A teacher gave a unit test to both of her statistics classes. The mean test grade for Class A was 77 points, with a standard deviation of 5 points, whereas the mean test grade for Class B was 80, with a standard deviation of 7 points. Kyle, in Class A, received an 82 on the test, and Caleb, in Class B, received an 87. Whose performance on the unit test was better relative to their class?
Answer:
i think they would be the same
Step-by-step explanation:
77+5=82 or 77-5=72
so he is within the range of 72-82
80+7=87 80-7=73
so he is also within the range of 73-87
Since both Kyle and Caleb scored 1 standard deviation above their respective class means, we can conclude that their performances were relatively equal.
What is standard deviation?A standard deviation is a measure of how far apart the data is from the mean.
A low standard deviation indicates that data is clustered around the mean, whereas a high standard deviation indicates that data is more spread out.
To determine whose performance was better relative to their class, we need to calculate their z-scores, which tell us how many standard deviations a particular score is from the mean.
For Kyle in Class A:
z-score = (82 - 77) / 5 = 1
This means that Kyle's score is 1 standard deviation above the mean for his class.
For Caleb in Class B:
z-score = (87 - 80) / 7 = 1
This means that Caleb's score is also 1 standard deviation above the mean for his class.
Thus, we can conclude that Kyle and Caleb's performances were comparable because they both scored one standard deviation above their respective class means.
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A deep freezer is accidentally unplugged, and the temperature increases to 10ºF before an employee notices and plugs the machine back in. The initial temperature of the freezer was –5ºF. The freezer remained unplugged for an estimated 3 hours. Assuming the temperature changed at a steady rate, how much did the temperature change per hour?
Answer:
5 degrees per hour
Step-by-step explanation:
-5+n=10
+5. +5
n=15
15/3=5
science pls help this is due today
Answer:
last one
Step-by-step explanation:
Brainliest please
Answer:
C) cold and snowy
Step-by-step explanation:
The temperature is 48C to 82F which is on the hot side
but the low temperature is 9 degrees so that explains there will be snow anything below 19 degrees is snow and cold windy air
Sorry if I am wrong! :(
1.f(x)=0,5x+3 represents a function, Evaluate the function if f(12), *
A. 9
B. 3.04
C. 18
D. 15.5
If triangle A(0,-1), B(0,3), C(3,-2) is rotated at 90 degrees CCW about the origin, what are the new coordinates
A 30 feet wire stretches from the top of a light pole diagonally to the ground the light pole is 10 feet high what is the angle the wire makes with the ground
Answer:
The wire makes an angle of 19.47 degrees with the ground
Step-by-step explanation:
Here, we want to calculate the value of the angle that the wire makes with the ground
Mathematically, we need an image
From the image, we have a right-angled triangle with the length of the wire as hypotenuse, the height of the pole as opposite
So; we proceed to use a trigonometric identity to get the angle
Mathematically; the trigonometric identity that relates the hypotenuse with the opposite is the sine
So;
sine theta = 10/30
theta = sin^-1 (1/3)
theta = 19.47 degrees
Which fractions have the same value as −1/4 ?
Answer:
Some examples are -2/8, -3/12, -4/16.
Step-by-step explanation:
Last year during November there was a heatwave. The average daily temperature went from 57°F to 76°F. What was the percent increase in the average daily temperature during the heatwave?
Answer:
hhhh
Step-by-step explanation:
hhhhhh
Pls answer I’ll give you brainly
Answer:
D
Step-by-step explanation:
Point A is the incenter of triangle DEF. Point A is the incenter of triangle D E F. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. Which must be true? Select three options
The points must be true for Point A which is the incenter of triangle DEF are 1> Point A is the center of the circle that passes through points X, Y, and Z. 2>Line segment A X is-congruent-to line segment A Y . 3> Point A is always inside triangle DEF .
What is incenter of triangle?
The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle. This point is equidistant from the sides of a triangle, as the central axis's junction point is the center point of the triangle's inscribed circle. The incenter of a triangle is also known as the center of a triangle's circle since the largest circle could fit inside a triangle. The circle that is inscribed in a triangle is called an incircle of a triangle.
According to the question
Point A is the incenter of triangle DEF .
Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. (X,Y,Z are points on middle of sides )
Now,
According to the properties of incenter of the triangle
1.> The circle that is inscribed in a triangle is called an incircle of a triangle.
i.e
Point A is the center of the circle that passes through points X, Y, and Z.
2> The incenter of a triangle is equidistant from the sides of a triangle, as the central axis's junction point is the center point of the triangle's inscribed circle.
i.e
Line segment A X is-congruent-to line segment A Y .
3> A triangle's incenter always lies inside the triangle.
i.e
Point A is always inside triangle DEF .
Hence, The points must be true for Point A which is the incenter of triangle DEF are 1> Point A is the center of the circle that passes through points X, Y, and Z. 2>Line segment A X is-congruent-to line segment A Y . 3> Point A is always inside triangle DEF .
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1 point
Question: A school purchased a total of 112 student tickets and adult
tickets for a field trip to a play. The price of each student ticket was $3.50,
and the price for each adult ticket was $6.50. If the school spent a total of
$437, how many student tickets and adult tickets did the school purchase?
92 student tickets; 20 adult tickets
97 student tickets; 15 adult tickets
O
102 student tickets; 10 adult tickets
88 student tickets; 23 adult tickets
Answer:
the answer is 97 student tickets and 15 adult tickets
Step-by-step explanation:
Find the ordered pairs for the x- and y-intercepts of the equation 5x − 6y = 30 and select the appropriate option below. (5 points)
77÷ -11
20 points!!!!!
Answer:
7 time 11 is 77 so 77 divided by 11 is 7
Step-by-step explanation:
Answer:
It's -7
Step-by-step explanation:
What is the image point of (2,4)(2,4) after a translation left 4 units and down 1 unit?
Answer:
(-2; 3)
.............
(3x3 + 4r) + (3.23 – 42° – 9x) =
Answer :
12.23+4r-42°-9x
what is the area of this composite figure
What’s the slope of the line ?
Answer:
y= 2x-2
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
Find two lattice points
I chose (-2, 0) and (0, -2)
Since you are using a graph, you don't need an equation.
Starting from (-2, 0), you go down -2 points and 2 across to get to the second point.
-2/2 = -1
Need a brainliest? Answer this !!! Correct and fast answers only!!
Answer:
B
Step-by-step explanation:
Any number times 1 is itself, thus the multiplicative identity property
What is the answer to this question?
Answer:
81
Step-by-step explanation:
theres a crown at the bottom press it plez
PLEASE HELP MEE!!!!!!-
Answer:
26 2/3
Step-by-step explanation:
Which of the following are accurate description of the distribution below?
Answer:
b option
Step-by-step explanation:
[tex]( {x}^{2} - 8x + 6) \div (x + 2)[/tex]
how do you solve this using synthetic division?
Graph.
y= 53x–4
Apparently this is way to short and I have to put in 20 more characters to get a "great" answer *eye roll* sooooooooooo blah blah blah balh there more than 20
Answer:
sorry
Step-by-step explanation:
why the hell do our teachers do this to us ;(
k(x)=6x-12; k(x)=18
please help idk what the answer is
Answer:
96 IS THE AOUNSER
Step-by-step explanation:
John has a part-time job. He is payed £6.80 per hour. This week he worked for 9 and a half hours. Work out John's total pay for this week.
Answer:
£64.6
Step-by-step explanation:
Multiply £6.80 by 9
£61.2
Now divide £6.80 by 2
£3.4
Add £3.4 to £61.2
The answer is £64.6
(I think)
Hope this helps :)
Plz Help! Giving out brainiest!
1/4:10 = x:4
Which comparison is true?
6 stars and 7 hearts.
There are 6 stars for every 7 hearts.
There are 7 stars for every 6 hearts.
For every 7 stars there are 13 hearts.
For every 6 stars there are 13 hearts.
Answer:
Yup it’s A. There are 6 stars for every 7 hearts.
Step-by-step explanation:
I need some help with this math problem
Answer: it’s C
Step-by-step explanation:
What is 2/3 + 2 1/6 And please explain how you got it
Is this correct? If not, please tell me why!!
Answer:
your correct good job