what is the answer and can someone explain this

If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to widen.

This is because the standard deviation is a measure of the spread of the data, so if it increases, the data points are more spread out from the mean. As a result, the range of values that could reasonably contain the true population parameter (i.e., the confidence interval) needs to be wider to account for the increased variability in the sample.
If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to become wider.
When standard deviation increases, it indicates more variability in the data. As a result, the confidence interval, which is a range of values that estimates the true population parameter with a certain level of confidence, needs to be wider to account for the increased variability. This ensures that the true population parameter is still captured within the interval with the same level of confidence.

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First we will calculate the slope of the line

Now, let calculate

The equation would be

Graph

Answer:

I say, answer B

Step-by-step explanation:

if I am wrong I am sincerely sorry

but if it's right to hope this really helps!!!

Answer:300

Step-by-step explanation:

25 times 12

As the degrees of freedom increase, the t distribution b. approaches the normal distribution, which is a key assumption in many statistical tests. Understanding this relationship is important for making accurate statistical inferences and drawing valid conclusions from data.

The t distribution is a probability distribution that is commonly used in hypothesis testing. It is similar to the normal distribution but with heavier tails. As the degrees of freedom increase, the t distribution approaches the normal distribution. This means that the shape of the t distribution becomes more and more like the normal distribution as the sample size increases.
The reason for this is that the t distribution is based on the sample mean, which becomes more normally distributed as the sample size increases due to the central limit theorem. As the sample size increases, the standard error of the mean decreases, and the t distribution becomes less spread out and more peaked. This is why we use the t distribution instead of the normal distribution when we have a small sample size.

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 $1.09 is Total return in investment   .

What is investment?

Investments are assets that are bought or invested in to increase wealth and set aside cash from hard-earned income or gain. The main purpose of an investment is to provide an additional source of income or to generate a profit over a certain amount of time.

                                Any strategy for producing future revenue might be referred to as an investment. This involves, among other things, purchasing securities such as bonds, stocks, or real estate.

Total return in dollars = Profit / Initial investment

Highest = $67

Lowest = $32

                         no of shares     price per share      value

                                    a                      b                       c = a * b

lowest price              1000                32                         32000

highest price             1000               67                          67000

profit = sale value - purchase value                                35000

Total return in investment                                                   $1.09

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Answer:

Plane RAT

Step-by-step explanation:

:]

Answer:

Rhombus

Step-by-step explanation:

The angles add up to 144 degrees, so they can't be a rectangle or a square. Also, diagonals of rhombuses bisect the angles.

An individual's BMR decreases approximately 3 to 5 percent per decade on an average after the age of option C. 30.

Therefore, on an average individuals BMR is approximately decreases by round about 3 to 5 percent per decade after the age of option c. 30.

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Answer:

\(\frac{5}{14}\)

Step-by-step explanation:

First, find the total number of students:

\(252+140=392\)

Then, divide the number of students at hand by the total number:

\(\frac{140}{392}\)

When possible, reduce the fraction to its simpliest form:

\(\frac{140}{392}\div\frac{28}{28}=\frac{5}{14}\)

the required sample size for the interval estimate with a 95% level of confidence  is 385

since we are given the margin of error which is f $10 and a standard deviation which is $1,000,  and we are also given the level of confidence which is 95%

so the formula we are  referring to calculate the sample size is :

n=z(0..95)*s²/ E

here, E is the margin of error, S is the standard deviation

so z score of 0.95 is 1.96

so n = 1.96*1000^2/100

        = 384.16 ,which is almost 385

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Answer:

center (6,-4)

radius = √7 unit

Step-by-step explanation:

Mathematically, the equation of a circle can be written as follows;

(x-a)^2 + (y-b)^2 = r^2

Where (a,b) represents the center of the circle with r representing the radius of the circle.

Now looking at the values in the question, we can clearly see that a = 6, while b represents -4.

The radius of the circle is √7

So the circle center is (6,-4) while √7 is the circle center

Given that sample standard deviation is zero. This indicates that the variance of sample is also zero as square of sample standard deviation is sample Variance. Variance is average of the squared deviations from mean. As shown in below formula

Since Variance = 0 , we substitute in formula and we get the sum of squares of deviations of all data points from mean should be zero. This is only possible if and only if all the data points in the data distribution are same as mean of the data distribution. In the case the variance and standard deviation will be zero.

Variance = Summation n to i = 1 \(\frac{(X_{1-X} )^2}{n-1}\)

        0 = Summation n to i = 1\(\frac{(X_{1-X} )^2}{n-1}\)

                Summation n to i \({(X_{1-X} )^2\) = 0

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Answer:

it is an isosceles triangle

so angle c is 50°

and you know the sum of angle of the triangle is 180° so 50° is already given and angle c is also 50° then 50° +50°+b= 180°

then b= 180° -100°

b= 80°

hence angle B is 80°and

angle c is 50°.

Answer:

angle c is 50°

Step-by-step explanation:

a)1. True

2.False

3.True

4).False

b)Without knowing the sample size and standard deviation, we cannot determine the exact 90% confidence interval.

(a) For the content loaded Central Middle School data:

1. True: There is a 95% probability that μ (mean height) is between 54 and 58 inches.

This is the correct interpretation of the 95% confidence interval.

2. False: The confidence interval doesn't tell us the probability of the true mean or the margin of error being exactly as given. It only tells us the range where the true mean is likely to fall with 95% confidence.

3. True: If we took many additional random samples of the same size and from each computed a 95% confidence interval for μ, approximately 95% of these intervals would contain μ. This is the definition of a 95% confidence interval.

4. False: It's incorrect to say that μ would fall between 54 and 58 95% of the time. The correct interpretation is that if we computed multiple 95% confidence intervals, approximately 95% of those intervals would contain the true mean height.

(b) To determine the 90% confidence interval based on the same data:

Without knowing the sample size and standard deviation, any of the above answers could be the 90% confidence interval. Confidence intervals depend on the sample size, standard deviation, and desired confidence level. With the information given, we cannot determine the exact 90% confidence interval.

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Answer:

an = 6n -2

Or

an+1 = an +6

Step-by-step explanation:

to go from 4 to 10 we add 6 tiles

to go from 10 to 16 we add 6 tiles

We add 6 tiles each time

an = a1 + d(n-1)  where an is the value of the nth term  a1 is the first term  d is the common factor and n is the term number

an = 4 + 6( n-1)

an = 4 + 6n -6

an = 6n -2

Or

an+1 = an +6

Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

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Answer:

Value of the car after x years

Step-by-step explanation:

Exponential functions are generally expressed in the form: \(y=a(b)^x\) and since this function is decreasing, meaning it has an exponential decay, it can be expressed as: \(y=a(1-r)^x\) where r=rate of decay.

In this case the a represents the initial value or y-intercept, since when x=0, (1-r)^0 = 1, so we just have y=a(1) or y=a

The r represents the rate of decay

the x usually represents the time in seconds, days, months, or whatever unit is being used

The y value represents the value of whatever your measuring, and in this context it represents the value of the car after x years.

This is because a represents the initial value

After one year it's only 85% worth it's initial value or 15% less which is represented as 0.85(a)

After two years it's only 85% worth the previous year or 15% less the previous year, which is represented as 0.85(0.85(a))

This will continue to decrease the number of years increase

Answer:

the value of your car after x years

Step-by-step explanation:

The given function represents a geometric sequence with initial term $9500 and common factor 0.85.  Note that every time x increases by 1, we get the newest term by multiplying the previous one by 0.85.  The given function y=9500*0.85^x represents the value of your car after x years (which matches the 3rd answer choice).

The significance level of 0.01 indicates that we want to use a 1% level of significance to evaluate the evidence against the null hypothesis.

The null and alternative hypotheses for testing the claim that the majority of college students' cell phone bills are paid by their parents can be stated as follows:

Null hypothesis (H0): The majority of college students' cell phone bills are not paid by their parents.

Alternative hypothesis (Ha): The majority of college students' cell phone bills are paid by their parents.

In this scenario, the null hypothesis assumes that the proportion of college students whose parents pay their cell phone bills is less than 50% (not a majority), while the alternative hypothesis suggests that the proportion is greater than or equal to 50% (a majority). The significance level of 0.01 indicates that we want to use a 1% level of significance to evaluate the evidence against the null hypothesis.

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The housing supply function is given by h(I,R) = a log1 + bR + cR log1. The housing supply responds to changes in I with a rate of a, and to changes in R with a rate of b + c log1.

Based on the given equation, the housing supply (h) is determined by two variables: I and R. The equation shows that h is a function of R, with a log-linear relationship. The variable I only appears as a constant (a) in the equation, so changes in I do not directly affect the supply of houses.
On the other hand, changes in R (or OR, which is the same variable) do affect the supply of houses. Specifically, an increase in R leads to an increase in the supply of houses. The magnitude of this increase depends on the values of b and c in the equation.
To see this, we can take the partial derivative of h with respect to R:
dh/dR = b + cR/(ln(10))
This equation tells us how much the housing supply changes in response to a change in R. The derivative is positive (i.e. the supply increases) as long as c is positive. The larger c is, the greater the increase in supply for a given increase in R.
Therefore, the correct answer is:
b + cR/(ln(10))

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Answer:

101.5

Step-by-step explanation:

Answer:

101.5

Step-by-step explanation:

145 times .7 = 101.5

Have a great day!!

Answer:

X

=

27

Step-by-step explanation:

At a gas station, suppose that 54% of the customers purchase premium grade gas. assume that these customers decide independently. The probability that none of the next three customers purchase premium gas is 0.834

The likelihood that at least one of the following three customers will purchase premium gas is equal to the likelihood that none of the following three customers will do so. = 1 - (1-P(A))³ = 0.834

The likelihood that a customer would buy premium quality is 45%.

P(A) = 0.45 in this case.

P(B) = 0.55 is the likelihood that the consumer would buy a different grade.

Consequently, the likelihood that at least one of the following three clients will buy premium gas is

P(k=0) = (1 - P)ⁿ,

where the likelihood that at least one client will buy premium gas is complemented by the likelihood that the subsequent three customers will buy a different gas brand.

(1 - P(A))×(1 - P(A))×(1 - P(A)) = P(B)×P(B)×P(B) = 0.55³

and the complement is 1 - 0.55³  = 0.834

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Answer:

C. y = x - 4

Step-by-step explanation:

Therefore, in about 15 years and 2 months, the senior class will have about 100 students.

An equation is a statement that expresses the equality of two mathematical expressions using mathematical symbols such as variables, numbers, and mathematical operations. The equality is represented by an equal sign "=" between the two expressions. Equations are used to represent mathematical relationships and solve problems in various fields such as physics, chemistry, engineering, and economics.

Given by the question.

Let P be the initial population of the senior class in the high school, and r be the rate of decrease in population per year (in decimal form).

Then, we can write the following equation to represent the situation:

P\((1-r)^{n}\) = 100

We know that the current population of the senior class is 320, so we can substitute these values into the equation:

320\((1-0.07)^{n}\) = 100

Simplifying the equation, we get:

\(0.93^{n}\) = 0.3125

Taking the natural logarithm of both sides, we get:

n ln (0.93) = ln (0.3125)

Dividing both sides by ln (0.93), we get:

n = ln (0.3125) / ln (0.93)

Using a calculator, we find that n is approximately equal to 15.21 years.

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Ilsa is currently 39 years old.

Let's start by defining the variables:

From the given information, we can create two equations:

We know that Ed is 29, so we can substitute this value into equation 2:

29 - M = 2(I - M)

Simplifying this equation, we get:

2M - I = 29

Now we can use equation 1 to substitute I with M + 5:

2M - (M + 5) = 29

Simplifying this equation, we get:

M = 34

Therefore, Meghan is currently 34 years old. We can use equation 1 to find Ilsa's age:

I = M + 5 = 34 + 5 = 39

So Ilsa is currently 39 years old.

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Answer:

7 %

Step-by-step explanation:

See how many have scratches or cracks.

200-186=14

Turn that into a fraction of the total

14/200

Simplify the fraction until the total is 100.

14/200, divide both sides by 2 to get 7/100.

Percent is part of a hundred so 7 percent is the answer.

The value of the surface integral ∫∫s (∇ × F) · ds over the given surface S is (16/3)π.

To evaluate the given surface integral, we need to calculate the curl of the vector field F and then integrate it over the surface S.

First, we find the curl of F:

∇ × F =

| i j k |

| ∂/∂x ∂/∂y ∂/∂z |

| x y z |

( x(y-1) - y(x-1) ) i + ( y(z-1) - z(y-1) ) j + ( z(x-1) - x(z-1) ) k

Now, we need to evaluate the surface integral using the divergence theorem:

∫∫s (∇ × F) · ds = ∫∫∫v ∇ · (∇ × F) dV

where V is the volume enclosed by the surface S.

Using the divergence theorem, we can rewrite the integral as:

∫∫s (∇ × F) · ds = ∫∫∫v (∂/∂x(x(y-1) - y(x-1)) + ∂/∂y(y(z-1) - z(y-1)) + ∂/∂z(z(x-1) - x(z-1))) dV

Now, we can evaluate the triple integral by changing to spherical coordinates:

∫∫s (∇ × F) · ds = ∫θ=0^π/2 ∫φ=0^2π ∫r=0^2 [(r^2 sinθ cosφ(cosφ + sinφ) + r^2 sinθ sinφ(sinφ - cosφ) + r^2 cosθ(cosθ - 1))] r^2 sinθ dr dφ dθ

Evaluating this integral, we get:

∫∫s (∇ × F) · ds = (16/3)π

Therefore, the value of the surface integral ∫∫s (∇ × F) · ds over the given surface S is (16/3)π.

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