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3 years ago

Please find the answer

Mathematics

1 answer:

svetoff [14.1K]3 years ago

6 0

9514 1404 393

Answer:

-0.84

Step-by-step explanation:

In decimal, the expression is ...

-1.34 +1.50 -1.00 = -0.84

As fractions, the expression is ...

-67/50 +75/50 -50/50 = (-67+75-50)/50 = -42/50 = -21/25

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The average waiting time for a drive-in window at a local bank is 9.2 minutes, with a standard deviation of 2.6 minutes. When a

Lady bird [3.3K]

Answer:

a) 56.91% probability that the customer will have to wait between 5 and 10 minutes.

b) 65.49% probability that the client will have to wait less than 6 minutes of more than 9 minutes.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 9.2, \sigma = 2.6$

(a) Between 5 and 10 minutes

This is the pvalue of Z when X = 10 subtracted by the pvalue of Z when X = 5. So

X = 10

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

$Z = \frac{10 - 9.2}{2.6}$

$Z = 0.31$

$Z = 0.31$ has a pvalue of 0.6217

X = 5

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

$Z = \frac{5 - 9.2}{2.6}$

$Z = -1.62$

$Z = -1.62$ has a pvalue of 0.0526

0.6217 - 0.0526 = 0.5691

56.91% probability that the customer will have to wait between 5 and 10 minutes.

(b) Less than 6 minutes or more than 9 minutes

Less than 6

pvalue of Z when X = 6

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

$Z = \frac{6 - 9.2}{2.6}$

$Z = -1.23$

$Z = -1.23$ has a pvalue of 0.1230

12.30% probability that the client will have to wait less than 6 minutes

More than 9

1 subtracted by the pvalue of Z when X = 9.

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

$Z = \frac{9 - 9.2}{2.6}$

$Z = -0.08$

$Z = -0.08$ has a pvalue of 0.4681

1 - 0.4681 = 0.5319

53.19% probability that the client will have to wait more than 9 minutes

Less than 6 or more than 9

12.30 + 53.19 = 65.49% probability that the client will have to wait less than 6 minutes of more than 9 minutes.

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3 years ago

Find the area of grass in this home landscape diagram.

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Remember that the equation of a circle is:
$(x - h)^{2} + (y - k)^{2} = r^{2}$
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We need to get the equation into that form, and find k.

$x^{2} - 6x + y^{2} - 10y = 56$

Complete the square. We must do this for x² - 6x and y² - 10y separately.

x² - 6x
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x² - 6x + 9

Because we've added 9 on one side of the equation, we have to remember to do the same on the other side.

$x^{2} - 6x + 9 + y^{2} - 10y = 65$

Now factor x² - 6x + 9 to get (x - 3)² and do the same thing with y² - 10y.

y² - 10y
Divide -10 by 2 to get -5.
Square -5 to get 25.
Add 25 on both sides.

$(x - 3)^{2}+ y^{2} - 10y + 25= 90$

Factor y² - 10y + 25 to get (y - 5)²

$(x - 3)^{2}+ (y - 5)^{2} = 90$

Now our equation is in the correct form. We can easily see that h is 3 and k is 5. (not negative because the original equation has -h and -k so you must multiply -1 to it)

Since (h, k) represents the center, (3, 5) is the center and 5 is the y-coordinate of the center.

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Answer:

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A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second

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The largest interval of x-values where the function is increasing is (-1, 1)

<h3>How to determine the largest increasing interval?</h3>

The table of values is added as an attachment

From the table, the function f(x) decreases from x = -3 to x = -1 and x = 1 and x = 2

So, we make use of the intervals

x = -1, 0 and 1

From the table,

From x = -1 to 0, the change is 3

From x = 0 to 1, the change is 3

From x = -1 to 1, the change is 6

Using the above highlights, the largest increasing interval is (-1, 1)

Hence, the largest interval of x-values where the function is increasing is (-1, 1)

Read more about function interval at:

brainly.com/question/1399055

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