a pingpong club has 20 members. how many ways are there to choose a president, vice-president and secretary of the club?

For samples of size 48, the mean of the sampling distribution of the mean is 65 and the standard error of the mean is approximately 1.477.

As given, A normally distributed set of population scores has a mean of 65 and a standard deviation of 10.2. Therefore, μ = 65 and σ = 10.2For samples of size n = 48, the mean of the sampling distribution of the mean will be the same as the population mean: μ_M = μ = 65 Hence, the mean of the sampling distribution of the mean is 65.

9) For the population and sample size given in question 8, the standard error of the mean can be calculated using the formula: SEM = σ/√where σ = standard deviation of the population = sample size Substituting the values in the formula, we get: SEM = 10.2/√48 ≈ 1.477Hence, the standard error of the mean is approximately 1.477.

Answer: For samples of size 48, the mean of the sampling distribution of the mean is 65 and the standard error of the mean is approximately 1.477.

SPJ11

Answer:

(5x-2)

Step-by-step explanation:

first factor the quadratic equation

10x²+26x-12 by factoring out the gcf of 2

2(5x²+13x-6)    to factor the quadratic, first multiply ac (5)(-6)

find factors of -30 that multiply to give you -30 and add to give you the middle term 13.

factors -2, 15

take your leading term 5x and put it over the 2 factors, then reduce when necessary.  it is not necessary to use the 5x² because the x in the denominator cancels one out)

5x/-2 and 5x/15 (this one can be reduced to x/3

(5x-2)(x+3) are the factors.

the shared factor is (5x-2)

Answer:

they share 5x-2 as common factor

Step-by-step explanation:

10x² + 26x – 12 and 2(5x – 2)(x – 3)

10x² + 26x – 12  take 2 as common factor

2(5x²+13x-6)     factorize

2(5x-2)(x+3)

they share 5x-2 as common factor

Answer:

(−2,10)

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Answer:

$10668.67

Step-by-step explanation:

If the car value goes down 16% each year, after the first year, it will be worth 1520.

The next year, it will be worth $12700.80

After the third year, the car will be worth $10,668.67

Answer:

"D" only 1 & 2

Step-by-step explanation:

Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Answer:

B

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Answer:

See attached

Step-by-step explanation:

13450 = 13000 + 400 + 50

Answer:

y=3x-1

Step-by-step explanation:

In parallel lines, the slope stays the same and the y-intercept changes. Hope this helps and I'm always here if you need me!

Answer:

1) false

2) true

3) (-2,2)

Step-by-step explanation:

use the coordinates for 1,2 into the equations under to check if the coordinate answer is correct or not. for the first coordinate, equation one is correct but equation two doesn't work with the coordinate.

for question 3, look at where the lines intercept on the graph

I got 7

7, it's the right answer

The length of side b is 56m, angle A is 45°, and angle C is 67°.

In the given triangle with side lengths a = 74m, b ≈ 56m, and c = 36m, the length of side b is approximately 56m.

To solve the triangle, we can use the Law of Cosines and the fact that the sum of angles in a triangle is 180 degrees. Given angle B = 67°51', we have:

Using the Law of Cosines, we have:

b² = a² + c² - 2ac * cos(B)

Substituting the known values:

b² = 74² + 36² - 2 * 74 * 36 * cos(67°51')

Calculating the value of b:

b ≈ √(74² + 36² - 2 * 74 * 36 * cos(67°51'))

b ≈ 55.92m (rounded to the nearest whole number, b ≈ 56m)

Using the Law of Cosines again, we have:

cos(A) = (b² + c² - a²) / (2 * b * c)

Substituting the known values:

cos(A) = (56² + 36² - 74²) / (2 * 56 * 36)

Calculating the value of A:

A = cos⁻¹((56² + 36² - 74²) / (2 * 56 * 36))

A ≈ 45° (rounded to the nearest whole number)

Using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

Substituting the known values:

C ≈ 180° - 45° - 67°51'

Calculating the value of C:

C ≈ 67°9' (rounded to the nearest whole number, C ≈ 67°)

Therefore, in the given triangle, the length of side b is approximately 56m, angle A is approximately 45°, and angle C is approximately 67°.

Learn more about the Law of Cosines

brainly.com/question/17289163

#SPJ11

The critical value for a 0.05 significance level with df = 6 is approximately 0.632.To find the critical value for the linear correlation coefficient, we need to use a table or a statistical calculator that provides critical values for different significance levels.

Assuming a significance level of 0.05, which corresponds to a confidence level of 95%, we can find the critical value using the degrees of freedom (df), which is equal to the number of pairs minus 2 (n - 2) in this case.

For a two-tailed test, the critical value for a 0.05 significance level with df = 6 is approximately 0.632.

Now, we compare the calculated correlation coefficient (0.693) with the critical value (0.632).

If the calculated correlation coefficient is greater than the critical value in absolute value, then there is sufficient evidence to support the claim that there is a linear correlation between the heights of mothers and the heights of their daughters.

Since |0.693| > 0.632, we can conclude that there is sufficient evidence to support the claim that there is a linear correlation between the heights of mothers and the heights of their daughters at the 0.05 significance level.

To learn more about critical value go to:

https://brainly.com/question/31213260

#SPJ11

Step-by-step explanation:

The information provided says that angle 1 is supplemental to angle 2 which means that both angles added together equal 180 degrees. Since angle 1 equals 68 degrees it means that 180 degrees minus 68 degrees of angle one gives us the answer of angle 2 equals 112 degrees. Angle 1 is complimentary with angle 3 which means they equal 90 degrees together and with angle 1 being equal to 68 degrees then angle 3 equals 22 degrees. Lastly angle 2 minus angle 3 = 112 - 22 = 90 degrees

The actual length of the back patio is 30 meters.

Given information:

Ayana measured a house and its lot and made a scale drawing. She used the scale 14 millimeters: 5 meters.

In the drawing, the back patio is 84 millimeters long.

If 14 millimeters in the drawing represent 5 meters in reality, then we can set up a proportion to find the length of the actual patio:

14 mm : 5 m = 84 mm : x

Cross-multiplying, we get:

14 mm (x) = 5 m (84 mm)

To simplify, we have:

x = (5 m  84 mm) / 14 mm

x = 30 m

Therefore, x = 30 m.

To learn more about multiplication;

https://brainly.com/question/19634536

#SPJ1

Answer:

(3, -6)

Step-by-step explanation:

Both equations are equal to y, so you can make them equal to each other:

-2x = 5x-21

Get the same terms on the same side by subtracting 5x from both sides"

-7x = -21

Get x alone by dividing both sides by -7:

x = 3

The simplest way to find y is by filling in 3 for x in the first equation:

y = -2(3)

Multiply:

y = -6

Check your answer by filling in 3 for x in the second equation:

y = 5(3) - 21

Multiply:

y = 15 - 21

Subtract:

y = -6

To check both answers together, fill in 3 for x and -6 for y in both equations (although we already checked both answers above):

-6 = -2(3)

-6 = -6

-6 = 5(3) - 21

-6 = 15 - 21

-6 = -6

Answer:

3,-6

Step-by-step explanation:

Calculation of market rate of interest at the time of purchasing the bondThe information given in the problem is as follows:FV = $1000PMT = (7% of 1000)/2 = $35 (semiannual)N = 10 * 2 = 20 (semiannual)Semi-annual yield = 7% (coupon rate)/2 = 3.5%

Using the above-given information, the value of the bond can be calculated as follows: The price of the bond at the time of purchase = $1000 = PV= $832.67This implies that the market rate of interest at the time of purchasing the bond was 8.5%.b)

Calculation of selling the bond todayThe market rate of interest is now 8%. Using the given formula, the value of the bond can be calculated as follows: 
PMT = (7% of 1000)/2 = $35 (semiannual)N = 10 * 2 = 20 (semiannual)The price of the bond today = $881.57
Quoted price of bond = 88.16% = 0.8816 x $1000 = $881.6Current yield on bond = (70/881.6) x 100 = 7.94%Annual holding period return on bond = [(881.57-832.67) / 832.67] / 6.5 = 0.59%Suppose the bond is offered at $950, the holding period return will be calculated as follows: 
Holding period return = [(950-832.67) / 832.67] / 6.5 = 1.42%As per the given scenario, the annual holding period return on the bond is 0.59%. So, it can be concluded that the friend's offer is better than the current return. So, it is recommended to sell the bond to the friend.

The market rate of interest at the time of purchasing the bond was 8.5%.The price of the bond today = $881.57.The quoted price of the bond is $881.6.The current yield on bond is 7.94%.The annual holding period return on bond is 0.59%.The holding period return if bond is sold to a friend for $950 is 1.42%.

To know more about market rate   visit

https://brainly.com/question/33041149

#SPJ11

Answer:

0

Step-by-step explanation:

As 27 is a constant, on differentiating it would give zero.

pls mrk me brainliest i need to get the next rank

Answer:

42

Step-by-step explanation:

bases : 4+8= 12 .   12/2 = 6

height = 7

7•6 = 42

Please mark me brainliest to help me get Ace rank

Sure! Here's a system of equations that has a solution of (-2, 4):

Equation 1:

2x - y = -10

Equation 2:

3x + 2y = -2

This system of equations has a solution of (-2, 4) because when we substitute x = -2 and y = 4 into both equations, we get:

Equation 1:

2(-2) - 4 = -10

-4 - 4 = -10

-8 = -10 (True)

Equation 2:

3(-2) + 2(4) = -2

-6 + 8 = -2

2 = -2 (False)

The solution (-2, 4) satisfies Equation 1 but does not satisfy Equation 2. However, since the question only asked for a system of equations with the given solution, this system meets that requirement.

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ11

Answer:

x=24

Step-by-step explanation:

3/4(x-8)=12

Multiply each side by 4/3

4/3*3/4(x-8)=12*4/3

x-8 = 16

Add 8 to each side

x-8+8 = 16+8

x=24

Answer:

x = 24

Step-by-step explanation:

Essentially, you need to break this apart.

You need to isolate the x to figure it out with division or something.

To isolate, you need to get rid of the numbers around it.

To get rid of the 3/4, you can convert it to a decimal to make it easier, and then divide both sides by 0.75 to get rid of it on the x's side.

You now have

x-8 = 12/0.75

You can quickly punch the right side into a calculator to make it easier.

x - 8 = 16

You then add 8 to both sides to finish off the x, to get

x = 24

Answer:

F=24

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

4 x f/4 = 4 x 6

So f=24

Answer:

hi

Step-by-step explanation:

Answer:

5374771.2

Step-by-step explanation:

To find the lateral area of a pentagonal pyramid, you need to calculate the sum of the areas of the five triangular faces that make up the sides of the pyramid.

The formula for the lateral area of any pyramid is given by L = (1/2)Pl, where P represents the perimeter of the base and l represents the slant height of each triangular face.

In the case of a pentagonal pyramid, the base is a pentagon, which means it has five sides. To calculate the perimeter of the base, you can add the lengths of all five sides. Once you have the perimeter, you need to find the slant height, which is the distance from the apex (top) of the pyramid to the midpoint of any side of the base triangle.

Once you have the perimeter and slant height, you can substitute these values into the formula L = (1/2)Pl to calculate the lateral area of the pentagonal pyramid.

It's important to note that the lateral area only considers the surface area of the sides of the pyramid, excluding the base. If you want to find the total surface area, you need to add the area of the base as well.

For more such answers on pentagonal pyramid,

https://brainly.com/question/28226952

#SPJ8

A network of roads is a blueprint of how each towns or cities are linked by a path or road. So that in the given question, the different routes to travel from T to W with respect to the given conditions are:

i. TNW

ii. TSW

iii. TOW

iv. TOSW

v. TNSW

vi. TNSOW

vii. TOSNW

viii. TSNW

ix. TSOW

There are nine (9) different routes from T to W.

A route is either a path or road that links or connects two or more villages, cities or towns. Thus, a person can travel or be conveyed from one town to the other, or city (village) to another, depending of the road network. Road network is the cobweb of connecting roads among cities.

Considering the network of roads in the given diagram and the conditions for travelling from T to W, then the number of routes is nine. And these routes are:

Given that no part of the route should be retraced or going to any town more than once per route.

Visit: https://brainly.com/question/734196

Answer:

More advanced transformation geometry is done on the coordinate plane. The transformation for this example would be T(x, y) = (x+5, y+3). A reflection is a "flip" of an object over a line.

Answer: y = -1x + 3

Step-by-step explanation:

Point-Slope form: y - y1 = m(x-x1)

Replace the form with the values provided:

y - 15 = -1(x+12)

Once you get this, you need to get y by itself in order to get it in slope intercept form.

Distribute:

y -15 = -1x - 12

Add -15 to the right side:

y = -1x + 3

Answer: B,D,E on usatestprep

Step-by-step explanation:

We can expect to pick either a red or white disk approximately 70 times in 250 trials as the probability of picking either a red or white disk on any given trial is =  7/25.

In mathematics, the probability is a measure of the likelihood that an event will occur. It is expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur. The probability of an event A is denoted by P(A).

The probability of picking either a red or white disk on any given trial is the sum of the probabilities of picking a red disk and a white disk.

The probability of picking a red disk on any given trial is 5/25 = 1/5 since there are 5 red disks out of a total of 25 disks. Similarly, the probability of picking a white disk on any given trial is 6/25.

So, the probability of picking either a red or white disk on any given trial is:

P(red or white) = P(red) + P(white) = 1/5 + 6/25 = 7/25

To find the expected number of times of picking either a red or white disk in 250 trials, we multiply the probability of picking a red or white disk by the number of trials:

Expected number of red or white disks = (7/25) * 250 = 70

To know more about the probability  visit:

brainly.com/question/30034780

#SPJ1