The table shows the number of hours Nina worked on three different days and the amount of money she earned.



Hours Worked Amount Earned
3 $34.50
5 $57.50
8 $92.00
------



Based on the data in the table, write an equation that can be used to determine the amount of money Nina earns given the number of hours she works. Show your work or explain how you determined your equation. Be sure to define your variables.

Answers

Answer 1
y2-y1/x2-x1

57.50-34.50=23
5-3=2
23/2=11.5
x(11.5)
x= number of hours
11.5, amount earned per hour.

Related Questions

A clothing business finds there is a linear relationship between the number of shirts, n ,it can sell and the price, p , it can charge per shirt. In particular, historical data shows that 1000 shirts can be sold at a price of $40 , while 4000 shirts can be sold at a price of $19 . Give a linear equation in the form p =mn + b that gives the price p they can charge for n shirts.

Answers

The linear function gives the price p they can charge for n shirts is given as follows:

p = -0.0063n + 44.2.

What is a linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The slope m represents the rate of change of the linear function.The intercept b represents the initial amount.

Two points on the function in this problem are given as follows:

(1000, 40) and (4000, 19).

When x increases by 3000, y decays by 19, hence the slope m is given as follows:

m = -19/3000

m = -0.0063.

Hence:

p = -0.0063n + b.

When n = 4000, p = 19, hence the intercept b is obtained as follows:

19 = -0.0063(4000) + b

b = 44.2.

Hence the function is:

p = -0.0063n + 44.2.

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Algebra 2 big ideas math please help me

Algebra 2 big ideas math please help me

Answers

Answer:

Step-by-step explanation:

9

Find the area of the triangle having the indicated angle and sides. (Round your answer to one decimal place.) C = 127o a = 2, b = 6

Answers

The area of the triangle is approximately 33.8 square units.

Heron's formula is applicable to all types of triangles. Heron's formula is used to compute the area of a triangle, and every sort of triangle in the world has an area.

So, if the three sides of a triangle are known, Heron's formula may be used to directly determine the area.

We can use the Law of Cosines to find the third side of the triangle, then use Heron's formula to find the area.

First, we find the third side, c:

c^2 = a^2 + b^2 - 2ab * cos(C)

c^2 = 2^2 + 6^2 - 2 * 2 * 6 * cos(127)

c = sqrt(40 - 24 * cos(127))

Next, we use Heron's formula to find the area of the triangle:

s = (a + b + c) / 2

area = sqrt(s * (s-a) * (s-b) * (s-c))

area = sqrt((7.82 + 3) * (7.82 - 2) * (7.82 - 6) * (3))

area = sqrt(45.82 * 5.82 * 1.82 * 3)

area = sqrt(1138.3916)

area = 33.75

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Select from the drop-down menu to create a statistical question Susan could ask her friends in a survey.
How many,
Pounds are in a kilogram
bones in the body
days each weel does Melanie exercise
pushups can you do?

Answers

Answer:

1 Kilogram = 2.20462262 Pounds

Total number of bones in a normal human body has been calculated to be 206, which is less than that found in newborn babies. The reduction in number is due to fusion of bones. One thing to consider is that this number, 206, varies. Polydactyly patients can have extra bones due to the extra fingers.

Perform challenging push-up workouts 2–3 times per week. Rest for 2–3 days between challenging push-up workouts. If you are doing mini-push-up workouts throughout the day, you can do this every day. If you decide to do 10 push-ups every hour for its surprising health benefits, you can do push-ups every day.

Hope i could help if you can please mark me brainliest.

Using the table below, solve f(x)=-69.2. separate multiple solutions with commas if necessary.

Using the table below, solve f(x)=-69.2. separate multiple solutions with commas if necessary.

Answers

Answer:

x = 2

Step-by-step explanation:

Using a table

We want to find the value of x when f(x) = -69.2

From the table we see that when f(x) = -69.2, x = 2

the perimeter of a different regular polygon is 75b - 20 the length of one of its sides is 15b-4 how many sides does this regular polygon have

Answers

The number of sides of the polygon, is 5

What are perimeters?

The perimeter of an object is the outer boundary length, is calculated by adding all its sides.

Given that, the perimeter of a different regular polygon is 75b - 20 the length of one of its sides is 15b-4 we need to find the number of sides of the polygon,

Let the number of sides of the polygon be x,

Therefore,

(15b-4)x = 75b-20

x = 75b-20 / 15b-4

x = 5(15b-4) / 15b-4

x = 5

Hence, the number of sides of the polygon, is 5

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Diane plans to arrive 30 minutes early on Friday. What time does she plan to arrive?
*

7:00 A.M.
8:30 A.M.
8:00 A.M.
6:30 A.M.
7:30 A.M.

Diane plans to arrive 30 minutes early on Friday. What time does she plan to arrive?*7:00 A.M.8:30 A.M.8:00

Answers

Diane plans to arrive at 7:30 A.M.

What is time ?

Time is a notion that is used to quantify the length and progression of occurrences. It is a key aspect of how things work and can be expressed in terms of hours, minutes, seconds, and other time intervals. Time helps us schedule, coordinate, and comprehend the sequence of events in our daily lives. It also enables us to arrange and synchronize activities.

If we take the assumed intended arrival time of 8:00 A.M. and deduct Diane's anticipated arrival time of 30 minutes, we get the intended arrival time.

Therefore, Diane plans to arrive at 7:30 A.M.

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It is known that the amount of time needed to change the oil on a car is normally distributed with a standard deviation of 5 minutes. The amount of time to complete a random sample of 10 oil changes was recorded and listed here. Compute the 99% confidence interval estimate of the mean of the population.

11 10 16 15 18 12 25 20 18 24

Answers

Answer:

(11.605 ; 22.195)

Step-by-step explanation:

11 10 16 15 18 12 25 20 18 24

Sample mean, xbar = Σx / n = 169 / 10 = 16.9

Standard deviation = 5.152 ( using calculator)

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/√n

Df = n - 1 = 10 - 1 = 9

Tcritical at 99%, df =9 = 3.2498

Margin of Error = 3.2498 * 5.152/√10 = 5.2946

Lower boundary :

16.9 - 5.2946 = 11.6054

Upper boundary :

16.9 + 5.2946 = 22.1946

(11.605 ; 22.195)

What is the value of x in the triangle below?

What is the value of x in the triangle below?

Answers

Answer:

  15 cm

Step-by-step explanation:

All of the triangles in this figure are similar 30°-60°-90° triangles.

The ratio of shortest to longest sides in a 30°-60°-90° triangle is 1 : 2. This means the longest side of the largest triangle has length ...

  2 × (10 cm) = 20 cm

It also means the shortest side of the smallest triangle is (10 cm)/2 = 5 cm.

The length shown as 'x' is the difference of these measures:

  x = 20 cm -5 cm

  x = 15 cm

__

Additional comment

There are several "geometric mean" relations that apply to this sort of right-triangle geometry. One of them is that the side marked as 10 cm is the geometric mean of the short segment and the whole segment of the bottom edge. This will confirm that x = 15 cm.

  (10 cm)² = (5 cm)(5 +15) cm = 100 cm²

1. A woman visits four different places: A, B, C, and D. If, at a given time, she is at point A, then the next hour she will be at point D with 100 percent probability. If she is at point B, then she will be at point A in an hour (with 100 percent probability) If she is at point C, then she will be at point A or B, with equal probabilities (that is, 50 percent each). If she is at point D, then she will be at point B or C with equal probability. a) Write down the stochastic matrix M that describes, given a probability vector, the probability that the woman will be at each of the places during the next hour. (b) Find the steady state vector. (This is a probability vector [positive entries that add up to 11 satisfying Mu- [Hint: you should simply assume that λ-1 is an eigenvalue for M (this is guaranteed for all stochastic matrices) and find the corresponding eigenspace. Divide by a suitable constant to get the steady state vector (c) After many hours pass, what are the probabilities that the woman will be at A? B? C? D? (These are recorded in the steady state vector.)

Answers

The resulting probability is 100%

How to calculate probability?

The general formula to calculate the probability is

=> P(B) = (n(B)/N(S)

where,

P(B) is the probability of an event 'B'.

n(B) is the number of favorable outcomes of an event 'B'.

n(S) is the total number of events occurring in a sample space.

Given,

A woman visits four different places: A, B, C, and D. If, at a given time, she is at point A, then the next hour she will be at point D with 100 percent probability. If she is at point B, then she will be at point A in an hour (with 100 percent probability) If she is at point C, then she will be at point A or B, with equal probabilities (that is, 50 percent each). If she is at point D, then she will be at point B or C with equal probability.

Here we have given that,

Number of places = 4 (A, B, C, D)

Initial point = A

Point D probability = 100%

For Point B to A probability = 100%

For point C to A or B probability = 50%

For point D to B and C probability = 50%

Now, here we need to find the probabilities that the woman will be at.

Like the women will spend three hours of travelling in the point A, B and C, then the probability of the points are calculated as,

=> 1 + 0.5 + 0.5 - 1

=> 2 - 1 = 1

Therefore, the resulting probability is 100%.

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2 times the sum of the number x and 7 is 13.​

Answers

Answer:

-1/2

Step-by-step explanation:

2(7+X)=13

open the bracket

14+2X=13

clt

2X=13-14

2X=-1

X=-1/2

The average American man consumes 9.6 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible. a. What is the distribution of X? X - NO b. Find the probability that this American man consumes between 9.7 and 10.6 grams of sodium per day. C. The middle 10% of American men consume between what two weights of sodium? Low: High:

Answers

The variable of interest is

X: sodium consumption of an American male.

a) This variable is known to be normally distributed and has a mean value of μ=9.6grams with a standard deviation of δ=0.8gr

Any normal distribution has a mean = μ and the variance is δ², symbolically:

X~N(μ ,δ²)

For this distribution, we have established that the mean is μ=9.6grams and the variance is the square of the standard deviation so that: δ² =(0.8gr)²=0.64gr²

Then the distribution for this variable can be symbolized as:

X~N(9.6,0.64)

b. You have to find the probability that one American man chosen at random consumes between 9.7 and 10.6gr of sodium per day, symbolically:

\(P(9.7\leq X\leq10.6)\)

The probabilities under the normal distribution are accumulated probabilities. To determine the probability inside this interval you have to subtract the accumulated probability until X≤9.7 from the probability accumulated probability until X≤10.6:

\(P(X\leq10.6)-P(x\leq9.7)\)

Now to determine these probabilities, we have to work under the standard normal distribution. This distribution is derived from the normal distribution. If you consider a random variable X with normal distribution, mean μ and variance δ², and you calculate the difference between the variable and ist means and divide the result by the standard deviation, the variable Z =(X-μ)/δ ~N(0;1) is determined.

The standard normal distribution is tabulated. Any value of any random variable X with normal distribution can be "converted" by subtracting the variable from its mean and dividing it by its standard deviation.

So to calculate each of the asked probabilities, you have to first, "transform" the value of the variable to a value of the standard normal distribution Z, then you use the standard normal tables to reach the corresponding probability.

\(P(X\leq10.6)=P(Z\leq\frac{10.6-9.6}{0.8})=P(Z\leq1.25)\)\(P(X\leq9.7)=P(Z\leq\frac{9.7-9.6}{0.8})P(Z\leq0.125)\)

So we have to find the probability between the Z-values 1.25 and 0.125

\(P(Z\leq1.25)-P(Z\leq0.125)\)

Using the table of the standard normal tables, or Z-tables, you can determine the accumulated probabilities:

\(P(Z\leq1.25)=0.894\)\(P(Z\leq0.125)=0.550\)

And calculate their difference as follows:

\(0.894-0.550=0.344\)

The probability that an American man selected at random consumes between 10.6 and 9.7 grams of sodium per day is 0.344

c. You have to determine the two sodium intake values ​​between which the middle 10% of American men fall. If "a" and "b" represent the values we have to determine, between them you will find 10% of the distribution. The fact that is the middle 10% indicates that the distance between both values to the center of the distribution is equal, so 10% of the distribution will be between both values and the rest 90% will be equally distributed in two tails "outside" the interval [a;b]

Under the standard normal distribution, the probability accumulated until the first value "a" is 0.45, so that:

\(P(Z\leq a)=0.45\)

And the accumulated probability until "b" is 0.45+0.10=0.55, symbolically:

\(P(Z\leq b)=0.55\)

The next step is to determine the values under the standard normal distribution that accumulate 0.45 and 0.55 of probability. You have to use the Z-tables to determine both values:

The value that accumulates 0.45 of probability is Z=-0.126

To translate this value to its corresponding value of the variable of interest you have to use the standard normal formula:

\(a=\frac{X-\mu}{\sigma}\)

You have to write this expression for X

\(\begin{gathered} a\cdot\sigma=X-\mu \\ (a\cdot\sigma)+\mu=X \end{gathered}\)

Replace the expression with a=-0.126, μ=9.6gr, and δ=0.8gr

\(\begin{gathered} X=(a\cdot\sigma)+\mu \\ X=(-0.126\cdot0.8)+9.6 \\ X=-0.1008+9.6 \\ X=9.499 \\ X\approx9.5gr \end{gathered}\)

The value of Z that accumulates 0.55 of probability is 0.126, as before, you have to translate this Z-value into a value of the variable of interest, to do so you have to use the formula of the standard normal distribution and "reverse" the standardization to reach the corresponding value of x:

\(\begin{gathered} b=\frac{X-\mu}{\sigma} \\ b\cdot\sigma=X-\mu \\ (b\cdot\sigma)+\mu=X \end{gathered}\)

Replace the expression with b=0.126, μ=9.6gr, and δ=0.8gr and calculate the value of X:

\(\begin{gathered} X=(b\cdot\sigma)+\mu \\ X=(0.126\cdot0.8)+9.6 \\ X=0.1008+9.6 \\ X=9.7008 \\ X\approx9.7gr \end{gathered}\)

The values of sodium intake between which the middle 10% of American men fall are 9.5 and 9.7gr.

The average American man consumes 9.6 grams of sodium each day. Suppose that the sodium consumption of

If the simple interest on $4000 for 5 years is $1,000 then what is the interest​ rate?

Answers

Answer:

I am not sure but I think it is 5%

Step-by-step explanation:

Translate the following sentence into an equation using n to represent the unknown number. Then solve the equation for n.
six more than twice a number is 16

Answers

Answer:

n=5

Step-by-step explanation:

6 + 2n =16

2n÷2= 10÷2

n = 5

(7th grade math) Hey! I was wondering if someone could hep me with this question, I have one selected but it was random and I'm not sure which one is the answer does anyone mind helping me?

(7th grade math) Hey! I was wondering if someone could hep me with this question, I have one selected

Answers

Answer:

-30f - 32

Step-by-step explanation:

-6(7f+4) + -6(-2f + 3)

-42f+-24+12f+-18

-30f + -32

Answer:

-30f - 42

Step-by-step explanation:

-6(7f + 4) - 6(-2f + 3)

-42f - 24 +12f - 18

-42f - 42 + 12f

-30f - 42

Hope this helps!

Which value of x makes this inequality true? x+9<4x

A.4
B.1
C.3
D.2

Answers

Answer:

A.  4

Step-by-step explanation:

Given inequality:

\(x+9 < 4x\)

Rearrange the inequality to isolate x.

Subtract x from both sides of the inequality:

\(\begin{aligned}x+9-x & < 4x-x\\9& < 3x\end{aligned}\)

Divide both sides of the inequality by 3:

\(\begin{aligned}\dfrac{9}{3}& < \dfrac{3x}{3}\\\\3& < x\\\\x& > 3\end{aligned}\)

So the values of x that make the inequality true are:

Any value of x that is greater than 3.  

Therefore, from the given answer options, the value of x that makes the inequality true is x = 4.

To check this, substitute x = 4 into the inequality:

\(\begin{aligned}x+9& < 4x\\x=4\implies 4+9& < 4(4)\\13& < 16\end{aligned}\)

As 13 is less than 16, the inequality is true when x = 4.

GAIL IS TO BRING 72 COOKIES TO A PARTY.IF THE COOKIES ARE PACKAGE 12 TO A BAG, HOW MANY BAG WILL SHE NEED?​

Answers

Answer:

6 bags

Step-by-step explanation:

72 divide by 12 equals 6.

ANSWER ASAP WILL GIVE EXTRA POINTS AND BRAINLIEST

ANSWER ASAP WILL GIVE EXTRA POINTS AND BRAINLIEST

Answers

Answer: 2/7 will be more

Step-by-step explanation:2/7 times 11 each then gets 22/77 then 3/11 times 7 gives it 21 over 77 22 is more than 21

Answer:

common denom is 77 so 2/7=22/77 and 3/11=21/77

>

The product of two consecutive odd integers is 255. Find the integers.
Note: Each set of brackets represents one solution


100points

The product of two consecutive odd integers is 255. Find the integers.Note: Each set of brackets represents

Answers

Answer:

(15, 17) and (- 17, - 15)

Step-by-step explanation:

Let numbers be x and x + 2.

Their product is 255:

x(x + 2) = 255x² + 2x = 255x² + 2x  + 1 = 256(x + 1)² = 16²x + 1 = ± 161) x + 1 = 16 ⇒ x = 15 and x + 2 = 172) x + 1 = - 16 ⇒ x = - 17 and x + 2 = - 15

5. Determine the value of t4 in an arithmetic sequence given that t₁ = 11 and S9 = 243.

5. Determine the value of t4 in an arithmetic sequence given that t = 11 and S9 = 243.

Answers

The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).

We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.

From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:

243 = (9/2)(2(11) + (9-1)d)

243 = 9(22 + 8d)

243 = 198 + 72d

45 = 72d

d = 45/72 = 5/8

Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:

tₙ = a + (n-1)d

t₄ = 11 + (4-1)(5/8)

t₄ = 11 + 3(5/8)

t₄ = 11 + 15/8

t₄ = 88/8 + 15/8

t₄ = 103/8

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2 people working at the same rate will take 9 hours to paint a room
assuming they ALL work at this rate, how long will it take 3 people to paint the room

Answers

Answer:

4.5 hours

Step-by-step explanation:

2 people working at same rate take 9 hours

so 1 person will take (9)(2) = 18 hours

so 3 people working at same rate will be, since every person halves the time,

18/4 = 4.5 hours

Find the area of the triangle below.
Be sure to include the correct unit in your answer.
24 yd
30 yd
18 yd

Answers

The area is 108yd2(square yards).

In the given triangle a base

24yd and the corresponding height of 6 yds are given, so to calculate the area we can use:

A=12×b×h

If we substitute the given numbers we get:

A=\(\frac{1}{2}\)×24×18

=12×9

=108

The units of base and height are the same (yards), so the calculated area is in yd2

The area is the quantity that expresses the extent of a region on the plane or on a curved surface. the world of a plane region or plane area refers to the area of a shape or planar lamina, while area refers to the area of an open surface or the boundary of a three-dimensional object. The area is often understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the quantity of paint necessary to cover the surface with a single coat. it's the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).

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PLEASE HELP DUE TODAY!!!

#of ice cream treats sold: Day 1=16, Day 2=19, Day 3=28, Day 4=27, Day 5=28, Day 6=36, Day 7=38, Day 8=41, Day 9=41, Day 10=48

#of coffee drinks sold: Day 1=55, Day 2=43, Day 3=51, Day 4=46, Day 5=32, Day 6=36, Day 7=43, Day 8=25, Day 9=10, Day 10=33

5. What is the slope of the line that best fits the data? Use mathematical reasoning and show work.

6. Interpret what the slope means in terms of the situation.

8. Write the equation of the line that best fits the data.

9. Using the equation of the line of best fit, estimate the number of coffee drinks sold on a day that 32 ice cream treats were sold. Write an explanation that justifies your conclusion.

PLEASE HELP DUE TODAY!!! #of ice cream treats sold: Day 1=16, Day 2=19, Day 3=28, Day 4=27, Day 5=28,

Answers

The slope of the line that best suits the data is -0.1463.

slope = \(\sum (( x -\bar x )( y - \bar y )) / \sum ( x - \bar x ) ^2\)

where x is the number of ice cream treats sold, y is the number of coffee drinks sold, x bar is the mean of the number of ice cream treats sold, and ȳ is the mean of the number of coffee drinks sold.

Using the given data, we find that:

\(\bar x =\) (16 + 19 + 28 + 27 + 28 + 36 + 38 + 41 + 41 + 48) / 10 = 32.2

\(\bar y =\) (55 + 43 + 51 + 46 + 32 + 36 + 43 + 25 + 10 + 33) / 10 = 36.4

Next, we calculate the terms needed for the formula:

\(\sum (( x - \bar x )( y - \bar y ))\) = (16 - 32.2)(55 - 36.4) + (19 - 32.2)(43 - 36.4) + ... + (48 - 32.2)(33 - 36.4) = -686.6

\(\sum ( x - \bar x )^2\) = (16 - 32.2)² + (19 - 32.2)² + ... + (48 - 32.2)² = 4690.6

Plugging these values into the formula, we get:

slope = \(\sum (( x - \bar x )( y - \bar y )) / \sum ( x - \bar x )^2\) = -686.6 / 4690.6 = -0.1463

Therefore, the slope of the line that best fits the data is -0.1463.

Interpreting the slope in terms of the situation, we can say that for every additional ice cream treat sold, the number of coffee drinks sold decreases by an average of 0.1463.

To write the equation of the line that best fits the data, we use the slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept. We already know the value of m, so we just need to find b. To do this, we can use the mean values of x and y:

y = mx + b

36.4 = (-0.1463)(32.2) + b

b = 41.9

Therefore, the equation of the line that best fits the data is:

y = -0.1463x + 41.9

To estimate the number of coffee drinks sold on a day that 32 ice cream treats were sold using the equation of the line of best fit, we simply substitute x = 32 into the equation and solve for y:

y = -0.1463(32) + 41.9

y ≈ 36.9

So we can estimate that approximately 36.9 coffee drinks were sold on a day that 32 ice cream treats were sold. This conclusion is justified because we used the equation of the line that best fits the data to make the estimate, which takes into account the overall trend of the data and the relationship between the number of ice cream treats sold and the number of coffee drinks sold. However, it's important to note that this is only an estimate and there may be other factors that could affect the actual number of coffee drinks sold on a particular day.

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I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!

I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

−b4+2b2+35

Step-by-step explanation:

b2+5)(−b2+7)

=(b2)(−b2)+(b2)(7)+(5)(−b2)+(5)(7)

=−b4+7b2−5b2+35

One way of checking the effect of undercoverage, nonresponse, and other sources of error in a sample survey is to compare the sample with known facts about the population. About 12% of American adults identify themselves as black. Suppose we take an SRS of 1500 American adults and let X be the number of blacks in the sample. Use a Normal distribution to estimate the probability that the sample will contain between 165 and 195 blacks.

Answers

Solution :

Given :

p = 12% = 0.12

n = 15..

Mean is defined as the product of a sample size n and the probability p such that :

\($\mu_X = np = 1500 \times 0.12$\)

             = 180

Standard deviation may be defined as the square of a product of the sample size n, the probability p and the probability 1-p :

\($\sigma_X = \sqrt{np(1-p)}$\)

\($\sigma_X = \sqrt{1500 \times 0.12 \times (1-0.12)}$\)

     ≈  12.5857

The z-score is given by :

\($z=\frac {x- \mu}{\sigma } $\)

\($z=\frac {165-180} {12.5857 }$\)

 ≈  -1.19  

\($z=\frac {x- \mu}{\sigma } $\)

\($z=\frac{195-180} {12.5857 }$\)

 ≈  1.19  

Now determining the corresponding probability using table  :

P (165 ≤ X ≤ 195 ) = P (-1.19 ≤ Z ≤ 1.19 )

                            = 1-2 x P(Z < -1.19)

                            = 1-2 x 0.1170

                            = 1-0.2340

                            = 0.7660

                             = 76.60%

"76.06%" would be the probability that the sample will contain between 165 as well as 195 blacks.

Given values,

p = 12%

           = 0.12

n = 1500

The mean will be

→ \(\mu x = np\)

By putting the values,

       \(= 1500\times 0.12\)

       \(= 180\)

The standard deviation will be:

→ \(\sigma x = \sqrt{np(1-p)}\)

       \(= \sqrt{1500\times 0.12\times (1-0.12)}\)

       \(= 12.5857\)

The z-score will be:

→ \(z = \frac{x- \mu}{\sigma}\)

     \(= \frac{165-180}{12.5857}\)

     \(= -1.19\)

and,

→ \(z = \frac{195-180}{12.5857}\)

     \(= 1.19\)

hence,

The probability will be:

→ \(P(165 \leq X \leq 195) = P(-1.19 \leq Z \leq 1.19)\)

                                \(= 1-2\times P(Z < -1.19)\)

                                \(= 1-2\times 0.1170\)

                                \(= 1-0.2340\)

                                \(= 0.7660\)

                                \(= 76.60\) (%)

Thus the answer above is right.  

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Use the model below to calculate 9÷1/3.

A green rectangle is divided into 9 equal parts arranged into 3 rows of 3 cells each.

A.

9/3

B.

3/9

C.

13 1/2

D.

27

Answers

Using thie model ,The answer is D. 27.

To calculate 9÷1/3 using the model below, we can imagine dividing the green rectangle into thirds vertically. Each third would contain 3 cells.

Then, we can see that there are a total of 9 cells in the rectangle. Since we are dividing by 1/3, we need to find out how many sets of 1/3 are in 9.

We can see that there are 3 sets of 1/3 in each row (since each row contains 3 cells, which are thirds). So, in total, there are 3 rows of 3 sets of 1/3, which gives us:

9÷1/3 = 3 rows x 3 sets of 1/3 = 9 sets of 1/3 = 27

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What is the relationship between DE and FG ? Select all that apply.

Answers

Could you add more information like the picture of the figure where these lines are from?

Answer:

I need more info to answer this question.

Step-by-step explanation:

Solve for x
x^2 - 8x = -3

Answers

The solutions for the quadratic equation:

x^2 - 8x = -3

Are:

x = 7.6x = 0.4How to solve the quadratic equation?

Here we want to solve the quadratic equation:

x^2 - 8x = -3

First we can move all the terms to the left side so we get:

x^2 - 8x + 3 = 0

Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:

\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)

Then the two solutions for the quadratic equation are:

x = (8 + 7.2)/2 = 7.6

x = (8 - 7.2)/2 =0.4

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A pair of sneakers is on sale for $85 after 30% off. What is the original price? A. 25.50 B. 55.00 C. 115.00 D. 121.43

Answers

Answer: The answer is D. 121.43

I hope this helps!

Step-by-step explanation:

121.43 x 0.3 =  36.429

Round it up to 36.43

121.43 - 36.43 = 85.00

PLZ HELP!!!

How does the graph change between point A and point C? В B. D WIND E A The graph increases, then decreases. O The graph decreases, then remains constant. O The graph decreases, then increases O The graph increases, then remains constant.

PLZ HELP!!!How does the graph change between point A and point C? B. D WIND E A The graph increases,

Answers

Answer:

option D.

Step-by-step explanation:

the graph from point A to B is increasing and from B to C it's remaining constant..so our answer would be option D..from point A to C the graph increases then remains constant.

Answer:

Step-by-step explanation:

he graph from point A to B is increasing and from B to C it's remaining constant..so our answer would be option D..from point A to C the graph increases then remains constant.

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