The scale drawing of a rectangular playground is shown.
27. 24 cm Playground 20 cm
The actual length of the playground is 36 feet. Using the scale drawing of the rectangle, what is the actual width of the playground?

A. 19 feet
B. 30 feet
C. 32 feet
D. 40 feet

The three computations covered by the reliability factor table are sample size, index of reliability, and index of precision. Sample size deals with the size of the sample being used in order to achieve a desirable level of reliability.

Index of reliability is used to measure the consistency of results achieved over multiple trials. It does this by calculating the total number of items that contribute significantly to the final result. Finally, the index of precision measures the effect size of the sample, which is determined by comparing the results from the sample with the expected results.

The sample size computation gives the researcher an idea of the number of items that should be included in a sample in order to get the most reliable results. This is done by taking into account a number of factors including the variability of the population, the type of measurements used, and the desired level of accuracy.

The index of reliability is commonly calculated by finding the ratio of the number of items contributing significantly to the total result to the total number of items in the sample. This ratio is then multiplied by 100 in order to get a final score.

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Answer: To model the problem, we can use the equation:

p = 8 * 4

This equation represents the total number of bottles of paint, p, as the product of the number of caddies, which is 8, and the number of bottles of paint per caddy, which is 4.

Answer:

1184 cm

Step-by-step explanation:

Answer:

it is 1 cm because semi means half

The predicted gain (or loss) from a single trial is 53 cents per game on average.

A roulette wheel has the number 1 through 36, as well as 0 and 00. If you wager $1 that an odd number would show up, you will win or lose $1 depending on whether or not that occurrence occurs. If random variable X represents your net benefit, X=1 with probability 18/38 and X=-1 with probability 20/38.

E(X) = 1(18/38) – 1 (20/38) = -$.053

On average, the casino wins  5 cents for each game.

If the stakes are raised, the casino makes even more money:

E(X) = 10(18/38) – 10 (20/38) = -$.53

If the cost is $10 for each game, the casino wins an averaged of 53 cents per game. If 10,000 games are played in a single night, that's a cool $5300.

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Answer:

x+y= idk

Step-by-step explanation:

sorry i need the points

Answer:

15

Step-by-step explanation:

so you know that the hypotenuse for the triangle with "x"'s is 5 square root two, and because we know that the triangle is an isoceles triangle we know the other two side are equal and as a result x=5. Now for the next triangle it is 5 square root 2 on both sides and that is also an isoceles triangle and y is the hypotenuse so it 5 square root 2 times square root 2 which just becomes 2 so then it is 5 times 2 which is 10. So Y=10 and X=5 so X+Y=15.

Answer:

550w>4500+200w

Step-by-step explanation:

Expenses: $4500 + $200 per week

Income: $550 per week

We want income to be greater than expenses

We will solve a follows:

***Explanation of the procedure using change of base for a logarithm***

So:

Answer:

The difference is that the first equation, -2x≥10 -2x can be greater than or equal to 10 but the second equestion is only greater than ten.

Step-by-step explanation:

Answer:

Honestly I can only think about Black Cat too.

Step-by-step explanation:

I know its not because I agree she is only in the comics, but I just don't have enough information. Like who is the main charactor.

To solve the above question

We will follow the steps below:

The total people interview is 1200

23 % of the people interviewed said that a fish was their favorite pet

So we will simply find 23 % of 1200

= 27600/100

= 276

Therefore 276 people interviewed said that a fish was their favorite pet

Hannah's debt-to-equity ratio when her liabilities was $30,000 (excluding her mortgage of $100,000 ) and her net worth is $45,000 is 0.75.

Debt-to-equity ratio is a financial ratio that measures the proportion of total liabilities to shareholders' equity. To calculate the debt-to-equity ratio for Hannah, we need to first calculate her total liabilities and shareholders' equity.

We are given that Hannah has liabilities of $30,000 excluding her mortgage of $100,000. Therefore, her total liabilities are $30,000 + $100,000 = $130,000.

We are also given that her net worth is $45,000. The net worth is calculated by subtracting the total liabilities from the total assets. Therefore, the shareholders' equity is $45,000 + $130,000 = $175,000.

Now we can calculate the debt-to-equity ratio by dividing the total liabilities by the shareholders' equity.

Debt-to-equity ratio = Total liabilities / Shareholders' equity = $130,000 / $175,000 = 0.74 (rounded to two decimal places)

Therefore, Hannah's debt-to-equity ratio is 0.74, which is closest to option 0.75.

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For starters,

\(\cos(6t+\pi) = \cos(6t) \cos(\pi) - \sin(6t) \sin(\pi) = -\cos(6t)\)

Now by the fundamental theorem of calculus, integrating both sides gives

\(\displaystyle \frac{ds}{dt} = s'(0) + \int_0^t 36 \cos(6u) \, du = 100 + 6 \sin(6t)\)

Integrating again, we get

\(\displaystyle s(t) = s(0) + \int_0^t (100 + 6\sin(6u)) \, du = \boxed{100t - \cos(6t) + 1}\)

Alternatively, you can work with antiderivatives, then find the particular constants of integration later using the initial values.

\(\displaystyle \int \frac{d^2s}{dt^2} \, dt = \int 36\cos(6t) \, dt \implies \frac{ds}{dt} = 6\sin(6t) + C_1\)

\(\displaystyle \int \frac{ds}{dt} \, dt = \int (6\sin(6t) + C_1) \, dt \implies s(t) = -\cos(6t) + C_1t + C_2\)

Now,

\(s(0) = 0 \implies 0 = -1 + C_2 \implies C_2 = 1\)

and

\(s'(0) = 100 \implies 100 = 0 + C_1 \implies C_1 = 100\)

Then the particular solution to the IVP is

\(s(t) = -\cos(6t) + 100t + 1\)

just as before.

Answer:

(n - 3/5)²

Step-by-step explanation:

(n - 3/5)²

Answer:

Step-by-step explanation:

Since all points are on same line, AB and BC have same slope.

Use slope formula and compare:

Compare and solve for p:

Answer:

yuktfhkfghmfgh,

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

This is basically saying 2 ÷ 2/6. Solve to get 6.

Answer:

$0.27 for 1 ounce

Step-by-step explanation:

Hope this helps!!!

Answer:

The Answer is 4

Step-by-step explanation:

(4x+3) + (2x-5)=?

(4x+3) + -3x

(7x+-3x)=?

7+-3=4

I hope this helps

Given that the series starts as an arithmetic series and becomes a geometric series starting with 10.

We are to prove by strong induction that any positive integer can be written as a sum of distinct members of this series.

Steps to prove by strong induction that any positive integer can be written as a sum of distinct members of this series:1. Base cases: Let's check if the first three base cases are true for the series. 1=1, 2=2, and 3=1+2.2.

Inductive Hypothesis: Assume that for any positive integer less than or equal to n, the statement is true.

i.e. any positive integer can be written as a sum of distinct members of this series. 3. Inductive Step: Let's consider the case for n+1. Since our base case is true for all positive integers less than or equal to 3, we can assume n is greater than or equal to 4.

Using the induction hypothesis, the statement is true for all integers less than or equal to n.

We can write n as the sum of distinct members of this series. The first term in the geometric part of the series is 10=2*5. So we can choose 5 and use the induction hypothesis to write (n-5) as a sum of distinct members of this series.

If (n-5) includes the number 5 or any of the numbers greater than or equal to 10, we can remove the 5 or any of the numbers greater than or equal to 10 and replace it with 10 to get a new sum that is equal to (n+1). 4. Conclusion: The statement is true for all positive integers.

Therefore, by strong induction, any positive integer can be written as a sum of distinct members of this series.

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The top line tells you this two figure is similar.

What does this mean? Similar figures have the exact same corresponding angles and proportionate sides.

You can find their side ratio with 38 and 15.2.

38 ÷ 15.2 = 2.5

To find x, use 55 ÷ 2.5 and you get 22 as your answer.

Answer:

Infinitely many solutions

Step-by-step explanation:

Answer:

infinitely many solutions

Step-by-step explanation:

cause khan academy said so

The shape formed, when a prism with a heart-shaped base is sliced parallel to the base, will be congruent to its base. Hence, it will also be heart-shaped.

A prism is a polyhedron made up of n parallelogram faces that connect the n-sided polygon base, the second base, which is a translated duplicate of the first base, and the n faces. The bases are translated into all cross-sections that are parallel to them.

In the question, we are informed that a prism with a heart-shaped base is sliced parallel to the base.

We are asked what shape is formed.

From the above discussion, we know that the bases are translated into all cross-sections that are parallel to them, that is, all cross-sections parallel to the base, will be congruent to the base.

Thus, the shape formed, when a prism with a heart-shaped base is sliced parallel to the base, will be congruent to its base. Hence, it will also be heart-shaped.

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Answer:

Step-by-step explanation:

Heart Shaped

Answer:

i think a

Step-by-step explanation:

Answer: 160

Step-by-step explanation:

12+37+78

Angle 1 and Angle 3

This is because the two angels are congruent due to the consecutive angles theorem,

ANOVA is a valuable tool for comparing means across multiple groups and determining if there are significant differences among them.

ANOVA (Analysis of Variance) is a statistical procedure used to compare the means of two or more groups to determine if there are statistically significant differences among them. It helps to determine whether the observed differences in group means are due to actual group differences or simply due to random variation.

The ANOVA procedure compares the variation within each group (within-group variability) to the variation between the groups (between-group variability). If the between-group variability is significantly larger than the within-group variability, it suggests that there are true differences in the means of the groups.

By performing hypothesis testing, ANOVA calculates an F-statistic and compares it to a critical value from the F-distribution. If the calculated F-statistic exceeds the critical value, it indicates that there are significant differences in means among the groups, and we reject the null hypothesis that all group means are equal.

ANOVA does not identify which specific group means are different from each other; it only tells us if there is a statistically significant difference among the means. To determine which groups are different, posthoc tests or pairwise comparisons can be conducted.

Overall, ANOVA is a valuable tool for comparing means across multiple groups and determining if there are significant differences among them.

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Answer:

Step-by-step explanation:

Given,

A ( - 1 , - 3 )⇒( x₁ , y₁ )

B ( 11 , 8 )⇒( x₂ , y₂ )

Using distance formula to find the length of AB

\( \sf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }\)

plug the values

⇒\( \sf{ \sqrt{ {(11 - ( - 1))}^{2} + {( 8 - ( - 3))}^{2} } }\)

We know that \( \sf{( - ) \times ( - ) = ( + )}\)

⇒\( \sf{ \sqrt{ {(11 + 1)}^{2} + {(8 + 3)}^{2} } }\)

Add the numbers

⇒\( \sf{ \sqrt{ {12}^{2} + {11}^{2} } }\)

Evaluate the power

⇒\( \sf{ \sqrt{144 + 121} }\)

Add the numbers and calculate

⇒\( \sf{\sqrt{265} }\)

⇒\( \sf{16.27}\) units

Hope I helped!

Best regards!!

The largest possible whole-number length for the third side is 18, which satisfies all three inequalities.

The triangle inequality theorem explains the relationship between the three sides of a triangle. This theorem states that for any triangle, the sum of the lengths of the first two sides is always larger than the length of the third side.

Let x be the length of the third side. By the triangle inequality, we have:

3 + 16 > x and 16 + x > 3 and 3 + x > 16

Simplifying, we get:

19 > x and x > 13 and x < 19

The largest possible whole-number length for the third side is 18, which satisfies all three inequalities.

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