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3 years ago

The population density of a city is 121 residents per square mile. There are exactly 4,205 that live in the city.

Mathematics

1 answer:

IrinaVladis [17]3 years ago

8 0

Answer:

34.75 ( that's round to the nearest hundredth )

Step-by-step explanation:

do the math

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74% of freshmen entering public high schools in 2006 graduated with their class in 2010. A random sample of 81 freshmen is selec

Assoli18 [71]

Answer: Probability that the proportion of students who graduated is greater than 0.743 is P = 0.4755

Step-by-step explanation:

Given that,

Probability of freshmen entering public high schools in 2006 graduated with their class in 2010, p = 0.74

Random sample of freshman, n = 81

Utilizing central limit theorem,

$P(\hat{p}$

So,

$(P(\hat{p}>0.743) = P(Z>0.743 - \frac{0.74}{\sqrt{\frac{0.74(1-0.74)}{81} } } )$

= P( Z > 0.0616)

= 0.4755 ⇒ probability that the proportion of students who graduated is greater than 0.743.

7 0

3 years ago

On the number line, a bug A is moving in the positive direction from the point 0, and a bug Bis moving in the negative direction

sukhopar [10]

Answer:

$x=st$

$y=-5t$

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

The distance is equal to multiply the speed by the time

Let

s ----> the speed in units per second

d ---> the distance in units

t ---> is the time in seconds

BUG A

we have

$d=18\ units$

$t=3\ sec$

The speed is equal to

$s=\frac{d}{t}$

substitute

$s=\frac{18}{3}=6\ units/sec$

If x is the point reached by A after t seconds

then

Multiply the speed by the time

$x=st$

$x=6t$

BUG B

we have

$d=-15\ units$

$t=3\ sec$

The speed is equal to

$s=\frac{d}{t}$

substitute

$s=\frac{15}{3}=5\ units/sec$

If y is the point reached by B after t seconds

then

Multiply the speed by the time

$y=st$

$y=-5t$ ----> is negative because B is moving in the negative direction

3 0

3 years ago

Read 2 more answers

A store is having a sale where school supplies are 30% off their original price. A backpack is on sale for 11.20 dollars. What i

Annette [7]

Answer:

Step-by-step explanation:

11.20(1.30)

=14.56

5 0

3 years ago

PLEASE HELP I HAVE TEST!! Find the measure of the arc or angle indicated

I am Lyosha [343]

Answer:

Step-by-step explanation:

<JKL = 90 ( being inscribed angle in semi circle )

< JKP = 38 ( Inscribed angles on same arc are equal )

So now

<PKL = <JKL - < JKP

= 90 - 38

= 52

FINALLY

ARC PL = 2 * < PKL (Relation between arc and inscribed angle )

ARC PL = 2 * 52

= 104

hope it helps :)

8 0

3 years ago

What is the approximate area of the following circle?

balu736 [363]

Answer:

$38.47 {m}^{2}$

Step-by-step explanation:

The formula to find the area of a circle is

$a= \pi {r}^{2}$

We know that

$\pi = 3.14 \: \: \: \: \: \: r = 3.5$

Therefore the area is

$a= \pi {r}^{2} \\ \\ a = (3.14) {(3.5)}^{2} \\ \\ a = 3.14 \times 12.25 \\ \\ a = 38.47 {m}^{2}$

8 0

2 years ago

Read 2 more answers