Answer:
110
Step-by-step explanation:
5.5 x 20 = 110
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.
The given number line shows the solutions to which inequality?
Answers are
A x+7=<5
Bx+3=>1
Cx-5>2
Dx-1<=
I dont think the answer is b or c
Answer:
the answer is c we just did this in class
help math eeekkkkkkk
Answer:
Step-by-step explanation:
One side of a square has a measurement of 2x + 4. Write an expression to represent the perimeter of the shape.
Answer:
4(2x+4)
for example, if 5 were the length of a side you'd do 4(5). 4 because theres 4 sides and the formula for P is P= l+l+w+w OR P=2l+2w
How many types of congruence criterion are in total.Name them
Answer:
Various types of Congruency are:
1. ASA (Angle Side Angle)
2. SSS (Side Side Side)
3. SAS (Side-Angle-Side)
4. AAS (Angle-Angle-Side)
5. RHS (Right angle-Hypotenuse-Side)
As of what I had learned (class 9) this is all but I am not sure if there are more
Math sucks helppppp pls
Answer:
B
Step-by-step explanation:
Perimeter of the composite shape = ½ of the circumference of a circle + perimeter of a rectangle - Length of the rectangle
= ½*2πr + 2(L + W) - L
Where,
r = 8
π = 3.14
L = 16
W = 12
Perimeter of the composite shape = ½(2*3.14*8) + 2(16 + 12) - 16
= 25.12 + 56 - 16
Perimeter of the composite figure = 65.12 inches
Area of the composite figure = ½(πr²) + L*W
= ½(3.14*8²) + 16*12
= 100.48 + 192
Area = 292.48 square inches
If the ratio of AB:BC is 7:4,
what is the length of AB?
If the ratio of AB:AC is 8:7, what is the length of AC?
PLZ HELP
Answer:
The answer will be :-
2. AB = 31.5 in
3. AC = 5.25 in
No answer text provided.
No answer text provided.
HA < CH
HM > CH
AM = CK
MH < HC
Answer:
HM > CH
Step-by-step explanation:
You are correct, I didn't see the option HM > CH, which is correct, since the angle 90 degrees is larger than the angle 73, and then the sides opposite to them must follow suit.
Therefore, the correct answer is: HM > CH
The true statement from the triangles is (b) HM > CH
How to determine which must be trueFrom the question, we have the following parameters that can be used in our computation:
The figures
Next, we have
Angles at corresponding points = 90 degrees and 73 degrees
Since the angle 90 degrees is larger than the angle 73 degrees, and then the sides opposite to them must also have the same relationship
Using the above as a guide, we have the following:
The true statement is (b) HM > CH
Read more about triangles at
https://brainly.com/question/32215211
#SPJ6
if a trader make a loss of 10% when he sells a watch for 15,300
a what is the cost price
b how much would he gain if he made a profit of 6%
Answer:
A. original price: 16830
B. Profit gain: 918
10%=1530
6%=918
#gamer
I dont understand it
Answer:
30xy
Step-by-step explanation:
I divided this shape into a square and a rectangle.
Solve:
First I multiplied 2x and 3y
2x*3y= 6xy
Then I multiplied 6x and 4y
6x*4y= 24xy
Then I added them together
24xy+6xy= 30xy
Hope this helps!
which choices are equivalent to the quotient below check all that apply √12/√6
Step-by-step explanation:
I don't see any of the choices, but I'll just give you what it's equal to. The expression is equal to: sqrt2, which is approximately 1.414.
what is the value of h
Answer:
h = 5.318 m
Step-by-step explanation:
6.5/11 = h/9
0.5909 = h/9
h = 5.318
Answer:
Height: 5.32
Step-by-step explanation:
Area=29.24
Heron's Formula
se quiere pintar una pared en forma de hexágono regular y se sabe que cada lado mide 3m y que su apotema es de 2,8m cual es el area que se va a pintar?
Answer:
El área total a pintar será:
[tex]A_{tot}=25.2\: m^{2}[/tex]
Step-by-step explanation:
Sabiendo el apotema y la longitu de los lados, podemos encontrar el área de un triangulo. Recordemos que, si trazamos rectas del centro del hexágono a los vértices, se formaran 6 triángulos equiláteros.
El área de un triángulo es:
[tex]A_{t1}=\frac{b*a}{2}[/tex]
b es la longitud de la base (b=3 m)
a es la apotema, osea la altura del triangulo (a = 2.8)
[tex]A_{t1}=\frac{2.8*3}{2}[/tex]
[tex]A_{t1}=4.2\: m^{2}[/tex]
Ahora, solo debemos mutiplicar ese valor por 6 para determianr el área total de la pared.
[tex]A_{tot}=25.2\: m^{2}[/tex]
Espero te haya sido util!
en una casa construida con madera el tejado se sostiene con una estructura triangular en el que se utilizan ángulos complementarios ¿cómo se construye es estructura?¿qué pares de ángulos son congruentes ? ¿cómo se distribuye la carga que soporta?
Answer:
Si me dieras una imagen con esto, podría responderla fácilmente, pero no hay una imagen o modelo para ayudar a disculparme.
Step-by-step explanation:
lo siento, tal vez vuelva a publicarlo con un modelo o una imagen para que pueda ayudar
2 z − 22 facorise fully
Answer:
Factorising fully
then
2z - 22
= 2( z - 11)
Which of the following inequalities does the graph represent
Answer:
di KO kaya sorry kahit ako dipa KO talks dyan
The difference of four times a number and seven is 21. Find the number.
Answer:
7
Step-by-step explanation:
4x-7=21
4x=28
x=7.....
The number is 7.
We have a sentence - "The difference of four times a number and seven is 21".
We have to find the number.
Express the statement - "The difference of 40 and 20 is equal to n" in the form of expression.The expression representing the above statement is -
n = 40 - 20 = 20
According to the question, we have -
The difference of four times a number and seven is 21.
Assume the number be x.
Therefore -
4x - 7 = 21
4x = 28
x = 7
Hence, the number is 7.
To solve more questions on Rearranging expressions, visit the link below-
brainly.com/question/8864600
#SPJ2
Jenny read 12 pages on Monday, 25 pages on Tuesday and
the remaining pages on Wednesday. On average she read
23 pages per day during these three days. How many pages
did she read on Wednesday?
Answer:
32
Step-by-step explanation:
Let Wed pages = x
(12 + 25 + x) / 3 = 23 Multiply both sides by 3
12 + 25 + x = 3 * 23 Combine the right
12 + 25 + x = 69
37 + x = 69 Subtract 37
x = 69 - 37
x = 32
32 pages were read on Wed
which equation is equivalent to
y + 2(x + 5) = 4x + 5
a) y = 2x + 20
b) y = -4x + 5
c) y = 2x - 5
d) y = 5x + 2
Answer:
C
Step-by-step explanation:
y + 2x + 10 = 4x + 5
y = 4x - 2x + 5 - 10
y = 2x - 5
Answer- C
I WILL GIVE BRAINLIEST-- Sophia is paying for a meal which costs $35. She has a coupon for a 20% discount. After the discount, sales tax is added at a rate of 8%. How much does Sophia need to pay for this meal? Explain how you got your answer
Write the multiples for the
odd numbers between 1 and 10.
Answer:
3, 6, 9
Step-by-step explanation:
Martha's bakery started with 200 cupcakes in the morning. After a busy afternoon there were only 60 cupcakes left. By what percent did the cupcake inventory drop?
Answer: 70%
Step-by-step explanation:
Martha's bakery started with 200 cupcakes in the morning and after a busy afternoon there were only 60 cupcakes left, this means that 200 - 60 = 140 cupcakes were sold.
The percentage drop will be:
= 140/200 × 100
= 70%
Kevin is designing a cover for a comic book. He wants to have a rectangular grid with x ^ 2 - 3x - 10 squares in it, for some positive whole number x. What are the possible side lengths for the grid?
A. There are no possible whole number side lengths.
B. (x + 2) and (x - 5)
C. (x - 2) and (x + 5)
D. (x + 2) and (x + 5)
Answer:
(X+2) and (x-5)
Step-by-step explanation:
5 divided by 3670 equals
Answer:
.0013623978
Step-by-step explanation:
Nine years ago, Tarah opened a savings account with her bank. She started with a balance of $450 and has not made any withdrawals or deposits since then.
If her interest rate is 7% each year, how much interest has accrued using simple interest?
Answer:
Step-by-step explanation:
The interest accrued is $258.48.
Step-by-step explanation:
Given that:
Initial balance in the savings account = $359
Interest rate = 8%
Time for which no withdrawals or deposits were done = 9 years
To find:
Simple Interest accrued = ?
Solution:
First of all, let us have a look at the formula for simple interest.
Where P is the Principal Amount.
R is the annual rate of interest
T is the time in years.
Here, we are given:
P = $359
R = 8%
T = 9 years
Let us put all the values in the formula:
So, the interest accrued is $258.48.
Plz help me I’m stuck
Answer:
$10.50
Step-by-step explanation:
15% of 70 = $10.50
Hope that helps! (Can you give me a brainliest please? It's ok if you don't!)
Answer: $10
Step-by-step explanation:
15%= 0.15
67.37×0.15= 10.1055 ≈ $10 when rounded to the nearest ten.
help me pls I would really appreciate it
Answer:
A (-3,-3)
B (-4,1)
C (-1,0)
Step-by-step explanation:
Change 5 into a rational number a/b
Answer:
[tex]\frac{5}{1}[/tex]
Step-by-step explanation:
Write 45.21% as a decimal
Answer:
.4521
Step-by-step explanation:
when converting a percentage to a decimal you have to move the decimal point over two times to the left. do if you have 100% you moved the decimal point over two and get 1.00
Answer:
0.4521
Step-by-step explanation:
Instead, you can simply multiply a number by 45.21 as a decimal to get the answer.
45.21 percent means 45.21 per hundred. Therefore, to get 45.21 as a decimal, all you have to do is divide 45.21 by 100 like so:
45.21 ÷ 100 = 0.4521
Shortcut: When you divide anything by 100, just move the decimal point two places to the left.
Normally, to calculate 45.21 percent, you would multiply a number by 45.21 percent and then you would take the product of that and divide it by 100 to get the answer.
(hope this helps can i plz have brainlist :D hehe)
Someone please help♀️
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10
-10
(0,0)
(10,-2)
10
Rest of the options are
D.y=- 1/5x
E. Y=5x
F.y=x
Answer:
D. y=-1/5(x)
Step-by-step explanation:
To find the equation of a line, use the formula y=mx+b, where x and y represent your x and y coordinates, m is your slope and b is your y-intercept.
b is you y-intercept, this is where the line cuts the y-axis. We can see from the graph that the line cuts the y-axis at (0,0), so c=0.
Now we have y=mx
Sub in one of our points (10,-2):
-2=m10
m=-1/5
So our equation looks like this:
y=-1/5(x)