The table below shows the scores on a math test. David 75 Aaron 75 Ashley 60 Gina 75 Andrew 75 Kei 95 Monica 100 Anna 60 Lucas 75 Jennifer 65 The number of standard deviations between a score and the mean score is indicated by a z-score. What was Ashley's z-score on the math test?
a. 1.1
c. -1.1
b. 60
d. -15.5
Answer: c
Step-by-step explanation: good luck everyone
Ashley's z-score for the given table is -1.2.
What is z-score?''A z-score describes the position of a raw score in terms of its distance from the mean, when measured in standard deviation units. The z-score is positive if the value lies above the mean, and negative if it lies below the mean.''
From the given table, we can calculate the mean, median, mode and standard deviation.
Therefore, mean = (75 + 60 + 75 + 100 + 75 + 75 + 75 + 95 + 60 + 65) ÷ 10
= 75.5
Median = middle term when scores are arranged in ascending order
= middle term of {60, 60, 65, 75, 75, 75, 75, 75, 95, 100}
= 75
Mode = number that occurs highest in {60, 60, 65, 75, 75, 75, 75, 75, 95, 100} = 75.
Standard deviation = [tex][\sqrt{(x_1-x)^{2}+(x_2-x)^{2}+........+(x_n-x)^{2}]/n[/tex]
= [tex][\sqrt{(75-75.5)^{2}+(60-75.5)^{2}+........+(65-75.5)^{2}]/10[/tex]
= [tex]\sqrt{157.25}[/tex]
=12.54
Therefore, Ashley's Z-score = (Ashley's score - Mean)/ Standard Deviation
= (60 - 75.5)/12.54 = -1.2
Learn more about z-score here: https://brainly.com/question/17756962
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can someone help, please! also i'm giving brainliest
2 = Distributive Property (you are distributing the -5 to the x and the -6)
1 = Given (its the original equation)
3 = Addition Property of Equality (you add 5x to both sides)
4 = Division Property of Equality (you divide both sides by 15)
Mary bought these art supplies: 4 paint brushes at $1.29 each, 6 dowel rods at $1.49 each, a jar of paste at $1.25, and 2 canvases at $6.00 each. How much change did she get from $40?
A. $8.25
B. $9.35
C. $10.45
D. $12.65
I'll give brainliest!
Answer: The answer is D.
Step-by-step explanation:
Multiply the art supplies with their assigned prices, then combine like terms.
What are the two variables in the graph?
Answer:
i think that you like follow how and what to do
Step-by-step explanation:
Use the distributive property to remove the parentheses.
-2(-5x – 4y+1)
doing a test !! answer quick!?
Answer:
10x + 8y - 2
Step-by-step explanation:
[tex]-2(-5x – 4y+1) \\ \\ = ( - 2)( - 5x) - 2 ( - 4y) - 2 \times 1 \\ \\ = 10x + 8y - 2[/tex]
Please help I’ll give you guys brainiest!
Thank youuuuuuu :))!!!!!!!!!! !!!!!!!!!
Answer:
yes
yes
no
no
no
Step-by-step explanation:
I dont know the answer please help
Answer:
the answer is E because the shape is still in the same directions, so it wasn't reflected it was just translated
Step-by-step explanation:
What is the equation of the line through (-2,5) and (0,3)?
A. y=-x+3
B. y= x-3
C. y=-x-3
D. y=x+3
Answer:
A. y= -x + 3
Hope this helps!
HI my name is summer im a F my email is summerander12 is yall what to ch at you dont have to i really dont care
Answer:
yes
Step-by-step explanation:
ok thus is a help for help tho
Given g(x)=4-2(3-x), what is the value of g(1)
Answer:
g(1) = 0
Step-by-step explanation:
To evaluate g(1) , substitute x = 1 into g(x), that is
g(1) = 4 - 2(3 - 1)
= 4 - 2(2)
= 4 - 4
= 0
Answer: its 0
Step-by-step explanation:
Find the slope of the line that passes through (4,2) and (9,1)?
Answer: m= -1/5
Step-by-step explanation:
Find the Slope (4, 2) and (9, 1)
Slope is equal to the change in y over the change in x, or rise over run.
change in y
m = _________
change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise). y₂ − y₁
m = _____
x₂ − x₁
Substitute in the values of x and y into the equation to find the slope.
1 − (2)
m = _____
9 − (4)
Simplify the numerator.
−1
m = _____
9 − (4)
Simplify the denominator.
−1
m = _____
5
Move the negative in front of the fraction.
−1
m = _____
− 5
Answer:
The slope of the line is [tex]\displaystyle -\frac{1}{5}[/tex].
Step-by-step explanation:
We are given two coordinate points:
[tex](4, 2)[/tex][tex](9, 1)[/tex]We are asked to find the slope of the line.
We can use the rise-over-run formula to solve for the slope of the line.
[tex]\displaystyle \text{slope} = \frac{\text{rise}}{\text{run}}\\\\\text{slope} = \frac{y_2-y_1}{x_2-x_1}[/tex]
However, we firstly need to name our coordinate points.
In math, we can label our coordinates using the following label system:
[tex](x_1, y_1), (x_2, y_2)[/tex]
Therefore, we can also label our coordinates as such:
[tex]x_1 = 4[/tex][tex]y_1 = 2[/tex][tex]x_2 = 9[/tex][tex]y_2 = 1[/tex]Now, we can supply these values into the formula and solve for our slope, or a better known variable, m.
[tex]\displaystyle m = \frac{1 - 2}{9 - 4}\\\\m = \frac{-1}{5}\\\\m = -\frac{1}{5}[/tex]
Therefore, our slope is [tex]\displaystyle -\frac{1}{5}[/tex].
What are the differences between the graphs of y = 2x and y = 2
Answer:
Y=2x has a slope of 2, y=2 has a slope of 0
Step-by-step explanation:
Julie has two bags of grapes. One weighs 5/8 pound and the ther weighs 1/4 pound. What is the difference in the two bags of grapes?
Answer:
one bag is heavier and the other is lighter.
Step-by-step explanation:
5/8 = more than half a pound
1/4 = less than half a pound
Answer:
3/8
Step-by-step explanation:
You have to make 1/4's denominator match the denominator of 5/8.
By multiplying it by 2.
1/4 =2/8
You then subtract 2/8 into 5/8 to get 3/8
Help ASAP!!! It’s 6th grade work
The ratio of solid beads to clear beads in a vase is 820. Select all the correct statements that tell if the operations will give an equivalent ratio.
A) Add 2 solid and 2 clear beads.
B) Subtract 8 solid and 6 clear beads.
C) Multiply the number of solid and clear beads by 2.
D) Divide the number of solid and clear beads by 4.
E) Multiply the number of solid and clear beads by 18.
Answer:
C, D and E
Step-by-step explanation:
Given
Represent solid beads with S and clear beads with C
So:
[tex]S:C = 8:20[/tex]
Required
Select operations that give an equivalent ratio
First, we need to get the unit ratio
[tex]S:C = 8:20[/tex]
Divide through by 4
[tex]S:C = 2:5[/tex] -- This means that, after any operation. The equivalent ratio must be 2: 5
Option A: Add 2 to S and 2 to C
[tex]S:C = 8:20[/tex]
Perform the operation
[tex]S:C = 8 + 2 : 20 + 2[/tex]
[tex]S:C = 10 : 22[/tex]
Divide through by 2
[tex]S:C = 5:11[/tex]
Option B: Subtract 8 from S and 6 from C
[tex]S:C = 8:20[/tex]
Perform the operation
[tex]S:C = 8 - 8 : 20 - 6[/tex]
[tex]S:C = 0 : 14[/tex]
Option C: Multiply S and C by 2
[tex]S:C = 8:20[/tex]
Perform the operation
[tex]S:C = 8*2:20*2[/tex]
[tex]S:C = 16:40[/tex]
Divide through by 8
[tex]S:C = 2:5[/tex]
Option D: Divide S and C by 4
[tex]S:C = 8:20[/tex]
Perform the operation
[tex]S:C = 8/2:20/4[/tex]
[tex]S:C = 2:5[/tex]
Option E: Multiply S and C by 18
[tex]S:C = 8:20[/tex]
Perform the operation
[tex]S:C = 8*18:20*18[/tex]
[tex]S:C = 144:360[/tex]
Divide through by 72
[tex]S:C = 144/72:360/72[/tex]
[tex]S:C = 2:5[/tex]
From the calculations above, options C, D and E gave an equivalent of 2:5.
The cost of one pound of bananas is greater than $0.41 and less than $0.50. Sarah pays $3.40 for x pounds of bananas. Which inequality represents the range of possible pounds purchased? 0.41 < 0.41 less than StartFraction 3.40 over x EndFraction less than 0.50. < 0.50 0.41 < 0.41 less than StartFraction x over 3.40 EndFraction less than 0.50. < 0.50 0.41 < 3.40x < 0.50 0.41 < 3.40 + x < 0.50
Answer:
0.41 x < 3.40 < 0.50 x
If there is a whole number of pounds it could be: x = 8 pounds
0.41 * 8 = 3.28, 0.50 * 8 = 4
3.28 < 3.40 < 4
Answer:
Inequality is
0.41 x < 3.40 < 0.50 x
Step-by-step explanation:
lowest common multiple of 90 and 63
Answer:
630
Step-by-step explanation:
hope this helps btw can i have brainliest?
Answer:
630
Step-by-step explanation:
Step-by-step on how to solve it is in the image below.
Hope this help! :)
Sylvia bikes home along a straight road from her friend's house, a distance of 8 miles,
The graph shows her journey
Answer:
what is the question and what is the graph
Step-by-step explanation:
remake of steps to graph a line, if equation is 2x+4y=8
Answer: slope is -1/2 y intercept is (0,2)
Step-by-step explanation: How I Got This Was Using The Slope Formula Y = mx + b to find slope then graphed by using those two points
PLS HELP!!
What is the volume of a cone with a radius of 5 inches and a height of 12 inches? (Use 3.14 for .)
942 cubic inches
314 cubic inches
376.8 cubic inches
125.6 cubic inches
Answer:
The height of the cone-shaped cup is 6 inches and the diameter at the top is 3 inches. ... To find the volume of the cone, you use a formula similar to that of a pyramid, ... \begin{align*}V & = \frac{1}{3} \pi r^2 h \\ V & = \frac{1}{3} (3.14)(5^2 )(7) ... The answer is the volume of the cone is 183.16 cubic inches.
Step-by-step explanation:
i think thats it it was right on gogle
If my current slope is 7 what is the perpendicular slope?
A- -7
B-7
C- -1/7
D- 1/7
Answer
-7
Step-by-step explanation:
opposite of 7
Find the area, in square units, of ️ABC
Answer:
52 square units
Step-by-step explanation:
For this you need the length of CB and the length of DA.
|CB| = √(10²+2²) = 2√26
|DA| = √(10²+2²) = 2√26
area of ABC = base · height / 2 = 2√26 · 2√26 / 2 = 52
Whitney's Ice Creamery sold 67 sundaes last week. There were nuts on 41 of the sundaes. What is the ratio of the number of sundaes without nuts to the total number of sundaes?
All of the angles of Triangle ABC measure 60 o. AB = 3x – 4, BC = 4x – 12 and CA = 5x – 20.
Solve for x and find the length of AB.
Answer:
The length of AB is 20 units
Step-by-step explanation:
The equilateral triangle is the triangle that has 3 equal sides and 3 equal angles, the measure of each angle is 60°
∵ All of the angles of triangle ABC measure 60 °
→ By using the fact above
∴ Triangle ABC is an equilateral triangle
→ That means its 3 sides are equal
∴ AB = BC = CA
∵ AB = 3x - 4
∵ BC = 4x - 12
∵ CA = 5x - 20
→ Equate 2 of them to find x
∵ BC = CA
∴ 5x - 20 = 4x - 12
→ Subtract 4x from both sides
∵ 5x - 4x - 20 = 4x - 4x - 12
∴ x - 20 = -12
→ Add 20 to both sides
∴ x - 20 + 20 = -12 + 20
∴ x = 8
→ To find AB substitute the value of x in its expression
∵ AB = 3x - 4
∴ AB = 3(8) - 4
∴ AB = 24 - 4
∴ AB = 20
∴ The length of AB is 20 units
Which of these graphs represents a function
Answer:
Y
Step-by-step explanation:
the lines dont touch eachother
hello ive been stuck on this question first answer gets brainliest
Answer:
A
Step-by-step explanation:
Answer:
i wold say 95% A and 80% C
maybe try A
Step-by-step explanation:
find the surface area of this cylinder using pie.
Answer:
the surface area of a cylinder:
[tex]A=750\pi[/tex] ft²
or
[tex]A\approx 2356.19[/tex] ft²
Step-by-step explanation:
Given
r = 10 fth = 15 ftUsing the formula to determine the surface area of a cylinder:
[tex]A=2\pi rh+2\pi r^2[/tex]
[tex]A=2\cdot \pi \cdot 15\cdot 10+2\cdot \pi \cdot 15^2[/tex]
[tex]A=750\pi[/tex] ft²
or
[tex]A\approx 2356.19[/tex] ft²
Thus, the surface area of a cylinder:
[tex]A=750\pi[/tex] ft²
or
[tex]A\approx 2356.19[/tex] ft²
Plzz what the answer I’m stuck
Answer:
the answer to your question is 576 square feet
Step-by-step explanation:
Step 1: 96 ÷ 4 = 24
Step 2: 24×24 =576
what is the rate of change of the function
enter as a fraction
marking brainlist
Answer:
The rate of function is: 5/2
Step-by-step explanation:
As we know that the rate of change of a function is a ratio that compares the difference between the output values to the difference between the corresponding input values
rate of change = change in y-values / change in y-values
So, all we need is to find the slope between any two points as the slope is basically termed as the rate of change.
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-5,\:18\right),\:\left(x_2,\:y_2\right)=\left(-3,\:23\right)[/tex]
[tex]m=\frac{23-18}{-3-\left(-5\right)}[/tex]
[tex]m=\frac{5}{2}[/tex]
Thus, the rate of function is: 5/2
the question is the photo
Answer:
its A. B. C. D. E.
Step-by-step explanation:
all of it are correct