The table below shows the scores on a science test.
John
75 Brett
80
Elizabeth 90
Cindy
100
Jake
75
Kenji
85
Rick
80 Joy
80
Raul
90 Suni
85
The number of standard deviations between a score and the mean score is indicated by a z-score. What was Cindy's
Z-score on the science test?
a. -2.2
C. 16
b. 100
d. 2.2
Based on the test scores of the students, Cindy's z-score on the science test is 2.2
How to determine the z-score of Cindy?We start by calculating the mean of the scores using:
Mean =Sum/Count
So, we have:
Mean = (75 + 80 + 90 + 100 + 75 + 85 + 80 + 80 + 90 + 85)/10
Mean = 84
Using a statistical calculator, the standard deviation is:
Standard deviation = 7.35
The z-score is then calculated using:
z = (x - mean)/standard deviation
Cindy's score is 100.
So, we have:
z = (100 - 84)/7.35
Evaluate
z = 2.2
Hence, Cindy's z-score on the science test is 2.2
Read more about z-scores at:
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5. Write an equivalent expression to 1/4 (24x + 7 – 12x).
Answer:
Step-by-step explanation:
The easiest and most proper way to approach this task is to combine like terms inside parentheses: (24x + 7 – 12x) => (12x + 7).
Then (1/4)(24x + 7 – 12x) = (1/4)(12x + 7). This is an acceptable answer. There is the option of carrying out the multiplication, which results in
3x + 7/4, which is another acceptable answer.
5) A theatre can be rented for different hours. The cost is $100 for deposit and $200 per hour. Write a function rule to find the total cost of renting the theatre for 'n' hours. Find the total cost if you rented the theatre for 4 hours. IT : hours (h)
Answer:
Step-by-step explanation:
Since the cost is $100 for deposit and $200 per hour, the function rule to find the total cost of renting the theatre for 'n' hours will be:
= 100 + 200(n)
= 100 + 200n
The total cost if you rented the theatre for 4 hours will be gotten by replacing n with 4. This will be:
= 100 + 200n
= 100 + 200(4)
= 100 + 800
= $900
Help right answer get brainliest
Answer:
all i know is 6 is 72/30 because I'm busy right now sorry that I don't have the simplest form of answer
Answer:
6. 2 2/5
7. 66/145
8. 1 1/5
Step-by-step explanation:
Can someone please answer my question for real please. I’ll give extra points
Question:
In triangle FGH, the measure of angle H = 90°, HG = 48, FH = 55, and GF = 73. What ratio represents the tangent of angle G?
___________________________________________________
Solution:
The triangle FGH should look like that in the attachment.
Tangent of angle G = opposite side/adjacent side
= FH/HG
= 55/48
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What is the equation of the line that passes through the point (-4,-2) and has a
slope of - 1/2
(-4 , 2 ) so x1 = -4 and y1 = 2. The slope is still 1/2 so m = 1/2. y = 1/2 x +4 final answer
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Here is the answer
Step-by-step explanation:
On the grid below, draw the graph of y = 2 - 3x for the values of x from - 3 to 3
Step-by-step explanation:
slop -3
(x ,y) point that throgh the x,y axis
(0,2), (1,-1), (2, -4),( -1, 5), ( -2, 8) etc you can make the graph by connect the co ordinat point
The exterior angles of a quadrilateral have measures of 80°, 65, 2x", and 3x . Find the value of x.
Answer:
80°+65°+2x+3x=360°(sum of quadrilateral is 360)
145°+5x=360°
5x=360°-145°
5X=215°
X=215°/5°
X=43°
The required value is [tex]x=43[/tex]
Given angles are,
[tex]80^{\circ}, 65^{\circ}, 2x,3x[/tex]
As we know the sum of all angles in the quadrilateral is [tex]360^{\circ}[/tex].
Then we have the relation,
[tex]80+65+2x+3x=360\\\\145+5x=360\\5x=360-145\\5x=215\\x=43[/tex]
So, the value of the x is 43.
Find out more information about the topic:https://brainly.com/question/8565742
Write an equation in standard form for the line that has slope 1/3 and passes
through (-2, 8)
Answer:
-x + 3y = 26Step-by-step explanation:
The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:
y - y₁ = m(x - x₁)
m = ¹/₃
(-2, 8) ⇒ x₁ = -2, y₁ = 8
Therefore, the equation of the line which passes through (-2, 8) and with slope of 1/3 in point-slope form:
y - 8 = ¹/₃(x - (-2))
y - 8 = ¹/₃x + ²/₃ {multiply both sides by 3}
3y - 24 = x + 2 {subtract x from both sides}
-x + 3y - 24 = 2 {add 24 to both sides}
-x + 3y = 26
A total of 50,000 contestants are chosen for a survey. A
computer randomly eliminates 20% of the participants
each day.
Complete the following
a)
3
5
20
b)
11
25
30
6.
Answer:
The answer should be B
1. Michael and 6 friends went to the movies. There, they each bought movie tickets and a bag of popcorn to share among them all. Michael used the expression 7t + 4.50 to find the total cost. a) What is the variable and what does it represent in the expression? Explain.
Answer:
The variable is t
t represent the cost of movie tickets
Step-by-step explanation:
Given:
Total cost = 7t + 4.50
The variable is t
Michael + 6 friends = 7 people
4.50 represent the cost of popcorn
t represent the cost of movie tickets
For instance,
If the cost of a movie tickets is $2
Then,
t = 2
Total cost = 7t + 4.50
= 7(2) + 4.50
= 14 + 4.50
= 18.50
Total cost = $18.50
a triangular sail on a sailboat measures 8 yards on one side and 10 yards on a second side, what could be the length on the third side?
Answer:
8 yards
Step-by-step explanation:
/\
/ \
/ \
----------
/ and \ = 8
_ = 10
Amy works at an orange juice stand on Monday she used 1 2/5 bags of oranges on Tuesday she used 1 1/4 times as many oranges as on Monday how many bags did she use on tuesday do you know???
Yohanne and Mikaela completed a 1-km race. Yohanne finished the race 1 minute after Mikaela. If the speed of Mikaela is 50 meters per minute faster than Yohanne's speed, how many minutes did it take Yohanne to finish the race?
Answer: 5 min
Step-by-step explanation:
Given
Length of the race track [tex]l=1\ km\ or\ 1000\ m[/tex]
Suppose the speed of Yohanne is [tex]v_y=x\ m/min.[/tex]
then Mikaela speed is [tex]v_m=50+x[/tex]
the difference in the finishing time is 1 minute i.e.
[tex]\Rightarrow \dfrac{1000}{x}-\dfrac{1000}{50+x}=1\\\\\Rightarrow \dfrac{50+x-x}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow \dfrac{50}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow x^2+50x-50,000=0\\\\\Rightarrow x^2+250x-200x-50,000=0\\\\\Rightarrow (x+250)(x-200)=0\\\\\Rightarrow x=200\ m/min.[/tex]
Time taken by Yohanne is
[tex]\Rightarrow t=\frac{1000}{200}=5\ min[/tex]
TOURS The table shows the activities of two visitors at a park. You want to take the boat tour for 2 hours and the walking tour for 3 hours. Can you determine how much you will pay? Explain.
Answer:
Step-by-step explanation:
Rectangle A'B'C'D' is the image of rectangle ABCD after a dilation. What is the scale factor of the dilation?
15. B(-2, -9), C(0,-5), D(6,-3), E(4, -7)
Answer:
BC= 2√5
CD= 2√10
DE= 2√5
BE= 2√10
slope of BC = 2
slope of CD = 1/3
slope of DE = 2
slope of BE = 1/3
Step-by-step explanation:
formula for distance = √(x2-x1)²+(y2-y1)²
formula for slope = (y2-y1)/(x2-x1)
Right answer gets brainlist
Answer:
(-7-2)....................hope this helps
A room has a length of 5·25m and a width of 3·68m. What is the perimeter of the room?
Answer:
Perimeter = 17.86 m
Step-by-step explanation:
Perimeter = 2(L + W) = 2(5.25 + 3.68) = 17.86 m
I need help please. It's trig
Answer:
6/10
Step-by-step explanation:
Answer:
It is B 8/10
Step-by-step explanation:
Which equation represents the relationship between x and y?
A. y = x + 25
B. y = 25x
C. x =25y
D. x = y +25
??? Help me with my work pls
Answer:
2. 10 + 5 x 2 $20
3. 10 + 5 x 3 $25
4. 10 + 5 x 4 $30
Hope that helps!
Step-by-step explanation:
Answer:
2) 10+5x2= 20
3) 10+5x3= 25
4) 10+5x4= 30
Step-by-step explanation:
just add 5 every time
Which of the following transforms this non-statistical question into a statistical question? How much food does your dog eat?
Answer:
A) Not statistical /this question is answered by counting the number of days in March. This produces a single number. This number is not answered by collecting data that vary.
B) Not Statistical/ this question is answered by a single number. It is not answered by collecting data that vary.
C) Statistical/ this question would be answered by all collecting data, and there would be variability in that data.
D) statistical/ this question would be answered by collecting data, and there would be variability in that data
E) Not Statistical/ this question is answered by a single response. It is not answered by collecting data that vary.
F) not statistical/ this question would be answered by counting the bricks. This produces a single number. This question is not answered by collecting data that very
G) non-statistical/ there is only one temperature
Answer:I think it’s possibly A it’s what I got on my test and got it right.
Suppose a robot is at the corner of a rectangular arena and needs to reach the diagonally opposite corner. If the length of the arena is 105 meters, and the width is 68 meters, find the distance that the robot needs to travel. Round your answer to the nearest whole meter.
Answer:
Frx8txutxitxigxtix7fv7t8citcti
how to slove
y=15x+12
Answer:
0
Step-by-step explanation:
23. What is the value of x?
Answer:
9
Step-by-step explanation:
If PQ || to BC
Then by BASIC PROPORTIONALITY THEOREM:
[tex] \frac{8}{40} = \frac{x}{45} \\ \\ \frac{1}{5} = \frac{x}{45} \\ \\ x = \frac{45}{5} \\ \\ x = 9[/tex]
2.) Five minus four times a variable equals negative seven
Answer:
[tex]5 - 4x = - 7[/tex]
Step-by-step explanation:
Let the missing variable be x then yiu will get the answer above
Answer:
3
Step-by-step explanation:
5 - 4x = -7
add 4x to each side of the equation:
5 = 4x - 7
add 7 to each side:
12 = 4x
divide both sides by 4:
x = 3
proof:
5 = 4(3) - 7
5 = 12 - 7
5 = 5
i’ll give brainliest if someone can help
Answer:
Step-by-step explanation:
Surface Area = 4πr²
Volume = 4/3 πr³
VOLUME
4/3 *6³ *π=
4/3 *216π
216/3 = 72*4 = 288π
SURFACE AREA
4*π*6²=
4*36π=
144π
Overall the answer should be C.