Consider two horses on a merry-go-round, one near the outside and one near the center. Suppose it takes 30 seconds for the outside horse to travel around once. The outside horse is 4 meters from the center. 21) Which horse has greater linear speed

Answer:

Correct Statement : The y- intercept of Function A is greater than the y- intercept of Function B

Answer:

12

Step-by-step explanation:

12

Answer:

A negative exponent involves taking the inverse of the number, then multiplying it by itself once it's in the denominator of the fraction.

Answer:

x = 13.773

Step-by-step explanation:

cos(∠ABC) = \(\frac{BC}{AB}\)

cos(37°) = \(\frac{11}{x}\)

x = 13.773

When rising productivity increases potential output in each period by 4%, the kind of monetary policy that would be needed to maintain a zero rate of inflation at full employment is that it should increase money supply by 4% per period. (Option C)

Potential output is defined as the maximum amount or output the economy can produce on a constant basis. It is an important concept in both macroeconomics and monetary policy. When the economy approaches production at nearly full capacity, the increased demand results in pressure on input cost including wages. As productivity increases the potential output by 4% each period, the type of monetary policy that maintains a zero rate of inflation at full employment is to increase the money supply by 4% per period.

Note: The question is incomplete as it is missing options. The options are A. It should keep money supply constant. B. It should increase money supply by 4% in the first period and thereafter, hold money supply constant. C. It should increase money supply by 4% per period. D. t should decrease money supply by 4% each period.

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Therefore, the probability that the random variable X falls between 37 and 85 is approximately 0.8916 or 89.16%.

To compute the probability P(37 < X < 85) for a normally distributed random variable X with a mean μ = 70 and standard deviation σ = 12, we need to standardize the values and use the standard normal distribution.

First, we calculate the z-scores for the given values:

z1 = (37 - μ) / σ = (37 - 70) / 12 ≈ -2.75

z2 = (85 - μ) / σ = (85 - 70) / 12 ≈ 1.25

Next, we use a standard normal distribution table or a calculator to find the probabilities associated with the z-scores.

Using a standard normal distribution table, we find:

P(Z < -2.75) ≈ 0.0028 (probability corresponding to z1)

P(Z < 1.25) ≈ 0.8944 (probability corresponding to z2)

To find the probability of the interval (37 < X < 85), we subtract the probability associated with the lower value from the probability associated with the upper value:

P(37 < X < 85) = P(-2.75 < Z < 1.25) = P(Z < 1.25) - P(Z < -2.75) ≈ 0.8944 - 0.0028 ≈ 0.8916

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Answer: Mean  is the value obtained by dividing the sum of several quantities by their number; an average. Denoting the middle term of a series arranged in order of magnitude. The value which occurs most frequently in a set of data is known as the mode of the set of data.

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

First, you should arrange the data in ascending to descending to find the median.

12, 14, 15, 16, 17, 19, 21, 26, 26, 27, 28

Now let us use the given formula to find the median.

\(\sf \dfrac{n+1}{2} =--^t^h data\)

Here,

n → the number of elements

Let us find it now.

\(\sf Median= \dfrac{n+1}{2}\\\\\sf Median=\dfrac{11+1}{2} =6^t^h data\\\\Median=19\)

By Using the table to work out the values of a , b , c , and d. X y = 2 x + 1 − 3 a − 2 − 3 − 1 b 0 1 1 c 2 d a = b = c = d =

Therefore, The solutions are : a = -3, b = 0, c = 6, d = 9

Equation:

In mathematics, an equation is an expression that indicates equality of two expressions by connecting them with the equal sign = . The word "equation" and related words in other languages ​​can have slightly different meanings. For example, in French an equation is defined as containing one or more variables, whereas in English a well-formed formula consisting of two expressions connected by an equal sign is an equation.

Given:

This table;

x             y = 3x+3

-3                -6

-2                 a

-1                  b

0                 3

1                  c

2                 d

To Find:

Values of a, b, c and d

Consider the 2nd row,

x = -2, y = a

Putting the values in the equation,

we get,

   a = 3(-2) + 3

⇒ a = -3

Consider the 3rd row,

x = -1, y = b

Putting the values in the equation,

we get,

   b = 3(-1) + 3

⇒ b = 0

Consider the 5th row,

x = 1, y = c

Putting the values in the equation,

   c = 3(1) + 3

⇒ c = 6

Consider the 6th row,

x = 2, y = d

   d = 3(2) + 3

⇒ d = 9

The final answer is,

a = -3, b = 0, c = 6, d = 9.

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Step-by-step explanation:

since there is no graph it's a bit hard to answer this question, but I'll try. I can help solve the equation that represents the ratio of the two numbers:

(x + 1/2)/y = 1/3

This can be simplified to:

x + 1/2 = y/3

To graph this equation, you would need to plot points that satisfy the equation. One way to do this is to choose a value for y and solve for x. For example, if y = 6, then:

x + 1/2 = 6/3

x + 1/2 = 2

x = 2 - 1/2

x = 3/2

So one point on the graph would be (3/2, 6). You can choose different values for y and solve for x to get more points to plot on the graph. Once you have several points, you can connect them with a line to show the relationship between x and y.

(Like I said, it was a bit hard to answer this question, so I'm not 100℅ sure this is the correct answer, but if it is then I hoped it helped.)

Answer:

8 and 4

Step-by-step explanation:

Null hypothesis: The valve performs to the specifications, i.e., the mean pressure produced by the valve is 5.7 lbs/square inch.

Alternative hypothesis: The valve does not perform to the specifications, i.e., the mean pressure produced by the valve is not equal to 5.7 lbs/square inch.

To test these hypotheses, we can use a one-sample t-test. Given that the sample size is large (220 engines) and the standard deviation is known (0.6), we can calculate the test statistic using the formula:

t = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))

Substituting the given values:

t = (5.8 - 5.7) / (0.6 / sqrt(220))

Calculating this expression yields:

t = 1.73205

Now, we need to compare this t-value with the critical t-value at a significance level of 0.02 and the degrees of freedom (sample size - 1). If the calculated t-value exceeds the critical t-value, we reject the null hypothesis.

However, without the critical t-value, we cannot make a final determination. Please provide the critical t-value or the degrees of freedom to complete the hypothesis test and draw a conclusion regarding the valve's performance.

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Answer:

x=46°

Step-by-step explanation:

base angles in an isosceles triangle are equal

180-88 = 92°

92/2=46°

46 + 46 +88 = 180

Answer:

A triangle always will equal 180° degrees. Each other angle equals 46°.

Step-by-step explanation:

180° - 88° = 92°

92 ÷ 2 = 46°

Hope this helps :)

Answer:

Any graph that looks like the graph on the picture is the answer.

Step-by-step explanation:

Graph the absolute value using the vertex and a few selected points.

Answer:

y=-4

Step-by-step explanation:

The answer is going to be -4 as when y=-16 x=8.

Step-by-step explanation:

We must realise that the image of the quadratic curve shown is not showing the full curve. Instead it extends further out.

For all quadratic curves, the domain is all x-values.

We see here that this quadratic curve has an absolute minimum at y = -4 and the curve stretches towards positive infinity.

Hence the range is y >= 4.

The correct answers are the 1st and 5th options.

Answer:

tm-tj is just the expansion of t(m-j)

Step-by-step explanation:

To show how they are equivalent it would be best to substitute values for t, m and j.

Let t = 5

Let m = 2

Let j = 1

tm-tj = t(m-j)

5x2 - 5x1 = 5(2-1)

10 - 5 = 5(1)

5 = 5

Therefore tm-tj = t(m-j)

The probability that the coordinates of the point will satisfy $2x 5y \geq 20$? satisfy all the conditions is 4/5

You should know that probability is the chance of occurrences of an event E

The range of the points are as follows 0≤x≤10 and 0≤y≤10

This given inequality to express this is 2x+5y ≥20

Th first two conditions et up a square of lengths 10 units on the side of the square

The area of the square of side S is Area = S²

⇒Area = 10² = 100 square units  ......................... x

The area below the inequality 2x+5y ≥20 forms a triangle with a base of 10 and a height of 4 units

The area of the triangle is 10 * 4/2 = 20 units squared

The area above the inequality but within the same square is 100-20 = 80 units squared. .......................... y

The probability that the coordinates of the point satisfy all the three conditions is

Prob. = ≥x/y = 80/100 = 4/5

In conclusion, the probability that the coordinates of the point will satisfy $2x 5y \geq 20$? satisfy all the conditions is 4/5

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Answer:

1

Step-by-step explanation:

2+0=2 so 2 times 1/2 is 1

The payments each month do not cover all interest and no principal. The correct answer would be an option (B).

A credit card trap occurs when the minimum payments required each month do not cover all the interest charges and do not reduce the principal balance. This means that even if the cardholder makes the minimum payments on time, they will still be paying only the interest charges and not reducing the amount of debt. This can result in a cycle of high-interest debt that is difficult to escape from.

Option A is incorrect as it's describing a common way payments work on credit cards.

Option C is not a trap, as it's describing a credit card issuer with a low-interest rate.

Option D is also incorrect, as it's describing a common way payments work on credit cards.

Hence, the correct answer would be an option (B).

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1. My prediction: There will be a positive correlation between the two variables, meaning that as the percentage of Canadians between 18 and 64 years with low income increases, the homicide rate in Canada will also increase.

2. Report Raw data and the average score for each variable:

  Year | Homicide rate per 100,000 | Percentage of Canadians with low income (18-64)

  ------|------------------------|-----------------------------------------------

  2015 | 1.45 | 13.4

  2016 | 1.68 | 13.9

  2017 | 1.80 | 13.5

  2018 | 1.80 | 12.8

  Average Score:

  Year | Homicide rate per 100,000 | Percentage of Canadians with low income (18-64)

  ------|------------------------|-----------------------------------------------

  2015 | 1.45 | 13.4

  2016 | 1.68 | 13.9

  2017 | 1.80 | 13.5

  2018 | 1.80 | 12.8

  Mean | 1.6825 | 13.4153

  Standard Deviation | 0.1919 | 0.5264

3. Scatter plot of the two variables:

  [Image]

4. The correlation coefficient value obtained is r = 0.753. This means that there is a positive correlation between the two variables. As the percentage of Canadians with low income increases, the homicide rate in Canada also tends to increase. The correlation coefficient value of 0.753 indicates a strong positive correlation between the two variables.

5. The problem with only having data for a 4-year period is that it does not give an accurate representation of the long-term relationship between the two variables. In order to make reliable generalizations about the relationship between homicide rate and the percentage of Canadians with low income, a larger sample size covering a longer time period is required.

6. There might be a correlation between these two variables because low income is associated with various stressors, such as financial hardship, inadequate housing, and poor health. These stressors, in turn, can lead to increased crime rates and other negative social outcomes. The correlation coefficient of 0.753 suggests that there may be three potential avenues of cause and effect between the two variables: (1) increased stress and hardship may lead to increased crime rates, (2) increased crime rates may lead to increased poverty, and (3) there may be some underlying factors that are causing both the increase in crime and poverty.

7. You cannot examine this relationship in an experimental study because it would be unethical to manipulate individuals' income levels or exposure to violence for the sake of a study. Furthermore, experimental studies cannot establish causation between variables, as there may be other uncontrolled factors that affect the relationship between variables.

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m∠1 = m∠5, because alternate exterior angles are congruent.

Angles formed by intersecting two parallel lines with a transversal are known as angles in parallel lines.

Given:

lines a and b intersect a transversal, c.

The pair of angles on the outside of the two parallel lines but on the other side of the transversal are known as alternate exterior angles.

m∠1 = m∠5 (Alternate exterior angles are congruent)

m∠1 = m∠5, because alternate exterior angles are congruent.

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The Complete Question is attached below.

Answer:

20

Step-by-step explanation:

All you are doing is taking the accuracy of how many balls Cody can hit or the chances that he will hit the ball, then you take that and multiply it by the amount of times he is hitting the ball, in which it would be 30 x 6.5 = 19.5, but you would round to the nearest whole number, being 20.

Answer:

we convert 65% to decimal format. It will be .65 this is the percentage that he will sink the ball.

Multiply 30(.65)=19.5 since a ball throw cannot be a fraction round off the number. Therefore it would be 20 balls that he sinks.

In case this was not clear if he sunk 50% it would be .5(30)=15

1.The shaded percent is 42%

2.The value is 153.5

3. equivalent to 8 3/4 is 35/4

1. From the question, we have

Percent = 5/12 *100

= 42%

2. we have,

|-7.5| x |-21| -4

= 153.5

3. Equivalent is,

\(8\frac{3}{4} = \frac{(8*4)+3}{4} \\= \frac{35}{4}\)

Multiplication:

In mathematics, multiplying the numbers is used to find the product of two or more numbers. We frequently perform one of the basic mathematical operations. The most straightforward application is to use multiplication tables. Mathematicians multiply two numbers to represent the repetitive addition of one number to another. It is possible to include natural numbers, fractions, integers, whole numbers, and other types of numbers. M is either added to itself 'n' times or subtracted from itself when M is multiplied by n.

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The first five terms of the sequence are {-9, 54, -324, 1944, -11664}.Hence, the first five terms of the sequence are {-9, 54, -324, 1944, -11664}.

Given that a1 = -9 and an = -6an-1 to find the first five terms of an: {a1, a2, a3, a4, a5}

We have to use the formula an = -6 an-1 to find the next terms.

The first term a1 is given to us. So, a1 = -9

We can use the formula an = -6an-1 to find the next term using a1= -9 an1 = -6 * a1 = -6 * (-9) = 54

Thus the first two terms of the sequence are {-9, 54}.

We can use the formula an = -6an-1 to find the third term an2 = -6 * an1= -6 * 54 = -324

Thus the first three terms of the sequence are {-9, 54, -324}.

We can use the formula an = -6an-1 to find the fourth term an3 = -6 * an2= -6 * (-324) = 1944

Thus the first four terms of the sequence are {-9, 54, -324, 1944}.

We can use the formula an = -6an-1 to find the fifth term an4 = -6 * an3= -6 * (1944) = -11664

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To determine the profit that Gracie makes each week, she needs to subtract her weekly expenses from the weekly earnings of her cupcake shop.

Here is the table of earnings for the last 5 weeks:

Week Earnings

1              $1,200

2             $1,500

3             $1,100

4             $1,800

5             $1,400

To calculate the profit for each week, Gracie can use the following formula:

Profit = Earnings - Expenses

For example, to calculate the profit for week 1, Gracie would subtract her weekly expenses of $875 from her earnings of $1,200:

Profit for Week 1 = $1,200 - $875 = $325

Similarly, she can calculate the profit for each of the other weeks using the same formula.

Week  Earnings Expenses Profit

1             $1,200       $875              $325

2            $1,500       $875              $625

3            $1,100        $875              $225

4            $1,800       $875         $925

5            $1,400       $875         $525

Therefore, Gracie can determine the profit she makes each week by subtracting her weekly expenses from her weekly earnings.

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Part a

This represents a translation of 2 units to the right. So, the points are \((6, -3), (0,0), (8, -15)\).

Part b

This represents a translation of 9 units up. So, the points are \((4,6), (-2,9), (-10,-6)\).

Part c

This represents a translation of 3 units left and 1 unit down. So, the points are \((1, -4), (-5, -1), (-13, -16)\).

The values of function being changed according to the recursive formulae  a) f(1) = -6, f(2) = 12, f(3) = -24, f(4) = 48, and f(5) = -96, b)  f(1) = 16, f(2) = 55, f(3) = 172, f(4) = 523, and f(5) = 1576, c) f(1) = 1, f(2) = -3, f(3) = 13, f(4) = 141, and f(5) = 19597.

Let's find the values of f(1), f(2), f(3), f(4), and f(5) for each of the given recursive definitions:

(a) f(n+1) = -2f(n)

Using this recursive formula, we can calculate the values as follows:

f(1) = -2f(0) = -2(3) = -6

f(2) = -2f(1) = -2(-6) = 12

f(3) = -2f(2) = -2(12) = -24

f(4) = -2f(3) = -2(-24) = 48

f(5) = -2f(4) = -2(48) = -96

Therefore, f(1) = -6, f(2) = 12, f(3) = -24, f(4) = 48, and f(5) = -96.

(b) f(n+1) = 3f(n) + 7

Using this recursive formula, we can calculate the values as follows:

f(1) = 3f(0) + 7 = 3(3) + 7 = 9 + 7 = 16

f(2) = 3f(1) + 7 = 3(16) + 7 = 48 + 7 = 55

f(3) = 3f(2) + 7 = 3(55) + 7 = 165 + 7 = 172

f(4) = 3f(3) + 7 = 3(172) + 7 = 516 + 7 = 523

f(5) = 3f(4) + 7 = 3(523) + 7 = 1569 + 7 = 1576

Therefore, f(1) = 16, f(2) = 55, f(3) = 172, f(4) = 523, and f(5) = 1576.

(c) f(n+1) = f(n)² – 2f(n) – 2

Using this recursive formula, we can calculate the values as follows:

f(1) = f(0)²  - 2f(0) - 2 = 3²  - 2(3) - 2 = 9 - 6 - 2 = 1

f(2) = f(1)²  - 2f(1) - 2 = 1²  - 2(1) - 2 = 1 - 2 - 2 = -3

f(3) = f(2)²  - 2f(2) - 2 = (-3)²  - 2(-3) - 2 = 9 + 6 - 2 = 13

f(4) = f(3)²  - 2f(3) - 2 = 13²  - 2(13) - 2 = 169 - 26 - 2 = 141

f(5) = f(4)²  - 2f(4) - 2 = 141²  - 2(141) - 2 = 19881 - 282 - 2 = 19597

Therefore, f(1) = 1, f(2) = -3, f(3) = 13, f(4) = 141, and f(5) = 19597.

Therefore, The values of function being changed according to thr recursive formulae a) f(1) = -6, f(2) = 12, f(3) = -24, f(4) = 48, and f(5) = -96, b)  f(1) = 16, f(2) = 55, f(3) = 172, f(4) = 523, and f(5) = 1576, c) f(1) = 1, f(2) = -3, f(3) = 13, f(4) = 141, and f(5) = 19597.

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Answer:

A

Step-by-step explanation:

Find the slope using rise/run

This gets you -5/4

Find the y intercept, which is at (0, 3)

This means the equation will be:

y = -5/4x + 3