2d +9= 19 The solution is d =

Mathematics

1 answer:

Novosadov [1.4K]2 years ago

6 0

${\huge{\boxed{\mathbb{QUESTION}}}$

2d +9= 19

The solution is d =

${\huge{\boxed{\mathbb{ANSWER\:WITH\:EXPLANATION}}}$

Hello there, first we can place our equation, which you have stated

$2d+9=19$ , this algebra, in algebra we want to find the exact value of the variable, or have the variable on one side of the equation.

First we can subtract $9$ with both sides of the equation giving us the result of $2d=10$ , this can also be represented as $2\cdot d=10$ , now just divide both sides of the equation by $2$ , our answer is $d=5$ .

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${\huge{\boxed{\mathbb{ANSWER}}}$

${\boxed{d=5}}$

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A marketing researcher wants to find a 96% confidence interval for the mean amount those visitors spend per person per day while

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Answer:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

Step-by-step explanation:

Notation

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$\sigma=12$ represent the population standard deviation

n represent the sample size

ME = 4 the margin of error desired

Solution to the problem

When we create a confidence interval for the mean the margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=1-0.96 =0.04$ . And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got $z_{\alpha/2}=2.054$ , replacing into formula (b) we got: