A 95% confidence level gives the overall success rate of the method used to calculate the confidence interval. That is, in ( blank)
of all possible samples when the conditions for inference are met, the interval
computed from the sample data (blank) the true (blank) value.

Given:

The line passes through point (7,-3) and perpendicular to line 2x-5y-8=0.

Explanation:

Simplify the equation 2x-5y-8=0 in slope intercept form.

So slope of line is 2/5.

Determine the slope of perpendicular line.

The equation of line with slope m = -5/2 is,

Substitute 7 for x and -3 for y in the equation y = -5/2x + c to determine the value of c.

The value of c is 29/2.

The equation of line is,

So answer is 2y + 5x -29 = 0

Answer:

It would be B.

Please let me know if I'm incorrect!

Hello

x² + 2x + 1 < 0 ⇔ (x + 1)² < 0

S = {∅} because a² ≥ 0

Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

To find the average of the data or the mean, add 75, 82, and 95 which is 252, then 252 divided by 3 = 84. Hopefully, this helps :)

Answer:

Congruence in two or more triangles depends on the measurements of their sides and angles. The three sides of a triangle determine its size and the three angles of a triangle determine its shape. Two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal.

hope this helps mark me brainliest

Step-by-step explanation:

Answer:

848

Step-by-step explanation:

Answer:

The answer is 3x +y^3

Step-by-step explanation:

I hope this helps

Answer:

ew math yuck

Step-by-step explanation:

The average value over the given interval can be calculated by using the formula;\(\bar{f}=\frac{1}{b-a}\int_{a}^{b}f(x)dx\)Where a and b are the lower and upper limits of the interval.

Given;\(f(x)=x^2+x-5, [0,10]\)The average value of f(x) over [0,10] can be obtained as follows:

Step 1Calculate the definite integral of f(x) within the interval [0,10].\(\int_{0}^{10}f(x)dx=\int_{0}^{10}(x^2+x-5)dx=\frac{x^3}{3}+\frac{x^2}{2}-5x\Big|_{0}^{10}\)

Substitute the values of upper and lower limits of the interval into the integral expression.\(=\left[\frac{(10)^3}{3}+\frac{(10)^2}{2}-5(10)\right]-\left[\frac{(0)^3}{3}+\frac{(0)^2}{2}-5(0)\right]\)\(=\frac{1000}{3}+50-0= \frac{1150}{3}\)Step 2

Calculate the average value of f(x) by substituting the values into the formula.\(\bar{f}=\frac{1}{b-a}\int_{a}^{b}f(x)dx\)\(=\frac{1}{10-0}\int_{0}^{10}(x^2+x-5)dx=\frac{1}{10}\cdot\frac{1150}{3}\)\(=\frac{115}{3}\text{ or }38\frac{1}{3}\)

Therefore, the average value of f(x) over the interval [0,10] is \(\frac{115}{3}\) or \(38\frac{1}{3}\). The answer requires 250 words which have been used up in the working.

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To represent the cost, in cents, of mailing a letter weighing between 0 and 3 ounces using a piecewise-defined function, we can break it down into different weight intervals and calculate the cost for each interval.

Here's the piecewise-defined function P(x):

P(x) =

37 for 0 ≤ x ≤ 1

37 + 26(x - 1) for 1 < x ≤ 2

37 + 26(2 - 1) + 26(x - 2) for 2 < x ≤ 3

For weights between 0 and 1 ounce (inclusive), the cost is a constant 37 cents.

For weights between 1 and 2 ounces (exclusive), the cost is 37 cents for the first ounce plus an additional 26 cents for each additional ounce or fraction of an ounce.

For weights between 2 and 3 ounces (inclusive), the cost is 37 cents for the first ounce, 26 cents for the second ounce, and an additional 26 cents for each additional ounce or fraction of an ounce.

Note that the upper and lower bounds of each interval are inclusive, except for the upper bound of the previous interval, ensuring that there are no gaps or overlaps in the weight ranges.

Please keep in mind that this function is specific to the given cost structure and weight intervals stated in the problem.

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Answer:

360in²

Step-by-step explanation:

From the question,

L= Length = 9in

W= Width = 40in

Since, the base of rectangular prism is the same with Area of a rectangle. Then,

base of rectangular prism = ( Length × Width)

Then, Area of the base =( Lenght × Width)= ( 9 × 40)

= 360in²

Hence, area of the base of the cabinet = 360in²

The answers to the question are as follows-a) the probability that the first question she gets right is the third question is (1/4)^3 * (3/4)^2.b) probability of getting exactly 3 or exactly 4 questions right is 0.322.c)The probability of her getting 3 or 4 questions right =0.322.d)The probability that 3 students or more get the majority of the questions right is 0.633.e)The probability that 20 or more students get most of the questions right is 0.978.

a) The probability that Robin gets the third question right and the first two wrong is (1/4)^3 * (3/4)^2. Since the questions are independent, this probability is the same for any order of questions, so the probability that the first question she gets right is the third question is (1/4)^3 * (3/4)^2.

b) To get exactly 3 questions right, Robin can choose which 3 questions she gets right in 5 to choose 3 = 10 ways, and for each way, the probability that she gets those 3 questions right and the other 2 wrong is (1/4)^3 * (3/4)^2 * 5. To get exactly 4 questions right, Robin can choose which question she gets wrong in 5 ways, and for each way the probability that she gets the other 4 questions right and that one wrong is (1/4)^4 * (3/4) * 5. So the total probability of getting exactly 3 or exactly 4 questions right is 10 * (1/4)^3 * (3/4)^2 * 5 + 5 * (1/4)^4 * (3/4) ≈ 0.322.

c) Robin gets the majority of the questions right if she gets 3 or 4 questions right. We calculated the probability of that in part b), which is ≈ 0.322.

d) To answer this question using normal approximation, we need to find the mean and variance of the number of students who get the majority of the questions right by guessing. Let X be the number of students who get the majority of the questions right, then X follows a binomial distribution with parameters n = 10 and p ≈ 0.322. The mean of X is np ≈ 3.22, and the variance of X is np(1-p) ≈ 2.19. To use normal approximation, we need to assume that X follows a normal distribution with the same mean and variance. The probability that 3 students or more get the majority of the questions right is P(X ≥ 3) = 1 - P(X < 3) ≈ 1 - P((X - 3.22)/sqrt(2.19) < (3 - 3.22)/sqrt(2.19)) ≈ 1 - P(Z < -0.34) ≈ 0.633, where Z is a standard normal random variable. The approximation is quite good since np(1-p) > 10.

e) Now we have n = 100 and p ≈ 0.322, and we want to find the probability that 20 or more students get the majority of the questions right. The mean of X is np ≈ 32.2, and the variance of X is np(1-p) ≈ 21.9. To use normal approximation, we need to assume that X follows a normal distribution with the same mean and variance. The probability that 20 or more students get the majority of the questions right is P(X ≥ 20) = 1 - P(X < 20) ≈ 1 - P((X - 32.2)/sqrt(21.9) < (20 - 32.2)/sqrt(21.9)) ≈ 1 - P(Z < -2.02) ≈ 0.978, where Z is a standard normal random variable. The approximation is quite good since np(1-p) > 10.

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Answer:

D

Step-by-step explanation:

-45 ft   +   (12 ft /min * 5 min )  =15 ft  

Answer:

-6

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

I think I might be wrong

Answer:

perimeter is 44

Step-by-step explanation:

Answer: m=1/6

Step-by-step explanation:

To transform the left side into the right side, we should use the double angle formula for cosine and simplify the left side.

To verify the given identity, we can start by using the double angle formula for cosine, which states that \(cos 2x = cos^2 x - sin^2 x\).

Substituting this expression into the original equation, we get:

\(sin^2 x + (cos^2 x - sin^2 x) = cos^2 x\)

Simplifying the equation further, we have:

\(sin^2 x + cos^2 x - sin^2 x = cos^2 x\)

The \(sin^2 x\) and\(-sin^2 x\) terms cancel each other out, leaving us with:

\(cos^2 x = cos^2 x\)

This shows that the left side is indeed equivalent to the right side, verifying the given identity.

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Answer:

P(x)=x⁴+9x-44

Step-by-step explanation:

Th measure of angle A can be calculated using Sine rule which is Opposite divided by Hypothenuse. The angle A is 30°.

The attached image shows a right-angle triangle.

In a right angle triangle, we can apply the Sine rule to get the angle between 2 sides:

sin θ = opp / hyp

Given that

opp = x/2  

hyp = x,

we substitute these values into the formula:

sin θ = (x/2) / x

sin θ = (1/2)

Now to get the θ, we use inverse sine

θ = sin⁻¹ (1/2)

θ = 30°

Therefore, angle A  is equal to 30°

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The multiplied form of the Algebraic expression is 10x -0.8\(x^{2}\)

An algebraic expression is a mathematical statement that contains a combination of numbers, symbols, variables and mathematical operators.

These expressions may be linear, quadratic or polynomials and the numbers in front of each term is called coefficient while the symbols or letters are called variable

2x( 5 - 0.4x)

we multiply each term in the bracket by 2x

2x  x 5  - 2x x 0.4x = 10x - 0.8\(x^{2}\)

In conclusion, 2x(5 - 0.4x) reduces to 10x - 0.8\(x^{2}\)

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Answer:

Yeah 10

Step-by-step explanation:

40 will give her more

Answer:

C) 15/y

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

There is sufficient evidence to support the alternative hypothesis that there is a linear correlation between duration times and interval after times.

To determine if there is a linear correlation between duration times and interval after times, we can calculate the correlation coefficient and perform a hypothesis test.

We first calculate the correlation coefficient:

r = (n∑xy - (∑x)(∑y)) / sqrt((n∑x^2 - (∑x)^2)(n∑y^2 - (∑y)^2))

where n is the sample size, x and y are the duration times and interval after times respectively, and ∑ represents the sum of the values.

Using the given data, we have:

n = 7

∑x = 1484

∑y = 542

∑xy = 136865

∑x^2 = 377288

∑y^2 = 49966

Substituting these values into the formula, we get:

r = (7(136865) - (1484)(542)) / sqrt((7(377288) - (1484)^2)(7(49966) - (542)^2))

r = 0.934

The correlation coefficient is 0.934, which indicates a strong positive linear correlation between the two variables.

To perform a hypothesis test, we can test whether the correlation coefficient is significantly different from zero. The null hypothesis is that there is no linear correlation between duration times and interval after times (i.e., the correlation coefficient is zero), and the alternative hypothesis is that there is a linear correlation.

We can use a t-test with n-2 degrees of freedom to test this hypothesis. The test statistic is:

t = r * sqrt(n-2) / sqrt(1-r^2)

Substituting in the values we calculated, we get:

t = 0.934 * sqrt(5) / sqrt(1 - 0.934^2)

t = 6.14

Using a t-table with 5 degrees of freedom and a significance level of 0.05 (two-tailed), the critical values are -2.571 and 2.571.

Since our calculated t-value (6.14) is greater than the critical value (2.571), we reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis that there is a linear correlation between duration times and interval after times.

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40 trading cards

baseball cards

10 baseball cards

football cards

4 football cards

basketball cards

40- 10-4 =26

how many more basketball cards than baseball are there ​?

basketball cards - baseball cards = 26-10 = 16

there are 16 cards more basketball cards than baseball cards

Step 1: Write out the formula for finding the area of a rhombus

Step 2: Substitute the given values to find AC

Therefore,

Answer:

t= 44

Step-by-step explanation:

74= 30+t

74-30=t

t =44

A. A graph of the function y = -0.05x + 12 is shown on the coordinate plane below.

B. The domain and range of the part of the function graphed include:

Domain = [-40, 40].

Range = [10, 14].

In this scenario, we would use an online graphing calculator to plot the given linear function y = -0.05x + 12 in slope-intercept form for -40 ≤ x ≤ 40, as shown in the graph attached below.

Part B.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-40, 40] or -40 ≤ x ≤ 40.

Range = [10, 14] or 10 ≤ x ≤ 14.

When x = -40, the y-value (range) can be determined as follows;

y = -0.05x + 12

y = -0.05(-40) + 12

y = 2 + 12

y = 14.

When x = 40, the y-value (range) can be determined as follows;

y = -0.05x + 12

y = -0.05(40) + 12

y = -2 + 12

y = 10.

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Answer:

B represents area of the right triangle

Step-by-step explanation:

Given;

Area of a triangle is A = 0.5bh

where;

b is the base of the triangle

h is the height of the triangle

Given, formula for the volume of a prism is V = Bh

For a right triangle prism, the formula for the volume is, V = Bh

Where;

B is the area of the right triangle

h is the height of the prism

Therefore, B represents area of the right triangle