What is m∠RST?

I need help on this please thank youuu

Answer:

D: {-1,2,9,-4}

R: {6,0,-3}

Step-by-step explanation:

domain are the x-values

range are the y-values

Answer: ratio of 1:   10mins

               ratio of 5:   50mins

Step-by-step explanation:

The ratio of 1:

\(\frac{1}{6}\) x 60 (hours should be converted to minutes therefore it is 60 mins and

            the denominator seen here is taken by adding the two values in the

             given ratio and since we're still finding 1 you should divide 1 by the

          added denominator and the same applies when finding the ratio 5)

Answer= 10mins

The ratio of 5:

\(\frac{5}{6}\) x 60 (refer to the underlined explanation above)

answer= 50mins

so if you want to verify you add the two values you got to see if you got 60 as 60mins in hours was divided in ratio so when you add it will be 60 which means your answer is correct!

Answer: 12:60

Step-by-step explanation: To find the ratio, we must take 1 h and turn it into minutes. So as we know, it's 60 minutes. So next, we shall change the ratio into fraction form (don't worry it's the same basic format)

\(\frac{1}{5} = \frac{?}{60}\)

So with that given information, we know that 60 would be our denominator. So, we need to divide both denominators, and then whatever we get from that, multiply that by the given numerator. So, we would do:

60 / 5

= 12

12 * 1

= 12

Therefore we now know that 1/5 = 12/60 as a ratio. I hope this helped :)

(Attachment included)

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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B answer

Step-by-step explanation:

b is the asnwwr because 6+5=11, 3+5=8, 0+5=5

Answer:

x= 3 or x = -3

Step-by-step explanation:

We can see here that the two values that x can have if 5x² + 41 = 86 is -3 and +3.

To find the values of x that satisfy the equation 5x² + 41 = 86, we can start by isolating the term with the variable on one side of the equation. Here's the step-by-step solution:

Subtract 41 from both sides of the equation:

5x² + 41 - 41 = 86 - 41

5x² = 45

Divide both sides of the equation by 5:

(5x²) / 5 = 45 / 5

x² = 9

Take the square root of both sides of the equation:

√(x²) = √9

x = ±3

Therefore, the equation 5x² + 41 = 86 has two solutions: x = 3 and x = -3.

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Two 6-sided dice are rolled 40 times and the data from each roll is recorded to has 3 even and 3 odd numbers.

Probability of getting even number is

3/6 = 0.5

i.e. 50%

Out of 40 rolls there are 50% chances to get even number. i.e.

50 × 1/100 × 40 = 20

Thus 20 is the answer,

It’s true that the outcome of 20 is the most likely outcome, but is it likely? Actually you’ll only get an outcome of exactly 20 about 12.5% of the time.

57% of the time you’ll get an outcome of 18, 19, 20, 21, or 22.

If you want a range that occurs >95 % of the time, you’ll need to cover 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26.

So, I think it really depends on what exactly you mean by likely.

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Answer: D

Step-by-step explanation:

Since triangle ABC is similar to XYZ, their sides are the same but different by a constant.

As we can see, on figure XYZ, the hypotenuse is 5m, on ABC, the hypotenuse is 25m.

On ABC, the hypotenuse was mulitplied by a constant k, in which the result is 25. Hence, k must equal 5 because 5 × 5 = 25.

On XYZ, 2 m is another side that is given. If we multiply by our constant, 5, we will get 10. Therefore, the answer is D.

In order to answer the above question, we may thus state that the type of statistical inference in this scenario is null hypothesis testing.

A type of statistical hypothesis known as a null hypothesis claims that a particular collection of observations has no significance in statistics. The viability of theories is evaluated using sample data. Occasionally referred to as "zero," and represented by H0. The assumption made by researchers is that there may be a relationship between the factors. The null hypothesis, on the other hand, asserts that such a relationship does not exist. Although it might not seem significant, the null hypothesis is an important part of study.

The type of statistical inference in this scenario is hypothesis testing.

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Answer:

yes, because if you input 5 for x it would be -8

and if u input -9 for y it is right as -8 is closer to 0 than -9

Answer:

3

Step-by-step explanation:

The 3 is in the tens place representing the number 30.

~theLocoCoco

Answer:

DF = 7.5

Step-by-step explanation:

Since the 3 sides are congruent, then

EF = DE , that is

4.5m - 42 = 1.5m - 9 ( subtract 1.5m from both sides )

3m - 42 = - 9 ( add 42 to both sides )

3m = 33 ( divide both sides by 3 )

m = 11

Thus

DE = 1.5m - 9 = 1.5(11) - 9 = 16.5 - 9 = 7.5

Then

DF = 7.5

Answer:

It should be D. because having low friction would help the hockey puck slide across the floor faster

Answer:

the only logical answer is A

Step-by-step explanation:

If it cannot be B or D it has to be A because you want high friction on a ladder leaning agenst a wall so it wont fall

We have to determine whether the given series converges or diverges. The given series is as follows: `(n+4)! / 4!(n!)` Let's use the ratio test to find out if this series converges or diverges.

The Ratio Test: It is one of the tests that can be used to determine whether a series is convergent or divergent. It compares each term in the series to the term before it. We can use the ratio test to determine the convergence or divergence of series that have positive terms only. Here, a series `Σan` is convergent if and only if the limit of the ratio test is less than one, and it is divergent if and only if the limit of the ratio test is greater than one or infinity. The ratio test is inconclusive if the limit is equal to one. The limit of the ratio test is `lim n→∞ |(an+1)/(an)|` Let's apply the Ratio test to the given series.

`lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `lim n→∞ [(n+5)/4] * [1/(n+1)]` `lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `lim n→∞ (n^2 + 9n + 20) / (4n^2 + 20n + 16)`

As we can see, the limit exists and is equal to 1/4. We can say that the given series converges. The series converges. To determine the convergence of the given series, we use the ratio test. The ratio test is a convergence test for infinite series. It works by computing the limit of the ratio of consecutive terms of a series. A series converges if the limit of this ratio is less than one, and it diverges if the limit is greater than one or does not exist. In the given series `(n+4)! / 4!(n!)`, the ratio test can be applied. Using the ratio test, we get: `

lim n→∞ |(an+1)/(an)| = lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `= lim n→∞ [(n+5)/4] * [1/(n+1)]` `= lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `= 1/4`

Since the limit of the ratio test is less than one, the given series converges.

The series converges to some finite value, which means that it has a sum that can be calculated. Therefore, the answer is a).

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Answer:

alright so you got 2 points! now this is the slope formula! y2-y1/x2-x1

okay let's label your points! (x1 0,y1 -3) (x2 2,y2 1)

let's follow the formula this makes it so we can solve! 1--3/2-0

I understand you may get a decimal but don't use 2.5 use a fraction because teachers seem to like fractions and general decimals can be hard to use (experience lol) 2.5 is 5/2 so this means your slope is 5/2

this formula works every single time and if you memorize it you can do any other problems with 2 points! please memorize y2-y1/x2-x1

(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.

a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.

b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.

c) In this case, 30 minutes is a statistic, not a parameter.

A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.

On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.

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The probability that the student who got a "A" on the test is a male is 0.5152.

Let F be the event "the student is female" and A be the event "the student got an 'A' grade". We want to find P(F|A), the probability that the student is female given that the student got an 'A' grade.

Using Bayes' theorem, we have:

We are given the conditional probability formula of Bayes' Theorem, which is:

P(F|A) = P(A|F) * P(F) / P(A)

We are asked to find P(A|F), which is the probability of a female student getting an 'A' grade.

To find P(A|F), we need to know P(A), P(F), and P(A|F).

We are given the probability of a student being female or getting a "C" on the test, which is:

P(Female ∪ C) = P(Female) + P(C) - P(Female ∩ C) = (26/70) + (18/70) - (4/70) = 40/70 = 4/7 = 0.5714

This is the probability of a student being either female or getting a "C" grade.

To find P(Male|A), which is the probability of a male student getting an 'A' grade, we can use the formula:

P(Male|A) = P(Male ∩ A) / P(A)

= (17/70) / (33/70)

= (17/70)*(70/33)

= 17/3

= 0.5152

We know that the total number of students who earned an 'A' grade is 20, and the number of female students who earned an 'A' grade is 15.

Total number of students who earned grade A =20

However, we don't know the values of P(A|F), P(F), and P(A|M), so we cannot calculate P(A) or P(A|F) directly.

Therefore, we cannot determine the probability of a female student getting an 'A' grade using the given information.

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The width of the parking lot is 78 m

We have been given the perimeter of a rectangular parking lot which is equal to 350 m.

We know the perimeter of a rectangular plot is 2 X (width of the plot ) + 2 X (length of the parking lot ).

And the length of the parking lot is given as 97 m.

2 X (width of the plot ) +2 X (length of the parking lot ) =350 m

2 X (width of plot ) + 2 X 97 =350

2 X (width of the plot ) =156 m

width of the plot = 78 m

Hence the width of the plot is 78 meters.

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The width of this rectangular parking lot is equal to 78 meters.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following:

P = 2(L + W)

350 = 2(97 + W)

175 = 97 + W

Width, W = 175 - 97

Width, W = 78 meters.

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Answer:

L = 40       The length is AC

W = 20      The width is AB

Step-by-step explanation:

Givens

P = 120

AB = 1/2 AC

Solution

P = L + L + W + W

W = 1/2 L

P = L + L + 1/2L + 1/2L      Combine like terms

P = 3L

120 = 3L                            Divide by 3

3L/3 = 120/3

L = 40

W = 1/2 L

W = 1/2 * 40

W = 20

Answer:

13.5 sheets of paper have a mass of 300g

Step-by-step explanation:

Since there is a direct correlation between mass and number of sheets, we can find the correlation and then use it as a conversion factor.

We are told that 12 sheets have a mass of 90g.

Make this into a conversion factor:  90g/(12 sheets) = 6.7777 g/sheet

Now use this conversion factor to  answer the question of how many sheets are in 360g.

Let x be the number of sheets required for a mass of 360 g.

 Mass is the product of x times the conversion factor (6.7777 g/sheet):

  x*(6.7777 g/sheet) = 90g

  x =  (90g)/(6.7777 g/sheet)

The units of the right reduce to sheets, since grams cancel and sheets comes to the top.

  X = 13.5 SHEETS

Answer: It will take him 1.3

Step-by-step explanation:

1 2/3 divided by 5 is 0.333

0.333 times 4 is 1.3

It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

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The company estimates its total assets to be worth $24 million, accounts receivable to be worth $3.3 million, ACP to be 25 days, net income to be $3.5 million, and debt-to-equity to be 1.2 times. Consequently, the company's Return on Equity will be 32.08%.

Return on equity is the proportion of a company's net income to its shareholders' equity (ROE). Return on equity is a metric used to assess a company's financial performance and the efficiency of its revenue-generating (ROE). The higher the ROE, the better a company is at converting equity financing into profits. A continuous 20% or higher return on equity (ROE) is considered to be strong.

Debt-to-equity = 1.2, which equals total debt minus total equity (Total assets – Total debt)

⇒ $24 million - total debt = 1.2, which results in Total debt = (1.2 x $24 million) - (1.2 x Total debt)

⇒ Total debt = $28.8 million x 2.2, hence total debt = $28.8 million / 2.2 is $13.091 million.

⇒ Total equity is equal to $24 million less $13.091 million, or $10.909 million.

⇒ ROE = $3.5m. / $10.909m. = 32.08%

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Answer:

A is the answer

Step-by-step explanation:

please vote me

Answer:

Tipo de función: Función Constante o Función Polinómica de Orden Cero

Dominio: \(Dom \{f(x)\} = \mathbb{R}\)

Codominio: \(Ran \{f(x)\} = 4\)

Asíntota: \(y = 4\)

Raíces: No tiene.

Vértices: No tiene.

La tabla de valores y el gráfico se encuentran adjuntos al fondo.

Step-by-step explanation:

Sea \(f(x) = 4\), el cual representa a una Función Constante o Función Polinómica de Orden Cero, cuyos dominio y codominio son \(Dom \{f(x)\} = \mathbb{R}\) y \(Ran \{f(x)\} = 4\). No tiene vértices. Esta función tiene una asíntota horizontal coincidente con la función (\(y = 4\)) y carece de raíces al ser \(f(x) \ne 0\) para todo \(x\in \mathbb{R}\).

Finalmente, agregamos una tabla de valores y la gráfica asociada a la función:

x         -2         -1         0         1          2

y         4          4         4         4         4

the exponential function is n(t) =n° (1+r)∧t, where t is the power refers the time in months after opening and n denotes average customer.

when the rate of increases is occurred very rapidly. In this question, the trendy restaurant has earned reputation.

Given, average number of customers after 11 months of opening = n(11) =310

average number of customers after 15 months of opening= n(15) =456

during this 4 month increases of customer =456 -310 =146

increasing rate of customer per month = 146/4 = 36.5

now increasing rate in percentages = 36.5 %

exponential growth rate, r= 0.365

let, n° is the initial number of customer while opening at t=0 month

now, the exponential function n(t) that model's average number of customers, n after t months of being open will be

  n(t) = n° ( 1+r)∧t

we are given that after 11 months of opening average customer n(11) = 310

now, 310 = n° (1+ 0.365)∧11

n°  = 10

hence, the exponential function = n(t) = 10(1+r)∧t

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Table B likely has a greater output value for x = 10.

We can see that for both tables, as x increases, the corresponding y values also increase.

Therefore, for x = 10, we need to determine the corresponding y values in both tables.

In Table A, we don't have values beyond x = 3. Thus, we can't determine the y value for x = 10 using Table A.

In Table B, the pattern suggests that the y values continue to increase as x increases.

We can estimate that the y value for x = 10 in Table B would be greater than the highest known y value (2.197) at x = 3.

Based on this reasoning, we can conclude that the function represented by Table B likely has a greater output value for x = 10.

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The probability of getting heads is 1/2 which typically implies that the coin is fair. NO, procedure (b) does not give a fair coin flip outcome.

Given that, we want to generate the outcome of the flip of a fair coin, but that all we have at our disposal is a biased coin which lands on heads with some unknown probability p that need not be equal to1/2.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

The following procedure for accomplishing our task are:

1. Flip the coin.

2. Flip the coin again.

From here will know that the coin is first flipped twice

3. If both flips land on heads or both land on tails, it implies that we return to step 1 to start again. this makes the flip to be insignificant since both flips land on heads or both land on tails

But if the outcomes of the two flip are different i.e., they did not land on both heads or both did not land on tails , then we will consider such an outcome.

Let the probability of head = p

so P(head) = p

the probability of tail be = (1 - p)

This kind of probability follows a conditional distribution.

Therefore, the probability of getting heads is 1/2 which typically implies that the coin is fair. NO, procedure (b) does not give a fair coin flip outcome.

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"Your question is incomplete, probably the complete question/missing part is:"

Suppose that we want to generate the outcome of the flip of a fair coin, but that all we have at our disposal is a biased coin which lands on heads with some unknown probability p that need not be equal to1/2. Consider the following procedure for accomplishing our task:

1. Flip the coin.

2. Flip the coin again.

3. If both flips land on heads or both land on tails, return to step 1. 4. Let the result of the last flip be the result of the experiment.

(a) Show that the result is equally likely to be either heads or tails.

(b) Could we use a simpler procedure that continues to flip the coin until the last two flips are different and then lets the result be the outcome of the final flip?

Answer:

Step-by-step explanation:

ER is tangent to circle A and B , CD is tangent to circle B PQ is a arc in circle A

rCRS is an arc in circle B. And lastly Ps is also tangent to both circles.