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olga nikolaevna [1]
3 years ago
12

The product of 58 and an unknown number subtracted from 136 is -70, What is the equation for the statement

Mathematics
2 answers:
Damm [24]3 years ago
5 0
It could be
58 * (135-x) = -70
Or
136 - 58 * x = -70
marin [14]3 years ago
3 0
The equation for that statement is 58 * x - 136 = -70
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Determine the sample size needed to construct a 90% confidence interval to estimate the population proportion when p = 0.65 and
WINSTONCH [101]

Answer:

n=170

Step-by-step explanation:

1) Notation and definitions

n random sample taken (variable of interest)

\hat p=0.65 estimated proportion.

p true population

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{\hat p(1-\hat 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 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=\pm 1.64

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 0.06 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)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.65(1-0.65)}{(\frac{0.06}{1.64})^2}=169.968  

And rounded up we have that n=170

6 0
3 years ago
The coffee cup can hold 7/9 of a pint of liquid. If Emily pours 2/3 of a pint of coffee into a cup, how much more milk can she a
Orlov [11]

1/9 pints of milk can be added by a customer

Step-by-step explanation:

We have to subtract simple fractions to find the amount of milk that can be added to a cup of coffee

Given

Total Capacity of a cup = 7/9 pints

Coffee to be added in a cup = 2/3 pints

So in order to find the amount of milk that can be added we have to subtract the amount of coffee from the total capacity of cup.

So,

Hence,

1/9 pints of milk can be added by a customer

Keywords: Fractions, addition

7 0
2 years ago
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each hour the number of bacteria in dr. nall's petri dish tripled what percent is the population compared to the population the
yan [13]
The starting percent is 100%. After one hour, bacteria tripled, so it is 300%.
3 0
3 years ago
Does anyone know this??
HACTEHA [7]
Answer: 0.34

Explanation: First, you add all of the probabilities together to find the total probability when Dr. Green is missing. (You will get 0.66.) Next, you will need to subtract this from 1.00. 1 - 0.66 = 0.34. 0.34 is your final answer.
8 0
3 years ago
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Someone plz help me I will give brainliest !!
JulsSmile [24]

Answer:

I think its 8

Step-by-step explanation:

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