b) The radius of a bicycle wheel is 50cm. In one-ninth of a second, it turns through 80°
about its center, which is fixed. How many kilometers does a point on the rim of the
wheel travel in one hour?​

Answer:

I will post 4,5 and 6 separately.

Answer:

a) The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex]

b) 34% of whale pregnancies will have a gestation period between 13.8 and 15 months.

c) Since when [tex]X = 21[/tex], [tex]Z = 5 \geq 2[/tex], it would be unusual for a whale to have a gestation period of 21 months.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If [tex]Z \geq 2[/tex] or [tex]Z \leq -2[/tex], the measure X is considered to be unusual.

According to a website, the mean gestation period for a whale is 15 months. Assume the distribution of gestation periods is Normal with a standard deviation of 1.2 months.

I corrected to 1.2 because it is what makes sense considering the questions.

This means that [tex]\mu = 15, \sigma = 1.2[/tex]

a. Find the standard score associated with a gestation period of 13.8 months

This is Z when X = 13.8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{13.8 - 15}{1.2}[/tex]

[tex]Z = -1[/tex]

The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex]

b. Using the Empirical Rule and your answer to part a, what percentage of whale pregnancies will have a gestation period between 13.8 and 15 months?

The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex], which means that it is one standard deviation below the mean.

The normal distribution is symmetric, which means that of the approximately 68% of measures within one standard deviation of the mean, 68%/2 = 34% are within one standard deviation below the mean(in this case, 13.8) and the mean(in this case 15), and 34% are within the mean and one standard deviation above the mean.

So 34% of whale pregnancies will have a gestation period between 13.8 and 15 months.

c. Would it be unusual for a whale to have a gestation period of 21 months? Why or why not?

Let's find the z-score

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{21 - 15}{1.2}[/tex]

[tex]Z = 5[/tex]

Since when [tex]X = 21[/tex], [tex]Z = 5 \geq 2[/tex], it would be unusual for a whale to have a gestation period of 21 months.

Answer:

2 events

Step-by-step explanation:

There are four options. If 1 is selected, then we have two outcomes of the event. This means that there are two outcomes for the first event.

Hope this helps. Have a nice day.

Here's link to the answer:

tinyurl.com/wpazsebu

Answer:

2.05

Step-by-step explanation:

Answer:

8 in*11 in*4 in*8 encyclopedias= 2,816 in3

Answer:

B 2^x+2 +3

Step-by-step explanation:

hope this helps :)

The function that matches the graph and the given points (7, 0) and (-8, 5) is: y = 2X + 2 + 3. (option b)

This function seems to have a typo, as it simplifies to y = 23, which is a constant value and does not depend on the variable x. This means the graph would be a horizontal line at y = 23 and would not pass through the points (7, 0) and (-8, 5).

y = 2X + 2 + 3

This function can be simplified to y = 2X + 5. Evaluating the points (7, 0) and (-8, 5) in this function:

For (7, 0):

y = 2 * 7 + 5

y = 14 + 5

y = 19

For (-8, 5):

y = 2 * (-8) + 5

y = -16 + 5

y = -11

y = 2X - 3 + 2 Y = 2ˣ + 3 + 2:

It seems there is a typo in this option with "Y" being capitalized. Assuming it is meant to be y, we have two separate functions:

a. y = 2X - 3 + 2

b. y = 2ˣ + 3 + 2

a. For y = 2X - 3 + 2:

Evaluating the points (7, 0) and (-8, 5):

For (7, 0):

y = 2 * 7 - 3 + 2

y = 14 - 3 + 2

y = 13

For (-8, 5):

y = 2 * (-8) - 3 + 2

y = -16 - 3 + 2

y = -17

b. For y = 2ˣ + 3 + 2:

Evaluating the points (7, 0) and (-8, 5):

For (7, 0):

y = 2⁷ + 3 + 2

y = 128 + 3 + 2

y = 133

For (-8, 5):

y = 2⁻⁸ + 3 + 2

y ≈ 0.004 + 3 + 2

y ≈ 5.004

To know more about function here

https://brainly.com/question/28193995

#SPJ2

9514 1404 393

Answer:

  10.5

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so ...

  ZX/ZY = CA/CB

  ZX = Zy(CA/CB) = 14(3/4)

  ZX = 10.5

Answer:

y = mx + b

Step-by-step explanation:

Answer:

y= 2x+1.10

y=x+3.05

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

Answer0.7

Step-by-step explanation:In math of mostly means to multiply ,so 2/10x3 1/2=0.7

Answer:

(-4,-6)

hope this helps !

Answer:

60 minutes which grade

are you in I did it I think

Step-by-step explanation:

I Finish Work in 2 hrs

Work done in 1 Hr = 1/2

Brother Finish work in 3 Hrs Work done in 1 hr = 1/3

Let Say both Complete Work in T hrs as it has to be painted on both sides

Then T (1/2+1/3) = 2

=> T × 5/6 = 2

=> T = 2 Hr 24 Mins

=> T = 12/5 I will Take 2 Hrs to finish my work & 24 Mins to finish after start Helping

Learn more here:

Ajay along with Vijay do a work in 10 days. If Ajay do a work in 1/2...

Atul, Bhaskar and Chetan can complete a work in 10, 20 and 25..

10 men can complete a job in 200 days. They started the work. After...

i see no shaded region here

Answer:

Step-by-step explanation:

Answer: Linda's 1/2 .  Phil's $0.50

Step-by-step explanation: the rate is the slop which is rise/run if that makes sense

Answer:

B. {(x, y): y = x²}

Step-by-step explanation:

A function is a graph where every input (x-value) has one and only one output (y-value). In other words if the value for x=2, there will only be one corresponding point for y. For the function in B, that y-value would be 4. Both A and D, solve for y, means taking the square root which leaves a +/- x-value. C is absolute value of y, which means the positive and negative values for y would have the same point. Only choice B has x-values corresponding to a singular y-value. If you can remember what these graphs look like you can test if they are functions based on the vertical line test.

Answer:

G(x)=(1-x)⁴

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

209.2

Step-by-step explanation:

Answer:

The answer for A: The coordinates for G is (5,3) so plot that in.

The answer for B: "G and E are 5 units away from the y-axis"

The answer for C: "The distance between G and E is 10 units"

Hope this helps!

Step-by-step explanation:

Answer:

This is the correct graph but can it fit on your graph?

Step-by-step explanation:

Answer:

is in the photo

Step-by-step explanation:

hope this helps

Answer:

0.61204

Step-by-step explanation:

μ = 125 ; σ = 16 ; n = 64

Probability that mean will be between 122.4 and 126.1

Z = (x - μ) / σ/sqrt(n)

x = 122.4

Z = (122.4 - 125) ÷ 16/sqrt(64)

Z = - 2.6 ÷ 2 = - 1.3

P(Z < - 1.3) = 0.0968

x = 126.1

Z = (126.1 - 125) ÷ 16/sqrt(64)

Z = 1.1 ÷ 2 = 0.55

P(Z < 0.55) = 0.70884

P(Z < 0.55) - P(Z < - 1.3)

0.70884 - 0.0968

= 0.61204

Answer:

The answer is 0.18

Step-by-step explanation:

All you have to do is multipy length x width

Answer:

Presumably this is a multiple choice question, and without seeing the potential answers, we can't tell you which ones are correct.

A few things can however be said about this function:

1) It describes a parabola that extends upward infinitely.  We can see this because it's in the classic format ax² + bx + c, and all terms are positive.

2) We can find the x-intercepts by solving for zero.  In this case we can do that by factoring it:

x² + 9x + 18 = 0

x² + 3x + 6x + 18 = 0

x(x + 3) + 6(x + 3) = 0

(x + 6)(x + 3) = 0

So the x intercepts occur at (-6, 0) and (-3, 0)

3) we can find its vertex by taking its derivative and solving for zero:

f'(x) = 2x + 9

0 = 2x + 9

x = -4.5

We can then plug that coordinate into the original function to find the y coordinate:

f(x) = x² + 9x + 18

f(-4.5) = 20.25 - 40.5 + 18

= -2.25

So the vertex is at (-4.5, -2.25)

4) As mentioned, the derivative of f(x) is f'(x) = 2x + 9.  The integral is:

x³ / 3 + 9x² / 2 + 18x + C

Answer:

la solucion es 288

Step-by-step explanation:

porque 12 pisos •12 habitaciones es 144 habitaciones y multiplicar 144 con 2 personas tenemos 288.

espero que esto ayude!!

Answer:

y < -4 + 5x

Step-by-step explanation:

le tienes que sumar 5,400 para que te de el resultado

Answer:

Le tienes que añadir 5400

Step-by-step explanation:

Answer:

this is the equation for the graph y=(x+3)(x-2)

Answer:

uhhhhhhhhh help with what ?

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 30 inches

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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