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4 years ago

PLEASE HELP!!!

Mathematics

1 answer:

loris [4]4 years ago

4 0

Answer:

B. 1 over 2 to the third power.

Step-by-step explanation:

2^4 * 2^-7

= 2^(4 + -7)

= 2^-3

= 1 / 2^3.

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Tom wants to paint a rectangular wall that measures 16 feet by 9 feet. The wall contains a window with the dimensions shown. If

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A because 16x9=144 and 4x6=24 and 144-24=120

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The perimeter of a rectangle is 42 meters. The length of the rectangle is 3 meters less than twice the width. Find the length of

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The length of the rectangle is 13m

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Suppose a production line operates with a mean filling weight of 16 ounces per container. Since over- or under-filling can be da

miss Akunina [59]

Answer:

From the question we are told that

The population mean is $\mu = 16$

The sample size is n = 30

The sample mean is $\= x = 16.32$

The population standard deviation is $\sigma = 0.8$

The level of significance is $\alpha = 0.10$

Step 1: State hypotheses:

The null hypothesis is $H_o : \mu = 16$

The alternative hypothesis is $H_a : \mu \ne 16$

Step 2: State the test statistic. Since we know the population standard deviation and the sample is large our test statistics is

$t = \frac{ \= x -\mu }{ \frac{\sigma}{ \sqrt{n} } }$

=> $t = \frac{ 16.32 -16 }{ \frac{0.8 }{ \sqrt{30} } }$

=> $t =2.191$

Generally the degree of freedom is mathematically represented as

$df = n - 1$

=> $df = 30 - 1$

=> $df =29$

Step 3: State the critical region(s):

From the student t-distribution table the critical value corresponding to $\alpha = 0.10$ is

$t = 1.311$

Generally the critical regions is mathematically represented as

$- 1.311 < T < 1.311$

Step 4: Conduct the experiment/study:

Generally the from the value obtained we see that the t value is outside the critical region so the decision is [Reject the null hypothesis ]

Step 5: Reach conclusions and state in English:

There is sufficient evidence to show that the filling weight has to be adjusted

Step 6: Calculate the p-value associated with this test. How does this the p-value support your conclusions in Step 5?

From the student t-distribution table the probability value to the right corresponding to $t =2.191$ at a degree of freedom of $df =29$ is

$P( t > 2.191) = 0.0183$

Generally the p-value is mathematically represented as

$p-value = 2 * P( t > 2.191 )$

=> $p-value = 2 * 0.0183$

=> $p-value = 0.0366$

Generally looking at the value obtained we see that $p- value < \alpha$ hence

The decision rule is

Reject the null hypothesis

Step-by-step explanation:

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3 years ago

The hypotenuse of a 45°-45°-90° triangle measures in.

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Answer:

2in

Step-by-step explanation:

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3 years ago

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Mrs. Wheeler had a bowl of M&M’s sitting on her table. Her daughter Lauren told her that she thought there were 100 M&M’

laiz [17]

There was 33.3% error in her calculation.

Step-by-step explanation:

Approx value thought by Lauren = 100

Exact value counted = 75

Percent error = $\frac{|approx-exact|}{exact}*100$

$Percent\ error=\frac{|100-75|}{75}*100\\\\Percent\ error=\frac{|25|}{75}*100\\\\Percent\ error=\frac{2500}{75}\\\\Percent\ error=33.33\%$

Rounding off to nearest tenth;

Percent error = 33.3%

There was 33.3% error in her calculation.

Keywords: percentage, error

Learn more about errors at:

#LearnwithBrainly

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