Many states assess skills of their students in various grades. One program that is available for this purpose is the NAEP. One of the tests provided by the NAEP assesses the reading skills of 12th grade students. In a recent year, the national mean score was 288 and the standard deviation was 38. Assuming the scores are approximately normal, give a range of scores that includes 99.7% of these students.
Required:
How high a score is needed to be in the top 25% of students who take this exam (use technology)?
Solution :
Given :
National mean score of the reading test that is conducted the NAEP = 288
Standard deviation of the score = 38
Therefore, P(X > x) = 0.25
P (Z > [tex]$\frac{x-288}{38} $[/tex] = 0.674)
[tex]$\frac{x-288}{38} = 0.674$[/tex]
[tex]$x=288+(38 \times 0.674)$[/tex]
x = 326.67
Therefore, the highest score that is needed for the students to be in the top of 25 percent among the students those who take the exam.
Solve the following for c: 10c + 12 = - 48
Answer:
c = -6
Step-by-step explanation:
10c + 12 = -48
subtract 12 from both sides
10c = -60
divide by 10 on both sides
c = -6
Answer:
C = -6
Step-by-step explanation:
10c + 12 = - 48
-12 -12
10c = -60
/10 /10
c = -6
What are the first four terms of the sequence represented by the expression n(n - 2) -3 ?
-5, -2, 1,4
-4,-3,0,5
-3,0,3,6
-2,0,2,4
Answer:
the first four terms is 3, 0, -3, -6
What is the simplest form of the expression?
✓4502 +502 + 425
Assume all variables are positive.
Answer:
A. [tex] 8x\sqrt{5} [/tex]
Step-by-step explanation:
Given:
[tex] \sqrt{45x^2} + \sqrt{5x^2} + 4x\sqrt{5} [/tex]
Required:
Simplify
[tex] \sqrt{9*5*x^2} + \sqrt{5*x^2} + 4x\sqrt{5} [/tex]
[tex] 3x\sqrt{5} + x\sqrt{5} + 4x\sqrt{5} [/tex]
Add like terms
[tex] 8x\sqrt{5} [/tex]
Can I get some help with question 12? I need to solve it while making a proof. I’ve asked at least 5 tutors for help and none of them know what to do.
Answer:
Step-by-step explanation:
Angle ABD is congruent to angle BDC by alternate interior angles of the parallel sides AB and DC.
Angle GEB is a right angle by given.
Angle DFC is a right angle by given.
The remaining angles for each triangle are congruent by sum of angles of a triangle is 180 degrees.
The two triangles are similar by angle-angle-angle.
describe the graphs of 3x - y = 4 and y = 3x + 2?
Answer:
3X-y=4
3x=4+y
3x-4=y
y=3x-4
Step-by-step explanation:
y=3x+2
y-2=3x
3x=y-2
x=y-2/3
I hope this answer help you
Find the surface area of the square pyramid shown below.
3
4
units
Pls help ASAP if you can
Answer:
Step-by-step explanation:
area of a triangular face = 0.5×4×3 = 6 square units
lateral area = area of 4 triangular faces = 4×6 = 24 square units
base area = 4² = 16 square units
total surface area = lateral area + base area = 24+16 = 40 square units
Answer:
40
Step-by-step explanation:
40
Entry to a certain University is determined by a national test. The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115. Harriet wants to be admitted to this university and she knows that she must score better than at least 75% of the students who took the test. Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in? 2. (2pt) Will Harriet be admitted? Wh
Answer:
She scored in the 90th percentile.
90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115.
This means that [tex]\mu = 725, \sigma = 115[/tex]
She must score better than at least 75% of the students who took the test.
So her z-score should have a pvalue of at least 0.75.
Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in?
We have to find the pvalue of Z when X = 874.5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{874.5 - 725}{115}[/tex]
[tex]Z = 1.3[/tex]
[tex]Z = 1.3[/tex] has a pvalue of 0.9032
She scored in the 90th percentile.
Will Harriet be admitted?
90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.
Simplify the expression 2(10) + 2(x-4)
Answer:
Hello! :) have a good day!
2x + 12
Answer:
First: Multiply the numbers
2 x 10 + 2 (x -4)
20+2(x-4)
Secondly: Distribute
20+2(x-4)=
20 + 2x - 8
Thirdly: Subtract the numbers
20 + 2x - 8=
12 + 2x
Lastly: Rearrange terms
12 + 2x
2x + 12
And that would leave us with our answer 2x + 12!
What is 2/7+7/8
Help
Answer:
65/56 = 1 9/56
Step-by-step explanation:
Answer:
Step-by-step explanation:
16/56 + 49/56 = 65/56= 1 9/56
Angle is comparing the price of each shirts for summer camp at two companies.. Company A charges an initial fee of $50 and $12 per shirt Company B charges and initial fee of $10 and $15 per shirt. Evaluate the expressions 50 + 12x and 10 +15x =40 to find the total cost to print 40 shirts at each company. What is the difference in cost between the companies
Answer:
Company A's cost would be $530
Company B's cost would be $610
difference is $80
Step-by-step explanation:
if 4 shirts and 3 ties cost 241. and 3 shirts and 4 ties cost 200. what is the cost of 1 shirt and 1 tie?
Answer:
cost of 1 tie = 11
cost of 1 shirt = 52
Step-by-step explanation:
y/-2 = -34
giving brain.
Answer:
y=68
Step-by-step explanation:
Answer:
y = 68
Step-by-step explanation:
We have the expression y over -2 = -34 and are asked to solve or y.
To solve, we need to isolate for y :
y/-2 = -34
Multiply -2 from both sides :
[tex]\frac{y}{-2} *-2=-34*-2[/tex]
[tex]y = 68[/tex]
someone please help
What is the slope of the line shown below?
10
A. 3
61 (1,5)
B. 2
Oh
61,-1)
O c. -3
10
15
O D. -2
-102
Answer:
A. 3
Step-by-step explanation:
The formula for slope is (y2-y1)/(x2-x1), for two points (x1,y1) and (x2,y2) on the line.
Our points are (-1,-1) and (1,5):
(5-(-1))/(1-(-1))
6/2
3
The slope of the line shown below is 3.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have,
Points from the graph (1, 5) and (-1,-1).
So, the slope of line
= (-1 - 5)/ (-1 - 1)
= -6 / (-2)
= 3
Thus, the slope of line is 3.
Learn more about Slope here:
https://brainly.com/question/3605446
#SPJ5
round 3 2/3 to the nearest whole number
Answer:
3 2/3 can be converted into proper fraction like this
3*3+2←numerator
3 itself ← denominaor
So, we have 11/3
Nearest to 11/3 will be 4
overnight a pipe cracked and started to leak into a basement. the graph shows the depth of the water in relation to time. how many inches does the water rise each hour?
Answer:
if a water pipe bursts over night depends on the pressure of the water but i will say a foot or more an hour
Step-by-step explanation:
I need help plzzzzzzzzzz
Answer: The perimeter of the triangle is 33b - 8
Step-by-step explanation:
1. Is a triangle with side lengths 6, 4, 3 a right triangle? Why or why
not?
Answer:
no
Step-by-step explanation:
Using the converse of Pythagoras' identity.
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 6 , then 6² = 36
4² + 3² = 16 + 9 = 25
Since 4² + 3² ≠ 6² then triangle is not right.
Pls help me pls pls pls pls pls pls pls pls pls pls pls pls pls ρꪶ 卩ㄥ丂
1+1
Answer:
1+1=2
Step-by-step explanation:
if you have 1 apple and then your friend gave you another apple now you have 2 apples
A woman buys a pair of shoes at a sale. She pays $45, saving $15 on the normal price. The percentage discount on the pair of shoes is
Step-by-step explanation:
this is the answer i hope to get full mark
Simplify: 7^6 divided 7^2
Answer:
The answer is 1/3
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
~Hoped this helped~
If 5 hours is 25% of the time a trip will take, how long will it take?
Answer:
20 hours
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
We know that 25% is 1/4 of the time. So 5 hours would be multiplied by 4, which is the reciprocal of 1/4.
5 x 4 = 20, so that's your answer. I hope I helped :)
solve help
3+ x + 4 =
Answer:
7+x
Step-by-step explanation:
Add 3 and 4
3+4= 7
You can't add x since it's a variable so you just leave it as it is.
Hope this helps!
Identify the sampling technique used. Thirty-five sophomores, 24 juniors and 25 seniors are randomly selected from 388 sophomores, 418 juniors and 573 seniors at a certain high school. systematic random convenience O cluster stratified
Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 46 pounds and standard deviation 3.7 pounds. Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee. (Round your answer to two decimal places.)
Answer:
85.99% of airline passengers incur this fee.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean 46 pounds and standard deviation 3.7 pounds.
This means that [tex]\mu = 46, \sigma = 3.7[/tex]
Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee.
As a proportion, this is 1 subtracted by the pvalue of Z when X = 50. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{50 - 46}{3.7}[/tex]
[tex]Z = 1.08[/tex]
[tex]Z = 1.08[/tex] has a pvalue of 0.8599
0.8599*100% = 85.99%
85.99% of airline passengers incur this fee.
Elena finds that the length of a house on a scale drawing is 5 inches. The actual length of the house is 45 feet. What is the scale of the drawing?
Answer:
81 is the scale of the drawing.
Step-by-step explanation:
-35 = -3x + 8 + 5x
Can someone please help me with this math problem
Answer:
22.5 i think
Step-by-step explanation:
-3x + 8 + 5x = - 35
add like terms
2x + 8 = -35
subtract 8 on both sides
2x = 43
divide by 2
22.5
Answer:
22.5
Step-by-step explanation:
add subtract and multiply on a algebra calcutalor aka mathpapa dowload it and it should help
4 - 2/8 =
what is 4 minus a fraction of 2/8 equal to?
Answer:
= 15/4
Step-by-step explanation:
Mr. Clauson bought boxes of lights to decorate his house for the holidays. He used 998 boxes containing 24 lights per box. How many lights did Mr. Clauson use to decorate his house?
Answer:
23952
Step-by-step explanation:
Answer:
23952
Step-by-step explanation:
so you would multiply 998 by 24 to get the answer
6p² equals to..................
Answer:
36p is the correct answer