A right triangle and some of its measurements are shown in this diagram.


Based on the measurements shown in the diagram, what is the value of t?

Answer: 72

Step-by-step explanation:

Cos 18 degrees = 0.951...

Sin -1 (0.951) = 72

So the answer is 72 degrees.

Answers:

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

Explanations:

The power of the test against the specific alternative is given by 1 minus the probability of making a Type II error. Therefore, the power is 0.86= 86%

In statistical hypothesis testing, the power of a test is the probability that it correctly rejects a null hypothesis when a specific alternative hypothesis is true. In this case, we are given that the test has a significance level of α = 0.01, which means that the test rejects the null hypothesis if the probability of obtaining the observed result, or one more extreme, under the null hypothesis is less than 0.01.

However, we also know that when a specific alternative hypothesis is true, the test has a probability of making a Type II error of 0.14. This means that there is a 14% chance that the test fails to reject the null hypothesis, even though the alternative hypothesis is true.

Therefore, the power of the test against this specific alternative hypothesis is given by 1 minus the probability of making a Type II error, which is:

Power = 1 - P(Type II error) = 1 - 0.14 = 0.86

So, the power of the test against the specific alternative hypothesis is 0.86 or 86%. This means that when the alternative hypothesis is true, the test correctly rejects the null hypothesis 86% of the time.

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Answer:

c

Step-by-step explanation:

the maximum value for f(x) is only 8.

Answer:

it's the maximum value is the same for both functions

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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Answer:

Pretty sure the Answer is b. and if not b then c.

Step-by-step explanation:

Use the slope formula y2-y1/x2-x1.

7-3/2-9=4/-7

Answer:

D. m=-4/7

Step-by-step explanation:

To find a slope with 2 points use the formula m=(y2-y1)/(x2-x1)

X is the first number in the parenthesis and Y is the second

A includes X1 and Y1 and B includes X2 and Y2

substitute your numbers into the equation to make

7-3/2-9 then you just subtract to get 4/-7 or -4/7

We want to find which x value, when we substract 7 to it, is less than 3. In order to find it out, we just have to replace x with each option:

A. 9 → x - 7 → 9 - 7 = 2

B. 10 → x - 7 → 10 - 7 = 3

C. 11 → x - 7 → 11 - 7 = 4

D. 12 → x - 7 → 12 - 7 = 5

Then, the only option that is is less than 3 is 2

2 < 3

Answer:

Step-by-step explanation:

Required inequality:

The graph is attached

Some combinations:

Howdy;)

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Answer:

D. The mean will shift to the left.

Step-by-step explanation:

Given that the price range of the car is between $5000 and $45000 ;

Hence, if the demand for cars that cost less than $5000 is in high demand, such that about 200 cars was sold ; This will lead to a shift in the mean price of car, $5000 towards the $5000 value. Since $5000 is to the left, then the mean price will shift to the left of the distribution.

A statement in the form p→q has three related implications that are called converse, inverse, and contrapositive.

A statement in the form p→q has three related implications.

Statement: If p then q (p→q)

Converse: If q then p (q→p)

Inverse: If not p then not q (-p → -q)

Contrapositive: If not q then not p (-q → -p)

For the given implications, its converse, inverse, and contrapositive can be written as.

Given statement:

(a)  If a quadrilateral is a parallelogram, then its opposite sides are congruent then its converse, inverse, and contrapositive are:

Converse: If a quadrilateral has opposite sides that are congruent then it's a parallelogram.

Inverse:  If a quadrilateral is not a parallelogram then its opposite sides are not congruent.

Contrapositive: If a quadrilateral has opposite sides that are not congruent then it's not a parallelogram.

(b) If two lines do not intersect, then they are parallel:

Converse: If the two lines do not intersect in the same plane, then they are parallel.

Contrapositive: If the two lines intersect in the same plane, then they are not parallel.

(c) If the sky does not look blue, then it is not nighttime:

Converse: If it is not nighttime, then the sky looks blue.

Inverse:  If the sky does not look blue then it is nighttime.

Contrapositive:  If it is nighttime then the sky does not look blue.

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f(z)/g(z) → f'(zo)/g'(zo) as z → zo  of derivative to show that f(z) lim.

Let us use definition (3), Sec. 19, to give a direct proof that dw = 2z when w = z².

We know that dw/dz = 2z by the definition of derivative; thus, we can write that dw = 2z dz.

We are given w = z², which means we can write dw/dz = 2z.

The definition of derivative is given as follows:

If f(z) is defined on some open interval containing z₀, then f(z) is differentiable at z₀ if the limit:

lim_(z->z₀)[f(z) - f(z₀)]/[z - z₀]exists.

The derivative of f(z) at z₀ is defined as f'(z₀) = lim_(z->z₀)[f(z) - f(z₀)]/[z - z₀].

Let f(z) = g(z) = 0 at z = zo and f'(zo) and g'(zo) exist, where g'(zo) ≠ 0.

Using definition (1), Sec. 19, of the derivative, we need to show that f(z) lim ?

z~20 g(z) f'(zo) g'(zo).

By definition, we have:

f'(zo) = lim_(z->zo)[f(z) - f(zo)]/[z - zo]and g'(zo) =

lim_(z->zo)[g(z) - g(zo)]/[z - zo].

Since f(zo) = g(zo) = 0, we can write:

f'(zo) = lim_(z->zo)[f(z)]/[z - zo]and g'(zo) = lim_(z->zo)[g(z)]/[z - zo].

Therefore,f(z) = f'(zo)(z - zo) + ε(z)(z - zo) and g(z) = g'(zo)(z - zo) + δ(z)(z - zo),

where lim_(z->zo)ε(z) = 0 and lim_(z->zo)δ(z) = 0.

Thus,f(z)/g(z) = [f'(zo)(z - zo) + ε(z)(z - zo)]/[g'(zo)(z - zo) + δ(z)(z - zo)].

Multiplying and dividing by (z - zo), we get:

f(z)/g(z) = [f'(zo) + ε(z)]/[g'(zo) + δ(z)].

Taking the limit as z → zo on both sides, we get the desired result

:f(z)/g(z) → f'(zo)/g'(zo) as z → zo.

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Answer:

can you show more?

Step-by-step explanation:

The zeros of the function y = (x − 4)(x2 − 12x 36) as calculated from the given data is  4 and 6.

As the quadratic term is a perfect square.

On factorizing the equation we get,

y = (x -4)(x -6) (x -6)

y = (x -4)(x -6)²

x = 4 and 6

The values of x that result in these factors being zero are 4 and 6.

Factorisation is the process of expressing an algebraic equation as a product of its components. These variables, numbers, or algebraic expressions can be used as factors.

Factorization  or factoring in mathematics is the process of representing a number or any mathematical object as a product of numerous factors, usually smaller or simpler things of the same kind.

3 and 5 is a factorization of the integer 15, for example, while (x - 2)(x + 2) is a factorization of the polynomial x2 - 4.

A meaningful factorization for a rational number or rational function, on the other hand, can be derived by putting it in lowest terms and factoring its numerator and denominator separately.

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Answer:

1080cm²

Step-by-step explanation:

surface area=sum of the area of all the shapes

area of triangle=1/2*base*height

1/2*24*10=120*2(because there are two triangles)=240cm²

10*14=140cm²

24*14=336cm²

Area of slanting figure=26*14=364cm²

add all the results

240+140+336+364=1080cm²

Answer:

1080 cm

Step-by-step explanation:

To find the surface area, you must find the area of each shape then add all of them together which will give you the surface area.

First, multiply the big rectangle on the top which is: 14cm x 26cm= 364

Next find the area of the triangles which is: 24cm x 10cm= 240/2= 120

Since there is two triangles, u must multiply 120 by 2 which is 240

the rectangle from behind is 10cm x 14cm= 140cm

and the last rectangle on the bottom is 14cm x 24cm= 336cm

Now you must add all of these together: 364 + 240 + 140 + 336 which is 1080.

Answer:

Step-by-step explanation:

To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).

Let's start by finding f(2):

f(x) = 2x² - 3x

f(2) = 2(2)² - 3(2)

= 2(4) - 6

= 8 - 6

= 2

Now that we have the value of f(2) as 2, we can substitute it into g(x):

g(x) = 5x - 1

g[f(2)] = g(2)

= 5(2) - 1

= 10 - 1

= 9

Therefore, g[f(2)] is equal to 9.

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The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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Answer:

Brand C

Step-by-step explanation:

Brand A: 1.77/6=$0.30

Brand B: 3.75/12=$0.31

Brand C: 5.24/18=$0.29

Brand D: 7.10/24=$0.30

Based on the price per egg of each brand (calculated above), the best price per egg would be brand C.

Answe:

27

Step-by-step explanation:

Let total children =x

when x divide by 6 we got 3

and when divide by 8 we also got 3

since x divided by both 6 and 8 got 3, we can use LCM to find the number to children in the club exclude the 3 player. you will get 24 and by adding 3 the total players that you will get is 27

Answer:

\(-1\frac{7}{9}\)

Step-by-step explanation:

Rewriting our equation with parts separated

\(2+\frac{8}{9} -4+\frac{2}{3}\)

Solving the whole number parts

\(2-4=-2\)

Solving the fraction parts

\(\frac{8}{9} -\frac{2}{3} =?\)

Find the LCD of 8/9 and 2/3 and rewrite to solve with the equivalent fractions.

LCD = 9

\(\frac{8}{9} -\frac{6}{9} =\frac{2}{9}\)

Combining the whole and fraction parts

\(-2+\frac{2}{9} =-1\frac{7}{9}\)

Hence, -1 7/9 is the correct Answer.

[RevyBreeze]

Answer:

Let's assume the length of the rectangular plot is x meters and the width is y meters.From the problem statement, we know that the perimeter of the rectangular plot is 70 meters. This means:2(x + y) = 70

x + y = 35We also know that the area of the rectangular plot is 306 square meters. This means:xy = 306We can now solve for one of the variables in terms of the other. For example, we can solve for y in terms of x:y = 306/xSubstituting this into the first equation, we get:x + 306/x = 35Multiplying both sides by x, we get:x^2 + 306 = 35xBringing everything to one side, we get:x^2 - 35x + 306 = 0We can now use the quadratic formula to solve for x:x = [35 ± sqrt(35^2 - 4(1)(306))] / 2

x = [35 ± sqrt(25)] / 2

x = 17 or 18If x = 17, then y = 306/17 ≈ 18. This would give us a perimeter of 70 meters, but the area would be:xy = 1718 = 306So this is a valid solution.If x = 18, then y = 306/18 = 17. This would also give us a perimeter of 70 meters and the area would be:xy = 1817 = 306So this is also a valid solution.Therefore, the dimensions of the rectangular plot are either 17 meters by 18 meters, or 18 meters by 17 meters.

After 11 years, only 2.25 g of the radioactive substance will remain, assuming that the half-life remains constant over time.

Based on the information given, we can use the concept of half-life to estimate how much of the radioactive substance will be present after 11 years. Half-life is the time it takes for half of the radioactive material to decay.
If 6 g of the substance remains after 4 years, it means that half of the initial amount (12 g) has decayed. Therefore, the half-life of this substance is 4 years.
To calculate how much of the substance will be present after 11 years, we need to determine how many half-lives have passed. Since the half-life of this substance is 4 years, we can divide 11 years by 4 years to find out how many half-lives have passed:
11 years / 4 years per half-life = 2.75 half-lives
This means that after 11 years, the substance will have decayed by 2.75 half-lives. To calculate how much of the substance will remain, we can use the following formula:
Amount remaining = Initial amount x \((1/2)^{(number of half-lives)}\)
Plugging in the values, we get:
Amount remaining = 12 g x \((1/2)^{(2.75)}\)
Solving this equation gives us an answer of approximately 2.25 g of the substance remaining after 11 years.
Therefore, after 11 years, only 2.25 g of the radioactive substance will remain, assuming that the half-life remains constant over time.

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Answer:

ur doing exams

Step-by-step explanation:

hahhaha ur doing exams

A 95% confidence interval is wider than a 90% confidence interval and so provides a better estimate of the population mean.

A confidence interval represents the range of values within which the population mean is estimated to lie with a certain degree of confidence. The wider the interval, the more certain we can be that the population mean lies within it. In other words, a 95% confidence interval provides a better estimate of the population mean than a 90% interval because it is wider and therefore more likely to contain the true population mean.

This increased accuracy is particularly important for the city in their budget planning as it allows them to make more informed decisions based on a more reliable estimate of their expected daily income from parking fees.

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Answer:

Step-by-step explanation:

Sorry if this is different, but based on what I read, here is the answer.

100 x 0.85 = 85

therefor it is 85%, which is significantly more than 80%

The probability that x is between 420 and 460 is 0.25778

The sum of independent normally distributed random variables is normally distributed with mean equal to the sum of the individual means and variance equal to the sum of the individual variances.

so, the mean would be,

μ = 100 + 150 + 200

μ = 450

and standard deviation would be,

σ = 15+ 20 + 25

σ = 60

We need to find the probability that x is between 420 and 460.

P(420 < x < 460)

= P( 420 -  μ < x -  μ < 460 -  μ)

= P((420 -  μ)/σ < (x - μ)/σ < (460 -  μ)/σ)

= P((420 -  450)/60 < Z < (460 -  450)/60)

= P (-1/2 < Z < 1/6)

= P(-0.5<x<0.167)

= 0.25778

Therefore, the probability is P(420 < x < 460) = 0.25778

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Answer:

85,700...8,570...857...85.7...8.57...0.857

Answer:

46 seconds if I am correct.

Step-by-step explanation:

Yes, two samples can have the same range but different means. The range of a dataset is a measure of the spread or dispersion and is determined by the difference between the maximum and minimum values. The mean, on the other hand, represents the average value of the dataset.

To illustrate this concept, let's consider two different samples:

Sample 1: 1, 5, 6, 9, 10

Sample 2: 2, 4, 7, 8, 10

Both samples have a range of 9 (10 - 1).

However, the means of the samples are different. The mean of Sample 1 is

(1 + 5 + 6 + 9 + 10) / 5 = 6.2,

while the mean of Sample 2 is

(2 + 4 + 7 + 8 + 10) / 5 = 6.2.

Despite having the same range, the means differ between the two samples.

The range only considers the extreme values of the dataset, whereas the mean takes into account all values and provides an average measure. It is possible for the individual values within the samples to be distributed differently, resulting in different means, even if the range remains the same.

Therefore, the range and the mean are distinct measures that capture different aspects of the dataset. While it is possible for two samples to have the same range, they can still have different means based on the specific values and their distribution within each sample.

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Answer:

10 nickels

9 dimes

5 quarters

Step-by-step explanation:

Answer:

10 nickels, 9 dimes, 15 pennies, 5 quarters

Step-by-step explanation:

I'm a little confused by the question, but, I'll assume that each one is separated by a space.

4 quarters + 5 dims = 1.50. So, there would be 10 nickels.

10 pennies + 3 quarters + 5 nickels = 10+75+25=110. So, 9 dimes

2 quarters + 12 dimes + 3 nickels= 50 + 120 + 15 = 15. So, 15 pennies

4 dimes + 6 nickels + 5 pennies = 40+30+5=75. So, 5 quarters