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Ivanshal [37]
3 years ago
5

Which of the following statements demonstrates the associative property of multiplication? 4 ∙ (3 ∙ 6) = (4 ∙ 3) ∙ 6 6 ∙ 4 = 4 ∙

6 -3 ∙ 1 = -3 2(24) = 2(20 + 4)
What is the answer
Mathematics
1 answer:
torisob [31]3 years ago
6 0

Answer:

4 ∙ (3 ∙ 6) = (4 ∙ 3) ∙ 6

Step-by-step explanation:

The associative property of multiplication states that rearranging the parentheses in an expression will not change the result, as shown.

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Use the following problem to answer questions 8 and 9. A television manufacturer has three locations where it is finally assembl
Nonamiya [84]

Answer:

The probability of finding a non-defective television is 0.9815.

Step-by-step explanation:

We are given that a television manufacturer has three locations where it is finally assembled. Plants A, B, and C supply 65%, 15%, and 20% respectively of the televisions used by the manufacture.

Quality control has determined that 1.5% produced by Plant A are defective, while plants B and C have 2.5% defective products.

Let Probability that Plant A supply televisions = P(A) = 0.65

Probability that Plant B supply televisions = P(B) = 0.15

Probability that Plant C supply televisions = P(C) = 0.20

<em>Also, let D = event that television is defective</em>

Probability that television is defective given that it is supplied by Plant A = P(D/A) = 0.015

Probability that television is defective given that it is supplied by Plant B = P(D/B) = 0.025

Probability that television is defective given that it is supplied by Plant C = P(D/C) = 0.025

<u>Now, to find the probability of finding a non-defective television firstly we will find the probability of a defective television.</u>

<em>Probability of a defective television is given by;</em>

   =  P(A) \times P(D/A) + P(B) \times P(D/B) + P(C) \times P(D/C)  

   =  0.65 \times 0.015 + 0.15 \times 0.025 + 0.20 \times 0.025  

   =  0.00975 + 0.00375 + 0.005

   =  0.0185

Now, <em><u>probability of finding a non-defective television</u></em> = 1 - Pro<em>bability of a defective television</em>

Probability of finding a non-defective television = 1 - 0.0185

                                                                                   = 0.9815

<em>Therefore, the probability of finding a non-defective television is 98.15%.</em>

8 0
3 years ago
Solve for x. Round to the nearest hundredth
PIT_PIT [208]

Given that the length of one leg is 6 and the angle is 40°

The hypotenuse is x.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the trigonometric ratio.

Thus, we have;

cos \ \theta=\frac{adj}{hyp}

Substituting the values, we get;

cos \ 45^{\circ}=\frac{6}{x}

Simplifying, we have;

x=\frac{6}{cos \ 45^{\circ}}

x=\frac{6}{0.766}

Dividing, we get;

x\approx7.83

Therefore, the value of x is 7.83(app.)

Hence, Option A is the correct answer.

3 0
3 years ago
F A taxicab company charges $2.80 plus $0.40 per mile. Carmen paid a fare of $8.80. Enter and solve an equation to find the numb
lisabon 2012 [21]

Answer:

15 miles

Step-by-step explanation:

8.80-2.80=6

6/0.40=15 miles

7 0
3 years ago
Read 2 more answers
You spin the spinner shown below once. Each sector shown has an equal area.
jasenka [17]

Answer:

2/5 or 0.4 in decimal form

Step-by-step explanation:

Only 2 parts out of 5 on the spinner is highlighted.

5 0
3 years ago
F(x)=x^3+6x^2+x^1/2 and g(x)=x^1/2 find f(x)/g(x)
Simora [160]
Assuming your f(x) = x^3 +6x^2 +x^(1/2) and g(x) = x^(1/2), you have
.. f(x)/g(x) = x^(5/2) +6x^(3/2) +1


____
If an exponent has any arithmetic in it, parentheses are needed around it.
6 0
3 years ago
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