What is
6+4-3+9x10-7+3x28-2=

1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.

3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.

4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.

5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.

6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.

The nearest tenth, the distance between Kelvin's house and Mitch's house is approximately 2.2 units.Since the store is located exactly halfway between Kelvin's house and Mitch's house, we can use the midpoint formula to find Mitch's house coordinates.

The midpoint formula states that the midpoint between two points (x₁, y₁) and (x₂, y₂) is given by:

Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Using the given information, Kelvin's house coordinates are (3, 4), and the store coordinates are (1, 0). Let's use the midpoint formula:

Midpoint = ((3 + 1) / 2, (4 + 0) / 2)

= (4 / 2, 4 / 2)

= (2, 2)

So, Mitch's house coordinates are (2, 2).Now, we can calculate the distance between Kelvin's house and Mitch's house using the distance formula:

Distance = sqrt((x₂ - x₁)² + (y₂ - y₁)²)

= sqrt((2 - 3)² + (2 - 4)²)

= sqrt((-1)² + (-2)²)

= sqrt(1 + 4)

= sqrt(5)

≈ 2.24

The nearest tenth, the distance between Kelvin's house and Mitch's house is approximately 2.2 units.

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Answer:

8 feet

Step-by-step explanation:

Let's start by remembering what we know about rectangles. The area of a rectangle is equal to the length multiplied by the height:

A = l x h

To find the height of the wall, we will divide the area by the length to isolate the unknown variable on one side of this equation:

h = 96/12 = 8 feet

Hope this helped!

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Answer:

D.

6x + 12y ≥ 150

Step-by-step explanation:

Since it says at least 150 a week that means you can have 150 or more and the sign ≥ is greater than or equal to

Hope this helps^^

Answer:

D.

Step-by-step explanation:

The value of measure of arc JK is,

⇒  (arc KJ) = 28 degree

Since, The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

Measure of arc KL = 152°

Now, We know that;

⇒ m (arc LK) + m (arc KJ) = 180°

Substitute given values, we get;

⇒ 152° + m (arc KJ) = 180

⇒ m (arc KJ) = 180 - 152

⇒  (arc KJ) = 28 degree

Thus, The value of measure of arc JK is,

⇒  (arc KJ) = 28 degree

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Janet has 630 options to customize a car based on the given features.

How to solve the question?

To determine the number of ways Janet can customize a car, we need to multiply the number of choices she has for each feature. Therefore, the total number of ways Janet can customize a car can be calculated as:

10 car models x 7 exterior colors x 9 interior colors = 630

Thus, Janet has 630 options to customize a car based on the given features.

It's worth noting that this calculation assumes that each feature (car model, exterior color, and interior color) can be combined with any other feature, without any restrictions or dependencies. However, in reality, certain car models may not be available in certain exterior or interior colors, or there may be other restrictions on the customization options.

Additionally, there may be other features that Janet can customize, such as the type of engine, transmission, or other options. Therefore, the total number of customization options may be even greater than what we have calculated here.

In summary, based on the given information, Janet has 630 ways to customize a car, but in reality, the actual number of options may be more limited or varied depending on other factors.

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Answer:

You saved $135 off of the original price of the guitar

Step-by-step explanation:

The original price of the guitar is $450. If we subtract 30% of the original price, we will essentially be solving 450 - 135 which gives us $315. Since we know that 30% was the amount taken off, 30% of the original price is how much you saved. So, you saved $135 off of the original price of the guitar.

(sorry if this is confusing, I'm not very good with words)

Answer: I got you

24:18

Step-by-step explanation:

The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

Given that;

The sequence is,

11, 13, 15, 17, ....

Here, Common difference is,

13 - 11 = 2

15 - 13 = 2

Hence, Sequence is in Arithmetic sequence.

So, the nth term of 11,13,15,17 is,

⇒ T (n) = a + (n - 1)d

⇒ T (n) = 11 + (n - 1) 2

⇒ T (n) = 11 + 2n - 2

⇒ T (n) = 9 + 2n

Thus, The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

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Therefore, the answer is that Franklin must have bought at least 4 packs of pumpkin seeds to have an equal number of pumpkin and sunflower seeds.

Given by the question.

Sure! Then is an explanation of how to break this problem

First, we need to find the least common multiple( LCM) of 4 and 8, because that will tell us the lowest number of seeds that Franklin could have bought. To find the LCM, we can list the multiples of each number until we find one that they've in common

Multiples of 4 4, 8, 12, 16, 20, 24, 28, 32, 36, 40.

Multiples of 8 8, 16, 24, 32, 40, 48, 56, 64.

The first multiple that appears in both lists is 8, so the LCM of 4 and 8 is 8.

Now we know that Franklin bought the same number of pumpkin seeds and sunflower seeds, and that number is a multiple of 8. So, we just need to find the lowest multiple of 8 that's also a multiple of 4. That is 8 itself, because it's formerly a multiple of 4.

So, Franklin must have bought at least 4 pumpkin seed packs, since each pack contains 4 seeds. Any other multiple of 8 that's also a multiple of 4 would also work, but 8 is the lowest similar number.

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The answer is  4.25 miles

Answer:

\(x \leq -4\)

There will be a filled-in hole at -4.

Step-by-step explanation:

We can solve an inequality the same way we do for equations. The only thing to keep in mind, is that multiplying by a negative number will result in flipping the inequality sign (< to > and vice versa)

\(-7x + 13 \geq 41 \text{ //}-13\\-7x \geq 28 \text{ //}:-7 \text{ (Notice we multiply by a negative number.)}\\x \leq -4\)

The difference between a filled-in and an empty hole in terms of inequality graphs, is whether or not the number limiting the inequality is included in it.

For example, in x > 3, 3 is limiting the inequality, however, it is not included in it, therefore, x would always be greater than 3.

In another example, \(x \leq -4\), -4 is limiting inequality and is included in it. Therefore, x would always be less than or equal to -4.

A filled-in hole means the number is included in the inequality, while an empty one means it isn't.

In our cases, -4 is included in the inequality (notice the line under the inequality sign that resembles "less than or equal to"), therefore there will be a filled-in hole at -4.

for the differential equation to exhibit supercritical damping, the range of values for m is m > 0.

The general form of a second-order linear differential equation is:

ay'' + by' + cy = 0

where a, b, and c are constants. Comparing this with the given differential equation:

6mz'' + 8z' = 0

We can see that a = 6m, b = 8, and c = 0. The characteristic equation for this differential equation is:

6mλ^2 + 8λ = 0

Simplifying this equation by factoring out 2λ gives:

2λ(3mλ + 4) = 0

This equation has two roots:

λ1 = 0 and λ2 = -4/3m

The solution to the differential equation is then:

z(t) = c1e^λ1t + c2e^λ2t

where c1 and c2 are constants determined by initial conditions. For supercritical damping, we need λ2 to be negative, which means:

-4/3m < 0

Multiplying both sides by -3/4 gives:

m > 0

So, for the differential equation to exhibit supercritical damping, the range of values for m is m > 0.

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Answer:

where is the list?????

Step-by-step explanation:

Answer:

Explanation:

so its referring to perimeter.

you add all values together.

 this would equal 34.995 .

so, its 34.995 meters of fencing.

Answer:

x = 19

Step-by-step explanation:

So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°

Use this idea to set up an equation.

x + 16 + 3x - 2 = 90

Combine like terms.

4x + 14 = 90

Subtract 14.

4x = 76

Divide by 4.

x = 19

x = 19

If you are kooking for the angles:

x + 16

= 19 + 16

= 35

and

3x - 2

= 3(19) - 2

= 57 - 2

= 55

Check: 35 + 55=90

Also,

cos35 = sin55

Answer:

1.774

2.6

3.77

4.8

5.6

6.4.33

A simple random population that is normally distributed then the 95% confidence interval is (104.02, 111.98)

In mathematics and statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations), the geometric mean, and the harmonic mean.

Given that,

Sample Mean = 108,

Standard deviation = 10,

Sample n = 25,

Degree of freedom = n-1

n - 1 = 25 - 1

n - 1 = 24.

t-value corresponding to 24 degrees of freedom and 95% confidence level is 1.990

Confidence Interval = Mean + or - Error margin

Error margin (E) = (t×sd)/√n

E = (1.990×10)/√25

E = 19.9/5

E = 3.98

Lower bound = mean - E

= 108 - 3.98

= 104.02

Upper bound = mean + E

= 108 + 3.98

= 111.98

Therefore,

A simple random population that is normally distributed then the 95% confidence interval is (104.02, 111.98)

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You need:

1 egg for Banana bread

1 large egg for sugar cookies

2 eggs for chocolate chip cookies

Total eggs = 4

Since you already have 2 eggs, you will need two more eggs in order to make all 3 recipes

Answer:

3386.64\(m^{3}\) (rounded to 2 decimal places)

Step-by-step explanation:

Volume of a cylinder = π\(r^{2}\)h

                                   = π x \(7^{2}\) x 22

                                   = π x 49 x 22

                                   = 3386.63688057

                                   = 3386.64\(m^{3}\) (rounded to 2 decimal places)

sorry if this is not right and hope this helps :)

The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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It is neither row echelon form nor reduced row echelon form matrix

How do you know if a matrix is in echelon form or reduced echelon form matrix ?

A matrix is in reduced row-echelon form if it satisfies the following:

In each row, the left-most nonzero entry is 1 and the column that contains this 1 has all other entries equal to 0. ...

The leading 1 in the second row or beyond is to the right of the leading 1 in the row just above.

if you look at the two row echlon form you can see that it has leading entries(starting form left) that all one and there are no-zero elements above diagonal which can be any numbers (2,3,4, 6, x,y,x).

However reduced row echelon of has always leading elements 1 and are on diognal, this form is always like this therefore we can infer that reduced row echlon form is always uniqe as oppose to row echelon form.

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We know that the plane flew at each speed which is at 100mph and 110mph for 3 hours each.

Speed is what it means. The rate at which the location of an object shifts in any direction.

Speed is defined as the ratio of the distance traveled to the time required to cover that distance.

Speed is a scalar quantity since it just has a direction and no magnitude.

The distance an object covers in a given amount of time is known as

speed.

The SI unit of speed is m/s or meters per second.

It has a scalar value.

Speed=Distance/Time.

So, using the speed:

Total miles = 630 in 6 hours.

Then,

100*3=300

110*3=330

Now,

300 + 330 = 630 miles

Therefore, we know that the plane flew at each speed which is at 100mph and 110mph for 3 hours each.

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The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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with the correct sampling method, you expect to obtain a sample mean exactly the same as the population mean is false statement.

Sampling is an important tool used to collect data from a population. It is a process by which a subset of individuals from the population is selected to represent the population as a whole. Sampling allows researchers to collect data more quickly and efficiently than if data were collected from the entire population. It is also cost-effective and time-saving. However, it is important to note that no sampling method can guarantee that the sample mean will be exactly the same as the population mean. This is because of the random nature of sampling, which means that a sample mean could be slightly different from the population mean. Therefore, it is important to use appropriate sampling techniques and to be aware of the potential for sampling bias.

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Answer:

-7

Step-by-step explanation:

Answer:

-7

Working:

2-7-(-8)+ (-10)

=2-7+8-10

=-7