I need help with this question.

For the right triangle shown match the equivalent expressions.

The probabilities are;

a) 0.03

b) 0.691

c) 0.2.

How to calculate probability.

Given information

A company surveyed 1000 people on their age and the number of jeans purchased annually. The results of the poll are shown in the above table.

a) The person is over 25 and purchases 3

or more pairs of jeans annually

P(25 and 3 or Jeans)

[tex] = \frac{30}{1000} [/tex]

= 0.03

b) The person is older than 18 or purchases

1 pair of jeans annually.

[tex] = \frac{560 + 274 - 143}{100} [/tex]

[tex] = \frac{691}{1000} [/tex]

= 0.691

c) The person is 12 - 18 in the age group

and purchases at most 2 pairs of jeans annually

[tex] = \frac{17 + 61 + 122}{1000} [/tex]

[tex] = \frac{200}{1000} [/tex]

= 0.2

Complete question

A company surveyed 1000 people on their age and the number of jeans purchased annually. The results of the poll are shown in the table. A person is selected at random. Compute the probability of the following. The person is over 25 and purchases 3 or more pairs of jeans annually. The person is older than 18 or purchases 1 pair of jeans annually. The person is in the age group 12-18 and purchases at most 2 pairs of jeans annually.

Answer:

[tex]\large\boxed{P=(3\pi+4)\ ft}[/tex]

Step-by-step explanation:

We have 3/4 of a circle and the square.

The perimeter is equal to the sum of a 3/4 of a circumference of a circle and two sides of a square.

The formula of a circumference of a circle:

[tex]C=2\pi r[/tex]

r - radius

We have r = 2 ft. Substitute:

[tex]C=2\pi(2)=4\pi\ ft[/tex]

3/4 of a circumference:

[tex]\dfrac{3}{4}\cdot4\pi=3\pi\ ft[/tex]

The length of a side of a square is a = 2ft.

Calculate the perimeter:

[tex]P=3\pi+(2)(2)=(3\pi+4)\ ft[/tex]

Answer:

1.8 miles

Step-by-step explanation:

3/5 * 3 for the extra mile that he walks

Answer:

1 4/5 miles to school. 3 3/5 miles if you wanted to know to school AND back.

Step-by-step explanation: You would take the 3/5 of a mile that Slaura walks every day and multiply it by 3. Your equation would be 3/5 x 3/1. Your answer for how many miles Isaiah walk to school everyday is 9/5 or 1 4/5 miles. If you wanted to know how many miles Isaiah walked to school AND back, then you would double 1 4/5 miles.

Found this on a website! Hope this is helpful!

Answer:

Max would save $126 if he quit smoking.

Step-by-step explanation:

It is given that the age of max is 33.

From the given table it is clear that the monthly premium for every $25000 of coverage for age group 31-40 non smoker male is 5.50 and smoker male is $9.00.

Total yearly premium for $75000 for non smoker male of 33 age is

[tex]P_1=5.50\times 3\times 12=198[/tex]

Total yearly premium for $75000 for smoker male of 33 age is

[tex]P_2=9.00\times 3\times 12=324[/tex]

If he quit smoking then he save

[tex]Saving=P_2-P_1[/tex]

[tex]Saving=324-198[/tex]

[tex]Saving=126[/tex]

Therefore max would save $126 if he quit smoking.

Answer:

Step-by-step explanation:

You’re answer is 1/12

Answer:

1/12

Step-by-step explanation:

Answer:

There are no outliers

Step-by-step explanation:

An outlier is a number thats far different than the numbers selected. All of these numbers are close to each  other.

Answer:

Option D. there are no outliers.

Step-by-step explanation:

The given prices of five used cars in the data set we have to find the outlier number.

Outlier number in a data set is very different from the data set values. It may be more greater or more lower numbers from the other numbers.

In the given data set all the numbers are close to each other.

Therefore, Option D. there are no outliers.

Answer:

B

Step-by-step explanation:

We know:

1. Replacing -x into x of an equations reflects the graph on the y-axis

2. If f(x) is a function, then f(x)+a is a vertically translated graph of the original graph, a units up

Looking at the original function of ln x and the transformed graph of ln(-x) +5, we see that we have replaced x with -x, which means it is a reflection across the y-axis.

Also, we have added a five after the function, so that means it is a vertical translation of 5 units up.

Looking at the answer choices, we see that B is the correct answer.

A Histogram would be better for displaying the data

A histogram would be better for displaying the data of elephant calves' weight gains after the switch to a new formula for daily feedings.

A histogram would be better for displaying the data of elephant calves' weight gains after the switch to a new formula for daily feedings. A histogram is useful for displaying the distribution and frequency of a continuous dataset, such as the weight gains of elephant calves. It can show how many calves fall within each weight range, and provide a visual representation of the desired range of weight gain.

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Answer:

a) 0.7486; b) 0.6518; c) No

Step-by-step explanation:

We use z scores to answer these questions.  The formula for a z score is

[tex]z=\frac{X-\mu}{\sigma}[/tex]

Our mean, μ, is 44; our standard deviation, σ, is 1.5.

For part a,

We want P(X > 43):

z = (43-44)/1.5 = -1/1.5 = -0.67

Using a z table, we see that the area under the curve to the left of this is 0.2514.  However, we want the area to the right; this means we subtract from 1:

1 - 0.2514 = 0.7486

For part b,

We want P(42 ≤ X ≤ 45):

z = (42-44)/1.5 = -2/1.5 = -1.3

z = (45-44)/1.5 = 1/1.5 = 0.67

Using a z table, the area under the curve to the left of z = -1.3 is 0.0968.  The area under the curve to the left of z = 0.67 is 0.7486.

The area between them is 0.7486 - 0.0968 = 0.6518.

For part c,

A response of 35 has a z score of

z = (35-44)/1.5 = -9/1.5 = -6

This is 6 standard deviations below the mean.  This is more than the amount required to make this an outlier, or an unlikely response.

Answer: option b.

Step-by-step explanation:

You must keep on mind the following identities:

[tex]csc\theta=\frac{1}{sin\theta}\\\\cot\theta=\frac{1}{tan\theta}[/tex]

[tex]tan\theta=\frac{sin\theta}{cos\theta}[/tex]

Therefore, you can simplify the expression given in the problem as you can see below:

- Substitute identities:

[tex]\frac{csc\theta}{cot\theta}=\frac{\frac{1}{sin\theta}}{\frac{1}{tan\theta}}\\\\=\frac{tan\theta}{sin\theta}\\\\=\frac{\frac{sin\theta}{cos\theta}}{sin\theta}\\\\=\frac{sin\theta}{(cos\theta)(sin\theta)}\\\\=\frac{1}{cos\theta}[/tex]

By definition:

[tex]\frac{1}{cos\theta}=sec\theta[/tex]

The correct answer is B, or sec theta.

Just got it right on edge 2020, hope this helps!! :)

Answer:

  17 terms

Step-by-step explanation:

131072 = 2^17

8 = 2^3

4 = 2^2

2 = 2^1

Apparently, the sequence is powers of 2 from 17 down to 1, so there are 17 terms in the sequence.

Answer:

Area of parallelogram divided by 2 is the triangles are.

Area of parallelogram = B x H and triangle area = 1/2 x B x H

Step-by-step explanation:

Answer:

A ) The area of Δ ABC is 2 units greater than area of parallelogram GHJK.

Step-by-step explanation:

Answer:

option (B)

15 + 5√3

Step-by-step explanation:

In a 30-60-90 triangle, you can find the measure of any of the three sides, simply by knowing the measure of at least one side in the triangle.

Given in the question,

length of small leg = 5

As we know that

The hypotenuse is equal to twice the length of the shorter leg

The longer leg is equal to multiplying the shorter leg by the square root of 3

Perimeter of a triangle = sum of the length of three sides

                                     =  5√3 + 10 + 5

                                     = 15 + 5√3

Answer:

Yes, twice

Step-by-step explanation:

The equation will intersect the x-axis when y = 0, so we have

x² - 4x = -3    now solve this quadratic for x...

  x² - 4x + 3 = 0    

factor...

(x - 3)(x - 1) = 0,

so at x = 1 and x = 3, the function crosses the x-axis

See the graph below

Yes, because the center is on the x-axis, the circle will intersect 2 times, at x=1 and at x=3

Answer:

1176 Combinations

Step-by-step explanation:

As mentioned in the question, there are total 8 boys and 7 girls.

Our objective is to create a team with 5 boys and girls each.

To select 5 boys out of 8, we will use combination.

=> 8C5 = [tex]\frac{8!}{5!(8-5!)}[/tex]

=> [tex]\frac{8.7.6.5!}{5!.3!}[/tex]

=> [tex]\frac{8.7.6}{6}[/tex]

=> 56

Similarly,

5 girls are selected using 7C5

=> 21

Therefore, the total combination of players are 56 * 21 = 1176

Answer:

If a fair coin is tossed three times, sample = 2^3 = 8 (hhh, hht, hth, thh, htt, tht, tth, ttt) where h=head and t=tail.

Probability of getting one:

Outcomes with one head (h) = 3

P(1 h) = 3/8 = 0.375

The probability of getting exactly one tail when a fair coin is tossed three times in succession is 37.5%.

The probability of getting exactly one tail when a fair coin is tossed three times in succession can be found using the binomial probability formula.

Let's denote success as getting a tail and failure as getting ahead. The probability of success, denoted as p, is 0.5 since the coin is fair and has an equal chance of landing on heads or tails. The probability of failure, denoted as q, is also 0.5.

Using the binomial probability formula: P(X = k) = [tex]C(n, k) * p^k * q^(n-k)[/tex], we can calculate the probability as follows:

Therefore, the probability of getting exactly one tail when a fair coin is tossed three times in succession is 0.375 or 37.5%.

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Answer:

Step-by-step explanation:

Let L and W represent the length and width of the field. Then the perimeter is given by ...

  P = 2(L +W)

Filling in the given information, we have ...

  320 = 2(L +W)

  L = W +48 . . . . . . the length is 48 ft longer than the width

Using the second equation in the first, we get

  320 = 2((W +48) +W)

  320 = 4W +96 . . . . . . simplify

  224 = 4W . . . . . . . . . . subtract 96

  56 = W . . . . . . . . . . . . .divide by 4

  L = 56 +48 = 104 . . . . find L using the above relation

The width of the field is 56 ft; the length is 104 ft.

The width of the playing field is 56 ft and the length is 104 ft.

To solve this problem, let's set up an equation using the information given. Let's say the width of the field is x ft. Since the length is 48 ft longer than the width, the length can be represented as x + 48 ft. The formula for the perimeter of a rectangle is P = 2(l + w), so we can set up the equation: 320 = 2(x + 48 + x). Now, we can solve for x by simplifying and solving the equation.

320 = 2(2x + 48)

320 = 4x + 96

4x = 320 - 96

4x = 224

x = 224/4

x = 56

So, the width of the field is 56 ft and the length is 56 + 48 = 104 ft.

To solve this problem, we must use the formula for the perimeter of a rectangle, which is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.

According to the question, the length is 48 ft longer than the width, therefore we could express the length as L = W + 48. The perimeter provided is 320 ft. Now we can plug these values into the perimeter formula.

320 = 2(W + 48) + 2W

After simplification, this formula becomes 320 = 4W + 96.

To isolate W, you subtract 96 from both sides to get: 320 - 96 = 4W + 96 - 96, which simplifies to 224 = 4W. Dividing both sides by 4 gives W = 56 ft. This is the width of the field. The length, then, is 56 ft + 48 ft = 104 ft (since the length is 48 ft longer than the width).

So, the dimensions of the field are 104 feet by 56 feet

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Answer:

Step-by-step explanation:

The function is a special relationship where each input has a single output.

We have C = {(9, 1); (8, -3); (7, 5); (-5, 3)}.

It's a function:

each values of x: 9, 8, 7, -5 has one value of y: 1, -3, 5, 3.

The doimain is set os x: {9, 8, 7, -5}.

The range is set of y: { 1, -3, 5, 3}.

F = {(x, y ) | x + y = 10}.

Domain: {10} Range: {10}

Answer:

2,760

Step-by-step explanation:

PLATO.

Answer:

x > -8

Step-by-step explanation:

First you distribute the -5 and get

-5x-35 < 10

Then you add 35 to both sides and get

-5x<45

Then dived by NEGATIVE 5 (since it is negative you flip the less than signs to greater than) and get

x> -8

Answer:

Step-by-step explanation:

MX = XN

5r² + 2r + 52 = 4r² + 12r + 27

5r² - 4r² + 2r - 12r + 52 - 27 = 0

r² - 10r + 25 = 0

(r - 5)² = 0

r - 5 = 0

r = 5

4r² + 12r + 27

4•5² + 12•5 + 27

4•25 + 60 + 27

100 + 60 + 27

187

The Second one

I hope I helped you.

Answer:

2

Step-by-step explanation:

➷ 45 minutes is 3/4 of the total time

A simple way to do this is to find 1/4 of the time

To do this, divide by 3:

45/3 = 15

15 minutes is 1/4 of the time

To find the whole time, multiply this value by 4:

15 x 4 = 60

Subtract the time already passed from this:

60 - 45 = 15

It will take her 15 more minutes to finish building her wall.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

case 1) Circle open parentheses x plus 2 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 4 translated 2 units right and 6 units down

Step-by-step explanation:

Verify the 4 Options

case 1) Circle open parentheses x plus 2 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 4 translated 2 units right and 6 units down

The equation of the circle is

[tex](x+2)^{2}+(y-6)^{2}=4[/tex]

The center of the circle is the point [tex](-2,6)[/tex]

The rule of the translation is

[tex](x,y)-------> (x+2,y-6)[/tex]

Applying the rule to the center

[tex](-2,6)-------> (-2+2,6-6)[/tex]

[tex](-2,6)-------> (0,0)[/tex]

Therefore

The translation results in a circle whose center is at the origin

case 2) Circle open parentheses x minus 1 close parentheses squared plus open parentheses y plus 2 close parentheses squared equals 4 translated 1 unit left and 2 units down

The equation of the circle is

[tex](x-1)^{2}+(y+2)^{2}=4[/tex]

The center of the circle is the point [tex](1,-2)[/tex]

The rule of the translation is

[tex](x,y)-------> (x-1,y-2)[/tex]

Applying the rule to the center

[tex](1,-2)-------> (1-1,-2-2)[/tex]

[tex](1,-2)-------> (0,-4)[/tex]

Therefore

The translation results in a circle whose center is not at the origin

case 3) Circle open parentheses x minus 2 close parentheses squared plus open parentheses y plus 3 close parentheses squared equals 4 translated 2 units right and 3 units up

The equation of the circle is

[tex](x-2)^{2}+(y+3)^{2}=4[/tex]

The center of the circle is the point [tex](2,-3)[/tex]

The rule of the translation is

[tex](x,y)-------> (x+2,y+3)[/tex]

Applying the rule to the center

[tex](2,-3)-------> (2+2,-3+3)[/tex]

[tex](2,-3)-------> (4,0)[/tex]

Therefore

The translation results in a circle whose center is not at the origin

case 4) Circle open parentheses x minus 3 close parentheses squared plus open parentheses y minus 5 close parentheses squared equals 4 translated 3 units left and 5 units up

The equation of the circle is

[tex](x-3)^{2}+(y-5)^{2}=4[/tex]

The center of the circle is the point [tex](3,5)[/tex]

The rule of the translation is

[tex](x,y)-------> (x-3,y+5)[/tex]

Applying the rule to the center

[tex](3,5)-------> (3-3,5+5)[/tex]

[tex](3,5)-------> (0,10)[/tex]

Therefore

The translation results in a circle whose center is not at the origin

Answer with Step-by-step explanation:

We are given an expression:

28 + x - 2n + 7 - n - 5x + 4

We have to find its equivalent expression

On combining the like terms of the above expression

28+4+7+x-5x-2n-n

= 39-4x-3n

= -3n-4x+39

According to Tyrone the equivalent expression was:

-3n - 5x + 39 + x

The error Tyrone made was:

A. Tyrone neglected to combine the x terms

Answer:

The answer is A

Step-by-step explanation:

Answer:

The area of a circular wrestling region with a 42 fr diameter is

A≈1385.44ft²

Answer:

Exponential Function

Step-by-step explanation:

The y-axis represents the number of Bacteria and x-axis represents the number of hours. If you observe closely you will see that the number of bacteria are doubling after each hour. For example, at time = 4 hours the number of Bacteria were about 50, at time = 5 hours the number of Bacteria were about 100 and at time = 6 hours the number of Bacteria increased to about 200.

This type of behavior is a property of exponential functions where we see a multiplicative rate of change in the values i.e. each value is a multiple of previous value. A rough model for this function would be:

[tex]f(x)=f(0)(2)^{x}[/tex]

Where, f(0) represents the number of bacteria at time = 0 hours i.e. number of Bacteria initially present and "x" represents the number of hours.

Answer: 275%

Step-by-step explanation:

Given : The current weight of the puppy : 2,250 grams

The weight of the puppy at the last visit = 600 grams

Increase in weight :-

[tex]2250\text{ grams}-600\text{ grams}=1650\text{ grams}[/tex]

Now, the formula to calculate the percentage increase is given by :-

[tex]\dfrac{\text{Increase in quantity}}{\text{Previous quantity}}\times100[/tex]

The percentage increase in weight is given by :-

[tex]\dfrac{1650}{600}\times100=275\%[/tex]

Hence, the percent increase in the puppy's weight  = 275 %.