Solve 9 × 5 8 and select the correct options from the drop-down boxes to show your solution as a mixed number.

Rewrite the equation by completing the square. x^2+10x+24 = 0

ser-zykov [4K]

Answer:

(x+5)^2 = 1

Step-by-step explanation:

x^2+10x+24 = 0

Subtract 24 from each side

x^2+10x+24 -24 = 0-24

x^2+10x = -24

Take the coefficient of x

10

Divide by 2

10/2 =5

Square it

5^2 = 25

Add it to each side

x^2+10x+25 = -24+25

Take the coefficient divided by 2 inside the factor

(x+10/2) ^2 = -24+25

(x+5)^2 = 1

3 0

4 years ago

Find the elapsed time for a person who worked from:

Sophie [7]

Answer:

11. 9hrs

12. 5hrs 35min

13. 3hrs 48 min

Step-by-step explanation:

Makes it a bit easier if you convert to 24 hr time.

11. 10 - 19 is 9hrs

12. 545-1120 is 11-5 20-45 -> 6hrs -25min -> 5hrs 35min

13. 1800 - 2148 is 21-18 48-00 -> 3hrs 48 min

5 0

3 years ago

Read 2 more answers

Sara says, "If you subtract 19 from my number and multiply the difference by - 2, the result is -4."

denis-greek [22]

Her number is 27, I hope

8 0

3 years ago

Read 2 more answers

Note: Please make sure to properly format your answers. All dollar figures in the answers need to include the dollar sign and an

Daniel [21]

Using the normal distribution, the percentages are given as follows:

a) 9.18%.

b) 97.72%.

c) 50%.

d) 4.27%.

e) 0.13%.

f) 59.29%.

g) 2.46%.

h) 50%.

i) 50%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

For this problem, the mean and the standard deviation are given as follows:

$\mu = 247, \sigma = 60$

For item a, the proportion is the p-value of Z when Z = 167, hence:

$Z = \frac{X - \mu}{\sigma}$

Z = (167 - 247)/60

Z = -1.33.

Z = -1.33 has a p-value of 0.0918.

Hence the percentage is of 9.18%.

For item b, the proportion is the p-value of Z when Z = 367, hence:

$Z = \frac{X - \mu}{\sigma}$

Z = (367 - 247)/60

Z = 2.

Z = 2 has a p-value of 0.9772.

Hence the percentage is of 97.72%.

For item c, the proportion is one subtracted by the p-value of Z when X = 247, hence:

$Z = \frac{X - \mu}{\sigma}$

Z = (247 - 247)/60

Z = 0

Z = 0 has a p-value of 0.5.

Hence the percentage is of 50%.

For item d, the proportion is one subtracted by the p-value of Z when X = 350, hence:

$Z = \frac{X - \mu}{\sigma}$

Z = (350 - 247)/60

Z = 1.72

Z = 1.72 has a p-value of 0.9573.

1 - 0.9573 = 0.0427.

Hence the percentage is of 4.27%.

For item e, the proportion is the p-value of Z when Z = 67, hence:

$Z = \frac{X - \mu}{\sigma}$

Z = (67 - 247)/60

Z = -3.

Z = -3 has a p-value of 0.0013.

Hence the percentage is of 0.13%.

For item f, the proportion is the p-value of Z when X = 300 subtracted by the p-value of Z when X = 200, hence:

X = 300:

$Z = \frac{X - \mu}{\sigma}$

Z = (300 - 247)/60

Z = 0.88.

Z = 0.88 has a p-value of 0.8106.

X = 200:

$Z = \frac{X - \mu}{\sigma}$

Z = (200 - 247)/60

Z = -0.78.

Z = -0.78 has a p-value of 0.2177.

0.8106 - 0.2177 = 0.5929.

Hence the percentage is 59.29%.

For item g, the proportion is the p-value of Z when X = 400 subtracted by the p-value of Z when X = 360, hence:

X = 400:

$Z = \frac{X - \mu}{\sigma}$

Z = (400 - 247)/60

Z = 2.55.

Z = 2.55 has a p-value of 0.9946.

X = 360:

$Z = \frac{X - \mu}{\sigma}$

Z = (360 - 247)/60

Z = 1.88.

Z = 1.88 has a p-value of 0.97.

0.9946 - 0.97 = 0.0246

Hence the percentage is 2.46%.

For items h and i, the distribution is symmetric, hence median = mean and the percentages are of 50%.

More can be learned about the normal distribution at brainly.com/question/24808124

#SPJ1

4 0

2 years ago

The price of some houses in a neighborhood are shown below: House Price A $120,000 B $130,000 C $140,000 D $150,000 E $1,110,000

LenaWriter [7]

Answer:

To infer a price for the houses in that neighborhood, it is better to use the median.

Step-by-step explanation:

We have the following prices:

$ 120,000

$ 130,000

$ 140,000

$ 150,000

$ 1,110,000

Now, if we do it for the median, it is the best option, because there is a very distant value and the median is not much affected. The value that is inferred through the average is $ 140,000, a value close to the first 4 houses.

If we do it by the mean, the value would be:

(120,000 + 130,000 + 140,000 + 150,000 + 1,110,000) / 5 = $ 330000

a value very far from all the prices of the houses, this is due to the value so far from the last house.

In other words, to infer a price for the houses in that neighborhood, it is better to use the median.

4 0

4 years ago