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jok3333 [9.3K]
3 years ago
7

The table shows how the height of a stack of DVDs depends on the number of DVDs. What is a rule for the height?

Mathematics
2 answers:
eduard3 years ago
6 0
The right option is A.
podryga [215]3 years ago
3 0

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Number of  DVDs    Height

           2                        18

           3                        27

           4                        36

Since there is direct proportion between number of DVDs and height.

We need to find if the number of DVDs is n, then height would be

\dfrac{2}{18}=\dfrac{n}{h}\\\\\dfrac{1}{9}=\dfrac{n}{h}\\\\h=9n

Hence, the rule for the height for n is h = 9n.

Option 'A' is correct.

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Ayo help me please I give u 10 points
slavikrds [6]

Answer:

A and D

Step-by-step explanation:

Moving the line left would be moving it onto the y - axis

Therefore the solution would be any point that starts with 0

So (0, 1), (0, 2), (0, -9), etc.

3 0
3 years ago
Plz help :) will mark brainliest if correct
Vedmedyk [2.9K]

Answer:

1st

Step-by-step explanation:

7 0
3 years ago
Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class wit
vovikov84 [41]

Answer:

Probability that exactly 5 of them have blue eyes is 0.1165.

Step-by-step explanation:

We are given that Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class with 40 students.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 40 students

            r = number of success = exactly 5

           p = probability of success which in our question is % of people

                 having blue eyes, i.e; 8%

<em>LET X = Number of students having blue eyes</em>

So, it means X ~ Binom(n= 40,p=0.08)

Now, Probability that exactly 5 of them have blue eyes is given by = P(X = 5)

        P(X = 5) =  \binom{40}{5}\times 0.08^{5} \times (1-0.08)^{40-5}

                      =  658008 \times 0.08^{5}  \times 0.92^{35}

                      = 0.1165

                

Therefore, Probability that exactly 5 of them have blue eyes is 0.1165.

7 0
3 years ago
Select the correct answer.
Sonja [21]

Answer:

B) 5 + 17i is your answer.

Step-by-step explanation:

In order to write this equation as a complex number in standard form, you must first simplify each term.

<em>Apple the distributive property.</em>

21 - 4i - 1 * 16 - (7i) + 28i

<em>Multiply -1 by 16.</em>

21 - 4i -16 - (7i) + 28i

<em>Multiply 7 by -1.</em>

21 - 4i - 16 - 7i + 28i

<em>Now simplify by adding terms :)</em>

<em>Subtract 16 from 21.</em>

5 - 4i - 7i + 28i

<em>Subtract 7i from -4i.</em>

5 - 11i + 28i

<em>Add -11i and 28i.</em>

= 5 + 17i

5 0
3 years ago
Find the value of the variable and YZ if Y is between X and Z. . XY=6b, YZ=8b, XZ=175.
suter [353]
Hello,

x<y<z (1)
xy=6b (2)
yz=8b (3)
xz=175 (4)

(2)/(3)==>x/z=6/8==>x=3z/4 (5)
(4) and (5)==>3z/4*z=175==>z²=700/3==>z=√(700/3) (6)
(5) and (6)==>x=3/4*√(700/3) (7)

(1) and (7) ==>3/4*√(700/3)<y<√(700/3) (8)
(8)*z==>3/4*√(700/3)*√(700/3)<yz<√(700/3)*√(700/3)
==>175<yz<700/3
 




7 0
3 years ago
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