Answer:
The top 20% of the students will score at least 2.1 points above the mean.
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 mean of a certain test is 14 and the standard deviation is 2.5.
This means that [tex]\mu = 14, \sigma = 2.5[/tex]
The top 20% of the students will score how many points above the mean
Their score is the 100 - 20 = 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84.
Their score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.84 = \frac{X - 14}{2.5}[/tex]
[tex]X - 14 = 0.84*2.5[/tex]
[tex]X = 16.1[/tex]
16.1 - 14 = 2.1
The top 20% of the students will score at least 2.1 points above the mean.
Joann can run the first 50 meters of the 200-meter race in 6.3 seconds. If she can maintain the same speed for the whole rece, how many seconds will it take for Joann to finish the race?
Answer:
Step-by-step explanation:
shes fastr
Can you help me solve this on plzz
Answer:
don't know what to help you with you are smart enough to know
twice the sum of a number and six is sixty
Answer:26
Step-by-step explanation:60 minus 6, equals 52. you need to do 60-6 to get the twice the sum of a number. divide 52 by 2, since its twice the sum of a number. 52 divided by 2 is 26. you can check your answer by doing 26 times 2 plus 6, and get 60.
24 students took in a class took an algebra test. If 18/students passed the test, what percent passed?
Answer:
75%
Step-by-step explanation:
18 divided by 24 equals 0.75 and then you multiply that by 100 and you get 75 so its 75%
Which of the following is a radical equation?
X+5 - 12
x2 = 16
3+xV7-13
7x = 14
Answer:
3+x sqrt 7 -13 is a radical equation.
The value of radical equation is,
⇒ 7√x = 14
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
All the equations are,
⇒ x +√5 = 12
⇒ x² = 16
⇒ 3 + x√7 = 13
⇒ 7√x = 14
Since, A radical equation is an equation with at least one variable put on a radical form.
In this question, there is only one kind of variable which is x.
Then, you need to find the equation where x is in the radical form.
Hence, The radical form can be expressed with square root symbol.
Therefore, The option with √x would be only,
⇒ 7√x = 14
Thus, The value of radical equation is,
⇒ 7√x = 14
Learn more about the mathematical expression visit:
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A billiard ball bounces off the sides of a rectangular billiards table in such a way that 1= 23,
24 = 26, and Z3 and 24 are complementary. If m_1 = 27°, find the measure of all the other angles.
1
3
2
m/2 = =
4
m23 =
5
6
m24 =
m25 =
m26 =
What is the surface area of the solid...
Answer:
340 Square inches
Step-by-step explanation:
PLEASE HELP IDHD >~<
Answer:
multiply the height and width of each side to get the area
Sarah's favorite candy consists of sour patch kids and M&Ms. She has 17 total packages of sour patch kids and M&Ms. She has 5 more packages of sour patch kids than M&Ms. How many packages of each Candy does Sarah have?
Answer:
Sarah has 11 packages of sour patch kids and 6 packages of M&Ms
Step-by-step explanation:
11 + 6 = 17, and 11 is five more than 6, fulfilling the needs of the problem
Answer:
Sarah has 11 packages of sour patch kids and 6 packages of M&Ms
Step-by-step explanation:
11 + 6 = 17, and 11 is five more than 6, fulfilling the needs of the problem
hope this helps
Evaluate the equation. 193b = 212.3
Answer:
b= 1.1
Step-by-step explanation:
193b= 212.3
divide both sides by 193 to isolate b
212.3÷193=1.1
Answer:
b=1 .1
Step-by-step explanation:
Please best awnswer gets brainliest
Answer: he was a stranger or a hunter
Step-by-step explanation: I think this because it says that they covered him with their muskets and muskets are obviously kind of gun, so it had to be a stranger or hunter. hope this helped if not sorry
help me pls pls pls
D (pause)
the answer is D
the last oneee
X an y are proportional. What is the missing value in the table
Answer:
X+y
Step-by-step explanation:
Michael works 30 hours per week and makes $15.00 per hour. How much does he make in a 4-week month?
Answer:
$1,800
Step-by-step explanation:
If Michael works 30 hours a week for $15 an hour we can use the equation:
15 x 30 = 450.
Now just multiply the given answer by 4 and you're left with:
450 x 4 = 1800.
Last week you worked 12 hours, and earned $132.
What is your hourly pay rate?
Answer:
11 hours
Step-by-step explanation:
132/12=11
1. Daniel rolls a 6-sided number cube 36 times. How many times should he expect to roll a 4?
A 9
B 4
C 6
D 10
Henry buys a softball for $16 plus a 9% tax. Ella buys a pair of shoes for $17 plus a 9% tax. Enter the difference in the amount
Henry and Ella paid, including tax. Round your answer to the nearest cent.
Answer:
The different of the tax was 0.09 cents
Step-by-step explanation:
1. Find how much the tax was
Henry = (16/100) (9) = (0.16) (9) = $1.44
Ella = (17/100) (9) = (0.17) (9) = $1.53
2. Subtract the taxes
1.53 - 1.44 = 0.09 cent
What is the volume?
1 mm
1 mm
1 m
Answer:
volume equals length times width times height
Step-by-step explanation:
8a+5b+3abc when a = 1, b= 2 and c= 3
Answer:
8*1+5*2+3*1*2*3
8+10+18
36 is the answer
I need help please. Show your steps
Answer:
i dont know how anyone could answer this lol you're f u ck ed
Step-by-step explanation:
anthony got a new video game last week and has been playing against his dad . in their game, anthony has won 3 times as often as his dad. if anthony has won 6 games , how many game have they played
Answer:
2 games
Step-by-step explanation:
6/3 = 2
Answer:
8
Step-by-step explanation:
how do you expand (8+x) (9+x)
Answer:
x²+17x+72
Have a great day :)
-6x-10=2 what is x?REMEMBER 6 IS NEGATIVE
Mr. Kershner is a school nurse. He uses, on average, 24 self-adhesive bandages during each spring month: March, April, and May. He also knows that in June there are several field days and he will need 4 times the number of bandages for that month.
If the bandages cost 3 cents each, what is his total cost for March through June?
If the bandages cost 3 cents each, Mr. Kershner's total cost for bandages from March through June is $5.04.
What is an arithmetic operation?
Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.
The number of bandages used by Mr. Kershner in March, April, and May is 24 bandages each month, for a total of 24 x 3 = 72 bandages for those three months.
In June, he will need four times as many bandages as in the other months, for a total of 4 x 24 = 96 bandages.
The total number of bandages used from March through June is 72 + 96 = 168 bandages.
The cost of each bandage is 3 cents, so the total cost for 168 bandages is 168 x 3 = 504 cents, or $5.04.
Therefore, Mr. Kershner's total cost for bandages from March through June is $5.04.
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What is the slope of a line perpendicular to the line whose equation is: -2x+y=-7?
Please help me i don’t have much time left please
The fractions and decimals in order from least to greatest 7/48 0.5 0.75 9/16
Answer:
7/48,0.5,9/16,0.75
Step-by-step explanation:
Hope this helps
Help please! Thank you!!
Answer:
alternate exterior angle is answer
Answer:
Angle 2 and angle 8 are alternative exterior angles
from the set 1/2/3/4/5 which values make the inequality n + 1 > true?
Hi there!
To make n+1>4 true, you must have n be a numebr greater than 3...
The reason why is because if it is less than 3 or 3, it’ll have to be <.
The two numbers that can make this equation true is 4 and 5...
[tex]4+1=5>4[/tex]
[tex]5+1=6>4[/tex]
And if it is 1,2, and 3 it would be:
[tex]1+1=2<4[/tex]
[tex]2+1=3<4[/tex]
[tex]3+1=4=4[/tex]
the value of a certain car after r years is modeled by the expression 150000.7t. What are the initial cost, I, and the rate of deprecation, r, of this car?
Answer:
74037.7t
Step-by-step explanation: