Answer:
a) i. The z-test statistic will be close to 0, as the sample mean and the tested proportion are expected to be close values.
b) ii. The p-value will not be small, as the z-statistic is close to 0.
Step-by-step explanation:
The null hypothesis is p = 0.20
The teacher carries out a hypothesis test to determine whether the student was just guessing.
Test if the proportion is different from 0.2. So the alternate hypothesis is:
[tex]H_{a}: p \neq 0.2[/tex]
Five choices for each question, one of which is correct.
Probability of having a correct answer is [tex]X = \frac{1}{5} = 0.2[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
a. Which of the following describes the value of the z-test statistic that is likely to result?
In this question, [tex]X = p = \mu[/tex], which meas that the numerator of the z-statistic will be close to 0, which means that the z-test statistic will be close to 0.
b. Which of the following describes the p-value that is likely to result?
pvalue is 2 multiplied by the pvalue of Z(if negative), or 1 subtracted by the pvalue of Z(if positive).
Since the value of Z is close to 0, either the pvalue of Z or 1 subtracted by the pvalue of Z is close to 0.5, and multiplied by 2 will be close to 1. So, as Z is close to 0, the pvalue will not be small.
The product of two consecutive odd integers is 63. If x is the smallest of the integers, write an equation in terms of x that describes the situation, and then find all such pairs of integers.
The equation that describes the situation is __________________
The positive set of integers is _________________
The negative set of integers is _________________
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Answer:
x(x+2) = 637, 9-9, -7Step-by-step explanation:
If x is an odd integer, the next greater odd integer is x+2. The product is said to be 63, so the equation is ...
x(x +2) = 63
__
The equation can be rewritten as ...
(x +1)² = 64
x = -1 ±√64 = -1 ±8
The positive solution is x=7, so the positive set of integers is {7, 9}.
The negative solution is x=-9, so the negative set of integers is {-9, -7}.
The area of a rectangle is 36x^2 — 100y^2. Determine the length and the width of the rectangle.
Answer:
the length is represented by (6x + 10y) and the width by (6x - 10y)
Step-by-step explanation:
36x^2 - 100y^2 is the difference of two squares, so we need only factor this expression to obtain the length and width.
Recall that a similar difference, a^2 - b^2, comes out to (a - b)(a + b).
Thus, (36x)^2 = (100y)^2 = (6x - 10y)(6x + 10y).
Let's assume that the greater measurement, the length, is represented by (6x + 10y) and the width by (6x - 10y)
Lines AB and XY are best described as which of the following?
A
BO
A. Perpendicular segments
B. Perpendicular rays
ОООО
C. Parallel lines
D. Perpendicular lines
Lines AB and XY best describe the perpendicular segments. The correct option is A.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Lines AB and XY best describe the perpendicular segments. AS they are cutting each other at 90 degrees.
To know more about line segments follow
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Which equation shows the
commutative property of addition?
A 2x = 2x
B 2x + 3 = 3 + 2x
C 2x - 3 = 2(x - 3)
D 2(x + 3) = 2x + 6
Answer:
B
Step-by-step explanation:
Have a nice day!
What are the ordered pairs of the solutions for the
following system of equations?
(3, [?]); ([ ], [ ])
Answer:
(3,1) ; (6,-2)
Step-by-step explanation:
We have to search the points that the line and the parabola have in common, that are the points where they intercept
(3,1) ; (6,-2)
volume of a cylindrical can of juice is 500cm3 and the diameter of its base is 8 cm find the height of the can of pineapple juice
Answer:
Height = 2545.45cm
Step-by-step explanation:
Volume of cylinder = pie r^2 h
500 = 22/7*4*4*h
500*7/22*16 = h
2545.45cm = h
The length of a rectangle is 13 centimeters less than four times its width. Its area is 35 square
centimeters. Find the dimensions of the rectangle.
The width is
and the length is
Answer:
width 5
length 7
Step-by-step explanation:
W * L = 35
L = 4 * W - 13
W * (4W-13) = 35
4 W^2 - 13 W - 35 = 0
delta = 169 + 4*4*35 = 729 = 27^2
W = (13 + 27) / 8 = 5 (its the only solution since 13 - 27 is less than 0 which makes no sense)
L = 4 * 5 - 13 = 7
The length and width of the rectangle are 7 cm and 5 cm respectively.
What is a rectangle?A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.
Given that, the length of a rectangle is 13 cm less than four times its width. Its area is 35 cm².
We know that, the area of a rectangle = length × width
Let the width of the given rectangle be w,
According to question,
length = 4w - 13
Therefore,
(4w - 13) × w = 35
4w² - 13w = 35
4w² - 13w - 35 = 0
Factorizing, we get,
w = 5 and w = -7/4
Therefore, width = 5
Length = 20 - 13
Length = 7
Hence, the length and width of the rectangle are 7 cm and 5 cm respectively.
Learn more about rectangle, click;
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need help solving these 4 problems
Answer:
A)5
D) Z
I dunno
D) X
number 68 I dunno sorry
Answer:
66) A) 5
67) D) Z
68) D) T
69) D) X
Please solve and show your work. Thank you! I will mark brainiest :)
Answer:
x=22.5
Step-by-step explanation:
Make a ratio
The names of the triangle help with this.
AB is similar to FG, and AC is similar to FH (the missing side)
6/15 = 9/x
cross multiply
6x=135
divide both sides by 6
x=22.5
Answer:
X=22.5
Step-by-step explanation:
6/9=15/x
135=6x
22.5=X
Of the 31 teachers at Keenan's high school, 14 are female. What is the ratio of the number of female teachers to the number of male teachers?
Answer:
The answer is 14:17
Step-by-step explanation:
31-14 is 17 and 14 are female and 17 are male so we do 14:17
If a certain roundabout has diameter of 96 feet,
about how far would a car travel if it drove once
around?
A. 150.8 feet
B. 301.6 feet
C. 348.5 feet
D. 7,238.2 feet
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Answer:
B. 301.6 ft
Step-by-step explanation:
The circumference of the circle is given by the formula ...
C = πd
For a diameter of 96 ft, the circumference of the circle is ...
C = π(96 ft) ≈ 301.593 ft
The car would travel about 301.6 feet.
Which of the decimals or fractions is not equal to 0.825 or ?
loo
.
O
0.625
10
16
O 0.85
33
40
I'm confused can u tell me the question in comments
Which one is right can y help me
Answer:
What are you trying to find out? Like what do you mean by which one is right?
Step-by-step explanation:
Find the probability that a randomly selected point within the white area r=4
Answer:
0.25
Step-by-step explanation:
The radius of a cylindrical water tank is 4.5 ft, and its height is 8 ft. What is the volume of the tank?
What is it i’m really really really confused about it lollll
Answer:
it would be D
So, when they say quantities that combine to make 0, that means you have to lose, and then gain the same amount back.
If you look at all the other choices, they either keep on gaining or they don't gain the same amount they lost
Think about it as breaking even. You aren't actually gaining anything if you are gaining back the exact same amount you lost.
Find the area. The figures are not drawn to scale.
12.
(1 point)
4 cm
6.9 cm
O 13.8 cm2
O 10.9 cm2
O 27.6 cm2
O 55.2 cm?
Answer and step-by-step explanation:
If it is a rectangle, the formula is:
L * W
Fill in the values:
4*6.9
Then solve.
27.6
So, if it is a rectangle, the answer is (C), 27.6 Inches squared.
If it is a triangle, the the formula is:
(B*H)/2
Fill in the values:
4*6.9/2
Simplify:
27.6/2
Then solve.
13.8
So, if it is a triangle, the answer is (A), 13.8 Inches squared
Hope this helps!
Solving a word problem on proportions using a unit rate
Alonzo drove 335 miles in 5 hours.
At the same rate, how long would it take him to drive 469 miles?
Answer:
7 hours
Explanation:
Divide 5 and 335 then multiply by 469
because 5 / 339 will be time for one mile and then multiply by 469 will be number of hours for 469 miles
5 / 339 × 469 =7 hours
PLEASE HELP I NEED HELP NO SCAM LINKS
Answer:
D
Step-by-step explanation:
Answer:
A - the X intercept will be negative
If you need further guidance, I'm here to help!
~ PumpkinSpice1
find the volume of the cone Diameter:10 m and Height:10m, round to the nearest whole number
Answer:
und wey kennen diese Antwort oder Art und Weise nicht, wie Sie sie wahr übersetzt haben
How do you balance these Chemical equations?
1.C+ ZnO= Zn+CO2
2.Pb+HCl=PbCl2+H2
Please show your work.
Answer:Zno C Zn co2
Step-by-step explanation:
C is a reducing agent, ZnO is an oxidizing agent. ; White, odorless solid.
A circle's area is directly proportional to its radius squared.
What is the constant of proportionality (to 2 decimal places)?
(Area of a circle = rr2)
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Answer:
3.14
Step-by-step explanation:
The formula for the area of a circle is ...
A = πr²
The constant of proportionality is the constant in this equation: π. To two decimal places, the value of π is 3.14.
The constant of proportionality is about 3.14.
Which is equivalent to the series shown?
12
Which expansion is equivalent to the summation
shown?
12
12
20 Σ
1
n=9 n=9
n +
n=9
X
1 1 1 1
20+9+10+11+12+
9 10 11 12
-
Σ (20n +
+
Ź 201n+ )
20
n
n-9
x
1
1
-
1
11
1
12
20(9 + 10 +11+12) +.
9 10
2019 +10 +1
X
1 1 1
20 9+10 +11+12+
9 10 11 12
n +
n-9
12 12
1
12 + 20
n
n=9 n-9
12 12
1
n+
n-9 n=9n
1 1 1
9+10+11+12+ 20
9 10 11 12
20Σ
COMPLETE
Na
Intro
Final
Answer:
first one is (d) second one is (b)
Step-by-step explanation:
Alan has forgotten his 4-digit PIN code. He knows the first digit is odd, and the last digit is a 5. How many different sets of 4 digits could it be?
Answer:
72
Calculate one by one:
9P2
6)
(y = -2x + 9
(5x - 2y = 18
yo i need help
Answer:
use the app photomath
Step-by-step explanation:
Which statement is true?
Answer:
[tex] (\sqrt[m]{ {x}^{a} } ) ^{b } = \sqrt[m]{ {x}^{ab} } [/tex]
I will give brainlyist and extra points for correct answer ( no links )
Answer:
7. 56
8. 117
Step-by-step explanation:
7.
Add the lengths of the sides. Each square on the grid has side 2 units.
9 + 4 + 4 + 8 + 11 + 3 + 2 + 15 = 56
8.
Find the lengths of the bases and the height of the trapezoid. Each square on the grid is 2 units.
Area of trapezoid = (1/2)(b1 + b2)h
area = (1/2)(15 + 11)(9) = 117
For the data set shown in the scatterplot, what is the BEST approximation of the y-intercept for the line of best fit? A) 0 B) 50 C) 125 D)200
Answer:
C) 125Step-by-step explanation:
If you add a line of best fit, its extension is likely to intersect the y-axis between 200 and 100 but closer to 100.
The best estimate is choice C) 125
if t=2, what is √18t?
Answer:
s
Step-by-step explanation:
5.5~
Answer:
8.48528137 I think
Solve using substitution. You MUST find both variables to be crowned brainiest
2x + 4y = 40
x - 6y = -36