Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the claim
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 24.2 \ gallons \ per \ year[/tex]
The sample size is n = 101
The sample mean is [tex]\= x = 23.5 \ gallons\ per\ year[/tex]
The standard deviation is [tex]\sigma = 3.2 \ gallons[/tex]
The null hypothesis is [tex]H_o : \mu = 24.2[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 24.2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{ 23.5 - 24.2 }{ \frac{ 3.2}{ \sqrt{ 101} } }[/tex]
=> [tex]z = -2.198[/tex]
From the z table the area under the normal curve to the left corresponding to -2.198 is
[tex]P(Z < -2.198 ) = 0.013975[/tex]
Gnerally the p-value is mathematically represented as
[tex]p-value = 0.013975 * 2[/tex]
=> [tex]p-value = 0.02795[/tex]
From the value obtained we have that [tex]p-value \ < \ \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the claim
Using the Rejection Regions for a z-test method
Generally from the z table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]z_{critical} = \pm 1.96[/tex]
Not we are using [tex]\frac{\alpha }{2}[/tex] because it is a two - tailed test
Now comparing the critical value and the test statistics we see that the
region covered by the test statistics (i.e [tex]2.198 < z < -2.198[/tex]) is greater than the region covered by the critical value (i.e [tex]1.96 < z < -1.96[/tex])
Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the claim
30 is 2/3 of what number
Answer:45
Step-by-step explanation:
Key Word:of
30*2/3 = 45
Answer:
Step-by-step explanation:
let the number be x.
then,
2/3 of x = 30
=> 2/3x = 30
=> x = 30 × 3/2
=> x = 45
so, the required number is 45 .
hope it helps...!!!
Which of the following represents the measures of all angles coterminal with a -220° angle?
O 360 + 140n, for any whole number n
O 360 + 140n, for any integer n
O 140 + 360n, for any whole number n
O 140 + 360n, for any integer n
The measurement of all angles co-terminal with a -220° angle is represented by 140+ 360 n, for any integer number n.
What are Co-terminal angles?These are the angles which shares the same initial line or terminal side. They are obtained by adding or subtracting 360° from the given angles.
Given, angle is -220° then its one positive co-terminal angle= -220°+360 = 140°
So, 140° is a positive co-terminal angle of -220°.
Therefore, co-terminal angle must be the type of 140°+360° n,
Learn more about Co-terminal angles.
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I NEED HELP PLZ ITS FOR MY FINAL
Scott has a bag with 144 pieces of candy in it. He gives his sister 25% of the candy. How many pieces of candy does Scott give his sister?
Answer:
Step-by-step explanation:
Scott has 144 pieces of candy
25% is one 4th
144/4=36
he gives to his sister 36
Answer:
Scott gives his sister 36 peices of candy
Step-by-step explanation:
I need help with this please.
Answer:
CCCC.
Step-by-step explanation:
b) 7p + 6q- 2p + q = ?
[tex]7p + 6q - 2p + q \\ = (7p - 2p) + (6q + q) \\ = 5p + 7q[/tex]
Answer:
5p+7q is the answer
Step-by-step explanation:
Which ratio is larger, 10 to 15 or 14 to 21?
Answer:
I am pretty sure that is it 14 to 21
Step-by-step explanation:
Sorry if i am wrong
Javier teaches yoga classes at his community center. In a 60-minute class last night, he taught 30 poses. Today, he has a 30-minute class. If he teaches at the same rate, how many poses will Javier teach in today's class?
Answer:
15
Step-by-step explanation:
fifteen is half of 30
Which equation can be used to solve for x in the following diagram?
(6z- 15)°
Choose 1 answer.
z= (6z-15)
O z-(6z-15) = 90
O z+(6z- 15) = 90
4 of 7
Answer:
I'm answering this for points
Brandi wants to participate in an after-school program. She has to choose between one art class, three dance classes, bwo gymnastics classes, or three sports casses. She cannot decide, so she writes the name of each class on a slip of paper and draws one slip out of a bag. What is the probability that she does not draw a dance class?
Answer:
Step-by-step explanation:
Its 1/3 just put that it will be right I promise
THE CORRECT ANSWER IS 12 FAVORS!!
Answer:
yes the answer in 12 fpavers
Step-by-step explanation:
wa
what are all values of x for which the series shown converges?
Answer:
One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:
Iaₙ₊₁I < IaₙI
This means that the absolute value of the terms must decrease as n increases.
Then we must have:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}[/tex]
We can write this as:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}[/tex]
If we assume that n is a really big number, then:
n + 1 ≈ 1
And we can write:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}[/tex]
Then we have the inequality
[tex]1 > (x - 2)/3[/tex]
And remember that this must be in absolute value, then we will have that:
-1 < (x - 2)/3 < 1
-3 < x - 2 < 3
-3 + 2 < x < 3 + 2
-1 < x < 5
The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.
Solve the equation.
-5r-1=7r+5
Answer:
r=-1/2
Step-by-step explanation:
(-5*-1/2=2.5)( 2.5-1=1.5) (7x -1/2= -3.5)-3.5+5 =1.5
Which is the best description for the graph?
O The graph is increasing everywhere.
O The graph is decreasing everywhere.
O The graph is increasing, then decreasing.
O The graph is decreasing, then increasing.
A and B are independent events.
PA) = 0.6
P(B) = 0.4
What is P(AB)?
O A. 0.24
B. 0.6
O c.0.4
D. Not enough information
Answer:
not enough information
Answer:
It's 0.6
Step-by-step explanation:
The monthly expenditures on food by single adults in one city are monthly distributed with a mean of $410 and a standard deviation of $70
Answer:
is the whole question asked?
The average combined SAT score for students at Brookstone High was 1000 in 2003, 1100 in 2004, 1210 in 2005, and 1331 in 2006. Predict the SAT score for Brookstone seniors in 2007. Explain your answer.
Solve – 4y – 10 = 4(y - 3)
Answer:
y= 1/4
Step-by-step explanation:
Answer:
y=-7/8
Step-by-step explanation:
-4y-10=4y-3
add 10 on both sides
-4y=4y+7
subtract the four on the right from both sides
-8y=7
divide -8 on both sides
answer: -7/8
Total Cost of Computer Repair = $1,444.50
Shipping = 2 percent of Total Cost
If Sarah wanted to include a 15 percent gratuity, based on the total cost of the computer repair, excluding shipping, how would you find her new total cost?
Answer:
Its D
Step-by-step explanation:
0.02 ($1,444.50)
Answer:
D
Step-by-step explanation:
PLEASE HELP!! IT DUE TODAY! im begging you please help me out
Answer:
11(2r+1)
16(2t+1)
9(4+c)
14(3k+2)
Step-by-step explanation:
no real way to explain besides factor them and take the largest common factor out
Answer:
1) 11(2r+1)
2) 16(2t+1)
3) 9(4+c)
4) 14(3k+2)
Step-by-step explanation:
Factor these expressions, find the GCF and divide the GCF on both the numbers, keep the numbers and put them in parenthesis and put the GCF on the outside of the parthensesis.
question is in the picture pls help me. much appreciated
( Need Help Now!!!!!!) Noelle has four times as many apples in her grocery bag as her friends Dakota and Kylie combined. Dakota has 1 apple in her bag. Noelle has 16 apples in her bag. How many apples does Kylie have in her grocery bag? The equation 4(x + 1) = 16 models this situation. Which choice shows the sequence of operations needed to solve this problem, using both arithmetic and algebra?
Answer:
3 Apples
Step-by-step explanation:
3 + 1 = 4, 4 x 4 = 16 Apples :D
Answer:
The answer is 6 Apples
Step-by-step explanation:
You have to ad 3+2 equals 4 then 4 times 4 is 16 so the answer is 16 apples.
3 + 1 = 4, 4 x 4 = 16 Apples
PLEASE HELPPPP
Find the equation of the linear function represented by the table below in slope-
intercept form.
X
O
1
2
3
4
y
6
14
22
30
38
Answer: y =
Submit Answer
Answer:
yo done so easy
Step-by-step explanation:
A mail carrier travels at 15 miles per hour through a neighborhood. Which table
represents the distance the mail carrier travels in x hours?
2
G
H
0 1 3
yo 16 18
0 24
yo 30 55
x 135
y 15 45 75
x 134
y 15 40 55
Answer:
Step-by-step explanation:
the table is not copied correctly, I assume
the mail carrier will travel a distance of 15x
A salesperson at a jewelry store earns 5% commission each week last week heidi sold $540 worth of jewelry how much did she make in the commission how much did the jewelry store make from her sales
Answer: $27
Step-by-step explanation:
$540x.05=$27
Answer:
Heidi made $27 from commision; And the store made $513 (i had this question my self on Saavas)
Step-by-step explanation:
1. 540x0.05=27
2. 540-27= $513
So the store made 513 dollars and heidi made 27 dollars
Derek weighs 155 pounds and drives a utility vehicle that can carry no more than 220 pounds. He plans to use his utility vehicle to haul blocks to his backyard. Which inequality shows the number of 3 pounds, b, Derek can haul at one time on his utility vehicle
Let g (2) = 22 – 5 and h (2) = 22 +1.
Find (g+h) (2)
Answer:
23 + 17 = 40 :)
what is greater -.89 or .4
Answer:
.89
Step-by-step explanation:
.89 is greater because it is closer to a whole than .4, which makes .89 greater.
The sum of two integers is 9 their difference is 5 what are the 2 integers
Enuncia 5 vectores que pertenecen a un mismo sub espacio
Answer:
what?
Step-by-step explanation: