In a large population, 69% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that At least one of them has been vaccinated?

Answer:

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Given two legs of a right triangle and we need to find the hypotenuse.

Use Pythagorean theorem:

The matching choice is C.

Answer: 4.5 km>150 cm

Step-by-step explanation:

I think you meant km, because kilograms are not compatible with cm, unless it's kg/m to g/cm.

Kilometers are units of measurement, and so are centimeters, so It'd be accurate only then.

Answer:

\( \frac{8}{11} \)

Step-by-step explanation:

(4+5x-7)+(3-8+6x)=0

(-3+5x)+(-5+6x)=0

-8+11x=0

x=8/11

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

(-♾,♾) I'm pretty sure its like that.

Answer:

f(2) = 1

x = 0

Step-by-step explanation:

f(2) = 1 since y=1 when x=2.

f(0) = -3 since x=0 when y=-3

Answer:

see below

Step-by-step explanation:

50-3x=8

The first step is subtract 50 from each side

50-50-3x=8-50

-3x = -42

Then divide each side by -3

-3x/-3 = -42/-3

x = 14

Answer:

Because -3x is remain after eliminate 50 on both sides.

Step-by-step explanation:

I. Solve 50 - 3x = 8

            50 - 3x = 8

   -50  +50 - 3x = 8 - 50 => {when 50 is +50}

                  -3x = -42 => {when -50 + 50 = 0 and -3x = -3x}

                      x = (-42)/(-3)

                      x = 14

Hope that help :)

(x+5)² + (y+2)² = 4

(x - x0)² + (y - y0)² = r²

with circle center point (x0 ; y0) and r for circle radius

so you have to place the point (- 5 ; - 2) and graph the circle with r = 2

The data set is approximately periodic with a period of 3 and an amplitude of about 7.5.

The period is the length of time it takes for the data to repeat itself. In this case, the data repeats itself every 3 hours. The amplitude is the distance between the highest and lowest values in the data set. In this case, the amplitude is about 7.5 cars.

Hour | Number of cars

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

1     | 90

2     | 52

3     | 76

4     | 75

5     | 91

6     | 104

7     | 89

8     | 105

9     | 119

10    | 103

11    | 121

12    | 135

As you can see, the data repeats itself every 3 hours. The highest value in the data set is 135 cars, and the lowest value is 52 cars. The difference between these two values is 83 cars, which is about 7.5 times the average number of cars (90 cars). Therefore, the amplitude of the data set is about 7.5 cars.

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Answer:

25

Step-by-step explanation:

a^2+b^2=c^2

24^2+7^2=c^2

576+49=625

then square

25=c

Answer:

Step-by-step explanation:

The numbers add up to 40, and the circle has 360 degrees. 360 / 40 = 9, so each value of 1 will equal 9 degrees.

Pizza 3 * 9 = 27 degrees

Curry 11 * 9 = 99 degrees

F&C 9 * 9 = 81 degrees

Kebab 2 * 9 = 18 degrees

Other 15 * 9 = 135 degrees

Using the scale factor given, the amount of fence, to the nearest foot, that they will have to purchase is: 297 feet.

Let P be the perimeter of your yard. We know that P = 339 feet.

Let k be the scale factor for your friend's yard. We know that the perimeter of your friend's yard is 7/8 times the perimeter of your yard, so the perimeter of your friend's yard is:

7/8 * P = 7/8 * 339 = 296.625 feet

Since your friend's yard is similar to yours, the ratio of corresponding sides is k. Since the perimeter is the sum of all sides, we can write:

k * P = 296.625

Solving for k, we get:

k = 296.625 / P = 296.625 / 339 = 0.875

So the scale factor for your friend's yard is 0.875.

Now we can use the scale factor to find the length of fence your friend will need to purchase. The length of fence for your yard is P, so the length of fence for your friend's yard is:

k * P = 0.875 * 339 = 296.625 feet

Therefore, your friend will need to purchase approximately 297 feet of fence.

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Answer:

412.92

Step-by-step explanation:

\(A = P(1+\frac{r}{n} )^{nt}\)

A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years

We have P = 300

r = 4% = 0.04

n = 12 (compounded monthly)

t = 8

\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)

Answer:

Part A: D   Part B: B

Step-by-step explanation:

This question is so free

Answer:

  (1, 2), (-2, -1)

Step-by-step explanation:

We can choose x = 1 and find y:

  y = 2/1 = 2

  (x, y) = (1, 2)

We can choose x = -2 and find y:

  y = 2/(-2) = -1

  (x, y) = (-2, -1)

The cost per unit ounce is obtained by computing the quotient:

Where:

• c is the cost per unit ounce,

• C is the cost,

• N is the number of ounces that you get for C.

In this problem we have:

• C = $5.19,

• N = 16.8 ounces.

Computing the quotient, we get:

dollars per ounce.

Answer: B. $0.31

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

9514 1404 393

Answer:

Step-by-step explanation:

To put the equation in slope-intercept form, solve for y.

  -3x +4y = -12

  4y = 3x -12 . . . . . . add 3x

  y = 3/4x -3 . . . . . . divide by 4

This tells you the slope (coefficient of x) is 3/4, and the y-intercept is -3.

Points you can plot using this knowledge are ...

  (0, -3) . . . . y-intercept

  (4, 0) . . . . . x the first non-zero multiple of 4; makes the x-term an integer

The line will go through these two points.

_____

Additional comment

The given equation is in the form ...

  ax +by = c

In this form, the intercepts are easily found by setting the other term to zero.

  x-intercept: x = c/a . . . . = -12/-3 = 4

  y-intercept: y = c/b . . . . = -12/4 = -3

When the intercepts are integers, it can be easier to draw the line through them, than to mess with the slope calculation.

2. 4+ (-10)

3. 3+(-15)

4.2+5

5. (-10)+(-5)

Answer:

20/121

Step-by-step explanation:

\(ab=\left(\frac{2}{11} \right) \left(\frac{10}{11} \right) \\ \\ =\frac{(2)(10)}{(11)(11)} \\ \\ =\frac{20}{121}\)

Answer:

$1,061

Step-by-step explanation:

2% of 1000 is 20.

If 2% is compounded yearly, then

year one- $1,020

year two- $1,040.40

year three- $1,061.21

Rounded to the nearest whole dollar, Elaine would have $1,061 in her savings account after three years.

Answer:

1061

Step-by-step explanation:

Answer:

56sq. cm

Step-by-step explanation:

Area of a trapezoid = 1/2(a+b)h

a and b are the parallel sides

h is the height of the trapezoid

Find the f=diagram attached. from the diagram

a = 9cm

b = 5 + 9 + 5 = 19cm

h = 4cm

Substitute

Area of the trapezoid = 1/2 * (9+19)*4

Area of the trapezoid = 1/2 * 28 * 4

Area of the trapezoid = 28 * 2

Area of the trapezoid = 56sq. cm

The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Net operating profit = (22 million - 19 million)*(1 - 0.36)

                                = $1.92  million

EVA = net operating profit after taxes - invested capital*WACC

       = 1.92 million - 15 million*0.10

       = $0.42 million

Therefore, The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million.

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The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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a. The total interest paid on the 25-year mortgage is $110411.

b. The total interest paid on the 30-year mortgage is $135644.

What is the meaning of APR?

Annual percentage rate (APR) is the term used to describe the annual interest produced by a sum that is levied against borrowers or distributed to investors. APR is a percentage that expresses the actual yearly cost of borrowing money over the course of a loan or the income from an investment. This does not account for compounding and includes any fees or additional costs related to the transaction. Consumers can compare lenders, credit cards, or investment products using the APR as a benchmark figure.

Given that, the amount that is borrowed is $220,000.

If you borrow it for 25 years, you will pay $1,101.37 monthly.

The amount that you need to pay is (1,101.37×12×25) = 330411.

The total interest is =  (330411 - 220,000) = $110411.

If you borrow it for 30 years, you will pay $987.90 monthly.

The amount that you need to pay is (987.90×12×30) = 355644.

The total interest is =  (355644 - 220,000) = $135644

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Noah earned $160 last month, and his income tax rate is 10%. To calculate how much he earns after tax, we need to subtract the tax amount from his earnings.

The tax amount is equal to 10% of his earnings, which is:

0.1

×

160

=

16

0.1×160=16

Therefore, Noah's earnings after tax is:

160

−

16

=

144

160−16=144

Noah earns $144 after tax.

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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Answer:

A = $2937.5

Step-by-step explanation:

Given the following data;

Total gifts and scholarships = $900 + $250 + $300 + $1400 = $2850

Therefore, Principal = $2850

Time in years = 36 months/ 12 months = 3 years

Interest = 1% = 1/100 = 0.01

n = 360

To find the future value, we would use the compound interest formula;

\( A = P(1 + \frac{r}{n})^{nt}\)

Where;

Substituting into the equation, we have;

\( A = 2850(1 + \frac{0.01}{360})^{360*3}\)

\( A = 2850(1 + 0.000028)^{1080}\)

\( A = 2850(1.000028)^{1080}\)

\( A = 2850(1.0307)\)

A = $2937.5

Therefore, the graduate will have $2937.5 when he cashes in the CD.