i need help past due

Answer:

12.5

Step-by-step explanation:

y varies inversely as x.

y = k/x

10 = k/20

200 = k

The constant proportion k is 200.

16 = 200/x

Cross multiply.

200 = 16x

200/16 = x

x = 12.5

Domain = {-3, 2}

Range = All real numbers

We can represent the range in interval notation as \((-\infty, \infty)\) which is basically saying \(-\infty < y < \infty\). The range is all real numbers due to the arrows meaning the graph extends up and down forever. So any y value is possible.

Notice with the domain we only have 2 valid x values -3 and 2. No other x values are allowed. Normally we use an interval of some kind to set up the domain, but we only have a set of values instead. The curly braces indicate "set".

The standard deviation of the weight distribution is approximately 20.31 pounds.

Let's denote the mean of the distribution as μ (mu) and the standard deviation as σ (sigma).

From the given information, we can calculate the z-scores corresponding to the weights of 154 pounds and 213 pounds.

For the weight of 154 pounds:

The proportion of players weighing less than 154 pounds is 10%, which corresponds to a cumulative probability of 0.10. To find the z-score, we can use a standard normal distribution table or a calculator:

z = invNorm(0.10) ≈ -1.28

For the weight of 213 pounds:

The proportion of players weighing more than 213 pounds is 5%, which corresponds to a cumulative probability of 0.95 (1 - 0.05). To find the z-score, we can again use a standard normal distribution table or a calculator:

z = invNorm(0.95) ≈ 1.64

In a standard normal distribution, the z-scores represent the number of standard deviations away from the mean.

Now, we can set up two equations using the z-scores:

1.28 = (154 - μ) / σ --> (1)

-1.64 = (213 - μ) / σ --> (2)

Solving these equations simultaneously will give us the mean (μ) and the standard deviation (σ) of the weight distribution.

Let's solve these equations:

From equation (1):

1.28σ = 154 - μ

From equation (2):

-1.64σ = 213 - μ

Adding equation (1) and equation (2):

1.28σ - 1.64σ = 154 - μ + 213 - μ

-0.36σ = 367 - 2μ

Simplifying:

-0.36σ = 367 - 2μ

0.36σ = 2μ - 367

Dividing by 0.36:

σ = (2μ - 367) / 0.36

Substituting this value of σ in equation (1):

1.28σ = 154 - μ

1.28[(2μ - 367) / 0.36] = 154 - μ

Simplifying:

1.28(2μ - 367) = 0.36(154 - μ)

2.56μ - 470.16 = 55.44 - 0.36μ

Combining like terms:

2.56μ + 0.36μ = 470.16 + 55.44

2.92μ = 525.6

Dividing by 2.92:

μ = 525.6 / 2.92

μ ≈ 180.00

Now that we have the value of μ, we can substitute it into equation (1) to find σ:

1.28σ = 154 - μ

1.28σ = 154 - 180

1.28σ = -26

Dividing by 1.28:

σ = -26 / 1.28

σ ≈ -20.31

Since standard deviation cannot be negative, we can disregard the negative sign. The standard deviation of the weight distribution is approximately 20.31 pounds.

To summarize:

Mean (μ) ≈ 180 pounds

Standard Deviation (σ) ≈ 20.31 pounds

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Substitute these values into the formula and solve for A:\(A = 900e^(0.0625*6)≈ $1,227.32\) (rounded to the nearest cent)Therefore, the balance after 6 years is approximately $1,227.32.

To find the balance after t years, use the formula A=Pert. Where A is the balance, P is the principal amount, e is the mathematical constant e (≈2.718), r is the annual interest rate as a decimal, and t is the time in years.Let's substitute the given values into the formula to find the balance after 6 years.

\(A = 900e^(0.0625*6)≈ $1,227.32\) (rounded to the nearest cent)Therefore, the balance after 6 years is approximately $1,227.32. The formula to find the balance after t years for a savings account that pays interest at a rate of r% per year compounded continuously is:A=Pertwhere A is the balance, P is the principal amount, e is the mathematical constant e (≈2.718), r is the annual interest rate as a decimal, and t is the time in years

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Answer: The Answer is A

Step-by-step explanation:

Answer:

A on edge2020

Step-by-step explanation:

To find the product of 16 and 214 using the Distributive Property, we break down 214 into its place value components (200 + 10 + 4). Then, we apply the Distributive Property to each component, multiplying them individually by 16. Finally, we add up the results to find the final product of 16·214.

To use the Distributive Property to multiply 16 and 214, we break down 214 into its place value components: 200, 10, and 4. Then, we apply the Distributive Property to each component.

16 multiplied by 200 equals 3200.

16 multiplied by 10 equals 160.

16 multiplied by 4 equals 64.

Finally, we add up the results: 3200 + 160 + 64 = 3424.

Therefore, using the Distributive Property, the product of 16 and 214 is 3424.

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Answer:

60%

Step-by-step explanation:

Express as a fraction then multiply by 100% to make the percentage

\(\frac{3}{5}\) × 100% ( cancel 5 and 100 by 5 )

= 3 × 20%

= 60%

Answer:

×=50,×+09+673-23

×=(33)+(2×)

Therefore, the estimated difference between the cube roots of 343 and 345.1 is approximately 0.0189.

To estimate the difference between the cube roots of 343 and 345.1 using linear approximation, we can use the fact that the derivative of the function f(x) = ∛x is given by f'(x) = 1/(3∛x^2).

Let's start by calculating the cube root of 343:

∛343 = 7

Next, we'll calculate the derivative of the cube root function at x = 343:

f'(343) = 1/(3∛343^2)

= 1/(3∛117,649)

≈ 1/110.91

≈ 0.0090

Using the linear approximation formula:

Δy ≈ f'(a) * Δx

We can substitute the values into the formula:

Δy ≈ 0.0090 * (345.1 - 343)

Calculating the difference:

Δy ≈ 0.0090 * 2.1

≈ 0.0189

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Answer:

−2 − 11

Hope it helps!!

Answer:

Red: 47.5%, Yellow: 30%, Blue: 22.5%

Step-by-step explanation:

An equation represents the slope-intercept form of the given line is y= 1/2 x+8. Therefore, option D is the correct answer.

Given that, y-intercept = (0, 8) and slope = 1/2.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Substitute m=1/2 and c=8 in y=mx+c, we get

y= 1/2 x+8

Therefore, option D is the correct answer.

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Answer: -14v-24

Step-by-step explanation:

2v-8(3+2v)

2v-(24+16v)

2v-24-16v

-14v-24

EXpand

2v-24-16v=

-Hunter

Answer:

here it is on a graph

Step-by-step explanation:

Answer:

I attached a png with my answer.

Step-by-step explanation:

I ain’t giving n9 answer

we can estimate that the proportion of defectives being produced by the machine is around 0.316.

What is proportion?

A comparison between the size, number, or amount of one thing or group with that of another. In our class, there are three boys for everyone lady.

If the random sample of size 2 yields 2 defects, that means both items in the sample were defective. Let p be the proportion of defectives being produced by the machine.

The probability of selecting a defective item on the first draw is p, and the probability of selecting a defective item on the second draw is also p (assuming sampling without replacement).

Since both items were defective, the probability of this happening is p * p = p².

So,

p² = (number of samples with 2 defects) / (total number of samples)

We don't know the values of these numbers, but we can use them to estimate p. For example, if we had a total of 100 samples and 10 of them had 2 defects, then:

p² = 10/100 = 0.1

p ≈ √(0.1) ≈ 0.316

Hence, we can estimate that the proportion of defectives being produced by the machine is around 0.316.

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To find the P-value, we need to find the probability of getting a test statistic less than or equal to the -1.38 under a null hypothesis.

Using a standard normal distribution table or calculator, we find that the area to the left of -1.38 is 0.0844.

Therefore, the P-value is 0.0844.

To decide whether to reject the null hypothesis at a significance level of α = 0.05, we compare the P-value to α. Since the P-value (0.0844) is greater than α (0.05), we fail to reject the null hypothesis. We do not have enough evidence to support the alternative hypothesis at the 0.05 level of significance.

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Answer: a = 3x

b = 2x+25

180 = a + b

180 = 3x + 2x + 25

180 = 5x + 25

155 = 5x

x = 31

a = 3*31 = 93

b = 2*31 + 25 = 87

Step-by-step explanation: pls mark as branlyest

Elijah will pass John after 5 hours, and they each will have traveled 310 miles. Then the correct option is C.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

John and Elijah are both driving from New York City to Richmond.

John leaves at 7:20 and averages 60 mph (miles per hour) on the way.

Elijah leaves at 7:30 and averages 62 mph on the way.

The situation is modeled by this system, where x is the number of hours after Elijah leaves and y is the distance each will travel.

y = 60x + 10 ...1

y = 62x        ...2

The time is taken by Elijah to cross John will be

62x = 60x + 10

 2x = 10

   x = 5 hours

The distance traveled in 5 hours will be

y = 62 (5)

y = 310 miles

Elijah will pass John after 5 hours, and they each will have traveled 310 miles.

Then the correct option is C.

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Answer:

c

Step-by-step explanation:

i took the quiz

Answer:

endpoints (4,5)

Step-by-step explanation:

endpoints = (2+6/2,7+3/2)

= (8/2,10/2)

= (4,5)

Changing the order of integration for a triple integral is beneficial because it can simplify the computation process.

The ability to change the order of integration for a triple integral is beneficial because it can simplify the calculations involved in solving the integral.

By rearranging the order of integration, the integrals can be broken down into smaller, more manageable integrals, which can then be solved more easily.

For example, suppose we have the following triple integral:

∫∫∫f(x,y,z)dxdydz

In general, we can change the order of integration by identifying the limits of integration for each variable and rearranging them in a different order. This can be done in several ways, but a common approach is to start with the outermost integral and work our way inwards.

For instance, if we change the order of integration from dx dy dz to dz dy dx, the integral becomes:∫a∫c∫g(x,y,z) dzdydx

where the limits of integration for z are a function of x and y, and the limits of integration for y are a function of x.

By breaking the integral down into smaller integrals, we can more easily evaluate each one and obtain a solution to the original triple integral.

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Answer:

17,046.92 i think

Step-by-step explanation:

Answer:2 2/3

Step-by-step explanation:

Answer:

\(y \: intercept : when \: x = 0 \\ y = (3 \times 0) - 1 = - 1 \\ = > (0, - 1) \\ x \: intercept : when \: y = 0 \\ 0 = 3x - 1 \\ x = \frac{1}{3} \\ = > ( \frac{1}{3} ,0) \\ intercepts : (0, - 1) \: and \: ( \frac{1}{3} ,0)\)

This is linear algebra If A is an n X n diagonalizable matrix, then each vector in Rn can be written as a linear combination of eigenvectors.

It is the TRUE statement.

If A is diagonalizable, then A has n linearly independent eigenvectors in \(R^n\) By the Basis Theorem, the set of these eigenvectors spans \(R^n\).

We have to check the given statement is true or false.

Now, According to the question:

It is True statement. If A is diagonalizable, then A has n linearly independent eigenvectors in \(R^n\). By the Basis Theorem, the set of these eigenvectors spans \(R^n\). This means that each vector in \(R^n\) can be written as a linear combination of the eigenvectors of A.

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a) U = Y1^2 + Y2^2 follows a chi-squared distribution with two degrees of freedom, b) U = Y1 + Y2 follows a Poisson distribution with parameter λ1 + λ2, and c) Y1 | U=u follows a binomial distribution with parameters u and λ1 / (λ1 + λ2).

a), we use the fact that the sum of squares of two independent standard normal random variables follows a chi-squared distribution with two degrees of freedom. We use the moment generating function to derive this result.

b), we use the fact that the sum of two independent Poisson random variables follows a Poisson distribution with the sum of the individual parameters as its parameter. We derive the moment generating function of the sum of two Poisson random variables and use it to identify the distribution of U.

c), we use the conditional probability formula to find the\(pmf\)of Y1 given U=u. We substitute the pmf of the Poisson distribution and simplify the expression to identify the distribution of Y1 | U=u. We note that the binomial distribution arises because we are considering the number of successes (i.e., Y1=k) in u independent trials with probability of success λ1 / (λ1 + λ2).

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Answer:

The median speed in race A is about 153 miles per hour, and the median speed in race B is about 145 miles per hour.

Step-by-step explanation:

For comparison, we need to analyze and compare both races data which are as follows

For Race A

Maximum range = 170 miles per hour

Minimum  range = 120 miles per hour

First quartile  ≈ 142 miles per hour

Median quartile ≈ 153 miles per hour

It comes from

\(= \frac{142\ miles + 165\ miles}{2}\)

= 153 miles

The Third quartile = 165 miles per hour

For Race B

Maximum range  = 165 miles per hour

Minimum range = 125 miles per hour

First quartile  ≈ 139 miles per hour

Median quartile = 145 miles per hour

It comes from

\(= \frac{139\ miles + 150\ miles}{2}\)

= 145 miles

The third quartile = 150 miles per hour

Hence, the last option is correct

Answer:

(1,3)

Step-by-step explanation:

You are at (-3,5).  Ordered pairs are written (x,y)  The x tells you how far right or left you are from the origin (0,0) and the y tells you how high above or below You are from the origin (0,0).

(-3+ 4,5 -2)  We are 3 unit to the right of (0,0) to begin with and the directions tell us to go 4 more units right.  We will now be 1 units to the right of zero.  We started at 5 units above zero, the directions tells us to move two units down.  That would be at 3.

So, our new order pair will be (1.3)