The composition of the policy holders of a life insurance company is: 50% standard, 40%preferred and 10% ultra-preferred. The probability that a standard policy holder dies next year is .4, the chance that a preferred policy holder dies next year is .2 and the chance that an ultra-preferred policy holder dies next year is .1. The proportion of policy holders who die next year (alternatively the probability a randomly selected policy holder dies next year) is equal to: Hint: Use the following: LEt D event of death of a policy holder; S standard policy holder; Prpreferred policy holder and U Ultra-preferred. Then note that D=[(D∩S)∪(D∩Pr)∪(D∩U)] Argue that P(D)=P(D∩S)+P(D∩Pr)+P(D∩U) Now complete the problem. Final answer should be a number; round to two decimals. Show that for any two events A and B,P(Ac∣B)=1−P(A∣B). Here as in class Ac is the complement of A

The statement and reasons which completes the two column table to prove that ∠BAC ≅ ∠CDB and ∠ACD ≅ ∠ABD, in the parallelogram ABCD can be presented as follows;

Statement \({}\)                                        Reasons

6. ΔACB ≅ ΔDCB \({}\)                            ASA congruence

7. ∠BAC ≅ ∠CDB\({}\)                             CPCTC

8. m∠ACD = m∠ACB + m∠DCB \({}\)     Angle addition postulate

12. m∠ACD = m∠ABD \({}\)                     Substitution

A parallelogram is a quadrilateral that has a pair of parallel and congruent facing sides.

The details of the reasons used to prove the congruence of the angles are presented as follows;

4. Reflexive property of congruence; The reflexive property states that a part or figure is congruent to itself

5. Alternate interior angles theorem; The alternate interior angles theorem states that alternate interior angles formed by parallel lines and a transversal are congruent.

6. Angle addition postulate; The angle addition postulate states that the sum of two adjacent angles is equivalent to the measure of the larger angle that they form together

7. Definition of congruent angles; Congruent angles are angles that have the same angular measurement

8. Substitution property; The substitution property states that if a = b, then b can substitute a in an equation and the equation remains correct or true.

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Answer:

well the value of x is 2 and the value of y is 1##

Step-by-step explanation:

I hope it will help you

Answer:

x=2

Step-by-step explanation:

4x=8

/4   /4

divide both sides by 4

x=2

Answer:

x = 2

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

15*40=600

The required, expression -7 + 24i with the form a + bi, we can see that the value of b is 24.

To find the value of b in the expression (3 + 4i)^2, we can simply expand the expression and identify the coefficient of the imaginary part.

(3 + 4i)² = (3 + 4i)(3 + 4i)

Using the FOIL method, we can multiply the terms:

= 3 * 3 + 3 * 4i + 4i * 3 + 4i * 4i

= 9 + 12i + 12i + 16i²

Since i² is defined as -1, we can substitute it:

= 9 + 12i + 12i - 16

= -7 + 24i

Comparing the expression -7 + 24i with the form a + bi, we can see that the value of b is 24.

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Complete question:

(3+4i)²

if the expression above is written in the form a+ bi, where a and b are real numbers, what is the value of b?

\(ANSWER:\)                 ☆ ⭐︎                        ☆                ⭐︎            ☆      

y=2x                  ☆                   ☆                  ☆               ★                ★      

Step-by-step explanation:

2 is the slope of the line (rise/run)

Hope it helps!

Answer:

c

Step-by-step explanation:

the graph shows a constant speed an no change in distance

Answer:

Look at the image

Step-by-step explanation:

All real numbers because it goes left and right infinity

The number of days for which Jaya can rent the car as calculated from the given data is 4 days.

Jaya is planning to drive 125 miles, replacing y's value and solving for x we get,

53.75x+0.12(125)≤230

53.75x+15≤230

53.75x≤230-15

53.75x≤215

x≤215/53.75

x≤4

Therefore , as calculated Jaya can rent the car for 4 days.

Inequality is a mathematical statement that uses the symbol of inequality to indicate the relationship between any two given expressions. Both sides of an inequality sign have different expressions.

It signifies that the expression on the left should be more or smaller than the expression on the right and the reverse is also true. Literal inequalities occur when the relationship between two algebraic expressions is defined using inequality symbols.

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y = 5x - 2

extra characters

If three finalists are to be selected by a drawing out of seven men and two women then the probability that all three finalists will be men is 5/12.

What is Probability?

Probability is the likeliness of happening an event among all the events possible.

The formula of calculating probability is

P = number of events possible/total outcomes.

The value of probability lies between 0 and 1. It cannot be negative.

According to the given question:

Seven men and two women are semifinalists in a lottery.

So, total outcomes = 7 + 2 = 9

From this three finalists are to be selected by a drawing

Probability of all three finalists being men is

= 7/9 * 6/8 * 5/7

= 5/12

Hence, the probability that all three finalists will be men is 5/12.

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Answer:

the answer is 95

Step-by-step explanation:

hope this helped :)

Answer:

95°

Step-by-step explanation:

180° - 85° = 95°

It's what I got

Answer:

Modeling the situation with a quadratic equation, it is found that:

The maximum height of the ball is of 60.2 feet.

The ball hits the ground after 3.39 seconds.

Considering the gravity, the height of the ball, after t seconds, is given by the following quadratic equation.

In which:

is the initial velocity.

is the initial height.

In this problem:

Height of 8 feet, thus .

Initial velocity of 32 feet per second,  

The equation is:

Which is a quadratic equation with .

The maximum height is the output of the vertex, which is:

Then, with the coefficients of this question:

The maximum height of the ball is of 60.2 feet.

It hits the ground at t for which , thus:

We want the positive value, so:

The ball hits the ground after 3.39 seconds.

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Step-by-step explanation:

Answer:

Step-by-step explanation:

\(.\frac{5}2} w-11 > =31\)

or \(.\frac{5}{2} w +11 > =31\)

there can be another way to solve the situtation

No, Isaiah is incorrect. The greatest common factor (GCF) of the polynomial a^3 - 25a^2b^5 - 35b^4 is not 5a^2.


To determine the GCF of a polynomial, we need to find the highest power of each variable that is common to all terms. In this case, the polynomial consists of three terms: a^3, -25a^2b^5, and -35b^4.

To find the GCF, we identify the highest power of each variable that appears in all terms. In this polynomial, the highest power of 'a' is a^3, and the highest power of 'b' is b^5. However, the coefficient -25 in the second term does not contain a common factor of 5 with the other terms. Therefore, 5a^2 is not the GCF of the polynomial.

To determine the GCF, we need to find the common factors among all terms. In this case, both 'a' and 'b' are common factors among all terms. The highest power of 'a' that appears in all terms is a^2, and the highest power of 'b' that appears in all terms is b^4. Thus, the GCF of the polynomial a^3 - 25a^2b^5 - 35b^4 is a^2b^4.

In summary, Isaiah is incorrect in identifying the GCF as 5a^2. The correct GCF of the polynomial a^3 - 25a^2b^5 - 35b^4 is a^2b^4.

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1. In addition to the RAND function, Excel functions can be used to create random numbers from a variety of probability distributions is false.

2. If the possible values of a probability distribution are along a continuum, the distribution is discrete  is false.

Given that,

We have 2 statements which we have to find that they are true or false.

We have

1.1. In addition to the RAND function, Excel functions can be used to create random numbers from a variety of probability distributions.

2. If the possible values of a probability distribution are along a continuum, the distribution is discrete.

Take the First statement:

1. In addition to the RAND function, Excel functions can be used to create random numbers from a variety of probability distributions is false.

Because RAND function only generate the random number between 0 to 1

2. If the possible values of a probability distribution are along a continuum, the distribution is discrete  is false.

Because probability diatdistribuis discrete if it's possible value fall along all discrete value

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Answer:

the answer is 4 because i rounded down. since its 3

Step-by-step explanation:

The acceleration of gravity on the surface of planet Nos'kere is about 21.16 m/s².

Since we know that,

The formula for the period of a pendulum is,

⇒ T = 2π√(L/g)

where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

We can rearrange this formula to solve for g,

⇒ g = 4π²L/T²

Substituting the given values, we get,

⇒ g = 4π²(3.4 m)/(2.9 s)²

⇒ g ≈ 21.16 m/s²

Therefore,

On the surface of the planet Nos'kere, gravity accelerates at a rate of around 21.16 m/s².

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It is not impossible to construct a frame for a finite population or a target population, but it is impossible to construct a frame for a sampled population.

A frame is a list or map of all the units in a population, which is used to select a sample for a survey or study. If a population is finite, it is possible to list all the units in the population and create a frame. Similarly, if the target population is well-defined and can be identified, a frame can be constructed.

However, if the population is sampled, the frame cannot be constructed because the population is unknown and constantly changing. Therefore, it is impossible to construct a frame for a sampled population.

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The complete question is :

Is it impossible to construct a frame for a sampled population, a finite population, or a target population?

Option B is correct answer i.e., the probability that Kari's teams will win both games is 56%.

To calculate the probability that Kari's teams will win both games, we need to multiply the probability of winning each game.

So,

P(softball win) = 0.7

P(basketball win) = 0.8

P(both win) = P(softball win) * P(basketball win)

= 0.7 * 0.8

= 0.56

Therefore, the probability that Kari's teams will win both games is 56%.

Answer: 56%.

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Answer:

right side up

Step-by-step explanation:

2 questions  

Answer:

1) 25.12

2) ((4/3)*π*r^3)/2

Step-by-step explanation:

1) formula of the volume of a cylinder is: r^2 * π * h = 2/1 * π * 8 = 25.12

2) diameter = side of the square = 2r

so the radius is r

finally formula of the volume of a hemisphere: ((4/3)*π*r^3)/2

PLEASE GIVE BRAINLIEST

==============================================================

Explanation:

Select any two points from the diagonal line. I'll pick (0,-10) and (2,-4).

Use these points in the slope formula

m = (y2 - y1)/(x2 - x1)

m = (-4 - (-10))/(2 - 0)

m = (-4 + 10)/(2 - 0)

m = 6/2

m = 3

The slope is 3.

The y intercept is b = -10 since this is the location where the diagonal line crosses the vertical y axis.

The values m = 3 and b = -10 have us go from y = mx+b to y = 3x-10

Answer: Quadrant III

Step-by-step explanation:

The slope is negative and the y-intercept is positive.

This means that it is impossible for both x and y to be negative, and thus it does not pass through Quadrant III

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in one single step, I'll start off with that.

We can first figure out what it says and make an algebraic equation. We can see what language the question uses and elaborate on that to create our equation.

\(5x-5<6x+2\)

We can use algebra to simplify the equation so that we can solve for it.

\(-5<x+2\\-7<x\\x>-7\)

We can check if this is correct by testing a few numbers from that range, I'll take -5 and 2.

\(5(2)-5<6(2)+2?\\10-5<12+2?\\5<14\)

We've proven that 2 is working.

\(5(-5)-5<5(-5)+2?\\-25-5<-25+2?\\-30<-23\)

We've also proven that -5 works.

We can now say that we've solved the problem, the solution of the problem would be x>-7.

Cheers!

1. Both segments have the slopes = 1/2.

2. Slope of CD = -1/3.

Slope of CD = -1/3.

Slope of zipline = -1/3.

3. ΔAHE, ΔBID, and ΔCGF are the slope triangles.

Slope of the line = 1/2.

4. See attachment for the slope triangles drawn.

The slope of the line = 3/5

A slope triangle can be described as an imaginary triangle that is drawn on a coordinate plane, whereby, the hypotenuse of the triangle is the line we are interested in finding the slope, and the legs represent the rise and run of the line that is used to calculate the slope.

The slope formula = rise/run.

1. Slope of segment RT = rise/run = 2/4 = 1/2

Slope of segment TV = rise/run = 1/2

The slopes of both segments are equal.

2. Choosing points C and D, the slope of CD = rise/run = -1/3.

Choosing points B and C, the slope of CD = rise/run = -2/6 = -1/3.

The slope of the zipline is: -1/3.

3. The slope triangles are ΔAHE, ΔBID, and ΔCGF.

Slope of the line = rise/run = 2/4 = 1/2.

4. The slope triangles drawn is in the image attached below.

The slope of the line = rise/run = 3/5

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Step-by-step explanation:

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Probability of getting at least 34 successes in a sample of 83 with a population proportion of 0.47 using the normal approximation is approximately 0.1056 or 10.56%.

To use the normal approximation, we need to check if the sample size and the population proportion satisfy the conditions of the Central Limit Theorem. In this case, since n*p = 39.01 and n*(1-p) = 43.99 are both greater than 10, we can assume that the sampling distribution of X is approximately normal.

To find P(X ≥ 34), we can use the normal distribution with mean\(µ = n*p = 39.01\) and standard deviation σ = sqrt(n*p*(1-p)) = 4.01. Then, we need to standardize the value of X using the formula z = (X - µ) / σ, which gives:

z = (34 - 39.01) / 4.01 = -1.25

Using a standard normal table or calculator, we can find the probability of z being less than -1.25, which is equivalent to the probability of X being greater than or equal to 34, as:

P(Z < -1.25) = 0.1056

Therefore, the probability of getting at least 34 successes in a sample of 83 with a population proportion of 0.47 using the normal approximation is approximately 0.1056 or 10.56%.

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