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4 years ago

The number calls 911 rose from 210000 in 2001 to 400000 in 2002

1 answer:

7 0

i'm guessing this is asking what percentage it went up by? if so it went up by 190.47 percent. ***400,000 / 210,000 = 1.9047619***

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Solve: 2 + = 2. Give solutions in interval [0, 2)

Dovator [93]

$\because\cos 2x+\sin x=\sin 2x$ $\because\sin 2x=2\sin xcosx$ $\because\cos 2x=\cos ^2x-\sin ^2x$

→ Substitute cos 2x and sin 2x by their expressions

$\therefore\cos ^2x-\sin ^2+\sin x=2\sin x\cos x$

→ Subtract both sides by sin x

$\cos ^2x-\sin ^2x=2\sin xcosx-\sin x$

→ Take sin x as a common factor in the right side

$\therefore\cos ^2x-\sin ^2x=\sin x(2\cos x-1)$

From the graph, the equation has 4 solutions, the intersection points between the 2 graphs

7 0

1 year ago

Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P(x< or = to 110)

dem82 [27]

Answer:

97.8%

Step-by-step explanation:

110 is 2 standard deviations above the mean (6+6 = 12)

12+98 = 110

Looking at the standard deviation curve

P(x< or = to 110) = 1 - P(x>110)

We can find the probability that x>100 by adding anything above 2 standard deviations above the curve.

P(x>110) = 2.1+.1 = 2.2%

P(x< or = to 110) = 1 - P(x>110)

= 1- 2.2%

= 1- .022

= .978

= 97.8 %

4 0

3 years ago

Use the distributive property to solve the following equation:<br> 2 + 4(2z + 3) = 15

enyata [817]

Answer:

8z+12

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The accompanying frequency distribution represents the square footage of a random sample of 500 houses that are owner occupied y

ioda

Answer:

$\bar X = \frac{\sum x_i f_i}{n} = \frac{1220750}{500}=2441.5$

$s^2= \frac{3408029125 -\frac{(1220750)^2}{500}}{500-1} =856849.7$

$s= \sqrt{856849.7}=925.662$

Step-by-step explanation:

For this case we can create the following table

Interval Frequency (f) Midpoint(xi) xi *f xi^2* f

0-499 9 249.5 2245.5 560252.3

500-999 13 749.5 9743.5 7302753

1000-1499 33 1249.5 41233.5 51521258.25

1500-1999 115 1749.5 201193.5 361986278.8

2000-2499 125 2249.5 281187.5 632531281.3

2500-2999 81 2749.5 222709.5 612339770.3

3000-3499 47 3249.5 152726.5 496284761.8

3500-3999 45 3749.5 168727.5 632643761.3

4000-4499 22 4249.5 93489 397281505.5

4500-4999 10 4749.5 47495 225577502.5

Total 500 1220750 3408029125

$\sum f_i = 500 , \sum x_i f_i = 1220750, \sum x^2_i f_i = 3408029125$

For this case we can calculate the sample mean with this formula:

$\bar X = \frac{\sum x_i f_i}{n} = \frac{1220750}{500}=2441.5$

And for the sample variance we can use the following formula:

$s^2= \frac{\sum x^2_i f_i - \frac{(\sum x_i f_i)^2}{n}}{n-1}$

And if we replace we got:

$s^2= \frac{3408029125 -\frac{(1220750)^2}{500}}{500-1} =856849.7$

And the deviation is just the square root of the sample variance and for this case is:

$s= \sqrt{856849.7}=925.662$

4 0

3 years ago

What is a linear set of points with a unique starting point and extending infinitely in one direction ?

erastovalidia [21]

Answer:

Step-by-step explanation:

The statement is the definition of a ray.

In geometry, a ray is half of a line, beacuse it begins at specific point and extends to the infinite, while a line extends from an infinite point to an another infinite point. So, basically, the difference is that a ray starts at a determined point, while a line doesn't.

Therefore, the answer is Ray.

8 0

3 years ago