42 42 52 53 58 58 61 what is the mean

Answer: 43/75 chance

Step-by-step explanation:

total number of coins:

15 + 28 + 12 + 20 = 75

total number of coins that arent quarters or dimes:

15 + 28 = 43

so the probability would be 43/75, which is not simplifiable

Answer:

Elevation of the giant spider = -800 feetThat means depth of a giant spider below the surface of ocean = 800 feetElevation of the Atlantic wolfish = -300 feetIt shows depth of the Atlantic wolfish below the surface of the ocean = 300 feetNegative notation shows the distances below the surface of the ocean.Therefore, (Giant spider crab) tend to be farther from the surface of the ocean than (Atlantic wolfish.)

Step-by-step explanation:

Answer:

12.66

Step-by-step explanation: 38 divided by 3

Equals That.

Answer:

Step-by-step explanation:

3  3

3  1

3  2

3  4

3  5

3  6

1   3

2  3

4  3

5  3

6  3

B

The number of favorable outcomes is 11 The probability of getting one of those outcomes is 11/36 . So the fraction you want is 11/36

C. In 100 throws, the outcome should be about 11/36 * 100 or about 31. That is too close to call. I'm going to try it with a million times and see what happens.

If I run this question a million times, I get 0.305 something. 100 is too small a sample to tell. I would expect it to be less than 34 times. If you run the simulation a million times, you get an answer that is very accurate to 3 places.

Even with a hundred times, you are going to get 34 or more very infrequently.

Answer:

That is correct.

Step-by-step explanation:

x - y = 6

2 - (- 4) = 6

2 + 4 = 6

9514 1404 393

Answer:

  1/2,972,033,482,752

Step-by-step explanation:

If you must do this with pencil and paper, you can do it in a few stages.

  [tex]3\times12^{-12}=\dfrac{3}{12^{12}}=\dfrac{3}{(12^3)^4}=\dfrac{3}{(1728^2)^2}=\dfrac{1}{(1728^2)(576\cdot1728)}\\\\=\dfrac{1}{2985984\cdot995328}=1/(2\,972\,033\,482\,752)[/tex]

__

You may already know, for example from the number of cubic inches in a cubic foot, that 12^3 = 1728. This power of 12 can be used to shorten the computation of the 12th power of 12 using the rules of exponents. The long multiplication working at each stage is shown in the attachments. Please note that the final denominator here has 13 digits, which most calculators will not show. A spreadsheet may be able to give you the full precision.

If you need a decimal fraction, not the one shown, then you can compute 1/0.2972...×10^-13 ≈ 3.3646...×10^-13 as shown in the 4th attachment. You should use at least as many digits in the divisor as you need significant digits in the quotient.

This is tedious to do by hand, but is not out of the question. Is there some reason a calculator cannot be used?

Answer:

1539.4 rounded

Step-by-step explanation:

Have a great day

Using the combination formula, it is found that these two positions can be filled in 780 ways.

The order in which the positions are filled is not important, for example, João and Elisa is the same outcome as Elisa and João, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

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

In this problem, two people are taken from a set of 40, hence the number of ways is given by:

[tex]C_{40,2} = \frac{40!}{2!38!} = 780[/tex]

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Answer:

Linear pair.

Step-by-step explanation:

Answer:

2,574 in.³

Step-by-step explanation:

The shape is a rectangular prism.

volume = height * width * depth

volume = 11 in. * 13 in. * 18 in.

volume = 2,574 in.³

Answer:

I think it's 2

Step-by-step explanation:

Answer:

1/11 is correct.

Step-by-step explanation:

You can see that the 3 is spun 2 times, but we need to know how many times he spun in total.

2 + 3 + 2 + 4 + 5 + 2 + 1 + 3 = 22

2/22 = 1/11

Have a nice day!

9514 1404 393

Answer:

 yes

Step-by-step explanation:

If two angles of one triangle match two angles of another, all three angles must be the same, and the triangles are similar. Here, angles A and D are congruent, and angles C and F are congruent. Hence ΔABC ~ ΔDEF.

Answer:

.55(220-a) + .90(220-a)

Step-by-step explanation:

Answer:

These tables represent a quadratic function with a vertex at (0,-1) what is the average rate of change for the interval from x=7 to x=8?

B.-15

Step-by-step explanation:

The average rate of change from 7 to 8 = -15

The average rate of change of a quadratic function is calculated using:

Rate = (f(b) - f(a))/(b - a)

The interval is from x = 7 to 8.

So, we have:

(a,b) = (7,8)

The equation becomes

Rate = (f(8) - f(7))/(8 - 7)

Evaluate the difference

Rate = (f(8) - f(7))/1

This gives

Rate = f(8) - f(7)

From the table, we have:

Rate from 5 to 6 = -11 where the constant is -2

So, we have:

Rate from 6 to 7 = -11 - 2

Rate from 6 to 7 = -13

Also, we have:

Rate from 7 to 8 = -13 -2

Rate from 7 to 8 = -15

Hence, the average rate of change from 7 to 8 = -15

Read more about average rate of change at:

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Answer:

[tex]\log 8 - \log x + 7\log\sqrt x =\log (8x^{\frac{5}{2}})[/tex]

Step-by-step explanation:

Given

[tex]\log 8 - \log x + 7\log\sqrt x[/tex]

Required

Express as a single expression

We have:

[tex]\log 8 - \log x + 7\log\sqrt x[/tex]

Write 7 as an exponent

[tex]\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log(\sqrt x)^7[/tex]

Rewrite as:

[tex]\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log(x^{\frac{1}{2}})^7[/tex]

[tex]\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log x^\frac{7}{2}[/tex]

Apply quotient and product rule of logarithm

[tex]\log 8 - \log x + 7\log\sqrt x =\log (\frac{8*x^\frac{7}{2}}{x} )[/tex]

Apply law of indices

[tex]\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{7}{2} - 1})[/tex]

Solve exponent

[tex]\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{7-2}{2}})[/tex]

[tex]\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{5}{2}})[/tex]

[tex]\log 8 - \log x + 7\log\sqrt x =\log (8x^{\frac{5}{2}})[/tex]

The probability that a randomly selected person who tested positive for the flu is vaccinated  is 465/2321.

Probability determines the chances that an event would happen. The odds  the event occurs is 1 and the odds that the event does not occur is 0.

The probability that a randomly selected person who tested positive for the flu is vaccinated  = number of people who tested positive and have been vaccinated / total number of people

465/2321

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Answer:

its  465 Over 950 on edge 2022

Step-by-step explanation:

Answer: y=7

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

f(1)=4^1 - 1 = 3

f(4) = 4^4 - 1 = 255

rate of change = [tex]\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

(255 - 3) / (4 - 1) = 252 / 3 = 84

Answer:

2.983

I hope it is helpful to you

The area of the region in the first quadrant bounded on the left and right by the two given graphs is; A: 2.983

We are given the equations;

x = y⁴ + y²  ----(eq 1)

x = 5y   ----(eq 2)

Now, let us put eq 1 into eq 2 to get;

y⁴ + y² = 5y

y⁴ + y² - 5y = 0

Using online roots of polynomial calculator, we have;

y = 0 and 1.516

Thus, the area of the region will be gotten by finding the integral between those two points;

[tex]\int\limits^0_\frac{1.516}{} {y^{4} + y^{2} - 5y} \, dy[/tex]

Integrating this, we have;

[tex]\left[\begin{array}{ccc}y^{4} +y^{2} - 5y\\\\\end{array}\right]^{0}_{1.516}[/tex]

Plugging in the relevant values and subtracting gives;

Area = 2.98276 ≈ 2.983

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Answer: 78 Miles

Step-by-step explanation:

Answer:

The equation of curve is [tex]y = 3\cdot 7.389^{x}[/tex].

Step-by-step explanation:

The exponential growth function is represented by the expression described below:

[tex]y = a\cdot b^{x}[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]a[/tex] - Initial value of [tex]y[/tex].

[tex]b[/tex] - Base.

By deriving (1), we obtain an expression for the slope of the curve:

[tex]y' = a\cdot b^{x} \cdot \ln b[/tex] (2)

If we know that [tex]x = 0[/tex], [tex]y = 3[/tex] and [tex]y' = 6[/tex], then we have the following system of equations:

[tex]a = 3[/tex] (3)

[tex]a\cdot \ln b = 6[/tex] (4)

By (3) in (4):

[tex]3\cdot \ln b = 6[/tex]

[tex]\ln b = 2[/tex]

[tex]b = e^{2}[/tex]

[tex]b = 7.389[/tex]

Therefore, the equation of curve is [tex]y = 3\cdot 7.389^{x}[/tex].

Answer:

0.227 = 22.7% probability that the mean printing speed of the sample is greater than 18.12 ppm.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

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.

Mean of 17.42 ppm and a standard deviation of 3.25 ppm.

This means that [tex]\mu = 17.42, \sigma = 3.25[/tex]

Sample of 12:

This means that [tex]n = 12, s = \frac{3.25}{\sqrt{12}}[/tex]

Find the probability that the mean printing speed of the sample is greater than 18.12 ppm.

This is 1 subtracted by the p-value of Z when X = 18.12.

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

By the Central Limit Theorem

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

[tex]Z = \frac{18.12 - 17.42}{\frac{3.25}{\sqrt{12}}}[/tex]

[tex]Z = 0.75[/tex]

[tex]Z = 0.75[/tex] has a pvalue of 0.773.

1 - 0.773 = 0.227

0.227 = 22.7% probability that the mean printing speed of the sample is greater than 18.12 ppm.

Answer:

Their present ages are:

Step-by-step explanation:

Given that:

To Find:

Let us assume:

After 12 years:

Finding their present ages:

According to the question.

⇒ 3x + 12 = 2(x + 12)

⇒ 3x + 12 = 2x + 24

⇒ 3x - 2x = 24 - 12

⇒ x = 12

Their present ages:

Ages after 12 years:

Answer:

6x^2-17x-14

Step-by-step explanation:

See the steps below:)

Answer:

Step-by-step explanation:

if they are saying  approximately  then y = 3 for the y intercept, and

the slope,  m ,   is   3/4    ( rise / run)

then the equation for this line is

y =  [tex]\frac{3}{4}[/tex] * x + 3

y = 3x/4 + 3

Answer:

I give the crown

if you do

Step-by-step explanation:

Answer:

what does that mean?

Step-by-step explanation:

Answer:

yes it is good luck with your work