A vase is shaped like a rectangular prism. It has a base area of 36 square
inches and a height of 10 inches. The vase is filled to the top with water
and emptied into a fish tank. The fish tank is also shaped like a rectangular
prism. How much more water is needed to fill the fish tank?
Vase
Fish Tank
10 in.
10 in.
10 in
36 in
20 in.

Answer:

b. Meaningful because the sample size exceeds 30 and the central limit theorem ensures normality of the sampling distribution of the sample mean.

Step-by-step explanation:

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]

In this question:

Sample of 100, which means that the central limit theorem applies, no matter the distribution of the population. So the correct answer is given by option b.

Answer:

D.The slope of the relationship between first floor square footage and price is more steep for homes near the beach than elsewhere in Tampa

Step-by-step explanation:

We can see from the output that was run in this regression that this variable has a positive coefficient. So the result is going to be interpreted to show an increase. Therefore d is the answer as it shows that these homes which are closer to the beach are steeper compared to those that are in other areas of tampa. It's necessary to always look out for the signs of the coefficient when interpreting a regression result

Answer:

here's the link to the answer

Step-by-step explanation:

WWW.math.com/int.etg

Answer:

Option C, [tex]y = -2x + 7[/tex]  

Step-by-step explanation:

1) Slope-intercept format is represented by the formula [tex]y = mx + b[/tex]. By looking at the options, we can see that all of them follow this format.  

So, first, we can identify which equations have a slope of -2 to narrow down our options. In slope-intercept form, the coefficient of the x-term, or [tex]m[/tex], represents the slope. So, this narrows the answer down to options b and c because they are the only ones that have [tex]m[/tex] as -2.  

2) Next, in order to find which equation is the right answer, we can substitute the x and y values of the given point (4, -1) into both equations, then simplify. Whichever equation results in a true statement must be the answer. Let's try option c first. Substitute 4 for x and -1 for y:

[tex]-1=4(-2)+7\\-1 = -8+7\\-1=-1[/tex]

-1 does equal -1, so this statement is true. Thus, option c must be the answer.

The equation of the straight line will be -

y = -2x + 7

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have an equation of the line that passes through the point (4,-1) and has a slope of -2.

Assume the equation of the line to be -

y = -2x + c

The line passes through the point (4,-1), so we can write -

-1 = -2 x 4 + c

-1 = -8 + c

c = -1 + 8

c = 7

Therefore, the equation of the straight line will be -

y = -2x + 7

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

Answer:

i think 80

Step-by-step explanation:

Answer: Try using calculatorsoup dot com it shows the work for you there, but you need to put in the numbers though obviously.

$114,921 Total P+I (A)?

Step-by-step explanation:

Answer:

x=(-r-5)²

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

D, x = 16

Step-by-step explanation:

-12 = (-3/4) * x

Divide both sides by -3/4.

x = 16

I hope this helps! Feel free to ask any questions!

Answer:

Standard deviation = 0.59

Step-by-step explanation:

Given data → 5.6, 5.2, 4.6, 4.9, 5.7, 6.4

Mean of the given data = [tex]\frac{5.6+5.2+4.6+4.9+5.7+6.4}{6}[/tex]

                                       = 5.4

   Data (x)              (x - mean)            (x - mean)²

     5.6             5.6 - 5.4 = 0.2             (0.2)² = 0.04

     5.2             5.2 - 5.4 = -0.2            (-0.2)² = 0.04

     4.6             4.6 - 5.4 = -0.8            (-0.8)² = 0.64

     4.9             4.9 - 5.4 = -0.5            (-0.5)² = 0.25

     5.7             5.7 - 5.4 = -0.3             (-0.3)² = 0.09

     6.4             6.4 - 5.4 = 1                  (1)² = 1

  N = 6                                                [tex]\sum (x-mean)^2[/tex] = 2.06

Since, Standard deviation = [tex]\sqrt{\frac{\sum (x-mean)^2}{N}}[/tex]

                                           = [tex]\sqrt{\frac{2.06}{6} }[/tex]

                                           = 0.5859

                                           ≈ 0.59

Answer:

4.5 quarts, because one cup is 0.25 quarts

Step-by-step explanation:

A. Standard form because there is only one digit in front of the decimal point.

Answer:

d.16​

Step-by-step explanation:

(2*8)=16

Use Pemdas;

Parenthesis

Exponents

Multiplication

Division

addison

Subtraction

Answe

Step-by-step explanation:

https://brainly.com/question/22473360?answering=true&answeringSource=feedPublic%2FhomePage%2F1

Answer:

The lower interval limit for our 95% confidence interval is of 0.0412.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

We have taken a random sample of 100 observations and observed 10 instances of the characteristic in question.

This means that [tex]n = 100, \pi = \frac{10}{100} = 0.1[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1 - 1.96\sqrt{\frac{0.1*0.9}{100}} = 0.0412[/tex]

The lower interval limit for our 95% confidence interval is of 0.0412.

Answer:

x= - 8

Step-by-step explanation: Are you solving for X if so here is the answer

Answer:

5/11 x 3/4 is 15/44

Step-by-step explanation:

You're welcome :)

Answer:

B

Step-by-step explanation:

Answer:

he can paint 8 chairs

Step-by-step explanation:

he has 78/10 liters of paint he uses 6/10 which makes it 72/10 and each chair needs 9/10 paint 9 times 8=72

Answer:

a) Trials are independent, and there is a fixed number of trials, which means that the binomial probability distribution can be used.

b) 0.000015 = 0.0015% probability that exactly one of the 12 seniors disapproves daily pot smoking

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

a)

For each senior, there are only two possible outcomes. Either they disapprove daily pot smoking, or they do not. The seniors are selected at random, which means that the probability of one disapproving daily pot smoking is independent of other seniors, that is, the trials are independent. There is also a fixed number of trials.

b)

70% disapprove of daily pot smoking, according to a report in Parade, which means that [tex]p = 0.7[/tex]

12 seniors means that [tex]n = 12[/tex]

The probability is P(X = 1).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{12,1}.(0.7)^{1}.(0.3)^{11} = 0.000015[/tex]

0.000015 = 0.0015% probability that exactly one of the 12 seniors disapproves daily pot smoking

Answer:

5( 17+4 )

Step-by-step explanation:

Answer:

put the data in ascending order

not sure if it's correct

Answer:

8 times greater

Step-by-step explanation:

The volume of a crate is calculated by multiplying the length, width, and height together. Let's assume that the original values for these were 2, 2, and 2 inches. We can multiply them together to get the volume of the original crate.

2 * 2 * 2 = 8 [tex]inches^{3}[/tex]

The new crate is double the value of every side, which would be 4, 4, and 4 inches. Let's multiply these values to get the volume of the new crate...

4 * 4* 4 = 64 [tex]inches^{3}[/tex]

Now that we have both volumes we can divide the volume of the new crate by the volume of the old crate to calculate how many times greater the new crate's volume is

64 / 8 = 8 times greater

Answer:

y=4x=0

Step-by-step explanation:

0.75x=4.75x y = 4

0.75x=4.75x

9514 1404 393

Answer:

  (b)  10.5 in

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = 1/3πr²h . . . . . . for radius r and height h

Then the height is ...

  h = 3V/(πr²)

Your cone has a volume V = 199 in³ and radius r = 4.25 in, so the height is ...

  h = 3(199 in³)/(π(4.25 in)²) ≈ 10.52 in

The height of the cone is about 10.5 inches.

Cuales son las fracciones impropias? Si nos demuestras, te podemos ayudar.

Answer:

[tex]Rate = 3[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Average rate of change over [tex]1 \le x \le 3[/tex]

This is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

[tex][a,b] = [1,3][/tex]

[tex][f(a),f(b)] = [-2.4][/tex]

So, we have:

[tex]Rate = \frac{4 - (-2)}{3 - 1}[/tex]

[tex]Rate = \frac{6}{2}[/tex]

[tex]Rate = 3[/tex]