How many angles does a dodecagon have

Answers

Answer 1

Answer: $A\ dodecagon\ has\ 12\ angles.\n\nSum\ of\ the\ angles\ is\ (12-2)\cdot 180^0=10\cdot180^0=1800^0$

Answer 2

Answer: A dodecagon has 12 angles. 'Do' means two and 'Deca' means ten. That's how i got it.

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Sarah is twice as old as her youngest brother if the difference between their ages is 15 years how old is her youngest brother

Answers

He is 15 years old.
You would set up a system of equations
S = Sarah
Y = Youngest brother

S = 2Y
S-Y= 15

Substitute 2Y for S
So 2Y-Y= 15
Y= 15
and that's your answer :-)

If f(x) = 2x3 – 2, what is the value of f(2)?

Answers

Answer:

f(2) = 14

Step-by-step explanation:

Step 1: Define

f(x) = 2x³ - 2

f(2) = x = 2

Step 2: Substitute and evaluate

f(2) = 2(2)³ - 2

f(2) = 2(8) - 2

f(2) = 16 - 2

f(2) = 14

Which problem is being modeled on the number line?

Answers

I don’t see a number line but I can help

Answer:

Step-by-step explanation:

Two urns each contain green balls and blue balls. Urn I contains 4 green balls and 6 blue balls, and Urn II contains 6 green balls and 2 blue balls. A ball is drawn at random from each urn. What is the probability that both balls are blue?A. 2/51

B. 3/20

C. 1/10

D.4/153

Answers

Answer: B. $(3)/(20)$

Step-by-step explanation:

Let A be the event that a blue ball is drawn from urn l and let B be the event that a blue ball is drawn from urn ll.

Then P(A)= $\frac{\text{number of blue balls}}{\text{total balls}}$

$=(6)/(10)=(3)/(5)$

and P(B)= $\frac{\text{number of blue balls}}{\text{total balls}}$

$=(2)/(8)=(1)/(4)$

As both the events are independent, thus the probability that both balls are blue = $P(A)*\ P(B)=(3)/(5)*(1)/(4)=(3)/(20)$

2/10+6/8=8/80=1/10

C.1/10

0 What are the solutions to the equation 12. 2d – 71 = 60? d = [ Select and d = [Select ]

Answers

D=65.5

Explanation

2d -71 = 60
+71. +71
Add 71 to both sides

2d/2=131/2

Divide by 2 on both sides

D=65.5

A survey of factories in five northeastern states found that 10% of the 300 workers surveyed were satisfied with the benefits offered by their employers. The margin of error for the population proportion is ± _____%.

Answers

In a survey of factories in five northeastern states found that 10% of the 300 workers surveyed were satisfied with the benefits offered by their employer, the margin of error for the population proportion is ± seventeen (17) or ± 5.67%.

Answer:

Step-by-step explanation:

Given that A survey of factories in five northeastern states found that 10% of the 300 workers surveyed were satisfied with the benefits offered by their employers

i.e. sample size n =300

Sample proportion p = 0.10

q=1-p=0.9

Std error = $\sqrt{(pq)/(n) } =\sqrt{(x0.1(0.9))/(300) } \n=0.01732$

Margin of error at 95% would be

1.96*std error

= 0.0339=3.39%

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