Suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of 24. You then compute the sample mean x-bar for each sample. From the long list of sample means, you create the sampling distribution of the sample mean, assigning probabilities to all possible values of x-bar.

Required:
What is the shape of the sampling distribution you would expect to produce?

Based on the information provided, the car that is losing value at a faster rate is the B.

To compare the depreciation rate of both cars, let's calculate the depreciation rate per year.

Car A = 5% per year, which is equivalent to 0.05 (5/100 = 0.05)

Car B = 0.4 per month x 12 = 4.8.

Based on the above, it can be concluded that the car that is losing value at a faster rate is car B because the yearly depreciation rate is much more higher than the one for car A.

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The value of angle x is 133 degree

And the equation of line be of the form,

⇒  y - y₁ = 133(x - x₁)

In the given line,

one angle is of 47 degree

And other is x degree

To find the value of x,

Since we know that,

The angle  of line is 180 degree.

Therefore,

⇒ x + 47 = 180

⇒         x = 133 degree

Therefore slope of this line be 133 degree

Now let this line is  passing through (x₁, y₁)

Hence,

The equation of  line be,

⇒ y - y₁ = (slope)(x - x₁)

⇒  y - y₁ = 133(x - x₁)

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The value of y at the indicated point is √3.

In Mathematics and Geometry, a square root function refers to a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.

In this scenario and exercise, we would determine the y-value by substituting the x-value into the given square root function as follows;

y² = x - 3

By taking the square root of both sides of the square root function, we have:

y = √(x - 3)

When x = 6, the y-value is given by;

y = √(6 - 3)

y = √3

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ln(2e/x)

ln2+ ln e -ln x

ln 2 + 1 - ln x

OPTION D is the correct answer

The answer is D. No, they are not independent, because P(girl) = 0.46 and P(girl | plays a sport) = 0.54.

What is independent event ?

In probability theory, two events A and B are said to be independent if the occurrence of one event does not affect the probability of the occurrence of the other event. That is, the probability of A occurring does not change based on whether B occurs or not, and vice versa.

Mathematically, two events A and B are independent if and only if the probability of their joint occurrence is the product of their individual probabilities:

P(A and B) = P(A) x P(B)

If this equation holds true, then we can say that A and B are independent events. Otherwise, they are dependent events.

According to the question:
The answer is D. No, they are not independent, because P(girl) = 0.46 and P(girl | plays a sport) = 0.54.

Two events A and B are independent if the occurrence of one event does not affect the probability of the occurrence of the other event. In this case, we want to know if being a girl and playing a sport are independent events.

We are given that P(girl) = 0.46, which means that 46% of the students surveyed are girls. We are also given that P(girl | plays a sport) = 0.54, which means that 54% of the students who play a sport are girls.

If being a girl and playing a sport were independent events, then we would expect P(girl | plays a sport) to be equal to P(girl). However, we see that P(girl | plays a sport) = 0.54, which is different from P(girl) = 0.46.

This means that the probability of a student playing a sport is dependent on their gender. Therefore, being a girl and playing a sport are not independent events.

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A number greater than 5 is: P(odd or greater than 5) = 1/2 + 1/6 = 2/3

It depends on the context of the probability question. Here are a few possibilities:

If you're rolling a fair six-sided die, then the probability of rolling an odd or a number greater than 5 on a single roll is:

P(odd or greater than 5) = P(odd) + P(greater than 5) - P(odd and greater than 5)

P(odd) = 3/6 = 1/2 (because there are three odd numbers out of six possible outcomes)

P(greater than 5) = 1/6 (because there is only one number greater than 5)

P(odd and greater than 5) = 0 (because there is no number that is both odd and greater than 5)

So, the probability of rolling an odd or a number greater than 5 is:

P(odd or greater than 5) = 1/2 + 1/6 = 2/3

If you're dealing with a continuous random variable (like the height of people), then the probability of a value being odd or greater than 5 doesn't make sense. However, if you're dealing with a discrete random variable with a known distribution (like the number of customers who enter a store), you can calculate the probability of this event based on the distribution.

In general, it's important to define the context of the probability question and the underlying probability distribution to answer the question properly.

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Answer:

C =81.64 cm

Step-by-step explanation:

The circumference is given by

C = 2* pi *r

The radius is 13

C = 2 * 3.14 * 13

C =81.64 cm

Answer:

\(= 81.64cm \\ \)

Step-by-step explanation:

\(c = 2\pi \: r \\ = 2 \times 3.14 \times 13 \\ = 81.64cm\)

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Answer:

89.4

Step-by-step explanation:

Okay well if  149=100% and there is a 40% we just have to find 60% and to do that we just multiply 149 by 0.60 to get 89.4

149*0.60=89.6

Answer:

(x+4)^2  -25

Step-by-step explanation:

x²+8x-9 in the form  (x+k)² +h.

We need to complete the square.

x^2 +8x   -9

Take the coefficient of x.

8

Divide by 2.

8/2 =4

Square it.

4^2 = 16

Add this then subtract i.

x^2 +8x+16    -16   -9

The x^2 +8x+16 becomes  (x+4) ^2  and we can simplify the remaining terms.

(x+4)^2  -25

Answ you need to find the slope using the coordinates. Then, you need to write the equation in Point-slope form and Slope-Intercept. (If ur teacher wants Standard Form do that too

Step-by-step explanation:

Answer:

She should win approximately 30 times.

Step-by-step explanation:

Since the probability of winning is 3/8, we multiply 3/8 with 80 to get 30.

Answer:

Step-by-step explanation:

-4y = -2x - 3

y = 1/2x + 3/4

y - 4 = 1/2(x + 1)

y - 4/2 = 1/2x + 1/2

y = 1/2x + 5/2

Answer:

Following are the solution to this question:

Step-by-step explanation:

differentail equation:

\(yu_{xy} + u = 0..........(1)\)  

when \(u(x,y) = X(x)Y(y)\)

\(u_x = \frac{\partial u}{\partial  x} X'Y' \\\\ u_{xy} = \frac{\partial^2 u }{ \partial x\ \partial  y}= X'Y'\)

by substituting the value we get:

\(\to \int \frac{Y'}{Y} = -\lambda \int \frac{1}{y} dy\\\\\)

by solving the value:

\(\to Y=c_3 y^{-\lambda}\\\\\therefore\ \ c_4=c_2C_3\\\\\to u(x,y) = c_4 e^{\frac{x}{\lambda}} y^{-\lambda}\)

The solution of the given partial differential equation will be

\(u(x,y)=c_4e^\frac{x}{\lambda}y^{-\lambda}\)

The partial derivative is a way to find the slope in either the x or y direction, at the point indicated.

\(yu_{xy}+u=0..............................(1)\)

Now if \(u(x,y)=X(x)Y(y)\)

\(u_x=\dfrac{\partial u}{\partial x} X'Y'\)

\(u_{xy}=\dfrac{\partial^2u}{\partial x\ \partial y}=X'Y'\)

by substituting the value, we get:

\(\int \dfrac{Y'}{Y}=-\lambda\int\dfrac{1}{y}dy\)

by solving the value:

\(Y=c_3y^{-\lambda}\)

\(c_4=c_2c_3\)

\(u(x,y)=c_4e^\frac{x}{\lambda}y^{-\lambda}\)

Hence the  solution of the given partial differential equation will be

\(u(x,y)=c_4e^\frac{x}{\lambda}y^{-\lambda}\)

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Answer:

(x - 6) (x + 3)

Step-by-step explanation:

Answer: Can I see an image of the word problem?

Answer: In decimal form, 14.85

Answer in fraction form: 297/20

Step-by-step explanation:

The H.C.F. of 30, 45, and 60 using the division method is 30.

To find the H.C.F. (Highest Common Factor) of the given numbers using division method, we can follow these steps:

Let's apply this method to find the H.C.F. of 30, 45, and 60.

Step 1: We start by dividing the larger number, 60, by the smaller number, 30.

60 ÷ 30 = 2 with a remainder of 0

Step 2: Now, we divide the smaller number, 30, by the remainder, which is 0.

30 ÷ 0 = undefined

Since the remainder is zero, we stop the process here. The last divisor we obtained is 30. Therefore, the H.C.F. of 30, 45, and 60 is 30.

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Answer:

w = p/2 - 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's just say this circle has value x.

x increases by 5%, or 0.05 of x.

x + 0.05x = 1.05x

1.05x now increases by 5% again:

1.05x + 0.05(1.05x) = 1.1025x

The total increase is equal to (1.1025-1)*100 = 10.25%

Hope this helps!

Answer:

21.25 is your answer

Step-by-step explanation:

42 + 32 = 84

84 divided by 4 = 21.25

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Answer:

34²/7

Step-by-step explanation:

Take the dam to be a take and the exit of the dam to be a tap at the bottom which is used to empty the tank and the river to be a pipe at the top of the tank that is used to fill the tank

The tap takes 16 week to empty the tank how much will it empty in 1 week =¹/16

The pipe takes 30 week to fill the tank how much will it fill in 1 week =¹/30

¹/16-¹/30= ?

Get the LCM of the denominator which is 240

The fractions are now

15/240-⁸/240=⁷/240

1week=⁷/240 empty

? = 240/240 empty

Cross multiple

240/240×1÷7/240

240/240×1÷240/7=240/7

7÷240=34²/7 weeks

Answer

91.67inch^3

Step-by-step explanation:

The volume of a cone can be calculated using below formula

V= 1/3 π.r^2h

Where h= height of the cone

r= radius of the cone

V= volume of the cone

Given :

height= 11 inches

radius= 5 inches

π= 3.14

Then substitute into the formula we have

V= 1/3 × 3.14× 5^2 ×11

V= 91.67inch^3

Therefore volume of the cone is 91.67inch^3

Answer:

Slope (m) =  

ΔY

ΔX

=  

1

2

= 0.5

θ =  

arctan( ΔY )

ΔX

= 26.565051177078°

ΔX = 5 – 1 = 4

ΔY = 8 – 6 = 2

Distance (d) = √ΔX2 + ΔY2 = √20 = 4.4721359549996

Equation of the line:

y = 0.5x + 5.5

or

y =  

1 x

2

+  11

2

When x=0, y = 5.5

When y=0, x = -11

Answer:

y2 - y1 = Δy, or vertical change, while x2 - x1 = Δx, ... Given the points (3,4) and (6,8) find the slope of the line, the distance between the two points, and the angle of incline: m = 8 - 4. 6 - 3. = 4. 3. d = √(6 - 3)2 + (8 - 4)2 = 5 ...

Step-by-step explanation:

Answer:

3.15

......................................

Answer:

Raymond

Step-by-step explanation:

1 ) Eve and Patty swam fewer laps than Maureen so...

Eve and Patty < Maureen

2 ) Patty swam more laps than Eve...

Patty > Eve

3 ) Maureen swam fewer laps than Raymond...

Maureen < Raymond

4 ) We can eliminate Eve and Patty since they swam fewer laps than Maureen. The ones who are left are...

Maureen and Raymond

5 ) We know that Maureen swam fewer laps than Raymond so we can eliminate Maureen.

Raymond

6 ) This mean that the one who swam the most laps is...

Raymond

Hope this helps! :)

The area of a triangle with side lengths 17, 18, and 19 in simplest radical form is 18√7770

The area of the triangle is calculated using the formula

Area of triangle = √[s(s – a)(s – b)(s – c)]

s = perimeter o the triangle

a, b and c are the lengths of the triangle

s = a + b + c = 17 + 18 + 19 = 54

Area of triangle = √[54 * (54 – 17)(54 – 18)(54 – 19)]

Area of triangle = √[2517480]

Area of triangle = 18√7770

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Answer:

y + 8 > 0.5

Step-by-step explanation:

Let's take a look at each one individually to see whether y = 9 is a possible value for the inequality. First, we'll check out y + 8 < 0.5. If we replace y with 9, we get 9 + 8 < 0.5. 9 plus 8 is 17, so now we have 17 < 0.5. That's not true, because 17 is not smaller than 0.5. So we know that this option is incorrect.

Next, let's look at -y + 8 > 0.5. We replace y with 9 and get -9 + 8 > 0.5, or -1 > 0.5. This isn't true either! -1 is smaller than 0.5, not greater. So this isn't the option either.

We'll now look at y + 8 > 0.5. If we replace y with 9, we get 9 + 8 > 0.5 or 17 > 0.5. This is true, so we can be confident that this is the correct answer! Let's just test the last answer for good measure though.

Is -9 + 8 greater than -0.5? Well, -9 plus 8 is equal to -1, and -1 is not greater than -0.5. So we were correct. y + 8 > 0.5 is true when the value of y is 9.

The total prorations for interest and property taxes to the nearest $100 are:

Proration for interest: $517

Proration for property taxes: $1,754

To calculate the total prorations for interest and property taxes, we need to determine how much the seller owes for each of these expenses up to the closing date of June 15.

First, let's calculate the daily interest rate on the mortgage. We can do this by multiplying the principal amount of the mortgage ($168,745.60) by the annual interest rate (8%) and then dividing by 365 (the number of days in a year):

Daily interest rate = ($168,745.60 x 0.08) / 365 = $36.94

Next, we need to determine the number of days from the start of the month (June 1) to the closing date (June 15):

Number of days = 15 - 1 = 14

Using the daily interest rate and the number of days, we can calculate the proration for interest:

Proration for interest = ($36.94 x 14) = $516.76

To calculate the proration for property taxes, we need to divide the annual property taxes ($3,893.25) by 365 to get the daily property tax rate:

Daily property tax rate = $3,893.25 / 365 = $10.65

Next, we need to determine the number of days from the start of the year to the closing date (June 15):

Number of days = 165

Using the daily property tax rate and the number of days, we can calculate the proration for property taxes:

Proration for property taxes = ($10.65 x 165) = $1,754.25

Therefore, the total prorations for interest and property taxes to the nearest $100 are:

Proration for interest: $517

Proration for property taxes: $1,754

These prorations will be subtracted from the seller's equity, since they are expenses that the seller owes up to the closing date.

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