A runner takes 4. 92 seconds to complete a sprint. If they run the sprint 19 times, how many total seconds would it take?

Answer:

Refer to the attachment and Thank U

Answer:

523.60

Step-by-step explanation:

To find out when John, Maria, and Bruce will all go to the clinic on the same day, we need to find the least common multiple (LCM) of the numbers 6, 8, and 12, which represents the number of days that will pass before they all meet at the clinic again.

First, we can list the multiples of each number until we find a common multiple:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, ...

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, ...

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...

From these lists, we can see that the LCM of 6, 8, and 12 is 24. Therefore, John, Maria, and Bruce will all go to the clinic on the same day again in 24 days from February 17th, 2020.

To find out the exact date, we can add 24 days to February 17th, 2020:

February 17th + 24 days = March 12th, 2020

Therefore, John, Maria, and Bruce will all go to the clinic together again on March 12th, 2020.

Answer:

We can find the next time that John, Maria, and Bruce will all go to the clinic together by finding the least common multiple (LCM) of their visit frequencies.

The visit frequency of John is 6 days, Maria is 8 days, and Bruce is 12 days. To find the LCM, we can list out the multiples of each number until we find a common multiple:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120...

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120...

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120...

From the lists above, we can see that the next time they will all go to the clinic together is on the 24th day, which is the least common multiple of 6, 8, and 12. Therefore, John, Maria, and Bruce will all go to the clinic together again on March 12th, 2020 (since February only has 29 days in a leap year).

Step-by-step explanation:

In the Oymple race with 7 competitors, the number of ways to award the gold, silver, and bronze medals without any ties is 210.

To determine the number of ways the medals can be awarded, we can use the concept of permutations. In this case, we have 7 competitors vying for the medals, and we need to select 3 of them to receive the gold, silver, and bronze medals. Since order matters, we use the permutation formula.

The number of ways to select the gold medalist is 7, as any of the 7 competitors can win gold. After selecting the gold medalist, we have 6 remaining competitors who are eligible for the silver medal. The number of ways to select the silver medalist from the remaining 6 is 6. Finally, after selecting both the gold and silver medalists, we have 5 remaining competitors eligible for the bronze medal. Thus, the number of ways to select the bronze medalist is 5.

To find the total number of ways to award the medals, we multiply the number of choices at each step. Therefore, the total number of ways to award the gold, silver, and bronze medals without any ties in a race with 7 competitors is 7 × 6 × 5 = 210.  

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Answer:

that's dum

bxhsusjsjsjdjjdjsusususususu

From the data points given the linear equation in slope-intercept form is y = -1/2x + 4.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The first two data points are - (-3,5.5) and (-1,4.5)

The slope-intercept form of the equation is -

y = mx + b

m represents the slope of the linear equation.

To find the value of m use the formula -

(y2 - y1)/(x2 - x1)

Substitute the values into the equation -

(4.5 - 5.5)/[(-1) - (-3)]

Use the arithmetic operation of subtraction -

(-1)/(-1 + 3)

-1 / 2

So, the slope m is m = -1/2

Now, the equation becomes y = -1/2x + b

To find the value of b substitute the  values of x and y in the equation -

5.5 = -1/2(-3) + b

5.5 = 3/2 + b

5.5 = 1.5 + b

b = 5.5 - 1.5

b = 4

So, now the equation becomes - y = -1/2x + 4

The graph for the equation is plotted.

Therefore, the equation is y = -1/2x + 4.

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Answer:

True

Step-by-step explanation:

Example:

8 = 3 x - 5  is the equation in one variable

an associated linear inequality in one variable is for example:

8 < 3 x - 5

Answer:

5x-8

Step-by-step explanation:

first, let's distribute inside the parentheses.

7(x-2)

7x-14

-2(x-3)

-2x+6

let's put these expanded forms together.

7x-14-2x+6

combine like terms

5x-8

there's your answer!

In the above case, the possible point system will be:

1st choice vote: 4 points

2nd choice vote: 2 points

In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:

Lets say:

1st choice vote: 4 points

2nd choice vote: 2 points

Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.

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Answer:

slope is -9, y-int. is 6

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

I hope this helps. I hope its right.

Step-by-step explanation:

We can use the simple interest formula:

R = P(1 + rt)

where R is the balance, P is the principal, r is the interest rate, and t is the time.

For Investment R, we have:

R = 1,500(1 + 0.0275*8)

R = 1,980

For Investment S, we can use the formula:

R = P(1 + r)^t

R = 900(1 + 0.0275)^8

R = 1,116.92

a. The difference between the balance of the two investments after 8 years is:

1,980 - 1,116.92 = 863.08

b. The interest earned for Investment R is:

I = Prt

I = 1,500*0.0275*8

I = 330

For Investment S, we can calculate the interest using:

I = R - P

I = 1,116.92 - 900

I = 216.92

The difference between the interest earned on the two investments is:

330 - 216.92 = 113.08

c. To compare the return on investment, we can use the concept of compound interest.

For Investment R, the total value after 8 years is:

R = 1,500(1 + 0.0275*8)

R = 1,980

For Investment S, we can calculate the effective annual rate:

EAR = (1 + r/n)^n - 1

EAR = (1 + 0.0275/1)^1 - 1

EAR = 0.0275

The total value after 8 years is:

R = 900(1 + 0.0275)^8

R = 1,116.92

The return on investment for Investment R is:

ROI = (1 + r/n)^nt - 1

ROI = (1 + 0.0275/1)^1*8 - 1

ROI = 0.2229

The return on investment for Investment S is:

ROI = (1 + EAR)^t - 1

ROI = (1 + 0.0275)^8 - 1

ROI = 0.2329

Therefore, Investment S had the better return on investment.

Step-by-step explanation:

4x-5≥7

4x≥7+5

4x≥12

x≥12/4

x≥3

•-------------------------------------------------------------->

__________________________________________________

0 1 2 3 4 5 6 7 8 9 10

hope it helps!

The answer to the given integral is -1.

To evaluate the integral ∫C​yexdx+xexxdy along the given curve C, we can use Green's theorem. Green's theorem relates a line integral over a closed curve C to a double integral over the region D enclosed by C.

The curve C is defined as the portion of the curve y=\(x^3\)−\(x^2\)+1 from (0,1) to (1,1). We can parameterize this curve as r(t) = (t, \(t^3\)−\(t^2\)+1), where t ranges from 0 to 1.

We then calculate the partial derivatives of y and x with respect to their respective variables:

∂y/∂x = 3\(t^2\) - 2t

∂x/∂y = 1 / (3\(t^2\) - 2t)

Using Green's theorem, the integral becomes:

∫C​yexdx+xexxdy = ∬D ( ∂y/∂x - ∂x/∂y ) dA

Substituting the partial derivatives we calculated earlier, we have:

∫C​yexdx+xexxdy = ∬D (3t^2 - 2t - 1 / (3\(t^2\) - 2t) ) dA

Integrating over the region D, we find:

∫C​yexdx+xexxdy = -1

Thus, the main answer to the given integral is -1.

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Answer:

4 and 5

Step-by-step explanation:

4^2 = 16

5^2 = 25

Answer:

D.) x = − ½, x = 4

Explanation:

\(\rightarrow \sf (10x + 5)(11x - 44) = 0\)

set the factors to zero

\(\rightarrow \sf 10x + 5 = 0, \ 11x - 44 = 0\)

exchange the sides

\(\rightarrow \sf 10x = -5, \ 11x = 44\)

exchange the sides

\(\rightarrow \sf x = -\dfrac{5}{10} , \ x = \dfrac{44}{11}\)

simplify the following

\(\rightarrow \sf x = -\dfrac{1}{2} , \ x =4\)

On solving

Answer:

7.6 liters

Step-by-step explanation:

The required converted value is 7.6 liters, which is 8 quarts into liters.

To convert 8 quarts into liters, we can use the following conversion factors:

1 quart (qt) = 4 cups (cups)

1 cup (cup) = 8 fluid ounces (fl oz)

1 fluid ounce (fl oz) = 29.574 milliliters (mL)

1 liter (L) = 1000 milliliters (mL)

First, let's convert quarts to cups:

8 quarts x 4 cups/quart = 32 cups

Next, convert cups to fluid ounces:

32 cups x 8 fl oz/cup = 256 fl oz

Now, convert fluid ounces to milliliters:

256 fl oz x 29.574 mL/fl oz = 7570.94 mL

Finally, convert milliliters to liters:

7570.94 mL / 1000 mL/L = 7.57094 L

Rounded to the nearest tenth, 8 quarts is approximately 7.6 liters.

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The complete question is as follows:

Convert 8 quarts into liters. Round your answer to the nearest tenth

*Note: you must use these exact conversion factors to get this question right.

1 cup (cup) = 8 fluid ounces (fl oz)

1 liter (L) 1000 milliliters (mL)

1 pint (pt) = 2 cups (cups)

1 cubic meter (m³) = 1000 liters (L)

1 quart (qt) = 2 pints (pt)

1 gallon (gal) = 3.785 liters (L)

1 gallon (gal) = 4 quarts (qt)

1 fluid ounce (fl oz) = 29.574 milliliters (ml)

1 cubic foot (ft³) = 7.481 gallons (gal)

The given statement is False. A test statistic based on point estimation is not used to construct the decision rule which defines the rejection region.

In hypothesis testing, a test statistic is calculated using sample data and a specific hypothesis to assess the strength of evidence against the null hypothesis. The decision rule, which determines whether to reject or fail to reject the null hypothesis, is based on the test statistic's distribution under the null hypothesis, rather than the point estimate itself.

The construction of the decision rule involves selecting a significance level (alpha), which represents the probability of rejecting the null hypothesis when it is actually true. The rejection region is determined based on the chosen significance level and the distribution of the test statistic. If the calculated test statistic falls within the rejection region, the null hypothesis is rejected; otherwise, it is not rejected.

Point estimation, on the other hand, is used to estimate an unknown parameter of interest, such as the population mean or proportion, based on sample data. It involves calculating a single value (point estimate) that represents the best guess for the parameter value. The point estimate is not directly involved in constructing the decision rule or defining the rejection region in hypothesis testing.

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False. A test statistic based on point estimation is not used to construct the decision rule that defines the rejection region.

The process of hypothesis testing involves constructing a decision rule to determine whether to accept or reject a null hypothesis based on sample data. The decision rule is typically defined using a critical region or rejection region, which is a range of values for the test statistic.

Point estimation, on the other hand, is a method used to estimate an unknown population parameter based on sample data. It involves calculating a single value (point estimate) that serves as an estimate of the population parameter.

While point estimation and hypothesis testing are both important concepts in statistics, they serve different purposes. Point estimation is used to estimate population parameters, whereas hypothesis testing involves making decisions based on sample data.

The decision rule for hypothesis testing is typically constructed based on the significance level (alpha) and the distribution of the test statistic, such as the t-distribution or the standard normal distribution. The test statistic is calculated using sample data and compared to critical values or calculated p-values to determine whether to reject the null hypothesis.

Therefore, the statement that a test statistic based on point estimation is used to construct the decision rule defining the rejection region is false.

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Answer:

see explanation-

Step-by-step explanation:

6 bagles is $2.50

and the the amount of bagles for $50 is 40 as 4*12 = 48

Answer:

1. $2.50

2. should be 120 bagels

Step-by-step explanation:

Answer:

7.4 x 10 to the 9th power

Step-by-step explanation:

At the end of numbers, there is a decimal point. when writing in function notation, you bring the point to the left or to the right depending on if it is a negative or a positive number

in this problem, you are dealing with a positive number, so bring the decimal point to the left. count how many numbers it takes to get in between, in this number, 7 and 4. it takes 9 spaces to the left. now the decimal point has been moved, your number goes from 7,400,000,000 to 7.4 x 10 to the 9th power(7.4 x 10^9)

Answer:

0.60

Step-by-step explanation:

becouse of two probability within added gives the above answer

The area of triangle JHK is 4.18 units²

A triangle is a polygon with three sides having three vertices. There are different types of triangle, we have;

The right triangle, the isosceles , equilateral triangle e.t.c.

The area of a figure is the number of unit squares that cover the surface of a closed figure.

The area of a triangle is expressed as;

A = 1/2bh

where b is the base and h is the height.

The base = 2.2

height = 3.8

A = 1/2 × 3.8 × 2.2

A = 8.36/2

A = 4.18 units²

Therefore the area of triangle JHK is 4.18 units²

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Answer:

Y= -1/2X+9

Step-by-step explanation:

Answer:

Y= -1/2X+9

Step-by-step explanation:

For the given matrix A, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. The determinant det(A) is 68.

To find the minors of a matrix, we need to find the determinants of the submatrices obtained by removing the row and column corresponding to the element of interest. In this case, the minors M13, M23, and M33 correspond to the determinants of the 2x2 submatrices obtained by removing the first row and the third column, second row and third column, and third row and third column, respectively.

To find the cofactors, we multiply each minor by a positive or negative sign based on its position in the matrix. The signs alternate starting with a positive sign for the top left element. In this case, the cofactors C13, C23, and C33 correspond to the minors M13, M23, and M33 respectively.

Finally, the determinant of a 3x3 matrix can be found by using the formula det(A) = a11C11 + a12C12 + a13C13, where a11, a12, and a13 are the elements of the first row of the matrix and C11, C12, and C13 are their corresponding cofactors. In this case, the determinant det(A) is 68.

Therefore, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. And the determinant det(A) is 68.

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Researchers conducted a study and obtained  the p-value is 0.30, which is higher than the common significance level of 0.05. This means that there is not enough evidence to reject the null hypothesis, but it does not mean that the null hypothesis is accepted.

Hence this statement is false.

When researchers conduct a study and obtain a p-value, they use it to make a decision regarding the null hypothesis.

However, a high p-value does not provide evidence to accept the null hypothesis.

Instead, it indicates that there is not enough evidence to reject the null hypothesis.
1. Researchers start with a null hypothesis (H0), which is a statement that there is no effect or relationship between variables being studied.

They also have an alternative hypothesis (H1), which is a statement that there is an effect or relationship between variables.
2. They collect data and perform statistical tests to calculate the p-value, which represents the probability of observing the test results (or more extreme results) assuming the null hypothesis is true.
3. The p-value is then compared to a pre-determined significance level (alpha), commonly set at 0.05 or 5%.

If the p-value is less than the significance level, researchers reject the null hypothesis in favor of the alternative hypothesis.
4. In this case, the p-value is 0.30, which is higher than the common significance level of 0.05.

This means that there is not enough evidence to reject the null hypothesis, but it does not mean that the null hypothesis is accepted.
5. Instead, researchers should say that they "fail to reject" the null hypothesis, meaning they cannot confidently conclude that the alternative hypothesis is true based on the data and analysis.

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Answer:

y=3x-8

Step-by-step explanation:

Answer:

If a+b>0a+b>0 and ab<0ab<0, which of the following must be true?

I. a<0a<0

II. b>0b>0

III. |b|>|a||b|>|a|

A. I only

B. I and II only

C. I and III only

D. I, II and III

E. Noe of these

Step-by-step explanation:

there really is no explanation it is simple math

Answer: 166 Soft Drinks

Step-by-step explanation:

250 ÷ 1.50 = 166

Answer:

about 76% (75.51) of the exhibits feature monkeys

Step-by-step explanation:

To show h(t) = |r(t)|², where r(t) is a complex-valued function, we need to first find the magnitude of r(t) and then square it.

Let r(t) = x(t) + i y(t) be a complex-valued function, where x(t) and y(t) are the real and imaginary parts of r(t), respectively. The magnitude of r(t) is given by |r(t)| = √(x(t)² + y(t)²), which is the distance of the point (x(t), y(t)) from the origin in the complex plane.

To find |r(t)|², we simply square the magnitude, i.e., |r(t)|² = (x(t)² + y(t)²).

Therefore, h(t) = |r(t)|² = (x(t)² + y(t)²),

which is the sum of the squares of the real and imaginary parts of r(t).

In the case where r(t) is a real-valued function, i.e., y(t) = 0, then h(t) reduces to h(t) = r(t)².

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