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3 years ago

Can someone help with this question? $32,000;7%decrease

1 answer:

3 0

To find a decrease using a percentage you:

Original Amount - (Original Amount x Percentage)

So plug in:

32000 - (32000 x 7%) = 32000 - (32000 x 0.07) = 29760

The amount with a 7% decrease is $29,760.

You might be interested in

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

ki77a [65]

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

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=12$ 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:

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

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

5 0

4 years ago

When a scientist conducted a genetics experiments with peas, one sample of offspring consisted of 943 peas, with 717 of them hav

pshichka [43]

Using the normal approximation to the binomial distribution, it is found that:

a) 0.242 = 24.2% probability of getting 717 or more peas with red flowers.

b) Since Z < 2, 717 peas with red flowers is not significantly high.

c) Since 717 peas with red flowers is not a significantly high result, we cannot conclude that the scientist's assumption is wrong.

For each pea, there are only two possible outcomes. Either they have a red flower, or they do not. The probability of a pea having a red flower is independent of any other pea, which means that the binomial distribution is used to solve this question.

Binomial distribution:

Probability of x successes on n trials, with p probability.

Normal distribution:

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.
After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

If Z > 2, the result is considered <u>significantly high</u>.

If $np \geq 10$ and $n(1-p) \geq 10$ , the binomial distribution can be approximated to the normal with:

$\mu = np$

$\sigma = \sqrt{np(1-p)}$

In this problem:

943 peas, thus, $n = 943$
3/4 probability of being red, thus $p = \frac{3}{4} = 0.75$ .

Applying the approximation:

$\mu = np = 943(0.75) = 707.25$

$\sigma = \sqrt{np(1-p)} = \sqrt{943(0.75)(0.25)} = 13.297$

Item a:

Using continuity correction, this probability is $P(X \geq 717 - 0.5) = P(X \geq 716.5)$ , which is <u>1 subtracted by the p-value of Z when X = 716.5</u>.

Then:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{716.5 - 707.25}{13.297}$

$Z = 0.7$

$Z = 0.7$ has a p-value of 0.758.

1 - 0.758 = 0.242

0.242 = 24.2% probability of getting 717 or more peas with red flowers.

Item b:

Since Z < 2, 717 peas with red flowers is not significantly high.

Item c:

Since 717 peas with red flowers is not a significantly high result, we cannot conclude that the scientist's assumption is wrong.

A similar problem is given at brainly.com/question/25212369

6 0

3 years ago

2x+4 what is the value for x

Greeley [361]

Answer:

x = -2

Step-by-step explanation:

2x + 4 = 0

2x = -4

2x/2 = -4/2

x = -2

3 0

3 years ago

Below are five questions from a survey of MBA students. Answers were written in the blank at the left of each question. For each

Vedmedyk [2.9K]

Complete question :

Q11. What is the age of the car you usually drive? (years).

Q12.) About how many times in the past year did you attend formal religious services?

Q13.) How often do you read a daily newspaper? (0 = Never, I = Occasionally, 2 – Regularly).

Q14.) Can you conduct simple transactions in a language other than English? (0 = No. 1 = Yes).

Q15. How often do you exercise (aerobics, running, etc)? (0 = Not at All. 1 Sometimes. 2 = Regularly)

Answer:

Continous, ratio

Discrete, Ratio

Categorical, ordinal

Categorical, nominal

Categorical, ordinal

Step-by-step explanation:

Continous variables usually do have an infute number of values inbetween consecutive integers while discrete numeric variables take up whole number values and has a finite number of values. The

Categorical variables are used for Qualitative variables which takes up labels rather than numeric values.

The measurement scales include ;

Ratio scale used for quantitative variables with a true zero value (that is 0, means there is no value for the variable at that point, on a ratio scale with height variable = 0 then there is no height for the measured point). it allows for mathematical calculation of data values as it has a fixed distance between point.

The interval scale is similar ot the ratio aside that it does not have a true zero value, the zero point only serves as a reference point.

The nominal scale, when numbers are used to depict Qualitative variables, such that there is no rank or order in the label. If labels are 0 and 1 for each options, then one label is not superior or inferior to the other

Ordinal variables on the other hand have a particular order or rank for the Qualitative data represented with numerical values :

Here : for a scale of 1 - 5 ; the magnitude increases from 1 through 5

5 0

3 years ago

Consider the graph of the linear equation 2x - 5y = 10.

Artist 52 [7]

Answer:

y = 2/5x - 2

Step-by-step explanation:

Subtract x to the other side to get -5y = -2x + 10. Divide -2x + 10 by -5 to get the answer.

7 0

3 years ago