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3 years ago

Find the measure of an interior and an exterior angle of a regular 46-gon

1 answer:

7 0

For any polygon, the formula of the interior angle is 180 - 360/n where n is the number of sides of the polygon. The exterior angle is the supplementary angle of the interior angle. Hence when n is equal to 46, then interior angle is equal to 172.17 degrees and the exterior is equal to 7.83 degrees.

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A company manufactures a part for which there is a desired weight. There is a tolerance of N%, meaning that the range between mi

aleksandrvk [35]

Answer:

Step-by-step explanation:

(A) Determine what the tolerance is for the desired weight 97

The tolerance N% is equal to 1.5% of 97

1.5/100 × 97 = 1.455

Lower limit = 97 - 1.455 = 95.545

Upper limit = 97 + 1.455 = 98.455

(B) Place the vector values into two groups;

- Variables lower than 97

95.5, -97.2, 96.2, 96.1

- Variables higher than 97

98.2, 100, 99.9, 99.8

1. Value 97 is within the tolerance. As a matter of fact, it is the desired weight.

2. Value 98.2 is within the tolerance

3. Value 95.5 is within the tolerance

4. Value -97.2 is far below the tolerance bracket or lower limit

5. Value 96.2 is within the tolerance

6. Value 100 is outside the tolerance

7. Value 99.9 is outside the tolerance

8. Value 99.8 is outside the tolerance

9. Value 96.1 is within the tolerance

6 0

3 years ago

According to the Behavioral Risk Factor Surveillance System, 58% of all Americans adhere to a sedentary lifestyle (sedentary mea

sammy [17]

Answer:

Step-by-step explanation:

Hello!

The variable is X: number of sedentary people in a sample of 12.

This is a discrete variable with a binomial distribution and the probability of success is p=0.58. To determine if a variable has or not a binomial distribution you have to see if it follows the binomial criteria:

Binomial criteria:

1. The number of observation of the trial is fixed n=12

2. Each observation in the trial is independent, this means that none of the trials will affect the probability of the next trial. The activity habits on each person are independent of the others.

3. The probability of success in the same from one trial to another p=0.58

So X≈ Bi (n;ρ)

a. If you were to take a sample of n=12.

The expected value (mean) is E(X)= n*p= 0.58*12= 6.96

And the Standard deviation:

V(X)= n*p*q= 12*0.58*(1-0.58)= 2.92

√V(X)= 1.71

b. I'll calculate the probability of exactly 10 persons having sedentary habits using the table of cumulative probabilities, to do so, you have to look for the accumulated probability until 10 and subtract the accumulative probability until 9:

P(X=10) = P(X≤10) - P(X≤9)= 0.9859 - 0.9358= 0.050

I hope you have a SUPER day!

8 0

4 years ago

Which of the following statements correctly uses the distributive property?

Anna007 [38]

Answer:

d) 9(-7+6) = 9(-7) + 9(6) is the correct use of Distributive Property.

Step-by-step explanation:

Distributive Property states that form any three expressions A, B and C

1. A( B -C) = AB - AC

2. A (B + C ) = AB + AC

Now, here

a) 0-3(12+5)= -3(12) - (-3)(5)

Solving Left side by distributive property, we get

0-3(12+5) = -3(12) + (-3)(5)

and -3(12) + (-3)(5) ≠ Right Side -3(12) - (-3)(5)

⇒NO CORRECT USE OF DISTRIBUTIVE PROPERTY

b) 7(19 - 8) = 7(19) - 8

Solving Left side by distributive property, we get

7(19 - 8) = 7(19) - 7(8)

and 7(19) - 7(8) ≠ Right Side 7(19) - 8

⇒NO CORRECT USE OF DISTRIBUTIVE PROPERTY

c) -2(15 - 3) = -2(15) + (-2)(3)

Solving Left side by distributive property, we get

-2(15 - 3) = -2(15) - (-2)(3)

and -2(15) - (-2)(3) ≠ Right Side -2(15) + (-2)(3)

⇒NO CORRECT USE OF DISTRIBUTIVE PROPERTY

d) 9(-7+6) = 9(-7) + 9(6)

Solving Left side by distributive property, we get

9(-7+6) = 9(-7) + 9(6)

and 9(-7) + 9(6) = Right Side 9(-7) + 9(6)

⇒ CORRECT USE OF DISTRIBUTIVE PROPERTY

3 0

3 years ago

Ok so I’m the answer but how do I get to that answer can someone please help me I am desperate

Svet_ta [14]

X + (x + 10) = 154
2 x + 10 = 154
2 x = 154-10 = 144
x = 72 (ans)
Not sure if it’s right

7 0

4 years ago

Karen bought a 2300 blower she made a 450 down payment and monthly payments of 93.50 for the next 3 years how much interest did

ElenaW [278]

I did
2300-450=1850

93.50x12=1122
1122x3=3366
3366-1850= 1516

1516 should be the answer

5 0

4 years ago