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The probability of the sample mean being less than 25.3 is given as follows:

0.9713 = 97.13%.

The sample mean would not be considered unusual, as it has a probability that is greater than 5%.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 25, \sigma = 1.3, n = 68, s = \frac{1.3}{\sqrt{68}} = 0.1576\)

The probability of a score less than 25.3 is the p-value of Z when X = 25.3, hence:

Z = (25.3 - 25)/0.1576

Z = 1.9

Z = 1.9 has a p-value of 0.9713.

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Answer:

Yes, because the regression equation is based on the random sample.

Step-by-step explanation:

A simple linear regression model that describes the relationship between X and Y takes the form

Yi= ∝ + βXi + εi or

Y i= U(y.x) + εi

where εi's are the random errors. The random errors εi's are assumed to be independent of Xi and normally distributed with E(εi)= 0 and Var (εi)= σ²(y.x) , a constant for all Xi. These assumptions imply that Yi also have a common variance σ²(y.x) ,  as the only random element in the is  εi.

The estimated regression line Y= a+ bX is also the predictor of Yi= ∝ + βXi+ εi

. That is Y^ can also be used to predict an individual value Y0 of Yi rather than a mean value, corresponding to the given X0. To draw the inferences about Y0 we need to know it mean and variance.

Answer:

Below

Step-by-step explanation:

Put the numbers into the pythagorean theorem to see if true

12^2   + 15^2    =   18^2    ??????

144 + 225   =  324   ?????

369 = 324 ??????   <========= not true ....not a triple

The probability that it will not rain tomorrow is 56%, and the geometric models that represent the probability that it will rain tomorrow are:

Probabilities are used to determine the chances of events

The given probability is:

\(p= 44\%\) -- the probability that it will rain tomorrow

The probability that it will not rain tomorrow is calculated using the following complement rule

\(q= 1 -p\)

This gives

\(q= 1 -44\%\)

\(q= 56\%\)

This means that:

The probability that it will not rain tomorrow is 56%

Also, options (c) and (e) represent the geometric models that it will rain tomorrow

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0.23% probability that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years.

What is Central Limit Theorem ?

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean μ and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean μ and standard deviation s.

The central limit theorem will be used to find the probability (as a decimal) that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years.

Now we use the sampling distribution of the sample proportions, which have:

μ = p = 0.54

s = √{(p(1-p)/n)}

s =  √{(0.54x0.46)/555)}

s = 0.0212

The probability is the p-value of Z when X = 0.48. So

Z = (X- μ)/σ

By the Central Limit Theorem

Z = (X- μ)/s

Z = (0.48-0.54)/ 0.0212

Z = -2.84,  has a p-value of 0.0023.

0.0023 x 100% = 0.23%

This, 0.23% probability that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years.

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Answer:

16/8=2

Step-by-step explanation:

186 cm³ will be the surface area of the given figure.

To calculate the surface area of the given figure, we need to add the surface area of two cubes and reduce the area of the hidden part.

Thus,

Total surface area = Surface area of bigger cube + surface area of the smaller cube - 2* surface area of the hidden part.

So,

Total surface area = 6*(5*5)+6*(3*3)-2*(3*3)

Total surface area = 150+54-18

Total surface area = 186

Therefore, the surface area of the given figure will be 186 cm³.

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By doing a change of units, we know that he will need 40 pint jars to hold the whole volume of sauce.

We know that Joe makes tomato sauce to sell at a craft fair, and we know that he did make that sauce in 5-gallon batches.

We want to see how many jars do he need to hold these 5 gallons, so we need to perform a change of units.

Remember the relation:

1 gallon  = 8 pints.

So, for each gallon, he will need 8 pint jars, then for the 5 gallons, he will need:

5*8 pint jars = 40 pint jars.

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Solve the "f" function with substitute 4 and solve the "g" function with what we get for the "f" function.

f(4) = 2(8) + 3

f(4) = 16 + 3

f(4) = 19

g(19) = 4(19) - 1

g(19) = 76 - 1

g(19) = 75

Best of Luck!

The conclusion that they would arrive at based on the rejection region would be to reject the null hypothesis.

This is the region that tells us that we are not to accept the null. The conclusion would be to reject the null.

This happens when the rejection region is found to be around the area that is in the critical value.

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Answer:

I am not sure but the answer may be 36 w

Answer:

A.1600

Step-by-step explanation:

I hope its help keep safe

Answer:

Hello,

Step-by-step explanation:

\(1 < x\leq 5 \ \\\Longrightarrow\ 4 < 4x \leq 20 \ \\\Longrightarrow\ -1 < 4x-5 \leq 15 \\\Longrightarrow\ -1 < f(x) \leq 15 \\\\range=]-1; 15]\)

The range of the function f(x) = 4x - 5 will range from -1 to 15.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given that the function f(x) = 4x – 5 and the interval is  1 < x ≤ 5. The range will be calculated as,

1 < x ≤ 5

4 < 4x ≤ 20

4-5<4x - 5< 20-5

-1 < 4x - 5 < 15

Therefore, the range of the function f(x) = 4x - 5 will range from -1 to 15.

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The correct solution to 2x + 3(x +1) = 2(3x +1) - 4 is x = 5 (option A).

The given equation is a  linear equation. A linear equation is made up of a single variable that is raised to the power of one. A linear equation is a straight line that slopes either upward or downward when drawn on a graph.

Th form of a linear equation is:

y = mx + b

This is the given equation, 2x + 3(x +1) = 2(3x +1) - 4

In order to determine the value of x, take the following steps:

Expand the bracket: 2x + 3x + 3 = 6x + 2 - 4

Combine similar terms: 3 - 2 + 4 = 6x - 2x - 3x

Add similar terms together: 5 = x

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Answer:

The answer is C: 120

Step-by-step explanation:

Ok so to solve this, you need to know that when "of" is in an equation, it always means multiply.

So 62% of 196 = 62% * 196.

62%  * 196 = 121.52

Then you need to round 121.52 to the nearest option, which is Option C: 120.

Good luck on your assignment (or whatever this is)!! Have a nice day!!

Step-by-step explanation:

\( \frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4} \)

\( \frac{3}{4} 36 = 27\)

Answer:

Step-by-step explanation:

Product of 5 and a number:  5n

Six more than that would be 5n + 6

Finally, "six more than the product of 5 and a number, decreased by one" would be

5n + 6 - 1, or 5n + 5

Answer: A) 6 + 5n - 1

Step-by-step explanation: edge. 2022

Answer:

47

Step-by-step explanation:

22+25=47

Hope this helps.

Answer:

Step-by-step explanation:

If the box has 22 white and 25 black, you would add 22 and 25 to find the total amount

22+25= 47

There are 47 balls in the box

Hope this helps! ^^

Answer:

f=25

Step-by-step explanation:

24+1=25

25-1=24

The coffee mug when filled will weigh 460 g

From the question, we are to determine the weight of the mug if filled with water

From the given information,

The weight of the coffee mug is 200 g and holds 260cm³.

If filled with water, the volume of the water will be 260cm³.

Now, we will determine the mass of this volume of water

Using the formula,

Density = Mass/Volume

∴ Mass = Density × Volume

Volume = 260 cm³

Density of water =  1 g/cm³

∴ Mass of the water = 1 × 260

Mass of the water = 260 g

Mass of the coffee mug when filled with water = Mass of the coffee mug when empty + Mass of water  

Mass of the coffee mug when filled with water = 200 g + 260 g

Mass of the coffee mug when filled with water = 460 g

Hence, the coffee mug when filled will weigh 460 g

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Answer:

x^(2/3)

Step-by-step explanation:

∛x^2

Formula : -

∛n = n^(1/3)    ( in exponential form )

Here,

n = x^2

∛x^2 = (x^2)^(1/3)

Formula : -

(a^x)^(y) = a^xy

Here,

a = x

x = 2

y = 1/3

∛x^2 = x^(2 * 1/3) = x^(2/3)

Hence, expressed in exponential form.

Answer:

x^2/3

Step-by-step explanation:

The ∛cube root is written with exponent 1/3 so:

∛(x^2)

= (x^2 )^1/3

= x^2/3.

Answer:

x = sqrroot(5)

Step-by-step explanation:

The radical form of x²=5 is x= ±√5.

The √ symbol that is used to denote square root or nth roots.

An expression with a square root is referred to as a radical expression. Radicand: A value or phrase included within the radical symbol.

Radical notation is the usage of a root in an expression, such as the square or cube root.

For example,  radical form is ∛3 = √27.

Given:

x²=5

Now, we have to write it in the radical form.

So, we can write

x= ±√5

Hence, the radical form of x²=5 is x= ±√5.

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Answer:

True

Step-by-step explanation:

Slope:

The slope of an equation represents how the y value changes as the x values changes, defined as: \(\frac{\text{change in y}}{\text{change in x}}\), so the slope of 60 can be represented as: \(\frac{60}{1}\), which tells us the amount of water (y-axis) increases by 60 units each hour (x-axis), or in other words, the rate at which the amount of water changes each hour.

Answer:

26√5 + 2√10

hope it helps and your day will be full of happiness

Answer:

d) 26√5 + 2√10

Step-by-step explanation:

Given equation,

→ 2√5(13 + √2)

Simplifying the given expression,

→ 2√5(13 + √2)

→ 26√5 + 2√10

Hence, option (d) is the answer.

Answer:

-1, 0, -1

f(x)=-1(x+0)^2-1

Step-by-step explanation:

vertex translated from (0,0) to (0,-1), so the function translated down by -1

f(x)=a(x-0)^2 -1

substitute (1,-2) to solve a,

a(1-0)^2 -1 = a-1 = -2

a=-1

thus, f(x)=-1 (x+0)^2 -1

Answer:

Ok

Step-by-step explanation:

To add these two fractions, you have to find a common denominator. The closest one is 8, so to get to that it is 1/4*2. That is equal to 2/8 + 1/8. that is 4/8, and when multiplied by 2 it equals 8/16, not 5/16.

The length of the deck is 26.5 feet. Each post needs to be apart 6 feet from the others. To find the number of posts that will be used we need to divide the length of the deck by the distance between the posts.

Since there can't be 0.42 posts, there will be 4 posts on the deck.

Step-by-step explanation:

The correct response to the first question is: "She has a positive net worth which means her assets are greater than her liabilities."

The correct response to the second question is: "subtracting liabilities from assets."

To answer the third question, we need to subtract Jen's total liabilities ($2,670 + $3,622 = $6,292) from her total assets ($8,794). Therefore, her net worth is $2,502. The correct response is "$2,502."

Answer: y=3(4)x

Explanation: I took the test

The function represented in the graph is y = 3 (4ˣ).

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

From the given graph, consider any point.

Consider the point (0, 3).

That is, when x = 0, the value of y is 3.

We have the parent function as,

y = 4ˣ

Then the function represented will be of the form,

y = m (4ˣ)

Substitute the point (0, 3).

3 = m (4⁰)

3 = m × 1   [since any number raised to 0 is 1]

m = 3

So the function is y = 3 (4ˣ).

Hence the function is y = 3 (4ˣ).

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