The measure of angle PQS is of 23º, hence the correct option is given by option C.
What does the angle addition postulate state?The angle addition postulate states that if two angles share a common vertex and a common angle, forming a combination, the measure of the larger angle will be given by the sum of the smaller angles.
In the context of this problem, the angle PQR is the combination of angles PQS and SQR, hence the equation is given as follows:
m < PQR = m < PQS + m < SQR.
Replacing the measures into the equation, the value of x is obtained as follows:
5x + 8 + 2x - 3 = 26
7x = 21
x = 3.
Then the measure of angle PQS is obtained as follows:
PQS = 5(3) + 8 = 15 + 8 = 23º.
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2 1/4-6/7=
2 5/12-blank=2/3
7 1/12-5 3/8=
blank+7/10=2 9/20
To subtract 6/7 from 2 1/4, we need to find a common denominator. The least common multiple of 7 and 4 is 28, so we can convert 2 1/4 to 9/4 and 6/7 to 24/28. Then we can subtract:
9/4 - 24/28
= 63/28 - 24/28
= 39/28
Therefore, 2 1/4 - 6/7 = 39/28.
To solve for the blank in 2 5/12 - blank = 2/3, we can start by converting 2 5/12 to an improper fraction:
2 5/12 = (2*12 + 5)/12 = 29/12
Then we can subtract 2/3 from both sides:
2 5/12 - 2/3 = blank
To subtract these fractions, we need to find a common denominator. The least common multiple of 3 and 12 is 12, so we can convert 2/3 to 8/12. Then we can subtract:
29/12 - 8/12
= 21/12
= 7/4
Therefore, the blank in 2 5/12 - blank = 2/3 is 7/4.
To subtract 5 3/8 from 7 1/12, we need to find a common denominator. The least common multiple of 8 and 12 is 24, so we can convert both mixed numbers to improper fractions:
7 1/12 = (712 + 1)/12 = 85/12
5 3/8 = (58 + 3)/8 = 43/8
Then we can subtract:
85/12 - 43/8
= 85/12 - (433)/(83)
= 85/12 - 129/24
= 5/24
Therefore, 7 1/12 - 5 3/8 = 5/24.
To solve for the blank in blank + 7/10 = 2 9/20, we can start by converting 2 9/20 to an improper fraction:
2 9/20 = (2*20 + 9)/20 = 49/20
Then we can subtract 7/10 from both sides:
blank + 7/10 - 7/10 = 49/20 - 7/10
Simplifying the right side:
49/20 - 7/10 = (492)/(202) - (74)/(104) = 98/40 - 28/40 = 70/40 = 7/4
Therefore, blank + 7/10 - 7/10 = 7/4, and solving for blank:
blank = 7/4
Therefore, the blank in blank + 7/10 = 2 9/20 is 7/4.
You want to create a simulation of the following scenario:
In country x 50% of people have blood type O, 25% have blood type A, 12.5% have blood type B, and 12.5% have blood type AB.
In country y, 60% have blood type O, 20% have type A, 10% have type B and 10% have type AB.
What is the best way to assign values for a simulation using random digits table?
Choose answer from photo below! A, B, C, or D : this is the answer I want, not just an explanation please, thank you so much! 100 points!
Thank you :)
Answer: click thanks if you like my answer. have a good day <:
The best way to assign values for a simulation using a random digits table is to first identify the possible outcomes and assign a number or range of numbers to each outcome. Then, using the random digits table, randomly select digits and match them to the assigned outcomes.
For example, in the given scenarios for blood types in different countries, each blood type is assigned a specific number or range of numbers. Using the random digits table, the assigned numbers can be matched to the digits in the table to simulate the occurrence of each blood type in the population.
To answer the questions:
1.What is the purpose of assigning values for a simulation using a random digits table?
The purpose of assigning values for a simulation using a random digits table is to create a simulated scenario that reflects the likelihood of different outcomes based on assigned probabilities. This can help in making predictions and decisions in various fields such as medicine, finance, and social sciences.
2.In which scenario are blood types represented with the fewest number of digits?
Blood types are represented with the fewest number of digits in the third scenario for both Country X and Country Y. Blood type O is represented with 0, blood type A with 1, blood type B with 3, and blood type AB with 4, while all other digits are ignored.
3.In which scenario are blood types represented with the most number of digits?
Blood types are represented with the most number of digits in the first scenario for Country X, where blood type O is represented with 0, 1, 2, 3, 4, and 5, blood type A with 6 and 7, blood type B with 8, and blood type AB with 9. The same applies to Country Y in the first scenario.
Step-by-step explanation:
hope its help <:
HELP ASAP WILL GIVE BRAINLYEST AND 60 POINTS EACH
Answer: Reflection in the y -axis:
Explanation: The rule for a reflection over the y -axis is (x,y)→(−x,y) .\
58 points please urgent super urgent
4x=16
what is x
Answer:4? Think
Step-by-step explanation:
How do you write y = 6 in slope intercept form
Lmkkkk helppppppppppp
Answer:
1.986 x 10 to the tenth power
Step-by-step explanation:
Which relationships describe angles 1 and 2? Select each correct answer. O complementary angles O adjacent angles O vertical angles O supplementary angles
Answer:2
Step-by-step explanation:Because the 2 is closest to the middle line
Answer:
relationship describes angles 1 and 2 is supplementary angles. From the given figure
it is concluded that
the relation ship between angle 1 and 2 is supplementary angles
because its is linear pair
and forms a line
therefore , the angles are supplementary angles
hence , relationship describes angles 1 and 2 is supplementary angle
Step-by-step explanation: Hope this helps !! Mark me brainliest!! :))
Solve the given third-order differential equation by variation of parameters.
y''' + y' = cot(x)
Answer: To solve the third-order differential equation y''' + y' = cot(x) by variation of parameters, we first need to find the solution to the associated homogeneous equation, which is:
y''' + y' = 0
The characteristic equation is r^3 + r = 0, which can be factored as r(r^2 + 1) = 0. This gives us the roots r = 0, r = i, and r = -i. Therefore, the general solution to the homogeneous equation is:
y_h = c1 + c2 cos(x) + c3 sin(x)
To find a particular solution to the non-homogeneous equation using variation of parameters, we assume that the solution has the form:
y_p = u1(x) + u2(x) cos(x) + u3(x) sin(x)
where u1, u2, and u3 are functions to be determined.
We can find the derivatives of y_p:
y'_p = u1'(x) + u2'(x) cos(x) - u2(x) sin(x) + u3'(x) sin(x) + u3(x) cos(x)
y''_p = u1''(x) + u2''(x) cos(x) - 2u2'(x) sin(x) - u2(x) cos(x) + u3''(x) sin(x) + 2u3'(x) cos(x) - u3(x) sin(x)
y'''_p = u1'''(x) + u2'''(x) cos(x) - 3u2''(x) sin(x) - 3u2'(x) cos(x) - u2(x) sin(x) + u3'''(x) sin(x) + 3u3''(x) cos(x) - 3u3'(x) sin(x)
Substituting these derivatives into the non-homogeneous equation, we get:
u1'''(x) + u2'''(x) cos(x) - 3u2''(x) sin(x) - 3u2'(x) cos(x) - u2(x) sin(x) + u3'''(x) sin(x) + 3u3''(x) cos(x) - 3u3'(x) sin(x) + u1'(x) + u2'(x) cos(x) - u2(x) sin(x) + u3'(x) sin(x) + u3(x) cos(x) = cot(x)
Grouping the terms with the same functions together, we get:
u1'''(x) + u1'(x) = 0
u2'''(x) cos(x) - 3u2''(x) sin(x) - u2(x) sin(x) + u2'(x) cos(x) + u2'(x) cos(x) = cot(x) cos(x)
u3'''(x) sin(x) + 3u3''(x) cos(x) - 3u3'(x) sin(x) + u3'(x) sin(x) + u3(x) cos(x) = cot(x) sin(x)
The first equation is a first-order differential equation, which can be solved by integrating both sides:
u1'(x) + u1(x) = c1
where c1 is a constant of integration. The solution to this equation is:
u1(x) = c1 + c2 e^(-x)
where c2 is another constant of integration.
Step-by-step explanation:
I will mark you brainiest!
What is the value of x in the figure below
A) 4.5
B) 10
C) 5
D) None of the choices are correct
Answer:
I will not show you the process it is easy the answer is 4.5 or 6 ≈
an athlete ran 200m race in 25 seconds. how fast did he run in meters per second
Answer:
To calculate the speed of the athlete in meters per second (m/s), we can use the formula:
Speed = Distance / Time
Here, the distance is 200 meters and the time is 25 seconds. Substituting these values into the formula, we get:
Speed = 200 meters / 25 seconds
Simplifying, we get:
Speed = 8 meters/second
Therefore, the athlete ran at a speed of 8 meters per second.
PLEASE HELP Area of Cross Sections
Thus, the area of cross section perpendicular to the base area will be in form of rectangle : Area = 130.32 cm².
Explain about the Area of Cross Section?The area of a sliced piece of a 3D object, such a pipe, is known as the cross sectional area. The cross sectional area of a pipe when cut perpendicular to it's own longest axis is determined for the circle-shaped top portion of the sliced component.
Given data:
Base area of cylinder = 12.96 π cm²
height of cylinder = 18.1 cm.
Let the radius of the cylinder be 'r'.
Base area of cylinder = π*r².
π*r² = 12.96 π
r² = 12.96
r = 3.6 cm
now, the area of cross section perpendicular to the base area will be in form of rectangle with.;
Base = 2*r = 2*3.6 = 7.2 cm
height = 18.1 cm.
Area = base * height
Area = 7.2 * 18.1
Area = 130.32 cm²
Thus, the area of cross section perpendicular to the base area will be in form of rectangle : Area = 130.32 cm².
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Answer the questions about the graph shown below.
Therefore, all values of x that are less than or equal to -3 make up the inequality's solution set.
what is inequality ?An inequality in mathematics is a claim that two values or expressions are not equivalent to one another. A relationship between two values, where one value is larger than, less than, or not equal to the other, is expressed by an inequality. The inequality marks "" (less than), ">" (greater than), "=" (less than or equal to), ">=" (greater than or equal to), and "" can be used to denote an inequality (not equal to).
given
The disparity is as follows:
-3x + 2 ≥ 11
By subtracting 2 from both sides of the inequality and then dividing the result by -3, we can separate x on one side of the inequality .
-3x + 2 - 2 ≥ 11 - 2
-3x ≥ 9
x ≤ -3
Therefore, all values of x that are less than or equal to -3 make up the inequality's solution set.
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What is the measure of the intercepted arc of the inscribed angle shown in the image below?
Therefore, the measure of the intercepted arc by the inscribed angle of 61 degrees is 122 degrees.
What is circle?A circle is a closed shape in geometry that is defined as the set of all points in a plane that are at a fixed distance from a given point, called the center of the circle. The distance between any point on the circle and the center is called the radius of the circle.
Given by the question.
In a circle, an inscribed angle is an angle formed by two chords of the circle that have a common endpoint on the circle. The measure of an inscribed angle is half the measure of its intercepted arc.
Let's call the intercepted arc by the inscribed angle "x". Then, the measure of the inscribed angle is 61 degrees, and we can use the formula mentioned above to find the measure of the intercepted arc:
61 = x/2
To solve for x, we can multiply both sides of the equation by 2:
122 = x
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What is the total surface area for the square pyramid below? Responses 144 in2 144 in, 2 288 in2 288 in, 2 352 in2 352 in, 2 208 in2 208 in, 2 (Image)
Answer:
To find the total surface area of the square pyramid, we need to find the area of each of its faces and add them up.
The pyramid has a square base with sides of 8 inches and each triangular face has an isosceles right triangle shape with two sides of 8 inches and a hypotenuse of 2 x 8 = 16 inches (using the Pythagorean theorem).
The total surface area is then:
Area of the square base: 8 x 8 = 64 square inches
Area of each triangular face: 1/2 x 8 x 8 = 32 square inches (since each triangle is isosceles with base and height of 8 inches)
Total surface area: 4 x 32 + 64 = 192 + 64 = 256 square inches
Therefore, the total surface area of the square pyramid is 256 in². So, the closest answer option is 256 in, 2.
I need help with my iready assignment
The volume of the capsule is [tex]3052.08 mm^3[/tex]
What is volume of the hemisphere ?
The formula for the volume of a hemisphere is [tex]V = (2/3)\pi r^3[/tex], where r is the radius of the hemisphere.
The volume of a hemisphere is half of the volume of a full sphere with the same radius. This is because a sphere can be divided into two hemispheres of equal size. Therefore, we can use this formula to find the volume of a hemisphere:
[tex]V = (1/2) (4/3)\pi r^3[/tex]
Simplifying this expression, we get:
[tex]V = (2/3)\pi r^3[/tex]
So, the volume of a hemisphere is [tex](2/3)\pi r^3[/tex].
According to the question:
To find the volume of a capsule, we need to break it down into two parts: a cylinder and two hemispherical ends.
The formula for the volume of a cylinder is[tex]Vcylinder = \pi r^2h[/tex], where r is the radius of the cylinder and h is its height.
The formula for the volume of a sphere (or hemisphere) is[tex]Vsphere = (4/3)\pi r^3.[/tex]
Since the capsule is made up of two hemispheres and a cylinder, the total volume of the capsule is the sum of the volumes of these three parts:
[tex]Vcapsule = 2Vsphere + Vcylinder[/tex]
First, let's calculate the volume of the cylinder. We are given that the radius is 3mm and the height is 100mm, so we have:
[tex]Vcylinder = \pi r^2h = 3.14 x 3^2 x 100 = 2826 mm^3[/tex]
Next, let's calculate the volume of the hemispheres. Since the capsule has a radius of 3mm, each hemisphere has a radius of 3mm. So, we have:
[tex]Vsphere = (4/3)\pi r^3 = (4/3) ( 3.14) (3^3 )= 113.04 mm^3[/tex]
Finally, we can calculate the total volume of the capsule by adding the volume of the cylinder and the two hemispheres:
[tex]Vcapsule = 2Vsphere + Vcylinder = 2 *113.04 + 2826 = 3052.08 mm^3[/tex]
Therefore, the volume of the capsule is [tex]3052.08 mm^3[/tex].
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PLEASE HELP NOW PLEASE!!!!!!
Answer:
[tex]\frac{2}{3} ^{7}[/tex]
Step-by-step explanation:
1) Count how many [tex]\frac{2}{3}[/tex] there are.
[tex]\frac{2}{3} ^{7}[/tex]
Find d/dx (cos(x) + e^5x) using derivative rules.
O-sin(x) +5e^5x
O-sin(x) + 5xe^(5x-1)
O-sin(x) +e^5x
None of the answers listed is correct.
O sin(x) +e^5x
Answer:
1st one.-sin(X)+5e^5x
Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is paid off. Which describes the number of months it will take to pay off the debt? Select three options. x + 15 + 35 = 155 35 x + 15 = 155 35 x = 155 minus 15 It will take 8 months to pay off the debt. It will take 4 months to pay off the debt.
Answer: 3. 35x + 15 = 155
Step-by-step explanation:
35 x 4 = 140
140 + 15 = 155
Help me.. Please asap
The vector equations of L₂ when expressed as Cartesian equations are
y = 0
x = (z ± √(z² - 4(z-2))) / 2
z = [(4 - ((x-1)/(-z))²) ± √((4 - ((x-1)/(-z))²)² + 64)] / 8
What is the vector equation of the line L₂To find the vector equation of the line L₂, we need to find a vector that is perpendicular to L₁ and passes through the point (1,0,2). Let's start by finding the vector equation of L₁.
Let P(x,y,z) be a point on L₁. Then the vector equation of L₁ is given by:
r₁ = P + t * d₁
where d₁ is the direction vector of L₁ and t is a scalar parameter.
Since L₂ is perpendicular to L₁, its direction vector must be perpendicular to d₁. Thus, we can find a vector that is perpendicular to d₁ by taking the cross product of d₁ with any non-zero vector that is not parallel to d₁. Let's choose the vector (0,1,0):
v = d₁ x (0,1,0) = (-z,0,x)
Note that we can choose any non-zero vector that is not parallel to d₁, and we will still get a vector that is perpendicular to d₁.
Now we have a point on L₂ (1,0,2) and a direction vector (v), so we can write the vector equation of L₂:
r₂ = (1,0,2) + s * v
where s is a scalar parameter.
To express the Cartesian equations of L₂, we can write the vector equation as a set of three parametric equations:
x = 1 - sz
y = 0
z = 2 + sx
We can eliminate the parameter s by solving for it in two of the equations and substituting into the third equation:
s = (x - 1) / (-z)
s = (z - 2) / x
Setting these two expressions equal to each other and solving for x, we get:
[tex]x^2 - zx + z - 2 = 0[/tex]
This is a quadratic equation in x, so we can solve for x using the quadratic formula:
[tex]x = (z \± \sqrt{(z^2 - 4(z-2)})) / 2[/tex]
Substituting this expression for x into one of the parametric equations, we get:
y = 0
And substituting the expressions for x and s into the other parametric equation, we get:
[tex]z = 2 + [(z \± \sqrt{(z^2 - 4(z-2)})) / 2] * [(1 - sz) / (-z)][/tex]
Simplifying this equation, we get:
[tex]4z^2 - (4 - s^2)z - 4 = 0[/tex]
Again, this is a quadratic equation in z, so we can solve for z using the quadratic formula:
[tex]z = [(4 - s^2) \± \sqrt((4 - s^2)^2 + 64)] / 8[/tex]
z = [(4 - s²) ± √((4 - s²)² + 64)] / 8
Finally, we can substitute these expressions for x and z into one of the parametric equations to get:
[tex]y = 0\\x = (z \± \sqrt{(z^2 - 4(z-2)})) / 2\\z = [(4 - ((x-1)/(-z))^2) \± \sqrt{((4 - ((x-1)/(-z))^2)^2} + 64)] / 8[/tex]
These are the Cartesian equations of L₂.
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The Yellowstone National Park sits at an elevation of 8,000 to 11,000 feet above sea level. During the month of June, the temperature at 8,000 feet above sea level was recorded as 650 Fahrenheit, and, at a distance of 10,500 feet feet above sea level, the temperature was recorded as 15⁰ Fahrenheit. For every additional 100 feet above sea level, the temperature decreases by tº Fahrenheit, where t is a constant. What is the value of t?
Answer:
Step-by-step explanation:
To find the value of t, we can use the information given about the temperature at two different elevations and use the formula for a linear equation.
Let's assume that the temperature decreases by tº Fahrenheit for every additional 100 feet above sea level, where t is the constant we want to find.
Then, using the two points given:
- (8000, 65) where 65 is the temperature in Fahrenheit at 8000 feet above sea level
- (10,500, 15) where 15 is the temperature in Fahrenheit at 10,500 feet above sea level.
We can calculate the slope of the line connecting these two points:
slope = (15 - 65) / (10,500 - 8,000) = -25
The slope of the line represents the amount that the temperature decreases per unit increase in elevation. In this case, we've found that the temperature decreases by 25 Fahrenheit for each increase in elevation of 1000 feet.
To find the value of t, we need to express the slope in terms of the decrease in temperature per 100 feet of elevation. We can do this by dividing the slope by 10:
t = slope / 10 = -2.5
Therefore, the value of t is -2.5.
Write the solution in the interval notation x=1
Answer:
I'm too stressed rn like be so foreal
Answer:
x < 2 O R x > 1 ⇔ ( − ∞ , ∞ )
Explanation:
x < 2 means x can take any value less than two and interval notation, this means ( − ∞ , 2 ) , meaning that all numbers between − ∞ and 1 are included and as − ∞ and 2 are not included we have use small brackets. This forms one set of numbers, say P . x > 1 means x can take any value greater than one and interval notation tis means ( 1 , ∞ ) , meaning that all numbers between 1 and ∞ are included, but not 13 and ∞ . This forms another set of numbers, say Q . Hence x < 2 O R x > 1 represents the union of two sets P and Q i.e P ∪ Q or in other words ( − ∞ , 2 ) ∪ ( 1 , ∞ ) . Observe that P ∪ Q includes all the numbers from − ∞ to ∞ and hence x < 2 O R x > 1 ⇔ ( − ∞ , ∞ )
during last nights basketball game the number of points scored by the hornets was triple the number of points scored by the raiders the raiders scored 6 points how many points did the hornets score?
2
9
12
18?
Answer:
18
Step-by-step explanation:
siz times three is eighteen
A local doctor wants to test the effects of a new diet she decided to lower triglycerides on 10 randomly selected patients. The triglyceride level of each patient is checked twice, once before they start the diet, and again at three weeks after that time. The results are in the table below, (the photo). All data is in milligrams per deciliter (mg/dL).
The Null and alternative hypothesis for the study are (in the photo)
! Thank you , 100 points!!
A) test statistic T equals -1.952; P value, 0.0414. There is sufficient evidence to reject the null hypothesis of no difference between the triglyceride test levels.
B) test statistic, T equals 0.3619. P value, 0.6392. There is insufficient evidence to reject the null hypothesis of no difference between the triglyceride test levels.
C) test statistic, T = -1.952; p value, 0.0509. There is sufficient evidence to reject the no hypothesis of no difference between a triglyceride test levels.
D) test statistic T equals 0.3651. P value, 0.6425. There is insufficient evidence to reject the null hypothesis of no difference between the triglyceride test levels.
The correct answer is A) test statistic T equals -1.952; P value, 0.0414.
How would you define hypothesis?An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true. In the scientific process, the hypothesis is developed before any pertinent research—aside from a basic background review—has been conducted.
The null hypothesis that there is no difference between the triglyceride test levels is sufficiently refuted by the available data.
With 9 degrees of freedom and a significance threshold of 0.05, this can be ascertained by comparing the derived test statistic (T) with the critical value of t from the t-distribution table. We reject the null hypothesis if the estimated T value is in the rejection zone (i.e., T value is smaller than the critical value of t).
The computed T value in this instance is -1.952, which is in the rejection region (i.e., less than the critical value of t of -1.833). Hence, we get to the conclusion that there is enough data to imply that the new diet has an effect on lowering triglyceride levels and reject the null hypothesis that there is no difference between the triglyceride test levels.
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A student wants to investigate the chemical changes that a piece of wood undergoes when it is burned. He believes wood that burns for 15 minutes will weigh less than unburned wood. Design a laboratory experiment that would allow the student to test his predictions, using appropriate equipment and technology. Be sure to consider safety requirements in your answer.
Answer:
Experimental Procedure:
Materials:
Piece of wood
Electronic balance
Bunsen burner
Heat-resistant mat
Stopwatch or timer
Safety goggles
Lab coat
Safety Precautions:
Wear safety goggles and a lab coat to protect your eyes and clothing from any sparks or flames.
Place the heat-resistant mat under the Bunsen burner to prevent any accidental fires.
Use the Bunsen burner only under adult supervision.
Be cautious when handling hot objects, and allow them to cool before touching.
Procedure:
Measure the initial mass of the piece of wood using an electronic balance, and record it in a table.
Light the Bunsen burner, and place the piece of wood over the flame using tongs. Ensure that the wood is fully engulfed in the flame.
Use a stopwatch or timer to time how long the wood burns for (in this case, 15 minutes).
After 15 minutes, turn off the Bunsen burner and remove the piece of wood from the flame using tongs.
Allow the wood to cool, and then measure its final mass using the electronic balance, and record it in the table.
Calculate the difference between the initial and final mass of the wood, and record it in the table.
Repeat steps 1-6 three times to obtain three sets of data.
Calculate the average mass of the burned wood and compare it to the initial mass of the unburned wood to determine if the student's prediction was correct.
Conclusion:
If the average mass of the burned wood is less than the initial mass of the unburned wood, the student's prediction was correct, and he can conclude that the wood underwent a chemical change when it was burned. If the average mass is greater than or equal to the initial mass, the prediction was incorrect, and the student may need to revise his hypothesis or experimental design.
ASAP ASAP!!!!
[tex] {1}^{3 } [/tex]
1³=??
a) Construct a probability distribution
b) Graph the probability distribution using a histogram and describe its shape
c) Find the probability that a randomly selected student is less than 20 years old.
d) Find the probability that a randomly selected student's age is more than 18 years
old but no more than 21 years old.
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The probability that a randomly selected student's age is more than 18 years old but no more than 21 years old is 0.57.
What is a continuous random variable's probability?
Continuous random variables are defined as having an infinite number of possible values. A continuous random variable hence has no probability of having an accurate value.
a) In order to create a probability distribution, all potential values of the random variable must be listed along with the related probabilities. We may get the relative frequency (or probability) for each value of the random variable from the above frequency distribution:
Age Frequency Probability
16 3 0.03
17 5 0.05
18 10 0.10
19 15 0.15
20 20 0.20
21 22 0.22
22 17 0.17
Total 92 1.00
b) We can use a histogram to see the probability distribution. The likelihood is represented by the vertical axis, while the age is represented by the horizontal axis. The height of each bar in the histogram should represent the likelihood for that age, with bars for each age value.
With a peak at age 20, the distribution's shape looks to be roughly symmetrical.
c) To get the likelihood that a student chosen at random is under 20 years old, we must add the probabilities for the ages 16, 17, 18, and 19:
P(age < 20) = P(age = 16) + P(age = 17) + P(age = 18) + P(age = 19)
= 0.03+0.05+0.10+0.15
= 0.33
Consequently, there is a 0.33 percent chance that a randomly chosen student is under 20 years old.
d) To determine the likelihood that a randomly chosen student is older than 18 but not older than 21, we must add the probabilities for the ages 19, 20, and 21:
P(18 < age ≤ 21) = P(age = 19) + P(age = 20) + P(age = 21)
= 0.15 + 0.20 + 0.22
= 0.57
As a result, there is a 0.57 percent chance that a randomly chosen student will be older than 18 but not older than 21.
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What is the volume of this cone?
The volume of the cone is 2119. 5 cubic centimeters
How to determine the volume of the coneThe formula used for calculating the volume of a cone is expressed as;
V = πr² h/3
Given that the parameters are namely;
V is the volume of the cone.π takes the constant value of 3.14h is the height of the cone.r is the radius of the cone.Now, substitute the values, we have;
Volume , V = 3.14 × 15² × 9/3
Divide the values, we have;
Volume = 3.14 × 225 × 3
Multiply the values, we get;
Volume, V = 2119. 5 cubic centimeters
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The ships kitchen stocks 1 3/5 quarts of ice cream for every 1/4 cake. There are 10 cakes in the kitchen. How many quarts of ice cream are there?
Please explain if you really really know the answer
Therefore , the solution of the given problem of unitary method comes out to be the pantry has 16 quarts of ice cream.
What is an unitary method?The goal can be achieved by making use of what has expression learned to date, utilizing this global access, and incorporating all crucial elements from previous changeable study that employed a specific technique. It is going to be equation possible to get in touch with the entity again if the expected claim result actually happens, or both crucial processes will surely miss the statement. A Rs ($1.21) redeemable fee may be needed for fifty pens.
Here,
Finding the overall quantity of cake in the kitchen is a good place to start. If there are 10 pastries, each measuring 1/4 inch, then there will be:
=> 10 desserts divided by 1/4 each equals the total cake.
=> Cake total equals 10/4 cakes.
=> 2.5 pastries altogether
=> 1 3/5 pints of ice cream for every 1/4 cake.
=> 8 and a half pints of ice cream per 1/4 cake
To determine the total amount of ice cream, we can multiply the ice cream per cake by the total number of cakes:
=> Total ice cream equals the sum of the cakes' ice cream.
=> Total ice cream = (8/5 quarts per 1/4 cake) * (10/4 cakes)
=> Total ice cream = 16 quarts
Consequently, the pantry has 16 quarts of ice cream.
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another bank offers a different savings rate. if an account with $400 earns interest of $6, how much interest is earned by an account with $1800?
Answer:
$27
Step-by-step explanation:
$400 earns $6
$6÷$400= 0.015% interest
$1800 * 0.015% = $27
A carpenter has a box of nails of various
different lengths. You decide to practice your
weighted averaging skills to figure out the
average length of a nail in the box. You grab
two handfuls of nails and count out the
number of each type of nail. You record your
data in the table below.
Sample
Type
Short nail
Medium nail
Long nall
Number
of Nails
67
18
10
Abundance
(%)
[7]
Nail Length
(cm)
2.5
5.0
7.5
What is the percent abundance of the
medium nails in your sample?
Med Nail % Abund.
Enter
According to the question the percent abundance of the medium nails in the sample is approximately 18.95%.
Explain medium?Whenever the set of data is presented from least to largest, the median is indeed the number in the middle. For instance, since 8 is in the middle, this would represent the median value here.
To find the percent abundance of the medium nails in the sample, we first need to calculate the total number of nails in the sample:
Total number of nails = 67 + 18 + 10 = 95
Next, we can calculate the percent abundance of the medium nails using the formula:
Percent abundance = (number of medium nails / total number of nails) x 100%
Using the values from of the table as inputs, we obtain:
Percent abundance of medium nails = (18 / 95) x 100% ≈ 18.95%
As a result, the sample's average percentage of medium nails is roughly 18.95%.
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