Answer:
Decision Rule; Reject H₀ if t > 1.708
Step-by-step explanation:
Given the data in the question;
sample size n = 26
sample mean x' = 4.9
Variance = 0.81
standard deviation σ = √variance = √0.81 = 0.9
level of significance ∝ = 0.05
Claim;
Null hypothesis H₀ : μ = 4.6
Alternative hypothesis H₁ : μ > 4.6
Test Statistics;
Right tailed test
Now, decision rule for rejecting H₀;
degree of freedom df = n - 1 = 26 - 1 = 25
so, Right tailed test { > in H₁ }
Hence, Critical Value = [tex]t_{\alpha ,df[/tex] = [tex]t_{0.05, 25[/tex] = 1.708
Decision Rule; Reject H₀ if t > 1.708
anny has two boxes. One box contains 10 colored pencils, 4 of which are red and 6 of which are green. The other box contains 7 markers, 4 of which are red and 3 of which are blue. He chooses one colored pencil at random, and one marker at random. What is the probability of Manny choosing a green pencil and a red marker?
Answer:
12/35Step-by-step explanation:
p(green pencil) = 6/10 = 3/5p(red marker) = 4/7p(green pencil and red marker) = 3/5*4/7 = 12/35Find the missing side of each right triangle (Pythagorean’s Theorem)
Answer:
A = a^2 + b^2 = C^2
P = 144 + 25 = C^2
P = 169
square root 169 = 13
Step-by-step explanation:
Select the expression that is less than 10 2/3
.
Answer:
A.
Hope this helps :D
If there are 35 learners in this class, then determine the percentage of
learners who obtained a distinction (( > 80%).
Answer:
The question is an incomplete question
The General Social Survey asked a large number of people how much time they spent watching TV each day. The mean number of hours was 2.98 with a standard deviation of 2.66. Assume that in a sample of 40 teenagers, the sample standard deviation of daily TV time is 1.9 hours, and that the population of TV watching times is normally distributed. Can you conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Answer:
Yes, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Step-by-step explanation:
H0 : σ² = 2.66²
H1 : σ² < 2.66²
X²c = (n - 1)*s² ÷ σ²
sample size, n = 40
Sample standard deviation, s = 1.9
X²c = ((40 - 1) * 1.9²) ÷ 2.66²
X²c = 140.79 ÷ 7.0756
X²c = 19.897
Using a confidence level of 95%
Degree of freedom, df = n - 1 ; df = 40 - 1 = 39
The critical value using the chi distribution table is 25.6954
Comparing the test statistic with the critical value :
19.897 < 25.6954
Test statistic < Critical value ; Reject the Null
Hence, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Find the erea of the trapezoid.
show work for brainliest
Answer:
the area of the trapezoid is 32
Step-by-step explanation:
a (base)2
b (Base)6
h (height)8
what is the height of the cone
Answer:
28
Yes Pog, You are Poggers
Simplify each expression using the Order of Operations.
8-6 divided by 2+3 X 5
Answer:
8 - 6 ÷ 2 + 3 × 5
8 - 3 + 15
5 + 15
20
One of the authors and some statistician friends have an ongoing series of Euchre games that will stop when one of the two teams is deemed to be statistically significantly better than the other team. Euchre is a card game and each game results in a win for one team and a loss for the other. Only two teams are competing in this series, which we'l call team 1 and team 2.
Required:
a. Define the parameter of interest.
b. What are the null and alternative hypotheses if the goal is to determine if either team is statistically significantly better than the other at winning Euchre?
Answer:
Parameter of interest is the proportion of games won by a certain team.
H0 : p = 0.5
H1 : p ≠ 0.5
Step-by-step explanation:
Parameter refers to any statistical measure which is derived from the population data. Therefore, the parameter of interest in the scenario described above is the proportion of win or loss by a particular team. This could be either team A or team B.
Probability of either of either win or loss :
Proportion, p of win = 0.5
Null hypothesis ; H0 : p = 0.5
Alternative hypothesis ; H1 : p ≠ 0.5
Someone please help me out real quick?
Answer:
i think its c
Step-by-step explanation:
100 adults complete a survey.
45 are men.
Write the ratio
men : women
in its simplest form.
Answer:
9;11 is answer
Step-by-step explanation:
number of women=100 - 45 = 55
men; women= 45;55
= 45/55
=9/11
=9;11
Find the length of the third side. If necessary, round to the nearest tenth.
15
9
The length of the third side is 12 units
How to determine the length of the third sideFrom the question, we have the following parameters that can be used in our computation:
A right triangle
This means that we can calculate the third length using the Pythagoras theorem
using the above as a guide, we have the following:
x = √(15² - 9²)
Evaluate the exression
x = 12
Hence, the third length is 12 units
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Find the value of the expression 4d ÷ c + 3 when c = 3 and d = 6
The value of the expression 4d ÷ c + 3 is 11.
What is Expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions.
A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression.
Given:
4d ÷ c + 3
Now, for d= 6 and c= 3
we have
4d ÷ c + 3
= 4(6) / 3 + 3
= 4(2) + 3
= 8+ 3
= 11
Hence, the value of the expression is 11.
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Please help, super confused!
Answer:
it is B
Step-by-step explanation:
How much paper is needed to cover a rectangular bulletin board that is 29 in. wide and 37 in.
high?
A. 132 in2
B. 536.5 in?
C. 957 in?
D. 1,073 in?
Answer: The answer is D
The amount of paper needed to cover the rectangular bulletin board is 1,073 square inches. The correct answer is: D. 1,073 in²
To calculate the amount of paper needed to cover a rectangular bulletin board, we need to find the area of the board.
Given:
Width of the bulletin board = 29 inches
Height of the bulletin board = 37 inches
To find the area, we multiply the width by the height:
Area = Width * Height
Area = 29 inches * 37 inches
Area = 1,073 square inches
Therefore, the amount of paper needed to cover the rectangular bulletin board is 1,073 square inches.
The correct answer is:
D. 1,073 in²
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Rearrange
C=d+2/3
to make d the subject.
Answer:
d = C - 2/3
Step-by-step explanation:
Subtract 2/3 from both sides of the equation:
C = d + 2/3
-2/3 -2/3
-----------------
C - 2/3 = d
After rearranging the expression and taking the subject d is d = C - 2/3 or d = (3C-2)/3.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
C=d + 2/3
C - 2/3 = d (subtract both side by 2/3)
or
d = C - 2/3 or
d = (3C-2)/3
Thus, after rearranging the expression and taking the subject d is d = C - 2/3 or d = (3C-2)/3.
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2x + 2y - x - (8 + 1)?
Answer:
x + 2 y − 9
Step-by-step explanation:
Answer:
x+2y-9
Step-by-step explanation:
[tex]2x+2y-x-(8+1)\\ 2x-x+2y-9\\ x+2y-9[/tex]
subtract 8 from 10, then add n to the result
Answer:
(10-8) + n
Step-by-step explanation:
Good luck with your work!
Answer and Step-by-step explanation:
To subtract 8 from 10, it would look like this:
10 - 8.
Now, we add n to the result.
(10 - 8) + n
The question said not to simplify any part of this, so this is the expression.
(10 - 8) + n
#teamtrees #PAW (Plant And Water)
someone please answer this!!
Answer:
it 45
Step-by-step explanation:
u add 75 and 60 together which equals 135
then u subtract 135 from 180 and u get 45
Consider the following sample regressions for the linear, the quadratic, and the cubic models along with their respective R2 and adjusted R2.
Linear Quadratic Cubic
Intercept 29.83 29.35 26.88
x −0.04 0.16 2.11
x2 NA −0.02 −0.38
x3 NA NA 0.02
R2 0.001 0.001 0.008
Adjusted R2 −0.026 −0.053 −0.075
a. Predict y for x = 1 and 2 with each of the estimated models.
b. Select the most appropriate model.
1. Linear model
2. Cubic model
3. Quadratic model
Answer:
Kindly check explanation
Step-by-step explanation:
From the given information :
Linear model : y = - 0.04x + 29.83
Quadratic model : y = - 0.02x² + 0.16x + 29.35
Cubic model : y = 0.02x³ - 0.38x² + 2.11x + 26.88
Predicted y value for X = 1 ; X = 2
Linear model :
y = - 0.04(1) + 29.83 = 29.79
y = - 0.04(2) + 29.83 = 29.75
Quadratic model :
X = 1
y = - 0.02(1)^2 + 0.16(1) + 29.35 = 29.49
X = 2
y = - 0.02(2)^2 + 0.16(2) + 29.35 = 29.59
Cubic model :
X = 1
y = 0.02(1)^3 - 0.38(1)^2 + 2.11(1) + 26.88 = 28.63
X = 2
y = 0.02(2)^3 - 0.38(2)^3 + 2.11(2) + 26.88 = 28.22
Based on the R² value of the models given :
Linear ; R² = 0.001 ; R = sqrt(0.001) = 0.0316
Quadratic ; R² = 0.001 ; R = sqrt(0.001) = 0.0316
Cubic ; R² = 0.008 ; R = sqrt(0.008) = 0.089
Hence, the model which best fits the data is Cubic model.
What’s the correct answer for this?
Answer:
2 one
Step-by-step explanation:
How many triangles can be made with sides measuring 7 cm, 4 cm, and 5 cm
Answer:
One triangle
Step-by-step explanation:
Since the sum of the shorter two sides is greater than the larger side.
FIRST ANSWER GETS BRAINLIEST!!!
Which situations can be simulated using this spinner? Select three options. (6 sided spinner)
I believe it is A and C.
There are 6 slots on the wheel, so both the numbers in A and E can be divided/multiplied to fit this criterion. For example, 3 times 2 is 6 (the number of gender slots) and 1 times 2 is two, so two out of 6 art teachers will be female.
I hope this helps!!!
HELP ME NO RANDOM ANSWERS
Answer: A
Step-by-step explanation:
The answer is letter A..
calculate the number of sides of a regular polygon with sum interior angles of 2160°.
Answer:
14 sides
Step-by-step explanation:
The sum of all interior angles of a polygon = (n - 2)180°
2160° = (n - 2)180°
[tex]n - 2 = \frac{2160 \degree}{180 \degree} \\ \\ n - 2 = 12 \\ \\ n = 12 + 2 \\ \\ n = 14[/tex]
Hence, the polygon has 14 sides.
please help asap i’ll give brainliest it's due in 30 min
The hypotenuse = √2 · legs
x = √2 · 5
x = 5√2
PLEASE HELPPP! I'LL GIVE BRAINLEST!
Answer:
if the numbers are together
Step-by-step explanation:
63210 is the correct answer friend
hope it helps
By increasing the down payment from 1,000 to 4,000, how does the total purchasing cost change?
Answer:
300%
Step-by-step explanation:
By increasing the down payment from 1,000 to 4,000, how does the total purchasing cost change?
If down payment is increased from 1000 to 4000
Icecrement = 4000-1000
Increment =3000
Percentage increase = 3000/1000×100
Percentage increase = 3000/10
Percentage increas=300%
what is the range of g?
I’ll Give Brainliest .. SHOW WORK ! Brenda is trying to save money. She learned that her bank would pay her 5% on her money in her savings account if she had at least $1,000 in it. Brenda had $2,345 in her savings account at the end of the year. How much interest did Brenda get from her bank.
A) $117.25
B) $1,172.59
C) $1.72
D) $17.25
Answer:
$117.25
Step-by-step explanation:
To solve, multiply the interest by the total amount in savings.
You can calculate simple interest in a savings account by multiplying the account balance by the interest rate by the time period the money is in the account. Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance).
Brenda get $117.25 as interest from her bank.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Brenda learned that her bank would pay her 5% on her money in her savings account if she had at least $1,000 in it.
Brenda had $2,345 in her savings account.
So, the interest Brenda get
= 2345 x 5/ 100
= 2345 x 0.05
= $117.25
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