consider the distribution for the number of weeks pregnancy last for a mother, how many peaks would you expect the distribution to have?

You spent $75 for the month when you used 7 GB of data. It would be worthwhile to upgrade to the 10 GB plan for $80 if you frequently exceed the 4 GB cap.

No matter how much of a good or service is used or consumed, a flat rate is a set amount that is charged. There are no extra fees or variable expenses; there is just one price that includes all related costs and fees. Utility bills, subscription services, and other recurring costs are frequently priced using flat rates. While they offer a predictable cost and can make budgeting and financial planning easier, they might be beneficial for clients who utilise a high volume of the product or service.

Given that, you are charged $5 for every GB you go over.

Here,

Extra data used = 7 GB - 4 GB = 3 GB

Cost of extra data = 3 GB x $5/GB = $15

Thus,

Total cost = $60 + $15 = $75

Hence, you spent $75 for the month when you used 7 GB of data.

It would be worthwhile to upgrade to the 10 GB plan for $80 if you frequently exceed the 4 GB cap. To decide which plan would be more affordable in the long run, you would need to evaluate the expenses of the two options and take into account your average monthly data use.

Learn more about equation here:

https://brainly.com/question/1529522

#SPJ1

The median will be greater than the mean in a left-skewed distribution

We have,

In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.

A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.

When the data is skewed left, it means that the distribution is being pulled towards the left side.

This is because there are a few extreme values on the left side that are pulling the mean in that direction.

In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.

For a left-skewed distribution,

The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.

In a data distribution that is skewed left, the mean will be less than the median.

This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.

Therefore,

The median will be greater than the mean in a left-skewed distribution

Learn more about the median here:

https://brainly.com/question/28060453

#SPJ1

Answer:

Step-by-step explanation:

Given:

Since BC is opposite to right angle, AC is the missing leg.

Find AC using Pythagorean:

Using translation concepts, it is found that the correct option, which represents the transformation made to function \(g(x) = 8|x - 15| - 30\), is given by:

D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

The parent function is:

\(p(x) = |x|\)

The first transformation was \(x \rightarrow x - 15\), which means that it was shifted 15 units to the right.

Then, the function was multiplied by 8, which means that it was stretched vertically by a factor of 8.

Finally, 30 was subtracted from the function, which means that it was shifted down 30 units.

Hence, the correct option is given by:

D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

A similar problem is given at https://brainly.com/question/18405655

Answer:

it can be negative or positive. You can change the number after the equal to a negative, or a positive depending on what the number is.

Step-by-step explanation:

Option B. Here Adam Ct. is perpendicular to Betha Dr. and Charles. So, St. Bertha Dr. || Charles St. Since they are parallel to each other

Answer: Bertha Dr. || Charles St.

Step-by-step explanation:

Parallel lines are lines in a plane that do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel.

A line is said to be perpendicular to another line if the two lines intersect at a right angle.

Adam Court is perpendicular to Edward Road.

Bertha Drive is parallel to Charles St.

Dana Lane is perpendicular to Edward Road.

The total cost of using incandescent lights for one year (including the cost of bulbs and electricity) is $101.82.

We have,

The incandescent lights have a lifespan of 1000 hours, which means that to cover a year, we would need 8 bulbs (since we use the lights for 4 hours per day).

The cost of each bulb is $2.12, so 8 bulbs would cost:

= 8 bulbs x $2.12/bulb

= $16.96

To calculate the electricity cost, we need to use the same formula as before:

Electricity cost = Power x Time x Rate

The power of each bulb is 60 watts, so the total power used by 8 bulbs is:

= 8 bulbs x 60 watts/bulb

= 480 watts

The time the bulbs are used per day is 4 hours, so the total time used per year is:

= 365 days/year x 4 hours/day

= 1,460 hours

The rate is the same as before: $0.12/kWh.

Putting it all together:

Electricity cost = 480 watts x 1,460 hours x $0.12/kWh

Electricity cost = $84.86

The total cost of using incandescent lights for one year (including the cost of bulbs and electricity).

= $16.96 + $84.86

= $101.82

Thus,

The total cost of using incandescent lights for one year (including the cost of bulbs and electricity) is $101.82.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer:

He must survey 123 adults.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

Assume that a recent survey suggests that about 87​% of adults have heard of the brand.

This means that \(\pi = 0.87\)

90% confidence level

So \(\alpha = 0.1\), z is the value of Z that has a p-value of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).

How many adults must he survey in order to be 90​% confident that his estimate is within five percentage points of the true population​ percentage?

This is n for which M = 0.05. So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.05 = 1.645\sqrt{\frac{0.87*0.13}{n}}\)

\(0.05\sqrt{n} = 1.645\sqrt{0.87*0.13}\)

\(\sqrt{n} = \frac{1.645\sqrt{0.87*0.13}}{0.05}\)

\((\sqrt{n})^2 = (\frac{1.645\sqrt{0.87*0.13}}{0.05})^2\)

\(n = 122.4\)

Rounding up:

He must survey 123 adults.

Answer:

sorry I can see the whole answer on the image

Answer:

Step-by-step explanation:

Thank you ☺️☺️

its answer is option B

0.001

Answer:

range of the function F(x) is  (-infinity, 3)

Step-by-step explanation:

I do not see the graph function F(x), so will assume that it is a graph of the function F(x) over the complete domain (-inf,inf).

As you can see from the attached graph, the function reaches a maximum at y=+3, and extends all the way to -infinity.

So the range of the function F(x) is  (-infinity, 3)

Answer:

9.9

Step-by-step explanation:

4.8 x 2 = 9.6

29.5 - 9.6 = 19.9

19.9/2 = 9.95

round up

9.9

Answer:

10 I think

Step-by-step explanation:

Answer:

Sylvia's total cost=$2.79*8

=$22.32

Step-by-step explanation:

Answer:

ayannah is correct

Step-by-step explanation:

Ayannah is correct becauseyou can divide both 19 and 133 by 19 which gives you 1/7. 1/7 isn't divisible by anything else so that's the simplest form.

Answer:

Ayanna is correct because 19/133= 1/7

Step-by-step explanation:

Simplest form means reducing fractions to its lowest term.

The five-period moving average forecast for period 7 is 10.7.The five-period moving average forecast for period 7 can be calculated as:MA5,7 = 0.5*8 + 0.3*13 + 0.1*11 + 0.05*12 + 0.05*10 = 10

The five-period moving average forecast for period 7 is calculated using a weighted average of the most recent five periods. The weights represent the relative importance of each period in the calculation. The formula is: MA5,7 = 0.5*X6 + 0.3*X5 + 0.1*X4 + 0.05*X3 + 0.05*X2Where MA5,7 is the five-period moving average forecast for period 7 and X6, X5, X4, X3, and X2 are the data for periods 6, 5, 4, 3, and 2 respectively.In this example, the data for each period is as follows:

X2 = 10 X3 = 12 X4 = 11 X5 = 13 X6 = 8 .The five-period moving average forecast for period 7 can be calculated as:MA5,7 = 0.5*8 + 0.3*13 + 0.1*11 + 0.05*12 + 0.05*10 = 10.7Therefore, the five-period moving average forecast for period 7 is 10.7.

Learn more about average here:

https://brainly.com/question/2906096

#SPJ4

Answer:

As baby porcupine is backed into cactus, so the spines of cactus will feel like spines of mother porcupine. So the baby porcupine will give  call to its mother.

Step-by-step explanation

He said hi Ma.

The time taken for the trip will be 12.7 hours.

It should be noted that time taken is calculated as:

Time = Distance / Speed

Distance = 700 miles

Speed = 55 mph

Time = 700/55

Time = 12.7 hours.

Therefore, the time taken for the trip will be 12.7 hours.

Learn more about expressions on:

brainly.com/question/22048677

#SPJ1

Answer:

Step-by-step explanation:

Answer:

4.8 * 10^15 Newton

Step-by-step explanation:

Electric field is electric force  created by a unit charge. Mathematically it is defined as

Electric field = electric force /charge in coulomb  _____(1)

given

Electric field =  1.2 * 10^6 N/C

charge = 4.0 * 10^9 C

substituting above value in equation 1 we have

1.2 * 10^6 N/C =  electric force/4.0 * 10^9 C

=> 1.2 * 10^6 N/C * 4.0 * 10^9 C = electric force

=> electric force = 4.8 * 10^15

Thus, electric force acting on the toner particle is 4.8 * 10^15 Newton

LET Children=1.75 and Adults=2.25

x + y = 460                                 (equation 1)

1.75x + 2.25y = 965.00             (equation 2)

Use Substitution Method

Isolate variable x in equation 1

x = 460 – y                     (equation 3)

Substitute equation 3 into equation 2

1.75(460 – y) + 2.25y = 965.00

805 – 1.75y + 2.25y = 965.00

-1.75y + 2.25y = -805 + 950

0.5y=145

y=290

Substitute y = 290 into equation 1

x + 290 = 460

x = 170

ANSWER: 290 Children and 170 Adults

Answer:

83 kilometres per hour =

51.574 miles per hour

a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.

In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.

Counting these numbers, we find that there are 17 students who obtained more than 45 marks.

b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.

In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.

Counting these numbers, we find that there are 15 students who obtained less than 45 marks.

c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.

In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.

Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.

d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.

Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45

           = 1912

Total number of students = 40

Average marks = Total marks / Total number of students

                 = 1912 / 40

                 = 47.8

Therefore, the average marks obtained by the students in the class is 47.8.

e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.

In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,

49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.

Counting these numbers, we find that there are 40 students who obtained more than the average marks.

Answer:

B). Graph B ;

Step-by-step explanation:

22).

3p + (16 - p) > 28

2p > 12

p > 6 (B)

23).

- 3x + 1 ≥ - 11

- 3x ≥ - 12

x ≤ 4

Answer:

33 + 56 + 65 = 154

Answer:

Step-by-step explanation:

Natural log and the number 'e' are inverse to each other. Therefore, if you take the natural log of both sides, the exponential cancels and leaves 'x' isolated:

\(ln(e^x)=ln(15.29)\)

\(x=ln(15.29)\)

Let's solve for x

So natural logarithm on both sides

\(\\ \rm\Rrightarrow x=ln(15.29)\)

\(\\ \rm\Rrightarrow x=2.73\)

Answer:

Cos z is 28/35

Step-by-step explanation:

The general solution to the given differential equation is:

y = (x/12) - (1/288)

How to solve the Differential Equation?

We want to solve the differential equation given as: y' - 24xy = -2x

The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is -24x. Therefore, the integrating factor is e^(-24x).

Multiplying the entire equation by the integrating factor, we get:

e^(-24x)y' - 24xe^(-24x)y = -2xe^(-24x)

The left side of the equation is the derivative of (e^(-24x)y) with respect to x:

(d/dx)(e^(-24x)y) = -2xe^(-24x)

Integrating both sides with respect to x, we have:

e^(-24x)y = ∫(-2xe^(-24x))dx

Integrating the right side, we get:

e^(-24x)y = -∫(2xe^(-24x))dx

To evaluate the integral on the right side, we can use integration by parts. Let's differentiate -2x and integrate e^(-24x):

u = -2x (differential of u = -2dx)

dv = e^(-24x) (integral of dv = -1/24e^(-24x)dx)

Using the integration by parts formula:

∫uv dx = uv - ∫v du

We can compute the integral as follows:

-∫(2xe^(-24x))dx = -[(-2x)(-1/24e^(-24x)) - ∫(-1/24e^(-24x))(-2dx)]

= -[x/12e^(-24x) + 1/12∫e^(-24x)dx]

= -[x/12e^(-24x) + 1/12(-1/24)e^(-24x)]

= -[x/12e^(-24x) - 1/(12*24)e^(-24x)]

= -[x/12e^(-24x) - 1/(288e^(-24x))]

= -[x/12 - 1/288]e^(-24x)

Substituting this back into the previous equation, we have:

e^(-24x)y = -[-(x/12 - 1/288)e^(-24x)]

Simplifying further:

e^(-24x)y = (x/12 - 1/288)e^(-24x)

Canceling out e^(-24x) on both sides:

y = x/12 - 1/288

Therefore, the general solution to the given differential equation is:

y = x/12 - 1/288

Read more about Differential Equation at: https://brainly.com/question/28099315

#SPJ1