13. Alex began a new exercise routine. To gain the maximum benefit from his exercise, Alex calculated his
maximum target heart rate using the function f(x) 0.85(220 - x), where x represents his age. Find
the inverse of this function.

Answer:

x = 13

Step-by-step explanation:

BH / YL = HN / LR

28 / 21 = 3x-7 / x+11

cross-multiply:

4x + 44 = 9x - 21

-5x = -65

x = 13

Answer:13

Step-by-step explanation:

Answer:

268.1

Step-by-step explanation:

Area of Sphere =

\( \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \pi {4}^{3} \\ = 268.1 {units}^{3} (nearest \: tenth)\)

Answer:

El número es el 47

Step-by-step explanation: Con los dígitos de los siguientes números se obtiene que su suma es 11

47        4  +  7  =  11

38         3  +  8 =  11

29         2   + 9  = 11

Si se cambia el orden de los dígitos:

47       se convierte en    74        74 - 47  =  27

38                  "    "             83        83 - 38 =  45

29                  "    "             92        92 - 29 = 63

Entonces el número solicitado es el 47

Answer:

Half of 21 in a radius is 10.5.

Answer:

21/2=10.5

Step-by-step explanation:

21/2

A Venn diagram is a graphical representation of all possible logical relationships between a finite collection of sets. Venn diagrams are used to visualize how different sets overlap and the relationship between different groups of objects.

Venn diagrams are often used in statistics and probability to illustrate the relationship between different events.

In the context of probability, events A, B, and C are considered independent if the occurrence of one event does not affect the probability of the other events occurring. In other words, the probability of each event is independent of the other events.

To create a Venn diagram that illustrates three independent events A, B, and C, you would first draw three circles that are not overlapping.

Each circle represents one of the three events. Next, you would label each circle with the name of the corresponding event. In order to make the size of each circle proportional to the probability of the event occurring, you would adjust the size of each circle according to the probability of that event.

The larger the probability, the larger the circle. Finally, you would indicate the area of overlap between each pair of events. Because the events are independent, there should be no overlap between any of the circles. The Venn diagram would look something like this: In summary, to illustrate three independent events A, B, and C using a Venn diagram, you would draw three non-overlapping circles that represent each event and adjust their size to be proportional to the probability of that event.

There should be no overlap between any of the circles since the events are independent.

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Answer:

y=2x+3 x-y=-2

substituting y=2x+3 x-(2x+3)=-2

-x=-2-3

-x=-5

x=-5/-1

x=5

now substituting x=5

y=2x+3

y=2(5)+3

=10+3

y=13

Answer:

You are going to spend $3.48 in total.

Step-by-step explanation:

You need to add the two numbers together.

1.49+1.99=$3.48

You are going to spend $3.48 in total. (I'm assuming we aren't supposed to include tax)

Answer:

(0,7)

Step-by-step explanation:

Answer:

this is an triangle.

so the area of triangle =1/2×base×hieght

so let fg be base

area of the triangle=1/2×6cm×5cm

area of triangle=15cm²

The horizontal asymptote of the equation y=\((3x-1)/(x+3)\) is 3.

Given an equation y=\((3x-1)/(x+3)\) and we are required to find the horizontal asymptote of the equation.

Equation is like a relationship between two or more variables expressed in equal to form. It may be linear equation, quadratic equation or cubic equation. Equation of two variables look like ax+by=c.

Put x=0 in the equation,

y=\((3x-1)/(x+3)\)

Horizontal asymptote can be found by dividing the coefficients of the leading terms of the equation. We have to divide the coefficients.

Horizontal asymptote=3x/x

=3

Hence the horizontal asymptote of the equation y=\((3x-1)/(x+3)\) is 3

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The P-value of 0.015 suggests strong evidence against the null hypothesis and in favor of the alternative hypothesis that the proportion of softwood trees in the forested region may be greater than 0.60.

The P-value is the probability of obtaining a sample result as extreme or more extreme than the one observed, assuming the null hypothesis is true.

In this case, the null hypothesis is that the proportion of softwood trees in the forested region is 0.60, and the alternative hypothesis is that the proportion is greater than 0.60.

A P-value of 0.015 indicates that there is strong evidence against the null hypothesis and in favor of the alternative hypothesis.

Specifically, it suggests that if the true proportion of softwood trees were 0.60, the probability of obtaining a sample result with a proportion greater than 0.60 is only 0.015.

This is considered a low probability and provides evidence in support of the alternative hypothesis that the proportion of softwood trees in the forested region may be greater than 0.60.

Therefore, we can reject the null hypothesis at a significance level of 0.05 (since the P-value is less than 0.05), and conclude that there is evidence to suggest that the proportion of softwood trees in the forested region is greater than 0.60.

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a) To find the total number of license plates that the country can produce, we need to count all the possible combinations of digits and letters. Since there are 10 digits (0-9) and 26 letters in the Roman alphabet, the total number of possible license plates can be calculated as:

Number of possible digits = 10
Number of possible letters = 26
Total number of license plates = (Number of possible digits) * (Number of possible letters)^4 + (Number of possible digits) * (Number of possible letters)^5
= (10)*(26)^4 + (10)*(26)^5
= 11,881,376,000
Therefore, the country can produce more than 11 billion different license plates.

b) To find the number of license plates that have no repeated letters, we need to count all the possible combinations of 5 or 6 unique letters. For a 5-letter combination, we can choose 5 letters out of 26 without replacement, and for a 6-letter combination, we can choose 6 letters out of 26 without replacement. Therefore, the total number of license plates with no repeated letter can be calculated as:
Number of possible 5-letter combinations = (26 C 5) = 65,780
Number of possible 6-letter combinations = (26 C 6) = 230,230
Total number of license plates with no repeated letter = (Number of possible 5-letter combinations) + (Number of possible 6-letter combinations)
= 296,010

Therefore, the country can produce 296,010 license plates with no repeated letter.
c) To find the number of license plates that have at least one repeated letter, we can use the complementary counting principle. That is, we count the total number of license plates and subtract the number of license plates with no repeated letter. Therefore, the total number of license plates with at least one repeated letter can be calculated as:

Total number of license plates = (Number of possible digits) * (Number of possible letters)^4 + (Number of possible digits) * (Number of possible letters)^5
= (10)*(26)^4 + (10)*(26)^5
= 11,881,376,000
Number of license plates with no repeated letter = 296,010
Number of license plates with at least one repeated letter = (Total number of license plates) - (Number of license plates with no repeated letter)
= 11,881,376,000 - 296,010
= 11,881,080,990
Therefore, the country can produce 11,881,080,990 license plates with at least one repeated letter.

d) To find the probability that a license plate has a repeated letter, we can use the formula:
Probability = (Number of license plates with at least one repeated letter) / (Total number of license plates)
Using the values calculated in part (a) and (c), we can find the probability as:
Probability = (Number of license plates with at least one repeated letter) / (Total number of license plates)
= 11,881,080,990 / 11,881,376,000
= 0.999975

Therefore, the probability that a license plate has a repeated letter is approximately 0.999975.

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Area =20^2 = 20 x 20 = 400 square feet

Answer: The answer is 400

Step-by-step explanation:

The answer is 400 because each side is 20feet and u have to multiply l x w so the answer is 400 because 20x20 is 400

The discrete probability distribution of P(X> 5) is 0.62

A discrete probability distribution and a continuous probability distribution are two types of probability distributions that define discrete and continuous random variables respectively. A probability distribution can be defined as a function that describes all possible values of a random variable as well as the associated probabilities.

The find P(X > 5), we need to sum the probabilities of all the values of X that are greater than 5.

To find the missing probabilities, we know that the sum of all probabilities must equal 1. So, we can set up an equation:

0.08 + 0.15 + 0.15 + 0.15 + 0.06 + 0.?? + 0.?? = 1

Solving for the missing probabilities, we get:

0.08 + 0.15 + 0.15 + 0.15 + 0.06 + 0.24 + 0.17 = 1

So, P(X = 8) = 0.24 and P(X = 9) = 0.17

Now, we can sum the probabilities of all values of X that are greater than 5:

P(X > 5) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)

P(X > 5) =  0.15 + 0.06 + 0.24 + 0.17

P(X > 5) = 0.62

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The probability mass function of X( -3, -1, 1 ,3)  is P(X) 1/8 3/8 3/8 1/8.

A fair coin is flipped 3 times and the random variable X is defined as follows:

   X = 3 times the number of heads - 2 times the number of tails

To find the probability mass function of X, we can list all the possible outcomes and calculate their probabilities.

The Possible outcomes are as shown:

   3 heads (X = 3)

   2 heads, 1 tail (X = 1)

   1 head, 2 tails (X = -1)

   3 tails (X = -3)

And the Probabilities are:

   P(X = 3) = 1/8

   P(X = 1) = 3/8

   P(X = -1) = 3/8

   P(X = -3) = 1/8

Therefore, the probability mass function of X is:

X( -3, -1, 1 ,3)  is  P(X) 1/8 3/8 3/8 1/8

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Answer:

thirty thousand, six hundred and eighty-two!

Step-by-step explanation:

Answer:

thirty thousand six hundred eighty two

Answer:

There would be 45 stars in a stage 15 patteren

Answer:

QR

Step-by-step explanation:

If two shape are congruent, it means they have equal corresponding sides and angles. You can find which ones are corresponding to each other by where the letters are placed in the shapes given name.

For example, given: BCDE & OPQR

BC = OP

CD = PQ

DE = QR

Notice that DE is the 3rd and last letter in BCDE

QR is also the 3rd and last letter of OPQR

Answer:

put 1 orange in each group and then cut the last in thirds and each group will have 1 and 1/3 oranges

Step-by-step explanation:

a. The price elasticity of blue jeans on the weekend is approximately -2.14, indicating that a 1% decrease in price will result in a 2.14% increase in quantity demanded.

b. The quantity demanded of blue jeans will increase by approximately 10.7%.

a. The price elasticity of demand measures the responsiveness of the quantity demanded to a change in price. It is calculated as the percentage change in quantity demanded divided by the percentage change in price.

Given:

Price = $40

Price of khakis = $50

Advertising = $2

Weekend (dummy variable) = 1 (indicating it is the weekend)

To calculate the price elasticity of blue jeans on the weekend, we need to use the coefficient for the "Price" variable from the regression results.

Price elasticity of demand = (Coefficient for Price * Price) / Quantity demanded

Coefficient for Price = -4.5 (from regression results)

Price = $40 (given)

Quantity demanded can be calculated using the regression equation:

Quantity demanded = Intercept + (Coefficient for Price * Price) + (Coefficient for Price Khakis * Price of khakis) + (Coefficient for Advertising * Advertising) + (Coefficient for Weekend * Weekend)

Intercept = 200 (from regression results)

Coefficient for Price Khakis = 2.2 (from regression results)

Coefficient for Advertising = 6.5 (from regression results)

Coefficient for Weekend = 10.0 (from regression results)

Quantity demanded = 200 + (-4.5 * 40) + (2.2 * 50) + (6.5 * 2) + (10.0 * 1)

Quantity demanded = 200 - 180 + 110 + 13 + 10

Quantity demanded = 153

Now we can calculate the price elasticity of demand:

Percentage change in quantity demanded = (Quantity demanded - Quantity demanded with a 5% price decrease) / Quantity demanded

Percentage change in quantity demanded = (153 - Quantity demanded with a 5% price decrease) / 153

Percentage change in price = 5% (given)

Price elasticity of demand = (Percentage change in quantity demanded / Percentage change in price) * (Price / Quantity demanded)

Price elasticity of demand = ((153 - Quantity demanded with a 5% price decrease) / 153) / 0.05 * (40 / 153)

To find the quantity demanded with a 5% price decrease, we calculate:

New price = $40 - (5% of $40) = $40 - ($2) = $38

New quantity demanded = 200 + (-4.5 * 38) + (2.2 * 50) + (6.5 * 2) + (10.0 * 1)

New quantity demanded = 200 - 171 + 110 + 13 + 10

New quantity demanded = 162

Substituting the values into the formula:

Price elasticity of demand = ((153 - 162) / 153) / 0.05 * (40 / 153)

Price elasticity of demand = (-0.059 / 0.05) * (40 / 153)

Price elasticity of demand ≈ -2.14

The price elasticity of blue jeans on the weekend is approximately -2.14, indicating that a 1% decrease in price will result in a 2.14% increase in quantity demanded.

b. We already calculated the price elasticity of demand (-2.14). Now, we can use this elasticity to determine the percentage change in quantity demanded when the price is reduced by 5%.

Percentage change in price = -5% (given)

Percentage change in quantity demanded = Price elasticity of demand * Percentage change in price

Percentage change in quantity demanded = -2.14 * (-5%)

Percentage change in quantity demanded = 10.7%

Therefore, if the price of blue jeans is reduced by 5%, the quantity demanded will increase by approximately 10.7%.

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Answer:

up two units

Step-by-step explanation:

Adding 2 to f(x) = x results in the function becoming g(x) = x + 2 and the graph being translated up two units.

In the preceding equation the measure of the smallest angle is 52° in length.

Internal angles 2 and 3 are alternate options. Two angles that share a vertex and a side but no interior points in common. two angles that don't have any shared interior points but do have a common vertex and side.

We know that a triangle has 180 angles altogether.

So, 2x + 3x - 11 + 2x + 9 = 180

7x - 2 = 180

7x = 180 + 2

x = 182 / 7

x = 26

Now, magnitude of angles = 2x = 2(26) = 52  [ Smallest ]

3x - 11 = 3(26) - 11 = 78 - 11 = 67  [ Largest ]

2x +9 = 2(26) + 9 = 52 + 9 = 61

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Answer:

14 jackets

Step-by-step explanation:

20 plastic bottles=1 fleece jacket

280 plastic bottles=?

(280×1)÷20

=14

Answer:

2:3

Step-by-step explanation:

Simplify it like a fraction.

Answer:

2:3

Step-by-step explanation:

Divide both by 6

Answer:

-r+5<-3

Step-by-step explanation:

plug in 19 to the equation inequality

60 forks 60÷3=$20

60 spoons 60÷4=$15

$20+$15=$35 total spent for forks and spoons

Answer:

5.7 or 5.8 is the correct answer

Answer: 4.75cm

Step-by-step explanation:

The dimensions 36 x 27 inches are too small to allow a 48-inch piece of glass to fit through it.

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