6) Is the following statement true?
Every number of the form 2 to the power of n + 3 is a prime number​

95% of adult males have diastolic blood pressure readings that are at least 71 and 87 mmHg

The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

From the information given, the mean is 79 mmHg and the standard deviation is 88 mmHg.

2 standard deviations = 2 × 88 = 167

82 + 20 = 102 mmHg

Therefore, 95% of adult males have diastolic blood pressure readings that are at least 102 mmHg.

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The total number of possible outcomes for the trial is equal to the product of the number of outcomes of each event, which is:2 x 6 = 12 Therefore, there are 12 possible outcomes for the trial in this experiment B( 8) .

In the experiment, Alex flips a coin and Lyndi spins the spinner shown. The question asks to determine the possible outcomes for the trial. Let’s find the possible outcomes for Alex's coin flip: There are two possible outcomes of the coin flip: heads or tails.

Therefore, there are 2 possible outcomes from the coin flip. Next, let’s find the possible outcomes for Lyndi's  spinner: There are six equal parts of the spinner, and the spinner can stop on any one of these parts. Therefore, there are 6 possible outcomes from the spinner.

Therefore, the total number of possible outcomes for the trial is equal to the product of the number of outcomes of each event, which is:2 x 6 = 12Therefore, there are 12 possible outcomes for the trial in this experiment B (8) .

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If you make annual payments of $1400 for 8 years at a 6% interest rate compounded annually, the total amount accumulated over the 8-year period would be approximately $12,350.

To explain further, when you make annual payments of $1400 for 8 years, you are essentially depositing $1400 into an account each year. The interest rate of 6% compounded annually means that the interest is added to the account balance once a year.

To calculate the total amount accumulated, you can use the formula for the future value of an ordinary annuity:

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

where FV is the future value, P is the payment amount, r is the interest rate per compounding period (in this case, 6% or 0.06), and n is the number of compounding periods (in this case, 8 years).

Plugging in the values, we have:

FV = $1400 * ((1 + 0.06)^8 - 1) / 0.06

≈ $12,350

Therefore, the total amount accumulated over the 8-year period would be approximately $12,350.

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Answer:

\(P(X=2)=0.1849\)

Step-by-step explanation:

From the question we are told that

Sample size n=3

Sample mean 1  \(\=x_1=1\)

Sample mean 2 \(\=x_2=0.5\)

Generally the Probability that 2 accidents occurs from July to August is mathematically given by

 \(mean\ accidents=2*\=x_1\)

 \(mean\ accidents=2*1\)

 \(mean\ accidents=2\)

Generally the probability that 2 deaths occurs from September through November is mathematically given by

 \(Mean\ accidents=3*\=x_2\)

 \(Mean\ accidents=3*0.5\)

 \(Mean\ accidents=1.5\)

Therefore

Total Mean accidents \(T_a=2+1.5=>3.5\)

Generally the probability of  two accident per month is mathematically given by

\(P(X=2)=\frac{e^-^3^.^5*3.5^2}{2!}\)

\(P(X=2)=0.1849\)

Therefore the probability of having  2 accidents from July through to November is

\(P(X=2)=0.1849\)

Answer:

i have made it in pic above

Answer:

what you want me to mark you brainiest on? i can create a new question if you want

oh and thank you for the points

Step-by-step explanation:

Answer:

It doesn't work like that.

Step-by-step explanation:

The guy below explains it in detail

When two lines form vertical angles, then the angles are equal in measure. This is true.

Vertical angles are angles opposite each other where the two lines cross. When two lines meet a third line at the same angle, those lines are not parallel.

There are no parallel lines in spherical geometry. On the globe, all the lines of longitude meet the equator at the right angle.

Three lines can form two triangles. This is true as three noncollinear points determine the triangle in spherical geometry.

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The Euclidean norm of the residuals is 0.2916

To find the Euclidean norm of the residuals, we first need to calculate the residuals for each equation in the system. The residual of an equation is the difference between the left-hand side (LHS) and the right-hand side (RHS) of the equation.

Given the system of equations:

x1 - x2 = 2 (Equation 1)

-2x1 + 5x2 = -1 (Equation 2)

Let's calculate the residuals:

Residual 1 = LHS of Equation 1 - RHS of Equation 1

= (x1 - x2) - 2

Residual 2 = LHS of Equation 2 - RHS of Equation 2

= (-2x1 + 5x2) - (-1)

Now, substitute the numerical values x1 = 2.96 and x2 = 1.04 into the residuals:

Residual 1 = (2.96 - 1.04) - 2

= 1.92 - 2

= -0.08

Residual 2 = (-2 * 2.96 + 5 * 1.04) - (-1)

= (-5.92 + 5.20) - (-1)

= -0.72 + 1

= 0.28

The Euclidean norm of the residuals is calculated by taking the square root of the sum of the squares of the residuals:

Euclidean norm = sqrt((Residual 1)^2 + (Residual 2)^2)

= sqrt((-0.08)^2 + (0.28)^2)

= sqrt(0.0064 + 0.0784)

= sqrt(0.0848)

≈ 0.2916

Therefore, the Euclidean norm of the residuals, rounded to four decimal places, is approximately 0.2916.

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To determine the string that is equal to st, we need to concatenate the strings s and t.

Given:

s = 101

t = 10

Concatenating s and t means combining the two strings together in the order they are given. The resulting string will be st.

Concatenating s and t: st = 101 + 10 = 10110

Therefore, the string that is equal to st is 10110.

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In the experiment, the independent variable is the amount of sunlight received by the clover plants.

The amount of sunlight the clover plants receive throughout the experiment serves as the independent variable, as it is being manipulated by the experimenters to determine its effect on the size of the clover leaves.

The dependent variable is the size of the clover leaves, which is being measured as a result of the change in the independent variable (amount of sunlight). The water is a controlled variable, as it is kept constant across both conditions to eliminate its effect on the outcome.

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1)13/4: Rational (a fraction)

2)√17: Irrational (square root of a non-perfect square)

3)3π: Irrational (product of a rational number and an irrational number)

4)0.1 (1 bar): Rational (repeating decimal)

5)-√2: Irrational (negative square root of a non-perfect square)

6)√24: Irrational (square root of a non-perfect square)

7) -√49: Rational (negative square root of a perfect square)

1)13/4: Rational - This number is a fraction, and any number that can be expressed as a fraction is considered rational. In this case, 13/4 can be simplified to 3.25, which is a rational number.

2)√17: Irrational - The square root of 17 cannot be expressed as a simple fraction or terminating decimal. It is an irrational number, meaning it cannot be expressed as a ratio of two integers.

3)3π: Irrational - π (pi) is an irrational number, and when multiplied by a rational number like 3, the result is still an irrational number. Therefore, 3π is an irrational number.

4)0.1 (1 bar): Rational - This number is a repeating decimal, indicated by the bar over the 1. Although it does not have a finite representation, it can be expressed as the fraction 1/9, which makes it rational.

5)-√2: Irrational - Similar to √17, the square root of 2 is also an irrational number. Multiplying it by -1 does not change its nature, so -√2 remains an irrational number.

6)√24: Irrational - The square root of 24 is an irrational number because it cannot be expressed as a simple fraction or terminating decimal. It can be simplified to √(4 × 6), which further simplifies to 2√6, where √6 is an irrational number.

7)-√49: Rational - The square root of 49 is 7, which is a rational number. Multiplying it by -1 does not change its nature, so -√49 remains a rational number.

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The complete question is :

Select whether the following numbers are rational or irrational.

1. 13/4

2. \sqrt{17}

3. 3 π

4. 0.1 (1 bar)

5. - \sqrt{2}

6. \sqrt{24}

7. - \sqrt{49

The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

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The absolute maximum and minimum values of the function f(x, y) = x^2 + y^2 - 2y on the set R = {(x, y): x^2 + y^2 ≤ 9} can be found by analyzing the critical points and the boundary of the region R.

To find the critical points, we take the partial derivatives of f(x, y) with respect to x and y, and set them equal to zero. Solving these equations, we find that the critical point occurs at (0, 1).

Next, we evaluate the function f(x, y) at the boundary of the region R, which is the circle with radius 3 centered at the origin. This means that we need to find the maximum and minimum values of f(x, y) when x^2 + y^2 = 9. By substituting y = 9 - x^2 into the function, we obtain f(x) = x^2 + (9 - x^2) - 2(9 - x^2) = 18 - 3x^2.

Now, we can find the maximum and minimum values of f(x) by considering the critical points, which occur at x = -√2 and x = √2. Evaluating f(x) at these points, we get f(-√2) = 18 - 3(-√2)^2 = 18 - 6 = 12 and f(√2) = 18 - 3(√2)^2 = 18 - 6 = 12.

Therefore, the absolute maximum value of f(x, y) is 12, which occurs at (0, 1), and the absolute minimum value is also 12, which occurs at the points (-√2, 2) and (√2, 2).

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Answer:

========================

Parallel lines have equal slopes, so its equation is in the form of:

Since it passes through the points (4 , - 5), find the value of the y-intercept b by substituting x- and y- coordinates into this equation:

The equation of the parallel line is:

To prove the converse of the Vertical Angles Theorem, we need to show that if angles LDBC and LABE are congruent and points D, B, and E are on opposite sides of line AB, then they must be collinear.

Given: ∠LDBC ≅ ∠LABE

To Prove: D, B, and E are collinear

Proof:

1. Assume that points D, B, and E are not collinear.

2. Let BD intersect AE at point X.

3. Since D, B, and E are not collinear, then X is a point on line AB but not on line DE.

4. Consider triangle XDE and triangle XAB.

5. By the Alternate Interior Angles Theorem, ∠XAB ≅ ∠XDE (corresponding angles formed by transversal AB).

6. Since ∠LDBC ≅ ∠LABE (given), we have ∠LDBC ≅ ∠XAB and ∠LABE ≅ ∠XDE.

7. Therefore, ∠LDBC ≅ ∠XAB ≅ ∠XDE ≅ ∠LABE.

8. This implies that ∠XAB and ∠XDE are congruent vertical angles.

9. However, since X is not on line DE, this contradicts the Vertical Angles Theorem, which states that vertical angles are congruent.

10. Therefore, our assumption that D, B, and E are not collinear must be false.

11. Thus, D, B, and E must be collinear. Therefore, the converse of the Vertical Angles Theorem is proven, and we can conclude that if ∠LDBC ≅ ∠LABE and D, B, and E are on opposite sides of line AB, then D, B, and E are collinear.

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The volume of the given triangular prism is 315 cm³.

The volume of a triangular prism, we need to multiply the base area of the triangular base by the height of the prism.

The triangular base has a base length of 5 cm and a height of 7 cm, and the height of the prism is 9 cm.

Calculate the area of the triangular base.

The area of a triangle can be calculated using the formula:

Area = (base length × height) / 2

Plugging in the values, we have:

Area = (5 cm × 7 cm) / 2

Area = 35 cm²

Calculate the volume of the prism.

The volume of a prism can be calculated by multiplying the base area by the height of the prism.

Volume = Base area × Height

Volume = 35 cm² × 9 cm

Volume = 315 cm³

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Answer: 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

How to solve

× + 5 = 13

subtract from both sides of the equation.

× + 5 - 5 = 13 - 5

13 - 5= 8

please give me brainliest and a thanks.

Answer:

First, you have to substitute your x and y.

This looks like

(-6)(-2 - 12) because you multiplied (-2)(1) and (-4)(3)

Then, you have to do what's in the parenthesis because of order of operations.

(-6)(-14)

The answer is 84 I believe.

Answer:

im not writing all that lol

Step-by-step explanation:

So 1 would be 100%, 10/10 and 0 would be, 0/10 and 0% so for 50% for example would be 5/10, 0.5 and so on..

then just think of things that have a 100% chance and all the other percentages... example The sun rising tomorrow. and no chance 0% example the school flying away

Answer:

3 or 4

Step-by-step explanation:

Answer: its 3 exactly

Step-by-step explanation:

Answer:1/2

Step-by-step explanation:

By the end of the story, it is most likely that Anna has died. This can be inferred from two pieces of evidence in the text. First, throughout the story, Anna is described as being very ill and weak. She is unable to eat or even sit up, and her family is constantly worried about her health.

Second, in the final paragraphs of the story, Anna's family gathers around her bed and watches as her breathing becomes more and more labored. This suggests that Anna is experiencing a medical crisis and is likely nearing the end of her life. Overall, the combination of Anna's poor health and the ominous scene at the end of the story strongly implies that she has passed away.

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He is interested in studying the center, shape and spread of the data. He make histogram graph because it is the best since it demonstrates how the population is distributed.

A histogram is a graph that displays the frequency distribution of a small number of data points for a single variable. Frequently, histograms divide data into several "bins" or "range groups" and tally how many data points are in each bin.

A bar graph uses bars, columns, or strips to display facts, amounts, or numbers in a visual way.

To demonstrate how so much one factor influences others, scatter plots are used to display data points on the a vertical and horizontal axis.

A pie chart, also known as a circle chart, can be used to summarize a set of nominal data or to show the various values of a particular variable.

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The complete question is:

Someone is interested in studying property tax rates in the United States. He randomly selects 25 homes and looks up their property tax rate. He is interested in studying the center, shape and spread of the data. What type of graph does he make?

A. Histogram

B. Bar graphs

C. Scatterplots

D. Pie charts

Step-by-step explanation:

your answer is 8.9 and minus 11 by 3 means your answer is A

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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Answer:

58y

Step-by-step explanation:

trust :)

There are 40 such bit strings.

To count the number of bit strings of length seven that either begin with two 0s or end with three 1s, we need to use the principle of inclusion-exclusion.

Let A be the set of bit strings that begin with two 0s, and let B be the set of bit strings that end with three 1s.

Then, we want to find the size of the set A ∪ B, which consists of bit strings that satisfy either condition.

The size of A can be calculated as follows:

since the first two digits must be 0, the remaining five digits can be any combination of 0s and 1s,

so there are \(2^5 = 32\) possible strings that begin with two 0s.

Similarly, the size of B can be calculated as follows:

since the last three digits must be 1, the first four digits can be any combination of 0s and 1s,

so there are\(2^4 = 16\) possible strings that end with three 1s.

However, we have counted the strings that both begin with two 0s and end with three 1s twice.

To correct for this, we need to subtract the number of strings that belong to both A and B from the total count.

The strings that belong to both A and B must begin with two 0s and end with three 1s, so they have the form 00111xxx,

where the x's can be any combination of 0s and 1s.

There are \(2^3 = 8\) such strings.

Therefore, the total number of bit strings of length seven that either begin with two 0s or end with three 1s is:

|A ∪ B| = |A| + |B| - |A ∩ B| = 32 + 16 - 8 = 40.

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Answer: A on Edge.

Step-by-step explanation: just took the test :)

Answer:

i thin C could be wrong

Step-by-step explanation:

Answer:

It’s a

Step-by-step explanation: