10.2 is 21.25% of what number?​

Answer:

Um, hi...do you have a question at all??

Step-by-step explanation:

Answer:

a) Identify the variable of interest.

Ages of the residents

b) Describe the center and spread of the population of Sunshine City.

Center of the population of Sunshine city = 63 years

Spread of the Population of Sunshine city = 17 years

c) Describe the center and spread of the random sample of Sunshine City

residents taken.

Center of the random sample of Sunshine city = 61.4 years

Spread of the random sample of Sunshine city = 19 years

What shape does it probably have:

It has a skewed(left) shape

Step-by-step explanation:

a) Identify the variable of interest.

Ages of the residents

The center of a distribution tells us about the Mean or Median of the distribution

The spread of a distribution tells us about the standard deviation of the population

b) Describe the center and spread of the population of Sunshine City.

Center of the population of Sunshine city = Mean of the population of Sunshine city = 63 years

Spread of the Population of Sunshine city = Standard Deviation of the population = 17 years

c) Describe the center and spread of the random sample of Sunshine City

residents taken.

Center of the random sample of Sunshine city = 61.4 years

Spread of the random sample of Sunshine city = 19 years

What shape does it probably have:

It has a skewed(left) shape

This is because the mean is farther out to the left side of the tail of the distribution.

Answer:

B

Step-by-step explanation:

To solve for the slope:

(2-(-3))/(4-2)=5/2

y=5/2x+b

plugin points:

2=5/2(4)+b

2=10+b

b=-8

so equation of the line is y=5/2x-8

and in standrd form its 5x-2y=16

Answer: Mathematical distance is defined as the amount of space between two points. This distance can be calculated using the distance formula, which is just a derivation of the Pythagorean theorem, which is used to find the length of any one side of a right triangle when you know the other two sides

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

We are given the equation, 6x-2=x+13.

1. 6x=x+15

2. 5x=15

3. x=3

Hope this helps! Good luck on your assignment!

Answer: x=3

Step-by-step explanation:

6x-2=x+13

First get both x’s on one side

We are going to subtract x from both sides

5x-2=13

Now we want to get 5x alone

We are going to add 2 to both sides

5x=15

Now we want to get x alone

We are going to divide by 5

x=3

Answer:

I think its a... carrot

Answer:

204+272+9

Step-by-step explanation:

Answer:

(3, 9)

Step-by-step explanation:

If we have ≤ or ≥, we use brackets to signify it includes the values.

If we have < or >, we use parenthesis to signify it doesn't include the values.

Answer:

42 blocks

Step-by-step explanation:

If each block is 2 inches, and the height of the door is 84 inches, you need to divide the height by the block size. Once you divide 84 by 2, you should get 42 blocks as your answer.

Answer:

It will take 31 days (4 weeks and 3 days) to write 279 emails

Step-by-step explanation:

279 emails ÷ 9 emails per day = 31 total days to write 279 emails

-2/3(12c - 9) + 14c

=-8c + 6 + 14c

=6c + 6

=6(c + 1)

Answer:

Step-by-step explanation:

x - 15 = 12

x = 27

Answer:

the value of m will be 20

Answer:

y=-1x+4

Step-by-step explanation:

Answer:

2 x ^3 + 8 x ^2− 4 x

Step-by-step explanation:

Just simplify!

Answer:

a

[tex]G  =   0.007523 [/tex]

b

 The  number of cars the  highway patrol officer would watch before a  car that is seen is [tex]E(X) = 1.6027 [/tex]

The standard deviation is   [tex]s  =  0.9829 [/tex]

gg

Step-by-step explanation:

From the question we are told that

The mean is [tex]\mu = 71.5 \ miles/hour[/tex]

The standard deviation is [tex]\sigma = 4.75 \ miles/hour[/tex]

The speed limit is [tex] x = 70 \ miles /hour[/tex]

Generally the probability of getting a car that is moving with speed greater than the speed limit is mathematically represented as

[tex]p =P(X > x ) = P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})[/tex]

=> [tex] p= P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})[/tex]

=> [tex] p= P(X > 70) = P(\frac{X - \mu }{\sigma } > -0.31579 )[/tex]

Here

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

So

=> [tex] p= P(X > 70) = P(Z > -0.31579 )[/tex]

From the z-table

[tex]p = P(Z > -0.31579 ) = 0.62392[/tex]

So

[tex] p = P(X > 70) = 0.62392 [/tex]

Generally the probability of getting a car that is not moving with speed greater than the speed limit is mathematically represented as

[tex]q = 1 - p[/tex]

=> [tex]q = 1 - 0.62392 [/tex]

=> [tex]q = 0.37608 [/tex]

Generally the probability of getting 5 cars that are not speeding is mathematically represented as

[tex]G = q^5[/tex]

=> [tex]G = (0.37608)^5[/tex]

=> [tex]G = 0.007523 [/tex]

Generally the number of cars that the highway patrol officer is expected to watch until the first car that is speeding is gotten is mathematically represented as

[tex]E(X) = \frac{1}{p}[/tex]

=> [tex]E(X) = \frac{1}{0.62392}[/tex]

=> [tex]E(X) = 1.6027 [/tex]

Generally the standard deviation is mathematically represented as

[tex]s = \sqrt{\frac{1 - p }{ p^2} }[/tex]

=>     [tex]s  =  \sqrt{\frac{1 -0.62392 }{ (0.62392)^2} }[/tex]

=> [tex]s = 0.9829 [/tex]

The probability that 5 cars pass and none are speeding is 0.007523 and the number of cars the highway patrol officer would watch before a car that is seen is E(X) = 1.6027

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 71.5 miles/hour and a standard deviation of 4.75 miles/hour.

The speed limit on this stretch of the freeway is 70 miles/hour.

Generally, the probability of getting a car that is moving with speed greater than the speed limit is mathematically represented as;

[tex]p = P(X > x) = P(X > 70) = P(z = \dfrac{X - \mu}{\sigma } > \dfrac{70 - 71.5}{4.75})\\\\p = P(X > 70 ) = P(\dfrac{X -\mu}{\sigma} > -0.31579)[/tex]

From the z-table

[tex]p = P(X > 70)= P(z > -0.31579) \\\\p = 0.62392[/tex]

Generally, the probability of getting a car that is not moving with speed greater than the speed limit will be

q = 1 - p

q = 1 - 0.62392

q = 0.37608

Generally, the probability of getting cars that are not speeding will be

G = q⁵

G = 0.37608⁵

G = 0.007523

The number of cars that the highway patrol officer is expected to watch until the first car that is speeding is gotten will be

[tex]\rm E(X) = \dfrac{1}{p}\\\\E(X) = \dfrac{1}{0.62392}\\\\E(X) = 1.6027[/tex]

The standard deviation will be

[tex]\sigma = \sqrt{\dfrac{1-p}{p}}\\\\\\\sigma = \sqrt{\dfrac{1-0.63292}{0.62392}}\\\\\\\sigma = 0.9829[/tex]

More about the normal distribution link is given below.

https://brainly.com/question/12421652

Answer:

answer what???

Step-by-step explanation:

Step-by-step explanation:

hey, write the question properly...

If the equation are 3y + 12= 5,4x - 3= 8 and z³ + z⁴ = 2, then x = y

Let's start by solving each equation one by one to find the values of the variables.

Equation 1: 3y + 12 = 5

Subtracting 12 from both sides:

3y = 5 - 12

3y = -7

Dividing both sides by 3:

y = -7/3

Equation 2: 4x - 3 = 8

Adding 3 to both sides:

4x = 8 + 3

4x = 11

Dividing both sides by 4:

x = 11/4

Equation 3: z³ + z⁴

This equation is a bit more complex, and it seems challenging to find the exact values of z. However, we can deduce some information about the relationship between z³  and z⁴ by examining the equation. Since both terms are positive, the sum of z³  and z⁴ can never be negative. Therefore, the only possible solution is when both z³  and z⁴  are less than 2.

Now, let's compare the values of y, x, and z:

y = -7/3 ≈ -2.33

x = 11/4 ≈ 2.75

z³ + z⁴ < 2 (as explained above)

Based on these values, we can determine the relationship between the variables:

A. y > x

B. x = y

C. y > z

D. x > z

The correct answer is: B. x = y

To know more about equation here

https://brainly.com/question/21835898

#SPJ2

Answer:

D. f(x)  divided by (x−1)  has a remainder of 0.

C. (x−1)  is a factor of  f(x) .

Step-by-step explanation:

Just took a test with this question these are the answers!

The statements that are true about the polynomial function are;

Given the polynomial function [tex]f(x)=x^3-x^2-4x+4[/tex]

If x = -1, hence;

[tex]f(-1)=(-1)^3-(-1)^2-4(-1)+4\\f(-1)=-1-1+4+4\\f(-1)=-2+8\\f(-1) =6[/tex]

This shows that f(x) ≠ 0 when x = −1 .

To check if x - 1 is a factor, we will substitute x = 1 into the function and check if the result is zero as shown:

[tex]f(1)=1^3-1^2-4(1)+4\\f(1)=1-1-4+4\\f(1) =0[/tex]

Learn more here: https://brainly.com/question/18820029

Answer:

40

Step-by-step explanation:

The new cost of the Xbox is $165.60

1.00 - 0.28 = 0.72

0.72 * 230 = 165.60

Answer:

[tex]Dom(f)=(-\infty, -3 )\cup (-3, 3 )\cup (3,-\infty )[/tex]

[tex]Ran(f)=\matyhbb{R}[/tex]

Step-by-step explanation:

[tex]f(x)=\dfrac{x}{x^2-9}[/tex]

Once the denominator can't be zero, [tex]x\neq 3[/tex] and [tex]x\neq -3[/tex]

[tex]Dom(f)=(-\infty, -3 )\cup (-3, 3 )\cup (3,-\infty )[/tex]

The range from the graph is all Real numbers

Answer:

-5

Step-by-step explanation:

[tex] \frac{3 - 8}{3 - 2} [/tex]

[tex] \frac{ - 5}{1} [/tex]

[tex] - 5[/tex]

Answer:

37.592 cm

Step-by-step explanation:

Answer:

you just did

Step-by-step explanation:

Answer:

2 standard deviation under his average time

Step-by-step explanation:

Answer:

The sides of the pigpen are 3 by 17

Step-by-step explanation:

Perimeter of pigpen => 2x + 2y = 40

Area of pigpen => xy = 51 (this is assuming x = length, and y = width)

Let's isolate "y" for the first equation;

2x + 2y = 40

2(x + y) = 40

x + y = 20

y = 20 - x

xy = x(20 - x) = 51 = 51

20x - x^2 = 51

x^2 - 20x + 51 = 0

According to the quadratic equation =>

x = ( - (- 20) + √(- 20)^2 - 4 * 1 * 50 ) / 2 * 1 = 17

x = ( - (- 20) - √(- 20)^2 - 4 * 1 * 50 ) / 2 * 1 = 3

The dimensions of the pigpen are actually 17 by 3

Proof: 17(3)= 51, 2(17) + 2(3) = 40