Although bats are not known for their eyesight, they are able to locate prey (mainly insects) by emitting high-pitched sounds and listening for echoes. A paper gave the following distances (in centimeters) at which a bat first detected a nearby insect. 24 41 25 68 53 83 43 63 56 34 45 A button hyperlink to the SALT program that reads: Use SALT. (a) Calculate the sample mean distance at which the bat first detects an insect. (Round your answer to four decimal places.) 48.6364 cm (b) Calculate the sample variance and standard deviation for this data set. (Round your answers to four decimal places.) Variance Standard deviation

Answer:

What is the range of f(x) = (three-fourths) Superscript x – 4?

* {y | y > –4}

** Left-brace y vertical line y greater-than three-fourths right-brace

*** {y | y < –4} <<<correct

**** Left-brace y vertical line y less-than three-fourths right-brace

Step-by-step explanation:

Edge 2021

Answer:

y = 2x + 6

Step-by-step explanation:

10x - 5y = -30

-5y = -10x - 30

y = 2x + 6

Answer:

The file contains the solution to the question

Answer:

A

Step-by-step explanation:

When you remove the top layer, you lose 9 squares. So now there are only 18 squares left. The length is 3 beacuse, now it is only 3 sqaures long. And it is still 3 wide. The only change is in height as it is now 2 squares high.

I hope this helps!!

Answer:

Step-by-step explanation:

9y - 18 and 18 - 9y are not equivalent because in the first equation 9 is a positive number while in the second equation its a negative number

Answer:

0.2061 = 20.61% probability that the mean of the women will be more than 1.5 points higher than the mean of the men

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Women:

Mean 5, standard deviation 1.5.

Sample of 12.

So

[tex]\mu_{W} = 5[/tex]

[tex]s_{W} = \frac{1.5}{\sqrt{12}} = 0.433[/tex]

Men:

Mean of 4, standard deviation 1.5.

Sample of 12.

So

[tex]\mu_{M} = 4[/tex]

[tex]s_{M} = \frac{1.5}{\sqrt{12}} = 0.433[/tex]

What is the probability that the mean of the women will be more than 1.5 points higher than the mean of the men?

This is:

[tex]P(W - M) \geq 1.5[/tex]

Subtraction:

[tex]\mu_{W-M} = \mu_{W} - \mu_{M} = 5 - 4 = 1[/tex]

[tex]s_{W - M} = \sqrt{s_{W}^2+S_{M}^2} = \sqrt{0.433^2+0.433^2} = 0.6124[/tex]

The probability is 1 subtracted by the pvalue of Z when X = 1.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this distribution

[tex]Z = \frac{X - \mu_{W-M}}{s_{W - M}}[/tex]

[tex]Z = \frac{1.5 - 1}{0.6124}[/tex]

[tex]Z = 0.82[/tex]

[tex]Z = 0.82[/tex] has a pvalue of 0.7939

1 - 0.7939 = 0.2061

0.2061 = 20.61% probability that the mean of the women will be more than 1.5 points higher than the mean of the men

Answer:

m = 0.35

Step-by-step explanation:

Divide 9.45 by 27

Answer:

7 pairs of shoes costs $140

Step-by-step explanation:

80/4 = $20 per pair of shoes

20* 7 = $140

7 pairs of shoes costs $140

Answer: 140$ $80/4 is 20 so the cost for one pair of shoes is 20$ so 20$ times 7 is 140$

Step-by-step explanation:

Answer:

The planning value for the population standard deviation is $3750.

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

95% confidence interval between $39,000 and $54,000.

This means that $39,000 is two standard deviations below the mean, and $54,000 is two standard deviations above the mean. This means that between $39,000 and $54,000 there are four standard deviations. So

[tex]4\sigma = 54000 - 39000[/tex]

[tex]4\sigma = 15000[/tex]

[tex]\sigma = \frac{15000}{4}[/tex]

[tex]\sigma = 3750[/tex]

The planning value for the population standard deviation is $3750.

Answer:

1/2 < 3/4

2/6 > 2/8

Step-by-step explanation:

3/4 is bigger than 1/2 and 2/6 is bigger than 2/8.

Answer: the answer is b

Step-by-step explanation: because open is< or >

The number line which shows all the values of x that make the provided inequality -3x+1<7 true is shown in number line D.

The number line is the way of representation of number and digits in a arranged form to understand the data batter.

The given inequality in the problem is,

[tex]-3x+1 < 7[/tex]

Subtract 1 both side of the equation and solve it further,

[tex]-3x+1-1 < 7-1\\-3x < 6[/tex]

Divide with number 3,

[tex]-x < \dfrac{6}{3}\\-x < 2[/tex]

Change the sign of the inequality by filliping the inequality sign,

[tex]x > -2[/tex]

Here, the inequality is greater than the number negative 2. The value of x is greater than, thus, the arrow will point towards left and there will be open circle. This is shown in the option D.

Thus, the number line which shows all the values of x that make the provided inequality -3x+1<7 true is shown in number line D.

Learn more about the number line here;

https://brainly.com/question/24644930

#SPJ2

Answer:

x=28

Step-by-step explanation:

when the angles are supplementary add them together and set them to 180 after doing so you'll have

4x+2x+12=180

now you combine like terms and then solve for x

Answer:

32 in

Step-by-step explanation:

area is the product of length and width

Answer:

36

Step-by-step explanation:

Answer:

use your instincts

Step-by-step explanation:

trust your gut that is what my idiot dad told me to do

Answer:

A

Step-by-step explanation: its questionable but i think its A

Answer:

1.083

Step-by-step explanation:

Answer:

850g difference

Step-by-step explanation:

1 kilograms is equal to 1000 grams and every 0.1 kilogram is 100, so 1.6 kilograms into grams is 1600 grams. 1600-750=850

Answer:

n=6

Step-by-step explanation:

3n-4=14

Add 4 to both sides;

3n-4+4=14+4

Simplify;

3n=18

Divide both sides by 3

3n/3=18/3

Simplify;

n=6

Answer:

184

Step-by-step explanation:

2*(6*5+6*14+5*14)=184

Answer:

hi, the answer is b

Step-by-step explanation:

i dont know how to explain it but good luck!

<3

Answer:

I really only know second one

So for team a the median is 4

the upper is 5 and the lower is 2

the highest is 8 lowestis 0

The median for b is 8

upper is 9 lower is 6

lowest is 0 highest is 10

It can't be a because they don't have the same median. Team A DOES have a lower median. It is not C. I really am thinking B

Step-by-step explanation:

Answer:

Given that an accounts receivable manager process 200 checks per day with an average processing time of 15 working days, to determine what is the average number of accounts receivable checks being processed in her office, the following calculation must be performed:

200 x 15 = X

3,000 = X

Thus, the average number of accounts receivable checks being processed in her office is 3,000.

In turn, if through information technology she reduces the process time from 15 days to 10 days to 5 days, the advantages and disadvantages of adopting this technology would be less work time and greater processing speed, although in contrast the times of effective work would be saturated.

Answer: 7.2ft

I explanation

Answer:

Option C. 10

Step-by-step explanation:

From the question given above, the following data were obtained:

P = {3}

Q = {10}

PnQ = {5}

(PuQ)ᶜ = {9}

PᶜnQ =?

Next, we shall determine the complement of P (Pᶜ).

Complement of P (Pᶜ) are elements found in the universal set but not found in the set P. The complement of P (Pᶜ) can be obtained as follow:

Universal set (U) = {3,5,10,9}

P = {3}

Pᶜ = {5,10,9}

Finally, we shall determine PᶜnQ. This can be obtained as follow:

Q = {10}

Pᶜ = {5,10,9}

PᶜnQ = Elements common to both Pᶜ and Q.

PᶜnQ = {10}