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3 years ago

Find how many values of X does f(x)=5? Illustrate on the graph.

Mathematics

1 answer:

Fantom [35]3 years ago

3 0

Answer:

Step-by-step explanation:

The question is saying "How many x values are there when y = 5?"

The answer is 2.

When x ≈ 1 and when x = ≈ 2

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A random draw is being designed for 210 participants. A single winner is to be chosen, and all the participants must have an equ

Over [174]

Answer: The correct number of balls is (b) 4.

Step-by-step explanation: Given that a single winner is to be chosen in a random draw designed for 210 participants. Also, there is an equal probability of winning for each participant.

We are using 10 balls, numbered through 0 to 9. We are to find the number of balls which needs to be picked up, regardless of order, so that each of the 210 participants can be assigned a unique set of numbers.

Let 'r' represents the number of balls to be picked up.

Since we are choosing from 10 balls, so we must have

$^{10}C_r=210.$

The value of 'r' can be any one of 0, 1, 2, . . , 10.

Now,

if r = 1, then

$^{10}C_1=\dfrac{10!}{1!(10-1)!}=\dfrac{10!}{1!9!}=\dfrac{10\times 9!}{1\times 9!}=10$

If r = 2, then

$^{10}C_2=\dfrac{10!}{2!(10-2)!}=\dfrac{10!}{2!8!}=\dfrac{10\times 9\times 8!}{2\times 1\times 8!}=45$

If r = 3, then

$^{10}C_3=\dfrac{10!}{3!(10-3)!}=\dfrac{10!}{3!7!}=\dfrac{10\times 9\times 8\times 7!}{3\times 2\times 1\times 7!}=120$

If r = 4, then

$^{10}C_4=\dfrac{10!}{4!(10-4)!}=\dfrac{10!}{4!6!}=\dfrac{10\times 9\times 8\times\times 7\times 6!}{4\times 3\times 2\times 1\times 6!}=210.$

Therefore, we need to pick 4 balls so that each participant can be assigned a unique set of numbers.

Thus, (b) is the correct option.

4 0

4 years ago

Read 2 more answers

While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between

mr_godi [17]

Answer: The expected value of the water depth is 4.5 m.

Step-by-step explanation:

Let x be a random variable which is uniformly distributed in interval [a,b] .

Then the mean of the distribution is ghiven by :-

$E(x)=\dfrac{a+b}{2}$

Given : While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m.

Then, the expected value of the water depth = $\dfrac{2+7}{2}=\dfrac{9}{2}=4.5$

Hence, the expected value of the water depth is 4.5 m.

4 0

3 years ago

Solve for x: y=-3x+5

sweet [91]

Answer:

x= (y-5)/(-3)

Step-by-step explanation:

6 0

3 years ago

Please help will mark brainliest

Alex787 [66]

Answer:

6 and 7

Step-by-step explanation:

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3 years ago

An art teacher had 57 grams of blue clay. She combined it with 31 grams of yellow clay to make green clay. She let students use

tangare [24]

Step-by-step explanation:

Amount of green clay at the start = 57g + 31g = 88g.

Amouny of green clay used = 88g - 18g = 70g.

Hence 70g of green clay was used during the week.

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3 years ago