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4 years ago

10

The length of a rectangle is 6 centimeters less than its width. What are the dimensions of the rectangle if it’s area is 112 squ

are centimeters?

1 answer:

grandymaker [24]4 years ago

7 0

The awnser is 2 because you have to divide them

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Four more than the product of a number and 7 is equal to 3

frosja888 [35]

$4 + (x \times 7) = 3$

4 0

3 years ago

Trials in an experiment with a polygraph include 98 results that include 23 cases of wrong results and 75 cases of correct resul

Evgen [1.6K]

Answer:

$z=\frac{0.765 -0.8}{\sqrt{\frac{0.8(1-0.8)}{98}}}=-0.866$

$p_v =P(z$

So the p value obtained was a very high value and using the significance level given $\alpha=0.01$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 1% of significance the proportion of correct cases is not significantly lower than 0.8 or 80%

Step-by-step explanation:

Data given and notation

n=98 represent the random sample taken

X=75 represent the number of correct cases

$\hat p=\frac{75}{98}=0.765$ estimated proportion of correct cases

$p_o=0.8$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

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

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportions is lower than 0.8 or not.:

Null hypothesis: $p \geq 0.8$

Alternative hypothesis: $p < 0.8$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.765 -0.8}{\sqrt{\frac{0.8(1-0.8)}{98}}}=-0.866$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.01$ . The next step would be calculate the p value for this test.

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

$p_v =P(z$

So the p value obtained was a very high value and using the significance level given $\alpha=0.01$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 1% of significance the proportion of correct cases is not significantly lower than 0.8 or 80%

4 0

4 years ago

How do u do this find the recipesent of 3/4 plz help and thanks

Mila [183]

To make the reciprocal of a fraction, swap the numerator and denominator.

The reciprocal of 3/4 is 4/3.

_____

To make the reciprocal of an integer, write it as a fraction, then proceed as above. Example: (reciprocal of 2) = (reciprocal of 2/1) is 1/2.

Not surprisingly, the reciprocal of a number x is written 1/x.

8 0

3 years ago

A farmer has 96 apples to sell at the farmers market. She wants to bag the apples before going. How many ways can the farmer bag

Tcecarenko [31]

Answer and explanation:

Farmer's number of apples = 96 apples

Given that Farmer needs to bag the apples so that there are at least 4 apples in each bag(not less than 4 apples in each bag) and not more than 10 apples in each bag

And also all apples in each bag are equal

We need to find the numbers between 4 and 10(including 4 and 10) that can divide 96 without a remainder

4 can divide 96= 24

5 cannot divide 96 without remainder

6 can divide 96 =16

7 cannot divide 96 without remainder

8 can divide 96=12

9 cannot divide 96 without remainder

10 cannot divide 96 without remainder

From the above we see that the factors of 96 = 4, 6, 8 between 4 and 10

4 apples = 24 bags

6 apples = 16 bags

8 apples = 12 bags

Therefore, there can be 3 possible ways of having equal number of apples in each bag between 4 and 10 apples

8 0

3 years ago

Camila owns a small textile company that produces shirts. On a particular day, Camila has one worker come into the shop to make

Eduardwww [97]

Answer:

$132.00

Step-by-step explanation:

14$ x 8 hours = 112$, 1.25$ x 16 = 20. 112 + 20 =132$. hope this helps.

5 0

3 years ago