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svet-max [94.6K]
3 years ago
13

Work out the answers to:

Mathematics
1 answer:
const2013 [10]3 years ago
3 0

Answer:

A=-4 B=-8 C=8

Step-by-step explanation:

If you need to check these answers multiply the answer by the second number.

A) -4x-3=12  A negative times a negative is always positive.

B)-8x9=-72 A negative times a positive is a negative.

C) 8x-2=-16 A negative times a positive is a negative.

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Purchasing a bond is like loaning money to the company for interest. True False
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True because, when buying a bond, you are pretty much lending money to the company. 
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If a wall is 12 feet long and has an area of 84 feet squared what is the height?
Dahasolnce [82]

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7 feet

Step-by-step explanation:

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Two cars left the city for a suburb, 480 km away, at the same time. The speed of one of the cars was 20 km/hour greater than the
Alex_Xolod [135]

The speed of both the cars are 80km/h and 60km/h

<u>Step-by-step explanation:</u>

Let the speed of one car be 'a' and the speed of other car be 'b'.

The total distance (d) = 480km

It is given that the speed of one car is 20km/h faster than the other.

 We can write,

       a = b+20

The slower car takes 2 hrs more to reach the suburb than the other car.

Let the time taken by the fastest car be t

Speed = distance/time

So,

a = 480/ t

b = 480/(t+2)

We got the values of a and b.

a = b+20

480/t = (480/(t+2))  + 20

Taking LCM on the right side.

480/t = (480 + 20t + 40) / (t+2)

480(t+2) = (480+20t+40) t

480t + 960 = 480t + 20t(t) + 40t

20t(t) + 40t - 960 = 0

Divide the whole equation by 20 to simplify the equation.

t(t) + 2t - 48 = 0

Solve the quadratic equation by splitting the middle terms.

t(t) + 8t - 6t - 48 = 0

t(t + 8) - 6(t + 8) = 0

(t- 6) (t+8) =0

t = 6 (or) -8

t is time and cannot be negative. So t= 6hrs

a = 480/t

a = 480/ 6 = 80

the speed of the fastest car is 80km/hr

a = b + 20

b = a - 20

b = 80 - 20

b = 60km/h

4 0
3 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Simplify the expres
Alina [70]
<span>=-32x+20+33x+26
=x+46
The answer is x+46. This question can be answered by the distributive property and remembering the positive and negative multiplication rules.

</span>
7 0
3 years ago
Identify the expression for calculating the mean of a binomial distribution
TEA [102]

Option C: np is the expression used for calculating the mean of a binomial distribution.

Explanation:

From the options, we need to determine the expression that is used for calculating the mean of a binomial distribution.

<u>Option A: npq</u>

The variance of the binomial distribution can be calculated using the expression npq.

Hence, Option A is not the correct answer.

<u>Option B: </u>\sqrt{npq}<u></u>

The standard deviation of the binomial distribution can be calculated using the expression \sqrt{npq}

Hence, Option B is not the correct answer.

<u>Option C: np</u>

The mean of the binomial distribution can be calculated using the expression np

Hence, Option C is the correct answer.

<u>Option D</u>: \sum\left[x^{2} \cdot P(x)\right]-\mu^{2}

The mean of the binomial distribution cannot be determined using the expression \sum\left[x^{2} \cdot P(x)\right]-\mu^{2}

Hence, Option D is not the correct answer.

8 0
4 years ago
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