Answer:
a) 25% of the students exam scores fall below 55.6.
b) The minimum score for an A is 84.68.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 61 and a standard deviation of 8.
This means that [tex]\mu = 61, \sigma = 8[/tex]
(a) What score do 25% of the students exam scores fall below?
Below the 25th percentile, which is X when Z has a p-value of 0.25, that is, X when Z = -0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 61}{8}[/tex]
[tex]X - 61 = -0.675*8[/tex]
[tex]X = 55.6[/tex]
25% of the students exam scores fall below 55.6.
(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?
This is the 100 - 0.15 = 99.85th percentile, which is X when Z has a p-value of 0.9985. So X when Z = 2.96.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.96 = \frac{X - 61}{8}[/tex]
[tex]X - 61 = 2.96*8[/tex]
[tex]X = 84.68[/tex]
The minimum score for an A is 84.68.
pls help!
how many faces does it have?
Answer:
6
Step-by-step explanation:
I just learned this!! :)
Answer:
it has 6 faces
Step-by-step explanation:
The center of a circle is located at (2, -1). A point on the circle is located at (-3,-1). What is the approximate circumference of the circle?
A16 units
B31 units
C79 units
D100 units
Answer:
您同性恋
Step-by-step explanation:
Pls help with the circle area and perimeter
Answer:
circumference = 40.82 m
area = 132.67 m²
Step-by-step explanation:
circumference = diameter x π = 13 x 3.14 = 40.82 m
radius = diameter/2 = 13/2 = 6.5
area = πr² = )3.14)(6.5²) = 132.67 m²
What is 25% of 50= please help
Answer:
answer 12.5
Step-by-step explanation:
25% of 50 is 12.5 because 50 ÷ 4 = 12.5 Hope that helps!
solve and graph: 7x-6>22
(pls explain your answer, im confused on this)
Answer:
x>4
Step-by-step explanation:
Solving an inequality is very similar to solving an equation:
Given: 7x-6>22
Add 6 to both sides: 7x>28
Divide both side by 7: x>4
x>4 means that all x-values that are greater than 4 will work. Therefore you would write an open dot at x=4 on the number line to show that 4 isn't included, and draw an arrow going right to show all possible solutions greater than 4.
what are two factors of 24 that add to be 10? separate each factor by a comma
Carlos started an exercise program in
January. He kept a record of how many
sit-ups he did each day.
Which correlation value best describes
the data?
Your answer:
O r=-0.9
O r=-0.5
O r= 0
O r=0.5
r = 0.9
Choose All the numbers that round down when rounding to the nearest hundred
Answer:
3,140, 47,035
Step-by-step explanation:
I would really appreciate if any of you guys can help me on this please and thank you !!
Answer:
1.
a = 1 b = 3 c = 11
2.
a = 1 b = -7 c = -11
3.
a = 1 b = 4 c = -9
4.
a = 3 b = -1 c = 16
5.
a = 1 b = 0 c = -9
6.
a = 2 b = 5 c = 0
7.
a = -4 b = 0 c = -3
8.
a = 6 b = 0 c = 0
9.
a = -1 b = 1 c = 0
Hope this helps took me a long time to type
b3 + y when
b = 3 and y = 4.5
Answer:
31.5
explanation if you need it -
b3 + y
when b = 3 and y= 4.5
b x b x b + y
1, substitute the values
3x3x3 + 4.5
27+ 4.5
31.5
9 - (4/9+1/3)
Write and solve a word problem for the expression
Answer:
9 pizzas total were bought for a party. Maya ate 1/3 of a pizza. John ate 4/9 of the same pizza. How much pizza is left?
Answer: 74/9 or 8.2
Step-by-step explanation:
first add 4/9 and 1/3 since it's in parenthesis
4/9+1/3
they need to have the same denominator, use the LCM (which is 9)
multiply 1/3 by 3 to achieve the LCM
4/9+3/9
add together numerators
7/9
subtract 7/9 from 9
9/1-7/9
get 9 to achieve the LCM (which is 9 again)
multiply 9/1 by 9
81/9 minus 7/9= 74/9
solution of f'(x) = 9x2+2x (-2,2)
Answer:
f(x) = 3x³ + x² + 22
Step-by-step explanation:
Given
f'(x) = 9x²+2x
To get f(x), we will be integrating the function
f(x) = 9x³/3 + 2x²/2 + C
f(x) = 3x³ + x² + C
at (-2,2)
2 = 3(-2)³ +(-2)² + C
2 = -24 + 4 + C
2 = -20 + C
C = 2+20
C = 22
Get the required function
f(x) = 3x³ + x² + C
f(x) = 3x³ + x² + 22
Marsha deposited $5,000 into a savings account 2 years ago. The simple interest rate is 3%. How much money did Marsha earn in interest?
Answer:
$300
Step-by-step explanation:
(5000)(2)(3/100)
=300
Graph the function f(x) = 2x − 4. Click the intercepts to show the coordinates.
y-intercept: (0, -4)
x-intercept: (0, 2)
Sorry if this wasn't what you were asking for, I'm not sure if I understood your question correctly. I don't know if you asking just to graph it or if you were asking for the x and y intercepts too, along with the graph. Either way, hope this helped!
Triangle DEF with vértices D(2,1), E(3,5), F(6,2) is reflected acreage the x-axis to make triangle D’E’F
Which rule represents the transformation?
A. (x,y)—>( x,-y)
B. (x,y)—>(-x,y)
C. (x,y)—>(y,-x)
D. (x,y)—>(-y,x)
(Pls help I don’t understand)
hey guys may you help me with these questions 1 2 and 3
thank you
Answer:
1a. [tex]\frac{3}{4}[/tex]
1b. [tex]\frac{7}{10}[/tex]
1c. [tex]\frac{3}{10}[/tex]
1d. [tex]\frac{1}{3}[/tex]
2a. [tex]\frac{3}{4}[/tex]
2b. [tex]\frac{1}{5}[/tex]
2c. [tex]\frac{3}{10}[/tex]
2d. [tex]\frac{9}{10}[/tex]
2e. [tex]\frac{1}{20}[/tex]
3. [tex]\frac{1}{8}[/tex]
In most residence, the largest bedroom is considered the Masters Bedroom. Which bedroom would be considered the Masters Bedroom based on area? * bed room 2 bedroom 1
Answer:
Bedroom 2 will be considered as the Master bedroom.
Step-by-step explanation:
Area of bedroom 1 = Area of room 1 - Area of the closet 1
Area of the room 1 = Length × Width
= (2.5 + 1.4) × (4.3+0.6)
= 3.9 × 4.9
= 19.11 m²
Area of closet 1 = 1.5 × 0.6
= 0.90 m²
Area of bedroom 1 = 19.11 - 0.90
= 18.21 m²
Area of bedroom 2 = Area of room 2 - (Area of bathroom + Area of Hall)
Area of room 2 = (3 + 3.1) × (2.5 + 2.4)
= 6.1 × 4.9
= 29.89 m²
Area of bathroom = 3 × 2.5
= 7.5 m²
Area of Hall = 1.2 × 2.4
= 2.88 m²
Area of bedroom 2 = 29.89 - (7.5 + 2.88)
= 29.89 - 10.38
= 19.51 m²
Since, area of bedroom 2 is greater than bedroom 1.
Therefore, Bedroom 2 will be considered as the Master bedroom.
Which of the shapes below is a type of quadrilateral? Select all that apply.
A) circle
B) rhombus
C) parallelogram
D) trapezoid
what are the equations and domain/range of each line?
15,30 is the answer to thois promblem
Help #5-8 easy work thank you
Answer:
I got you
Step-by-step explanation:
9/10
1/3
3/4
1/2
This table goes through the pairs(51,-65) and (68,-78).What is the yintercept of the line?
Answer:
I think the y intercept is (0,-26)
Step-by-step explanation:
Answer:
(0, -26)Step-by-step explanation:
Find the slope:
m = (-78 + 65)/(68 - 51) = -13 / 17Use point-slope form to find the equation of the line:
y - (-65) = -13/17(x - 51)y = -13/17x + 39 - 65y = -13/17x - 26The y-intercept is - 26
How many 1/16 of an inch is in 1 5/8 inch?
Answer:hei svaret på spørsmålet ditt er c sorry for å kaste bort spørsmålet ditt. Jeg trenger bare poeng jeg er så lei meg
Step-by-step explanation:
A camcorder costing 150 has a markup rate of 35% . Find the markup.
F = 9/5C + 32 solve for f
Answer:
substitute the value for C
Step-by-step explanation:
with that you'd be able to solve for x
Sisters Sharon and Karen enjoy sleeping. Let X represent the number of hours Sharon sleeps each night, and let Y represent the number of hours Karen sleeps each night. The mean of X is 7.9, and the mean of Y is 8.4. Which answer choice correctly calculates and interprets the mean of the sum, S = X + Y?
Mu Subscript s Baseline = 0.5; the mean amount of sleep Sharon and Karen get is 0.5 hours nightly.
Mu Subscript s Baseline = 8.15; the mean amount of sleep Sharon and Karen get is 8.15 hours nightly.
Mu Subscript s Baseline = 8.15; Sharon and Karen can expect to sleep a total of 8.15 hours, on average, nightly.
Mu Subscript s Baseline = 16.3; Sharon and Karen can expect to sleep a total of 16.3 hours, on average, nightly.
Answer: D
Step-by-step explanation: right on edge :)
[tex]\mu_S[/tex] = 8.15, the mean hours of sleep Sharon and Karen get is 8.15 hours nightly.
What are mean, median, and mode?The three main methods for identifying the average value of a set of integers are mean, median, and mode.
Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.
The middle value in a list that is arranged from smallest to greatest is called the median.
The value that appears the most frequently on the list is the mode.
Given, Two persons 'X' and 'Y' has mean sleeping hours of 7.9 and 8.4.
Therefore, The mean sleeping hours of both combined is (X + Y)/2 which is,
= (7.9 + 8.4)/2.
= 16.3/2.
= 8.15 hours.
learn more about mean, median, and mode here :
https://brainly.com/question/15323584
#SPJ2
Convert. 19 ft = yd ft
Answer:
19 ft = 19/3 yd
Step-by-step explanation:
If 3 ft = 1 yd, then 19 ft = 1 yd * 19/3 ft = 19/3 yd
carsonkratsas can u help meh
Answer:
This might help and hopefully it clears ur doubts:
Step-by-step explanation:
HELP PLS
In the function n = p(m), the __________ is all the possible values of m, and the __________ is all the possible values of n
Answer:
420
Step-by-step explanation:
420 69
(14 ÷ 2) x 5 + 6
{ 3 x (4 + 1) } ÷ 5
EXPLAIN GIVING BRAINLIEST
Answer:
25
Step-by-step explanation:
(14÷2)×5+6(3×(4+1))÷5
using BODMAS
7×5+6(3×5)÷5
=7×5+6×15÷5
=35+90÷5
=125÷5
=25
Answer:
1. (14 ÷ 2) x 5 + 6 = 41
2. {3 x (4 + 1)} ÷ 5 = 3
Step-by-step explanation:
PEMDAS. VERY IMPORTANT. THIS ACRONYM WILL HELP YOU WHEN SOLVING MULTI-STEP PROBLEMS. IF YOU DO NOT KNOW IT, SEARCH IT UP. I'LL BE USING PART OF THIS ACRONYM TO SOLVE THIS PROBLEM.
First you solve things in paratheses:
1. (14 ÷ 2) x 5 + 6 -> (7) x 5 + 6
2. {3 x (4 + 1)} ÷ 5 -> {3 x 5} ÷ 5 -> 15 ÷ 5
Then, you multiply or divide next:
1. (7) x 5 + 6 -> 35 + 6
2. 15 ÷ 5 = 3
We already have the answer to number 2, but not number one, so we will keep going. Finally, you subtract or add:
1. 35 + 6 = 41
Now you have your answers. Hope this helps!
Find the inverse of f(x) = -3x.
The inverse is
g(x) =
Graph the function and its inverse