An insurance policy on an electrical device pays a benefit of 4000 if the device fails during the first year. The amount of the benefit decreases by 1000 each successive year until it reaches 0. If the device has not failed by the beginning of any given year, the probability of failure during that year is 0.4. What is the expected benefit under this policy

Answer:

Show the table or make ur question a little more clear so I can help

Step-by-step explanation:

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer:

The probability of finding the entry in the period between 30 and 32 minutes is 5%.

Step-by-step explanation:

Given that the time required to find an entry is uniformly distributed between 0 and 60 minutes, it implies that 100% of the chances are in that period of time distributed equally. Therefore, since 100/60 is equal to 1.66, each minute has a 1.66% chance that the entry will be there.

Thus, since between minutes 30 and 32 there are 3 minutes in total (30, 31 and 32), to determine the probabilities of finding the entry in that period it is necessary to perform the following calculation:

1.66 x 3 = X

5 = X

Therefore, the probability of finding the entry in the period between 30 and 32 minutes is 5%.

Answer:

At 95% confidence limits for the true difference between the  average Miles per Gallon for the two models is -1.8210  to  4.1789

Yes 95 % confidence means  that there's conclusive evidence to indicate that one model gets a higher MPG than the other.

Step-by-step explanation:

                              Model A              Model B

Sample Size              50                          55

Sample Mean  x`         32                           35

Sample Variance  s²    9                            10

At 95 % confidence limits are given by

x1`-x2` ± 1.96 \(\sqrt{\frac{s^{2} }{n1} +\frac{s^{2}}{n2} }\)

Putting the values

32-35  ± 1.96  \(\sqrt\frac{9}{50}+\frac{10}{55}\)        ( the variance is the square of  standard deviation)

-3 ± 1.96 \(\sqrt{ \frac{495+500}{2750}\)

-3 ± 1.96( 0.6015)

-3 ± 1.17896

-1.8210; 4.1789

Thus the 95% confidence limits for the true difference between the  average Miles per Gallon for the two models is -1.8210  to  4.1789.

Yes 95 % confidence means  that there's conclusive evidence to indicate that one model gets a higher MPG than the other.

Answer:

Only Sample D is a function.

Step-by-step explanation:

All samples show a relationship.

Only Sample D shows a function since only in Sample D each element of the input, x, has only one output, y.

Answer:

e=4

Step-by-step explanation:

Answer:

452.16 in. or 144π if the answer needs to be in terms of pi.

Step-by-step explanation:

In this case, all of the information is given to you. You can determine this is a cylinder because of its circular bases. Your height is given on the side as 9in. Your radius is given on the base as 4in. You can tell that this value is the radius and not the diameter because the line only covers half of the circular base. If the line went from one edge to the other, you would need to divide the given value by 2. From there, you can just plug the numbers into the proper equation.

V = πr²h​

V = π(4)²(9)

V = 452.16 or 144π

Answer:

a number, r, added to 6

Step-by-step explanation:

a number, r, added to 6

Answer:

a number, r, added to 6

Step-by-step explanation:

a number, r, added to 6

Answer:

There are 60 tenths and 5 hundreths

the decimal form is 0.65

Step-by-step explanation:

The value of the variable 'w' for the given equation 7 ( w + 7 )³ = 7(6³)  is equal to w = -1.

As given in the question,

Given equation is equal to :

7 ( w + 7 )³ = 7(6³)

Divide both the side of the equation by 7 we get,

⇒ 7 ( w + 7 )³ / 7 = 7(6³) /7

⇒( w + 7 )³ = (6³)  

Take cube root both the side of the equation we get,

⇒∛( w + 7 )³ = ∛(6³)  

⇒ w + 7 = 6

Now subtract 7 from both the side of the equation we get,

⇒w + 7 - 7 = 6 - 7

⇒ w = -1

Therefore, the value of the variable 'w' for the given equation is equal to w = -1.

The complete question is:

Solve this equation:

7 ( w + 7 )³ = 7(6³)

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The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8) thus option (A),(B) and (D) are correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

As per the given equation,

3x - y = 1

Substitute, x = -2

3(-2) - y = 1

y = -7 thus  (-2,-7) satisfied.

Similarly (-1,-4) and (3,8) are also satisfied.

Hence "The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8)".

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For this problem, 0.25 in = 50 m. So

11 in = (11 in) • (50/0.25 m/in) = 2200 m

Alternatively, if 0.25 in = 50 m, that means 1 in = 200 m. So 11 in = 11 (200 m) = 2200 m.

Answer:

1/6

Step-by-step explanation:

Answer:

1/4× 2/3= 1/6

Please mark as brainliest!!!

Answer: 166.72 \(ft^{2}\)

Step-by-step explanation: math

Step-by-step explanation:

All you have to do here is use the surface area, or SA, equation.

Sa=2lw+2lh+2hw
sa=2(8.5)(3.2)+2(8.5)(4.8)+2(4.8)(3.2)

Sa=54.4+81.6+30.72

Sa=166.72

Hope this helped!

Answer:

A'(4, -3) ; T'(-1, 4)

Step-by-step explanation:

Multiply the coordinates by 1/2, or divide them by 2 to get the new points.

A(8, -6) ⇒ A'(4, -3)

T(-2, 8) ⇒ T'(-1, 4)

Answer:

c = 8.25

Step-by-step explanation:

31/4 = 7.75

-1/2 = -.5

7.75 - (-.5) = 8.25

Hopefully this helps you :)

pls mark brainlest ;)

Answer: c = 8.25

Step-by-step explanation:

Answer:

In general, to round to a certain place value, look at the digit to the right of that place value and make a decision. Example: 5.1837 to the nearest hundredth would be 5.18 (round down since 3<5 ), but to the nearest thousandth, it is 5.184 (round up because 7≥5 ).

Step-by-step explanation:

Answer:

Decay Rate = 17 percent

Step-by-step explanation:

1.00 - 0.83 = 0.17

Answer:

95.5°F

Step-by-step explanation:

Given the regression equation :

y = 1.8x - 76.9 ; the relationship between temperature (°F) and number of ice cream sold

y = number of ice cream sold

x = temperature (°F)

The temperature when 95 iccream cones are sold will be ;

Here, y = 95

Using the model :

95 = 1.8x - 76.9

95 + 76.9 = 1.8x

171.9 = 1.8x

Divide both sides by 1.8

171.9 / 1.8 = x

95.5°F = x

Hence, temperature when 95 cones of ice-cream are sold is 95.5°F

Using chain rule, the derivative of f(x) = 4√(8x³ + 2x⁴) is

f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

To find the derivative of the function f(x) = 4√(8x³ + 2x⁴), we can use the chain rule.

Let's break down the function into its components:

u(x) = 8x³ + 2x⁴ (inside function)

v(u) = 4√u (outer function)

To find the derivative, we apply the chain rule, which states:

(f(g(x)))' = f'(g(x)) * g'(x)

In this case, f(g(x)) = v(u(x)), and g(x) = u(x).

First, let's find the derivative of the inner function u(x):

u'(x) = 24x² + 8x³ (using the power rule for differentiation)

Next, let's find the derivative of the outer function v(u):

v'(u) = 4 * (1/2) * 1/√u = 1/√2u = 2/√u

Now, we can apply the chain rule:

f'(x) = v'(u(x)) * u'(x)

f'(x) = (2/√u) * (24x² + 8x³)

f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

The derivative of the function is  (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

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The positive integer between 1 and 100 that cannot be represented as a whole percent are 8, 15, 36 and many more.

The class has 99 students.

One student of the class is 1% of the class when rounded to the nearest whole percent. The actual percentage of one student is 1 / 99 × 100 = 100 / 99 = 1.0101010101%

99 of the students represents 100% of the students.

99 / 99 × 100 = 9900 / 99 = 100%

Therefore, the positive integer between 1 and 100 that cannot be represented as a whole percent is as follows:

36, 15, 8 and many more.

8 / 99 ×100 = 800 / 99 = 8.08080808081%

15 / 99 × 100 = 1500 / 99 = 15.1515151515 %

36 / 99 × 100 = 3600 / 99 = 36.3636363636 %

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Answer:

Four hundred thirdy seven and six hundred and eight thousandths.

437.068

Step-by-step explanation:

Hope it helps! =D

The number formed by these terms is 437.068.

To solve this problem, we first need to understand the place value system and what each term represents.

As per the place value system used in decimals:

- Hundreds: It is the third digit to the left of the decimal point and each unit represents 100.
- Tens: It is the second digit to the left of the decimal point and each unit represents 10.
- Ones: It is right next to the decimal point, all the digits to the left of it are the ones. Each unit represents 1.
- Hundredths: It is the second digit to the right of the decimal point and each unit represents 0.01.
- Thousandths: It is the third digit to the right of the decimal point and each unit represents 0.001.

In the given context, we know that there are 4 hundreds, 3 tens, 7 ones, 6 hundredths, and 8 thousandths.

To start, we calculate each term separately:

- 4 hundreds = 4 x 100 = 400
- 3 tens = 3 x 10 = 30
- 7 ones = 7 x 1 = 7
- 6 hundredths = 6 x 0.01 = 0.06
- 8 thousandths = 8 x 0.001 = 0.008

After evaluating each term separately, we sum them up together for the final answer:

- Sum = 400 + 30 + 7 + 0.06 + 0.008 = 437.068

Hence, the number formed by these terms is 437.068.

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The solution of the function 3f(1) - 4g(-2)  is -19.

The functions can be solved as follows;

f(x) = 7x - 4

g(x) = 11 - x²

Therefore, let's solve the composite function as follows:

A composite function is generally a function that is written inside another function.

Hence,

3f(1) - 4g(-2) = ?

f(1) = 7(1) - 4 = 7 - 4 = 3

g(-2) = 11 - (-2)² = 11 - 4 = 7

Therefore,

3f(1) - 4g(-2) = 3(3) - 4(7) = 9 - 28 = -19

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Answer:

2^1 = 2 -> last digit is 2

2^2 = 4 -> last digit is 4

2^3 = 8 -> last digit is 8

2^4 = 16 -> last digit is 6

2^5 = 32 -> last digit is 2

2^6 = 64 -> last digit is 4

2^7 = 128 -> last digit is 8

We can observe that the last digit follows a pattern of 2,4,8,6,2,4,8 and repeat.

Therefore, 2 to the power of 47 will have the same last digit as 2 to the power of (47 modulo 4) + 3

(47 mod 4) + 3 = 51 mod 4 = 3

The last digit of 2 to the power of 3 is 8

Therefore, the last digit of 2 to the power of 47 is 8.

Answer:

19/20 , 1 1/4 , 1 4/5

Step-by-step explanation:

1.8 = 1 4/5 (fraction)

1.8 converts to 18/10. This can be simplified twice, firstly by making it 9/5 since both 18 and 10 are divisible by two, but can be simplified further to 1 4/5

1.25 = 1 1/4 (fraction)

1.25 converts to 125/100. This can be simplified to 5/4 or 1 1/4

0.95 = 19/20 (fraction)

0.95 converts to 95/100. This can be simplified to 19/20

Ascending Order (smallest to largest)

smallest - 19/20

middle - 1 1/4

largest - 1 4/5

I believe this is the right answer, but haven't done fractions in a while so may want to double check to make sure

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.

Answer:

x>24

Step-by-step explanation:

Solve like a normal equation :)

-2x<-48

Now we divide.

-x<-24

Note: Whenever dividing by a negative, you have to flip the sign of the inequality!

x>24

Answer:

x<24

Step-by-step explanation:

take 7 from both sides of the equation

-2x+7-7<-41-7

-2x<-48

then divide both sides by -2 (when you do this the sign flips)

x>24