Which expression is equivalent to 28 + 12?

What is 1/2 times 6.........

Westkost [7]

Answer:

3

Step-by-step explanation:

3

6 0

3 years ago

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A production line operates with a mean filling weight of 16 ounces per container. Overfilling or underfilling presents a serious

Dominik [7]

Answer:

Part1) $z=\frac{16.32-16}{\frac{0.8}{\sqrt{30}}}=2.191$

$p_v =2*P(Z>2.191)=0.0284$

Readjustment is needed

Part 2) $z=\frac{15.82-16}{\frac{0.8}{\sqrt{30}}}=-1.232$

$z=\frac{15.82-16}{\frac{0.8}{\sqrt{30}}}=-1.232$

$p_v =2*P(Z$

No readjustment is needed

Step-by-step explanation:

Data given and notation

Part 1

$\bar X=16.32$ represent the sample mean

$\sigma=0.8$ represent the population standard deviation

$n=30$ sample size

$\mu_o =16$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to apply a two tailed test.

What are H0 and Ha for this study?

Null hypothesis: $\mu =16$

Alternative hypothesis : $\mu \neq 16$

Compute the test statistic

The statistic for this case is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{16.32-16}{\frac{0.8}{\sqrt{30}}}=2.191$

Give the appropriate conclusion for the test

Since is a two tailed test the p value would be:

$p_v =2*P(Z>2.191)=0.0284$

Using the value of $\alpha =0.05$ we see that $pv$ and we have enough evidence to reject the null hypothesis.

Readjustment is needed

The rejection zone is given by:

$(-\infty ;-1.96) , (1.96;\infty)$

Part 2

$\bar X=15.82$ represent the sample mean

We can replace in formula (1) the info given like this:

$z=\frac{15.82-16}{\frac{0.8}{\sqrt{30}}}=-1.232$

Give the appropriate conclusion for the test

Since is a two tailed test the p value would be:

$p_v =2*P(Z$

Using the value of $\alpha =0.05$ we see that $pv>\alpha$ and we have enough evidence to FAIL to reject the null hypothesis.

No readjustment is needed

The rejection zone is given by:

$(-\infty ;-1.96) , (1.96;\infty)$

What action would you recommend ?

Review the procedure.

Do you reach the same conclusion ?

No we got different conclusions

5 0

4 years ago

A person is on a boat that is traveling at the boat's top speed of 70 knots per hour. Using dimensional analysis with the fact t

Bad White [126]

Can you tell me what is the meaning of dimensional analysis

6 0

3 years ago

Please find the missing ? Explanation need it

uranmaximum [27]

Answer:

the answer is 3.162

Step-by-step explanation:

5 0

3 years ago

Paula, linda and aaron make handmade cards

sergiy2304 [10]

Answer:

Linda makes 72 more handmade cards than Paula

Step-by-step explanation:

First you need to find out how many handmade cards Linda makes by making a proportion.

The first ratio is 3 to 2 and since we are trying to find out how many cards Linda makes, it will be represented by x.

3 to 2 represents how many Linda makes to how many Aaron makes so the second ratio will be x to 72 since that's how many cards Aaron made.

Now you can put it into a proportion:

3/2 = x/72

Next you have to do Cross Product Property to find x

So 3*72 = 216

2*x = 2x

2x = 216

Now divide 2 by itself and then by 216 to find what x equals.

2/2 = 1

216/2 = 108

So Linda makes 108 handmade cards.

Now we need to find how many cards Paula made.

The ratio for how many Paula makes to how many Linda makes is 1 to 3

Since we are trying to figure out how many Paula made we need to represent it with x.

The second ratio will be x to 108 since 108 is how many cards Linda made.

Now you can put it into a proportion:

1/3 = x/108

Then you need to do Cross Product Property to find x

So 1*108 = 108

3*x = 3x

3x = 108

Now we need to divide 3 by itself to isolate x and then divide 3 by 108 to find what it equals.

3/3 = 1

108/3 = 36

So Paula makes 36 handmade cards.

Since the question is asking for how many more does Linda make than Paula you need to subtract 108 and 36.

So 108 - 36 = 72

Linda makes 72 more handmade cards than Paula.

8 0

4 years ago

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