Is this a function ?

Using the normal distribution, the percentages are given as follows:

a) 9.18%.

b) 97.72%.

c) 50%.

d) 4.27%.

e) 0.13%.

f) 59.29%.

g) 2.46%.

h) 50%.

i) 50%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

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

For this problem, the mean and the standard deviation are given as follows:

[tex]\mu = 247, \sigma = 60[/tex]

For item a, the proportion is the p-value of Z when Z = 167, hence:

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

Z = (167 - 247)/60

Z = -1.33.

Z = -1.33 has a p-value of 0.0918.

Hence the percentage is of 9.18%.

For item b, the proportion is the p-value of Z when Z = 367, hence:

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

Z = (367 - 247)/60

Z = 2.

Z = 2 has a p-value of 0.9772.

Hence the percentage is of 97.72%.

For item c, the proportion is one subtracted by the p-value of Z when X = 247, hence:

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

Z = (247 - 247)/60

Z = 0

Z = 0 has a p-value of 0.5.

Hence the percentage is of 50%.

For item d, the proportion is one subtracted by the p-value of Z when X = 350, hence:

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

Z = (350 - 247)/60

Z = 1.72

Z = 1.72 has a p-value of 0.9573.

1 - 0.9573 = 0.0427.

Hence the percentage is of 4.27%.

For item e, the proportion is the p-value of Z when Z = 67, hence:

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

Z = (67 - 247)/60

Z = -3.

Z = -3 has a p-value of 0.0013.

Hence the percentage is of 0.13%.

For item f, the proportion is the p-value of Z when X = 300 subtracted by the p-value of Z when X = 200, hence:

X = 300:

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

Z = (300 - 247)/60

Z = 0.88.

Z = 0.88 has a p-value of 0.8106.

X = 200:

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

Z = (200 - 247)/60

Z = -0.78.

Z = -0.78 has a p-value of 0.2177.

0.8106 - 0.2177 = 0.5929.

Hence the percentage is 59.29%.

For item g, the proportion is the p-value of Z when X = 400 subtracted by the p-value of Z when X = 360, hence:

X = 400:

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

Z = (400 - 247)/60

Z = 2.55.

Z = 2.55 has a p-value of 0.9946.

X = 360:

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

Z = (360 - 247)/60

Z = 1.88.

Z = 1.88 has a p-value of 0.97.

0.9946 - 0.97 = 0.0246

Hence the percentage is 2.46%.

For items h and i, the distribution is symmetric, hence median = mean and the percentages are of 50%.

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The value of the expression m • s will be 10 after evaluating it for m = 2 and s = 5.

We are given an expression:

m • s

We need to evaluate the expression for m = 2 and s = 5

So, after substituting the values in the expression, we get that:

m • s

= ( 2 ) • ( 5 )

Multiplying the values, we get that:

= 10

Therefore, the value of the expression m • s will be 10 after evaluating it for m = 2 and s = 5.

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Graph with points x=3 and y =1.5

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Answer:  20 steaks

Step-by-step explanation: 12x0.6= 20

Answer:

it is C because If you subtract 48 from 42 and then you ad 1 you get 7.5

Answer:

2200

Step-by-step explanation:

1/10 of 2000 is 200. add it on top of 2000

Answer:

6

Step-by-step explanation:

Answer:

6 pages per day

Step-by-step explanation:

Answer:

Jade would need to walk 16 more dogs to earn $100 total.

Step-by-step explanation:

20 divided by 4 equals 5, so that means Jade is earnings $5 per dog. Just multiply 5 for each dog Jade walks, and you have your answer! If she already walked 4 dogs and made $20, then do 5 times 16 for your answer.

Answer: -3

Step-by-step explanation:

Parallel lines have the same slope.

The slope of f(x)=-3x+12 is -3.

Slope: -3

Answer:

The slope would be -3

Step-by-step explanation:

The number before the x represents the slope.  Parallel lines have the same slope.

Answer:

Step-by-step explanation:

20

The constant of proportionality is 0.3.

From the information, Damian can make 3 free-throw shots in 10 seconds and 18 free-throw shots in 1 minute.

Therefore, we can choose any of the figures to solve the question since it is constant.

The constant of proportionality will be:

= Number of throes / Time taken

= 3/10

= 0.3

The constant of proportionality is 0.3.

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Answer:

Step-by-step explanation:

Simplifying

3 + -4x = 23

Solving

3 + -4x = 23

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -4x = 23 + -3

Combine like terms: 3 + -3 = 0

0 + -4x = 23 + -3

-4x = 23 + -3

Combine like terms: 23 + -3 = 20

-4x = 20

Divide each side by '-4'.

x = -5

Simplifying

x = -5

Based on the radius of the circle and the value of pie, the area of the circle to the nearest tenth is 201 mi²

The area of a circle can be found by the formula:
= Pie x radius x radius

The radius of this circle is 8 mi and pie is 3.14.

The area of the circle is:
= 3.14 x  8 x 8

= 3.14 x 64

= 200.96

= 201 mi²

In conclusion, the area of the circle is 201 mi².

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The speed of the second pedestrian is 5 kilometers per hour.

Let's say that the speed of the second pedestrian is S.

We know that the other pedestrian walks at a speed of 4km/h, and they (together) travel a distance of 27km in 3 hours, then we can write the linear equation:

(4km/h + S)*3h = 27km

It says that both pedestrians work, together, a total of 27km in 3 hours.

Now we can solve that linear equation for S, to do this, we need to isolate S in the left side of the equation.

4km/h + S = 27km/3h = 9 km/h

S = 9km/h - 4km/h = 5km/h

The speed of the second pedestrian is 5 kilometers per hour.

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Answer:

B. y=|x+6|-3                                            

Answer:

93750 is the answer!!!!!

Leta has $24 in her account in august;

Amount of money in Leta's Account in may=$ 45

If leta has not spent a penny till august,and not added a penny in her account, then amount of money in leta's account = $45

Money in Leta's account in June = $45 - $17 = $28

Money in Leta's account in July = $28 - $22 = $6

Money in Leta's account in August = $6 + $18 = $24

Amount, sum, sum of money; "he borrowed a considerable sum," "the amount he had in cash was insufficient." Gain is the difference between a company's revenue and operating expenses. The whole amount of income before any deductions is referred to as gross, receipts, or revenue.

The amount of money you have accessible in your checking or savings account is known as your account balance in the world of banking. The net amount remaining in your account after all deposits and credits have been balanced against any charges and debits is your account balance.

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Answer:

[tex]\frac{63}{4}[/tex]

Step-by-step explanation:

[tex]\frac{42}{1} x \frac{3}{8}[/tex]

Cross out common factors 42 & 8;

[tex]21 * \frac{3}{4}[/tex]

Write as a single factor.

[tex]\frac{21*3}{4}[/tex]

21*3= 63

[tex]\frac{63}{4}[/tex]

Answer:

  m = -4

Step-by-step explanation:

You want the solution to the "two step" equation m -4 = 2m.

A "two-step" linear equation is one that can be solved in two steps. The steps in general are ...

The "inverse" properties of addition and multiplication are used to identify the quantities added or multiplied.

There are two forms a two-step equation might take:

  ax +b = c

  ax +b = cx

You will notice that one side of the equal sign has a sum of two terms: a term with the variable, and a constant term without the variable. The other side of the equation will have one term, which may be either a constant term or a variable term.

The idea of the first step is to make sure the variable term ends up on one side of the equal sign, and the constant term ends up on the other side.

The parts of the first step are ...

For the given equation ...

  m - 4 = 2m

The term by itself is a variable term. The variable term on the other side of the equation is "m". The first step will be to add "-m" to both sides of the equation.

  m -4 -m = 2m -m . . . . . . -m added to both sides

  -4 = m . . . . . . . . . . . . . simplify

Now, we have a variable term (m) on one side of the equal sign, and a constant term (-4) on the other side. This is the desired result of the first step.

The idea of the second step is to make the coefficient of the variable be 1. We do that by multiplying both sides of the equation by the reciprocal (inverse) of the coefficient of the variable.

For the equation ...

  ax = b

we multiply by the reciprocal of 'a', which is 1/a.

  (ax)(1/a) = b(1/a)

  x = b/a . . . . . . . . . . . effectively, we're dividing by 'a'

In the given equation, we have ...

  -4 = m

which already has a coefficient of 1 on the variable m. This means we're done, and no additional step is actually needed.

The solution is m = -4.

__

Additional comment

There is another form of 2-step equation you may see occasionally:

  a(x +b) = c

Solving this can be done by reversing the order of the steps: first divide by the coefficient of x, then subtract the constant.

  x +b = c/a

  x = (c/a) -b

If the variable term inside parentheses has a coefficient other than 1, it may be useful to eliminate parentheses using the distributive property, then solve like a regular 2-step equation.

Answer:

The answer is 5

Step-by-step explanation:

From every side

Answer:

a)  9 days

b)  47 days

Step-by-step explanation:

Given information:

[tex]\begin{array}{|c|r|c|r|}\cline{1-4} \sf Day & \sf Height\:{(ft) & \sf Night & \sf Height\:(ft) \\\cline{1-4} 1 & 5 & 1 & 5 - 3 = 2\\\cline{1-4} 2 & 2 + 5 = 7 & 2 & 7 - 3 = 4 \\\cline{1-4} 3 & 4 + 5 = 9 & 3 & 9 - 3 = 6 \\\cline{1-4} 4 & 6 + 5 = 11 & 4 & 11 - 3 = 8 \\\cline{1-4} 5 & 8 + 5 = 13 & 5 & 13 - 3 = 10 \\\cline{1-4} 6 & 10 + 5 = 15 & 6 & 15-3=12\\\cline{1-4} 7 & 12 + 5 = 17 & 7 & 17 - 3 = 14 \\\cline{1-4} 8 & 14 + 5 = 19 & 8 & 19-3=16\\\cline{1-4} 9 & 16 + 5 = 21 &&\\\cline{1-4}\end{array}[/tex]

On the first day the worm climbs 5 ft, but slips back 3 ft during the first night.

On the second day the worm climbs a further 5 ft, so is now at 7 ft, but slips back 3 ft during the second night.  Therefore, it starts the third day at a height of 4 ft.

The progression continues this way so that the worm starts the 9th day at a height of 16 ft. As it climbs 5 feet during the day, it will reach the height of 20 ft during the 9th day, and so will climb out of the ravine before it sleeps for the night.

Therefore, it will take 9 days for the worm to crawl up a 20 ft ravine.

This can be modeled as an arithmetic sequence:

[tex]y=a+(x-1)d[/tex]

where:

Therefore:

[tex]\implies y=5+(x-1)2[/tex]

[tex]\implies y=5+2x-2[/tex]

[tex]\implies y=3+2x[/tex]

To calculate how long it will take the worm to crawl up the ravine if it is 97 ft high, substitute y = 97 into the equation and solve for x:

[tex]\implies 3+2x=97[/tex]

[tex]\implies 3+2x-3=97-3[/tex]

[tex]\implies2x=94[/tex]

[tex]\implies \dfrac{2x}{2}=\dfrac{94}{2}[/tex]

[tex]\implies x=47[/tex]

Therefore, it will take 47 days for the worm to crawl up a 97 ft ravine.

The description in the table is that for every second, there are 20 wing flaps.

It should be noted that the constant of proportionality is a term that used to show the proportional relationship between different values.

In the table, at 1 second, the number was 20 while at 2 seconds, the number of wing flaps is 40.

Therefore, the constant of proportionality will be:

= 20/1

= 20

Therefore, the description in the table is that for every second, there are 20 wing flaps.

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Answer:

[tex]32000( {1.07}^{x} ) > 75000[/tex]

The required inequality represents the worth of the car more than $75,000 is 32000[1.07]ˣ > 75000.

Given that,
A vintage car costs $32,000 when purchased. The car increases in value by approximately 7% at the end of each year, x, after it is purchased.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
According to the question,
The relationship of the cost of the car after x year,
= 32000[1 + 0.07]ˣ
= 32000[1.07]ˣ
Now, this cost should be more than $75000
So,
32000[1.07]ˣ > $75000

Thus, the required inequality represents the worth of the car more than $75,000 is 32000[1.07]ˣ > 75000.

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The answer to the given question is Option B.

At no point can we distinguish between diamonds and hearts, as we are only interested in finding red cards. as a result,

The wrong statement is:

For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has picked so far.  

Therefore, the ultimate answer to the given question is Option B.

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The question is incorrect, The correct question is

Joseph selects a card from a standard deck of 52 cards and then replaces it afterwards. He decides to record the total number of red cards that he selects and calculates the proportion of red cards that he has selected so far after each pick. He then constructs a graph to visualize his results. Which of the following statements is FALSE?

A. The theoretical probability for selecting a red card in each pick is 0.5.

B. For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has picked so far.

C. This is an example of the law of large numbers.

D. The relative frequency of selecting a red card changes with the increase in number of selections.

The expression for the volume of the pool is given by (25 d³ + 225 d² + 350 d) feet³.

We have:

We are given that the depth of the pool is = d feet

Width of the pool is 10 feet greater than five times it’s depth

Width of the pool = 10 + 5 d feet

length of the pool is 35 feet greater than five times its depth

Length of the pool = 35 + 5 d

We know that:

Volume = l b h

Volume = (d) × (10 + 5 d) × (35 + 5 d)

Volume = (10 d + 5 d²) (35 + 5 d)

Volume = 350 d + 175 d² + 50 d² + 25 d³

Volume = (25 d³ + 225 d² + 350 d) feet³

Therefore, we get that, the expression for the volume of the pool is given by (25 d³ + 225 d² + 350 d) feet³.

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The distance that the light travels on 36 seconds is 6696000 miles.

From the information, it was illustrated that light travels about 186,000 mi/s and the function d(t) = 186,000t gives the distance.

Therefore, the distance in 36 seconds will be:

d(t) = 186,000t

= 186000 × 36

= 6696000 miles.

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Answer:

hahah thats funny

Step-by-step explanation: