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Answer: Hi your questions some required details attached below is the required random number table and missing question

Answer : 83, 58, 64, 26, 47, 68, 29, 4, 78

Step-by-step explanation:

The number of 9 faculty members that will be included in the sample will be written considering the fact that the 9 numbers ( first 9 ) are lesser than 88, and also considering the fact that 58 is repeated twice ( in the random number table ). Hence The number of 9 faculty members = 83, 58, 64, 26, 47, 68, 29, 4, 78

Answer:

r = 2

Step-by-step explanation:

2(8r + 5) = 24 + 9r

16r + 10 = 24 + 9r

16r - 9r = 24 - 10

7r = 14

r = 2

Answer:

5 in.

Step-by-step explanation:

An equilateral triangle has 3 equal sides.

So third side is 5 inches long.

Answer:

y = 3x + 5

Step-by-step explanation:

add 6x to each side to get:

2y = 6x + 10

finally, divide each side by 2 to get:

y = 3x + 5

Answer: Y = 3x +5

Step-by-step explanation:

Answer:0

Step-by-step explanation:

0

The probability Matt will choose pepperoni pizza and Ashley will choose a salad is 1/4.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

There is a 75% chance Matt will choose pepperoni pizza

= 75/ 100

= 3/4

and, Ashley chooses a salad which had a chance = 1/3.

As, the events are independent then we know that if two events A and B are independent evets then

P(a B)= P(A) . P(B).

so, the probability is

= 1/3 x 3/4

= 1/4

Learn more about probability here:

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Answer: 2 : 50 pm

Step-by-step explanation:

If Jan took a break at 3:05 pm and she had been jumping rope for 15 minutes before that, to find the time she started jumping rope, subtract 15 from the current time:

= 3:05 - 15

= 2:50 pm

Jan started jumping rope at 2 : 50 pm

Answer:

C

Step-by-step explanation:

a = 1

b = -5

c = 3

(-b ± √b² - 4ac) ÷ 2a

[5 ± √25 - 4(3)] ÷ 2

(5 ± √13) / 2

Answer:

thought i had it but answer is B......

Answer:

Step-by-step explanation:

-12

Answer:

x = 8

Why?

Step-by-step explanation:

2(8) - 6 = 10

16 - 6 = 10

there you go :-)

HOPE IT HELPS

(FROM CROSS)

Answer:

13.0

Step-by-step explanation:

sin(65°) × 14.3 would give u 12.9 then u round it to the 13

Answer:

Step-by-step explanation:

you have to substitute x with -3, so where you see x in the equation you write a -3 and calculate

[tex]\frac{(x-2)(x+9)}{x(x+5)} = \frac{(-3-2)(-3+9)}{-3(-3+5)} = \frac{-5*6}{-3*2} =\frac{-5}{-1} =5[/tex]

Answer:

vertical angle are angles opposite each other where two lines cross .

Answer:

20

Step-by-step explanation:

(16)2+(12)2=

 c2\,\,c^{2}c2

Use the Pythagorean Theorem.

256+144=256+144=256+144=

 c2\,\,c^{2}c2

Simplify.

400=400=400=

 c2\,\,c^{2}c2

Simplify.

±400=\pm\sqrt{400}=±400

​=

 c2\,\,\sqrt{c^{2}}c2

​

Square root both sides.

20=20=20=

 c\,\,cc

Simplify. Ignore negative root, as length must be positive.

Answer:

B

Step-by-step explanation:

Using the graph, we pick a convenient point: (20, 180)

This point means that for 20 hours of work, Vincent is paid 180 dollars. In fraction form, we can write 20hrs/180 dollars. If we simplify the fraction by dividing both the numerator and denominator by 20 we get 1/9 AKA 1hr/9 dollars. So in 1 hour, Vinnie is paid $9.00

Have a good rest of your day

Answer:

x=30

Step-by-step explanation:

10(3x/10) + 10(x/5) = 10(15)

3x + 2x = 150

5x = 150

(5x)÷5 = (150)÷5

x = 30

Answer:

x = 30.

Step-by-step explanation:

3x/10+x/5=15

Multiply through by 10:

3x + 2x = 150

5x = 150

x = 30.

Step-by-step explanation:

11.

Area of rectangle = 408 in²

Length = 3x-2 and width = x

The area of a rectangle is given by :

A = lb

(3x-2)x = 408

x = 12 inch and x = -11.33 in

Neglecting negative value,

The width of rectangle = 12 inch

The length of rectangle = 3x-2 = 3(12)-2 = 34 inch

12.

Base of triangle = 2x+2

Height = x

The area of a triangle is given by :

[tex]A=\dfrac{1}{2}bh\\\\600=\dfrac{1}{2}\times (2x+2)x\\\\600=(x+1)x[/tex]

x = 24 cm and x = -25 cm

Neglecting negative value, x = 24 cm

Base = 2x+2 = 2(24)+2 = 50 cm

Hence, this is the required solution.

Answer:

ill help u but

Step-by-step explanation:

Answer:

I'm not 100% sure but I think c is 55°

Answer: [tex]1.4\times 10^{-6}[/tex]

Step-by-step explanation:

Given

The wavelength of light is 0.0000014 inches

Here, seven digits are followed by a decimal point

To convert it to scientific notation, convert it into a fraction i.e.

[tex]=0.0000014=\dfrac{14}{10,000,000}[/tex]

In the denominator, there are 7 zeroes

[tex]\therefore 0.0000014=\dfrac{14}{10^7}\\\\\Rightarrow 0.0000014=14\times 10^{-7}\\\\\Rightarrow 0.0000014=1.4\times 10^{-6}[/tex]

Answer: For 2 it could be 43 and for 7 it could be 58

Step-by-step explanation:

Answer:

(1.5,6)(15,33) slope=2

Step-by-step explanation:

Answer:

y-2x=3; A(1.5, 6) B(15,33) Slope = 2

Step-by-step explanation:

First thing, you add 2x on both sides and get y=2x+3. Since the equation y=mx+b states that m is the slope, the slope is 2.

2nd step is finding the missing coordinate for a. You plug in 6 as the y in the equation y=2x+3, and then get 2x+3=6. Now it is a simple algrebraic equation and you get x=3/2 or 1.5.

The final step is to solve for B. Using the equation y=2x+3, and substituting in x as 15, you get y=30+3 which equals 33.

I hope this gave you an in depth explanation on solving these problems!

Answer:

f(x) = x

Step-by-step explanation:

example of points on line: (40,40), (45,45), (50,50)

x-values are the same as y-values which means the line is y=x

Answer:

symmetric property

Step-by-step explanation:

The symmetric property states that for any real numbers, a and b,

if a = b then b = a

Answer:

.5

Step-by-step explanation:

3/4 of a mi is equal to 0.75 mi

2/3 of .75 is .5

Answer:

B is correct

Step-by-step explanation:

Answer:

(a) PR = 55.2 cm

(b) RT = 19.7 cm

(c) <RPT = [tex]20.8^{o}[/tex]

Step-by-step explanation:

(a) to determine the value of PR, apply the Pythagoras theorem to PQR.

PQ = 45, and SP = QR = 32. So that;

[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

[tex]/PR/^{2}[/tex] = [tex]45^{2}[/tex] + [tex]32^{2}[/tex]

          = 2025 + 1024

          = 3049

PR = [tex]\sqrt{3049}[/tex]

     = 55.218

PR = 55.2 cm

(b) To determine RT, apply the appropriate trigonometric function to QRT.

Let RT be represented by x, so that;

Sin [tex]38^{o}[/tex] = [tex]\frac{x}{32}[/tex]

x = 32 * Sin [tex]38^{o}[/tex]

  = 32 * 0.6157

x = 19.7024

RT = 19.7 cm

(c) To determine <RPT, let the angle be represented by θ.

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

        = [tex]\frac{RT}{PR}[/tex]

Sin θ = [tex]\frac{19.7024}{55.218}[/tex]

         = 0.3568

θ = [tex]Sin^{-1}[/tex] 0.35568

  = [tex]20.84^{o}[/tex]

Thus, <RPT = [tex]20.8^{o}[/tex]

Answer:

Basketball being held!

Step-by-step explanation:

It's complicated to explain, but I hope this helped! :)

Answer:

5/12

Step-by-step explanation:

because $1 = 100 cents

ratio = 50 cents / ($1.2 x 100) = 5/12

just convert to the same currency

The ratio of 50 cents to $1.20 is [tex]\frac{5}{12}[/tex]

'A ratio can be defined as the comparison between two numbers of the same unit to check how bigger is one number than the other one.

According to the given problem,

Amount in cents = 50 cents

                            = 0.5 dollars

Amount in dollars = $1.2

Ratio = [tex]\frac{0.5}{1.2}[/tex]

        = [tex]\frac{5}{12}[/tex]

Hence, we can conclude, the ratio is [tex]\frac{5}{12}[/tex].

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