Max's niece pushed a playground merry-go-round so that it travels 4. 5 feet along the


curve. The radius of the merry-go-round is 5 feet. Find, to the nearest degree, the


central angle.

The answer is 20 meters.

Answer:

a = 60

Step-by-step explanation:

a/5 - 8 = 4

a/5 = 12

a = 60

Answer:

a = 60

Step-by-step explanation:

a/5 - 8 = 4

a/5 = 4 + 8

a/5 = 12

a = 5*12

a = 60

Check:

60/5 - 8 = 4

12 - 8 = 4

Answer:

AB and AC

Step-by-step explanation:

I think I'm not 100 but....

The smallest number of eggs that could have been in the box is 1134

The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:

Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:

n ≡ 1 (mod 2)

n ≡ 1 (mod 3)

n ≡ 1 (mod 4)

n ≡ 1 (mod 5)

n ≡ 1 (mod 6)

n ≡ 0 (mod 7)

For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.

Plugging these values into the formula and simplifying modulo 5040, we get:

n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040

n = (−8946) mod 5040

n = (−3906) mod 5040

n = 1134 mod 5040

Therefore, the smallest number of eggs that could have been in the box is 1134

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Answers:

(b) Negative correlation.

(c) £3500

The probability of getting a spade, P(Spade), is 13/52 or 0.2500.

The probability of getting a club, P(Club) = 13/52 or 0.2500.

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

For instance, if you flip a coin 100 times, you have a 50% chance of getting heads, thus you should anticipate 50 heads. But when we actually test it, we may get 48 heads, 55 heads, or anything else at all, though it will typically be a figure close to 50.

We have a total of 52 cards in the deck.

So, the total number of outcomes = 52

Total number of spades cards = 13

Total number of clubs = 13

So, the sample space would be 13

The probability of getting a spade P(Spade) =13/52 = 0.2500

Similarly, The probability of getting a club P(Club) =13/52 = 0.2500

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Answer:

Step-by-step explanation:

1. 56 + 81 = 137

2. The exterior angle theorem means that the 2 angles within a triangle that is on the opposite side of the angle outside the triangle could be added to find the angle that is outside of the triangle.

3. 56 and 81 are on the opposite side of the "x" outside the triangle which means that they could be added together which equals 137 degrees.

Hope this helps!

Answer:

Step-by-step explanation:

The ordered pair that represents how much she spends on a 5-day week is (20,25)

The rates are given as:

\(Access\ Roads = \$4\)

\(Parking\ Lot= \$5\)

From the question, x represents the access to roads, and y represents the number of days she parked her car.

So, her daily expense is:

\(Daily = Access\ Roads \times x + Parking\ Lot \times y\)

This gives

\(Daily = 4\times x + 5\times y\)

\(Daily = 4x + 5y\)

For a 5-day work week, her daily expense is:

\(Daily = 4 \times 5 + 5 \times 5\)

\(Daily = 20 + 25\)

Express as ordered pair

\(Daily = (20 , 25)\)

Hence, the ordered pair that represents how much she spends is (20,25)

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Answer:

180 degrees

Step-by-step explanation:

What we simply want to do here is to find the sum of all the angles marked by Eric as he walks around the triangular path.

From the question, we are told that he walks around and made a complete circuit, marking a specific angle at each corner. So what this translates to is that at each corner, we have an angle, with the three angles marked forming a triangle.

And from preliminary trigonometry, we know that the sum of angles in a triangle is 180. So by adding each of the angles in the triangular part together, we have a total of 180 degrees

Answer:

180

Step-by-step explanation:

Answer:

-3x+7=-17  x=8

Step-by-step explanation:

-3*8+7=-17

well, there are 6 equilateral triangles, each one with sides of measure of 9 cm.

\(\textit{area of an equilateral triangle}\\\\ A=\cfrac{s^2\sqrt{3}}{4} ~~ \begin{cases} s=\stackrel{length~of}{a~side}\\[-0.5em] \hrulefill\\ s=9 \end{cases}\implies A=\cfrac{9^2\sqrt{3}}{4} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{area for all six triangles} }{6\left( \cfrac{9^2\sqrt{3}}{4} \right)}\implies \cfrac{243\sqrt{3}}{2}\)

Answer:

C bˆ is unbiased.

Step-by-step explanation:

In statistics, the sampling distribution showcases the distribution of obtained values by the statistics in all possible sample sizes of the same population. A statistic that estimates a population parameter is termed to be an unbiased estimator if the mean of such distribution appears to be equal to the true value of the estimated parameter.

Thus, from the aforementioned, the property exhibited by b- is unbiased.

d is biased

Step-by-step explanation:

The expected value of d is not D

The property where the expected value of d is D is called unbaisedness, hence d is biased

First, we have to find the percent that went to social issue on saturday

So, with this we can calculate the Sunday amount

399 people are expected to go to Social Issues

The probability that one die is a 3 is  0.167.

The concept of the conditional probability formula is one of the quintessential concepts in probability theory. The conditional probability formula gives the measure of the probability of an event, say B given that another event, say A has occurred.  

The Bayes' theorem is used to determine the conditional probability of event A, given that event B has occurred, by knowing the conditional probability of event B, given that event A has occurred, also the individual probabilities of events A and B.

Note: In case P(B)=0, the conditional probability of P(A | B) is undefined.  (the event B did not occur).

Number of ways to roll out two dice =  6 x 6 = 36

Let A be the event in which the sum of the two dice is 7.

∴ P(A) = 6/36

Let B be the event in which one die is 3.

∴ P(B) = 10/36

Let P(B∩A) be the event in which the sum of the dice is 7 and one die is 3.

P(B∩A) = 1/36

Applying the formula of conditional probability,

P (B|A) = P (A ∩ B)⁄P (A)

= 1/36 * 6/36 = 1/6 = 0.167

Thus, the probability that one die is a 3 is  0.167.

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The probability that a randomly selected bank balance will be less than $1,000 is 0.2119, or approximately 21.2%.

To solve this problem, we need to use the normal distribution formula:

z = (x - μ) / σ

where:

x = the value we are interested in (in this case, $1,000)

μ = the mean (average) balance, which is $1,200

σ = the standard deviation, which is $250

z = the z-score, which tells us how many standard deviations the value is from the mean

First, we need to calculate the z-score:

z = (1,000 - 1,200) / 250

z = -0.8

Next, we need to find the probability of a z-score of -0.8 using a standard normal distribution table or calculator. The table or calculator tells us that the probability of a z-score of -0.8 is 0.2119.

Therefore, the probability that a randomly selected bank balance will be less than $1,000 is 0.2119, or approximately 21.2%.

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In the function call, the argument tax_percentage is assigned the value of 0.07.

In the function call split_check(60.52, 5, .07, tip_percentage=0.18), the value passed as the tax_percentage argument is 0.07.

The function split_check is being called with the following arguments:

60.52 as the amount of the check

5 as the number of people to split the check among

0.07 as the tax percentage

0.18 as the tip percentage (provided as a keyword argument tip_percentage=0.18)

Therefore, the value 0.07 is passed as the tax_percentage argument in the function call.

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Answer:

yes you plug the numbers in

Answer:

V≈6795.2in³

Step-by-step explanation:

I think

Answer:

6795.2

Step-by-step explanation:

i got it right

The correct answer is: 3 premises and 1 conclusion.

A syllogism is a logical argument that consists of three parts: two premises and one conclusion. The premises are statements that provide evidence or reasons, while the conclusion is the logical outcome or deduction based on those premises. In a hypothetical syllogism, the premises and conclusion are based on hypothetical or conditional statements. By analyzing the premises and applying logical reasoning, we can determine the validity or soundness of the argument. It is important to note that the number of conclusions in a syllogism is always one, as it represents the final logical deduction drawn from the given premises.

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Answer:

a = -0.5

b = −1.73

c = −0.70

d = \(-\frac{\sqrt{2} }{2}\) ≈ -0.70710678

Step-by-step explanation:

EXPLAIN Q(a):

sin(−30)

Use the property sin(−x)=−sin(x).

−sin(30)

Get the value of sin(30) from trigonometric values table.

-0.5

Answer: 14

Step-by-step explanation: I solved the equation

Answer:

14 dollars

Step-by-step explanation:

If the end plan changed the length of each side by 9 feet , then the scale factor comparing your original garden to your final result is  0.70 .

in the question ,

it is given that

the length of square garden in original plan = 13 feet .

and

in the end plan the length of the square garden is = 9 feet

So , the scale factor can be calculated using the formula

scale factor = (length of side in end plan) / (length of side in original plan)

On substituting , the values ,

we get ,

scale factor = 9/13

= 0.6923

rounding to the nearest hundredth

we get ,

≈ 0.70

Therefore , If the end plan changed the length of each side by 9 feet , then the scale factor comparing your original garden to your final result is  0.70 .

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Using the Rule of 110, Leon should allocate a portion of his $19,500 retirement contribution to stocks based on his age.

The Rule of 110 is a general guideline used to determine the percentage of an individual's investment portfolio that should be allocated to stocks based on their age. According to this rule, the percentage of stocks in the portfolio should be approximately equal to 110 minus the person's age.

In this case, Leon is 55 years old. Therefore, he should allocate approximately 55% (110 - 55) of his $19,500 contribution to stocks.

To calculate the amount Leon should allocate to stocks, we can multiply the contribution amount by the stock allocation percentage:

Stocks allocation = $19,500 x 0.55 = $10,725

Based on the Rule of 110, Leon should allocate approximately $10,725 to stocks for his retirement account this year.

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Answer:

(2, -3)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Where the 2 lines intersect is the solution to the system of equations.

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Answer:

-1/6 x^8 y^7

Step-by-step explanation:

okay so first you make it so that the negative sign of the first part is on the outside because a negative base raised to an odd power equals a negative. next, you distribute the little 3 exponent outside of it, making it -8/27 x^6 y^3 for the left. next, distribute the exponent 2 outside of the parenthesis of the right part, making the whole thing  -8/ 27 x^6 y^3  x 9/16 x^2 y^4. reduce the numerator 8 and denominator 16, making it -1/27 x^6 y^3  x 9/2 x^2 y^4, and afterward, reduce denominator 27 and numerator 9, making it -1/3 x^6 y^3  x 1/2 x^2 y^4. (to reduce, you just divide but GCF). then just calculate the product. -1/3 x 1/2=-1/6, x ^6 x x^2 is just x^6+2, which is x^8. finally, y^3 x y^4 is just y^3+4, which is y^7. therefore, the answer is -1/6 x^8 y^7

Answer:

i got -3y^5x^4/8

Step-by-step explanation:

that would take forever to get sorry

Answer:

Step-by-step explanation:

5x-4<4(1+x)

5x-4<4+4x

5x-4x<4+4

x<8

Answer:

true

Step-by-step explanation:

if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:

\(sec\left(\frac{\pi }{2}\:-x\right)\)    \(=\frac{1}{\sin \left(x\right)}\)

\(\frac{1}{\sin \left(x\right)}\)  \(=\csc \left(x\right)\)

so, yes,  \(sec\left(\frac{\pi }{2}\:-x\right)\)  \(=\csc \left(x\right)\)

hope this helps!!