Number of College Faculty The number of faculty listed for a variety of private colleges that offer only bachelor’s degrees is listed below. Use these data to construct a frequency distribution with 7 classes, a histogram, a frequency polygon, and an ogive. Discuss the shape of this distribution. What proportion of schools have 180 or more faculty?

Answer:

Step-by-step explanation:

|2i+3j|=√(2²+3²)=√(4+9)=√13

Answer:

Well that whole thing is to the power of 2, so whatever the square root is, it gets multiplied by itself again just to get 111.2, so the solution to that question is 111.2.

Answer:

112

Step-by-step explanation:

Answer:

(1,-4)

Step-by-step explanation:

2x+4y=-14

x-2y=9

2x+4y=-14

2(x-2y)=(9)2

2x+4y=-14

2x-4y=18

Add X

4x=4

X=1

Substitute x into any equation

(1)-2y=9

-2y=8

y=-4

[tex]\displaystyle \large \boldsymbol{} (7 \sqrt[5]{6x-10}) ^2 +\backslash\!\!\!8=\frac{49}{x^{-\tfrac{2}{5} }} +\backslash\!\!\!8 \\\\\\ 49\!\!\!\! \diagup \sqrt[5]{(6x-10)^2} = 49\!\!\!\! \diagup \cdot \sqrt[5]{x^2} \ \ ; \\\\\\ (6x-10)^2=x^2 \\\\ (6x-x-10)(6x+x-10) =0 \Rightarrow x_1=2 \ ; \ x_2=\frac{10}{7 }[/tex]

Answer:

transversal line is line A. parallel lines are B and C. corresponding to angle A is angle D. and alternate angle to E is G.

Answer:

[tex]3\sqrt{7}[/tex] Is correct answer

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

$1.35

Step-by-step explanation:

you multiply $9.00 (9) by 15% (.15). Which gives you 1.35.

Answer:

Step-by-step explanation:

c. (18.5-17)/.9= 1.66666666667= 1.6667

d. .7107

e. .2185

f.  0.675=(x-17)/.9 x= 17.6075

Answer:

70.05 mph

Step-by-step explanation:

A cheetah ran 300 feet in 2.92 seconds. What is the cheetah's average speed in miles per hour

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

(300 ft/2.92 sec)(1 mi/ 5280 ft)(3600 sec/1 hour)

= {300*1*3600 miles)/(2.92*5280*1 hour)

= 91080000 miles/15417.6 hours

= 70.05 mph

Answer:

x = 14

Step-by-step explanation:

The triangle has 2 congruent legs and is isosceles with 2 base angles being congruent , then

5x = 3x + 28 ( subtract 3x from both sides )

2x = 28 ( divide both sides by 2 )

x = 14

Answer:

Its actually 9.4 × 10²

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Consider,

[tex]\rm \longmapsto\:\dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } [/tex]

On taking LCM, we get

[tex]\rm \:  =  \: \dfrac{ {( \sqrt{7} + i \sqrt{3})}^{2} + {( \sqrt{7} - i \sqrt{3})}^{2} }{( \sqrt{7} + i \sqrt{3})( \sqrt{7} - i \sqrt{3})} [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}}} \\ [/tex]

and

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}} \\ [/tex]

So, using these Identities, we get

[tex]\rm \:  =  \: \dfrac{2\bigg[ {( \sqrt{7})}^{2} + {(i \sqrt{3}) }^{2} \bigg]}{ {( \sqrt{7}) }^{2} - {(i \sqrt{3})}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{2(7 + 3 {i}^{2})}{7 - {3i}^{2} } [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1}}} \\ [/tex]

So, using this, we get

[tex]\rm \:  =  \: \dfrac{2(7 - 3)}{7 + 3} [/tex]

[tex]\rm \:  =  \: \dfrac{2 \times 4}{10} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{5} [/tex]

Hence,

[tex] \red{\rm\implies \:\boxed{\sf{ \dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } \: is \: purely \: real}}}[/tex]

Answer:

46

Step-by-step explanation:

1 sum  42+4

Answer:

ITS A ITS A ITS A

ANSWER = A

Step-by-step explanation:

Answer: you got the subtracted wrong.

Step-by-step explanation: 115 - 101 = (14)

you said 13

Answer:

=

Step-by-step explanation:

1. The square root of 4 is 2 because [tex]2^2[/tex] = 4.

2. The cube root of 8 is 2 because [tex]2^3 = 2* 2 * 2[/tex] = 8.

3. 2 and 2 are equal.

Therefore, the correct symbol is =.

Step-by-step explanation:

those are the x values in the graph above

now the slope

first, find the derivative = (-2*x)/(9+(6*x^2)+x^4)+(50*Cos(x))/(3+x^2)+((-100*x)*Sin(x))/(9+(6*x^2)+x^4)

then substitute the X values

the slope at first point=0.00214262528

the slope at secondpoint=0.29521512101

the slope at the third point=0.29521512101

Answer:

13.4

Step-by-step explanation:

4.3+1.6=5.9

5.9+8.4=14.3

14.3-0.9=13.4

Answer:

12 miles per gallon (answer A)

Step-by-step explanation:

300:25

Divide each side by 25:

12:1

12 is your answer

Hope that helps

Answer:

[tex]\sf\longmapsto0.13 miles/hour[/tex]

Step-by-step explanation:

Firstly we have to use the formula to find the miles/hour

[tex]\sf\longmapsto \: Formula:Divide \: the \: speed \: value \: by \: 26.822.[/tex]

[tex]\sf\longmapsto \: 3.5 \div 26.822[/tex]

[tex]\sf\longmapsto \: 0.13 miles/hour[/tex]

Answer:

87w

Step-by-step explanation:

If she has $76 in her accoumt

and receives $11every week

76+11=$87

she would have$87xw in w amount of weeks

Answer:

Step-by-step explanation:

Mira has $76 in her bank account and receives $11 in allowance every week. Write and expression to represent how much money she after w amount of weeks

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

76 + (11w)

Answer:

Because he thought it would make him stand out.

Answer:5

Step-by-step explanation: 4*5=20