4.5.36
A smoke jumper jumps from a plane that is 1500 ft above the ground. The function h= -16? + 1500 gives the jumper's height hin feet during the free fall att seconds
a. How long is the jumper in free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 940 ft?
c. What is a reasonable domain and range for the function h? no

Answer:

The probability is  [tex]P( p < 435.82 ) = 0.54094[/tex]

Step-by-step explanation:

From the question we are told that

   The population proportion is  p =  54% = 0.54

    The sample size is  n  =  808

Generally the distribution of the population with college degree follows a binomial distribution  

i.e  

         [tex]X  \~ \ \ \  B(n , p)[/tex]

Generally the mean is mathematically represented as

       [tex]\mu = n * p[/tex]

=>    [tex]\mu = 808 * 0.52[/tex]

=>    [tex]\mu = 420.16[/tex]

Generally the standard deviation is mathematically represented as

        [tex]\sigma = \sqrt{np(1- p )}[/tex]

=>      [tex]\sigma = \sqrt{808 * 0.52(1- 0.52 )}[/tex]    

=>      [tex]\sigma = 14.2[/tex]

Generally 54% of the population proportion is

         [tex]\^ p = 0.54 * 808[/tex]

=>     [tex]\^ p = 436.32[/tex]

Generally by normal approximation of the binomial distribution the probability that the proportion of persons with a college degree will be less than 54% is mathematically evaluated as

      [tex]P(p < \^ p ) = P(\frac{p - \mu }{\sigma } < \frac{\^ p - \mu }{\sigma } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>  [tex]P(p < 436.32 ) = P( Z < \frac{436.32 - 420.16 }{14.20 } )[/tex]

applying continuity correction

      [tex]P(p < (436.32-0.5) ) = P( Z < \frac{(436.32-0.5) - 420.16 }{14.20 } )[/tex]

=>  [tex]P(p < (435.82 ) = P( Z < \frac{435.82 - 420.16 }{14.20 } )[/tex]

=>  [tex]P(p < (435.82 ) = P( Z < 0.1028 )[/tex]

From the z table  the area under the normal curve to the left corresponding to 0.1028  is

   [tex]P( Z < 0.1028 ) = 0.54094[/tex]

=> [tex]P( p < 435.82 ) = 0.54094[/tex]

Answer:

10 melons

Step-by-step explanation:

The rate of change is 10.

30 : 1

300 : x

Multiply 30 x 10 to get 300. And you do the same to 1 and x. So, 1 x 10 = 10. So x = 10

So it would look like this -

30 : 1

300 : 10

hope this HELP! :)

Answer:

4

Step-by-step explanation:

32+20=52

8+5=13

52/13=4

Answer:

its A dont know how to explain it but i did the math and yes it is (2,3,1)

Step-by-step explanation:

Answer:

the answer is d (3,2,1) according to the picture given

Step-by-step explanation:

the system you wrote is different from the picture

Answer:

B

Step-by-step explanation:

Answer:

(f o g)(x) = x + 5

General Formulas and Concepts:

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

f(x) = x + 2

g(x) = x + 3

(f o g)(x) = f(g(x))

Step 2: Find

Answer:

f(x+3)=x+5

Goodluck to you

Answer:

Step-by-step explanation:

Given that:

The height of the dock (h) = 6

Let represent d to be the distance between the boat and the dock

Let the length of the rope between the boat and the drum be denoted by (l)

Then, the rate of change for the length of the rope be:

dl/dt = -5 ft/s

Using Pythagoras rule to determine the relationship between these values, we have:

[tex]l^2 = h^2 +d^2[/tex]

[tex]l^2 = 6^2 + d^2[/tex]

[tex]l^2 = 36 + d^2[/tex]

We relate to:  [tex]2l * \dfrac{dl}{dt} = 2d* \dfrac{dd}{dt}[/tex]

From the question;

l = 34,

So to find [tex]\dfrac{dd}{dt}[/tex], we get;

[tex]d = \sqrt{l^2 - 36}[/tex]

[tex]d = \sqrt{34^2 - 36}[/tex]

[tex]d = \sqrt{1156- 36}[/tex]

[tex]d = \sqrt{1120}[/tex]

d = 33.46

So, we have:

[tex]\dfrac{dd}{dt}= \dfrac{l}{d} \times \dfrac{dl}{dt}[/tex]

[tex]\dfrac{dd}{dt}= \dfrac{34}{33.46} \times - 5[/tex]

[tex]\dfrac{dd}{dt}= 1.016 \times - 5[/tex]

[tex]\dfrac{dd}{dt}=-5.08 \ ft/sec[/tex]

Answer:$5804

Step-by-step explanation:

P=6200/e^(0.022)(3)

Answer:

5804 just trust me i got it right

Answer:

74° is the answer

In the triangle

112°+33°+a=180. (sum of angles of triangle)

a=180-145

a=35°

a+b+71°=180. (linear pair)

35°+b+71°=180

b=180-106

{b= 74°}

Answer:

802456

Step-by-step explanation:

Answer:

The correct answer is that x = 0.

Answer:

x=0

Step-by-step explanation:

6+x=6

x=6-6

x=0

Answer:

$3.12

Step-by-step explanation:

A quart is 4 cups

Divide the Price $12.48 by 4 = $3.12 a cup

Answer:

Step-by-step explanation:

y = mx + b

[tex]m_{LN} = m_{NP }[/tex] = - [tex]\frac{10}{4}[/tex] = - [tex]\frac{5}{2}[/tex]

y-intercept is 1

y = - [tex]\frac{5}{2}[/tex] x + 1

Answer:

3. x=110  y=110  t=70

4. a=105  b=105  c=75  d=75  e=105  g=75  f=75

Step-by-step explanation:

Answer:

400 total

Step-by-step explanation:

so 100 is 25% of 100% and 25%x4=100%

so do 100x4=400=100% of the middle schoolers

Answer:

The volume that a 200 g gold sample would have is 10.36 mL.

Step-by-step explanation:

Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space. In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance. Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

[tex]density=\frac{mass}{volume}[/tex]

In this case it is known that the density of gold is 19.3 g / mL. This indicates that in 1 mL there are 19.3 g. Then the following rule of three can be applied: if 19.3 g is contained in 1 mL, how much volume is 200 g of gold?

[tex]volume=\frac{200 g*1mL}{19.3g}[/tex]

volume= 10.36 mL

The volume that a 200 g gold sample would have is 10.36 mL.

Answer:

it would be 2

Step-by-step explanation:

Answer:

smaller than the sum of the other two sides

In this case less than 21

Step-by-step explanation:

Triangle Inequality Theorem

Answer:

0, 5

Step-by-step explanation:

5 * 0 = 0

5 * 1 = 5

5 * 2 = 10

5 * 3 = 15

5 * 4 = 20

5 * 5 = 25

etc.

Answer: 0, 5

Answer:

B) 5 hours

Step-by-step explanation:

First, find the amount of mph between 60 and 80:

80 - 60

= 20 mph

Since the speed increases 4 mph per hour, we can find how long it will take to get to 80 mph by dividing 20 by 4:

20/4

= 5

So, the correct answer is B, 5 hours

Answer:

doesn't it give you the angles for each letter? If that is the case then it would be 33

Step-by-step explanation:

May I have brainliest please? :)

Answer:

RT

Step-by-step explanation:

RT

Since angle S is the smallest angle, the smallest side is opposite that.

An

2 pie/3

Step-by-step explanation:

Step-by-step explanation:

2×+6 + 5 = X+10

2x -x =10 -11

x= - I

BC = 2(-1) + 6=4

AC = -1+10 = 9

Answer:

45

Step-by-step explanation:

Answer:

[tex]0\leq d\leq 7[/tex]

Step-by-step explanation:

[tex]11.79=11(1.01^d)\\1.01^d=\frac{11.79}{11} \\1.01^d=1.0718\\ln(1.01^d)=ln(1.0718)\\d ln(1.01)=ln(1.0718)\\d=\frac{ln(1.0718)}{ln(1.01)} \\d=\frac{0.069}{0.0099} \\d=6.9696[/tex]

By rounding up.

d=7

Hence, the domain is

[tex]0\leq d\leq 7[/tex]

Answer:

0<x<d

its so easy if you need help