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3 years ago

Which rational expression will complete the equation? 4z^5/7 (?)= z^10/14

1 answer:

7 0

Answer: The rational expression that is needed is z^5/8.

In the problem, we are starting with 4z^5/7 and multiply by something. Then, we have z^10/14.

First, let's deal with the variables. We go from z^5 to z^10, so we had to multiply by z^5.

Second, our fraction went from 4/7 to 1/14, the missing factor would be 1/8 because 4/7 times 1/8 equals 1/14.

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If 28% of students in College are near-sighted, the probability that in a randomly chosen group of 20 College students, exactly

cluponka [151]

Answer: (D) 16%

Step-by-step explanation:

Binomial probability formula :-

$P(x)=^nC_xp^x(1-p)^n-x$ , where n is the sample size , p is population proportion and P(x) is the probability of getting success in x trial.

Given : The proportion of students in College are near-sighted : p= 0.28

Sample size : n= 20

Then, the the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is given by :_

$P(x=4)=^{20}C_4(0.28)^4(1-0.28)^{20-4}\\\\=\dfrac{20!}{4!16!}(0.28)^4(0.72)^{16}\\\\=0.155326604912\approx0.16\%$

Hence, the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is closest to 16%.

7 0

3 years ago

Pls solve the simultaneous equation in the attachment.

siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

$\frac{x}{2}-\frac{y}{5}=1$ ----> equation A

$y-\frac{x}{3}=8$ ----> equation B

Multiply equation A by 10 both sides to remove the fractions

$5x-2y=10$ ----> equation C

isolate the variable y in equation B

$y=\frac{x}{3}+8$ ----> equation D

we have the system of equations

$5x-2y=10$ ----> equation C

$y=\frac{x}{3}+8$ ----> equation D

Solve the system by substitution

substitute equation D in equation C

$5x-2(\frac{x}{3}+8)=10$

solve for x

$5x-\frac{2x}{3}-16=10$

Multiply by 3 both sides

$15x-2x-48=30$

$15x-2x=48+30$

Combine like terms

$13x=78$

$x=6$

Find the value of y

$y=\frac{x}{3}+8$

$y=\frac{6}{3}+8$

$y=10$

The solution is the ordered pair (6,10)

Part b) we have

$xy=21$ ---> equation A

$x+5y=22$ ----> equation B

isolate the variable x in the equation B

$x=22-5y$ ----> equation C

substitute equation C in equation A

$(22-5y)y=21$

solve for y

$22y-5y^2=21$

$5y^2-22y+21=0$

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

Find the values of x

For y=1.4

$x=22-5(1.4)=15$

For y=3

$x=22-5(3)=7$

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

3 0

3 years ago

Robert has a container in the shape of a cube with an edge length of 6.1 cm. What is the volume of the container? Enter your ans

pickupchik [31]

226.981 I think Because you have to multiply 6.1*6.1*6.1

5 0

3 years ago

Ynnette can wash 959595 cars in 555 days. How many cars can Lynnette wash in 111111 days?

gavmur [86]

Answer:

192,110,919

Step-by-step explanation:

You would first need to divide 959595 by 555 which would equal 1729. Then you would need to multiply 1729*111111 which would equal 192,110,919.

Hope this helps and pls do mark me brainliest if you can:)

4 0

3 years ago

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

m_a_m_a [10]

Without rounding to the nearest tenth, it would be 7.28. Rounding it would give you with an answer of 7.3 with rounding.

5 0

3 years ago

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