Find the side of an equalent triangle whos area is is 49sqrt(3)cm^(2)

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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2 + 1 = 3

-7 - (-4) can be written as -7 + 4 = -3

-1 - (-7) can be written as -1 + 7 = 6

Answer: The addition problems and their simplified expressions are:

2 + 1 = 3

-7 - (-4) = -7 + 4 = -3

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

Answer:

multiply both fractions by 12 and you get 2 grams for 1 pan

Step-by-step explanation

Answer:2 grams

Step-by-step explanation:you multiply the factions and get 3

There is no significance difference in the variation in the listening times for men and women.

In this study conducted by Arbitron Media Research Incorporated, the iPod listening habits of men and women were examined. One aspect of the study focused on the mean listening time for both genders. The objective is to determine if there is a significant difference in the variation of listening times between men and women. To do so, statistical analysis will be conducted using the given data.

To determine if there is a significant difference in the variation of listening times between men and women, we can perform a hypothesis test. Let's denote the mean listening time for men as μ₁, the mean listening time for women as μ₂, the standard deviation for men as σ1, and the standard deviation for women as σ₂.

Null Hypothesis (H₀): There is no difference in the variation of listening times between men and women. In mathematical terms, H₀ : σ₁ = σ₂.

Alternative Hypothesis (H₁): There is a difference in the variation of listening times between men and women. In mathematical terms, H₁ : σ₁ ≠ σ₂.

We will use a significance level of 0.10, which indicates that we are willing to accept a 10% chance of rejecting the null hypothesis when it is true.

To test this hypothesis, we can use the F-test for comparing variances. The F-test compares the ratio of the variances between two independent samples. In this case, the samples are the listening times of men and women. The F-test statistic is calculated as follows:

F = (s₁²) / (s₂²)

where s₁ and s₂ are the sample variances. In this case, the sample variances are the square of the standard deviations provided.

Let's calculate the F-test statistic using the given data:

For men:

Sample size (n₁) = 8

Sample standard deviation (s₁) = 12 minutes/day

Sample variance (s₁²) = (12²) = 144 minutes²/day²

For women:

Sample size (n₂) = 10

Sample standard deviation (s₂) = 16 minutes/day

Sample variance (s₂²) = (16²) = 256 minutes²/day²

Calculating the F-test statistic:

F = (s₁²) / (s₂²) = 144 / 256 ≈ 0.5625

Next, we need to determine the critical value for the F-test statistic at a significance level of 0.10. This critical value can be found in the F-distribution table. Since the sample size is small, we will use the F-distribution table.

With a sample size of 8 for men and 10 for women, the degrees of freedom for the numerator (df₁) is 7 (n₁ - 1) and the degrees of freedom for the denominator (df₂) is 9 (n₂ - 1).

Looking up the critical value from the F-distribution table with df₁ = 7 and df₂ = 9, at a significance level of 0.10, we find the critical value to be approximately 2.76.

Now, we compare the calculated F-test statistic with the critical value. If the calculated F-test statistic is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

In this case, the calculated F-test statistic (0.5625) is less than the critical value (2.76). Therefore, we fail to reject the null hypothesis. This means that there is no enough evidence to conclude that there is a significant difference in the variation of listening times between men and women at the 0.10 significance level.

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Answer:

2/4

Step-by-step explanation:

i..dk i think it is 2/4

Answer:

I think it is 2, downwards

Answer:

vertical shift of 2 units up

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

f(x) = 9 | x + 1 | + 2

Represents a vertical shift of 2 units up of the parent function

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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The number of patients that a nurse cares for in the emergency room is a continuous variable. This is because the number of patients can take on any value within a certain range, for example, it can range from zero to infinity.

Additionally, the number of patients that a nurse cares for can take on fractional values, such as 3.5 patients. Therefore, it is not possible to list out all the possible outcomes for this variable, as there are an infinite number of possible outcomes.

In contrast, a discrete variable takes on specific values that can be counted, such as the number of children in a family, where the possible values are 0, 1, 2, 3, and so on.

It is important to distinguish between discrete and continuous variables, as this affects the type of statistical analysis that can be performed on the data. Continuous variables are analyzed using methods such as correlation and regression analysis, while discrete variables are analyzed using methods such as frequency tables and chi-square tests.

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Answer:5 10 15 and so on

Step-by-step explanation:it is numbers that are in the 55 times table

Answer:

Factors of 55: 1, 5, 11 and 55.

Prime Factorization of 55: 55 = 11 × 5.

Answer:

6:20 AM

Step-by-step explanation:

Answer: 6:20

Step-by-step explanation:

Answer:

y = 8/3x - 4

Step-by-step explanation:

Slope-intercept form is represented by [ y = mx + b ] where m = slope and b = y-intercept.

We are given the slope of 8/3 and a y-intercept of -4. So, we can put this information into the formula shown above.

y = 8/3x - 4

Best of Luck!

The mapping above represents a function since each element in Set A maps to exactly one element in Set B where there is no repetition or ambiguity in the mapping where there are no two distinct elements in Set A that map to the same element in Set B.

Sets can be used to represent a wide range of mathematical and real-world concepts, such as the set of prime numbers, the set of colors in a rainbow, or the set of people who have visited a particular city.

Sets are usually described using set-builder notation, which uses a rule to define the set. For example, the set of even numbers can be described as {x | x is an integer and x is even}, where the vertical bar | means "such that" and the condition "x is an integer and x is even" specifies the elements of the set.

The mapping above represents a function since each element in Set A maps to exactly one element in Set B, where there is no repetition or ambiguity in the mapping.

To fill in the blanks:

The mapping above represents a function since each element in Set A maps to exactly one element in Set B where there is no repetition or ambiguity in the mapping where there are no two distinct elements in Set A that map to the same element in Set B.

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Answer:

price of an adult ticket = a = $7

price of a student ticket = s = $6

Step-by-step explanation:

price of an adult ticket = a

price of a student ticket = s

7a + 7s = 91 (1)

14a + 12s = 170 (2)

Multiply (1) by 2

7a + 7s = 91 (1) × 2

14a + 14s = 182 (3)

14a + 12s = 170 (2)

Subtract (2) from (3) to eliminate x

14s - 12s = 182 - 170

2s = 12

s = 12/2

s = 6

Substitute s = 6 into (1)

7a + 7s = 91 (1)

7a + 7(6) = 91

7a + 42 = 91

7a = 91 - 42

7a = 49

a = 49/7

a = 7

price of an adult ticket = a = $7

price of a student ticket = s = $6

The quality control engineer will test the parts every 3 minutes.

To determine how often the quality control engineer tests the parts, we need to find the least common multiple (LCM) of the time it takes for the first machine to make a part and the time it takes for the second machine to make a part.
The first machine makes a part every 12 seconds, while the second machine makes a part every 45 seconds.
To find the LCM, we can list the multiples of each number and look for the smallest number that appears in both lists:
Multiples of 12: 12, 24, 36, 48, 60, 72, ...
Multiples of 45: 45, 90, 135, 180, 225, 270, ...
From the lists above, we can see that the smallest number that appears in both lists is 180.
Therefore, the quality control engineer will test the parts every 180 seconds.
To express the answer in minutes, we can convert 180 seconds to minutes:
180 seconds ÷ 60 = 3 minutes

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The equivalent choice to the fraction \(\frac{3}{\sqrt{x+3}-\sqrt{x}}$ is $\sqrt{x+3}+\sqrt{x}$.\)

A fraction is a way of representing a part of a whole or a number that is not a whole number. A fraction consists of two numbers, one on top of the other, separated by a horizontal line. The number on top is called the numerator, and the number on the bottom is called the denominator. The numerator represents the number of parts we are considering, while the denominator represents the total number of parts in the whole. For example, the fraction 3/4 represents three parts out of a total of four parts. Fractions are used in many different areas, such as in mathematics, cooking, and measurements.

To rationalize the denominator of the fraction \($\frac{3}{\sqrt{x+3}-\sqrt{x}}$\), we can multiply both the numerator and the denominator by the conjugate of the denominator, which is \($(\sqrt{x+3}+\sqrt{x})$\). This gives:

\(\frac{3}{\sqrt{x+3}-\sqrt{x}} \cdot \frac{\sqrt{x+3}+\sqrt{x}}{\sqrt{x+3}+\sqrt{x}}\)

Simplifying this expression by using the difference of squares on the denominator, we get:

\(\frac{3[(\sqrt{x+3}+\sqrt{x})]}{(x+3)-x}\)

The x terms in the denominator cancel out, leaving:

\($\frac{3[(\sqrt{x+3}+\sqrt{x})]}{3}\)

Simplifying further, the 3s cancel out, leaving:

\($$\sqrt{x+3}+\sqrt{x}$$\)

Therefore, the equivalent choice to the fraction \(\frac{3}{\sqrt{x+3}-\sqrt{x}}$ is $\sqrt{x+3}+\sqrt{x}$.\)

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The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

Answer:

256, 1024, 4096

Step-by-step explanation:

Multiply the number by 4 to get the next one.

Brainliest please

The final value of x when (x = 1 ; x<10; x ),in this case will be 9.

This is because the initial value of x is set to 1, and the condition for the loop is that x must be less than 10.

Therefore, the loop will continue to execute as long as x is less than 10, and will stop when x is equal to 10. However, since the final value of x is not included in the loop, the final value of x will be one less than the stopping value, or 9.

Steps include:-
1. Set the initial value of x to 1: x = 1
2. Check if x is less than 10: x<10
3. If x is less than 10, execute the loop and increase the value of x by 1: x++
4. Repeat steps 2 and 3 until x is no longer less than 10
5. The final value of x will be one less than the stopping value, or 9.

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Cartlon's score is 4.5434.

Given that,

Carlton has a z-score 1.74 on the achievement test.

From the z-table we get the value 0.959.

We know the formula for standard deviation,

z = (x - μ) / σ

where x = score, σ = standard deviation, μ =  mean

Now z-score corresponding to 98th percentile is 2.06

substituting the values in the above equations,

2.06 = (x - 0.959) / 1.74

i.e. x - 0.959 = 2.06 * 1.74

                    x = 3.5844 + 0.959

                    x = 4.5434

Therefore carlton's score is 4.5434.

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the probability that the claim will be rejected assuming the manufacturer's claim is true is approximately 0.2489.

To find the probability that the claim will be rejected assuming the manufacturer's claim is true, we need to calculate the probability of having 70 or fewer patients cured out of 100.

First, we need to determine the mean (μ) and standard deviation (σ) of the binomial distribution.

For a binomial distribution, the mean (μ) is given by μ = n * p, where n is the number of trials (100 patients) and p is the probability of success (0.73).

μ = 100 * 0.73 = 73

The standard deviation (σ) of a binomial distribution is given by σ = sqrt(n * p * (1 - p)).

σ = sqrt(100 * 0.73 * (1 - 0.73)) = sqrt(100 * 0.73 * 0.27) = sqrt(19.71) ≈ 4.44

Next, we will use the normal distribution to approximate the binomial distribution. Since the sample size is large (n = 100) and both np (100 * 0.73 = 73) and n(1 - p) (100 * 0.27 = 27) are greater than 5, the normal approximation is valid.

We want to find the probability of having 70 or fewer patients cured, which is equivalent to finding the cumulative probability up to 70 using the normal distribution.

Using the z-score formula:

z = (x - μ) / σ

For x = 70:

z = (70 - 73) / 4.44 ≈ -0.6767

Now, we can use a standard normal distribution table or a calculator to find the cumulative probability up to z = -0.6767.

The cumulative probability P(X ≤ 70) is approximately 0.2489.

Therefore, the probability that the claim will be rejected assuming the manufacturer's claim is true is approximately 0.2489.

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Answer:

x = 8, y = -7

in coordinate form: (8,-7)

Step-by-step explanation:

first, find x using the second equation:

x - 9 = -1

add 9 to both sides of the equation

x - 9 + 9 = - 1 + 9

x = -1 + 9

x = 8

next, substitute x for 8 in the first equation:

2x - y = 23

2 * 8 - y = 23

16 - y = 23

16 - y + y = 23 + y

16 = 23 + y

16 - 23 = y

y = -7

also, I had this exact question on an assignment earlier today ahah

Answer:

3

Step-by-step explanation:

2 1/2 / 5/6

= 5/2 / 5/6

= 5/2 * 6/5

= 6/2

= 3

Hope this helps!

The polygon tool to graph the dilated figure will be drawn below.

The collection includes all locations on the surface of the shape (x, f(x)) that make up a function of f's graph. We may alternatively say that the graph of f is the curve of y = f. (x). As a result, the diagram of an equation is a particular instance of the graphs of functions.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.

The polygon tool to graph the dilated figure will be drawn below.

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The logarithmic value equation is A = logₓ ( y )²

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

A = ( logₓy )²

On simplifying , we get

(logₓy)² represents the logarithm of y to the base x, raised to the power of 2

From the properties of logarithm , we get

log Aⁿ = n log A

So , A = logₓ ( y )²

Hence , the equation is A = logₓ ( y )²

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Answer:

15/25 can be simplified to 3/5.

A function rule to model the relationship between the base and the height of all triangles of that given area is b = 360/h.

In Mathematics, an inverse variation can be modeled by this mathematical expression:

b ∝ 1/h

b = k/h

Where:

Based on the information provided above, we would determine the constant of proportionality (k) by substituting the value of the given variable as follows:

k = bh

k = 12 × 30

k = 360.

Therefore, the required function is given by:

b = 360/h

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For the given bond with a 20-year maturity, a par value of $1,000, a coupon rate of 10%, and a bond price of $850, the bond equivalent yield to maturity is approximately 13.59% and the effective annual yield to maturity is approximately 14.08%.

To find the bond equivalent yield and effective annual yield to maturity of a 20-year bond with a par value of $1,000, a coupon rate of 10%, and a bond price of $850, follow these steps:

1. Calculate the semiannual coupon payment: The coupon rate is 10%, so the annual coupon payment is 10% of the par value, which is $1,000. Therefore, the semiannual coupon payment is $1,000 * 10% / 2 = $50.

2. Calculate the number of semiannual periods: Since the bond has a 20-year maturity, there are 20 * 2 = 40 semiannual periods.

3. Calculate the yield to maturity (YTM) using the bond price: There are several methods to calculate the YTM, such as using financial calculators or spreadsheet software. For simplicity, let's use the trial-and-error method. Start by assuming a YTM, then calculate the present value of the bond's cash flows using that YTM. Adjust the YTM until the present value matches the bond price. For this example, let's assume a YTM of 6%.

  - Calculate the present value of the coupon payments: Since the coupon payments are semiannual, we need to discount them at the semiannual yield rate. The semiannual yield rate is half of the YTM, so it is 6% / 2 = 3%. We can use the present value of an ordinary annuity formula to calculate the present value of the coupon payments:
    PV_coupon = $50 * (1 - 1 / (1 + 3%)^40) / (3%)

  - Calculate the present value of the par value: The par value is received at the end of the bond's maturity, so we only need to discount it once at the YTM. The present value of a single payment formula can be used to calculate the present value of the par value:
    PV_par = $1,000 / (1 + 6%)^40

  - Calculate the total present value: The total present value is the sum of the present values of the coupon payments and the par value:
    PV_total = PV_coupon + PV_par

  - Adjust the assumed YTM until the present value matches the bond price: Iterate the above steps with different YTM values until the calculated present value matches the bond price of $850. In this example, let's assume that the YTM needed to achieve this is 6.5%.

4. Calculate the bond equivalent yield (BEY): The BEY is a measure of the bond's annual yield assuming a 365-day year, while the coupon payments are semiannual. To calculate the BEY, use the following formula:
  BEY = (1 + YTM)^2 - 1

  - Substitute the YTM value found in step 3:
    BEY = (1 + 6.5%)^2 - 1

5. Calculate the effective annual yield (EAY): The EAY is another measure of the bond's annual yield, but it takes into account the compounding effect of the semiannual coupon payments. To calculate the EAY, use the following formula:
  EAY = (1 + BEY / 2)^2 - 1

  - Substitute the BEY value found in step 4:
    EAY = (1 + BEY / 2)^2 - 1

In summary, for the given bond with a 20-year maturity, a par value of $1,000, a coupon rate of 10%, and a bond price of $850, the bond equivalent yield to maturity is approximately 13.59% and the effective annual yield to maturity is approximately 14.08%.

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