A rock-climbing wall at a local park has a right triangular section that slants toward the climber, as shown in the picture below. The height of the wall is 5 meters and the slanted section begins 1.2 meters up the wall at an angle of 14 degrees.

In the national park, the probability that a single doe captured (weighed and released) at random in December is undernourished is 25.5%

Data is symmetrically distributed and skew-free in a normal distribution. When the data is shown on a graph, it has the shape of a bell, with the majority of values congregating in the center and diminishing as they move outward.

Due to their structure, normal distributions are sometimes known as bell curves or Gaussian distributions.

Assuming normal distribution we calculate the probability as follows

Definition of variables

mean adult female deer, μ = 67.0 kg

Standard deviation, σ = 7.9 kg

sample, X = 58

Z score, z is given by the formula

= (X - μ) / σ

= (58 - 67) / 7.9

= -1.139 has a p value of 0.2546

P = 25.5%

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Answer:

the answer is 0.375

Step-by-step explanation:

hope this helps

The length of the granite must be less than 120 inches. Then the correct option is D.

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.

A rectangular section of granite is being cut so that the length is 3 times the width.

The perimeter of the section must be less than 320 inches.

The perimeter of the rectangle will be given with inequality will be

P > 2(L + W)

We have

L = 3W

Then the inequality equation will be

320 > 2 (L + L/3)

320 > 2 (4L/3)

320 > 8L/3

    L < 120 inches

Then the length of the granite must be less than 120 inches.

Then the correct option is D.

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Answer:

C. 40+(-58)+160 hole that helps

Answer:

vbnmnbv nbbnmbnmvbr

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the morning he works four hours and 15 minutes and in the afternoon he works four hours and 15 minutes for a total of eight hours and 30 minutes. 30 minutes is 1/2 of an hour so he works for a total of 8 1/2 hours. Multiply this by his hourly rate which is $15 and this gives you $127.50

15 x 8.5 = 127.5

Answer: No it's not

Step-by-step explanation:

To find whether 89987794 is divisible by 9 add all its digits first

So, 8 + 9 + 9 + 8 + 7 + 7 + 9 + 4 = 61

Now, is 61 divisible by nine? It's not, so it's not divisible by 9

Remember this: if the sum of the digits of a number is divisible by 9, then it's divisible by 9

Answer:

56/84

Step-by-step explanation:

Answer:

fraction: 2/3

percentage: 66.6%

Step-by-step explanation:

(y = 2.05x) is the equation that relates the change in price per sticker purchased.

The equation of exchange is an economic identity that shows the relationship between money supply, the velocity of money, the price level, and an index of expenditures. English classical economist John Stuart Mill derived the equation of exchange, based on earlier ideas of David Hume. It says that the total amount of money that changes hands in the economy will always equal the total money value of the goods and services that change hands in the economy.

Given that: For every ten sheets you buy the total cost increases $20.50.

• The number of stickers purchased = 10

• Price change = $20.50

The change in price per sticker purchased can be expressed as:

• Price change / number of stickers

• Change in price per sticker = $20.50 / 10

• Change in price per sticker purchased = 2.05

Therefore, the required equation which related y and x is: y = 2.05x

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:

The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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The best estimate of how much she will spend on movies and eating out is given as follows:

$162.

The best estimate of how much she will spend on movies and eating out is obtained applying the proportions in the context of the problem.

The percentages associated with movies and eating out are given as follows:

The amount that she has left is given as follows:

$300.

Hence the best estimate of how much she will spend on movies and eating out is obtained as follows:

(0.3 + 0.24) x 300 = 0.54 x 300 = $162.

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The equation for the trip from Phoenix to Austin can be expressed as:

y = 872 + x.

What is scatterplot?

A scatterplot is a type of graph used to display the relationship between two variables. The values of one variable are plotted along the horizontal axis, and the values of the other variable are plotted along the vertical axis.

To find where the trips from Phoenix to Denver and Phoenix to Austin intercept, we need to first determine the equations for these two trips. Let's assume that the two trips start from the same point in Phoenix.

Let's use the variable x to represent the distance traveled from the starting point, and y to represent the total distance of the trip. Then, the equation for the trip from Phoenix to Denver can be expressed as:

y = 602 + x

Similarly, the equation for the trip from Phoenix to Austin can be expressed as:

y = 872 + x

To find where these two trips intercept, we need to solve for the values of x and y that satisfy both equations.

Setting the two equations equal to each other, we get:

602 + x = 872 + x

Solving for x, we get:

x = 270

This means that the two trips intercept at a point where the distance traveled from the starting point is 270 miles. To find the total distance at this point, we can substitute x = 270 into either equation:

y = 602 + x = 602 + 270 = 872

So the total distance of the two trips at the point of interception is 872 miles.

To show this on a scatterplot, we can plot the two equations as lines and look for the point where they intersect. The x-axis can represent the distance traveled from the starting point, and the y-axis can represent the total distance of the trip. The point of intersection would represent the point where the two trips intercept.

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The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

Step-by-step explanation:

\(\frac{2}{5} : \frac{1}{15}\\\)

LCM of the denominator = LCM ( 5 , 15 ) = 15

∴ Now we have to multiply LCM by both the fractions , we get ,

\(\frac{2}{5}.15 : \frac{1}{15}.15\\ 6 : 1\)

The probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

To solve this problem, we can use the binomial probability formula, which is:

\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)\)

where:

n is the sample size (number of workers being interviewed)

k is the number of successes we are interested in (in this case, 2 of the workers being union members)

p is the probability of success (in this case, the probability that a worker is a union member)

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (this can be calculated using the formula n! / (k! * (n - k)!))

Plugging in the values, we get:

\(P(X = 2) = (4 choose 2) * (0.96)^2 * (1 - 0.96)^(4 - 2)\)

\(= (6) * (0.96)^2 * (0.04)^2\)

= 0.04403136

Therefore, the probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

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Therefore, if the recipe requires 4 cups of stock for one batch of soup, he will need 8 cups of stock to double the recipe.

Ratio is a mathematical term used to compare two or more quantities of the same kind. It is a way of expressing the relationship between two numbers or values. Ratios are usually expressed in the form of a:b, where a and b are the two quantities being compared.

by the question.

Let's assume that the recipe for one batch of soup requires 4 cups of stock. If Mr. West wants to make:

1 batch of soup: he would need 4 cups of stock.

2 batches of soup: he would need 8 cups of stock (4 cups x 2 batches).

3 batches of soup: he would need 12 cups of stock (4 cups x 3 batches).

Therefore, the ratio of cups of stock to batches of soup would be:

1 batch of soup requires 4 cups of stock.

2 batches of soup require 8 cups of stock, so the ratio would be 8 cups of stock per 2 batches of soup, or 4 cups of stock per batch of soup.

3 batches of soup require 12 cups of stock, so the ratio would be 12 cups of stock per 3 batches of soup, or 4 cups of stock per batch of soup.

To double the recipe, Mr. West would need to use twice the amount of each ingredient, including the stock.

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The result of the respective questions are:

a)

This chi-square test only takes into consideration one variable.

b)

The  type of chi-square test this is, is a Goodness of Fit

To test the hypothesis, we must determine whether the actual data conform to the assumed distribution.

The "Goodness-of-Fit" test is a statistical hypothesis test that determines how well the data that was seen resembles the data that was predicted.

c)

Parameter

n = 4

Therefore

Degrees of freedom

df= n - 1

df= 4 - 1

df= 3

d)

In conclusion

Parameters

\(\alpha = 0.05\)

df = 3

Hence

Critical value = 7.814728

Test statistic = 6.6

Test statistic < Critical value, .

NO, the result of this test is not statistically significant.

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The coefficient of variation for a Poisson distribution with A=5 is equal to 1/A, which is equal to 0.2.

Poisson Distribution is a type of probability distribution used for independent events which occur at a known average rate within a given interval of time or space. It is used to model the number of times an event is likely to occur within a specified period of time or space. It is used in fields such as healthcare, quality control, finance, and engineering.

Coefficient of variation (CV) is a measure of relative variability or dispersion. It is a measure of the relative dispersion of a set of data points around its mean. It is calculated by dividing the standard deviation of the data points by the mean.

The coefficient of variation for a Poisson distribution with A=5 is equal to 1/A, which is equal to 0.2. This means that the relative variability of a Poisson distribution with A=5 is 0.2. This is because the standard deviation of a Poisson distribution is equal to the square root of the mean, and in this case, the mean is 5. Therefore, the standard deviation is the square root of 5, or 2.236. When divided by the mean, the coefficient of variation is 0.2.

In general, the coefficient of variation is used to compare the variability of two different datasets. A low coefficient of variation indicates that the data points are relatively close to the mean and that there is not much variability in the data. A high coefficient of variation indicates that the data points are further away from the mean and that there is a greater amount of variability in the data.

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The probability of having at least 2 red balls in the 3 that I picked will be 1/3.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

I have 3 red balls, 3 blue balls, and 3 yellow balls in a crate. All out of 9 balls.

If the three balls are picked randomly, then the probability of having at least 2 red balls in the 3 that I picked will be given as,

P = 3/9

P = 1/3

The probability of having at least 2 red balls in the 3 that I picked will be 1/3.

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Answer:

5/36 yd³

Step-by-step explanation:

The formula for the area of a rectangular prism is height × length × width

So you would do 1/3×5/6×1/2

5/18*1/2= 5/36

Hope this helps!!!

Answer:

It's 5/36

Step-by-step explanation:

I say this because 6 times 2 times 3 is 36.

You just multiply the bottom or length times width times height.

So it's the first one.

Answer:

Blue square = x²

Orange square = 6x

Yellow square = 4x

White square = 24

Answer:

x=15

Step-by-step explanation:

Answer:

Step 3

Step-by-step explanation:

She made the error step 3 because the third step says that she should find the ratio of the differences of the means in comparison to the mean absolute deviation but instead of using the differences of mean, she just used only the mean.

Answer:

3

Step-by-step explanation:i took test

It is recommended that you visit your courses on D2L frequently, ideally at least once a day, to stay up-to-date with any new announcements or assignments posted by your instructor. This will help you stay on track with your coursework and prevent you from falling behind. Additionally, regular visits to your courses can help you participate in discussions with your peers and ask questions if you are unsure about any of the material. It's important to remember that online learning requires a high level of self-discipline and responsibility, so making a habit of checking in on your courses regularly can contribute to your overall success in the class.

Answer:

y = (x - 3)² + 2

Step-by-step explanation:

Shifting of the graph of y = x² up 2 units implies that;

y - 2 = x²

Now, shifting it right by 3 units implies that;

y - 2 = (x - 3)²

y = (x - 3)² + 2

Based on the two (2) parallel lines m||n, the value of x is equal to 4.

The vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

In Geometry, when two (2) parallel lines are cut by a transversal, the pair of vertically opposite angles that are formed would always be equal to each other. In this context, we have the following;

m∠2 = m∠3

7x - 3 = x + 21

7x - x = 21 + 3

6x = 24

x = 24/6

x = 4.

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Answer:

x = 15

Step-by-step explanation:

30 + 4x = 90   These angles are complementary which means that they add to 90.  Subtract 30 from both sides

30 - 30 + 4x = 90 - 30

4x = 60   Divide both sides by 4

x = 15

Answer:

no, because the spoon has been in your mouth and saliva has been on the spoon, so no you should no.

Answer: It all depends on your preference

Step-by-step explanation:

Depending on your moms and yours preference using the same spoon wouldn't be that bad. Unless you've slobbered all over the spoon, using the same spoon will not effect the soup in any shape or form.

You would need approximately 23.077 pounds of whole apples to make 18 pounds of peeled and cored apples with a 78% yield percentage.

Explanation:

To find out how many pounds of whole apples are needed to make 18 lbs of peeled and cored apples with a yield percentage of 78%, we can use the following formula:

Pounds of whole apples needed = (Pounds of peeled and cored apples needed) / Yield percentage

Plugging in the values we have:

Pounds of whole apples needed = 18 lb / 0.78Pounds of whole apples needed = 23.077 lb (rounded to three decimal places)

Therefore, you would need approximately 23.077 pounds of whole apples to make 18 pounds of peeled and cored apples with a 78% yield percentage.