Solve the following system of equations by graphing each line.
x+y=4
3x+4y=10
*mark the solution with a point

Answer:

Step-by-step explanation:

312/520 equals 60%

other people 40%

The statement that non-normality of the residuals from a regression can best be detected by looking at the residual plots against the fitted y values is a false statement.

We have a statement and we need to find out if it is true. A negative residual indicates that the model did not fit. This means that the error produced by the model is not the same between variables and observations (that is error is not random). The content is not regular, that is, the content is distributed regularly and we can conclude that the linear model is the appropriate model. If the subject sees a curvilinear pattern such as a U-shaped pattern, we can conclude that a linear pattern is not suitable and a non-linear pattern would be better. These charts are useful for identifying inconsistencies, inconsistencies in error variance, and inconsistencies. Two well-known tests for normality of residues are the Kolmogorov Smirnov test and the Shapiro-Wilk test. So, residual plot can't be used to check the non-normality of the residuals from a regression. Therefore, it is false statement.

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Answer:

sorry for being late  :P

Step-by-step explanation:

slope = rise / run

by inspection of the graph.. it looks like the line goes over 2 units and then up one unit  so   1/2.... and b/c it's going up... like up hill.. it's positive...

+ 1/2  is the slope

Answer:

b,c,e,d,a,f

Step-by-step explanation:

Complete question :

A college is funded depending on the mean number of credit units a student takes. A survey involving 16 students yielded the mean number 12 units with a standard deviation 3 units. Assume normal population

If th ere are 10,000 stu dents enrolled in the college an d the institution is funded at the rate of $300 per student unit. At the 95 % confidence level, estimate the interval th at covers the total funding of the college . for full credit, round the answer to TWO decimal places!

Answer: (35823600 , 36176400)

Step-by-step explanation:

Mean number of units = 12

Standard deviation = 3

Number of samples (n) = 10000

Fund rate = 300

Mean = 10000 * 300 * 12 = 36000000

Standard deviation = 10000^0.5 * 300 * 3 = 90000

Fir 95% C. I

Z0.05 = 1.96

Interval = mean ± 1.96 * SE

(36000000 - 1.96*90000) ; (36000000 + 1.96*90000)

(35823600 , 36176400)

Answer:

where are the equations

Step-by-step explanation:

m is how much more she needs to save

510+8+6=516+m

m=8

Answer:

12

Step-by-step explanation:

4 centimeters for each present and she used 48 centimeters of tape, so u would take 48 divided by 4 and get 12

Let's assume that the initial velocity of the frog is zero. Using the kinematic equations of motion, the height of the frog at any time can be determined as given below.
s = ut + 1/2at², where s is the distance, u is the initial velocity, a is the acceleration, and t is the time taken.
Here, s = 1.24 m - h (since the initial height of the frog is 1.24 m), u = 0 (since the initial velocity of the frog is zero),
a = -9.8 m/s² (the acceleration due to gravity), and t is the time taken. Let's assume that the frog reaches the ground after t seconds. Hence, 4.3 ft = 1.3 m

The height of the frog when it is at 4.3 ft above the ground can be written as: 1.3 m = -4.9t² + 1.24 m
By solving the above equation for time, we get, t = 0.575 s. The time taken by the frog to reach the ground is 0.575 seconds. Therefore, the horizontal distance traveled by the frog can be determined as: d = vt, where d is the horizontal distance, v is the velocity of the frog, and t is the time taken. v can be determined using the formula:
v = u + at. Here, u = 0 (since the initial velocity of the frog is zero), a = -9.8 m/s² (the acceleration due to gravity), and t is the time taken. Hence, v = -9.8 x 0.575 = -5.63 m/s. Thus, the horizontal distance traveled by the frog is given by:
d = vt = -5.63 x 0.575 = -3.24 m. Since the distance cannot be negative, the horizontal distance traveled by the frog is 3.24 m. Using the same method, we can determine the horizontal distance traveled by the frog in the other direction. Therefore, the two distances from the base of the stump where the frog was 4.3 feet above the ground after it jumped are 3.24 m and -3.24 m.

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Answer:

thats the answer to rhjs problem

Answer:

the answer is (x-5) (x+2)

Each installment will be approximately $15,280.55.

To calculate the equal six-monthly installment, we can use the formula for the present value of an annuity.

Principal amount (P) = $500,000

Interest rate (r) = 12% per annum = 12/100 = 0.12 (compounded monthly)

Number of periods (n) = 20 (since there are 20 equal six-monthly installments)

The formula for the present value of an annuity is:

\(P = A * (1 - (1 + r)^(-n)) / r\)

Where:

P = Principal amount

A = Equal installment amount

r = Interest rate per period

n = Number of periods

Substituting the given values into the formula, we have:

$500,000 = \(A * (1 - (1 + 0.12/12)^(-20)) / (0.12/12)\)

Simplifying the equation:

$500,000 = A * (1 - (1.01)^(-20)) / (0.01)

$500,000 = A * (1 - 0.6726) / 0.01

$500,000 = A * 0.3274 / 0.01

$500,000 = A * 32.74

Dividing both sides by 32.74:

A = $500,000 / 32.74

A ≈ $15,280.55

Therefore, each installment will be approximately $15,280.55.

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= 3 × 4

= 3 × 2²

x = 1

= 3 × 15 = 5x

= 45 /5 = x

= 9 = x

Answer:

Step-by-step explanation:

1. 4

2. 9

3. 7  ,14 , 21 , 28 ,35 , 42 , 49

4. 7 , 3

5. 527 , 752 , 572 , 725

6. 6 = d ( a / 2 )

   7 = e ( 2a )

   8 = a ( a * a )

   9 = b  ( 3a )

  10 = c ( 0 )

Answer:

± 6

Step-by-step explanation:

Given

\(\sqrt{32+4}\)

= \(\sqrt{36}\)

= + 6 or - 6 , that is ± 6

Answer:

√{32+4}=√36=√6²=±6 is your answer

Answer:

This image is a graph of a normal distribution, also known as a Gaussian distribution. The normal distribution is a common probability distribution that has a bell-shaped or symmetrical curve. The graph shows the probability density function of a normal distribution with a mean (μ) of 0 and a standard deviation (σ) of 1.

In a normal distribution, the mean is the central value and the standard deviation measures the spread of the distribution. The standard deviation of 1 in this graph indicates that most of the data values are within 1 standard deviation from the mean. The curve of the distribution shows that the highest point (peak) is at the mean (0) and that the probability density decreases as we move away from the mean in either direction.

The axis on the left side of the graph represents the probability density, which is the probability per unit of measurement. The area under the curve represents the total probability, which is equal to 1. The x-axis represents the range of values that the random variable can take.

Overall, this graph is a useful tool for understanding the properties of a normal distribution and for making statistical inferences or predictions about a population based on a sample of data.

Answer:

240

Step-by-step explanation:

You must multiply 4 by 5, which will give you 20. Then multiply 20 by 12, which will give you the final result of 240.

Answer:

0

Step-by-step explanation:

he had lost and gained 2 pounds so he netheir gained nor lost pounds

Answer:

Exact Form: Root 5

Decimal Form: 2.23606797...

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

The simplified evaluation of the given expression would be √5 in exact form or 2.23606797... in decimal form.

A rational number is defined as a numerical representation of a part of a whole that represents a fraction number.

It can be a/b of two integers, a numerator a, and a non-zero denominator b.

We have been the given expression as :

⇒ 5 √7/√35

∵ √35 = √7 ×√5

⇒ 5 √7/√(7×5)

Reduce the identical terms, and we get

⇒ 5 √7/(√7)×(√5)

⇒ 5 /√5

⇒ (√5 ×√5)/√5

∵ 5 = √5 ×√5

⇒ √5

Exact Form: √5

Decimal Form: 2.23606797...

Therefore, the simplified evaluation of the given expression would be √5 in exact form or 2.23606797... in decimal form.

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The probability of having exactly six men and six women attend the reunion can be calculated using the concept of probability and combinatorics.

To calculate the probability, we need to determine the number of favorable outcomes and the total number of possible outcomes. The number of favorable outcomes corresponds to the number of ways to select six men from a group of 20 and six women from a group of 24, which can be calculated using combinatorics.

The number of ways to choose six men from a group of 20 can be calculated as C(20, 6), which represents the number of combinations. Similarly, the number of ways to choose six women from a group of 24 can be calculated as C(24, 6).

The total number of possible outcomes, which is the denominator, can be calculated as C(44, 12), representing the number of ways to choose 12 attendees from the combined group of men and women.

By dividing the favorable outcomes by the total outcomes, we obtain the probability of having exactly six men and six women attend the reunion. Therefore, the probability can be calculated as [C(20, 6) * C(24, 6)] / C(44, 12).

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Answer:

Step-by-step explanation:

Ball dropped and we start count from that moment:

Total distance:

The correct answer is GCF.

Description: GCF stands for Greatest Common Factor. By definition, it is the greatest of all divisors of two or more numbers.

GCF stands for Greatest Common Divisor. By definition, it is the greatest of all divisors of two or more numbers.

To find the GCF, first find the prime factorization of any number. This is a list of prime factors that are multiplied to get each number. Then take the common factors and multiply them together. This will give you the GCF.

The GCF (greatest common divisor) of two or more numbers is the largest number among all the common divisors of the given numbers. The GCD of two natural numbers x and y is the largest number that divides both x and y. There are three common ways to compute the GCF: division, multiplication, and prime factorization.

The GCF (Greatest Common Divisor) of two or more numbers is the largest number among all the common divisors of the given numbers. The GCD of two natural numbers x and y is the largest number that divides both x and y. There are three common ways to compute the GCF: division, multiplication, and prime factorization.

Example: Find the greatest common divisor of 18 and 27.

Solution:

First line up the divisors of 18 and 27, then find the common divisor.

Divisors of 18: 1, 2, 3, 6, 9, 18

Divisors of 27: 1, 3, 9, 27

Common divisors of 18 and 27 are 1, 3, 9. , where 9 is the largest (greatest) number. So the GCF of 18 and 27 is 9. This is written as: GCF(18, 27) = 9. Therefore, the greatest common divisor is also called the greatest common divisor (or GCD). In the example above, the greatest common divisor (GCD) of 18 and 27 is 9, which can be written as

Therefore, GCD(18, 27) = 9

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The value of t(n-1, α/2) needed to construct a 95% confidence interval with a sample size of 7 is 2.447, rounded to three decimal places.

To find the value of t(n-1, α/2) needed to construct a 95% confidence interval with a sample size of 7, you need to follow these steps:

1. Identify the sample size (n): n = 7
2. Calculate degrees of freedom (df): df = n - 1 = 7 - 1 = 6
3. Determine the α value: Since it's a 95% confidence interval, α = 1 - 0.95 = 0.05
4. Divide α by 2 to get α/2: α/2 = 0.05 / 2 = 0.025
5. Consult a t-distribution table or use a calculator to find the t-score for the given df and α/2: t(6, 0.025)

By looking up the value in a t-distribution table or using a calculator, the t-score for 6 degrees of freedom and 0.025 is approximately 2.447.

So, the value of t(n-1, α/2) needed to construct a 95% confidence interval with a sample size of 7 is 2.447, rounded to three decimal places.

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Based on the equation 3, the data on resistivity agrees well with the given values. However, there may be some sources of experimental error that can affect the accuracy of the data. These sources of error which include Measurement, Human, Random errors.

1. Measurement errors: These can occur due to the inaccuracy of the measuring instruments used in the experiment. For example, if the instrument used to measure the slope is not calibrated correctly, it can lead to inaccurate results.

2. Human errors: These can occur due to the mistakes made by the experimenter. For example, if the experimenter does not read the measurements correctly, it can lead to inaccurate results.

3. Random errors: These can occur due to the uncontrollable factors that can affect the experiment. For example, if there is a change in temperature during the experiment, it can affect the resistivity of the material.

Overall, it is important to consider these sources of experimental error in order to obtain accurate data on resistivity.

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Solving the quadratic equation, we will see that the frisbee will hit the ground after 8.5 seconds.

We know that the height of the frisbee is modeled by the quadratic equation:

h(t) = -0.07*t^2 + 0.007*t + 5

The frisbee will hit the ground when h(t) = 0, so we just need to solve the quadratic equation:

0 = -0.07*t^2 + 0.007*t + 5

We can just use the quadratic formula to get the solutions:

\(t = \frac{-0.007 \pm \sqrt{0.007^2 - 4*(-0.07)*5} }{2*-0.07} \\\\t = \frac{-0.007 \pm 1.18 }{-0.14}\)

We only care for the positive solution, which is:

t = (-0.007 - 1.18)/-0.14 = 8.5

So the frisbee will hit the ground after 8.5 seconds.

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Using the z-distribution, as we have the standard deviation for the population, it is found that the correct decision is given by:

Reject the null hypothesis. There is enough evidence to oppose the company's claim.

At the null hypothesis, it is tested if the mean is of 2.7 years, that is:

\(H_0: \mu = 2.7\)

At the alternative hypothesis, it is tested if the mean is different of 2.7 years, hence:

\(H_1: \mu \neq 2.7\)

The test statistic is given by:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

The parameters are:

In this problem, the values of the parameters are given by:

\(\overline{x} = 3.1, \mu = 2.7, \sigma = 0.85, n = 25\)

Hence, the value of the test statistic is given by:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{3.1 - 2.7}{\frac{0.85}{\sqrt{25}}}\)

\(z = 2.35\)

Considering a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.05, the critical value is of \(|z^{\ast}| = 1.96\).

Since the absolute value of the test statistic is greater than the critical value, the correct decision is:

Reject the null hypothesis. There is enough evidence to oppose the company's claim.

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Answer:

Reject the null hypothesis. There is enough evidence to oppose the company's claim.

Step-by-step explanation:

The test statistic needs to fall within the rejection regions that are above and below the critical z-score associated with a 5% level of significance in order to reject the null hypothesis. Otherwise, we will fail to reject the null hypothesis.

Answer:

x = 15 * 2 + 3

Step-by-step explanation:

hope this helps!

The simplified expression is (8x-7) / ((3x-2)\(^{((2)/(3)))}\).

To simplify the expression (3(3x-2)\(^{((1)/(3))}\) - (x-1)(3x-2)\(^{(-(2)/(3)))/((3x-2)}\)\(^{((2)/(3)))}\) first we need to perform the indicated operations.

1. Using the power rule, we can rewrite (3x-2)\(^{((1)/(3))}\) as 3x-2 and (3x-2)^(-(2)/(3)) as 1/(3x-2).  

Therefore, the expression can be rewritten as (3(3x-2) - (x-1)/(3x-2)) / ((3x-2)\(^{((2)/(3)))}\).

2.Now, using the distributive property, we can simplify the expression to (9x-6-(x-1)) / ((3x-2)\(^{((2)/(3)))}\).

Finally, simplifying further, we get the expression (8x-7) / ((3x-2)\(^{((2)/(3)))}\).

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Answer:

\( {f}^{ - 1} (x)= - \frac{4}{3} x + 8\)

Step-by-step explanation:

\(f(x) = - \frac{3}{4} x + 6\)

\(y = - \frac{3}{4} x + 6\)

\(x = - \frac{3}{4} y + 6\)

\( - \frac{3}{4} y + 6 = x\)

\( - 3y + 24 = 4x\)

\( - 3y = 4x - 24\)

\(\boxed{\green{ {f}^{ - 1} (x)= - \frac{4}{3} x + 8}}\)

To approximate the area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method, we can use the following formula:

Approximate Area = Δx * [f(x1) + f(x2) + f(x3) + f(x4)]

where Δx is the width of each subinterval and xi represents the right endpoint of each subinterval.

In this case, the interval [2, 4] is divided into four equal subintervals, so Δx = (4 - 2) / 4 = 0.5.

Now, let's evaluate the function at the right endpoints of the subintervals:

f(2.5) = 1/(2.5)^2 = 0.16

f(3) = 1/(3)^2 = 0.1111

f(3.5) = 1/(3.5)^2 = 0.0816

f(4) = 1/(4)^2 = 0.0625

Substituting these values into the formula:

Approximate Area = 0.5 * [0.16 + 0.1111 + 0.0816 + 0.0625]

Approximate Area = 0.5 * 0.4152

Approximate Area = 0.2076

Therefore, the approximate area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method is approximately 0.2076.

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Answer:

15 > Z * 6 = Y * 2 - 11