Which of the following types of distributions use t-values to establish confidence intervals? Standard normal distribution Log.normal distribution ot-distribution O Poisson distribution

Answer:

9

Step-by-step explanation:

See the picture for steps :)

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{1}{4} (38 -14) + \dfrac{3^3}{9}}\)

\(\mathsf{38-14=\bf 24}\)

\(\mathsf{= \ \dfrac{1}{4} (24)+\dfrac{3^3}{9}}\)

\(\mathsf{\dfrac{1}{4}(24)= \bf 6}\)

\(\mathsf{= \ 6+\dfrac{3^3}{9}}\)

\(\mathsf{3^3}\\\mathsf{= 3\times3\times3}\\\mathsf{= 9\times3}\\\mathsf{= \bf 27}\)

\(\mathsf{= \ 6+\dfrac{27}{9}}\)

\(\mathsf{\dfrac{27}{9}}\\\mathsf{= 27\div9}\\\mathsf{= \bf 3}\)

\(\mathsf{= \ 6 + 3}\)

\(\mathsf{= \bf 9}\)

\(\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf 9}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

In the end, Moe played 51 games, while  Meeny played 17 games and Miny played 35 games.

We can start solving the problem by using algebra. Let x be the number of games Moe played. Then, since Meeny and Miny played 17 and 35 games respectively, the total number of games played is 17 + 35 + x = x + 52.

We know that in the second game and on, the one who sat out the preceding game would replace the loser of that game. Therefore, the number of games played by Moe is one less than the number of games played by Meeny and Miny combined.

x = (17 + 35) - 1 = 51.

So, Moe played 51 games.

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The complete question is -

Meeny, Miny and Moe were playing tennis. From the second game on, the one who sat out the preceding game would replace the loser of that game. In the end, Meeny played 17 games and Miny played 35 games. How many games did Moe play?

Variance and Standard deviation can tell us the variation of data within a group of samples.

What is a variance?

Variance is a term used in probability theory and statistics to measure how far a group of numbers are spread out from their mean value.

In the context of hypothesis testing, the variance of two groups of data is compared to see if they are statistically significant.

A smaller variance indicates that the data points are closer together, whereas a larger variance indicates that the data points are farther apart.

What is Standard deviation?

The standard deviation is the square root of the variance, and it is used to express the average distance that data points deviate from the mean in a group of samples.

It is used in statistics to measure how tightly a set of data is clustered around its mean.

What is Mean?

The average value of a group of numbers is referred to as the mean.

It is calculated by adding all of the numbers together and then dividing by the total number of numbers.

What is T-value?

The t-value is used to test the null hypothesis, which states that there is no significant difference between two groups of data.

The t-value is calculated by subtracting the mean of one group from the mean of the other group and then dividing by the standard deviation of the two groups combined.

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Answer:

Graph 1, 2, 5, 6 are not functions.

Graph 3, 4 are functions

Step-by-step explanation:

For every input there can only be one output to be a function.

Of the given graphs, only graph[3] and graph[4] represent functions.

A function is a relation between a independent variable and a dependent variable such that the value of dependent variable depends upon the independent one. It is denoted by f(x).

Given are the graphs plotted for different expressions.

Now, for a given expression to be a function, it should have a single unique value of variable [y] in coordination with that of [x]. Of all the graphs given, only the continuous graph[3] and discrete graph[4] have unique or only one unique value of [y] for a value of [x]. So, only graph[3] and graph[4] represent functions.

Therefore, of the given graphs, only graph[3] and graph[4] represent functions.

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The projected balance of cash at the end of August is $38,000. The correct option is D.

To calculate the projected balance of cash at the end of August, we need to consider the cash balance at the beginning of the month, cash collections, and cash payments for August.

Given that the cash balance on July 31 was $32,000.00, we start with this amount.

Cash collections for August are $52,000.00, which means this amount is added to the cash balance.

Next, we consider cash payments for August, which include purchases of direct materials and operating expenses. The total cash payments for August are $20,000 (purchases of direct materials) + $26,000 (operating expenses) = $46,000.00. This amount is subtracted from the cash balance.

Finally, we calculate the projected balance of cash at the end of August by adding the cash collections and subtracting the cash payments from the beginning cash balance:

Projected cash balance at the end of August = Beginning cash balance + Cash collections - Cash payments

= $32,000 + $52,000 - $46,000

= $38,000

Therefore, correct option is D.

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Complete question is:

Berman Company is preparing its budget for the third quarter. Cash balance on July 31 was $32,000.00. Assume there is no minimum balance of cash required and no borrowing is undertaken. Additional budgeted data are provided here:

                                         July           Aug             Sep

Cash collections       $51,000.00 $52,000.00 $50,000.00

Cash payments

Purchases of direct materials     23,000     20,000        24,000

Operating expenses       32,000      26,000    22,000

Capital expenditures      7,000       9,000      13,000

Calculate the projected balance of cash at the end of August.

A. $23000

B. $29000

C. $107000

OD. $38000

Answer:

Given -

To find -

Solution -

From the second law of motion i.e., F = MA

→ F = 3.5 × 2.2

→ 7.7 kg ms-²

Therefore, the external net force exerted on papaya is 7.7 kg m/s².

We have that  the external net force exerted is

F=7.7N

From the question we are told

the external net force exerted on a 3.5 kg papaya, which is being pushed across a table and has an acceleration of 2.2 m /s² to the left​

Generally the equation for the Force   is mathematically given as

\(F=ma\\\\Therefore\\\\\F=3.5*2.2\\\\F=7.7N\)

Therefore

The external net force exerted is

F=7.7N

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Answer: F. n = s/180 + 2

Step-by-step explanation:

         To find the equation that solves for n, we will isolate the n variable.

Given:

     S = (n - 2) x 180

Divide both sides of the equation by 180:

     \(\frac{S}{180}\) = n - 2

Add 2 to both sides of the equation:

     \(\frac{S}{180}\) + 2 = n

Reflexive property:

    n = \(\frac{S}{180}\) + 2

                   F. n = s/180 + 2

Answer:

B & C

Step-by-step explanation:

Mixture B:

4 white 2 red

Mixture C:

Divide the whole paint combinations by 2:

2 white 1 red

In that case, you are simply making less, but still have the same ratios. They are proportionate.

Happy learning!

--Applepi101

Answer:

x=-11

Step-by-step explanation:

Divide both sides by -7, and you get -11

Kirk must earn an annual rate of return of approximately 6.07% on his investment to accumulate enough money to pay for the ring.

To calculate the annual rate of return Kirk must earn on his investment, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = final amount (the cost of the ring, which is $13,000 in 9 years)
P = initial amount (the amount Kirk currently has, which is $4,532)
r = annual interest rate (what we need to solve for)
n = number of times interest is compounded per year (assuming it's compounded annually, n = 1)
t = number of years (9 years)

Plugging in the given values:
$13,000 = $4,532(1 + r/1)^(1*9)
Next, simplify the equation:
(1 + r)^(9) = 13000/4532
Take the ninth root of both sides:
1 + r = (13000/4532)^(1/9)
Solve for r:
r = (13000/4532)^(1/9) - 1
Now, plug the value into a calculator to find r:
r = 0.0607

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Answer:

285 miles.

Step-by-step explanation:

342 / 6 = 57 miles per hour.

5 * 57 = 285 miles.

Answer:

285 miles in 5 hrs

Step-by-step explanation:

342 miles in 6 hrs

342 / 6 = 57

57 miles in 1 hr

57 x 5 = 285

285 miles in 5 hrs

Hope this helps!

Answer:

x-9

Step-by-step explanation:

HOPE THIS HELP -_-

290 people Apple wants to visit the store every day after Layla’s marketing campaign.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Both linear equations with one variable and those with two variables exist.

Given Apple wants to increase the number of people who enter in stores in London every day,

let X be Apple’s target amount of people,

380 is double the difference between, the target amount of people which apple wants to visit the store every day and 100

difference between the target amount of people and 100 is

X - 100

double the equation = 2(X - 100)

the equation is equal to 380

2(X - 100) = 380

divide both sides by 2

X - 100 = 380/2

X - 100 = 190

X = 190 + 100

x  = 290

Hence  Apple’s target amount of people is 290.

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Answer: \(2\sqrt{34}\) or, as a decimal, 11.7.

Step-by-Step Explanation:

1. Use the distance formula and substitute the values of the two ordered pairs.

\(\sqrt{(2-(-4))^{2}+(2-(-8))^{2}}\)...

2. Multiply -1 by -4.

\(\sqrt{(2+4)^2+(2-(-8))^2\\}\) ...

3. Add 2 and 4.

4. Raise 6 to the power of 2.

\(\sqrt{36+(2-(-8))^2}\)...

5. Multiply -1 by -8.

6. Add 2 and 8.

7. Raise 10 to the power of 2.

\(\sqrt{36+100}\) ...

8. Add 100 and 36.

9. Rewrite 136 as 2² · 34.

10. After factoring 4 out of 136 and rewriting as ...  \(\sqrt{2^{2}(34)}\), pull out terms from under the radical. It should look like this now: \(2\sqrt{34}\). That is your final answer!!

Hope that helps! Note: the unrounded decimal is 11.66190378.

(P.S. Can I have Brainliest please? Once someone else answers, of course...)

The given series is ∑(n=0 to infinity) ((-1)^n * 5^n * x^4n) / n!. This is the Maclaurin series expansion of the function f(x) = e^(-5x^4).

By comparing with the Maclaurin series expansion of e^x, we can see that the sum of the given series is f(1) = e^(-5).
Therefore, the sum of the series is e^(-5).
The given series is a sum of terms in the form:
Σ(−1)^n * 5n * x^(4n) * n! for n = 0 to ∞
Unfortunately, this series does not have a closed-form expression or a simple formula for finding the sum, since it involves alternating signs, factorials, and exponential terms. To find an approximate sum, you can calculate the first few terms of the series and observe the behavior or use numerical methods to estimate the sum.

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From the formula of expansion series for \(e^x\), the sum of series, \(\sum_{n = 0}^{\infty} (-1)^n \frac{5^n x^{4n}}{n!} \\ \) is equals to the \( e^{-5x⁴}\).

A series in mathematics is the sum of the serval numbers or elements of the sequence. The number or elements are called term of sequence. For example, to create a series from the sequence of the first five positive integers as 1, 2, 3, 4, 5 we will simply sum up all. Therefore, the resultant, 1 + 2 + 3 + 4 + 5, form a series. We have a series, \(\sum_{n= 0}^{\infty} (-1)^n \frac{5^n x^{4n}}{n!} \\ \).

The sum of a series means the total list of numbers or terms in the series sum up to. Using the some known formulas of series, like \(1 + x + \frac{x²}{2!} + ... + \frac{x^n}{n!}+ ... = \sum_{n = 0}^{\infty } \frac{ x^n}{n!} = e^x \\ \) Similarly, \(1 - x + \frac{x²}{2!} - ... + \frac{x^n}{n!}+ ... = \sum_{n = 0}^{\infty } (-1)^n \frac{ x^n}{n!} = e^{-x } \\ \) Rewrite the expression for provide series as \(\sum_{n = 0}^{\infty} (-1)^n \frac{(5x⁴)^n}{n!} \\ \). Now, comparing this series to the series of e^{-x}, here x = 5x⁴ so, we can write the sum of series as \(\sum_{n = 0}^{\infty} (-1)^n \frac{(5x⁴)^n}{n!} = e^{-5x⁴} \\ \). Hence, required value is \(e^{ - 5x^{4} } \).

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Complete question:

find the sum of the series

\(\sum_{n = 0}^{\infty} (-1)^n \frac{5^n x^{4n}}{n!} \\ \).

The largest possible volume of the box, given the constraint of 1700 square centimeters of material, is approximately 18709.5437 cubic centimeters. This volume is achieved by making the base of the box with a side length of approximately 23.2379 centimeters.

To determine the largest possible volume of the box with a square base and an open top, we need to maximize the volume.

Let's assume that the length of each side of the square base is 's' centimeters, and the height of the box is 'h' centimeters.

The volume of a box with a square base is given by V = s² * h.

We have that the total surface area of the material available is 1700 square centimeters. The surface area of the box consists of the base and four sides, so we have:

Surface area = s²+ 4sh

Since the top is open, we don't need any material for it.

Now, we can rewrite the surface area equation as:

s² + 4sh = 1700

To maximize the volume, we can solve this equation for 'h' in terms of 's' and substitute it into the volume equation:

h = (1700 - s²) / (4s)

V = s² * [(1700 - s²) / (4s)

Simplifying further:

V = (1/4)(1700s - s³)

To determine the largest possible volume, we need to maximize this function. We can take the derivative of V with respect to s, set it to zero, and solve for 's'.

dV/ds = 1700/4 - (3/4)s²

Setting dV/ds = 0, we have:

1700/4 - (3/4)s² = 0

Simplifying further:

1700 = 3s²

s² = 1700/3

s ≈ 23.2379 cm

Substituting this value of 's' into the volume equation, we get:

V ≈ (1/4)(1700 * 23.2379 - (23.2379)^3)

V ≈ 18709.5437 cubic centimeters

Therefore, the largest possible volume of the box is approximately 18709.5437 cubic centimeters.

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Answer:

6x + 3

Step-by-step explanation:

3(2x + 1)

=3*2x + 3*1

=6x + 3

Answer:

to make one tortilla, you need 0.75, or 3/4 cup of flour for every 1 cup of water

Step-by-step explanation:

(If one square on the graph = one centimeter)

b = 10cm

h = 10cm

Area

\( = \frac{1}{2} \times b \times \: h\)

\( = \frac{1}{2 } \times 10 \times 10\)

\( = \frac{1}{2} \times 100\)

\( = 50 {cm}^{2} \)

The interior angle of a polygon, and its exterior angle form a linear pair.

Reasons:

The given parameters of the polygon are;

The difference in the exterior angles of the polygon = 5°

Number of sides on one of the polygon = n

Number of sides on the other polygon = n + 1

We get;

The interior angles of a regular polygon are given by the following formula;

\(\theta_1 = \mathbf{\dfrac{(n - 2) \times 180^{\circ}}{n}}\)

Which gives;

\(\theta_2 = \mathbf{\dfrac{((n + 1) - 2) \times 180^{\circ}}{n + 1}}\)

\(\mathbf{\left(180 - \dfrac{(n - 2) \times 180^{\circ}}{n} \right) - \left( 180 - \dfrac{((n + 1) - 2) \times 180^{\circ}}{n + 1} \right)} = 5\)

Simplifying with a graphing calculator gives;

\(\dfrac{360}{n^2 + n} = 5\)

5·(n² + n) = 360

5·n² + 5·n - 360 = 0

n² + n - 72 = 0

(n - 8)·(n + 9) = 0

Therefore;

The number of sides on on of the polygon, n = 8

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Answer:  A.  85

Step-by-step explanation:

To set up an equation to solve for x you need to know:

The to 2 interior (inside) angles,  opposite of the exterior,  added together is equal to the exterior (outside) angle.

2x + 3 + 5x - 2 = 8x - 11

7x + 1 = 8x - 11

x = 12

Plug x back into the exterior angle outside angle

8(12)-11

96-11

85

Answer:

C. 418 cm²

Step-by-step explanation:

Rectangle

= s × s

= 19 × 19

= 361 cm²

Triangle

= 1/2 × 6 × 19

= 57 cm²

361 + 57 = 418 cm²

So, therefore your answer is 418 cm²

The number of cubes that are needed to complete fill the box are 120 boxes .

To find the number of cubes, you first need to find the volume of a single 1 inch cubes to be:

= 1 x 1 x 1

= 1 inch ³

Then, find the volume of the entire box to be :

= Length x Width x Height

= 8 x 3 x 5

= 24 x 5

= 120 inch ³

The number of boxes that would fill up the box would be :

= Volume of big box / Volume of 1 - inch box

= 120 / 1

= 120 boxes

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The simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The expression:

\(= \rm \dfrac{(g^3)(6^3)(p^7)}{(6)(g^2)(p^2)(p)}\)

After using the properties of integer exponent:

\(\rm =\dfrac{g^3\cdot \:6^2p^7}{g^2p^2p}\)

\(\rm =\dfrac{g\cdot \:6^2p^5}{p}\)

= g . 6² . p⁴

Thus, the simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.

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Answer:

1) 4/29

2) 3/29

3) 16/29

4) 23/29

5) 22/29

The logistic population growth model, dN/dt = rN (K N/K), describes a populations growth when an upper growth is assumed.This upper limit to growth is known as the carrying capacity (K), and as the population size (N) gets larger, (dN/dt) decreases.

The carrying capacity represents the maximum number of individuals that the environment can sustainably support with available resources and space.

It is the point at which the population's growth rate slows down and eventually reaches equilibrium.

As the population size (N) gets larger, the rate of change of population (dN/dt) decreases. This means that the population growth rate slows down as it approaches the carrying capacity.

When the population size is significantly smaller than the carrying capacity, the growth rate is relatively high as there are abundant resources available.

However, as the population size approaches the carrying capacity, resources become limited, competition increases, and factors like food availability, space, and environmental constraints start to exert a greater influence on population growth.

Eventually, as the population size reaches or nears the carrying capacity, the growth rate approaches zero, resulting in a stable population size.

This is because the population is in balance with the available resources, and the birth rate is approximately equal to the death rate.

At this point, the population maintains a relatively stable size over time, fluctuating around the carrying capacity in response to changes in environmental conditions or other factors.

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Answer:

D

Step-by-step explanation:

they are like terms

Answer:

Plan A last for 30 minutes

Plan B last for 45 minutes

Step-by-step explanation:

There are two plans:

Plan A

Plan B

Monday

Plan A=3 clients

Plan B=2 clients

Total hours=3

Tuesday

Plan A=5 clients

Plan B=6 clients

Total hours=7

The equation for the unknown

3A + 2B=3 (1)

5A + 6B=7 (2)

Multiply (1) by 3 and (2) by (1)

9A + 6B=9 (3)

5A + 6B=7 (4)

Subtract (4) from (3)

4A=2

Divide both sides by 4

4A/4 = 2/4

A=1/2 hours

Substitute A=1/2 into (1)

3A + 2B=3

3(1/2) +2B=3

3/2 + 2B=3

2B= 3 - 3/2

2B= 6-3/2

2B=3/2

Divide both sides by 2

B=3/2÷2

=3/2×1/2

B=3/4 hours

A=1/2 hours

B=3/4 hours

60 minutes=1 hour

A=1/2 hours

1/2 × 60 minutes

=60/2

=30 minutes

B=3/4 hours

=3/4×60 minutes

=180/4

=45 minutes

Plan A last for 30 minutes

Plan B last for 45 minutes

AnswerAverage pay per hour 19.15

Step-by-step explanation:

1750 + 2% = 1785 pay increase

1785 x 12 months = 21420 a year

21420 divided by 52 weeks in a year averages to 411.92 weekly

Divide 411.92 by the 45 hours of work is 19.15 per hour

Brainliest please, if correct.