A company hired 15 new employees. They want to randomly assign 4 of them to work in the graveyard shift. In how many ways can this assignment be made

Answer:

A. a - 3 ≤ -5

Step-by-step explanation:

Move all terms with a to the right side of the inequality

Answer:

the x terms

Step-by-step explanation:

there is a +x and a -x.

x-x=0,

x will cancel out

Answer:

n＝2

Step-by-step explanation:

2n＝4

n＝2

Answer:

= 2

Step-by-step explanation:

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Answer:

y = x-4

Step-by-step explanation:

y = -x-5

Slope of line is -1.

Slope of perpendicular to line is 1.

Point-slope equation for line of slope 1 that passes through (6,2):

y-2 = 1(x-6)

Rearrange equation to slope-intercept form:

y = 1(x-6) + 2

y = x-4

Answer:

The 90% confidence interval for the mean score of all takers of this test is between 59.92 and 64.08. The lower end is 59.92, and the upper end is 64.08.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.645*\frac{4}{\sqrt{10}} = 2.08[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 62 - 2.08 = 59.92

The upper end of the interval is the sample mean added to M. So it is 62 + 2.08 = 64.08.

The 90% confidence interval for the mean score of all takers of this test is between 59.92 and 64.08. The lower end is 59.92, and the upper end is 64.08.

Answer:

B

Step-by-step explanation:

Answer:

5/96

Step-by-step explanation:

Answer: alo mwen panse ke li ta dwe 3/6

Step-by-step explanation:

ou konnen mwen te u konsa 7 ajoute ke epi pou yo jwenn 10 shawty

The number of chair covers Diane will be able to make is 5.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Length of the fabric = 20 yards

Length of fabric needed for each chair cover = 3(2/5) yards

The number of chair covers that can be made with 20 yards.

= 20 ÷ 3(2/5)

= 20 ÷ 17/5

= 20 x 5/17

= 100/17

=  5.8

= 5

Thus,

The number of chair covers is 5.

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Answer:

27/125

Step-by-step explanation:

Given the decimal value 0.216, we are to express as a fraction in the fofrm of p/q

0.216 = 216/1000

216/1000 = 2 * 108/2 * 500

216/1000 = 108/500

108/500 = 4*27/4*125

108/500 = 27/125

Hence the expression in form p by q is 27/125

Answer: 1.25

Step-by-step explanation: 5 / 4 = 1.25

Answer:

c=36p+36

Step-by-step explanation:

Okay so the cost of the meal without tip is $36. To find the tip, we would multiply p by 36. To find our total (c), we would add this (36p) to the original 36.

In other words:

c=36p+36

(can also be written as c=36(1+p) )

Answer:

Concept: Area

Answer:

D. Marital status of college students at a university.

Step-by-step explanation:

The mean, as a measure, is appropriate when we are dealing with quantitative measures, that is, the measure that we are dealing with is a number.

In this question:

Options A(age), B(number of pages) and C(income) are all quantitative, so the mean is appropriate.

In Option D, the marital status is a qualitative measure(married, dating, single), so the mean is innapropriate, and this is the answer,

Answer:162.9

Step-by-step explanation:I gotchu

Answer:

she would be under $13

Step-by-step explanation:

1.50+1= 2.50+9.28= 11.78 leaving her with a remaining balance off $1.22

Step-by-step explanation:

-3x+2y=-10

-2(-2x+y=-6)

-3x+2y=-10

4x-2y=12

-3x=-10

4x=12

x=2

Answer:

None

Step-by-step explanation:

They are both the same so they would be equivalent

Answer:

they are equal are you ok?

Step-by-step explanation:

Step-by-step explanation:

0.92×10^3

I think it helps you

Answer: m=9

Step-by-step explanation: add 16 to both sides, Which gives you 36.Now you have 4m=36 ,so you divide 4 on both sides which gives you 9 .So it is m=4

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

2x-6 = -2 Add 6 to both sides

2x = -2 + -6

2x = -8 Divide both sides by 2

x = -8/2

x = -4 the answer

Answer:

90

        18(1+4)

          18(5)

           90

Answer:

Question 15: x = 17

Question 16: area = 5610 units

Step-by-step explanation:

Question 15:

The perimeter is the sum of all sides of a triangle.

It is given that the perimeter is 374 units.

[tex]p = 8x - 4 + 9x + 4 + 4x + 17[/tex]

[tex]374 = 8x - 4 + 9x + 4 + 4x + 17[/tex]

Add all the like terms.

[tex]374 = 21x + 17[/tex]

Subtract 17 from both sides.

[tex]357 = 21x[/tex]

Divide by 21 from both sides.

[tex]17 = x[/tex]

Question 16:

The area of a triangle can be found by using the following formula:

[tex]a = \frac{1}{2} bh[/tex]

(where a is the area, b is the base, and h is the height)

Using the value of x you just found previously (17), you can calculate the base and height by substituting 17 with x in their respective equations.

[tex]h = 8x - 4[/tex]

[tex]h = 8(17) - 4[/tex]

[tex]h = 134[/tex]

[tex]b = 4x + 17[/tex]

[tex]b = 4(17) + 17[/tex]

[tex]b = 85[/tex]

Now that you found the base and height, substitute the values, 134 and 75, into the area of a triangle formula.

[tex]a = \frac{1}{2} bh[/tex]

[tex]a = \frac{1}{2} (85)(132)[/tex]

[tex]a = 5610[/tex]

Answer:

It should be easy to complete.

Step-by-step explanation:

1/2

The next four multiples of 1/4 are:

1/2, 3/4, 1, 5/4

A number series is a sequence of numbers that follow a specific pattern or rule. The pattern can be based on a mathematical formula or a logical rule, such as adding or subtracting a fixed amount, multiplying or dividing by a constant, or using a combination of operations.

To find the multiples of 1/4, we can multiply it by whole numbers:

1/4 x 1 = 1/4

1/4 x 2 = 2/4 = 1/2

1/4 x 3 = 3/4

1/4 x 4 = 4/4 = 1 (which is equivalent to 4/4)

Therefore, the next four multiples of 1/4 are:

1/2, 3/4, 1, 5/4.

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Answer:

-3

Step-by-step explanation:

Answer:

D. 112

Step-by-step explanation:

Answer:

if you add 50 and 62 is the same size of value X it's 112

D

Answer:

[tex]CSA = 660cm^2[/tex] --- Curved Surface Area

[tex]TSA = 968cm^2[/tex]  --- Total Surface Area

Step-by-step explanation:

Given

Shape: Cylinder

[tex]h = 15[/tex] -- height

[tex]r = 7[/tex] --- radius

Solving (a): The curved surface area (CSA)

This is calculated as:

[tex]CSA = 2\pi rh[/tex]

This gives:

[tex]CSA = 2 * \frac{22}{7} * 7 * 15[/tex]

[tex]CSA = 2 * 22* 15[/tex]

[tex]CSA = 660cm^2[/tex]

Solving (b): The total surface area (TSA)

This is calculated as:

[tex]TSA = 2\pi r(h + r)[/tex]

This gives:

[tex]TSA = 2 * \frac{22}{7} * 7 * (15 + 7)[/tex]

[tex]TSA = 2 * 22 * (15 + 7)[/tex]

[tex]TSA = 2 * 22 * 22[/tex]

[tex]TSA = 968cm^2[/tex]

Answer:

√ 17

The result can be shown in multiple forms.

Exact Form:

√ 17

Decimal Form:

4.12310562

Step-by-step explanation:

(Use the distance formula to determine the distance between the two points.)

First, substitute the actual values of the points into the distance formula.

Then, just simplify

Don't take my word for it. Hope this helps :)