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Elena-2011 [213]

3 years ago

5

Darcy house is 6 times as far from school as her friends house. if her friends house is 3/4 mile from school how many miles from

school is darcys house? help!

1 answer:

laiz [17]3 years ago

6 0

3.75 miles because 3/4 is .75 in money and the 3 is howm many miles

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We are studying the proportion of cities that have private garbage collector. We want a maximum error of 0.10 and a 95% confiden

True [87]

Answer:

The minimum number of cities we need to contact is 96.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence interval

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

In this problem, we have that:

$p = 0.5, M = 0.1$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.1 = 1.96*\sqrt{\frac{0.5*0.5}{n}}$

$0.1\sqrt{n} = 0.98$

$\sqrt{n} = 9.8$

$(\sqrt{n})^{2} = (9.8)^{2}$

$n = 96$

The minimum number of cities we need to contact is 96.

8 0

3 years ago

Can somebody please help me?

ElenaW [278]

<span>for the first part, realize that the hour and minute hands are moving at different rates; in one hour, the minute hands moves all the way around the face of the clock, and thus moves a total of 360 degrees or 2 pi radians; the hour hand moves only 1/12 away around the clock, so covers only 30 degrees or Pi/6 radians.

Now, the LINEAR distance traveled by the tip of each hand is also determined by the length of the hand. In the case of the minute hand, it sweeps out a circle of radius 10 cm, so traces out a circle of radius 10 cm. Since the circumference of a circle is 2*pi*r, the minute hand (remember it made one complete cycle) covers a distance of 2*pi*10cm=20 Pi cm

The hour hand covers only 1/12 a circle, but that circle is only 6 cm in radius, so the distance traveled by the tip of the minute hand is:

1/12 *[2 *pi*r]=1/12*[12*pi]=pi

so the difference is 19pi

for the last part, you should draw a diagram of the two hands, the minute hand is 10 cm in length, the hour hand is 6 cm in length, and they are 30 degrees apart...from that drawing, see if you can figure out the remaining leg of the triangle you can form from them

good luck</span><span>
</span>

8 0

3 years ago

Solve the system of linear equations using elimination.

N76 [4]

Answer:

C (-2,1)

Step-by-step explanation:

−2x − y = 3 (1)

−9x − y = 17 (2)

(1) y = -2x - 3

(2) y = -9x - 17

-2x - 3 = -9x - 17

7x = -14

x = -2

y = -2(-2) - 3

y = 4 - 3

y = 1

8 0

3 years ago

Integers from 1 to 50

aivan3 [116]

...every number between 1 and 50 is an integer

6 0

3 years ago

Which of the following represents 4x^5/6 in radical form

mash [69]

Remember, order of operations
exponent before multiply

so 4x^5/6=4 times x^5/6
simplify the x^5/6 first

remember
$x^\frac{m}{n}=\sqrt[n]{s^m}$

so
$x^\frac{5}{6}=\sqrt[6]{x^5}$

so
$4x^\frac{5}{6}=4\sqrt[6]{x^5}$
<span />

6 0

3 years ago