6. If the sum of the interior angles of a polygon is 900°, then how many sides does the polygon have? (1 point)
7. What is the measure of one angle in a regular 16-gon? (1 point)

The closest option to the reorder point is 71.40 pounds.

To determine the reorder point, we need to find the demand during the lead time and the safety stock.

First, let's calculate the demand during the lead time. The mean daily rate is 15 pounds, and it takes 4 days for the order to arrive. So, the mean demand during the lead time is 15 pounds/day * 4 days = 60 pounds.

Next, let's calculate the safety stock. The pizza shop wants to limit the probability of a stockout to 7 percent. We can find this value using the z-score table.

Looking up the z-score corresponding to a 7 percent probability, we find that it is approximately 1.89.

The standard deviation is given as 6 pounds.

So, the safety stock is calculated as 1.89 * 6 pounds = 11.34 pounds.

Finally, the reorder point is the sum of the mean demand during the lead time and the safety stock.

Reorder point = 60 pounds + 11.34 pounds = 71.34 pounds.

Therefore, the closest option to the reorder point is 71.40 pounds.

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Therefore, the probability that the Islanders will win exactly three out of six games in a series against the Rangers is approximately 0.2677.

To calculate the probability that the Islanders will win exactly three out of six games in a series against the Rangers, we can use the binomial probability formula.

The formula is:

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

Where:

P(X = k) is the probability of exactly k successes (Islanders wins),

n is the number of trials (number of games in the series, which is 6 in this case),

k is the number of successes (number of wins, which is 3 in this case),

p is the probability of success in a single trial (probability of Islanders winning a game, which is 0.24),

(\(^nC_k\)) is the number of combinations of n items taken k at a time.

Using the formula, we can calculate the probability as follows:

\(P(X = 3) = (^6C_3) * 0.24^3 * (1 - 0.24)^{(6 - 3)\)

\(P(X = 3) = (^6C_3) * 0.24^3 * 0.76^3\)

\(P(X = 3) = 20 * 0.24^3 * 0.76^3\)

P(X = 3) ≈ 0.2677

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The probability of winning with 10 tickets in one raffle is 100 times greater than the probability of winning with one ticket in 10 different raffles. This means that buying 10 tickets in one raffle is the best way to maximize your chances of winning something.

Buying ten tickets in one raffle will give you a greater chance of winning the prize than buying one ticket in ten different raffles. In the first scenario, you have a 10% chance of winning the prize (10 tickets out of 100 total tickets). In the second scenario, your chances are only 1% (1 ticket out of 100 tickets in each raffle).

Mathematically, this can be expressed as the probability of winning with 10 tickets in one raffle (P1): P1 = 10/100 = 0.1

The probability of winning with one ticket in 10 different raffles (P2): P2 = (1/100)^10 = (0.01)^10 = 1/10,000 = 0.0001

Therefore, the probability of winning with 10 tickets in one raffle is 100 times greater than the probability of winning with one ticket in 10 different raffles. This means that buying 10 tickets in one raffle is the best way to maximize your chances of winning something.

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Answer:

3

Step-by-step explanation:

Michael must find the smallest number possible that can divide 60 and 45 then take the two quotients after dividing the 2 types of cookies by the smallest number possible.

2 is not possible as 45 is an odd number

3 can divide both 60 and 45

60/3 = 20 oatmeal cookies in each container.

45/3 = 15 chocolate chip cookies in each container.

To find the sum of the squared differences, you first need to calculate the mean of the data set. Then, you need to subtract the mean from each score to get the difference. Finally, you need to square each difference and add them all together to get the sum of the squared differences.

Here are the steps to find the sum of the squared differences:

1. Calculate the mean of the data set by adding up all the scores and dividing by the number of scores.
2. Subtract the mean from each score to get the difference.
3. Square each difference.
4. Add up all the squared differences to get the sum of the squared differences.

For example, if the data set is {1, 2, 3, 4, 5}, the mean is (1+2+3+4+5)/5 = 3. The differences are (-2, -1, 0, 1, 2), and the squared differences are (4, 1, 0, 1, 4). The sum of the squared differences is 4+1+0+1+4 = 10.

So, the sum of the squared differences for this data set is 10.

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Answer:

I think it's A. The perimeter is 10 times the width.

Step-by-step explanation:

Please mark me brainliest if correct

Answer:

1/8 in.

Step-by-step explanation:

The amount of rain in the second half of the month is the difference between the two amounts of rain.

1/2 in. - 3/8 in. = 4/8 in. - 3/8 in. = 1/8 in.

Answer: 1/8 in.

Answer:

The answer is 1/8

Step-by-step explanation:

Can I get brainiest

Based on the given data, there is not significant evidence at the 5% level to prove that Sweatin to the Oldies is better than Tae Bo in terms of weight loss.

To determine if there is a significant difference between the two programs, we can conduct a hypothesis test using the two-proportion z-test. The null hypothesis (H0) would be that there is no difference in the proportion of weight loss between Sweatin to the Oldies and Tae Bo, while the alternative hypothesis (Ha) would be that there is a significant difference.

Using the given data, we can calculate the sample proportions for weight loss in each program:

- Sweatin to the Oldies: 1280/2340 ≈ 0.547

- Tae Bo: 1180/2006 ≈ 0.588

We can then calculate the test statistic and compare it to the critical value at the 5% level of significance. If the test statistic falls in the critical region, we reject the null hypothesis and conclude that there is a significant difference. Otherwise, if the test statistic falls outside the critical region, we fail to reject the null hypothesis.

However, the critical values for the two-proportion z-test depend on the specific test being conducted (one-tailed or two-tailed) and the desired level of significance. Without this information, we cannot provide a conclusive answer.

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Answer: 6

Step-by-step explanation:

For the given statement, we have to correctly rejecting the null hypothesis.

According to the statement

we have to find the outcome when hypothesis test evaluating a treatment that has a very large and robust effect.

For this purpose, we know that the

A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

And according to the given statement it is clear that the by this we have to rejected this hypothesis.

because this treatment and the large effects are not possible for the independent values of the hypothesis.

In other words, we can say that the we have to correctly rejecting the null hypothesis.

So, For the given statement, we have to correctly rejecting the null hypothesis.

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The area of a rectangle is the amount of space it would cover on a 2-Dimensional plane. The required value of the width is 25 feet.

A rectangle is a plane shape with equal opposite sides. Its area can be determined by;

Area of a rectangle = length x width

Considering the given question, let the length of the plot be represented by l and its width as w. Given that the width of the plot should be longer than its length by 5, then we have;

w = l + 5

But,

Area of the plot = length x width

500 = l x (l + 5)

       = \(l^{2}\) + 5l

This implies that,

500 = \(l^{2}\) + 5l

\(l^{2}\) + 5l - 500 = 0

Applying the quadratic formula, we have;

l = (-b  ± \(\sqrt{b^{2} - 4ac}\)) / 2a

a = 1, b = 5, c = -500

= (-5  ±  \(\sqrt{5^{2} - (4*1*-500)}\)/ 2

 = (-5  ± 45) / 2

l =   (40) / 2 OR l =  (-50) / 2

l = 20 OR l = - 25.5

So that,

l = 20

Therefore, the length of the plot is 20 feet.

Thus the width of the plot can be determined as;

w = l + 5

   = 20 + 5

w = 25

The width of the plot is 25 feet.

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Answer:

x = 3

< D = 26

< E = 54

Step-by-step explanation:

I did the math

Check the picture below.

\(\stackrel{\textit{\LARGE Perimeter}}{15~~ + ~~\sqrt{956.25}~~ + ~~\sqrt{956.25}}\implies 15 ~~ + ~~61.8 ~~ \approx ~~ \text{\LARGE 76.8}\)

The range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

To measure the amount of money college students spend on rent per month, the most appropriate measure of spread would be the range. The range is the simplest measure of spread and is calculated by subtracting the lowest value from the highest value in a data set. In this case, the range would be $1,300 - $300 = $1,000.

The median would not be the best choice in this scenario because it only represents the middle value in a data set. It does not take into account extreme values like the $1,300 rent expense.

Standard deviation would not be the most appropriate measure of spread in this case because it calculates the average deviation of each data point from the mean. However, it may not accurately represent the spread when extreme values like the $1,300 rent expense are present.

The interquartile range (IQR) would not be the best choice either because it measures the spread of the middle 50% of the data set. It does not consider extreme values and would not accurately represent the range of rent expenses in this scenario.

In summary, the range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

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Answer:

2+1.12x=10 minus 2 on each side 1.12x = 8 divide 1.12 to each side is 7.14 miles rounded up on the tenth place

The net amount of imports is RM 175 million of GDP of Country A. Option  C is the correct answer.

The total amount of money spent during a specific time period by firms, consumers, and the government may be used to compute GDP.

Calculation:

GDP = personal consumption + gross investment + govt consumption + net exports + imports

Therefore, Import = 175

Here the total amount of imports is RM 175 million. Therefore, Option  C is the correct answer.

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The complete question is, "The information below contains information on Country A.

                                                  RM(in millions)

Gross Domestic Product              1250

Consumer Spending                    500

Investment Spending                   350

Govt Spending                              350

Export                                             225

What is the amount of imports?

A. RM 800 million

B. RM 135 million

C. RM 175 million

D. RM 575 million"

Answer:

26.00

Step-by-step explanation:

Answer: 18.40

Step-by-step explanation:

0.8 x  (x-3)= 18.40

The SSS Similarity Theorem states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are similar. This theorem is also known as the Side-Side-Side Similarity Theorem or the SSS Similarity Postulate.

What is the similarity theorem of triangles?

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle similarity is indicated here by the symbol (~).

SSS or Side-Side-Side Similarity.
If all three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.
Thus, if AB/XY = BC/YZ = AC/XZ then ΔABC ~ΔXYZ.
From this result, we can conclude that-
∠A = ∠X, ∠B = ∠Y and ∠C = ∠Z
Hence, we have described the SSS similarity theorem.

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P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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We will use the leg rule

hypotenuse leg

----------------- = --------------------

leg part

y 9+11

------- = -----

11 y

Using cross products

y^2 = 11(20)

y^2 =220

Taking the square root

y = 2 sqrt(55)

Now we can find z using the Pythagorean theorem

11^2 + z^2 = y^2

121 + z^2 = 220

z^2 =99

z = 3 sqrt(11)

Perpendicular

Find the slope for the points (5, 10) and (1, 6)

The slope is calculated below

For the points (2,-6) and (-1, -3)

Note that:

Since the product of the two slopes is -1, the lines through the pairs of points are perpendicular

subtraction/algebraic subtraction

What you have looks right, the reason for step 7 should just be algebraic subtraction since there is a DG on both sides that can be simplified out of the equation

I’m not sure what exact answer your question will allow, but it’ll be something along the lines of subtraction

The area of the wooden part is 1,856 sq. in.

The diagram attached below shows the following given information of the table:

To find the area of the wooden part, find the area of the outer and inner rectangles in the image. The difference in their area will give us the area of the wooden part.

Let's solve as follows:

\(Area = l \times w\)

\(l = 80 $ in.\\w = 52 $ in.\)

Plug in the values

Area of the outer rectangle = \(80 \times 52 = 4,160 $ in.^2\)

\(Area = l \times w\)

\(l = 64 $ in.\\w = 36 $ in.\)

Plug in the values

Area of the outer rectangle = \(64 \times 36 = 2,304 $ in.^2\)

Area of wooden part = Area of outer rectangle - area of inner rectangle

\(= 4,160 - 2,304\)

\(= 1,856\)

Therefore the area of the wooden part = 1,856 sq. in.

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The equation which represents the equation for the temperature, D , in terms of t is D(t)=5°cos{(π/3)t}+67°.

Given that the high temperature is 72 degrees and low temperature is 62 degrees at 3 A.M.

We know that temperature is the intensity of the heat present around us.

We know that,

Maximum temperature=72 degrees,

Minimum temperature=62 degrees, which occurs at t=3 hours

Now we can write the equation as:

D(t)=A cos(ct)+B

Where A, c, B are constants.

We have a minimum at t=3 a minimum means cos(ct)=-1

then we have that D(3)=A cos(c*3)+B

=A*(-1)+b

=35°

Here we solve that ,

Cos(c*3)=-1

this means that

c*3=-1

c*3=π

c=π/3

We also know that the maximum temperature is 72°, the maximum temperature is when cos(c*t)=1

D(t)=0=A(t)+B=72

With this we can find that values of A and b

-A+B=62

A+B=72

B=67

A=5

Equation will be D(t)=5 cos{(π/3)t}+67°.

Hence the equation for the temperature is D(t)=5 cos{(π/3)t}+67°..

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The maximum value of the function y = 7sinθ + 4cosθ occurs when θ = arctan(-7/4), and the maximum value is \(\sqrt[]{65}\).

To find the maximum value of y = 7sinθ + 4cosθ, we can rewrite the equation using a trigonometric identity:

y = \(\sqrt{7^{2}+4^{2} }\) (sinθ/\(\sqrt{7^{2} +4^{2} }\) + 4/ \(\sqrt{7^{2} +4^{2} }\) cosθ)

Now, let's define a new angle φ such that sinφ = 7/\(\sqrt{65}\) and cosφ = 4/\(\sqrt{65}\). Using these values, we can rewrite the equation as:

y = \(\sqrt{65}\) (sinθ/\(\sqrt{65}\) + cosθ/\(\sqrt{65}\))

Notice that \(\sqrt{65}\) is a constant factor, so the maximum value of y will occur when the terms sinθ/\(\sqrt{65}\) and cosθ/\(\sqrt{65}\) are both equal to 1. This happens when θ = arctan(-7/4), which is the angle whose tangent is \(-\frac{7}{4}\)

Substituting this value back into the equation, we get:

y = \(\sqrt{65}\) (sin(arctan(-7/4))/\(\sqrt{65}\) + cos(arctan(-7/4))/\(\sqrt{65}\))

 = \(\sqrt{65}\) (-(7/4)/\(\sqrt{65}\) + 4/4/\(\sqrt{65}\))

 = \(\sqrt{65}\) (-(7/4) + 4)/\(\sqrt{65}\)

 = \(\sqrt{65}\) (-3/4)

Therefore, the maximum value of y is \(\sqrt{65}\).

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