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3 years ago

Which function grows at the fastest rate for increasing values of x? g(x)=14x p(x)=12x3+9 f(x)=2x2−x h(x)=3x

1 answer:

5 0

The function that is growing at the fastest rate is p(x) = 12x^3 + 9.

This is a cubic function, meaning that x is raised to the third power. This is the only function that is raised to the third power, so it will increase the fastest.

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A 5 divided by 48 lottery involves choosing 5 of the numbers from 1 through 48 and a 4 divided by 35 lottery involves choosing 4

Anika [276]

Answer:

4/35 lottery is easier to win.

Step-by-step explanation:

For the 5/48 lottery, the winning probability is $\frac{5}{48}$ ≈0.1042

For the 4/35 lottery, the winning probability is $\frac{4}{35}$ ≈ 0.1143

Since $\frac{4}{35}$ > $\frac{5}{48}$ , the lottery where one chooses 4 of the numbers 1 through 35 is easier to win.

5 0

3 years ago

The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0 (Think of these as

bija089 [108]

Answer:

0.477 is the probability that the average score of the 36 golfers was between 70 and 71.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 70

Standard Deviation, σ = 3

Sample size, n = 36

Let the average score of all pro golfers follow a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(score of the 36 golfers was between 70 and 71)

$\text{Standard error of sampling} = \displaystyle\frac{\sigma}{\sqrt{n}} = \frac{3}{\sqrt{36}} = \frac{1}{2}$

$P(70 \leq x \leq 71) = P(\displaystyle\frac{70 - 70}{\frac{3}{\sqrt{36}}} \leq z \leq \displaystyle\frac{71-70}{\frac{3}{\sqrt{36}}}) = P(0 \leq z \leq 2)\\\\= P(z \leq 2) - P(z \leq 0)\\= 0.977 - 0.500 = 0.477= 47.7\%$

$P(70 \leq x \leq 71) = 47.7\%$

0.477 is the probability that the average score of the 36 golfers was between 70 and 71.

8 0

3 years ago

The equation 3s equals 21 can be used to find the number of students s and each van on a field trip how many students are in eac

zubka84 [21]

3s=21
s=7
7 students are in each van.

6 0

3 years ago

What is the solution of the equation (4x + 3)2 = 18?

saveliy_v [14]

Hello!

First of all, let's undo the parentheses.

8x+6=18

Now we subtract 6 from both sides.

8x=12

Finally, we divide both sides by 8.

x=1.5

I hope this helps!

5 0

3 years ago

Starting at home, Omar traveled uphill to the gift store for 30 minutes at just 10 mph. He then traveled back home along the sam

hichkok12 [17]

I guess you want to find the average speed for the whole journey

average speed = distance travelled / time

the distance from home to the shop = speed * time = 0.5*10 = 5 miles

time for travelling back = distance / speed = 5/30 = 1/6 hours

average speed for whole journey = 10 / (1/2 + 1/6) = 10 * 3 / 2 = 15 mph

4 0

3 years ago