Two different crews earn different amounts for different hours they work.

HELP PLEASE !!!! a. 7(x + 2) = 3x + 6 b. 5/4x-17=x-8 c. 1/2(16x+5)-3=19-5x

Fantom [35]

A=x= -2 b=x=36 c= x=1.5

3 0

3 years ago

6) On Cupcake Wars, the bakers must fill 1000 cupcake cones in the final challenge!

kupik [55]

Answer:

Don't know the answer to bad for u hahahahahah

Step-by-step explanation: get better

6 0

3 years ago

Li invest money in a savings account. She wants to know the amount of simple interest that she will earn 6 years at 3.75 percent

Sloan [31]

Answer:

<h2>Principal</h2>

Step-by-step explanation:

In Business, the formula for calculating simple interest on an amount of money saved is expressed using the formula below.

Simple Interest = Principal * Rate * Time/100

From the question, the parameters given are the time which is 5 years and the rate at 3.75%. There is no information on the principal and before we can calculate the simple interest that Li will earn, the her principal must be made known. Principal is like the amount she initially saved in her account.

Hence, the additional information that she needs to find the simple interest is her principal.

4 0

4 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

Factor the polynomial FULLY?

Sloan [31]

Step-by-step explanation:

4x²-64

(2x)²-(8)²

a²-b²=(a+b)(a-b)

=(2x+8)(2x-8)

Therefore, the factors are -4 and 4.

4 0

3 years ago

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