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2 years ago

13

Eunice has a soccer game at 7:00 P.M. She needs to be there 20 minutes early to warm up for the game, and it takes her 45 minute

s to get to the soccer field. What time should she leave her house?

1 answer:

marta [7]2 years ago

3 0

Answer:

She would need to leave her house at 5:55.

Step-by-step explanation:

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Which of the following are solutions to the equation below?

Natasha2012 [34]

Both A and C would be solutions to the equation.

In order to solve for this you must first get the equation equal to 0.

2x^2+5x+8=6 ----> subtract 6 from both sides
2x^2 + 5x + 2 = 0

Now knowing this we can use the coefficients of each one in descending order of power as a, b and c.

a = 2 (because it is the coefficient to x^2)
b = 5 (because it is the coefficient to x)
c = 2 (because it is the end number)

Now we can plug these values into the quadratic equation.

$\frac{-b +/- \sqrt{b^{2} - 4ac } }{2a}$

$\frac{-5 +/- \sqrt{5^{2} - 4(2)(2) } }{2(2)}$

$\frac{-5 +/- \sqrt{9} }{4}$

$\frac{-5 +/- 3 }{4}$

$\frac{-5 + 3 }{4}$ or -1/2 for the first answer

$\frac{-5 - 3 }{4}$ or -2 for the second answer

5 0

2 years ago

One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio

Bess [88]

Answer:

$n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62$

So the answer for this case would be n=62 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean

$\sigma=60$ represent the population standard deviation

n represent the sample size (variable of interest)

Confidence =95% or 0.95

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

And on this case we have that ME =15, and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (2)

The critical value for 95% of confidence interval is provided, $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62$

So the answer for this case would be n=62 rounded up to the nearest integer

6 0

3 years ago

A square picture frame with each side length represented by 3x -

sergey [27]

Answer:

C. X=6

Step-by-step explanation:

Length of one side =52/4= 13

3X-5= 13

3x = 13+5

X= 18/3

X= 6

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2 years ago

WILL GIVE THE BRAINIEST AND 20 POINTS!!!!!!! Find the distance between each pair of points.

salantis [7]

A (5, 4) and B( 5, -2) is 6 units

E(-2, -1) and F(-2, -5) is 4 units

G(3, -5) and H(6, -5) is 3 units

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2 years ago

Change the following decimal numbers to percents. .25 .278 2.9 3.0 0.67

umka2103 [35]

25=2,500, 278= 27800%, 2.9=290, 3.0=300, 0.67= 67

3 0

2 years ago

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