Assuming that the heights of college women are normally distributed with mean 65 inches and standard deviation 3.5 inches, what percentage of women are shorter than 68.5 inches

Answer:

[g+2/3g-1] ÷ [g^2+2g/6g+2]

g+2/3g-1 × 6g+2/g^2+2g

g+2/3g-1 × 2(3g +1)/g(g+2)

1/ 3g-1 × 2(3g+1)/g

2(3g +1)÷ g(3g-1)

6g+2 ÷[3g^2-g]

Answer:

12.76

Step-by-step explanation:

This is much easier to solve if you draw it out on a graph. The perimeter is the sum of all the sides. I used the Pythagorean theorem to find the hypotenuse.

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]dc = \sqrt{ {3}^{2} + {1}^{2} } = \sqrt{10} \\ cf = 1 \\ fe = \sqrt{ {4}^{2} + {2}^{2} } = \sqrt{20} \\ de = \sqrt{ {1}^{2} + {4}^{2} } = \sqrt{17} \\ \sqrt{10} + 1 + \sqrt{20} + \sqrt{17} = 12.76[/tex]

Answer:

It is halfing each, here is my proof.

Step-by-step explanation:

Half of 0.02 is 0.01 half of that is 0.005 and half of that is 0.0025. This is the cycle, hope it helps! :D

Answer:

y=0.02(5)^x

Step-by-step explanation:

Answer:

B- n is the opposite of 12

Answer: s=  -1

Step-by-step explanation: Move terms to 10s = -3 -7.Now do -3 -7 which equals -10 .Now u have 10s = -10 ,you divide 10 on both side which gives you s= -1.

Answer:

8

Step-by-step explanation:

Thanks I was reading it like "what?" lma oo

But thanks Have a good day!!

Answer:

6p + 17

Step-by-step explanation:

Like terms have same variable with same exponent.

2p + 3p + 7 +10 +p = 2p + 3p + p + 7 + 10

                               = 6p + 17

answer:

6p+17

step-by-step explanation:

combine 2p, 3p, p and then seperately combine 7 & 10

Answer:

12.9

Step-by-step explanation:

Hope that helps!

This question is incomplete, the complete question is;

Katie Ledecky swims the length of a 50m Olympic size pool in 25 seconds and swims the return trip to the starting position in 26 seconds. What are her average velocities during:

a) The first half of the swim?

b) The second half of the swim?

Answer:

a) her average velocities during the first half = 2 m/s

b) her average velocities during the second half = 1.923 m/s

Step-by-step explanation:

Given that;

displacement = 50 m

time taken t = 25 secs

a)

average velocity = displacement / time taken = 50 / 25 = 2 m/s

Therefore her average velocities during the first half = 2 m/s

b)

In the second half;

displacement = 50 m

time taken t = 26 secs

average velocity = displacement / time taken = 50 / 26 = 1.923 m/s

Therefore her average velocities during the second half = 1.923 m/s

Answer:

it is the third option because -3.2 is greater than -5.4

Step-by-step explanation:

Answer:

0.51cm/s

Step-by-step explanation:

Area of a circle A = πr²

r is the radius

Rate of change of area is expressed as;

dA/dt = dA/dr • dr/dt

dA/dr = 2πr

radius r = 77cm

dA/dt = 79cm²

Get dr/dt

Substitute the given values into the formula

79 = 2π(77)•dr/dt

79 = 154dr/dt

dr/dt = 79/154

dr/dt = 0.51cm/s

Hence the rate of change of the radius is 0.51cm/s

Answer:

do 84.32 - 12.4

Step-by-step explanation:

simple as that

Answer: 71.92

Step-by-step explanation:

Answer:

at least two events

Step-by-step explanation:

compound means various.

sooooooooo it would be various!

Answer: Subtract 3 from each side

Step-by-step explanation:

The goal of the problem is to isolate 3 on one side by itself. The only thing standing in our way is that pesky three. In order to get rid of it, and make y have the whole left side to themselves, we have to see what is three doing in the equation. Well, it is a positive three and it is being added to y. So, we want to do the opposite of what it is. Since it is a positive three, we are going to subtract three on both sides. It will zero itself out on the left side and move on over to the right side, giving y the entire left side of the equation.

the answer is 1 and 4

Start by subtracting, so on #1 subtract 5-8, 8-11, 11-14

then go up to x, -2--1, -1-0, 0-1

Answer:

1 and 4

Step-by-step explanation:

Here,

a+b=20

ab=50

we know that,

[tex]\tt{ (a+b)^2=a^2+b^2+2ab }[/tex] ⠀

According to the question,

[tex]\tt{(20)^2=a^2+b^2+2×50 }[/tex] ⠀

[tex]\tt{ 400=a^2+b^2+100 }[/tex] ⠀

[tex]\tt{ a^2+b^2=400-100 }[/tex] ⠀

[tex]\tt{a^2+b^2=300 }[/tex] ⠀

Answer:

      a² + b² = 300

Step-by-step explanation:

a + b = 20  ; ab = 50

(a +b)² = a²+ b² + 2ab

a² + b² + 2ab = (a + b)²

a² + b² + 2*50 = (20)²

a² + b² + 100 = 400

         a² + b² = 400 - 100

        a² + b² = 300

the answer is  b..............

Answer:

'b' option is correct

Step-by-step explanation:

Use the formula of  sin^(Ф) + cos^2(Ф) =1

Answer:

(1, 7/2)

Step-by-step explanation:

the formula for midpoint is  [tex](\frac{X1 + X2}{2}[/tex], [tex]\frac{Y1 + Y2}{2})[/tex]

Answer:

The probability of completing the exam in one hour or less is 0.0228.

Step-by-step explanation:

Given: Mean = 80

Standard deviation = 10

To find: The probability of completing the exam in one hour or less.

We have, [tex]\mu=80[/tex] and [tex]\sigma=10[/tex].

Now, the z-value is the sample mean decreased by the population mean divided by the standard deviation.

[tex]z=\frac{\bar{x}-\mu}{\sigma}[/tex]

⇒[tex]z=\frac{60-80}{10}[/tex]

⇒[tex]z=-2[/tex]

Now, [tex]z=\frac{\bar{x}-\mu}{\sigma}[/tex]

⇒[tex]z=\frac{75-80}{10}[/tex]

⇒[tex]z=-0.5[/tex]

Again, [tex]z=\frac{\bar{x}-\mu}{\sigma}[/tex]

⇒[tex]z=\frac{90-80}{10}[/tex]

⇒[tex]z=1[/tex]

Using appropriate appendix table, we get [tex]P(z<-2)=0.0228[/tex].

Answer:

77/32 or 2 13/32

Step-by-step explanation:

First, convert the mixed numbers into improper fractions, 11/4*7/8

Next, you can just multiply the fractions for your answer!

Hope this helped<3

Answer:

c

Step-by-step explanation:

Answer:

the answers is 1 hour 23 minutes

Step-by-step explanation:

The balance would be $124 annually, $62 every 6 months, $31 every 3 months, $10.33 every month, and $0.34 every day.

Given that a person charges $100 to a credit card with a 24% nominal annual interest rate, assuming no other charges or payments are made, to find the balance on the card, in dollars, after 1 year for interest calculated at each time interval, the following calculation must be performed:

Therefore, the balance would be $124 annually, $62 every 6 months, $31 every 3 months, $10.33 every month, and $0.34 every day.

Learn more about calculus in https://brainly.com/question/24393912

Answer:

24 Lawns

Step-by-step explanation: If it took 10 hours to mow 8 lawns, then add 8 to its self 3 times and you get 24.