2. an insurance salesman sells policies to 10 men, all of identical age and all of whom are in good health. according to his company's records, the probability that a man of this particular age will be alive in 20 years is 0.69. find the probability that in 20 years the number of the men that are still alive will be: a) exactly five b )more than 8 c)at least two ​

Answer:

210 dollars left

Step-by-step explanation:

Answer:

he has 210 dollars left

Step-by-step explanation:

250+35=285

285-75=210

Given:

We are required to evaluate the expression:

To do this, we simply substitute 3 for y into the expression and simplify

Hence, the expression evaluates to 0

Answer: 0

Mia's error in her thinking was that she interchanged the coordinate of both the x- and y-axis. Also, the point would actually be located at (5, 8).

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection across the x-axis is given by this transformation rule:

(x, y)                   →               (x, -y)

In Geometry, a reflection across the y-axis of a graph is given by this transformation rule (x, y) → (-x, y).

(x, y)                   →               (-x, y)

(-5, -8)                   →            (5, -8)

Next, we would apply another reflection across the x-axis of a graph as follows:

(x, y)                   →               (x, -y)

(5, -8)                   →            (5, 8)

In conclusion, we can logically deduce that Mia was wrong in her calculations.

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Answer:

I'm an island boii ️️

Answer:

27

Step-by-step explanation:

math

Answer:

13

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Sum of parallel sides of the trapezium = 10 cm

Distance between or Height of the trapezium = 2 cm

As we know,

Area of a trapezium

\( = \frac{1}{2} \times (sum \: of \: parallel \: sides) \times height\)

Therefore,

Area of the given trapezium will be,

\( = \frac{1}{2} \times 10 \: cm \times 2 \: cm\)

= 1 × 10 cm × 1 cm

\( = 10 {cm}^{2} \)

Hence,

The Area of the trapezium is 10 sq.cm (Ans)

Given :

To Find :

Solution :

We know that,

\({ \qquad \: \pmb{ \dfrac{1}{2} \times (sum \: of \: the \: parallel \: sides) \times height} = \pmb{Area_{(trapezium)}}}\)

Now, Substituting the given values in the formula :

\(\qquad { \dashrightarrow \: { \sf{ \dfrac{1}{2} \times 10\: \times 2 \: = {Area_{(trapezium)}}}}}\)

\(\qquad { \dashrightarrow \: { \sf{ \dfrac{1}{2} \times 20 = {Area_{(trapezium)}}}}}\)

\(\qquad { \dashrightarrow \: { \sf{ \dfrac{20}{2} = {Area_{(trapezium)}}}}}\)

\(\qquad { \dashrightarrow \: { \sf{ 10 = {Area_{(trapezium)}}}}}\)

⠀

Hence,

Answer:

\(\frac{50}{12}\pi\)

Step-by-step explanation:

To find the length of an arc, we need to find the circumference of the circle and multiply it by the degree given over 360 degrees (it might sound confusing but the equation isn't):

\(arc=2\pi r(\frac{x}{360})\)

(suppose that x is the given angle and 360 is in degrees)

Substitute the known values:

\(arc=2\pi (5) (\frac{150}{360}) \\=10(\frac{15}{36}) \pi \\=\frac{50}{12} \pi\)

And finally, don't forget to put the unit!

The coordinate of the point that represents the number of pens that Keisha buys and the total cost is (2, 4)

The given parameters are

Number of pen = 2

Unit price = $2

This means that the total amount spent is

Total amount = Number of pen * Unit price

Evaluate the product

Total amount = 2 * 2

Evaluate the product

Total amount = 4

So, the coordinate of the point that represents the number of pens that Keisha buys and the total cost is (2, 4)

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Answer:

24

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

First off we can see that there are 46 pencils - and 7 students - so we can divide the two

46/7 is not a whole number, so we need to find a number that can be multiplied by 7, and is right below 46.

If you multiply 7 by 6, you get 42, which is the highest you can get with multiply by 7, which is also below 46.

Now that we know that each student gets 6 pencils, we need to find out how many are left.

We can do 46 (total pencils) minus 42 (pencils given) to get a leftover of 4 pencils, so the answer is A.

Solving the inequalities is similar to solving equations.

Isolate the variable be doing basic operations on both sides and check the solution.

e.g.

5x + 9 < 4

subtracting 9 from both sides:

5x + 9 - 9 < 4 -9

5x < -5

dividing by 5 on both sides:

x < -1

Here , -1 is excluded,

So at number line draw open circle at -1,

then using below table we find solution on number line:

When graphing an inequality , you need to determine if the value that was solved for is in the solution set or not and which way to shade. If the sign is < or >, the value is not in the solution set and has an open circle to indicate that.  

If the sign is <= or >=, the value is included and will have a closed, or filled in, circle. See the table for guidelines.

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The most common error when entering a formula is to reference the wrong cell in the formula.

This error occurs when the cell references within a formula do not match the intended cells. It can lead to incorrect calculations and produce unexpected results. For example, if a formula is supposed to use data from cell A1 but mistakenly refers to cell B1, the calculation will be based on the wrong data. It is important to double-check and ensure that the cell references in a formula accurately reflect the intended data sources to avoid this common mistake.

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Answer:

El tercer ángulo en un triángulo será 16 ° si los otros dos ángulos son 112º y 52º.

El cuarto ángulo en un cuadrilátero será 213 ° si los otros tres ángulos son 105º, 32º y 10º.

Step-by-step explanation:

Spanish

La suma de los ángulos de un triángulo siempre es igual a 180 grados. Si conocemos dos de ellos, podemos encontrar el tercero. Dejemos que el tercero se denote por x entonces

112 ° + 52 ° + x = 180 °

x = 180 ° -112 ° -52 °

x = 16 °

El tercer ángulo en un triángulo será 16 ° si los otros dos ángulos son 112º y 52º.

La suma de los ángulos de un cuadrilátero siempre es igual a 360 grados. Si conocemos tres de ellos, podemos encontrar el cuarto. Dejemos que el cuarto se denote por y luego

105º + 32º + 10º + y = 360 °

o

y = 360 ° -105º- 32º- 10º

y = 213 °

El cuarto ángulo en un cuadrilátero será 213 ° si los otros tres ángulos son 105º, 32º y 10º.

English

The sum of angles in a triangle is always equal to 180 degrees. If we know any two of them we can find the third one. Let the third one be denoted by x then

112°+52°+x= 180°

x=  180°-112°-52°

x= 16°

The third angle in a triangle will be 16° if the other two angles are 112º and 52º.

The sum of angles in a quadrilateral is always equal to 360 degrees. If we know any three of them we can find the fourth one. Let the fourth one be denoted by y then

105º+ 32º+  10º+y= 360°

or

y = 360°-105º- 32º- 10º

y= 213°

The fourth angle in a quadrilateral  will be 213° if the other three angles are 105º, 32º and 10º.

Answer:

3/4

Step-by-step explanation:

1 batch of cookies is equal to 0.375. 3/4 a barrel of cookies is equal to 0.75. 0.75/0.375 is equal to 2. So 3/4 a barrel is 2 batches of cookies.

According to the given statement the greatest common divisor of 32, 40, and 24 is 8.

To distribute an equal amount of chocolates, caramels, and lollipops in bags, you need to find the greatest common divisor (GCD) of 32, 40, and 24.

1. First, find the GCD of 32 and 40:

  - List the factors of each number:

    - Factors of 32: 1, 2, 4, 8, 16, 32
    - Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
  - The highest common factor of 32 and 40 is 8.

2. Next, find the GCD of 8 and 24:

  - Factors of 8: 1, 2, 4, 8
  - Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
  - The highest common factor of 8 and 24 is 8.

The GCD is the largest number that divides all three numbers evenly.

In this case, 8 is the highest common factor, which means you can make bags with 8 chocolates, 8 caramels, and 8 lollipops each.

To distribute an equal amount of chocolates, caramels, and lollipops in bags, you should make bags with 8 chocolates, 8 caramels, and 8 lollipops each.

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Answer:

f(10) = -130

Step-by-step explanation:

f(x) = -x² - 3x

f(10) = -(10)² - 3(10)

f(10) = -100 - 30

f(10) = -130

The height of the special price tag is 3 inches.

We have,

To find the height of the special price tag, we need to use the formula for the area of a rectangle:

Area = length x width

In this case,

We know the width is 2.5 inches and the area is 7.5 square inches.

Let h be the height of the tag, then we can write:

7.5 = h x 2.5

To solve for h, we divide both sides by 2.5:

h = 7.5 ÷ 2.5

h = 3

Therefore,

The height of the special price tag is 3 inches.

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       Two angles are supplementary when their measures add up to 180 degrees.

       So what makes a supplementary angle supplementary​?

-> A supplementary angle is supplementary when it is 180° minus the measure of another angle.

     In an example, the supplementary angle of 94° is 86° because 180° - 94° = 86°

Answer:

Two angles are called supplementary when their measures add up to 180 degrees.

Step-by-step explanation:

Answer:

The slope will be y=-20/8x +17.5

Step-by-step explanation:

I hope this Helped

The value of du becomes 4 by integration.

According to the statement

we have given a two statement which are u - 4x and  u = x + 1.

And we have to find the value of du by the use of integration.

An Integral assigns numbers to functions in a way that describes the data.

So,

From u  - 4x

here du becomes by derivative

du - 4dx/du

du = 4dx/du.  -(1)

And in u = x + 1.

here du becomes

du = dx/du  -(2)

by comparing both terms from equation (1) and (2) we get the value of du

du = 4.

the value of du is 4.

So, The value of du becomes 4 by integration.

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To verify that the vector xp is a particular solution of the given nonhomogeneous linear system, we need to substitute xp into the system and check if it satisfies the equation.

The given nonhomogeneous linear system can be written in the form x' = Ax + f, where A is the coefficient matrix (2 1 1 -1) and f is the constant vector (-5 2). The vector xp = (1 3) is a particular solution if it satisfies the equation x' = Ax + f.

Substituting xp into the equation, we get:

x' = (2 1 1 -1) (1 3) + (-5 2)
  = (1 -1 2 -8)

Therefore, the left-hand side of the equation is:

x' = (1 -1 2 -8)

And the right-hand side is:

Ax + f = (2 1 1 -1) (1 3) + (-5 2)
       = (1 -1 2 -8)

Since the left-hand side is equal to the right-hand side, we can conclude that the vector xp = (1 3) is indeed a particular solution of the given nonhomogeneous linear system.

We have verified that the vector xp = (1 3) is a particular solution of the given nonhomogeneous linear system by substituting it into the equation and checking if it satisfies the equation.

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When testing at 5% significance level for null hypothesis the inference that can be made is that since observed F statistic is less than 95th percentile of the F2,74 distribution, we do not reject the null hypothesis.

In hypothesis testing, the F statistic is used to compare the variances between groups. In this case, we are testing whether the racial groups have the same mean test scores. The F statistic follows an F-distribution with degrees of freedom for the numerator (numerator df) equal to the number of groups minus one (k-1), and degrees of freedom for the denominator (denominator df) equal to the total number of observations minus the number of groups (N-k).

Given that the observed F statistic is less than the 95th percentile of the F2,74 distribution, it means that the obtained F value is not significant at the 5% level. Therefore, we do not have enough evidence to reject the null hypothesis, which states that the three racial groups have the same mean test score (Option OB).

The other options can be eliminated based on their contradicting statements. For example, Option OA states that we do not reject the null hypothesis even though the observed F statistic is greater than the 95th percentile, which goes against the usual practice in hypothesis testing. Similarly, Options OC, OD, OF, and OE make incorrect inferences based on the observed F statistic being greater or lesser than specific percentiles of the F2,74 distribution.

Hence, Option OB is the correct inference based on the given information.

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The probability of getting all tails when flipping a coin three times can be calculated using the multiplication rule of probability. For each flip of the coin, there are two possible outcomes: heads or tails.

Assuming the coin is fair, both outcomes are equally likely, so the probability of getting tails on any one flip is 1/2.

P(all tails) = P(tails on first flip) x P(tails on second flip) x P(tails on third flip)

= (1/2) x (1/2) x (1/2)

= 1/8

Therefore, the probability of getting all tails when flipping a coin three times is 1/8 or 0.125 when expressed as a decimal rounded to four decimal places.

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Answer:

Slope = \(-\frac{11}{7}\)

Step-by-step explanation:

Slope = \(\frac{rise}{run}\)

Slope = \(\frac{y2-y1}{x2-x1}\)

Slope = \(\frac{7+4}{-12+5}\)

Slope = \(\frac{11}{-7}\)

Slope = \(-\frac{11}{7}\)

Answer:

11/-7

Step-by-step explanation

- First you get you X1 and Y1 then X2 and Y2

-after getting that your problem should look like this:

7 minus negative 4

over negative -12  minus negative -5

which when subtracted will get you 11/-7!

please give brainliest!

The fourth-order Taylor polynomial approximation, e^(1/8) is approximately 2.775

To approximate the value of e^(1/8) using the fourth-order Taylor polynomial for e^9x at x=0, we can expand the function e^9x using its Taylor series centered at x=0 and keep terms up to the fourth order.

The Taylor series expansion for e^9x is given by:

e^9x = 1 + 9x + (9^2/2!) * x^2 + (9^3/3!) * x^3 + (9^4/4!) * x^4 + ...

approximate the value of e^(1/8), so we substitute x = 1/8 into the Taylor series expansion:

e^(1/8) ≈ 1 + 9(1/8) + (9^2/2!) * (1/8)^2 + (9^3/3!) * (1/8)^3 + (9^4/4!) * (1/8)^4

Simplifying this expression will give us the approximation:

e^(1/8) ≈ 1 + 9/8 + (81/2) * (1/64) + (729/6) * (1/512) + (6561/24) * (1/4096)

Calculating this approximation:

e^(1/8) ≈ 1 + 1.125 + 0.6328125 + 0.017578125 + 0.000823974609375

e^(1/8) ≈ 2.7750142097473145

Therefore, using the fourth-order Taylor polynomial approximation, e^(1/8) is approximately 2.775

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The fourth order Taylor polynomial approximation for e^(1/8) is approximately 1.06579.

The fourth order Taylor polynomial for e^9x at x=0 is:

f(x) = 1 + 9x + 81x^2/2 + 729x^3/6 + 6561x^4/24

To approximate e^(1/8), we substitute x=1/72 (since 1/8 = 9(1/72)):

f(1/72) = 1 + 9/8 + 81(1/8)^2/2 + 729(1/8)^3/6 + 6561(1/8)^4/24

f(1/72) = 1.06579

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Step-by-step explanation:

6=48

5=less

=5/6 × 48

=8×5

=40girls

Answer:

40

Step-by-step explanation:

i dont feel like explaining it but theres 40 girls

Answer:

The answer is 64 ounces.

Answer:

64 ounces

Step-by-step explanation:

1 pound = 16 ounces

4 * 16 = 64