USH financial is examining the use of its midtown ATM machine. Here are the numbers of transactions made per day at this ATM during the past 9 days.
53,21,46,33,9,46,8,10,8

The sample size used in the survey can be calculated by dividing the population standard deviation by the standard error of the mean, resulting in a sample size of 25.

The sample size can be determined by dividing the population standard deviation by the standard error of the mean. In this case, the population standard deviation is given as 500, and the standard error of the mean is 20. Therefore, the sample size can be calculated as 500/20 = 25. This means that the researcher used a sample size of 25 for the survey.

To find the probability that the point estimate was within ±25 of the population mean, we need to calculate the z-score and use it to determine the corresponding probability. The formula for calculating the z-score is (point estimate - population mean) / standard error. In this case, the range is ±25, so we can use 25 as the point estimate.

Using the z-score formula, the z-score can be calculated as (25 - 0) / 20 = 1.25. We can then use a standard normal distribution table or calculator to find the probability associated with this z-score. The probability of the point estimate being within ±25 of the population mean can be found by doubling the probability associated with the z-score (since we are considering both sides of the distribution).

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Answer:C is supposed to be in eight and six/ 8 and 10 should be 40

Step-by-step explanation:

Answer:

1=8, 2=24, 3=40

Step-by-step explanation:

The image of the points after they are reflected across the x-axis are J'(1, -9), K'(7, -4), L'(8, -13), M'(-2, -1)

From the question, we have the following parameters that can be used in our computation:

J(1, 9), K(7, 4), L(8, 13), M(-2, 1)

Also from the question we have the transformation to be

Transformation: reflection across the x-axis

The rule of the reflection across the x-axis is represented as

(x, y) = (x, -y)

Substitute the known values J(1, 9), K(7, 4), L(8, 13), M(-2, 1) in the above equation, so, we have the following representation

J'(1, -9), K'(7, -4), L'(8, -13), M'(-2, -1)

Hence, the image of the points are J'(1, -9), K'(7, -4), L'(8, -13), M'(-2, -1)

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Answer:

The letter C represents as an unknown number or it can just stand for a word that starts with a C in a word problem. Answer: C= 0.01

Step-by-step explanation:

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The function F(g(9))= 179

Given ,Function F (n) = 3n-1

g(n) = n² - 2n-3

g(9)= 9²-2(9)-3

= 81-18-3

g(9) = 60

F(g(9))=F(60)

= 3(60)-1

 = 179

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x.

In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain.

The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.

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Answer:

67.89 is rational

Step-by-step explanation:

67.89 is a terminating decimal, so it is a rational number.

Answer:

$15,000

Step-by-step explanation:

Let P represent Aiden's current pay.

If they receive a pay rise of 15%, that means they receive their original pay plus 15% of that original pay.

P + 0.15P = 17250

1.15P = 17250

P = 17250/1.15 = 15000

His salary before the increase was $15,000.

Answer:

$14662.5

Step-by-step explanation:

Aiden receives a pay rise of 15%

increases their pay to $17,250

15% of $17,250 is $2587.5 therefore $17,250 - $2587.5 is his salary before the increase which is 14662.5 so aiden had $14662.5 before his salary increase

Answer:

A), C), E)

Step-by-step explanation:

Answer:

18 units

Step-by-step explanation:

since the y- coordinates are equal then the 2 points lie on a horizontal line and the distance (d) between them is the absolute value of the x- coordinates, that is

d = | - 4 - 14 | = | - 18 | = 18

or

d = |  14 - (- 4) | = | 14 + 4 | =   18  = 18

Mr. Jones will be able to eat at the buffet restaurant approximately 4 times in a month.

To determine how many times Mr. Jones will be able to eat at the buffet restaurant based on his budget, we need to divide his monthly budget by the cost per visit.

Mr. Jones budgets $42 for the month, and the cost per visit is $9.

Number of visits = Monthly budget / Cost per visit

= $42 / $9

≈ 4.67

Since we cannot have a fractional number of visits, we round down to the nearest whole number because Mr. Jones cannot have a partial visit. Therefore,

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Answer:

SSS

Step-by-step explanation:

The chance that you will both win the raffle and win $500 is 0.0025, or 0.25%.

To find the chance of both winning the raffle and correctly guessing the organizer's favorite season, you need to multiply the probabilities of these two independent events.

Step 1: Determine the probability of winning the raffle.
The probability of winning the raffle is given as 0.01.

Step 2: Determine the probability of correctly guessing the favorite season.
The probability of correctly guessing the favorite season is given as 0.25.

Step 3: Multiply the probabilities of the two independent events.
To find the probability of both events happening, you multiply their probabilities: 0.01 (winning the raffle) * 0.25 (correctly guessing the favorite season).

0.01 * 0.25 = 0.0025

So, the chance that you will both win the raffle and win $500 is 0.0025, or 0.25%.

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The probability of both winning the raffle and correctly guessing the organizer's favorite season to win the $500 prize is 0.0025 or 0.25%.

To find the probability of both winning the raffle and guessing the organizer's favorite season correctly, you'll need to multiply the individual probabilities of each event.

Probability of winning the raffle: 0.01 (given in the question)
Probability of guessing the organizer's favorite season: 0.25 (given in the question)
Now, multiply these probabilities together:
0.01 * 0.25 = 0.0025.

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Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

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Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

Answer:

The area of the shaded region is the difference between the area of the entire polygon and the area of the unshaded part inside the polygon. The area of the shaded part can occur in two ways in polygons.

Step-by-step explanation:

Observe that the area of the unshaded region is equal to the area of the shaded region subtracted from the area of the rectangle, i.e. . ar(Unshaded) = ar(ABCD) – ar(Shaded).

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Answer:

128

Step-by-step explanation:

2^7 = 2×2×2×2×2×2×2 = 128

Answer:

\(2^{7} = 128\)

Step-by-step explanation:

\(2^{7}\) is the same as:

= 2 × 2 × 2 × 2 × 2 × 2 × 2

= 128

Answer:

B

Step-by-step explanation:

a fraction is equal to 0 when the numerator is 0

x - 4 = 0

x = 4

The correct answer is x=4.

Step-by-step explanation:

When the numerator is 0, a fraction is equal to 0.

x - 4 = 0

x = 4

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Answer:

2/7 or about 29%

Step-by-step explanation:

2 are blue and there are 7 cards total so 2/7 and 2 divided by 7 is .2857 or .29 (29%).

Answer:

2/7

Step-by-step explanation:

There are 7 envelopes and 2 blue envelopes so the probability that the envelope will be blue is 2/7

240÷90= between 2 and 3

170÷60= between 2 and 3

250÷80= between 3 and 4

140÷40= between 3 and 4

170÷70= between 2 and 3

110÷30= between 3 and 4

there we go! :)

Answer:

$25

Step-by-step explanation:

Let X = total cost of game

         (3/5) X = $15

Multiply both sides of equation by 5/3

  (5/3)(3/5) X = (5/3) $15

                  X = $25

cost of game is $25

Answer:

f(x) = -38 :)

Step-by-step explanation:

f(x) = -3x - 5

        -3(11) - 5

     = -38

Answer:

The answer is f(x) = -38

Step-by-step explanation:

f(x) = -3x - 5 -3(11) - 5 = -38

===================================================================

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Answer:

12,100 feet

Step-by-step explanation:

The longest run way at an airport has the shape of a rectangle and an area of 1,573,000 sq ft. This run way is 130 feet wide. How long is the run way?

The area of a rectangle = Length × Width

Width = 130 feet

Area = 1,573,000 sq ft

The Length = Area/Width

= 1,573,000 sq ft/130 feet

= 12,100 feet

Therefore, the runaway is 12,100 feet long.

The description that accurately explains how a fair decision can be made in this situation is : IF a ball with number 4 and 5 are picked you order the largest size, if a ball with number 4 and another with number 4 is picked you order the medium size, but if the balls picked are that of number 2 and 4, then you order a small size. The probability of each result occurring is a fair one.

Probability is the degree of occurrence of an event. it can also be said to be the chance for an event to occur.

Probability helps us know the chance an event has to occur. The closer it gets to zero(0) the less chance it has to occur. The closer it gets to one(1) the more chance it has to occur.

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If we denote the probability of hitting a bullseye on a dartboard with radius 12 inches as a function of the size of the bullseye, we can refer to this function as PS.

The function PS represents the probability of hitting the bullseye and is dependent on the size of the bullseye. The larger the bullseye, the higher the probability of hitting it, and vice versa. By adjusting the size of the bullseye, we can determine the corresponding probability of hitting it using the function PS.

It's important to note that without specific information about the relationship between the bullseye size and the probability, it's not possible to provide a specific mathematical expression or further details about the PS function. The function would need to be defined or provided to calculate the probability accurately.

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Answer:

7 statues

Step-by-step explanation:

Step 1: Divide the paint remaining by the paint required by each statue (We are doing this because \(\frac{1}{8}\) is 1 statue, so to find how many we need, divide \(\frac{7}{8}\) by that.)

\(\frac{7}{8}\div \frac{1}{8}\\\\\frac{7}{8}\times \frac{8}{1}\\\\=\frac{7}{1}\\\\= 7\)

Therefore, Diana can paint 7 statues.

Sam lives 15 km far from work.

What is the average speed?

The object's overall distance in a given time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.

The average speed is calculated by dividing the total distance traveled by the total amount of motion time. The average speed is a scalar quantity, in contrast to the average velocity.

Here, we have

Given: If Sam drives to work at an average speed of 60km/hr, she arrives two minutes early. If she travels at 45km/hr she arrives three minutes late.

We have to find out how far she lives from work.

When speed is 45 km/hr he reaches 3 minutes late when Speed is 60 km/hr he gets 2 minutes earlier.

Distance = Speed×Time

D/45 - D/60 = 5 min

D/45 - D/60 = 5/60

D = 5×180/60

D = 15 km

Hence, Sam lives 15 km far from work.

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Answer: 5 is your answer hope this helped

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Step-by-step explanation: