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3 years ago

5

Jack picks 3 liters of berries in 8 minutes. Jill picks 4 liters of berries in 10 minutes. Working together, how many berries ca

n they pick in 1 minute?

1 answer:

____ [38]3 years ago

8 0

Answer:

they can pick 27 berry's

Step-by-step explanation:

I think-

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Truetone music company sold 192,200 alternative music downloads. This represents 64% of their total sales. How many total downlo

PtichkaEL [24]

I think it is 300,000 but I’m not sure.

8 0

2 years ago

The volume of a rectangular prism is b3 + 8b2 + 19b + 12 cubic units, and its height is b + 3 units. The area of the base of the

omeli [17]

Given:

The volume of the rectangular prism is

$b^{3}+8 b^{2} +19b+12$ ,

the height is h=(b+3)

1. The volume of a rectangular prism is (base area)*height

also, notice that the volume is a third degree polynomial, the height is a 1st degree polynomial, so the base area must be a 2nd degree polynomial, whose coefficients we don't know yet.
Let this quadratic polynomial be $(mb^{2}+nb+k)$

2

$b^{3}+8 b^{2} +19b+12=(mb^{2}+nb+k)*(b+3)$

notice that $b^{3}$ is the product of the largest 2 terms: $mb^{2}$ and b, so m must be 1

also, notice that 12 is the product of the constants, k and 3

so k*3=12, this means k=4

3
we write the above equality again:

$b^{3}+8 b^{2} +19b+12=(b^{2}+nb+4)*(b+3)$

$(b^{2}+nb+4)(b+3)= b^{3}+3 b^{2} +nb^{2}+3nb+4b+12$

= $= b^{3}+(n+3)b^{2}+(3n+4)b+12$

4
now compare the coefficient with the left side:

$8 b^{2}=(n+3)b^{2}$

8=n+3

n=5

substituting n=5:

the base area is $b^{2}+5b+4$

Answer: $b^{2}+5b+4$

3 0

2 years ago

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round y

tino4ka555 [31]

Answer:

0.8762 or 87.62%

Step-by-step explanation:

Since our mean is μ=14.3 and our standard deviation is σ=3.7. If we're trying to figure out what percentage is P(10 ≤ x ≤ 26) equal to we must first calculate our z values as such:

$z=\frac{x-\mu}{\sigma}$

Our x value ranges from 10 to 26 therefore let x=10 and we obtain:

$z=\frac{10-14.3}{3.7} =-1.16\\$

If we look at our z-table we find that the probability associated with a z value of -1.16 is 0.1230 meaning 12.30%.

Now let's calculate the z value when x = 26 and so:

$z=\frac{26-14.3}{3.7}=3.16\\$

Similarly, we use the z-table again and find that the probability associated with a z value of 3.16 is 0.9992 meaning 99.92%.

Now we want to find the probability in between 10 and 26 so we will now subtract the upper limit minus the lower limit in P(10 ≤ x ≤ 26) therefore:

0.9992 - 0.1230 = 0.8762

or 87.62%

7 0

2 years ago

5.401×10 <br> −1 as a standard form.

zvonat [6]

A negative exponent means to move the decimal point to the left the number of the exponent.

10^-1 you would move the decimal 1 place to the left.

5.401 x 10^-1 = 0.5401

4 0

3 years ago

Read 2 more answers

The test statistic of z=2.08 is obtained when testing the claim that p≠0.611. a. Identify the hypothesis test as being two-tail

krek1111 [17]

Answer:

Following are the solution to the given points:

Step-by-step explanation:

When the two-tailed were testing then:

Null and alternative hypothesis:

$H_0 : p = 0.611\\\\H_a : p \neq 0.611$

Testing the statistics:

$\to z = 2.08\\\\P-value = 0.0375\\\\\alpha = 0.01\\\\0.0375> 0.01\\\\P-value < \alpha\\\\$

therefore, it fails to reject the null hypothesis.

8 0

2 years ago