f(x)=5x+7 and g(x)=2x+3 find a) `(f+g)(x)` b) `(f-g)(x)`

a. The value corresponding to surviving the year is $0, and the value corresponding to not surviving the year is -$90,000.

b. The expected value for the 33-year-old male purchasing the policy is -$579.06.

c. Yes, the insurance company can expect to make a profit from many such policies because the expected profit per 33-year-old male insured for 1 year is $408.06.

a. The monetary value corresponding to surviving the year is $0 because the individual would not receive any payout from the insurance policy if he survives. The monetary value corresponding to not surviving the year is -$90,000 because in the event of the individual's death, the policy pays out a death benefit of $90,000.

b. To calculate the expected value for the 33-year-old male purchasing the policy, we need to multiply the probability of each event by its corresponding monetary value and sum them up. The probability of surviving the year is 0.9988, and the value corresponding to surviving is $0. The probability of not surviving the year is (1 - 0.9988) = 0.0012, and the value corresponding to not surviving is -$90,000.

Expected value = (Probability of surviving * Value of surviving) + (Probability of not surviving * Value of not surviving)

Expected value = (0.9988 * $0) + (0.0012 * -$90,000)

Expected value = -$108 + -$471.06

Expected value = -$579.06 (rounded to the nearest cent)

c. The insurance company can expect to make a profit from many such policies because the expected value for the 33-year-old male purchasing the policy is negative (-$579.06). This means, on average, the insurance company would pay out $579.06 more in claims than it collects in premiums for each 33-year-old male insured for 1 year. Therefore, the insurance company expects to make an average profit of $579.06 on every 33-year-old male it insures for 1 year.

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Answer:

G=7

Step-by-step explanation:

Answer:

Springfield trust me it is the only one that makes sense

The degrees of freedom (df) for the within-groups scenario is 27.

In the F-test, which is used to compare variances between groups, the degrees of freedom consist of two components: the numerator df and the denominator df. The numerator df corresponds to the number of groups being compared, while the denominator df represents the total number of observations minus the number of groups.

In the given scenario, F(2,27) = 8.80 indicates that the F-test is comparing variances between two groups. The numerator df is 2, representing the number of groups being compared.

To determine the within-groups df, we need to calculate the denominator df. The denominator df is calculated as the total number of observations minus the number of groups. Since the denominator df is given as 27, it implies that the total number of observations is 27 + 2 = 29, considering the two groups being compared.

Therefore, the within-groups df is 27, as it represents the total number of observations minus the number of groups in the F-test.

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The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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When a researcher uses the Pearson product-moment correlation, two highly correlated variables will appear on a scatter diagram as a tightly clustered group of points that form a linear pattern.

The scatter diagram is a visual representation of the correlation between two variables, where one variable is plotted on the x-axis, and the other variable is plotted on the y-axis. If the two variables have a high positive correlation, then the points on the scatter diagram will form a cluster that slopes upwards to the right.

On the other hand, if the two variables have a high negative correlation, then the points will form a cluster that slopes downwards to the right. The tighter the cluster of points, the higher the correlation between the variables.

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Answer:

c bye  have a good day

Step-by-step explanation:

The probability that X, which follows a normal distribution with a mean (u) of 15.2 and a standard deviation (a) of 0.9, falls between 14.3 and 16.1 is approximately 0.6826, or 68.26%.

In a normal distribution, the area under the curve represents probabilities. To find the probability that X falls between 14.3 and 16.1, we need to calculate the area under the curve between these two values.

First, we convert the values to z-scores by subtracting the mean and dividing by the standard deviation. For 14.3, the z-score is (14.3 - 15.2) / 0.9 = -1. The z-score for 16.1 is (16.1 - 15.2) / 0.9 = 1.

Using a standard normal distribution table or a calculator, we can find that the cumulative probability for a z-score of -1 is 0.1587, and the cumulative probability for a z-score of 1 is 0.8413.

To find the probability between these two z-scores, we subtract the cumulative probability for the lower z-score from the cumulative probability for the higher z-score: 0.8413 - 0.1587 = 0.6826.

Therefore, the probability that X falls between 14.3 and 16.1 is approximately 0.6826, or 68.26%.

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The complete question is :

Assume that X has a normal distribution. The mean is u= 15.2 and the standard deviation is a=0.9. Find the probability that X is between 14.3 and 16.1

An object has mass 5 kg with a speed of 10 m/s has more kinetic energy.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A 5 kg object is moving with a speed of 10 m/s, and a 10kg object is moving with a speed of 5 m/s.

Now,

We know that;

⇒ Kinetic energy = 1/2 (mv²)

Where, m is mass and v is speed of the object.

So, For an object with 5 kg mass and moving with a speed of 10 m/s.

Kinetic energy = 1/2 (mv²)

                       = 1/2 (5 × 10²)

                       = 250 J

And, For an object with 10 kg mass and moving with a speed of 5 m/s.

Kinetic energy = 1/2 (mv²)

                       = 1/2 (10 × 5²)

                       = 125 J

Thus, An object has mass 5 kg with a speed of 10 m/s has more kinetic energy.

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Answer:

you divide 4 by 10 to get the answer

10÷4=2.5

Answer:

A C and D are not polynomial

Answer:

total cost = cost/hour x hours

$18.00 = ($4.50)(X hours)

X=4 hours

Step-by-step explanation:

total cost = cost/hour x hours

$18.00 / 4.50=4 hours

Answer:

No, mn is not even if m and n are odd.

If m and n are odd, then mn is odd as well.

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

Proof:

If m is odd, then it is in the form m = 2p+1, where p is some integer.

So if p = 0, then m = 1. If p = 1, then m = 3, and so on.

Similarly, if n is odd then n = 2q+1 for some integer q.

Multiply out m and n using the distribution rule

m*n = (2p+1)*(2q+1)

m*n = 2p(2q+1) + 1(2q+1)

m*n = 4pq+2p+2q+1

m*n = 2( 2pq+p+q) + 1

m*n = 2r + 1

note how I replaced the "2pq+p+q" portion with r. So I let r = 2pq+p+q, which is an integer.

The result 2r+1 is some other odd number as it fits the form 2*(integer)+1

Therefore, multiplying any two odd numbers will result in some other odd number.

------------------------

Examples:

So there is no way to have m*n be even if both m and n are odd.

The general rules are as follows

The proof of the other two cases would follow a similar line of reasoning as shown above.

If the numerator is equal to or greater than the denominator then the fraction will be an improper fraction thus 6 1/7 as 43/7 can show the fraction is improper.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

The fraction is the division of the two numbers but the division is not wholly complete.

A fraction x/y has two terms x is called a numerator and y is the denominator.

An improper fraction is a fraction when x ≥ y.

Therefore, 6 1/7 = 6 + 1/7

⇒ (42 + 1)/7 = 43/7

Since 43 > 7 so it will be an improper fraction.

Hence "If the numerator is equal to or greater than the denominator then the fraction will be an improper fraction thus 6 1/7 as 43/7 can show the fraction is improper".

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Answer:

1) FAP=70

2)DAB=90

it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

What is Integers?

A whole number is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+, and √2 are not. The set of integers consists of zero, positive natural numbers, also called integers or counting numbers, and their additive inverses.

To prove that there are no integers x, y, z such that x² + y² = 8z + 3, we can use the concept of modulo arithmetic.

First, let's consider the possible values of x² and y² modulo 8:

For any integer n, n² modulo 8 can only be 0, 1, or 4.

Now, let's examine the possible values of 8z + 3 modulo 8:

8z modulo 8 is always 0.

3 modulo 8 is equal to 3.

Therefore, the possible values of x² + y² modulo 8 can only be 0, 1, or 4, while 8z + 3 modulo 8 is equal to 3. Since 0, 1, and 4 are not equal to 3 modulo 8, there are no integers x, y, z that satisfy the equation x² + y² = 8z + 3.

Hence, it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

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\((4y-3)^2=72\implies \pm\sqrt{(4y-3)^2}=\pm\sqrt{72}\implies 4y-3=\pm\sqrt{72} \\\\\\ 4y=\pm\sqrt{72}+3\implies y=\cfrac{\pm\sqrt{72}+3}{4}\implies y= \begin{cases} \frac{\sqrt{72}+3}{4}\\\\ \frac{-\sqrt{72}+3}{4} \end{cases}\)

Answer: because the mean is 48

Step-by-step explanation:

the average (mean) is 48 so therefore its reasonable that half scored under half scored higher

Answer: 7:4

Step-by-step explanation:

To simplify the ratio 14:8, we find the greatest common divisor of 14 and 8, and then we divide 14 and 8 by the greatest common divisor.

The greatest common divisor that you can use to simplify 14:8 is 2. This means the answer to the ratio 14:8 simplified is:

7:4

Answer:

Its a linear function

Step-by-step explanation:

2 - 4 / 2 - 1

-2 / 1

-2

y - 2 = -2 ( x - 2 )

y -2 = -2x + 4

y = -2x + 6

From the given data, the equation formed as y = -2x + 6 so, the given function is linear.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

From the given data, the slope of function.

m = (2 - 4) /( 2 - 1)

m = -2 / 1

m = -2

The equation will be

y - 2 = -2 ( x - 2 )

y -2 = -2x + 4

y = -2x + 6

Thus, the given function is a linear.

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Answer:

turn 3% into decimal by diving 3 by 100

3/100=0.03

0.03X3460=103.80

3460-103.80=3356.20

3356.20-100=3256.2

The value of this golden ratio = 1/2 (1 + √5) = 1.618

Ratio:

Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion. We apply the concepts of ratio and proportion every day, for example, while dealing with money in business or when preparing any meal, etc. Students occasionally struggle to understand the difference between ratio and proportion.

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The Sam receives $0.96 back from the clerk.Sam receives $0.96 back from the clerk.

To calculate how much money Sam receives back from the clerk, we need to determine the total cost of the items purchased by the four friends and subtract it from the $20.00 that Sam gave to the clerk.

Each friend bought 1 bottle of juice and 3 bags of pretzels. The cost of a bottle of juice is $1.49, and the cost of a bag of pretzels is $0.85.

The total cost for each friend is:

1 bottle of juice = $1.49

3 bags of pretzels = 3 * $0.85 = $2.55

The total cost for all four friends is:

4 friends * ($1.49 + $2.55) = $4.76 * 4 = $19.04

Now, we subtract the total cost from the $20.00 Sam gave to the clerk:

$20.00 - $19.04 = $0.96.

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L = k/f, where k is the variational constant, is the formula for the inverse variation.

A mathematical relationship between two variables in which they vary in opposing directions is referred to as an inverse proportion, also known as an inverse relationship. When one variable increases while the other decreases, this is known as having inverse proportions.

Using the variables length of violin 'l' and frequency of vibration 'f'

If the length of violin 'l' is inversely proportional to the frequency of vibration 'f', this is expressed as:

l α 1/f

l = k/f

Hence the formula for the inverse variation is l = k/f where k is the constant of variation.

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