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irakobra [83]
3 years ago
5

Identify the conclusion in a hypothesis test of the following claim and sample data:

Mathematics
1 answer:
Anarel [89]3 years ago
7 0

Answer:

C

Step-by-step explanation:

Firstly, we set up the null and alternative hypothesis as follows;

The null hypothesis is;

H0: μ ≥ 12

The alternative hypothesis is;

Ha : μ < 12

Next step is to calculate the test statistic z

Mathematically;

z = (x - μ )/ σ /√n

= (11.58 - 12) /1.93/√(80

Test statistic z = -1.92

Now we proceed to find the probability value that is equal to the value of the test statistic. We can find this by using the standard normal table or NORMSTD function on excel

P(z < -1.92) = 0.0274

P-value = 0.0274

alpha = 0.05

From the above, we can see that

P-value < alpha

And because of this, we are going to reject the null hypothesis and therefore accept the alternative.

We then conclude that there is sufficient evidence to conclude that "The average battery life (between charges) of this model of tablet is at least 12 hours."

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AveGali [126]

Consider x=0.

The output of the function y=x is y=0.

The output of the function y=x+5 is y=0+5, or y=5.

The value 5 is not 5 less than 0, not 1/5 of 0, and not 5 times 0. Rather, it is 5 more than 0, corresponding to selection ...

... C. Each output of y=x+5 is 5 more than the corresponding output of y=x.

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3 years ago
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750 split in to the ratio 7:8
Alex787 [66]
Given:
total = 750
ratio = 7 : 8

We need to get the ratio of the number to its total

7 + 8 = 15 ; 7/15 and 8/15 is the ratio of the number to its total.

We multiply these ratio to the total of 750

7/15 * 750 = 350
8/15 * 750 = 400

7:8 is equal to 350:400


5 0
3 years ago
A car moves at a speed that allows it to move 45 yards in 5⁄4 of a second. How long will it take a car at the same speed to move
Dimas [21]

First, to make things easier, let's turn 5/4 into a decimal given a second is equal to 1000 milliseconds.

5/4 = 1,25

1,25 * 1000 = 1250 milliseconds = 1.25 seconds


So, we've found that 45 yards can be covered in 1.25 seconds. Now we'll use the rule of 3:

45 - 1.25

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Now we solve:

(80 * 1.25) / 45 = x

100 / 45 = x

2,22... = x


So, according to our answer, 80 yards can be covered in 2,22 seconds, which in fractions would be:

2,22 =\frac{222}{100} = \frac{111}{50}


Hope it helped,


BioTeacher101

7 0
3 years ago
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How do I solve this using the system of equations?
Westkost [7]

Answer:

length: 16 m; width: 13 m

Step-by-step explanation:

Write each of the statements as an equation. You know that the formula for the perimeter is ...

P = 2(L +W)

so one of your equations is this one with the value of P filled in:

• 2L + 2W = 58

The other equation expresses the relation between L and W:

• L = W +3 . . . . . . . . the length is 3 meters greater than the width

There are many ways to solve such a system of equations. Since you have an expression for L, it is convenient to substitute that into the first equation to get ...

2(W+3) +2W = 58

4W +6 = 58 . . . . . . . simplify

4W = 52 . . . . . . . . . . subtract 6

W = 13 . . . . . . . . . . . .divide by 4

We can use the expression for L to find its value:

L = 13 +3 = 16

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Explain how you can solve 8x8 if you know how to multiply with 4 but not how to multiply with 8
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You can add 8, eight times
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