Answer:
(a) 12.5%
(b) 20%
(c) 96th
Step-by-step explanation:
Let X denote the results of the 2018 SAT math exam.
It is provided that the mean of exam was, μ = 531 and standard deviation of σ 114.
Assume that X follows a normal distribution.
(a)
Compute the probability of test takers who scored lower than 400 on the math SAT as follows:
[tex]P(X<400)=P(\frac{X-\mu}{\sigma}<\frac{400-531}{114})[/tex]
[tex]=P(Z<-1.15)\\\\=0.12507\\\\\approx 0.125[/tex]
Thus, the percentage of test takers who scored lower than 400 on the math SAT is 12.5%.
(b)
Compute the probability of test takers who scored between 600 and 700 points as follows:
[tex]P(600<X<700)=P(\frac{600-531}{114}<\frac{X-\mu}{\sigma}<\frac{700-531}{114})[/tex]
[tex]=P(0.61<Z<1.48)\\\\=P(Z<1.48)-P(Z<0.61)\\\\=0.93056-0.72907\\\\=0.20149\\\\\approx 0.20[/tex]
Thus, the percentage of test takers who scored between 600 and 700 points is 20%.
(c)
Compute the value of P (Z < 725) as follows:
[tex]P(X<725)=P(\frac{X-\mu}{\sigma}<\frac{725-531}{114})[/tex]
[tex]=P(Z<1.70)\\\\=0.95543\\\\\approx 0.96[/tex]
Thus, a student who scores 725 has a 96th percentile rank.
Please help with question I’m confused
Answer:
x = 2
Step-by-step explanation:
Subtract x from both sides
you get 6x = 12
divide the 12 by 6
you get 2.
Answer:
x = 2
Step-by-step explanation:
4 - 7x = x - 12
+7x +7x
4 = 8x - 12
+12 +12
16 = 8x
16/8 = x
2 = x
kimfrelcastro3kimfre
What does kimfrelcastro3kimfre mean?
1. Which function is best represented by this graph?
Step-by-step explanation:
the answer is y=1/4 ×-2
FOLLOW ME ☺️I HOPE IT HELPPLEASE HELP! QUESTION: The area of a room has a length which is 3 feet less than twice its width. Write a function that represents the rooms' area. What is the length for the room if its area is 350ft^2?
Answer:
2w^2-3w, and 25 feet
Step-by-step explanation:
l=2w-3
w(2w-3)
2w^2-3w
2w^2-3w=350
2w^2-3w-350=0
The positive solution is 14 so that's the width. The length is 25 feet
If the probability (p-value) is smaller than 05 (alpha level) then we can conclude that the means are
different and our study is significant.
True
False
Alison has $400 saved and gets $15 per week for her allowance. If she saves
her allowance for the next 6 weeks, and then spends $80 on a scooter, how
much money will she have after the 6 weeks?
Which of the following sets of equations represents this problem?
Answer:
77
Step-by-step explanation:
dont use that
Which is the best estimate 61.4 +88.3
Answer:
149.7
Step-by-step explanation:
Scores on a common final exam are normally distributed with mean 71 and standard deviation 9. Department policy is that the top 10% of students receive an A. The minimum exam score to be awarded an A is about:
Answer:
The minimum exam score to be awarded an A is about 8.52.
Step-by-step explanation:
Let X represent the scores on a common final exam.
It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.
It is provided that according to the department policy is that the top 10% of students receive an A.
That is, P (X > x) = 0.10.
⇒ P (X < x) = 0.90
⇒ P (Z < z) = 0.90
The corresponding z-score is:
z = 1.28
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52[/tex]
Thus, the minimum exam score to be awarded an A is about 8.52.
12/x = 10/12
Solve problem to the nearest tenth
A(n) ________ hypothesis is a statistical hypothesis that is tested for possible rejection under the assumption that it is true. g
Answer: A null hypothesis is a statistical hypothesis that is tested for possible rejection under the assumption that it is true.
Step-by-step explanation:
The null hypothesis[tex](H_0)[/tex] and alternative hypothesis[tex](H_a)[/tex] both are statements as per the researcher's claim that involves population parameter .
Null hypothesis has ≤,≥ ,= signs
Alternative hypotheses has < , > , ≠ signs.
A null hypothesis is a statistical hypothesis that is tested for possible rejection under the assumption that it is true.
I triangle ABC is dilated by a scale factor of 3 with a center of (2.1). what is the location of A?
help 9th grade algebra!!
Answer:
16 gallons
Step-by-step explanation:
195= 12x-3
14.5.31In what direction is the derivative of f(x,y)P(9,2) equal to zero?Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A.uequalsnothing(Simplify your answer. Use a comma to separate answers as needed. Type your answer in terms of i and j.)B.There is no solution.
Answer:
A. u equals nothing.
Step-by-step explanation:
Derivative is a function of real variable. The derivatives derives the price of underlying asset from the fluctuations. The function of x and is represented as dx / dy which is solved as a equation to find the value of asset.
A shirt is discounted by 40%. The discounted prices is $72. What was the original price of the shirt? PLEASE HELP!!
Answer:
120
Step-by-step explanation:
Helpppppp meeee if you know precal
Step-by-step explanation:
LHS= csc^2 θ . tan^2 θ - 1
= (1/Sin^2 θ). (Sin^2 θ / cos^2 θ) - 1
= 1/cos^2 θ - 1
= (1 - cos^2 θ) / cos^2 θ
= sin^2 θ / cos^2 θ
= tan^2 θ
= RHS
Hence proved
Which expression would be easier to simplify if you used the associative property to change the grouping? O A. (27 + 4.5) + 1.5 OB. ++(-) O C. - + [(-) + (-) O D. 14+ (20 + 80)
Answer:
the answer is D
Step-by-step explanation:
Answer:
The answer is D if you look hard enough and think hard enough you will find the answer as well
f(n)=3n-7 find n if n=-4 and n=14
Answer:
f(n)=-19,35
Step-by-step explanation:
lmk if u need one
HELP ME PLZ 10 BRANLY POINTS IF HELPED PLZ. The table shows the first five multiples for the numbers 3 and 6. A 2-column table with 2 rows. Column 1 is labeled Number with entries 3, 6. Column 2 is labeled Multiples with entries (3, 6, 9, 12, 15, ellipsis), (6, 12, 18, 24, 30, ellipsis). The LCM of 3 and 6 is .
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
-3x+y=5
2x + 5y = -43
Need help solving this and writing it as a ordered pair
Answer:
x=-4, y=-7 Ordered pair: (-4, -7)
Step-by-step explanation:
-6x+2y=10
6x+15y=-129
17y=-119
y=-7
-3x-7=5
-3x=12
x=-4
.
Expressions that are used so much that people get tired of hearing them are called:
cliches
idioms
similes
metaphors
Answer:
i would go with cliches cuz i know what all the others are
Step-by-step explanation:
Answer:
cliches
Step-by-step explanation:
1. You plan to drive to a resort that is 399 miles away. Your car presently gets 28 miles per gallon. How many
gallons of gas will it take you to get to the resort?
Answer: 399÷28= 14.25
Step-by-step explanation:
Divide 399 by 28 = 14.25 gal
​(a) The shape of the sampling distribution of the sample mean is approximately normal. Is this true or​ false?
Answer:
Shape of sampling distribution of sample mean being approx normal or not depends upon sample size.
Step-by-step explanation:
'The shape of the sampling distribution of the sample mean is approximately normal' might be true or false, depending on sample size.
If the sample size satisfies the condition of being sufficiently large, the shape of sampling distribution of sample mean becomes more bell shaped normally distributed (even more normally distributed than actual population).
Central Limit theorem also states this - Larger the sample size, shape of sampling distribution of sample mean becomes more normally distributed around population mean.
You have a 2-pound carton of blueberries. You eat 0.2 of the carton on Monday and 0.35 of the carton on Tuesday. How many pounds of blueberries are left?
0.9 pounds of blueberries are left.
Percentage:
The Latin word "per centum," which meaning "by the hundred," was the source of the English word "percentage." Fractions with a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.
What is percentages ?
A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.
Calculation of Percentage:
Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. A percentage can be found in one of two ways:
By using the unitary method.
By changing the denominator of the fraction to 100.
It should be noted that when the denominator is not a factor of 100, the second technique of percentage calculation is not applied. In these situations, we employ the unitary technique.
Based on the given conditions, formulate: 2 x (1- 0.35- 0.2)
Calculate the sum or difference: 2 x ( 0.65 - 0.2)
Calculate the sum or difference: 2 x 0.45
Calculate the product or quotient: 0.9
Learn more about the percentage here:
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Zarika earns the same amount each week by walking her neighbor's dogs. When she started this job, she had $300 in her savings account.
The table shows Zarika's savings account balance for her first month of work.
Week 0 1 2 3 4
Balance $300 $550 $800 $1050 $1300
Let x represent the number of weeks Zarika has been working and let y represent Zarika's account balance.
Which equation, expressed in Slope-Intercept Form, represents the amount of money in Zarika's bank account over time?
y=250x+300
y=300x+250
y=300x−250
y=250x−300
Answer:
y=250x+300
Step-by-step explanation:
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The amount of money in Zarika's bank account over time after x weeks is represented by the equation.
y = 250x + 300
Option A is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 4 is an equation.
We have,
Amount earned each week = same.
Amount in her account = $300.
Number of weeks = x
Amount in the account = y
The equation represents the account balance after x weeks.
Total amount = $300 + Amount earned per week
This can be written as,
y = 250x + 300
Thus,
The amount of money in Zarika's bank account over time after x weeks is represented by the equation.
y = 250x + 300
Option A is the correct answer.
Learn more about equations here:
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Victor runs 3 laps around the track every 5 minutes. Complete the table to show the relationship between the number of laps and time spent running. write your answers in the blanks.
Answer: hopefully this helps
Step-by-step explanation:
In 1 minute Victor runs 3/5 laps and in 6 minutes Victor runs 3.6 laps.
Given that, Victor runs 3 laps around the track every 5 minutes.
What is proportion?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Now, 3/5 = x/1
⇒ x= 3/5 laps
Here, [tex]1\frac{1}{5} =1.2[/tex]
3/5 = 1.2/y
⇒ 3y=6
⇒ y=2 minutes
3/5 = z/6
⇒ 18=5z
⇒ z=18/5
⇒ z=3.6 laps
Therefore, in 1 minute Victor runs 3/5 laps and in 6 minutes Victor runs 3.6 laps.
To learn more about the unitary method visit:
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What's the value of 16-2t=5t+9
Step-by-step explanation:
16-9=5t+2t
7=7t
t=1
The answer is 1
Answer:
t=1
Step-by-step explanation:
16-2t=5t+9
+2t +2t
16=7t+9
-9 -9
7=7t
t=1
PLEASE SAVE MY LIFE!
Answer:
13r/4
Step-by-step explanation:
aha i looked it up xD
The explanation is you have to put the whole number over its self.Then they have to have common denominator.Then add
consider a cubic polynomial function g(x) with solutions x = 3 and x =2 -i. what statement must be true?
x = 3 would be your answer
because i have no clue just thanks and five stars please
Alison has $400 saved and gets $15 per week for her allowance. If she saves
her allowance for the next 6 weeks, and then spends $80 on a scooter, how
much money will she have after the 6 weeks?
Which of the following sets of equations represents this problem?
Answer:
$410
Step-by-step explanation:
15*6=90
90-80=10
400+10=410
$410
what is 4,500 divided by 64 as a decimal ?
