3. Suppose college faculty members with the rank of professor at two-year institutions earn an average of $52,500 per year with a standard deviation of $4,000. In an attempt to verify this salary level, a random sample of 60 professors was selected from a personnel database for all two-year institutions in the United States. A. What are the mean and standard deviation of the sampling distribution for n

Answer:

First one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Domain: X<5

Range: f(x)∈ R

Step-by-step explanation:

Answer:

1.3%

Step-by-step explanation:

[tex]\frac{9}{700}[/tex]

9 ÷ 700

0.0129

0.0129 × 100

1.3%

Answer:

90 because it is the mean

Answer: it’s 83%

Step-by-step explanation: you add them up and divide by 3

Answer:

You saved $30

Step-by-step explanation:

20% + 10% = 30%

30% = 0.30

$100 * 0.30 = $30

$100 - $30 = $70

Hope this is helpful

Answer:

(i)

[tex] x \alpha y {3} \\ \frac{x}{y {3} } = k[/tex]

(ii)

[tex] \frac{x}{y {3}^{} } = \frac{x}{y {3}^{} } \\ \frac{32}{ {2}^{3} } = \frac{x}{6 {}^{3} } \\ \frac{32}{8} = \frac{x}{216} \\ x = 864[/tex]

(iii)

[tex] \frac{32}{8} = \frac{108}{y {}^{3} } \\ {y}^{3 } = 27 \\ y = \sqrt[3]{27 } \\ y = 3[/tex]

Answer:

The monthly payments will be $ 36.66, and the finance charge will be $ 100.

Step-by-step explanation:

Since I buy items costing $ 1000 and finance the cost with a fixed installment loan for 30 months at 4% simple interest per year, to determine what is the finance charge and what is my monthly payment, the following calculations must be performed:

1 year = 12 months

30 months / 12 = 2.5 years

(1000 x (1 + (0.04 x 2.5))) / 30 = X

(1000 x (1 + 0.1) / 30 = X

(1000 x 1.1) / 30 = X

1100/30 = X

36,666 = X

Therefore, the monthly payments will be $ 36.66, and the finance charge will be $ 100.

Evaluting the limand directly at x = 0 yields the indeterminate form 0/0, so we have a candidate for L'Hopital's rule. We get

[tex]\displaystyle\lim_{x\to0}\frac{\sqrt{1+x+x^2}-1}{\tan(5x)} = \lim_{x\to0}\frac{\frac{1+2x}{2\sqrt{1+x+x^2}}}{5\sec^2(5x)} = \frac{1+2\times0}{2\sqrt{1+0+0^2}\times5\sec^2(5\times0)} = \boxed{\dfrac{1}{10}}[/tex]

If you don't know about L'Hopital's rule, or are otherwise not allowed to use it, you can instead rely on algebraic manipulation and a well-known limit,

[tex]\displaystyle\lim_{x\to0}\frac{\sin(ax)}{ax}=\lim_{x\to0}\frac{ax}{\sin(ax)}=1[/tex]

where a ≠ 0. We write

[tex]\displaystyle\frac{\sqrt{1+x+x^2}-1}{\tan(5x)} = \frac{5x}{\sin(5x)}\times\frac{\cos(5x)}5\times\frac{\sqrt{1+x+x^2}-1}x[/tex]

The limit of a product is equal to the product of limits:

[tex]\displaystyle\lim_{x\to0}\frac{\sqrt{1+x+x^2}-1}{\tan(5x)} = \left(\lim_{x\to0}\frac{5x}{\sin(5x)}\right)\times\left(\lim_{x\to0}\frac{\cos(5x)}5\right)\times\left(\lim_{x\to0}\frac{\sqrt{1+x+x^2}-1}x\right)[/tex]

The first limit is 1 and the second limit is 1/5. For the remaining limit, multiply through the fraction by the conjugate of the numerator:

[tex]\dfrac{\sqrt{1+x+x^2}-1}x\times\dfrac{\sqrt{1+x+x^2}+1}{\sqrt{1+x+x^2}+1} = \dfrac{\left(\sqrt{1+x+x^2}\right)^2-1^2}{x\left(\sqrt{1+x+x^2}+1\right)} \\\cdots= \dfrac{x+x^2}{x\left(\sqrt{1+x+x^2}+1\right)} \\\cdots= \dfrac{1+x}{\sqrt{1+x+x^2}+1}[/tex]

The remaining limand is continuous at x = 0, and its limit is

[tex]\displaystyle\lim_{x\to0}\frac{1+x}{\sqrt{1+x+x^2}+1}=\frac{1+0}{\sqrt{1+0+0^2}+1}=\frac12[/tex]

and hence the original limit is again 1 × 1/5 × 1/2 = 1/10.

Answer:

a.3.4x

Step-by-step explanation:

A monomial only had one term

mono is the prefix for one

the answer is [tex]x^{2} \sqrt{x} \leq \geq \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \pi x^{2} \sqrt{x} \frac{x}{y} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left \{ {{y=2} \atop {x=2}} \right.[/tex]random but marter than einstein

Answer:

7.85 in³

Step-by-step explanation:

π · r² · h

3.14  · 0.5² · 10

7.85 in³

9514 1404 393

Answer:

  160

Step-by-step explanation:

The problem statement tells us ...

  (# in museum) = 4 × (# waiting)

  (# in museum) = 4 × 40 . . . . . . . . . . . . the number waiting is 40

  # in museum = 160

Answer:                                                                    

14 and 1

Explanation:

14 + 14 + 1 + 1 = 30

14 x 1 = 14

The perimeter is the sum of all 4 sides. Divide the perimeter in half fo the some of one length and one width:

Length + width = 15

Area is length x width

Find 2 numbers that when added equal 15 but when multiplied equal 14

15 + 0 = 15, 15 x 0 = 0

14 + 1 = 15, 14 x 1 = 14

The answer is 14 ft long by 1 ft wide

The answer is 2990.8 yd

Formula for SA of cylinder: 2*pi*r*h+2*pi*r^2

Formula for radius: diameter/2

Plug the radius, 17, height, 11, and pi, 3.14, into the formula above.

= 2990.8 yd

Answer:

Step-by-step explanation:

It's 5

Answer:

10

Step-by-step explanation:

( 1 / 20 ) x ( 1 / 8 ) x 1600

= ( 1 / 20 x 8 ) x 1600

= ( 1 / 160 ) x 1600

= 1600 / 160

Answer:10

Step-by-step explanation:

1/20 x 1/8 x 1600 = 10

= 10

Answer:

126 cubic cm

Step-by-step explanation:

6 x 7 x 2 = 84

2 x 3 x 7 = 42

84 + 42 = 126

(i separated the shape to two rectangular prisms)

Answer:

David had x amount of M&M's. He then ate 15 of them for snack. Now David only has 35 M&M's left. How many M&M's did David have in the beginning?

Step-by-step explanation:

Answer:

X= 20

Step-by-step explanation:

Hannah has 35 marbles. Hannah gives away 15 marbles. How many marbles does Hannah have left? Solve the equation X- 15=35.

Answer: B

Step-by-step explanation:

Answer:

32 Years, 7 Months, 2 Days old

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

The angle in the bottom right is 120

Call is y

y+60 = 180

y = 180-60

y =120

Opposite angles in a parallelogram are equal so the upper left angle is 120

Call the 3x +z = 120

We also know that 2x+90 +z = 180 since it forms a straight line

Subtract 90 from each side

2x+z = 90

Using 3x+z = 120 and 2x+z =90 and subtracting the second equation

3x+z = 120  

-2x-z =-90

------------------

x = 30

Answer:

2590.33

Step-by-step explanation:

...............

Answer:

According to me it should be Option B, 15.31

Hope this helps!

The expected value for the age of a randomly chosen student is,

⇒  15.38

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that:

Total number of students,

⇒ n = 1500,

And, Age : 13, 14, 15, 16, 17, 18

Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01

Now,

We can Calculate the expected value as shown below,

E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01

E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18

E = 15.38

Therefore, The expected value for the age of a randomly chosen student is 15.

To know more about probability:

brainly.com/question/743546

#SPJ7

Answer:

70

Step-by-step explanation:

Tangent Chord Angle = 1/2Intercepted Arc

? = 1/2(140)

? = 70

Answer: if its asking for that angle its 70 cause thats the only one that would fit

Step-by-step explanation:

c. 5/12

Step-by-step explanation:

tan= opposite/adjacent

[tex]{\huge{\underline{\bf{\pink{Hello \: mate \: (◕ᴗ◕✿)}}}}} \\ \\ = > \mathcal\blue{tan \beta = perpendicular \: \div base\: } \\ \\ \mathcal\blue{=>perpendicular = 5 \: } \\ \\\blue{=>Base = 12 \: } \\ \\ \\ \huge\mathfrak\red{=>tan \beta = 5 /12\: } \\ \\ {\huge{\boxed{\sf{\green{✓✓venom✓✓}}}}}[/tex]

Answer:

option D

Step-by-step explanation:

18 1/5 + 22 2/5 +40 1/5

Answer:

Step-by-step explanation:

X * 3^2 +2 = 47

X * 9 + 2 = 47

9X = 47 - 2

9x = 45

x = 45 : 9

X = 5