The weekly demand function for radial tires is given by p=d(x)=1000-8x^(2) where x is the number of hundreds of tires and p is in dollars. Find the average rate of change of the unit price as the quantity demanded goes from 300 tires to 500 tires.

The steps of finding mean and standard deviation of a simple random sample are given below.

What is standard deviation and mean?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.

There are various mean types in mathematics, particularly in statistics. Each mean serves to summarize a specific set of data, frequently to help determine the overall significance of a specific data set.

The steps of finding mean and standard deviation of a simple random sample are:

Divide the population standard deviation (σX) by the square root of the sample size (n) to get the standard deviation of the sample mean (σX):  = σ/n.

How to determine sample means

Add up the examples' components. You must first count the number of sample items in each data set and then add up all of the sample items. ...

Sum divided by the quantity of samples.

The outcome is the mean.

To determine the variance, use the mean.

To determine the standard deviation, use the variance.

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Answer:

12 nickels

11 dimes

Step-by-step explanation:

Let n = no. of nickels

     d = no. of dimes

   5n = value of nickels in cents

   10d = value of dimes in cents

    170 = total value in cents

(1)   n + d = 23             (2)   5n + 10d = 170

           d = 23 - n                5n + 10(23 - n) = 170

                                           5n + 230 - 10n = 170

                                                     - 5n = - 60

                                                          n = 12 nickels

           d = 23 - 12 = 11 dimes

Check:  12(5) + 11(10) = 60 + 110 = 170 cents or $1.70

The number of different simple random samples of size 4 that can be obtained from a population of size 45 is 1,011,690. This means there are over a million possible combinations of individuals that can be selected from the population.

The number of different simple random samples of size 4 that can be obtained from a population of size 45 is given by the combination formula:

C(45, 4) = 45! / (4! * (45 - 4)!) = (45 * 44 * 43 * 42) / (4 * 3 * 2 * 1) = 1,011,690

Therefore, there are 1,011,690 different simple random samples of size 4 that can be obtained from a population of size 45. This means that if we were to randomly select 4 individuals from the population, there would be over a million possible combinations of individuals that we could select.

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The surface area of the cylinder is 1155.52 square ft if the radius and height of the cylinder are 8 ft and 15 ft.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

\(\rm V = \pi r^2 h\)

The surface area of the cylinder:

\(\rm A =2\pi rh+2\pi r^2\)

r = 8 ft

h = 15 ft

\(\rm A =2\pi (8)(15)+2\pi (8)^2\)

A = 1155.52 square ft

Thus, the surface area of the cylinder is 1155.52 square ft if the radius and height of the cylinder are 8 ft and 15 ft.

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Answer: 2 5/6 I think.

Wait no. I just did the math and it would be 2 1/2

Answer:

114

Step-by-step explanation:

Answer:

114

Step-by-step explanation:

because desmos. com/ scientific

\(556 \: g \times \frac{1 \: kg}{1000g} = 0.556 \: kg \)

\(11 \: kg - 0.556 \: kg = 10.444 \: kg\)

The total weight of the other five items are 10.444 kg

(round as you wish)

The total weight of the rest 5 items is 1.444 kilograms.

The unitary method is a mathematical technique for first obtaining the value of a single unit.

And then deriving the given units by multiplying it with a single unit. The unitary method is useful when have to obtain for example cost of one piece of something etc.

We know 1 kilogram is equal to 1000 grams.

Given six items weigh 11 kilograms = 11000 grams.

One of the items is detergent weighing 556 grams.

∴ The other five items weigh ( 11000 - 556) grams = 10444 grams.

= 10444/1000 kilograms.

= 10.444 kilograms.

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Therefore, the values of x for which function f(x) = 7 are x = 24 and x = -16.

To find the values of x for which f(x) is equal to 7, we can set up the equation:

0.5|x – 4| – 3 = 7

First, let's isolate the absolute value term by adding 3 to both sides:

0.5|x – 4| = 10

Next, we can remove the coefficient of 0.5 by multiplying both sides by 2:

|x – 4| = 20

Now, we can split the equation into two cases, one for when the expression inside the absolute value is positive and one for when it is negative.

Case 1: (x - 4) > 0:

In this case, the absolute value expression becomes:

x - 4 = 20

Solving for x:

x = 20 + 4

x = 24

Case 2: (x - 4) < 0:

In this case, the absolute value expression becomes:

-(x - 4) = 20

Expanding the negative sign:

-x + 4 = 20

Solving for x:

-x = 20 - 4

-x = 16

Multiplying both sides by -1 to isolate x:

x = -16

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Answer:

it's c!!!

Step-by-step explanation:

good luck!!!!!!!!!

Answer:

the 01 is inequality

I dont know if I am right.

if I am you are welcome

To calculate the present value of $51,270 payments to be made at the end of each period for 17 periods at a 9% interest rate, we need to find the discounted value of each payment and sum them up.

The present value (PV) is calculated by discounting each future payment back to its current value using the interest rate. The formula to calculate the present value of a series of payments is:

PV = Payment × [1 - (1 + interest rate)^(-number of periods)] / interest rate.

In this case, the payment is $51,270, the interest rate is 9% (or 0.09 as a decimal), and the number of periods is 17.

Using the provided formula and rounding the factor values to 5 decimal places, we can calculate the present value as follows:

PV = $51,270 × [1 - (1 + 0.09)^(-17)] / 0.09.

Evaluating this expression will give us the present value of the payments. It's important to round the final answer to 0 decimal places, as stated in the question.

By substituting the values and calculating the expression, we can determine the present value of the $51,270 payments made over 17 periods at a 9% interest rate.

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Using a standard normal distribution table or calculator, we can find that the proportion of sample means that are equal to or greater than 82 is 1 - 0.7486 = 0.2514, or about 25.14%.

The formula to calculate the standard error of the mean (SEM) is:

SEM = s / sqrt(n)

where s is the sample standard deviation and n is the sample size.

The SEM represents how much the sample means vary from the population mean. It measures the precision of the sample mean as an estimate of the population mean. A smaller SEM indicates a more precise estimate.

The formula for transforming a value of X from a sampling distribution of the mean to a score on the standard normal distribution (Z-score) is:

Z = (X - μ) / (s / sqrt(n))

where X is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

The Z-score tells us how many standard deviations away from the population mean the sample mean is. A positive Z-score means the sample mean is above the population mean, and a negative Z-score means the sample mean is below the population mean.

Since the population is normally distributed, the distribution of sample means will also be normally distributed. We can use the central limit theorem to approximate this distribution.

We are given that μ = 80 and σ = 12. To find the distribution of sample means, we need to calculate the standard error of the mean:

SEM = 12 / sqrt(16) = 3

Now we can find the Z-score for a sample mean of 82:

Z = (82 - 80) / (3) = 0.67

Using a standard normal distribution table or calculator, we can find that the proportion of sample means that are equal to or greater than 82 is 1 - 0.7486 = 0.2514, or about 25.14%.

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Answer:

4700 workers

Step-by-step explanation:

We know that 60% of the worker are men

1880 people work for the company who aren't men

100% - 60% = 40%

40% of workers =  1880

40% = 0.4

If 0.4 = 1880

100% of the workers x

100% = 1

We have equations

0.4 = 1880

1 = x

Cross multiply

0.4x = 1880

Divided both sides by 0.4

x = 4700 workers total

To find the number of men workers, we take

4700 - 1880 = 2820 men workers

So, there are a total of 4700 workers!

1880 women workers & 2820 men workers!

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Answer:

60% are men. 40% women

x - amount of men, 1 880 amount of women

60:x = 40:1 880

40x = 60(1 880)

40x = 112 800

x = 2 820

Percentage = Rate / Base

= 1 880 / (1 - 0.60)    (1-0.60 to find out the percent of not men)

= 1 880 / 0.40

= 4 700

Women: 4 700 * 0.4 = 1 880    (this statement is true)

Men: 4 700 * 0.6 = 2 820       (therefore, it is too)

Step-by-step explanation:

The expected value of PX is 2.Therefore(Y) = E(PX) / 100= 2 / 100= 0.02The mean of the random variable Y, where Y is equal to the number of kilowatt hours expended annually is 0.02. Therefore, the correct option is (D) 0.02.

Why The expected value of PX is 2?

The given problem states that the total time, measured in units of 100 hours, that a teenager runs her hair dryer over a period of one year is a continuous random variable X that has the density function  f(x)=x, 0 < x < 1, f(x) = 2 – x, 1 ≤ x < 2 and f(x) = 0, elsewhere. We need to evaluate the mean of the random variable where Y is equal to the number of kilowatt hours expended annually.

The total time, measured in units of 100 hours, that a teenager runs her hair dryer over a period of one year is given as X. Let us calculate the expected value of the random variable Y which is equal to the number of kilowatt hours expended annually.The number of kilowatt hours expended annually Y is calculated as follows:Y = Power consumed × Hours of use per yearLet Power consumed = P and Hours of use per year = X × 100.The number of kilowatt hours expended annually Y is equal to the product of the power consumed and hours of use per year.

Therefore, we haveY = PX × 100 = (P/100) XThe expected value of Y is given byE(Y) = E(PX) / 100where E(PX) is the expected value of PX.So, we have to calculate E(PX).The expected value of PX is given bye(PX) = ∫ xf(x) dx (0 to 1) + ∫ xf(x) dx (1 to 2) (as given)Now, substituting the given function in the above formula we getE(PX) = ∫ x² dx (0 to 1) + ∫ 2x - x² dx (1 to 2)E(PX) = [x³/3] (0 to 1) + [(x² - x³/3)] (1 to 2)E(PX) = 2/3 + 4/3 = 2

The expected value of PX is 2.Therefore,E(Y) = E(PX) / 100= 2 / 100= 0.02The mean of the random variable Y, where Y is equal to the number of kilowatt hours expended annually is 0.02. Therefore, the correct option is (D) 0.02.

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Answer:

56.736kilometers

Step by step explanation:

52.6

+ 4. 136

56.736

=56.736 kilometers

The explicit formula for f^-1 is (x-3)^(1/4) and this is obtained by switching the roles of x and y and solving for y in terms of x.

To find the inverse function of f(x)=x^4+3, we need to switch the roles of x and y, and solve for y.
Let y = x^4+3
Subtract 3 from both sides to get:
y - 3 = x^4
Take the fourth root of both sides to isolate x:
(x^4)^(1/4) = (y-3)^(1/4)
Simplify:
x = (y-3)^(1/4)
So the inverse function of f(x) is:
f^-1 (x) = (x-3)^(1/4)
This is the explicit formula for the inverse function of f(x).
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Given:

Jimmy done the subtraction directly without changing the mixed fraction to improper fraction and didn't took the LCM.

According to the statement, the new flavour received 3 votes for every vote received by the original flavour. Denoting:

• x = # of votes of the original flavour,

• n = # of votes of the new flavour.

We can write the following equation for the number of votes:

Now, according to the statement, the number of votes of the new flavour is n = 723, replacing this number in the equation above and solving for x, we get:

Answer

The original flavour received 241 votes.

Answer:

3 Cups of flour

Step-by-step explanation:

1 batch of cookies = 1 cup of flour

2 batch of cookies = 2 cups of flour

3 batch of cookies = 3 cup of flour

I hope i helped you :)

Answer:

X = 19/9

Step-by-step explanation:

R = 9x + 8y

R = 5, Y = 3

5 = 9x + 8(3)

9x = 8(3) - 5

9x = 19

x = 19/9

According to the question, the line is through the points \((0,5)\) and \((-2,11)\)

To calculate the slope using standard formula that is :

\(m = \frac{(y(2)-y(1))}{(x(2)-x(1))} = \frac{(11-5)}{(-2-0)} =\frac{6}{-2} = -3\)

Now the slope equation will be: \(m(x(2)-x(1)) = (y(2)-y(1))\)

\(y-5 =(-3)(x-0) = y = -3(x)+5\)

The slope-intercept form is:\(y = -3x+5\)

What is the equation of the line?

To represent the set of points in an algebraic form is known as the equation of line. The set of points represent lines in the coordinate system. The parameters can be calculated and those parameters are slope and y-intercept.

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Answer:

When we say that an allele is "fixed," it means that a particular allele has reached a frequency of 100% in a population.

Step-by-step explanation:

Alleles are different forms of a gene that occupy the same position on homologous chromosomes. In a population, different alleles can exist for a specific gene. However, through various evolutionary processes such as natural selection, genetic drift, or gene flow, one allele may become predominant and eventually fixate within the population.

The fixation of an allele can occur through different mechanisms. For example, if a beneficial allele provides a selective advantage to individuals carrying it, it is more likely to increase in frequency and eventually become fixed in the population. On the other hand, genetic drift, which is the random change in allele frequencies due to chance events, can also lead to the fixation of an allele, especially in small populations.

Once an allele is fixed in a population, it means that all future generations will inherit that allele, and no alternative alleles will be present at that particular gene locus.

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Answer:

First, in order to subtract these two fractions you must convert it into improper fractions. For the first one, we can convert it by multiplying the denominator by the whole and adding the numerator which would give you 196/8 for the first one and 157/8 for the second one. This equation would now set up as 196/8-157/8 which would be 39/8 and since you need to convert it back into a mixed fraction we need to know how many times 8 can go into 39 which is 4 so 32 and a remainder of 7. Your answer would be 4 7/8

Step-by-step explanation:

Answer:

8 pounds of almonds

4 pounds of macadamia

Step-by-step explanation:

Let x be the pounds of almond

then 12 - x is the pounds of macadamia

5.25x + 9(12 - x) = 12(6.50)

distribute

5.25x + (108 - 9x) = 78

Combine like terms

-3.75x + 108 = 78

subtract 108 from both sides

-3.75x = 30

Divide both sides by -3.75

x = 8    pounds of almond

12 - x = 4    pounds of macadamia

The value of x = 45°

It is given that 3 cos² 2x / ( 1 - sin 2x) = 1

3cos² 2x / ( 1 - sin 2x) = 1

As we know sin²x + cos²x = 1

3 ( 1 - sin²2x) / ( 1 - sin 2x) = 1

3 - 3 sin²2x = 1 - sin 2x

3 sin²2x - sin2x - 2= 0

As we know sin2x = 2 sin x. cos x

3( 2 sin x. cos x)² + 2 sin x. cos x  - 2 = 0

Let's take sin x . cos  x = t

3 ( 2t)² - 2t - 2 = 0

12t² - 2t - 2 = 0

12t² - 6t + 4t - 2 = 0

6t( 2t - 1) + 2(2t - 1) = 0

(6t + 2)(2t - 1) = 0

t = -1/3 , 1/2

Now put the value of t we get

sin x . cos x = -1/3 , 1/2

2 sin x . cos x = -2/3 , 1

sin 2x = -2/3 , 1

It is given that x should be between 0° to 90°.

Therefore

sin 2x = 1

sin 2x = sin 90°

2x = 90°

x = 45°

Therefore the value of x is 45°

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Answer:

A) 2/15

Step-by-step explanation:

So just divide it normally, do keep change flip

2/3*1/5

2/3 keep

divison change

Denomeinator, flip it, 5 to 1/5

now multiply

2/15