The theoretical probability of drawing a blue marble from a jar containing 21 brown and 19 blue marbles is 19/40, or 0.475.
To calculate this, divide the number of blue marbles by the total number of marbles in the jar. 19 divided by 40 equals 0.475, or 19/40. This means that there is a 47.5% chance of drawing a blue marble from the jar.
The probability of drawing a specific marble from the jar can be expressed using the formula P(A) = n(A)/n(T).
In this example, the probability P(A) is the chance of drawing a blue marble, n(A) is the number of blue marbles (19) and n(T) is the total number of marbles in the jar (40). Therefore, P(A) = 19/40 = 0.475.
To know more about theoretical probability click on below link:
https://brainly.com/question/30604977#
#SPJ11
When the temperature drops below 15°C in a building, the furnace turns on.
At what temperatures will the heater turn on? Write an inequality to represent
this situation, and graph the solution on a number line.
The inequality to represent this situation is T < 15°C, where T is the temperature.
What is inequality?Inequality is a statement that two values, expressions, or quantities are not equal. Inequality is usually represented by the symbols ">", "<", "≥", or "≤".
This inequality can be graphed on the number line by representing 15°C as a point on the number line. Any values to the left of 15°C, such as 14°C, 13°C, and so on, would be represented as points to the left of 15°C on the number line.
Less than inequality is used to compare two values to see if one is less than the other. In this case, the inequality T < 15°C states that the temperature T must be less than 15°C in order for the furnace to turn on.
Graphically, the solution to this inequality is represented by a number line with a point at 15°C and all points to the left of 15°C represented in the solution set.
For more questions related to number line
https://brainly.com/question/25230781
#SPJ1
A house plan has concrete stairs leading down into the garage. How much concrete is needed to make the stairs? 3 ft 2 ft 8 ft 5 ft [? ] ft ³ 2 ft 8 ft 1 ft
The amount of concrete needed to make the stairs that leads to the garage is 64 cubic feet
Calculating the amount of concrete needed to make the stairs?The missing information is added as an attachment
The concrete needed to make the stairs is the volume of the stairs and this is calculated using
Volume = Base area * Height
Where
Base area = 3 * 2 + 2 * 1
Base area = 8
And
Height = 8
So, we have
Volume = 8 * 8
Evaluate
Volume = 64
Hence, the amount needed is 64 cubic feet
Read more about volume at
https://brainly.com/question/463363
#SPJ1
a spinner with the colors red, yellow, blue, and green is spun. what is the theoretical probability of stopping on the color blue?
The theoretical probability of stopping on the color blue when spinning a spinner with the colors red, yellow, blue, and green is 25% or 1/4.
A spinner is a tool that spins around an arrow or a pointer that points towards the numbers, colors, or pictures around its edge. The probability of a certain event is the likelihood of that event occurring. In this case, we need to find the theoretical probability of stopping on the color blue.
We have four colors on the spinner, so the probability of stopping on blue can be found using the formula of theoretical probability.
The formula for theoretical probability is:
number of favorable outcomes / total number of outcomes.
Since we have four colors on the spinner, the total number of outcomes is 4. The favorable outcomes are the number of times the spinner will land on blue, which is 1.
So the probability of stopping on the color blue can be calculated as follows:
1 (favorable outcome) / 4 (total number of outcomes) = 1/4
So, the theoretical probability of stopping on the color blue is 1/4. This is because there is an equal chance of landing on any of the four colors, and since there are four colors, each has a 25% chance of being selected.
Know more about probability here:
https://brainly.com/question/13604758
#SPJ11
PLEASE HELP MARKING BRAINLEIST JUST ANSWER ASAP AND BE CORRECT
Answer:
4t - 22
Step-by-step explanation:
To find:-
Perimeter of the given figure.Answer:-
To find out the perimeter we can simply add all the side lengths of the given figure. Since the given figure here is a rectangle, we can add up all the four sides to find the perimeter.
The four sides given to us are t-6 , t-5 , t-6 and t-5 .
Hence the perimeter of the quadrilateral would be ,
Perimeter = t-5 + t-6 + t-5 + t-6
Perimeter = 4t - 10 - 12
Perimeter = 4t - 22
Hence the perimeter of the given figure us 4t - 22.
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{$\sf\large t-5$}\multiput(-1.4,1.4)(6.8,0){2}{$\sf\large t-6$}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture} [/tex]
John is making apple pies and apple cobblers to sell at his stand at the Farmer's Market.
A pie uses 4 cups of apples and 3 cups of flour.
A cobbler uses 2 cups of apples and 3 cups of flour.
John has 16 cups of apples and 15 cups of flour.
When John sells the pies and cobblers at the Farmer's Market, he will make $3.00 profit per pie and $2.00 profit per cobbler.
Let x = the number of pies John makes.
Let y = the number of cobblers John makes.
Enter the four constraints into the graphing calculator.
What are the vertices of the feasible region?
Hint: input your answers from questions 3, 4, and 5 into Desmos to find the vertices.
Answers from questions 3, 4, and 5
[tex]4x+2y≤16\\3x+3y≤15\\x≥0\\y≤0[/tex]
Answer:huh,
Step-by-step explanation:I don’t understand you’re saying
Physics graduate student Laura Van Ertia has conducted a complete randomized design with a single factor, hoping to solve the mystery of the unified theory and complete her dissertation. The results of this experiment are summarized in the following ANOVA display:What is the sum of squares for the factor?
Remember, accurate interpretation of the results is essential for the success of Laura's dissertation.
The sum of squares for the factor in Laura Van Ertia's experiment can be found in the ANOVA display. ANOVA stands for Analysis of Variance, and it is a statistical method used to compare the means of two or more groups. The sum of squares is a measure of the variation within the data, and it helps to determine whether the differences between groups are statistically significant.
In the given question, you have not provided the actual ANOVA display, which is necessary to determine the sum of squares for the factor. The ANOVA table typically consists of columns for sources of variation (such as between groups and within groups), degrees of freedom, sum of squares, mean squares, F-ratio, and p-value. The sum of squares for the factor can be found in the 'sum of squares' column corresponding to the between-group variation row.
Once you have the ANOVA display, locate the sum of squares for the factor and use it in your analysis to understand the results of the experiment and its implications on the unified theory.
for such more questions on Analysis of Variance
https://brainly.com/question/28566238
#SPJ11
A business owner applies for a credit card to cover $14,000 in emergency expenses. The credit card charges 16.99% annual interest compounded continuously. If no payments are made for 2 years, what will the balance on the card be, rounded to the nearest penny?
Credit card charges $19665.33 will the balance on the card be, rounded to the nearest penny.
What is interest in simple words?
When you borrow money, you must pay interest, and when you lend money, you must charge interest. The most common way to represent interest is as a percentage of a loan's total amount per year. The interest rate for the loan is denoted by this proportion.
Interest is the cost of borrowing money and is typically stated as a percentage, such an annual percentage rate (APR). Lenders may charge interest to borrowers for the use of their funds, or borrowers may charge interest to lenders for the use of their funds.
amount applied for = $14,000
interest rate = 16.99%
the balance after 2 years
P₀ = $1400
r = 16.99% = 0.1699
t = 2
[tex]P_{0} = P_{0}e^{rt}[/tex]
[tex]P_{2} = 1400e^{0.1699 * 2}[/tex]
≈ $19665.33
Learn more about Interest
brainly.com/question/30393144
#SPJ1
Debra’s rectangular vegetable garden measures 9 1/3 yards by 12 yards. A bottle of garden fertilizer costs $14.79. If Debra needs to mix 1/8 cup of fertilizer with water for each square yard of her garden, how many cups of fertilizer does she need?
She needs 14 cups of fertiliser.
What is the area?
A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface.
Area = length * width
Find the area of the garden:
Area = 9 1/3 * 12
= 28/3 * 12
= 112 yards²
Find the amount of the fertiliser needed:
1 yards² = 1/8 cup
112 yards² = 1/8 * 112 = 14 cups
She needs 14 cups of fertiliser.
To learn more about the area from the given link
https://brainly.com/question/25292087
#SPJ1
help i need help with this its very hard
Answer:
3a + 2b
Step-by-step explanation:
Let the unknown side have length X.
X + X + 5a - b + 5a - b = 16a + 2b
2X + 10a - 2b = 16a + 2b
2X = 6a + 4b
X = 3a + 2b
Answer: 3a + 2b
if one flag pole is y feet tall and casts a shadow x feet long, then how tall is another nearby flag pole that casts a shadow p feet long at the same time of day?
If one flag pole is y feet tall and casts a shadow x feet long, and another nearby flag pole casts a shadow p feet long at the same time of day, we can use similar triangles to determine the shadow of the second flag pole.
In this scenario, the two flag poles and the ground form two similar right triangles. The height of the first flag pole (y) corresponds to one leg of the first triangle, and the length of its shadow (x) corresponds to the other leg.
Similarly, the height of the second flag pole (h) corresponds to one leg of the second triangle, and the length of its shadow (p) corresponds to the other leg.
Therefore, the height of the second flag pole is equal to the product of the height of the first flag pole and the length of the shadow of the second flag pole, divided by the length of the shadow of the first flag pole.
For more details about shadow click here:
https://brainly.com/question/31162142#
#SPJ11
a cable tv receiving dish is in the shape of a paraboloid of revolution. find the location of the receiver, which is placed at the focus, if the dish is 6 feet across at its opening and 2 feet deep.
the receiver is located at (0, 0, 2.25 feet) or (0, 0, 27 inches).To find the location of the receiver, we first need to determine the equation of the paraboloid.
The standard equation for a paraboloid of revolution with a vertical axis is:
z = [tex](x^2 + y^2)[/tex]/(4f)
Where:
z is the height at any point (x, y) on the paraboloid.
x and y are the horizontal coordinates of the point.
f is the focal length of the paraboloid, which is half the depth of the dish.
In this case, the dish is 6 feet across at its opening, so the diameter is 6 feet and the radius is 3 feet. Therefore, the maximum value of x and y is 3 feet. The depth of the dish is given as 2 feet.
Using these values, we can solve for the focal length:
2 = [tex](3^2 + 3^2)[/tex]/(4f)
2 = 18/(4f)
f = 18/8 = 9/4 = 2.25 feet
Now that we have the value of f, we can find the location of the receiver, which is placed at the focus of the paraboloid. The focus is located at (0, 0, f).
Therefore, the receiver is located at (0, 0, 2.25 feet) or (0, 0, 27 inches).
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
Which of these is a pythagorean triple?
Responses
9, 40, 41
7, 26, 89
1, 2, 3
36, 48, 62
Answer:
The first one
Step-by-step explanation:
Use the pythagoras theorem=a ^2+b^2 =c^2
Use a is 9 b is 40 because the largest value is always the hypotenuse and the hypotenuse is always c.
so you do 9 squared add 40 squared to find c squared.
Square root the answer and you get 41 so it is a pythagoras triple
if you're good at quadratics...
Therefore, the correct answer is: [tex](x+10)^2=82[/tex]. ( right hand side of the equation).
What is equation?An equation is a mathematical statement that indicates that two expressions are equal. It typically contains variables, which are represented by letters, and may also include constants and operators. The general format of an equation is:
expression = expression
For example, the equation x + 2 = 6 means that the expression x + 2 is equal to the expression 6. The goal of solving an equation is to find the value(s) of the variable(s) that make the equation true.
To solve the quadratic equation by completing the square, Jamie needs to follow the steps:
Move the constant term to the right-hand side of the equation:
[tex]x^2 + 20x = -18[/tex]
Add and subtract the square of half the coefficient of x to the left-hand side of the equation:
[tex]x^2 + 20x + (20/2)^2 - (20/2)^2 = -18[/tex]
[tex](x+10)^2 - 100 = -18[/tex]
Simplify the right-hand side of the equation:
[tex](x+10)^2 = 82[/tex]
To know more about coefficient, visit
https://brainly.com/question/30066987
#SPJ1
the volume of a cube decreases at a rate of 6 m 3 / s . find the rate at which the side of the cube changes when the side of the cube is 4 m . answer exactly or round to 2 decimal places.
The rate at which the side of the cube changes when the side of the cube is 4 m is -1/8 m/s (or approximately -0.125 m/s).
Let's use the formula for the volume of a cube:
V = s³
where V is the volume and s is the length of one side of the cube. To find the rate of change of the side length, we need to differentiate this formula with respect to time t:
dV/dt = d/dt (s³) = 3s² ds/dt
We know that dV/dt = -6 m³/s (the negative sign indicates that the volume is decreasing), and when s = 4 m, we have:
-6 = 3(4²) ds/dt
Simplifying this equation gives us:
ds/dt = -6 / (3*4²) = -1/8 m/s
Learn more about cube here: brainly.com/question/30962206
#SPJ4
Pls just say a b c or d
What is the value of k?
127.3°
Hi does anyone know how to do problem 2 and 3 on the worksheet?
2. Using percentage, we can find that Melissa needs to save $34500 in order to purchase the house.
3. The project was worth 97 points.
Define percentage?The denominator of a percentage (also known as a ratio or fraction) is always 100.
As a percentage, "%" is read as "percent" or "percentage" in this context.
You may always "divide by 100" this percent symbol to make it into a fraction or decimal equivalent.
Here we can see that Melissa has already $2500 in her savings account.
Total cost of house = $185000
Now for the loan she needs to have 20% of the mortgage as savings.
20% of $185000
20/100 × 185000
= 37000
Now she already has $2500.
So, the amount she need to save is= $37000 - $2500
= $34500
Now, total grade Brooke received = 87.
10 points have been taken off for her mistakes.
Total worth of test = 87+10 =97points.
To know more about percentages, visit:
https://brainly.com/question/28840349
#SPJ1
An angle measures 62° more than the measure of its complementary angle. What is the measure of each angle?
PLEASE HELP!
The sum of the roots of a monic quadratic is -6, and the product of its roots is 7. What is the quadratic?
Answer with a quadratic expression using the variable x such as x^2 + 10x + 20
Answer:
x^2 +6x+7
Step-by-step explanation:
for roots a and b
x^2 - (a+b)x + ab = (x-a)(x-b)
PLEASE HURRY !! I NEED HELP!!!
Answer:$10
Step-by-step explanation: We are given the ratio 9:1. Meaning for every 9 dollars he spends on healthy food, he can spend a dollar on snacks. If he intends on paying 100 dollars total, how much will he spend on snacks?
He would have spent 90 dollars on healthy food, and 10 dollars on snack food. Totaling 100 dollars.
during a one-month promotional campaign, tiger films gave either a free dvd rental or a 12-serving box of microwave popcorn to new members. it cost the store $1 for each free rental and $2 for each box of popcorn. a total of 89 new members were signed up and the store's cost for the incentives was $135. how many of each incentive were given away?
By using system of equations, there are 43 free DVD rentals and 46 boxes of microwave popcorn were given away during the promotional campaign.
Let's use the following variables
x: the number of free DVD rentals given away
y: the number of boxes of microwave popcorn given away
We can set up a system of equations to represent the given information:
x + y = 89 (total number of new members signed up)
1x + 2y = 135 (total cost of the incentives)
We can solve for x or y in the first equation and substitute into the second equation
x = 89 - y
1(89 - y) + 2y = 135
89 - y + 2y = 135
y = 46
Substituting y = 46 into the first equation:
x + 46 = 89
x = 43
Therefore, 43 free DVD rentals and 46 boxes of microwave popcorn.
To know more about System of equations:
https://brainly.com/question/12895249
#SPJ4
Last year, 89 musicians attended a jazz camp, and 15 of them were bassists. What is the experimental probability that the first musician to sign up will be a bassist?
There is a roughly 16.85% chance that a bassist will be the first musician to register for the jazz camp.
What is experimental probability?Experimental probability is a type of probability that is based on actual observations or experiments. It is also called empirical probability
According to question:The ratio of the frequency of an occurrence to the total number of trials or observations is known as the experimental probability. In this case, the event is the first musician to sign up being a bassist.
Since there were 15 bassists out of 89 musicians who attended the camp last year, the experimental probability of the first musician to sign up being a bassist is:
Experimental probability = Number of bassists / Total number of musicians
Experimental probability = 15 / 89
Experimental probability = 0.1685 or approximately 16.85%
As a result, there is a roughly 16.85% chance that a bassist will be the first musician to register for the jazz camp.
To know more about experimental probability visit:
https://brainly.com/question/30694293
#SPJ1
What is the endpoint of a line segment with these points? Endpoint: Z(–21, 15) Midpoint: M(–13, 29) (–5, 43) (–17, 22) (–27, 21) (–29, 1)
Answer: A - (-5, 43)
Step-by-step explanation:
QUESTION 1. Assume we are testing a function with 3 variables:
Variable A: has values 0 and 1
Variable B: has values 0 and 1
Variable C: has values 0 and 1
What is the total 2-way variable value configuration coverage achieved by the following tests:
A=0; B=0; C=1
A=0; B=1; C=1
A=1, B=0, C=0
The total 2-way variable achieved by the given tests is 6.
How to find 2-way variable?
There are three pairs of variables, and each pair can have two possible values, resulting in 2-way variable value configurations. Therefore, the total 2-way variable value configuration coverage achieved by the given tests is 6, as follows:
A=0, B=0
A=0, C=1
B=0, C=1
A=0, B=1
A=1, B=0
A=1, C=0
Learn more about 2-way variable
brainly.com/question/29435977
#SPJ11
A triangle with side lengths 7, 6, 4 is
Acute
Right
Obtuse
Right
so 7 is the hypotenuse because it is the biggest. so you have to use 6 and 4 in the formula to see if they equal 7.
(a)²+(b)²=c²
(6)²+(4)²=c²
36+16=c²
(square root) 52=c²
the square root of 52 is 7
so therefore it is a right triangle.
what is the value of t?
Answer:
t=36°
Step-by-step explanation:
90-54=36
opposite angles are equal so t=36°
26. In the given figure, OP || RS. ZPQR = 60° and QRS = 130°. Then what is the measure of ZOPQ? S P 60% R 130⁰
Answer: The answer is 60.
Step-by-step explanation:
Using the fact that OP || RS, we know that∠RWV = 180° − 130° 1. ∠RWV = 50° We know that,∠PWQ = ∠RWV = 50° (Since, opposite angles of intersecting lines are equal) Also, for line OP∠OQP + θ = 180° θ = 180° − ∠OPQ = 180° − 110° 2. θ = 70°
Answer:
The measure of ∠OPQ is 110°.
Step-by-step explanation:
Draw a line parallel to OP from point Q. Label a point on the line T. (See attached diagram).
Angles SRQ and TQR are alternate interior angles, and so according to the Alternate Interior Angles Theorem, they are congruent.
⇒ m∠TQR = m∠SRQ = 130°
Given m∠PQR = 60° and m∠TQR = 130° then:
⇒ m∠TQP + m∠PQR = m∠TQR
⇒ m∠TQP + 60° = 130°
⇒ m∠TQP = 70°
Angles OPQ and TQP are same-side interior angles, and so according to the Same-side Interior Angles Theorem, they are supplementary (sum to 180°).
⇒ m∠OPQ + m∠TQP = 180°
⇒ m∠OPQ + 70° = 180°
⇒ m∠OPQ = 110°
Therefore, the measure of ∠OPQ is 110°.
PLEASE HELP AND PLEASE SHOW ALL STEPS IT WOULD BE VERY MUCH APPRECIATED!!
Answer:
I got to #1 and #3 but I didn't finish in time and I have to leave before I can finish the other ones, my apologies. The solve and steps for 1 and 3 are below. If no one has answered the other two I can probably solve the other two later tonight!
Hope this helps!
Luca owns a food truck called The Muffin Man, and this week, he is making a specialty flavor by adding cheddar cheese and hot peppers to corn muffin mix. The mix comes in a box shaped like a rectangular prism with a volume of 60 cubic inches. The box has a length of 5 inches and a height of 8 inches
The width of the rectangular prism box is 1.5 inches if the length of the box is 5 inches and the height of the box is 8 inches.
The volume of a rectangular prism = 60 cubic inches.
The length of the box = 5 inches
The height of the box = 8 inches
To calculate the width of the rectangular prism, we can use the formula for volume:
Volume = length * width * height
Mathematically,
V = l*w*h
60 = 5w * 8
w = 60 / (5 * 8)
w = 1.5 inches
Therefore we can conclude that the width of the rectangular prism box is 1.5 inches.
To learn more about rectangular prism
https://brainly.com/question/21308574
#SPJ4
a sample of test scores is normally distributed with a mean of 120 and a standard deviation of 10. what score is located 2 standard deviations below the mean? g
The score located 2 standard deviations below the mean is 100. This score can be found by subtracting 2 standard deviations (20) from the mean (120).
The normal distribution is a bell-shaped curve that is symmetrical around the mean. This means that if you calculate the number of standard deviations away from the mean, you can use the same number to calculate how many standard deviations away from the mean the score is.
For example, in this question, the mean is 120 and the standard deviation is 10. To find the score located 2 standard deviations below the mean, subtract 2 standard deviations from the mean. This means the score is 120 - 20 = 100.
In general, the formula for calculating the score located x standard deviations away from the mean is:
Score = Mean + (x * Standard Deviation)
For example, to find the score located 4 standard deviations away from the mean, the formula is:
Score = Mean + (4 * Standard Deviation)
In this example, the score is 120 + (4 * 10) = 160.
In summary, to find the score located x standard deviations away from the mean, use the formula:
Score = Mean + (x * Standard Deviation)
See more about normal distribution at: https://brainly.com/question/14243195
#SPJ11