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3 years ago

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Mathematics

1 answer:

kipiarov [429]3 years ago

7 0

$\frac{5x^{5}-3x^{3}+2x^{2}-x}{x+2}=5x^{4}-10x^{3}+17x^{2}-32x+63- \frac{126}{x+2}$

The coefficient of the x term is -32.

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babunello [35]

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3 years ago

Problem PageQuestion An automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 wer

8_murik_8 [283]

Answer:

Probability that the first vehicle selected is a motorcycle and the second vehicle is a van is (24/187) or 0.1283.

Step-by-step explanation:

We are given that an automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 were vans.

Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles.

As we know that, Probability of any event = $\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}$

Now, Probability that the first vehicle selected is a motorcycle is given by;

= $\frac{\text{Number of motorcycles}}{\text{Total number of vehicles}}$

Here, Number of motorcycles = 16

Total number of vehicles = 16 + 9 + 9 = 34

So, Probability that the first vehicle selected is a motorcycle = $\frac{16}{34}$

Similarly, Probability that the second vehicle is a van is given by;

= $\frac{\text{Number of vans}}{\text{Total number of remaining vehicles}}$

Here, Number of vans = 9

And Total number of remaining vehicles after selecting one motorcycle = 34 - 1 = 33

So, Probability that the second vehicle selected is a van = $\frac{9}{33}$

Therefore, the probability that the first vehicle selected is a motorcycle and the second vehicle is a van = $\frac{16}{34}\times \frac{9}{33}$

= $\frac{24}{187}$ = 0.1283

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3 years ago

Please help!!! ABCD is a square with diagonals intersecting at E. What is the length of BE

Snezhnost [94]

Answer:

$BE = 4\sqrt2$

Step-by-step explanation:

Given

The attached square

Required

Find BE

First, we calculate BD (the diagonal) using Pythagoras theorem.

$BD^2 = BA^2 + AD^2$

Since the shape is a square, then

$BA = AD = 8$

So:

$BD^2 = 8^2 + 8^2$

$BD^2 = 2(8^2)$

Take square roots

$BD = \sqrt{2(8^2)$

$BD = \sqrt{2} * 8$

$BD = 8\sqrt{2}$

BE is half BD.

So:

$BE = \frac{1}{2} * BD$

$BE = \frac{1}{2} * 8\sqrt2$

$BE = 4\sqrt2$

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3 years ago

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ANTONII [103]

i think it's just simply y - 7 ?

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3 years ago

Read 2 more answers

Shameeka sold her hamsters to a pet store. This doubled the number of hamsters in the store. Then the store got six more hamster

nalin [4]

Answer: shameeka sold 20 hamsters to the store.

Step-by-step explanation:

Let x represent the number of hamsters that shameeka sold to the store.

Let y represent the number of hamsters that the pet store had initially.

Shameeka sold her hamsters to a pet store. This doubled the number of hamsters in the store. It means that

x + y = 2y

x = 2y - y

x = y

Then the store got six more hamsters. If the pet store has 46 hamsters now, it means that

2y + 6 = 46

2y = 46 - 6

2y = 40

y = 40/2

y = 20

Since x = y, then

x = 20

5 0

3 years ago