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2 years ago

7

Two hundred people responded to a survey. Of those who had green eyes, 7 had blonde hair, 9 had brown hair, and 2 had red hair.

Construct a two-day table to display these data. Then identify the least common combination of eye and hair color. Explain.

1 answer:

cestrela7 [59]2 years ago

5 0

Answer:

18

Step-by-step explanation:

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Suppose y varies directly with x, and y = 15 when x = 3. What is y when x = 12?

sveticcg [70]

Answer:

y = 60 when x = 12

Step-by-step explanation:

Direct variation is

y = kx

15 = k3

Divide by 3

15/3 = k

5 =k

y = 5x

Let x = 12

y = 5*12

y = 60

5 0

2 years ago

I need help! I have 0 idea how to get the answer or anything

rjkz [21]

Answer:

2x +110= 180

2x=70

x=35

Step-by-step explanation:

5 0

2 years ago

A boat travels 12 km upstream and back in 1 hour 45 minutes. If the speed of the current is 3 km/h throughout, find the speed of

Elza [17]

Answer:

14.3 km/h to 3 significant figures

Step-by-step explanation:

Let time travelling upstream be t1 hours and downstream = t2 hours.

t1 + t2 = 1.75..........................(1)

Let v be the speed of the boat in still water.

12 / t1 = v - 3.........................(2)

12 / t2 = v + 3........................(3)

From (1) and (3) , substituting for t2:-

12 / (1.75 - t1) = v + 3 ..................(4)

Subtract:- (2) - (4):-

12 / t1 - 12 / (1.75 - t1) = -6

12(1 .75 - t1) - 12t1 = -6t1(1.75 - t1)

21 - 12t1 - 12t1 = -10.5t1 + 6t^2

6t1^2 + 13.5t1 - 21 = 0

Solving this gives t1 = 1.058 hours

Therefore the speed in still water (v) = 12/1.058 + 3 = 14.3 to 3 sig figs

3 0

3 years ago

Prove the divisibility of the following numbers:

ratelena [41]

Make use of prime factorizations:

$16^5+2^{15}=(2^4)^5+2^{15}=2^{20}+2^{15}$

Both terms have a common factor of $2^{15}$ :

$16^5+2^{15}=2^{15}\left(2^5+1\right)=2^{15}\cdot33$

- - -

The second one is not true! We can write

$15^7+5^{13}=(3\cdot5)^7+5^{13}=3^7\cdot5^7+5^{13}$

Both terms have a common factor of $5^7$ :

$15^7+5^{13}=5^7\left(3^7+5^6\right)$

Since $30=5\cdot6$ , and $5\mid5^7$ , we'd still have to show that $5^6(3^7+5^6)$ is a multiple of 6. This is impossible, because $6=3\cdot2$ and there is no multiple of 2 that can be factored out.

4 0

2 years ago

Read 2 more answers

I need help on this question plz answer me

ahrayia [7]

A stem and leaf plot (histogram) shows the mode as the longest list of "leaves." It is the easiest to use for finding mode.

A box-and-whisker plot tells you nothing about relative frequencies.

A scatter plot or line graph would require careful re-interpretation to determine the mode. If the amount of data is large and there are many data values with about the same high frequency, these charts may be unhelpful, too.

8 0

3 years ago