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LekaFEV [45]
3 years ago
13

What is the solution to this equation? 12(8)^x+1=24

Mathematics
2 answers:
Leto [7]3 years ago
5 0

Answer:

Step-by-step explanation:

aleksandrvk [35]3 years ago
4 0
It should add up to.
x= 0.312866
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(a) A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of 1200 regist
Sladkaya [172]

Answer:

n=9604

Step-by-step explanation:

1) Notation and definitions

X=620 number of people that would vote for the Republican candidate

n=1200 random sample taken

\hat p=\frac{620}{1200}=0.517 estimated proportion of people that would vote for the Republican candidate

p true population proportion of people that would vote for the Republican candidate

Me= 0.01 represent th margin of error.

Confidence =0.95 or 95%

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1- p)}{n}})

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.01 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

The problem says that we need to use \hat p =0.05, and replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.96})^2}=9604  

And rounded we have that n=9604

6 0
3 years ago
Solve for z. z³ = 64 Enter your answer in the box. z =
zlopas [31]

Answer:

z³ = 64

z³=4³

since power is equal, base will be same

z=4

Step-by-step explanation:

6 0
3 years ago
Jay works as a waiter at a restaurant.
ryzh [129]

Answer:

67.33.

Step-by-step explanation:

To figure out the tip, you need to find 20% of $52.60.

0.2×52.6=10.52

You should leave $10.52 for the waiter if you want to leave him exactly 20%.

To figure the tax, you need to find 8% of $52.60.

0.08×52.6=4.208

Next, add them up:

52.6+10.52+4.208=67.328

The total bill, including tax and tip, will be $67.33.

7 0
2 years ago
The art teacher had 1,321 pipe cleaners for a project. She used 477 with the entire fourth grade. A parent donated 2,600 pipe cl
larisa86 [58]

Answer:

3,444

Step-by-step explanation:

The art teacher had 1321 pipe cleaners for a project

She used 477 with the fourth age

A parent donated 2,600 pipe cleaners

Therefore the number of pipe cleaners she have left can be calculated as follows

= 1321-477+2600

= 844 + 2600

= 3,444

4 0
3 years ago
A coach drives 360 miles at a speed of 60mph how long did the journey take
Dimas [21]

Answer:

6 1/2 hours

Step-by-step explanation:

not sure

4 0
3 years ago
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