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Vitek1552 [10]
3 years ago
14

Which equation represents a line that passes through (–2, 4) and has a slope of StartFraction 2 Over 5 EndFraction.?

Mathematics
1 answer:
vivado [14]3 years ago
4 0

Answer:

y-4=0.4(x+2)

Step-by-step explanation:

y-y1=m(x-x1)

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Give each rate in miles per hour. Round to the nearest tenth.
bonufazy [111]
The answer is 5.5 mph
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3 years ago
A person recently read that 84% of cat owners are women. How large a sample should the researcher take if she wishes to be 90% c
Lana71 [14]

Answer:

405

Step-by-step explanation:

To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.

n=\frac{(z_{\frac{\alpha }{2} })^{2} *p*q  }{E^2}

The values that are given are p = 0.84 and E = 0.03.

You can solve for the critical value which is equal to the z-score of  (1 - confidence level)/2.  Use the calculator function of invNorm to find the z-score.  The value will given with a negative sign, but you can ignore that.

(1 - 0.9) = 0.1/2 = 0.05

invNorm(0.05, 0, 1) = 1.645

You can also solve for q which is 1 - p.  For this problem q = 1 - 0.84 = 0.16

Plug the values into the equation and solve for n.

n =\frac{(1.645)^2*0.84*0.16}{(0.03)^2}\\n= 404.0997333

Round up to the next number, giving you 405.

6 0
3 years ago
Can anyone help pls two more
Andreas93 [3]

Answer:

I'll explain below, just follow the directions. I can't directly draw it.

Step-by-step explanation:

find the length and the width of a rectangle whose perimeter is 18 ft

2L + 2W = 18

simplify, divide by 2

L + W = 9

L = (9-W)

:

whose area is 20 square feet

L*W = 20

Replace L with (9-W)

 

W(9-W) = 20

-W^2 + 9W - 20 = 0

Multiply by -1, easier to factor

W^2 - 9W + 20

Factors to

(W-4)(W-5) = 0

Two solutions

W = 4 ft is width, then 5 ft is the Length

and

W = 5 ft is the width, then 4 ft

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Y+12=y-20<br> Solve for y
galina1969 [7]
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2 years ago
Jessica started spending more time on
crimeas [40]

Answer:

B. 7.3 %

Step-by-step explanation:

Given:

Initial average grade = 82

Final average grade = 88

Duration for the increase = 3 weeks

Therefore, increase in average grade = Final - Initial = 88 - 82 = 6

Now, percent increase in average grade is given as:

\% \textrm{increase}=\frac{\textrm{Increase}}{\textrm{Initial grade}}\times 100\\\% \textrm{increase}=\frac{6}{82}\times 100\\\% \textrm{increase}=\frac{600}{82}=7.3\%

Therefore, the percent increase in her  average grade over the 3-week  period is 7.3 %.

8 0
3 years ago
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