Answer:
Step-by-step explanation: 812 - 523 = 289
Miss Davidson ran a sit-up competition among her P.E. students and monitored how many sit-ups each student could do. Number of sit-ups Number of students 76 3 79 5 175 2 X is the number of sit-ups that a randomly chosen student did. What is the expected value of X? Write your answer as a decimal.
Let the total number students be s. Then
s = 3 + 5 + 2= 10
x | Number of students(n) | Pr(x) | xPr(x)
---------------------------------------------------------------------------------
76 | 3 | 0.3 | 22.8
---------------------------------------------------------------------------------
79 | 5 | 0.5 | 39.5
--------------------------------------------------------------------------------
175 | 2 | 0.2 | 35
--------------------------------------------------------------------------------
[tex]\sum \text{xPr(x) = 22.8 + 39.5 }+\text{ 35 = 97.3}[/tex][tex]\text{ The expected value is }\sum \text{xPr(x)}[/tex]Therefore, the expected value of x is 97.3
Solve for .
4x4<8 AND 9x + 5 > 23
Answer:
solve for what? x or y? or anything another
Step-by-step explanation:
if x
1.
[tex] - \sqrt[4]{2} \sqrt[4]{2} [/tex]
2.
[tex]x = (2 \: or \: \infty )[/tex]
so hope it help
Find the perimeter of a rectangular garden that has a width of 4x−6 and a length of 2x+4. A6x−2B12x−4C8x^2+4x−24D12x^2+20
The perimeter of a rectangular garden with width w = 4x - 6 and length l = 2x + 4 is given by: 2w + 2l = 2(4x - 6) + 2(2x + 4) = 8x - 12 + 4x + 8 = 12x - 4
Answer: option B
Approximate the value of each irrational number. Explain your reasoning.
Part A
√30
write the following statements as an algebraic expression or equation.you have twice as many apples as bananas.the choices are in the picture
ok
apples = a
babanas = b
a = 2b
Jungkook has 84 coins. Of the coins, 7/12 are nickels, 3/12 are dimes, and the rest are quarters. What is the raito of Jungkook's nickels to dimes to quarters?
If 7 out of every 12 coins are nickles (7/12) and 3 out of every 12 coins are dimes (3/12), there has to be 2 quarters out of every 12 coins (2/12)
Now, the ratio would be:
[tex]7\colon3\colon2[/tex]Mimi wants to spend a $25 gift card on two kinds of in -app purchases for her favorite game: premium skins that cost $2.99, and tools that cost $4.99.
The equation that shows the way that Mimi can spend a $25 is 2.99p + 4.99t = 25.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Let the premium skins be p.
Let the number of tools be t.
This will be illustrated as:
(2.99 × p) + (4.99 × t) = 25
2.99p + 4.99t = 25
This illustrates the equation.
The complete question is given below.
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Mimi wants to spend a $25 gift card on two kinds of in -app purchases for her favorite game: premium skins that cost $2.99, and tools that cost $4.99. What is the equation to depict this?
is 12 an integer? Im getting confused answers
Answer:
Yes 12 is an Integer
Step-by-step explanation:
12 is a whole number that can be written without a fractional component, thus 12 is an integer.
Is 4 a factor of 64? How do you know?
Answer: yes
Step-by-step explanation: 64 is a factor of 4 because you can multiply it by 16 to get 64. Remember if you divide and get a whole number it is a factor .
Write the sum of (4 × 10³) + (3.2 × 10¹) in scientific notation.
A) 43.2 x 104
B 4.32 x 105
C) 43.2 x 105
D) 7.2 x 10¹
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{(4\times10^3) + (3.2\times 10^1)}[/tex]
[tex]\mathsf{= 4\times10^3 + 3.2\times 10^1}[/tex]
[tex]\mathsf{= 4\times10\times10\times10 + 3.2\times10}[/tex]
[tex]\mathsf{= 4\times100\times10 + 3.2\times10}[/tex]
[tex]\mathsf{= 4\times1,000 + 3.2\times10}[/tex]
[tex]\mathsf{= 4,000 + 32}[/tex]
[tex]\mathsf{= 4,032}[/tex]
[tex]\mathsf{\approx 4.032\times10^3}[/tex]
[tex]\huge\text{Thus, your answer SHOULD be: \boxed{\mathsf{4.032\times10^3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]A parabola can be drawn given a focus of (7,-3) and a directrix of y=-7. Write
the equation of the parabola in any form.
assume that for any given day, the probability of a sunny day is 80%, the probability of getting free pizza is 30%, and the probability of getting free pizza on a sunny day is 35%. a. what is the probability of a less than ideal day (no free pizza and no sun)?
The probability of a less-than-ideal day (no free pizza and no sun) is 0.25
Let us define the events from the example.
Let event A: Sunny day for any given day
event B: Getting free pizza for any given day.
Now, we will translate the word problem into our symbols.
The probability of a sunny day is 80% i.e P(A)=0.8
The probability of free getting pizza is 30% i.e. P(B) = 0.3
The probability of free pizza and a sunny day is 35% .i.e P(A∩B) = 0.35
a)Complement means not happening an event i.e. event A’ : No sunny day for any given day event B’: Not getting day free pizza for any given.
Here dash ( ‘ ) complement.
The probability of a less-than-ideal day
(no free pizza and no sun) is
P(A'∩B') = P(A∪B)'... (De Morgan's Jaw)
De Morgan's law: (A∩B)'= A'∪B'
(A∪B)’ = A'∩B'
P(A'∩B') = 1-P(A∪B) (P(A) = 1-P(A)).
= 1-[P(A) + P(B)-P(A∩B)]
= 1-[0.8+0.3-0.35]
P(A'∩B') = 0·25
The probability of a less-than-ideal day (no free pizza and no sun) is 0.25.
b)To check whether free pizza and sun are independent events or not, let us see when two events are said to be independent.
Two events (A & b) are said to be independent if P(A∩B) = P(A)· P(B)
Let us check whether this property satisfies our case or not.
LHS = P(A∩B)=0.35
RHS= P(A) P(B)
= 0.8 x 0.3
RHS = 0.24.
LHS ≠ RHS
P(ANB) ≠ P(A). P(B) in our case.
Two events A and B are not independent in our case
Sun and free pizza are not independent events.
c)Probability of no free pizza on a sunny day is P(A∩B').
P(A∩B') = P(A) - P(A∩B) = 0.8 0.35
P(A∩B') = 0·45
The probability of no free pizza on a sunny day is 0.45
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In a certain tourism destination, 28% of the city's residents work in the hospitality industry. 55% of residents are age 40 or younger, and 15% of residents are people age 40 or younger who work in the hospitality industry. What percentage of the employed population are people older than 40 who do not work in the hospitality industry?
A. 13%
B. 17%
C. 32%
D. 45%
The percentage of the employed population are people older than 40 who do not work in the hospitality industry is B. 17%.
How to calculate the percentage?The city's residents work in the hospitality industry = 28%
The residents that are age 40 or younger, and 15% of residents are people age 40 or younger = 55%
Those who work in the hospitality industry that are younger than 40% = 15%
Therefore, those that don't work in the industry will be:
Percentage of 40 or older - Percentage of those working
= (100 - 55%) - 28%
= 45% - 28%
= 17%
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Zimak bought 3 xylobars and 5 yackities from the intergalactic Candy store for 1.75 Jeejuju paid 1.88 and got 4 xylobars and 1 yackity.How much would dado pay fir 1 xylobar and 2 yakities?
The amount that Dado will pay for 1 xylobar and 2 yakities is 1.779.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Zimak bought 3 xylobars and 5 from the intergalactic Candy. Let this be:
3x + 5y = 1.75
x = xylobars
y = yackities
Jeejuju paid 1.88 and got 4 xylobars and 1 yackity. Let this be:
4x + y = 1.88
Equate the equations and this will be:
4x + y = 1.88 ....... i
3x + 5y = 1.75 .... ii
From equation i y = 1.88 - 4x
Put this into equation ii
3x + 5y = 1.75
3x + 5(1.88 - 4x) = 1.75
3x + 9.4 - 30x = 1.75
Collect like terms
3x - 30x = 1.75 - 9.4
-27x = -7.65
Divide
x = 7.65 / 27
x = 0.283
xylobars = 0.283
Since 4x + y = 1.88
4(0.283) + y = 1.88
1.132 + y = 1.88
y = 1.88 - 1.132
y = 0.748
The cost for 1 xylobar and 2 yakities will be:
x + 2y
0.283 + 2(0.748)
= 0.283 + 1.496
= 1.779
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using a survey, we have obtained a large dataset of how many close friends people have. its mean is 7 and its median is 4. the variance is 100. we calculate the standard scores. what is the value of the median of the standardized dataset? group of answer choices
For the standardized dataset , the value of median = mean , which is equal to 7
The mean of the close friends people have = 7
The variance = 100
Standard deviation can be found using the formula
v = σ²
where v is the variance and
σ is the standard deviation
Then , σ² = 100
σ = √100
σ = 10
Therefore , the standard deviation for the close friends have is 10
The standard score for these vales can be found using the formula
Z = (X - μ) / σ
where Z is the standard score
X is the raw score
μ is the mean
σ is the standard deviation
Using this formula, the standard score of any raw score can be calculated.
For, the standardized dataset , the value of median will be equal to value of median.
Median = mean
Median = 7
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How to solve 9/10 x 5/2 -5/4
The solution for the given algebraic expression is 1.
Is there any order to solve Math Operations?Yes, there is. When you solve any Math Operations, it is necessary to be attentive to the order of the solution.
First, you should solve the operation insides of Parentheses. After that priority is given to Exponents. Thereon, you can solve multiplication or division operations from left to right. Finally, addition or subtraction from left to right
See the order below
Parentheses Exponents Multiplication or Division from left to right Addition or Subctration from left to rightThe question gives:
9/10 x 5/2 -5/4
Following the order of operations:
Multiply from left to right9/10 * 5/2 = 45/20
Simplifying[tex]\frac{45:5}{20:5} =\frac{9}{4}[/tex]
Subtract from left to right
9/4 - 5/4 = 4/4 =1
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Carrie wants to make a wallpaper border to go around the top of her room. She wants the border to look something like the illustration below.
The answer is A Reflection
This question is answered
Since Carrie wants to make a wallpaper border to go around the top of her room. She wants the border to look something like the illustration below. This is a Reflection
What is transformation?A transformation is an operation that is performed on a picture. Transformations are classified into four types: translations, reflections, dilations, and rotations. In transformations, reflections are achieved by flipping a shape or figure across a line of reflection, a point of reflection, or a plane of reflection.
A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. The line of reflection is formed when an image reflects through a line. A figure is said to reflect another figure when every point in one figure is equidistant from every point in another figure.
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stephan is reviewing the data on product returns for an online retailer. thus far, 3.5% of all sold units were returned. if stephan takes 200 sold unit records, what is the probability that at most 6 units were returned?
3.5% of all sold units have been returned so far. The probability that at most 6 units were returned out of 200 sold unit records is 0.7323.
Given that,
For an online store, Stephan is evaluating the data on product returns. 3.5% of all sold units have been returned so far.
We have to find what is the probability that at most 6 units were returned out of 200 sold unit records.
From binomial,
Binomial to normal approximations without continuity factor Sample size ,
n = 200
Probability of an event of interest,
p = 0.035
P(0<=n<=2)
=0.7323
Therefore, the probability that at most 6 units were returned out of 200 sold unit records is 0.7323.
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The dial on a combination lock contains markings which represent the numbers from 0 to 39. How many 3- number combinations are possible if the first and the second must be different odd numbers, while the third number must not be an odd number?.
There are 64000 distinct combinations .
The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.
The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.
How many possible three-number combinations are there?
You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.
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he altitude of a triangle is increasing at a rate of 3.000 centimeters/minute while the area of the triangle is increasing at a rate of 4.000 square centimeters/minute. at what rate is the base of the triangle changing when the altitude is 9.500 centimeters and the area is 88.000 square centimeters?
The altitude exists 9.500 centimeters and the area exists 88.000 square centimeters is [tex]$ -\frac{9.26316}{4.75d}[/tex].
What is meant by the altitude of a triangle?A line segment passing through a triangle's vertex and running perpendicular to the line containing the base is the triangle's height in geometry. The extended base of the altitude is the name given to this line that contains the opposing side. The foot of the altitude exists the point at where the extended base and the height converge.
A triangle's altitude is determined by drawing a perpendicular line from its vertex to its opposite side. The altitude, sometimes referred to as the triangle's height, forms a right-angle triangle with the base.
Let A be the area of the triangle
h be the altitude
b be the base
The formula that relates the three is the area of a triangle
A = (1/2) bh
Note that anything listed as a "rate" is a derivative value.
dh (rate of change of altitude) = 3.000 cm/min
dA (rate of change of area) = 4 cm²/min
h = 9.500 cm
A = 88.000 cm²
Consider that both b and h are changing in this situation, so we have to treat them both as variables. This means we have to use the product rule, inserting the derivatives where applicable.
dA = (1/2) × db × h + (1/2)b × dh
substitute the values in the above equation, we get
4 = (1/2) × db × 9.5 + (1/2) b × 3.000
88 = (1/2) × b × 9.5
b = 18.52631
Now, looking back at our derivative
4 = (1/2) × db × 9.5 + (1/2) × 18.52631 × 3.000
simplifying the above equation, we get
4 = 4.75 db + 13.26316
b =[tex]$ -\frac{9.26316}{4.75d}[/tex]
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find the Length of an arcade of a circle whose central angle is 212° and radius is 5.3 inches. round your answer to the nearest tenth.
The length of the arc of the circle is 19.6 inches
We can find the length of the arc using the formula;
[tex]L\text{ = }\frac{\theta}{360}\text{ }\times\text{ 2}\pi r[/tex]where ;
[tex]\begin{gathered} \theta\text{ is central angle which is 212} \\ r\text{ is radius which is 5.3 inches} \end{gathered}[/tex]Substituting these values;
[tex]\begin{gathered} L\text{ = }\frac{212}{360}\text{ }\times\text{ 2 }\times\frac{22}{7}\text{ }\times\text{ 5.3} \\ \\ L\text{ = 19.618413} \\ \\ To\text{ the nearest tenth, this is 19.6 inches} \end{gathered}[/tex]an opinion poll of 4,000 (randomly selected) voters is con- ducted. the fraction of all voters in the population with an annual income above $50,000 is 35%. what is the chance that 1,450 or more of the voters with annual incomes above $50,000 will be polled?
4.8% of voters with annual incomes over $50,000 will be polled, or at least 1,450 of them when an opinion poll of 4,000 (randomly selected) voters is con.ducted
What is probabilty ?
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
We have,
n = 4000
p = 0.35 , q=1-p=0.65
= E(X) = np= 4000 (0.35) 600 1400
6 = SE(X) = √npq √ 4000 (0-35)(0.65) = 30.1662
Consider
P(X[tex]\geq[/tex]1450) = p 7
X-U
1450 1400
30.1662
=P(z>1,66)
=0.048457
from standard normal table,
Hence, 4.845% chance that 1,450 or more of the voters with annual incomes above $50,000 will be polled
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Which graph does not represent a function?
Answer: c
Step-by-step explanation:
Elliptical graphs fail the vertical line test as they have same x and y values at some places. Thus elliptical graph is not a function
can you please help me
We have to calculate the area and perimeter of ABC.
Area:
We can calculate the area by substracting from the area of the big triangle ABD the area of the little triangle BCD. Both are right triangles.
The area of ABD is:
[tex]A_{\text{ABD}}=\frac{b\cdot h}{2}=\frac{(15+5)\cdot12}{2}=\frac{20\cdot12}{2}=\frac{240}{2}=120[/tex]The area of BCD is:
[tex]A_{\text{BCD}}=\frac{b\cdot h}{2}=\frac{5\cdot12}{2}=\frac{60}{2}=30[/tex]Then, the area of ABC is:
[tex]A_{\text{ABC}}=A_{\text{ABD}}-A_{\text{BCD}}=120-30=90[/tex]The area of ABC is 90 cm^2.
Perimeter:
We calculate the perimeter by adding the length of the three sides. We know only 2 of the sides, so we have to calculate the other one (BC).
The length of BC can be calculated using Pythagorean theorem for the triangle BCD, so we can write:
[tex]\begin{gathered} BC^2=CD^2+BD^2=5^2+12^2=25+144=169 \\ BC=\sqrt[]{169}=13 \end{gathered}[/tex]Now, we can calculate the perimeter as:
[tex]P_{\text{ABC}}=AB+BC+AC=25+13+15=53[/tex]The perimeter is 53 cm.