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levacccp [35]
3 years ago
14

On the coordinate plane below, Point P is located at (2,-3), and point Q is located at (-4,4).

Mathematics
1 answer:
nadezda [96]3 years ago
5 0

Answer:

9

Step-by-step explanation:

We can use the distance formula

d = sqrt (   ( y2-y1)^2 + ( x2-x1) ^2)

d = sqrt (   ( 4- -3)^2 + ( -4 -2) ^2)

   = sqrt (  ( 7^2  + ( -6)^2)

   = sqrt( 49+ 36)

   = sqrt(85)

      9.219544457

Rounding to the nearest whole number

 = 9

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A small theater sold 72 tickets for a play. The ratio of adult tickets to child tickets was 4:1. The ratio of adult tickets to s
Y_Kistochka [10]

Answer:

Adult 36

Children 9

senior 27

Step-by-step explanation:

We have 3 types of tickets as seen from the question;

Adult, children and seniors tickets.

Now, looking at the question critically,

Since the ratio of adults to children and senior citizens stands at 4: a specific value, we can then conclude that the ratio of tickets sold is 4:1:3

where 1 and 3 represents the ratio for the children and seniors respectively

So let’s calculate the individual ratio now.

For the total, we have 4 + 1 + 3 = 8

Thus, for the adults, we have 4/8 * 72 = 36

For the children, we have 1/8 * 72 = 9

For the seniors, we have 3/8 * 72 = 27

3 0
3 years ago
How many solutions does 9 - 5x = 8 - 3x - 1 -2x have?
Burka [1]

Answer:

D) Zero solutions

Step-by-step explanation:

9 - 5x = 8 - 3x - 1 - 2x

9 - 5x = 7 - 5x

9 = 7

Zero solutions

7 0
2 years ago
Solve the inequality: -7y - 3x < 21
SashulF [63]

Answer:

x>  -7/3y -7

Step-by-step explanation: -7y-3x<21

Step 1: Add 7y to both sides.

−3x−7y+7y<21+7y

−3x<7y+21

Step 2: Divide both sides by -3.

-3x/-3 < 7y+21/-3

x>-7/3y -7

7 0
3 years ago
What is y=5x+3 when the x variable is 1
ikadub [295]
The answer is 8 y=8 very easyyyy
3 0
3 years ago
Read 2 more answers
If p = .8 and n = 50, then we can conclude that the sampling distribution of pˆ is approximately a normal distribution
FrozenT [24]

Answer:

Yes we can conclude.

Step-by-step explanation:

The sampling distribution of \hat{p} can be approximated as a Normal Distribution only if:

np and nq are both equal to or greater than 10. i.e.

  • np ≥ 10
  • nq ≥ 10

Both of these conditions must be met in order to approximate the sampling distribution of \hat{p} as Normal Distribution.

From the given data:

n = 50

p = 0.80

q = 1 - p = 1 - 0.80 = 0.20

np = 50(0.80) = 40

nq = 50(0.20) = 10

This  means the conditions that np and nq must be equal to or greater than 10 is being satisfied. So, we can conclude that the sampling distribution of pˆ is approximately a normal distribution

6 0
3 years ago
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