What is equivalent to 1:9

There are two types of errors that could be made:

a Type I error and a Type II error.

We have,

In step 5 of the hypothesis test, we make a decision to either reject or fail to reject the null hypothesis.

If we reject the null hypothesis, there are two types of errors that could be made:

a Type I error and a Type II error.

A Type I error occurs when we reject a true null hypothesis.

In this context, it means that we conclude that the percentage of packages delivered late is greater than 13% when in reality it is not.

This error is also known as a false positive.

A Type II error occurs when we fail to reject a false null hypothesis.

In this context, it means that we conclude that the percentage of packages delivered late is less than or equal to 13% when in reality it is greater than 13%. This error is also known as a false negative.

The probability of making a Type I error is denoted by α, which is given in the problem statement as α = 0.01.

Therefore, if we reject the null hypothesis, there is a 1% chance that we are making a Type I error.

Thus,

The probability of making a Type II error depends on the effect size, sample size, and significance level of the test.

Learn more about hypothesis testing here:

https://brainly.com/question/30588452

#SPJ1

Answer: I THINK 250

Step-by-step explanation: 125 is half and 125 times 2 is 250.

1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year

Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year

Gross Yearly Income = $31,200

2)Gross Monthly Income = Gross Yearly Income / Months in a Year

Gross Monthly Income = $31,200 / 12 months

Gross Monthly Income ≈ $2,600

Answer:

2x - 4 = 16

Step-by-step explanation:

'the difference' shows that its subtraction so u have to put a - in the equation

'double' means 2 and since you dont know the value of 'a number' you replace it with a variable like x. combine them and you get 2x

so far it should look like 2x -

4 is equal to 4 so just put a 4 in front of the subtraction sign

it'll look like 2x - 4 now

'is 16' basically means is equal to 16 so now ur equation should look like:

2x - 4 = 16

if you wanted to solve that u could add 4 to both sides then divide both sides by 2 and get x = 10

Answer:

x = 10

Step-by-step explanation:

2x - 4 = 16

2x = 20

x = 10

Hope that helps!

The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.

First, the rate of change

= (483 - 210) / (23 - 10)

= 273 / 13

= 21

So, the equation for the relationship between the number of bracelets made and the number of beads used.

(y - 210) = 21 (x-  10)

y - 210 = 21x - 210

y = 21x

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ1

The desired monthly yield at the retirement time will be equal to $565,714.28.

Compound Interest may be defined as the interest earned by the bank on the basis of principle and also accumulated interest which increases exponentially and not linearly with respect to time. In calculating compound interest, the amount earned at the end of first year becomes principle for the next year and so on. Compound interest can be calculated, annually, half-yearly or quarterly etc.

Time for which work is planned = 40 years, Principle = $4500 and APR = 8.4% = 0.084/12 = 0.007.

The value of n = 12 × 25 = 300

The amount can be calculated by the formula A = P/r [1 - (1 + r) ⁻ⁿ]

A = (4500/0.007) [1 - (1 + 0.007) ⁻³⁰⁰]

A = 642,857.14 [1 - 0.12]

A = 642,857.14 × 0.88

A = $565,714.28 which is required amount.

Learn more about Compound Interest at:

brainly.com/question/13463611

#SPJ9

Complete Question:

You plan to work for 40 years and then retire using a 25-year annuity. You want to arrange a retirement income of $4500 per month. You have access to an account that pays an APR of 8.4% compounded monthly. What monthly deposits are required to achieve the desired monthly yield at retirement?

The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

For more such questions on coefficients , Visit:

https://brainly.com/question/1038771

#SPJ8

how to solve this problem the answer is 321

Answer:

20% of 30 < 30% of 40

Step-by-step explanation:

Find 20% of 30

20/100 = x/30

Cross multiply

20 × 30 = 100 × x

600 = 100x

Divide both sides by 100

6 = x

Find 30% of 40

30/100 = x/40

Cross multiply

30 × 40 = 100 × x

1200 = 100x

Divide both sides by 100

12 = x

Compare the two answers:

6 and 12

6 < 12

The equation of the parabola with vertex at point (2, -11) and passes through the point (0, 5) is y = 4(x - 2)² - 11.

A straight line can be used to symbolise a function that is linear, meaning that for each unit change in the input, the output (y) changes by a fixed amount (x). While a parabola can be used to depict a function, a quadratic function has an output (y) that changes by a non-constant amount for each unit change in the input (x). In other words, a quadratic function curves because of the squared term in its equation.

Given, the parabola has vertex at point (2, -11) and passes through the point (0, 5).

Thus, the equation of parabola in vertex form is:

y = a(x - 2)² - 11

Now, the parabola passes through the point (0, 5) we have:

5 = a(0 - 2)² - 11

5 = 4a - 11

16 = 4a

a = 4

Hence, the equation of the parabola with vertex at point (2, -11) and passes through the point (0, 5) is y = 4(x - 2)² - 11.

Learn more about quadratic equation here:

https://brainly.com/question/30098550

#SPJ1

Answer:

she bought 5 shakes

Step-by-step explanation:

shakes: $3.39

tea: $2.50

2.50 + 3.39s = 19.45

3.39s = 16.95

s = 16.95 ÷ 3.39

s = 5

Check:

2.50 + 3.39(5) = 19.45

or

2.50 + 3.39 + 3.39 + 3.39 + 3.39 + 3.39 =  19.45

Answer:

Step-by-step explanation:

f(3) = -3 + 6 = 3

f(7)= -7 + 6 = -1

f(11)= -11 + 6 = -5

range:{3, -1, -5}

Answer:  geometric series

Step-by-step explanation:

If it is arithmetic, the difference from each term to the next will always be the same.

4096 - 1024 = 3072; 1024 - 256 = 768

3072 ≠ 768. so not arithmetic

If it is geometric, the ratio of each term to the next will always be the same.

4096/1024 = 4

1024/256 = 4

256/64 = 4

64/16 = 4

This is a geometric series. Each term (after the first) is (1/4) of the term before.

Hope this helps.

Answer:

n=5

Step-by-step explanation:

6 + 2n =16

2n÷2= 10÷2

n = 5

Each child will get 1 orange, and there will be one orange left over.

If you have five oranges and you need to distribute them among four children, then you need to find out how many oranges each child will get.

To do this, you can divide the total number of oranges by the number of children.

Let's see how to do this: Divide the number of oranges by the number of children.5 ÷ 4 = 1.25This means that each child will get 1.25 oranges.

However, since you can't give a child a fraction of an orange, you will need to round this number to the nearest whole number.

If the decimal is less than 0.5, you round down; if it's 0.5 or greater, you round up.

In this case, 1.25 is closer to 1 than to 2, so you round down to 1.

Therefore, Each child will receive one orange, with one orange remaining.

For more such questions on Divide

https://brainly.com/question/30126004

#SPJ8

Answer:

11

Step-by-step explanation:

A square root is any number that is multiplies by itself to get a number.

11*11=121

Hope this helps! Plz give brainiest!

a=1 b=2

1+2=3

1x2=2

hope this answers your question

Answer:

0

Step-by-step explanation:

1. Substitute the values in: \(2^0 - (-1)^2\)

2. Evaluate the expression:  \(2^0 = 1\), \((-1)^2 = 1\), which means that 1 - 1 is 0

Therefore, 0 is the answer.

a) The algebraic fraction \(\frac{{x + 2}}{{(x - 1)^2}}\) is proper. b) The algebraic fraction \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\) can be expressed as \(-\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

Let's solve each part step by step and determine whether the fraction is proper or improper, and then express it accordingly.

a) \(\frac{{x + 2}}{{(x - 1)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 1 (linear term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is less than the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

\(\frac{{x + 2}}{{(x - 1)^2}} = \frac{A}{{x - 1}} + \frac{B}{{(x - 1)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 1)^2)\) to eliminate the denominators:

  (x + 2) = A(x - 1) + B.

Expand the equation and collect like terms:

  x + 2 = Ax - A + B.

Equate the coefficients of like terms:

  Coefficient of x: 1 = A.

  Constant term: 2 = -A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = 1.

Substituting A = 1 into the constant term equation: 2 = -1 + B, we find B = 3.

Therefore, the partial fraction decomposition is:

  \(\frac{{x + 2}}{{(x - 1)^2}} = \frac{1}{{x - 1}} + \frac{3}{{(x - 1)^2}}\).

b) \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 2 (quadratic term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is equal to the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = \frac{A}{{x - 4}} + \frac{B}{{(x - 4)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 4)^2)\) to eliminate the denominators:

  (4x^2 - 31x + 59) = A(x - 4) + B.

Expand the equation and collect like terms:

  4x^2 - 31x + 59 = Ax - 4A + B.

Equate the coefficients of like terms:

Coefficient of \(x^2\): 4 = 0 (No \(x^2\) term on the right side).

Coefficient of x: -31 = A.

Constant term: 59 = -4A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = -31.

Substituting A = -31 into the constant term equation: 59 = 4(31) + B, we find B = -25.

Therefore, the partial fraction decomposition is:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = -\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

The above steps provide the solution for each part, including determining if the fraction is proper or improper and expressing it in partial fractions.

For more questions on algebraic fraction:

https://brainly.com/question/11875858

#SPJ8

Answer:

A'(3,5), B'(6,10), C'(8,8)

Answer:

a'(3,5) b'(6,10) c'(8,8)

All u do is replace the x and y values with the points and just add by 1 and 3

Answer:

there is no picture so I dont know what i have to do..

Hey there!

Substitute x = 2 to y = 3x - 1

=> y = 3(2) -1

=> y = 6 - 1

=> y = 5

x = 2,y = 5

Answer:C. 13/6

Step-by-step explanation:

The slope is always rise over run. So when going from the coordinate (-5,-7) to the coordinate (1,6) we go up 13 then go to the right 6. And since we went up and to the right it is a positive slope.

Step-by-step explanation:

1. We compute side a from coordinates using the Pythagorean theorem

2. We compute side b from coordinates using the Pythagorean theorem

3. We compute side c from coordinates using the Pythagorean theorem

Sides: a = 6.325   b = 5.831   c = 7.616

6. The triangle area using Heron's formula

Area: T = 18

Answer:

The mixture of Brand X has a higher concentration of vinegar

Step-by-step explanation:

Concentration

The concentration of a solution measures the amount of solute that has been dissolved in a given amount of solution. The question states the white vinegar is the solute and water is the solvent to produce the mix or solution.

The concentration can be calculated with the formula:

\(\displaystyle C=\frac{\mathrm{solute}}{\mathrm{solution}}\)

Brand X has 4 ml of white vinegar for every 20 ml of water. The total solution is 4 + 24 = 24 ml. Thus:

\(\displaystyle C_x=\frac{4}{24}=0.17\)

\(C_x=17\%\)

Brand Y has 5 ml of white vinegar for every 30 ml of water. The total solution is 5 + 30 = 35 ml. Thus:

\(\displaystyle C_y=\frac{5}{35}=0.14\)

\(C_y=14\%\)

The mixture of Brand X has a higher concentration of vinegar

Answer:

the equation of the regression line will be 1

Answer:

y=-5x+25

Step-by-step explanation:

because she is loosing 5 dollars it would be a negative and since we are starting off with $25 that's our y intercept

Answer:

$25-$5=x

Step-by-step explanation:

To turn the specified limit, which is a Riemann sum, within the known interval, [2, 6], and variable, \(x_i\), to a definite integral, the value, Δx is dx as n approaches infinity, to get;

\(\displaystyle \lim\limits_{n\to \infty}\sum\limits^n_{i=1}x_i\cdot \ln \left(1+x_i^2 \right) \Delta x, [2, \,6] = \int\limits^6_2 {x\cdot \ln \left(1+x_i^2 \right)} \, dx\)

A Riemann sum is an approximation of an integral, which is the area of a region, by making use of the sum of simplified slices that make up the region.

A definite integral is a calculation used to find the area under a graph of a function by making use of very small or infinitesimal stripes of the region under the graph of the function.

The expression in the question is a Riemann sum

\(\lim\limits_{n \to \infty} \sum\limits_{i=1}^n x_i\cdot ln \left(1 + x_i^2 \right) \Delta x, [2, 6]\)

The Riemann sum can be converted into a definite integral, using the equation, \(\displaystyle{\lim\limits_{n \to \infty} \sum\limits_{i=1}^n f(x_i)\Delta x = \int\limits^b_a {f(x)} \, dx }\)as follows;

The value of Δx is the value which values in the parenthesis are multiplying on the left, therefore; Δx is replaced with dx, as n → ∞

The limits of the Riemann sum in the question = [2, 6]

\(f(x_i) = x_i \cdot \ln\left(1 + x_i^2 \right)\), therefore, \(f(x) = x \cdot \ln\left(1 + x^2 \right)\)

Plugging in the the above values into the expression for the Riemann sum, we get the following definite integral;

\(\displaystyle{\lim\limits_{n \to \infty} \sum\limits_{i=1}^n x_i\cdot \ln \left(1 + x_i^2 \right) \Delta x, [2, 6] = \int\limits^6_2 {x\cdot \ln\left(1 + x^2\right)} \, dx\)

Learn more about Riemann sums here:

https://brainly.com/question/9043837

#SPJ1