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3 years ago

12

6 friends visited a museum to see the new holograms exhibit. the group paid for admission to the museum and 12 dollars for parki

ng. The total cost of the visit can be represented by $6x+$12. What is the cost of the visit for one person?

1 answer:

sweet-ann [11.9K]3 years ago

7 0

The answer would be x+2 because you divide 6x+12 by the greatest common factor which is 6

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What is the slope of the line passing through the points (3, 3) and (5, 7) ?

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The answer is Positive 1/2

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3 years ago

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There are 96 football players at all levels at Davenport High School. If two-thirds of the players make the honor roll for their

Svetllana [295]

64 players
Reason- 2/3 of 96 = (32 x 2 = 64) telling us how many got on the list

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1 year ago

I’m not sure how to slove this problem it’s a equilateral triangle and I’m trying to find out what the side is equal to.

Tamiku [17]

Answer as a fraction: AB = 127/13 (exact)

Answer in decimal form: AB = 9.76923 (approximate)

Sides AC and BC are the same length as AB.

=====================================================

Work Shown:

AB = (3/2)x+4

AC = (1/5)x+9

These sides are equal to each other since all sides of an equilateral triangle are the same length.

AB = AC

(3/2)x+4 = (1/5)x+9

10*[ (3/2)x+4 ] = 10*[ (1/5)x+9 ] ... see note below

10*(3/2)x + 10*4 = 10*(1/5)x + 10*9

15x + 40 = 2x + 90

15x-2x = 90-40

13x = 50

x = 50/13

Note: I multiplied both sides by the LCD (lowest common denominator) 10 to clear out the fractions.

------------

Once we know what x is, we plug it into the expression for AB

AB = (3/2)x+4

AB = (3/2)*(50/13) + 4

AB = (3*50)/(2*13) + 4

AB = (3*2*25)/(2*13) + 4

AB = (3*25)/(13) + 4

AB = 75/13 + 4

AB = 75/13 + 52/13

AB = (75+52)/13

AB = 127/13 which is exact

AB = 9.76923 which is approximate

Because we have an equilateral triangle, AB = BC = AC.

8 0

3 years ago

What is the y-intercept of the line y + 6 = -4(X - 1.5)

Rudiy27

Answer:

y=0.

y + 6 = -4(X - 1.5)

y+6 = -4x+6

y = mx+b

y=4x

There isn't a b, which is the y intercept, so the y int would be 0

7 0

3 years ago

4. Is rap music more popular among young Indians than among young Asians? A sample survey compared 634 randomly chosen Indians a

bulgar [2K]

Answer:

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap music every day.

Step-by-step explanation:

Given a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.

$p_{1} = \frac{368}{634} =0.580$

It found that 368 of the Indians and 130 Asians listened to rap music every day.

$p_{2} = \frac{130}{567} =0.229$

Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

$p_{1} = p_{2}$

Alternative hypothesis:- $p_{1} \neq p_{2}$

Level of significance α = 0.05

The test of statistic

$z = \frac{p_{1} - p_{2}}{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} }) } } }$

where $p = \frac{n_{1}p_{1} + n_{1}p_{2}}{n_{1}+n_{2}} = \frac{634(0.580)+567(0.229)}{634+567}$

p = 0.414

and q = 1-p = 1- 0.414 =0.586

$Z = \frac{0.580-0.229}{\sqrt{0.414(0.586)(\frac{1}{634} +\frac{1}{567} } } }$

on calculation , we get

z = 0.300 ><1.96 at 95 % level of significance

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

3 0

3 years ago