What is the range of g(x) = |x + 3| + 2? A. [-3, ∞) B. (-∞, 2] C. [2, ∞) D. (-∞, ∞)

The probability of observing such an extreme result by chance alone is 0.0124.

To find the P-value for a two-tailed test of hypothesis, we need to first determine the significance level (alpha) of the test. Let's assume a significance level of 0.05, which is a common choice.

Since this is a two-tailed test, we need to find the probability of observing a test statistic as extreme or more extreme than 2.5 in either direction. We can find this probability using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find that the probability of observing a z-score of 2.5 or greater is 0.0062. The probability of observing a z-score of -2.5 or smaller is also 0.0062. Therefore, the P-value for the two-tailed test of hypothesis is:

P-value = 2 * 0.0062

P-value = 0.0124

This means that if the true proportion of business students who have personal computers at home differs from 30%, with a significance level of 0.05, and we obtain a test statistic of 2.5, then the probability of observing such an extreme result by chance alone is 0.0124.

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Answer:

1 pound 3.4 ounces

Step-by-step explanation:

Answer:

Bill: 8 years

Hoang: 13 years

Step-by-step explanation:

Let's say Hoang has been a nurse for H years and Bill has been a nurse for B years.

Hoang has been a nurse for 5 years longer than Bill. This means that B + 5 = H

Next, 3 years ago, she had been there twice as long.

(B-3) and (H-3) represent Bill and Hoang 3 years ago respectively.

(B-3) * 2 = (H-3)

We thus have two equations

B+5 = H

(B-3) * 2 = H-3

Substitute B+5 for H in the second equation

2*B - 6 = B+5-3

2B-6 = B+2

add 6 to both sides to put all the constants on one side

2B = B + 8

subtract B from both sides to isolate the variable

B = 8

H = B+5 = 13

Answer:

78

Step-by-step explanation:

37-71

2538

37003-221

35303

Answer: 2

Step-by-step explanation:

Answer:

You can bowl 3 games.

Step-by-step explanation:

so your starting amount is $9.25.

you must subtract 2.50 from 9.25 for the price of the bowling shoes, which equals 6.75.

then, you divide 6.75 by 2.25 (price of each game) and you get 3 as your answer.

hope this helped you :)

Step-by-step explanation:

1. Ampltiude is 1

The period is

\( \frac{2\pi}{3} \)

is the period

The phase shift is 0

2. The Ampltiude is 2

The period is 2 pi

The phase shift is 1

3. The amplitude is 3

The period is 2 pi/3

The phase shift is -2

4.The amplitude is 2/3

The period is -10pi

The phase shift is 0

5. The Ampltiude is 1

The period is -2 pi

The phase shift is pi

6. The amplitude is 1/4

The period is -4pi

The phase shift is negative 2pi/3

7. The Ampltiude is 3

The period is 4

The phase shift is 8

Answer:

C = 56.52 inches

Step-by-step explanation:

Given the following data;

Diameter, D = 18 inches

Pie, π = 3.14

To find the circumference of the circle;

Mathematically, the circumference of a circle is given by the formula;

Circumference of circle, C = πD

Where, D is the diameter of a circle.

Substituting into the formula, we have;

C = 3.14 * 18

C = 56.52 inches

Answer:

a.56.52

Step-by-step explanation:

It came up for me and i got it right :) hope with helps

Answer:

\( Graph \ in \ attachment . \)

Step-by-step explanation:

The given equation is ,

\(\implies y = 3x - 1 \)

This equation is in slope intercept form , wrt that we have ,

So the graph will paàs from one unit below the y axis , having a slope of 3 . The coordinates at x axis will be (0.33 ,1 )

Refer to the required graph in attachment !

Answer:

20 oranges.

Step-by-step explanation:

If you add 10 and 3 that gives you 13,

now add the 7 and that should give you 20.

To find the area of the combined rectangles, we need the dimensions (length and width) of each rectangle. However, the provided text and numbers do not seem to correspond to a clear description of the rectangles or their dimensions. Could you please provide more specific information or clarify the question?

Answer: Approximately 1.0233 meters

Round this however you need to

====================================================

Work Shown:

Refer to the drawing below.

sin(angle) = opposite/hypotenuse

sin(17) = x/3.5

3.5*sin(17) = x

x = 3.5*sin(17)

x = 1.02330096652958

x = 1.0233

Be sure that your calculator is in degree mode.

So,the value of the 30th percentile of the given data will be =P30=4

The cumulative distribution function of a real-valued random variable X, or simply the distribution function of X, assessed at x, is the likelihood that X will have a value less than or equal to x in probability theory and statistics.

Using the Cumulative Distribution Function to Calculate Probabilities

F(x) is a cumulative distribution function that calculates the likelihood that the random variable X is smaller than or equal to x:

To get the cumulative probability that X is less than or equal to 1, multiply P(X=0) by P(X = 0) by (P=1):

First, we will determine the value of the cumulative probability P(X<=x):

x         f(x)       P(X<=x)

1       0.02          0.02

2       0.01          0.03

3       0.2          0.23

4       0.17           0.4

5       0.39           0.79

6       0.2           0.99

7 0.01 1

30th percentile will be the x value,

below which less than or equal to 30% of the data falls.

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Without evaluating the expressions, the symbol (<, >, =) should be entered in each box to make the number sentences true as follows;

a. 5/8 × 8/4 > 5/8

b. 5/8 × 5/5 = 5/8

c. 5/8 × 2/3 > 5/8.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two or more numerical values and variables in an algebraic equation based on any of the following inequality symbols:

Since the fraction 5/8 is multiplied by the fraction (5/5 = 1), we can reasonably infer and logically deduce that the resulting fraction would be greater.

Since the fraction 5/8 is multiplied by the fraction (8/4 = 2), we can reasonably infer and logically deduce that the resulting fraction would remain the same.

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Answer:

1. 2,772

2.1,071

3.4,641

4. 36,610

5. 4,096

6. 36,270

7. 2,403

8. 3,320

Answer:

C

Step-by-step explanation:

The graph shows how far away he is so he starts walking away and then returns.

Answer: D) cube root of 16

================================================

Explanation:

The rule we use is

\(x^{m/n} = \sqrt[n]{x^m}\)

In this case, x = 4, m = 2 and n = 3.

So,

\(x^{m/n} = \sqrt[n]{x^m}\\\\\\4^{2/3} = \sqrt[3]{4^2}\\\\\\4^{2/3} = \sqrt[3]{16}\\\\\\\)

Showing that the original expression turns into the cube root of 16.

Answer:

https://youtu.be/ssE-HVO4SY4

Answer:

-38y - 19z - 4

Step-by-step explanation:

You meses to multiply the numbers outside the brackets with the values inside.

First you have -2(3y+2) so you multiply -2 with 3y = -6y and then you multiply the -2 with the +2 = -4. So you're left with -6y - 4 - 7z - 4(3z+8y).

Now do the same with the last one, multiply -4 by 3z = -12z, then multiply -4 with +8y = -32y. You're left with -6y-4-7z-12z-32y.

Now we change the order to make it easier and we have -32y-6y-12z-7z-4, we make the subtractions and we get -38y - 19z - 4

If Ms. Devine has more total jeans than Mr. Faretta, then it is possible that Ms. Devine has more Abercrombie jeans than Mr. Faretta.

25 percent of Ms. Devine's jeans and 50 percent of Mr. Faretta's jeans are from Abercrombie.

Let's say the number of jeans Ms. Devine have is x and the number of jeans Mr. Faretta have y number of jeans.

Now, let x = 20 and y = 10

Then, the number of Abercrombie jeans Ms. Devine has will be:

25 % of 30 = ( 25/100 ) × 30 = 25/5 = 7.5

and; the number of Abercrombie jeans Mr. Faretta has will be:

50% of 10 = ( 50/100 ) × 10 = 5

Hence, to conclude if Ms. Devine has more jeans when compared to Mr. Faretta it is possible that Ms. Devine has more Abercrombie jeans than Mr. Faretta.

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Answer:

$33.09

Step-by-step explanation:

hope this helps :)

Answer:

C

Step-by-step explanation:

x + y + 10 = 0 ( subtract x + 10 from both sides )

y = - x - 10 → (1)

x² + y - 2 = 0 → (2)

substitute y = - x - 10 into (2)

x² - x - 10 - 2 = 0

x² - x - 12 = 0 ← in standard form

(x - 4)(x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 4 = 0 ⇒ x = 4

Answer:

y=3x+4

Step-by-step explanation:

Therefore, the GCF is:

Answer:

11 is the answer

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

48 inches square

Answer:

Step-by-step explanation:

Remark

The value of the y can be found by using the Geometric Mean.  To use the said mean, you must compare parts of one triangle to parts of the second triangle. In this case, the small triangle containing boy 4 and y, must be compared to the triangle use y and 12

Formula

This translates to

4 / y = y/12

Explanation. The two triangles y and 4 and y and 12 are similar. The short side on the small right triangle on the left is 4. The second longest side on the same triangle is y.

In the triangle containing y and 12 The short side is y and the second side length is 12. You have to read this a couple of times to get the meaning of the two ratios.

Solution

4/y = y / 12                    Cross multiply

y^2 = 4 * 12

y^2 = 48                       Take the square root of both sides.

√y^2 = √48

y = √2 * 2 * 2 * 2 * 3

y = 2 * 2 * √3

Answer

y = 4√3  

Answer:

y = 4√3 y = 4√3

Step-by-step explanation:

i hope it's help

Answer:

Part B

How does this change in setting affect Miguel? Choose two answers.

A.

Miguel asks his mom if he can transfer to a different middle school.

B.

Miguel becomes a more focused student.

C.

Miguel begins to struggle in his Language Arts class as well.

D.

Miguel makes a new friend.

Step-by-step explanation:

13 friends make up 48.1%

14 friends make 51.8%

51.8-48.1 = 3.7

3.7% decrease