3) -2x – 3y = -7
-4x + y = 21
A) (-8, 4)
C) (2, 4)
B) (-4,5)
D) No solution

________________________________

________________________________

Answer:

TrinityInfinity. and 4

Step-by-step explanation:

Answer:

d. 0.303

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

In this question:

We want the probability of Sean having a greater income than Evan, which is the probability of the subtraction of Sean's income by Evan's income is greater than 0.

Distribution of the difference between Sean's and Evan's income:

Sean has mean 225, Evan 240. So

\(\mu = 225 - 240 = -15\)

Sean's standard deviation is of 25, Evan's of 15. So

\(\sigma = \sqrt{25^2+15^2} = 29.15\)

Probability that Sean will have a greater income than Evan in a randomly selected week:

Probability of the subtraction being greater than 0, which is 1 subtracted by the pvalue of Z when X = 0. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{0 - (-15)}{29.15}\)

\(Z = 0.51\)

\(Z = 0.51\) has a pvalue of 0.695

1 - 0.695 = 0.305.

Closest to 0.303, option d.

Answer:

0.449

Step-by-step explanation:

one hundreth is this 0.100 so if u take that away from 0.549 u get 449

As per the given confidence interval, the given statement "in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference" is false.

Confidence interval,

in probability , confidence interval refers the probability that a population parameter will fall between a set of values for a certain proportion of times.

Given,

in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference.

Here we need to find the given statement is true or false.

While we looking into the given question, we have identified that the value of

Confidence interval = 95%

Sample size = 20

Then the sample inference is calculated as, if we were to take 20 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value (μ).

Therefore, the statement is in correct.

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Given data:

Total: 11210

7761 good risk

2499 medium risk

950 poor risk

a) Probability of choose a customer with good risk (gr):

b) Probability that a customer is not a poor risk (pr):

The probability that in a given race, her finishing time will be between 75 and 78 seconds, using the normal distribution, is of:

0.4772 = 47.72%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for the finishing times are given as follows:

\(\mu = 75, \sigma = 1.5\)

The probability that in a given race, her finishing time will be between 75 and 78 seconds, is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 75, hence:

X = 78:

Z = (78 - 75)/1.5

Z = 2

Z = 2 has a p-value of 0.9772.

X = 75:

Z = (75 - 75)/1.5

Z = 0

Z = 0 has a p-value of 0.5.

0.9772 - 0.5 = 0.4772 = 47.72%.

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Answer:

#6 is D

#7 is A

Step-by-step explanation:

#6

-1/3(6x+15)-3

Distribute the -1/3

-1/3 times 6x is -2x

-1/3 times 15 is -5

-2x-5-3

-2x=8

#7

-12z-5z=85

COmbine like terms

-17z=85

Divide both sides by -17

z=-5

The statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true.

Given, two functions  y = -2f(x) = 1/x

To determine whether the statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true or false, we need to find the value of Y for both functions when x = -2.

Substituting x = -2 in the functions we get:I would ask y = -2(-2) = 4f(-2) = 1/(-2) = -1/2Therefore, the Y value of the function I would ask is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2. Hence, the given statement is true.

Therefore, the statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true.

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Answer:

yes

Step-by-step explanation:

Sugar and water amounts used change proportionately.

Answer: b = −2

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

80 percent (calculated percentage %) of what number equals 12? Answer: 15

The expression that is equivalent to 8(4r) is 32r.

The given expression is 8(4r)

The given expression is an algebraic expression with constant and variables, here, r is the variable, and 4 and 8 are constant terms.

We need to simplify the expression as much as possible.

In order to simplify it, we need to solve the brackets, when we open the brackets, the terms get multiplied by each other,

So, here we go,

8(4r) = 8* 4r = 32r

This is the simplest form that we can have,

So, 8(4r) = 32r

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Answer:

35

area of traingle b xh/2 5x4/2 - 10

area of square lxl - 5x5 -25

add- 35

Answer:

The answer would be 35.

Step-by-step explanation:

The area of the shape would be 35 square centimeters because if we divide the shape into 3 different shapes, a square on the bottom and 2 triangles at the top, we can multiply the square's length and width to get an area of 25. Next, we'll multiply the 2 triangles length of 4 with the width of 5 to get a total area of 20 from both of them, we'll then divide the area of 20 by 2 to get 10. Now add 20 and 10 to get 35.

Answer:

A.

Step-by-step explanation:

Because 5*10^9= 5 Billion, and that's the closest answer.

The equation of the circle is x² + (y + 8)² = 13.

What is a circle?

All points in a plane that are at a specific distance from a specific point, the centre, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

We know that the standard equation of a circle is

(x - h)² + (y - k)² = r²

where (h,k) represents the center and r is the radius.

We are given the center of the circle to be (0, -8) and that the circle passes through the point (2,-5).

In order to find the radius, we will use the distance formula.

Using this, we get

⇒r = √ (2 - 0)² + (-5 - (-8))²

⇒r = √13

So, we get the equation as

⇒(x - 0)² + (y - (-8))² = √13²

⇒x² + (y + 8)² = 13

Hence, the equation of the circle is x² + (y + 8)² = 13.

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The result of the formula  \(12 - 3y2 + (v=4) / (2y - 2)\) for y = 3 is  \(-29/2\)  .

When \(y = 3\) is used, the value of the expression \(12 - 3y2 + (v=4) / (2y - 2)\)  has a value of  \(-29/2\) .

To analyse an algebraic expression is to determine its value when a certain number is used in lieu of the variable. To evaluate the expression, we first replace the variable with the given number, then we use the order of operations to simplify the expression.

If  \(y = 3\) , we can insert it into the expression & simplify as follows to evaluate   \(12 - 3y2 + (v=4) / (2y - 2)\) for  \(y = 3\)  .

\(12 - 3(3)^2 + (√4) / (2(3) - 2)\) (y = 3 replacement)

\(12 - 27 + 2 / 4\s-15 + 1/2\s-29/2\)

Therefore, The result of the formula  \(12 - 3y2 + (v=4) / (2y - 2)\) for y = 3 is  \(-29/2\)  .

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Answer:

30

Step-by-step explanation:

55 - 25 = 30

The total surface area of solid is,

S = 220 m²

And,  The volume of the prism is, 200 m³

We have to given that;

A solid prism is shown in figure.

Since, The surface area of a prism is,

S = (2 × Base Area) + (Base perimeter × height)

Where, "S" is the surface area of the prism.

Hence, We get;

base area = 5 x 10 = 50 m²

height = 4 m

Base Perimeter = 2 (5 + 10) = 30

Hence, We get;

S = (2 x 50) + (30 x 4)

S = 100 + 120

S = 220 m²

Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;

V = base area × height.

Now, For given figure,

Volume of the prism = base area × height

base area = 5 x 10 = 50 m²

height = 4 m

Hence, Volume = 50 × 4 m³

= 200 m³

Thus, The volume of the prism is, 200 m³

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The Gini coefficient is 2(−13/30) = -13/15.

The Lorenz curve L(p) can be expressed as the cumulative distribution function of a random variable X. The Gini coefficient is then given by the area between the diagonal line (representing perfect equality) and the Lorenz curve L(p).

In other words, the Gini coefficient is the ratio of the area between the diagonal line and the Lorenz curve to the total area under the diagonal line.

The Lorenz curve for the state can be given as L(p)=p^4/3.Ron can compute the Gini coefficient by finding the area between the diagonal line and the Lorenz curve.

The diagonal line goes from (0,0) to (1,1).The area under the diagonal line is 1/2.

The area between the diagonal line and the Lorenz curve is given by∫[0,1](L(p)−p)dp=

∫[0,1](p^4/3−p)dp

=(1/15)−(1/2)

= -13/30

The Gini coefficient can be negative when the Lorenz curve lies above the diagonal line, which indicates that the distribution is more equal than the hypothetical distribution of perfect equality.

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A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241  option a) 0.025.

In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².

Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.

So in this case, we can write this as Z = (44 - 50) / 3 = -2

We have now obtained the standard score or standard deviation for the random variable X.

Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).

The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.

Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.

This probability represents the area under the standard normal distribution to the left of Z = -2.

To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.

Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.

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Answer:

3.361111098 lbs (im not sure where your teacher wants you to round to)

Step-by-step explanation:

I believe that says 20 and 1/6 pound, so I'll do the equation according to that.

if it weighs 1/6 on the moon what it does on earth, multiply the earths weight of it by 1/6

The quotient of  10⁻⁴/10² is 10⁻⁶

Quotient is the result obtained by dividing one quantity by another. It represents the value that is obtained after division.

For example, if you divide 20 by 2, the quotient is 10 because 20 divided by 2 equals 10.

Division law states that:

10ᵃ / 10ᵇ = 10ᵃ⁻ᵇ

In this case have:

10⁻⁴/10² = 10⁻⁴⁻²   (Division law)

10⁻⁴/10² = 10⁻⁶

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using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

36 potatoes in one hour

Step-by-step explanation:

⇒ You can write the ratio of 6 potatoes for every 10 minutes as:

6 potatoes : 10 minutes

⇒ Since there are 60 minutes in an hour, you can just multiply the whole ratio by 6 to get the 10 minutes to 60 minutes:

36 potatoes : 60 minutes

Answer: 36 potatoes in one hour

Hope this helps! :)

Answer: 664 (sorry if its wrong)

Step-by-step explanation:

17% of 800 is 136.

800-136=664

Step-by-step explanation:

800 ÷ 100 = 8 (1%)

8 × 17 = 136 (17%)

800-136=664

Answer:

first second and last

Step-by-step explanation:

The roots of the polynomial function are -1, -2 and 5.

The given polynomial function is P(x)=x³-2x²-13x-10.

Roots of a polynomial refer to the values of a variable for which the given polynomial is equal to zero. If a is the root of the polynomial p(x), then p(a) = 0.

Now, use the rational roots theorem.

That is, x³-2x²-13x-10=0

Factors of the constant term: ±1, ±2, ±5.

We get (x+1)(x+2)(x-5).

Therefore, the roots of the polynomial function are -1, -2 and 5.

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A quotient will be halved if the divisor is doubled

information given in the question include

the divisor in a division problem is doubled

how does the quotient change = ?

Mathematics is fundamentally about patterns and structures. They enable to recognize when something intriguing is occurring and to broaden comprehension.

using division by two              

64 / 2 = 32

32 / 2 = 16

16 / 2 = 8

8 / 2 = 4

increasing the divisor by double

64 / 4 = 16

32 / 4 = 8

16 / 4 = 4

4 / 4 = 1

using division by 5

100 / 5 = 20

increasing the divisor by double

100 / 10 = 10

comparing the pattern we can see that doubling the  divisor by will half the quotient

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