The set of life spans of an appliance is normally distributed with a mean Mu = 48 months and a standard deviation Sigma = 8 months. What is the z-score of an appliance that stopped working at 64 months? â€""2 â€""1 1 2.

Answer:

the answer is 1/-4

Step-by-step explanation:

hope it helps:)

The recursive formula for the predicted number of speeding tickets issued each year in Middletown, starting from 2012 with an initial count of 190 tickets and growing by 10% each year, can be written as follows: N(year) = 1.1 * N(year - 1).

The recursive formula for the predicted number of speeding tickets each year is based on the assumption of exponential growth, where the number of tickets issued increases by 10% each year.

Let's denote N(year) as the predicted number of speeding tickets during a particular year. According to the given information, in the year 2012, Middletown issued 190 speeding tickets, which serves as our initial count or base case.

To calculate the number of tickets in subsequent years, we multiply the previous year's count by 1.1, representing a 10% increase. Therefore, the recursive formula for the predicted number of speeding tickets is:

N(year) = 1.1 * N(year - 1).

Using this formula, we can determine the predicted number of speeding tickets for any given year by recursively applying the growth rate of 10% to the previous year's count.

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Answer:

1)5873 x 4=23492

2)5000 x 4=20000

3)800 x 4=3200

4)70 x 4=280

5)3 x 4=12

Step-by-step explanation:

The graph of the linear function y = 7.50x has a slope of 7.50 and a y-intercept is 0

The equation is given as:

y = 7.50x

The above equation is a linear equation

A linear equation is represented by y = mx + c

Where m represents the slope and c represents the y-intercept

By comparison, we have:

The slope is 7.50 and the y-intercept is 0

See attachment for the graph of y = 7.50x

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Answer:

\( \sqrt{81 - 36} \\ = \sqrt{45 } \\ = 3 \sqrt{5 } \\ = 6.71\)

The length of the third side of the triangle will be 6.71 units.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The length of the third side of the triangle will be

Let x be the length of the third side of the triangle. Then we have

9² = 6² + x²

81 = 36 + x²

x² = 45

x = 6.708

x ≅ 6.71 units

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Let f : A → B and g : B → C be functions. It is to be proved that if g ◦ f is surjective and g is injective then f is surjective. The proof for this can be given as follows:

Proof:  Suppose g ◦ f is surjective and g is injective. We need to prove that f is surjective. Let c ∈ C. Since g ◦ f is surjective, there exists some a ∈ A such that g(f(a)) = c.

Since g is injective, for each c ∈ C, there exists at most one b ∈ B such that g(b) = c. Let B' = g(B) and C' = g(C).

We have f(A) ⊆ B and B ⊆ B', so f(A) ⊆ B'. Thus, we have g(f(A)) ⊆ C'. It follows that g(f(A)) = C', since g ◦ f is surjective.

We now claim that f(A) = B'. Since g is injective, it follows that B' = g(B) = g(f(A)).

Thus, we have g(B) = C'. Since g is injective, it follows that B = f(A).

This proves that f is surjective.

this is required explanation of this problem.

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The tangent of y(x) at x = 1 is y'(1) = 4 + C₁, and the value of f(1) is 5, we can solve for C₁ to get C₁ = 1. Therefore, the function y(x) = x⁴ / 4 + x + C₂, where C₂ is another constant.

The given equation is  f (x) = 5, and it is the tangent of the function y = x³ / 3 at x = 1.To get y = x (x² / 2 + C), we integrate the second derivative of y with respect to x.∫(d²y/dx²)dx = ∫(12x²)dx => y = 4x³ + C₁ Solve for C₁ by applying the point-slope equation at the point x = 1:f(1)

= 5

= y(1)

= 4(1)³ + C₁

=> C₁ = 1Therefore, the equation of y is: y = 4x³ + 1.For a more in-depth and better explanation, here are 150 words: A second derivative represents the rate of change of the first derivative with respect to x.

Therefore, if we have a second derivative of y with respect to x, we can integrate it twice to get a function of y with respect to x. Given y''(x) = 12x², we can integrate it once to obtain y'(x) = 4x³ + C₁, where C₁ is a constant. We integrate y'(x) once again to get y(x) = x⁴ / 4 + C₁x + C₂, where C₂ is another constant. Now, to find C₁ and C₂, we need to use the fact that the function f(x) = 5 is tangent to y(x) at x = 1.

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The tangent of y(x) at x = 1 is y'(1) = 4 + C₁, and the value of f(1) is 5, we can solve for C₁ to get C₁ = 1. Therefore, the function y(x) = x⁴ / 4 + x + C₂, where C₂ is another constant.

The given equation is  f (x) = 5, and it is the tangent of the function

y = x³ / 3 at x = 1.

To get y = x (x² / 2 + C),

we integrate the second derivative of y with respect to x.

∫(d²y/dx²)dx = ∫(12x²)dx

=> y = 4x³ + C₁

Solve for C₁ by applying the point-slope equation at the point

x = 1:f(1)

= 5

= y(1)

= 4(1)³ + C₁

=> C₁ = 1Therefore, the equation of y is: y = 4x³ + 1

.For a more in-depth and better explanation, here are 150 words: A second derivative represents the rate of change of the first derivative with respect to x.

Therefore, if we have a second derivative of y with respect to x, we can integrate it twice to get a function of y with respect to x.

Given y''(x) = 12x²,

we can integrate it once to obtain

y'(x) = 4x³ + C₁, where C₁ is a constant.

We integrate y'(x) once again to get

y(x) = x⁴ / 4 + C₁x + C₂, where C₂ is another constant.

Now, to find C₁ and C₂, we need to use the fact that the function

f(x) = 5 is tangent to y(x) at x = 1.

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Answer:

8x-8=16 is the answer after combining like terms

Answer:

x=3

Step-by-step explanation:

8x-8=16

8x=24

x=3

:)

The approximation of the irrational number, according to the question, is 11.31.

Any actual figure that can't be written as the ratio between two integers, p/q, where both p and q also are integers, is referred to as an irrational number. For instance, it is impossible to represent the integral of 2 as a decimal or a fraction.

The Greeks recognised that a square with sides that are each one measure length has a diagonal which length is irrational. The diagonal's length matches the square root of two according to the Pythagorean Theorem. The denominator of 2 is hence illogical.

\(\sqrt{128}\)

Transform the Expression :

\(\sqrt{8^2 }\)×\(\sqrt{2}\)  

Simplify the expression :

\(8\sqrt{2}\)

Round \(8\sqrt{2}\) =

11.31

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The Complete Question :

Simplify the irrational number \(\sqrt{128}\)  ; then estimate it to two decimal places.

1. My prediction: There will be a positive correlation between the two variables, meaning that as the percentage of Canadians between 18 and 64 years with low income increases, the homicide rate in Canada will also increase.

2. Report Raw data and the average score for each variable:

  Year | Homicide rate per 100,000 | Percentage of Canadians with low income (18-64)

  ------|------------------------|-----------------------------------------------

  2015 | 1.45 | 13.4

  2016 | 1.68 | 13.9

  2017 | 1.80 | 13.5

  2018 | 1.80 | 12.8

  Average Score:

  Year | Homicide rate per 100,000 | Percentage of Canadians with low income (18-64)

  ------|------------------------|-----------------------------------------------

  2015 | 1.45 | 13.4

  2016 | 1.68 | 13.9

  2017 | 1.80 | 13.5

  2018 | 1.80 | 12.8

  Mean | 1.6825 | 13.4153

  Standard Deviation | 0.1919 | 0.5264

3. Scatter plot of the two variables:

  [Image]

4. The correlation coefficient value obtained is r = 0.753. This means that there is a positive correlation between the two variables. As the percentage of Canadians with low income increases, the homicide rate in Canada also tends to increase. The correlation coefficient value of 0.753 indicates a strong positive correlation between the two variables.

5. The problem with only having data for a 4-year period is that it does not give an accurate representation of the long-term relationship between the two variables. In order to make reliable generalizations about the relationship between homicide rate and the percentage of Canadians with low income, a larger sample size covering a longer time period is required.

6. There might be a correlation between these two variables because low income is associated with various stressors, such as financial hardship, inadequate housing, and poor health. These stressors, in turn, can lead to increased crime rates and other negative social outcomes. The correlation coefficient of 0.753 suggests that there may be three potential avenues of cause and effect between the two variables: (1) increased stress and hardship may lead to increased crime rates, (2) increased crime rates may lead to increased poverty, and (3) there may be some underlying factors that are causing both the increase in crime and poverty.

7. You cannot examine this relationship in an experimental study because it would be unethical to manipulate individuals' income levels or exposure to violence for the sake of a study. Furthermore, experimental studies cannot establish causation between variables, as there may be other uncontrolled factors that affect the relationship between variables.

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Answer:

0.5+0.75=0.80

now

1+1=2

2+0.80=2.89

Answer:

.25

Step-by-step explanation:

its very easy btw you shouldn't have needed to post it just use a calculator.

The statement If a simple random sample is chosen with replacement, each individual has the same chance of selection on every draw is True.

If a simple random sample is chosen with replacement, it means that after each selection, the chosen individual is placed back into the population before the next selection is made. In this case, each individual in the population has the same chance of being selected for every draw.

The process of replacing the selected individual ensures that the selection probabilities remain constant throughout the sampling process. As a result, each individual has an equal probability of being chosen on each draw, making the statement true.

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To solve the triangle using the Law of Sines, we can use the following formula:

\(\(\frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}\)\(\frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}\)\)

Given that \(\(\angle A = 38^\circ\), \(\angle C = 73^\circ\), and \(b = 19\),\) we can substitute these values into the formula and solve for the remaining sides \(\(a\) and \(c\).\)

\(\(\frac{a}{\sin(38^\circ)} = \frac{19}{\sin(B)}\) (1)\)

\(\(\frac{c}{\sin(73^\circ)} = \frac{19}{\sin(B)}\) (2)\)

From equation (1), we can solve for \(\(\sin(B)\):\)

\(\(\sin(B) = \frac{19}{a} \cdot \sin(38^\circ)\)\)

Substituting this value into equation (2), we can solve for \(\(c\):\)

\(\(\frac{c}{\sin(73^\circ)} = \frac{19}{\frac{19}{a} \cdot \sin(38^\circ)}\)\)

Simplifying, we get:

\(\(c = a \cdot \frac{\sin(73^\circ)}{\sin(38^\circ)}\)\)

Now we have expressions for both \(\(a\) and \(c\).\)

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Answer:, Volume of triangular prism = (1/2) bh × L.

Answer:

he can buy 4 sheets of paper to print 16 pages

he will have 0.10 cents left

Step-by-step explanation:

With each piece of paper, he can print 4 pages

He has a full dollar

1/0.25 = 4

he can print 4 pages because the last 10 cents will not be enough to print another page

4 * 4 = 16

He will not be able to print all the pages

The law of conservation of energy and momentum can be used to construct the equation that connects the initial release height of block x (hx) and the speed of the two-block system following the collision (v s).

Block x's initial kinetic energy (0.5 * m x * v x2) and potential energy (m x * g * hx) are both equal to the total kinetic energy of both blocks after the collision (0.5 * (m x + m y) * v s).

Combining everything, we get the following equation:

m x * g * hx + 0.5 * m x * v x2 = 0.5 * (m x + m y) * v s2.

where g is the acceleration brought on by gravity, v x is the starting speed of block x, and m x and m y are the masses of blocks x and y.

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Answer:

if it's not 5 then P would be 5/6 bc there is only 5 more left if you take out 1.

Answer:

2,075 = 5 × 5 × 83

√2,075 = 5√83 = about 45.55

The probability is 0.96 that a randomly selected camper does not like to have a cookout, based on the given information and the complement rule of probability.

To determine the probability that a randomly selected camper does not like to have a cookout, we need to find the complement of the event C (the event that the camper likes to have a cookout).

Looking at the Venn diagram, we see that the probability of event C is 0.04 (represented by the intersection of circles C and A). Therefore, the probability of the complement of event C (not liking to have a cookout) is equal to 1 minus the probability of event C.

1 - 0.04 = 0.96

Hence, the probability that a randomly selected camper does not like to have a cookout is 0.96.

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Given

To find:

The average speed of Julian.

Explanation:

It is given that,

That implies,

Therefore,

Hence, the average speed of Jean is 11 km/h.

The probability that one of the scores in the sample is less than 1484 is 0.2437 .

a)Given that mean u = 1403

standard deviation σ = 200

sample size n = 32

P(x>1484) = P(X-u/σ > 1484-1403/200)

                = P (z > 0.405)

P(x>1484) = 0.2437 .

hence the probability that one score is greater than 1484 is 0.405 .

b) Now we have to find the average of the scores of 48 samples.

P(x>1484)

= P(x-μ/ σ/√n> 1484-1403 /200/√48)

= P(z>2.805.)

Now we will use the normal distribution table to calculate the p value to be 0.002516.

p-value = 0.0025

Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.

They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.

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Answer:

1/n3

Step-by-step explanation:

its the third one

Answer:

3A = 3(1 1/2) = 4 1/2

Step-by-step explanation:

2A + 4B = 5

A = 3B

2(3B) + 4B = 5 [substitute the A for the 3B]

10B = 5 so B = 1/2 [now plug the info in]

2A + 4(1/2) = 5

2A + 2 = 5 [subtract 2 from both sides of the equation]

2A = 3  [divide by 2 to isolate A]

A = 3/2  [now plug in the answers to check your work]

2(3/2) + 4(1/2) = 5

6/2 + 4/2 = 3 + 2 = 5

Answer:

10 - 3 is 7 lol which number do you want us to subtract 10 from

With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.

To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.

To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).

We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.

In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).

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The interquartile range of the given data set is 8 inches.

Here, we have,

To find the interquartile range (IQR) of a dataset, we first need to arrange the data in ascending order.

The heights which are heights in inches of the 10 high school varsity basketball players are:

71, 71, 72, 74, 74, 75, 78, 79, 79, 83

Next, we calculate the first quartile (Q1) and third quartile (Q3) positions.

Q1 is the median of the lower half of the dataset, and Q3 is the median of the upper half.

If the dataset that has an odd number of values, the median is the middle value.

If the dataset that has an even number of values, the median is the average of the two middle values.

In this case, we have 10 values, so we calculate Q1 and Q3 as follows:

Q1 = (72 + 74) / 2 = 73

Q3 = (79 + 83) / 2 = 81

Finally, we calculate the interquartile range (IQR) by subtracting Q1 from Q3:

IQR = Q3 - Q1 = 81 - 73 = 8

Therefore, the interquartile range of the given data set is 8 inches.

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Answer: it’s A..

Step-by-step explanation:

No, because it fails the vertical line test.

The hash function value for M=(189, 632, 900, 722, 349) with n=989 is 825.

To calculate the hash function for the given sequence of integers M=(189, 632, 900, 722, 349) and n=989,  to follow the provided formula:

h(M) = (Σi=1 to t ai) mod n

First, let's calculate the summation of the integers in the sequence:

Sum = 189 + 632 + 900 + 722 + 349 = 2792

Next, substitute the values into the hash function formula:

h(M) = Sum mod n

h(M) = 2792 mod 989

To calculate the modulus divide 2792 by 989 and take the remainder:

h(M) = 2792 % 989

Using any programming language or a calculator, find that h(M) is 825.

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Answer:it is 16%

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

Answer:

D. No. She multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Step-by-step explanation:

A. Yes. She solved the problem correctly.

B. No. She multiplied the dividend by the divisor instead of finding the reciprocal.

C. No. She multiplied the denominators instead of finding a common denominator.

D. No. She multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Her workings

7 ÷ 2/ 5

=1/ 7 × 2/ 5

= 2/35

Dividend=7

Divisor=2/5

The correct working

7 ÷ 2/ 5

=7 × 5/2

=35/2

Answer:

D

Step-by-step explanation:

I got an 100% on the quiz I took with this question :)

Hope I could help good luck on passing!!