Answer:
The z-score for the statistics test grade is of 1.11.
The z-score for the calculus test grade is 7.3.
Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class
Step-by-step explanation:
Z-score:
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.
In this question:
The grade with the higher z-score is better relative to the other students in each class.
Statistics:
Mean of 79 and standard deviation of 4.5, so [tex]\mu = 79, \sigma = 4.5[/tex]
Student got 84, so [tex]X = 84[/tex]
The z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{84 - 79}{4.5}[/tex]
[tex]Z = 1.11[/tex]
The z-score for the statistics test grade is of 1.11.
Calculus:
Mean of 69, standard deviation of 3.7, so [tex]\mu = 69, \sigma = 3.7[/tex]
Student got 96, so [tex]X = 96[/tex]
The z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{96 - 69}{3.7}[/tex]
[tex]Z = 7.3[/tex]
The z-score for the calculus test grade is 7.3.
On which test did the student perform better relative to the other students in each class?
Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class
(HELP FINAL EXAM) If two states are selected at random from a group of 40 states, determine the number of possible outcomes if the group of states are selected with replacement or without replacement.
Answer:
With replacement, there are 1600 possible outcomes.
Without replacement, there are 1560 possible outcomes.
Step-by-step explanation:
Chosen with replacement:
State is chosen, then put back in the group, then another state can be chosen. In both cases, there will be 40 possible outcomes, as the first taken state is placed back. So
40*40 = 1600
With replacement, there are 1600 possible outcomes.
Chosen without replacement:
State and chosen and is not replaced.
So, for the second state, there will be only 39 possible outcomes.
40*39 = 1560
Without replacement, there are 1560 possible outcomes.
$16000 increased by 20%
Tell me the answer plssss
Answer:
16,000, percentage increased by 20% (percent) of its value = 19,200
Step-by-step explanation:
Answer:
Hope the answer is by substracting
15999.8
right three million, eight hundred sixty-two thousand, seven hundred ninety-five standard: and expanded:
Answer:
Expanded: 3,000,000- 800,000- 60,000- 2,000- 700- 90- 5
Standard: 386,2795
Hope this helps!!
What is the median of this list of grades: 78,55,98,86,92,70,60 ?
Answer:
the median of this list is 78
Which statement is given in the diagram?
Answer:
Both shapes ADE and ABC are the exact same thing because those dashes mean that they match up with another.
Step-by-step explanation:
The length of each base of a trapezoid is shrunk to one-third its original length and the height of the trapezoid is tripled.
Lisa claims that the area of the new trapezoid is one-third the area of the original trapezoid.
Which expression best uses the dimensions of the new trapezoid to compare its area to the area of the original trapezoid in order to
determine if Lisa's claim is accurate?
A
lh + b) 3h
C С
3(02+)31
D
9514 1404 393
Answer:
A
Step-by-step explanation:
The formula for the area of the original trapezoid is ...
A = 1/2(b1 +b2)h
Using 1/3 the base length and 3 times the height, the area of the new trapezoid is ...
A = 1/2((1/3b1) +(1/3b2))(3h)
= (1/2)(1/3)(b1 +b2)(3h)
= 1/6(b1 +b2)3h . . . . . . . . matches choice A
Please help!! Lots of points
Is anyone good at geometry if so can someone help me please ?
NO LINKS PLEASE
Which one is the best prediction! Please and no link answer :(
Answer:
[tex]Prediction = 35[/tex]
Step-by-step explanation:
Given
The attached table
Required
Expected number of Daffodil when N = 150
First, we calculate the probability of having a Daffodil.
[tex]Pr = \frac{Daffodil}{Total}[/tex]
This gives:
[tex]Pr = \frac{14}{14+10+24+12}[/tex]
[tex]Pr = \frac{14}{60}[/tex]
Simplify
[tex]Pr = \frac{7}{30}[/tex]
When there are 150 flowers, the prediction of Daffodils is:
[tex]Prediction = Pr * N[/tex]
[tex]Prediction = \frac{7}{30} * 150[/tex]
[tex]Prediction = 7*5[/tex]
[tex]Prediction = 35[/tex]
1
ir fx) =
x+ 2, what is f(3+h)
(3+h)
O A. (x + 2)
1
O B. 3+h
1
c. (x+2)(3+h)
1
D. h+ 5
Please help me due today !!
What are the first 4 terms in the sequence?
A(n)=2(1/3)^(n-1)
Answer:
something
Step-by-step explanation:
(6,-7,8...)
Which of these equations has NO solution? A. 3 ( 2 x + 7 ) = 6 ( x + 4 ) − 3 B. 3 ( 6 x − 5 ) = 3 ( 6 x − 5 ) + x C. 8 ( x − 3 ) + 14 = 2 ( 4 x + 5 ) D. 13 x − 7 = 12 ( x − 1 ) + x + 5
Answer:
B ig
Step-by-step explanation:
A: 3(2x+7) = 6(X+4) - 3
<=> 6x+ 21 = 6x + 24 - 3 = 6x + 21
<=> 0 = 21 - 21 = 0
B: 3(6x-5)= 3(6x-5)+x
<=> 18x-15= 18x - 15 + x = 19x - 15
<=> 0 = x
C: 8(x-3) + 14= 2(4x+5)
<=> 8x - 24 + 14 = 8x - 10 = 8x + 10
<=> 0 = 0
D: 13x - 7 = 12( x - 1) +x + 5
<=> 13x - 7 = 12x -12 + x + 5 = 13x - 7
<=> 0 = 0
A set of books sits on a shelf at a store. This line plot
shows the thickness of each book. Amelie buys the
thickest book on the shelf. Raj buys one of the thinnest
books on the shelf.
How much thicker is Amalie's book than Raj's book?
Answer:
The difference in their thickness is: [tex]2\frac{1}{2}[/tex]
Step-by-step explanation:
Given
The attached plot which represents thickness of books
Required
Difference in the thickness of Amalie's (A) and Raj's (R)
From the question, we understand that:
[tex]A \to[/tex] Thickest
[tex]R \to[/tex] One of the least
This implies that:
[tex]A = 4[/tex]
[tex]R = 1\frac{1}{2}[/tex]
The difference (d) is:
[tex]d = 4 - 1\frac{1}{2}[/tex]
[tex]d = 2\frac{1}{2}[/tex]
Answer:
2 1/2
Step-by-step explanation:
no links I can use structure to evaluate expressions with more than one term.
A.
strongly agree
B.
agree
C.
disagree
D.
strongly disagree
I wish I could help but I don't know
What is 7 divided by 8360 in long division
Answer: 8.373205741626794e-4
Step-by-step explanation: Thant is what i got on my calculator
Answer:
1194 R2
Step-by-step explanation:
7 | 8360
7 (1000)
_______
1360
7 (100)
_______
660
63 (90)
_______
30
28 (4)
_______________
2 | 1194
Solve the system by substitution.
9y - 6 = x
2x - 8y = 18
Answer:
Step-by-step explanation:
Philip deposited $50 in a savings account earning 10% interest, compounded annually.
To the nearest cent, how much will he have in 3 years?
Answer:
He will have $66.55 in 3 years.
Step-by-step explanation:
Given that,
Principal, P = $50
Rate of interest, R = 10%
We need to find the amount earned by him in 3 years. We know that, the final amount is given by :
[tex]A=P(1+\dfrac{r}{100})^T[/tex]
Put all the values,
[tex]A=50(1+\dfrac{10}{100})^3\\\\=50\times (\dfrac{11}{10})^3\\\\=\$66.55[/tex]
So, he will have $66.55 in 3 years.
Helpppppp please! I’ll give Brainliest!! Find the area of the parallelogram shown below. The formula to find area of a parallelogram is base x Height
Answer:
a = base × height
= 100yds × 52yds
= 5200 yds^2
1. Name the angle below in four ways. Then classify it as acute, right, obruse, or straight.
Please anwser :/
Answer:
Ok so I know the angle is acute
Step-by-step explanation:
because the angle looks smaller than a 90 degree angle...
PLSSSSS HELLLPPPP. Determine the perimeter of this shape.
Answer:
The perimeter is 26cm
Step-by-step explanation:
Given
See attachment for shape
Required
The perimeter
This implies that, we add up the length of all sides (see attachment 2 for complete lengths)
So, we have:
[tex]Perimeter = 6cm + 4cm + 2cm + 3cm + 4cm + 7cm[/tex]
[tex]Perimeter = 26cm\\[/tex]
Robert purchased 136/5 yards of fabric to make curtains. What is the amount of fabric he purchased expressed as a decimal?
Answer:
27.2
Step-by-step explanation:
all you have to do is divide the numerator by the denominator.
The amount of fabric he purchased expressed as a decimal will be;
⇒ 27.2
What is Decimal number?A decimal number is a number that consists of a whole and a fractional part.
Given that;
Robert purchased 136/5 yards of fabric to make curtains.
Now,
Since, Robert purchased 136/5 yards of fabric to make curtains.
Hence, It can be written as;
⇒ 136/5 = 27.2
Thus, The amount of fabric he purchased = 27.2
Learn more about the decimal number visit:
https://brainly.com/question/12715674
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Click on all the points that are solutions to y = x^2 - 9.
A) (0,-3)
B) (2,-5)
C) (3.-3)
D) (3,0)
E) (7,4)
9514 1404 393
Answer:
B) (2, -5)
D) (3, 0)
Step-by-step explanation:
I find it convenient to let a graphing calculator plot the points and the graph.
The only two points on the graph of the curve are ...
(2, -5) and (3, 0)
1) I can find my volume if the volume of the cylinder is multiplied
by Who am 1?
b. Prism
a. Cone
d. Sphere
c. Pyramid
2) The volume is that of a cylinder that has the same base and
height with me. Who am I?
c. Prism
d. Pyramid
a. Cone
b. Cylinder
3) The volume of the pyramid is of the volume of what figure?
a. Cone
b. Cylinder
C. Prism
d. Pyramid
4) A rectangular prism has 10 cm length, 4 cm width and 5 cm
height. What is the length of the rectangular pyramid?
d. 20 cm
b. 5 cm
c. 10 cm
a. 4 cm
Additional Activities
Directions: Solve the following. Show your solution.
1. Diane has clay in a can. Its radius is 6 cm, while its height is 10
cm. She wanted to transfer some of her clay to her cone-
shaped container. What is the volume of the cone to be filled
and height with the can?
You can find the volume of a sphere by multiplying the volume of a cylinder by 4/3: D. sphere.
How to calculate the volume of a sphere?Mathematically, the volume of a sphere can be calculated by using this formula:
V = 4/3 × πr³
Where:
V is the volume of a sphere.r is the radius of a sphere.Note: The volume of a cylinder is equal to πr² × r.
Thus, 4/3 × πr² × r = 4/3 × πr³ (Volume of a sphere).
How to calculate the volume of a cone?Mathematically, the volume of a cone is calculated by using this formula:
V = 1/3 × πr²h
Note: The volume of a cylinder is equal to πr²h.
Therefore, 1/3 × πr²h (volume of a cone).
How to calculate the volume of a pyramid?Mathematically, the volume of a pyramid is calculated by using this formula:
Volume = 1/3 × base area × height
Volume = 1/3 × πr²h.
In Geometry, the length of a rectangular prism and the height of a rectangle pyramid are the same. Thus, the length of this rectangular pyramid is equal to 10 cm.
How to calculate the volume of Diane's cone?Mathematically, the volume of a cone is calculated by using this formula:
V = 1/3 × πr²h
V = 1/3 × 3.14 × 6² × 10
Volume, V = 376.8 cm³.
Read more on volume of a cone here: https://brainly.com/question/3029844
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I-Ready Surface area of composed figures what is the surface area of this design
Answer: 512
Step-by-step explanation:
Hello, I hope the answer is correct if not let me know and i will work step by step on it with you. Your welcome and Happy to help.
The surface area of the design is 384 inches².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
The given design is a cube.
All the sides are of the length 8 inches.
The formula to find the surface area of a cube is,
Surface area = 6a², where "a" is the length of a side of the cube.
Given, a = 8 inches
Surface area of the design = 6 × 8²
= 6 × 64
= 384 inches²
Hence the given design has the surface area of 384 inches².
Learn more about Surface Area here :
https://brainly.com/question/29298005
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help pls i think it’s B im not sure tho
Answer:
yes i think its b
Step-by-step explanation:
17 students said they enjoy summer the most.
4 of the girls said they enjoy winter.
The ratio between boys and girls is 8 : 11.
The probability of picking a student at random who enjoys Summer is 38
Twice as many of the girls chose summer over spring.
7 boys chose summer.
Autumn was chosen by 3 more boys than girls.
The probability of picking a boy at random who chose spring is 18.75%
Answer:
Step-by-step explanation:
17 students chose summer, 7 boys
Girls that chose summer= 17-7=10
Twice Girls chose summer over spring= 10÷2 =5
5 Girls chose spring, 4 Girls enjoy winter
A soft drink machine outputs a mean of 2222 ounces per cup. The machine's output is normally distributed with a standard deviation of 44 ounces. What is the probability of filling a cup between 2525 and 3030 ounces? Round your answer to four decimal places.
Let X be the random variable for the output of the machine. Transform X to a standard normal random variable Z, using the rule
Z = (X - µ)/[tex]\sigma[/tex]
where µ and [tex]\sigma[/tex] are the mean and standard deviation of X.
Pr[25 < X < 30] = Pr[(25 - 22)/4 < (X - 22)/4 < (30 - 22)/4]
… = Pr[3/4 < Z < 2]
… = Pr[Z < 2] - Pr[Z < 3/4]
… ≈ 0.9773 - 0.7734
… ≈ 0.2039
What’s the answer and how do you figure these out?
<2 = 35° because they form an S angle. S angles are alternating angles
Find the length of side y.
y=_ft
Answer:
y= 18.582
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