The probability that a 28-year-old male in the U.S. will d!e within one year is approximately 0.001395. If an insurance company sells a one-year, $20,000 life insurance policy to such a person for $135, what is the company's expectation? (Round your answer to the nearest dollar.)

The length of the other two sides are 4m and 5m

Using the Pythagorean theorem, we have that the square of the hypotenuse sides is equal to the sum of the squares of the other two sides of the triangle

This is represented as;

x² = y² + z²

From the information given, we have that;

z = 3m

x = x + 1

y = x

Substitute the values, we get

(x + 1)² = x² + 3²

Find the squares

(x + 1) ² = 9 + x²

expand the bracket

(x + 1) ( x + 1) - x² = 9

x² + x + x + 1 - x² = 9

collect like terms

2x = 8

x = 4

Then,

x + 1 = 5

x = 4

Hence, the values are 4m and 5m

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Answer:

6/7

Find a number that goes into both numbers ie 2 which goes in 6 and 7 times respectively

Answer:

2 gallons

Step-by-step explanation:

If Han used 1 1/2 gallons of paint to paint 3/5 of a shed, this can be expressed as;

1 1/2 gallons = 3/5 of the shed

3/2gallons = 3/5 of the shed

To find the number of gallons that will paint the whole shed, we will say;

x gallons = 1 shed

Divide both expressions

3/2/x = 3/5

3/2x = 3/4

2x * 3 = 3*4

6x = 12

x = 12/6

x = 2

Hence 2 gallons will be needed for the whole shed

Answer:

deportation

Step-by-step explanation:

deport raj

Answer:

Step-by-step explanation:

First of all, I'm going to assume that you accidentally left out an x-squared term on that -22. Going with that assumption, the average rate of change is the same thing as the slope between 2 points on that graph. It's parabolic, so there is no slope anywhere that is constant except for at a line that is tangent to a point. Our line is a secant line, not a tangent line. Since that is calculus and finds the instantaneous rate of change, I'm assuming that this is not calculus. The method is simple: plug 0 in for x in the function and you'll get a y value for that x; plug 6 in for x and you'll get a y value for that x. Then you plug both those coordinates into the slope formula to find the slope between the 2 points on the graph.

\(h(0)=-22(0)^2+4(0)+11\\h(0)=11--->(0,11)\\h(6)=-22(6)^2+4(6)+11\\h(6)=-757\)

That gives us the coordinate (6, -757). Plugging into the slope formula:

\(m=\frac{-757-11}{6-0}=\frac{-768}{6}=-128\)

Answer: 2 places to the right

Step-by-step explanation:

If i'm wrong sorry hope it helps

The answer of the given question based on probability  is (a) True , (b) False , (c) True , (d) False.

In probability theory, an event is a set of possible outcomes or results of an experiment or situation. It is a subset of the sample space, which is the set of all possible outcomes of the experiment.

Events can be classified as independent, mutually exclusive, complementary, or exhaustive, depending on their relationship to each other and to the sample space. The probability of an event A is the measure of the likelihood that A will occur, and it is usually denoted by P(A). The probability of an event is a number between 0 and 1, where 0 means that the event is impossible, and 1 means that the event is certain to occur.

(a) The probability that a blue marble is selected is 6/25. True (since there are 12 blue marbles out of a total of 11+27+12=50 marbles, the probability of selecting a blue marble is 12/50 which simplifies to 6/25).

(b) The likelihood of selecting a purple marble is certain. False (since the word "certain" means the probability is 1, but the probability of selecting a purple marble is 27/50 which is less than 1).

(c) It is unlikely that you will select a pink marble at random. True (since there are only 11 pink marbles out of a total of 50 marbles, the probability of selecting a pink marble is 11/50 which is less than 1/2).

(d) The probability that a pink marble is selected is 1/3. False (since the probability of selecting a pink marble is 11/50 which is not equal to 1/3).

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The time the balls roll when the total distance is 130 cm is 10 seconds.

let

d = total distance the ball rolls

t = time in seconds

The total distance is directly proportional to the time in seconds. Therefore,

d ∝ t

d = kt

where

∝  is the proportionality sign

k = constant of proportionality

when d = 78 cm, t = 6 seconds

Therefore, let's find the constant of proportionality.

k = d / t

k = 78 / 6

k = 13

The constanst of proportionality is known . Now let's find the time(seconds) when d = 130 cm .

d = kt

make t the subject of the formula

t = d / k

t =  130 / 13

t = 10 secs

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Answer:

A 5

Step-by-step explanation:

the rsc triangle is half the size of the mnc triangle

The mean of a set of numbers is the sum divided by the number of terms.

Answer: 22.9

Answer:

YOU ADD AND DIVIDE FOR THE MEAN

Step-by-step explanation:

add 20 + 20 + 20 + 22 + 22 + 24 + 26 + 26 + 26 equaling to = 206

divide by 9 equaling to = 22.88

Check the picture below.

so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.

\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)

now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.

So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark  happened between 0 and 5 seconds.

1.  Opposite angles are equal in measure.

and

2. Diagonals bisect each other.

3. Any two adjacent angles add up to 180 degrees.

Properties of rhombus:

1.   All sides are equal in length.

2.  Opposite angles are equal.

3.   Diagonals bisect each other at 90°.

4.   Diagonals are respective angle bisectors.

5.   Any two adjacent angles add up to 180 degrees.

6.  The area of the rhombus is a product of the lengths of the 2  diagonals divided by 2.  

Properties of rectangle:

1.  Opposite sides are equal in length.

2.  All the angles are 90°.

3.  Diagonals bisect each other.

4.  Any two adjacent angles add up to 180 degrees.

Hence, the common properties are

1.  Opposite angles are equal in measure.

and

2. Diagonals bisect each other.

3. Any two adjacent angles add up to 180 degrees.

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Answer:

Let A bc the first number

Let B be the second number

Let C be the third number

A= b+6

C= 3a

Step-by-step explanation:

Hope this helps :) Have a great day!!!!

Answer:

Step-by-step explanation:

2 goes into 8, four times, meaning 2+2+2+2 have 4 twos and this goes into 8. This is the same for the number 4

8 is a factor of 8*10 because 10 is multiplied by 8

The total factors of 8 are 1, 2, 4, and 8 and the greatest common factor of 8 and 10 is 2.

A number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.

Given:

The given statement is

8 is a factor of a number then  2 and 4 must also be factors of the number or not?

Also to find  8 is a factor of 8 * 10.

According to given question we have

a) 2  is a factor of 8. If 8 is divisible by 2, it leaves a quotient of 4 and remainder 0, and hence 2 is a factor of 8.

Similarly 4  is a factor of 8. If 8 is divisible by 4, it leaves a quotient of 2 and remainder 0, and hence 4 is a factor of 8.

The number 8 is exactly divisible by 1, 2, 4, and 8. Hence, the total factors of 8 by division method are 1, 2, 4, and 8.

b) GCF of 8 and 10 is the largest possible number that divides 8 and 10 exactly without any remainder. The factors of 8 and 10 are 1, 2, 4, 8 and 1, 2, 5, 10 respectively. There are 3 commonly used methods to find the GCF of 8 and 10 - Euclidean algorithm, long division, and prime factorization.

So, the greatest common factor of 8 and 10 is 2.

Therefore, the total factors of 8 are 1, 2, 4, and 8 and the greatest common factor of 8 and 10 is 2.

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Answer:

i am not really sure but

Step-by-step explanation:

Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Answer:

The predicted GPA is then y = 0.149(15) + 0.89 = 3.1

Step-by-step explanation:

Although you don't specifically say so, the equation you provide here is probably a "best fit" equation based upon data:  GPA versus the number of hours of study per week.

y = 0.149x + 0.89 and the number of study hours of interest is 15.

Answer:

The perimeter is 63 units (B).

Step-by-step explanation:

To find the perimeter, you must add up all the sides.

So...

13 + 9 + 8 + 5 + 4 + 13 + 5 + 6 = 63 units

The answer would then be B -> 63 units

The calculated measure of m∠PNM is 87 degrees

from the question, we have the following parameters that can be used in our computation:

The circle

Where, we have

PM = 360 - 64 - 122

Evaluate

PM = 174

Next, we have

m∠PNM = 1/2 * 174

So, we have

m∠PNM = 87

Hence, the measure of m∠PNM is 87 degrees

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Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..

To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.

Substituting t = 4 into the equation:

A = 39500(0.86)^4

A ≈ 39500(0.5996)

A ≈ 23726.20

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.

This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.

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The total amount to each person end up paying $20.54.

To find the total amount each person will pay, first calculate the 20% tip on the total bill and then divide the sum by the number of people.

To split the bill evenly among Raphael and his four friends, we first need to find the total cost including the 20% tip.

The tip is 20% of the original bill, which is equivalent to 0.20 x $85.60 = $17.12.

Therefore, the total cost of the bill with the tip is $85.60 + $17.12 = $102.72.

To split this evenly among the five people, we divide by 5:

$102.72 ÷ 5 = $20.54

So each person will end up paying $20.54.

20% of $85.60 is ($85.60 * 0.20) = $17.12

Add the tip to the total bill:

$85.60 + $17.12 = $102.72

Divide the total amount by the number of people (5): $102.72 / 5 = $20.54

Therefore, the answer is B. $20.54.

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What do you mean exactly

Answer:

1/2 = c*8 or c*8=1/2

Step-by-step explanation:

It says 1/2 is equal to which means 1/2 is on the side for one of the equations. It doesn't really matter. It says is equal to a number, c and eight. Its implying that you multiply c and 8 together because if it meant for another number to be multiplied then a third symbol would be in the operation.

Answer:

263.76

Step-by-step explanation:

Assuming the shaded area is the yellow area all we must do is find the area of the small circle and subtract it from the larger circle.

To do this we can use the area of a circle equation:

\(A=\pi r^2\)

first we need to find the radius of the large circle which is simply 4+6= 10

so the area would be:

\(A=\pi 10^2\\A=100\pi\)

then we find the area of the small circle is

\(A=4^2\pi \\A=16 pi\)

next we evaluate:

\(100\pi -16\pi =84\pi\)

Then replace pi with 3.14:

84 · 3.14 = 263.76

And you have your answer!

Hope this helps!

Answer:7 and a half days I belive.

Step-by-step explanation:

Answer:

d=-6.5

Step-by-step explanation:

2d+13=0

2d=-13

d= -13/2

d=-6.5

Answer:

6 hours and 45 minutes

Step-by-step explanation:

First, we need to find out how many gallons she can buy. Since we know she has $17.20, and 1 gallon = $2.15, we can divide 17.20/2.15 to get 8 gallons. Now, since we also know that her car goes 27 miles per gallon, we have to multiply 27 by 8 to get 216, which means she can drive for 216 hours in total. Since Meredith drives 32 miles per hour, we can divide 216 by 32 to get 6.75 hours, which is 6 hours and 45 minutes.

Answer:

Step-by-step explanation:

2.15 per gallon

27 miles per gallon

has 17.20

drives at speed of 32 per hour

how many hours can she drive

First we need to find how much gas she can buy. To do that, we need to solve:

\(\frac{17.20}{2.15}\) , which equals  8

So now we know that she can buy 8 gallons of gas.

Now we need to find out how much gas she will use going 27 miles

27 x 8 = 216

she can go 216 miles on 8 gallons of gas.

Now for the fun part

\(\frac{216}{32}\) = 6.75

So, I believe she can drive for 6 hours and 45 minutes.

Let me know if incorrect.

Hope this helps :)

7 is not included and hence it is depicted on the number line using an open dot. Hence, solution to the inequality is option B.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

The given inequality is:

x + 8 > 15

Subtracting 8 on both sides of the equation:

x + 8 - 8 > 15 - 8

x > 7

Here, 7 is not included and hence it is depicted using an open dot.

Hence, option B is the correct answer.

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The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

You can use the vertical line test on a graph to determine whether a relation is a function. If it is impossible to draw a vertical line that intersects the graph more than once, then each x-value is paired with exactly one y-value. So, the relation is a function.

Given, the function is f(x) = x² + 2x + 3

We have to find the graph of the function.

Let y = x² + 2x + 3

Put x = -3

y = (-3)² + 2(-3) + 3

= 9 - 6 + 3

= 9 - 3

y = 6

Put x = -2

y = (-2)² + 2(-2) + 3

= 4 - 4 + 3

y = 3

Put x = -1

y = (-1)² + 2(-1) + 3

= 1 - 2 + 3

= 4 - 2

y = 2

Put x = 0

y = (0)² + 2(0) + 3

= 0 + 0 + 3

y = 3

Put x = 1

y = (1)² + 2(1) + 3

= 1 + 2 + 3

= 3 + 3

y = 6

We can plot the graph using the points.

The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

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Answer:

-4.5

Step-by-step explanation:

look at the y-axis and line it up with the point

Answer:

-4.5

Step-by-step explanation:

thick brain