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3 years ago

If you add a negative

Mathematics

1 answer:

creativ13 [48]3 years ago

4 0

Answer:

Then you don't change the sign.

Two like signs become a positive sign.

Two unlike signs become a negative sign.

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Please someone help me!!!! SHOW ALL WORK! ive been stuck on this question for 2 days!! :((((((

Otrada [13]

Step-by-step explanation:

x² + y² − 8x + 10y − 8 = 0

Rearrange:

x² − 8x + y² + 10y = 8

To complete the square, take half of the x and y coefficients, square it, then add the result to both sides.

(-8/2)² = 16

(10/2)² = 25

x² − 8x + 16 + y² + 10y + 25 = 8 + 16 + 25

x² − 8x + 16 + y² + 10y + 25 = 49

Factor the squares:

(x − 4)² + (y + 5)² = 49

The center is (4, -5) and the radius is 7.

6 0

3 years ago

Suppose 40% of the students in a university are baseball players. If a sample of 781 students is selected, what is the probabili

3241004551 [841]

Answer:

$P(p>0.43) = 0.0436$

Step-by-step explanation:

Given

$p = 40\%$ -- proportion of baseball players

$n = 781$ --- selected sample

Required

Determine P(p>43%)

First, calculate the z score using:

$Z = \frac{\^{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

This gives:

$Z = \frac{48\%-40\%}{\sqrt{\frac{40\% *(1 - 40\%)}{781}}}$

Convert % to decimal

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *(1 - 0.40)}{781}}}$

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *0.60}{781}}}$

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.24}{781}}}$

$Z = \frac{0.03}{\sqrt{0.00030729833}}$

$Z = \frac{0.03}{0.01752992669}$

$Z = 1.71$

So:

$P(p>0.43) = P(Z>1.71)$

$P(p>0.43) = 1 - P(Z$

$P(p>0.43) = 1 - 0.9564$

$P(p>0.43) = 0.0436$

5 0

3 years ago

Regina went out for breakfast. The bill came to $7.12. If Regina has a discount coupon for 20%, how much will be taken off the b

PolarNik [594]

I believe $1.42 would be taken off of the bill:))

3 0

3 years ago

Read 2 more answers

If <mac=86 of a pizza and I ate it, how many degrees of pizza did I give to you

Dmitry_Shevchenko [17]

180- 86 = 94

degrees of pizza did I give to you = 94

3 0

3 years ago

HELP PLS Miguel wants to bike a total of 100 miles over the course of one week in the summer. He logs how much he bikes each day

Troyanec [42]

Answer:

15.6 miles needed for Sat. and Sun.

Step-by-step explanation:

100-(total of all the days)=how many miles he needs on Sat. and Sun.

100-84.4=15.6 miles needed

8 0

3 years ago

Read 2 more answers