The difference between five times a number and eight more than two times the number.

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

   C

b

    C

c

    C

d  

     A

Step-by-step explanation:

From the question we are told that

    The population mean is  \(\mu = 0.5 \ in\)

Generally the Null hypothesis is  \(H_o : \mu = 0. 5 \ in\)

                The Alternative hypothesis is  \(H_a : \mu \ne 0.5 \ in\)

Considering the parameter given for part a  

       The sample size is  n =  15  

        The  test statistics is  t =  1.66

        The level of significance \(\alpha = 0.05\)

The degree of freedom is evaluated as

            \(df = n- 1\)

           \(df = 15- 1\)

           \(df = 14\)

Using the critical value calculator at (social science statistics web site )  

           \(t_{\frac{\alpha}{2} ,df } = t_{\frac{0.05 }{2} ,14} = 2.145\)

We are making use of this  \(t_{\frac{\alpha }{2} }\) because it is a one-tail test

Looking at the value of  t and \(t_{\frac{\alpha }{2} }\) the we see that  \(t < t_{\frac{\alpha }{2} }\) so the null hypothesis would not be rejected

Considering the parameter given for part b  

       The sample size is  n =  15  

        The  test statistics is  t =  -1.66

        The level of significance \(\alpha = 0.05\)

The degree of freedom is evaluated as

            \(df = n- 1\)

           \(df = 15- 1\)

           \(df = 14\)

Using the critical value calculator at (social science statistics web site )  

           \(t_{\frac{\alpha}{2} ,df } = t_{\frac{0.05 }{2} ,14} = -2.145\)

Looking at the value of  t and \(t_{\frac{\alpha}{2} ,df }\) the we see that t does not lie in the area covered by  \(t_{\frac{\alpha}{2} , df }\) (i.e the area from -2.145 downwards on the normal distribution curve ) hence we fail to reject the null hypothesis

Considering the parameter given for part  c

       The sample size is  n =  26  

        The  test statistics is  t =  -2.55

        The level of significance \(\alpha = 0.01\)

The degree of freedom is evaluated as

            \(df = n- 1\)

           \(df = 26- 1\)

           \(df = 25\)

Using the critical value calculator at (social science statistics web site )  

           \(t_{\frac{\alpha}{2} ,df } = t_{\frac{0.01 }{2} ,25} = 2.787\)

Looking at the value of  t and \(t_{\frac{\alpha }{2} }\) the we see that t does not lie in the area covered by  \(t_{\alpha , df }\) (i.e the area from -2.787 downwards on the normal distribution curve ) hence we fail to reject the null hypothesis

Considering the parameter given for part  d

       The sample size is  n =  26  

        The  test statistics is  t =  -3.95

        The level of significance \(\alpha = 0.01\)

The degree of freedom is evaluated as

            \(df = n- 1\)

           \(df = 26- 1\)

           \(df = 25\)

Using the critical value calculator at (social science statistics web site )  

           \(t_{\frac{\alpha}{2} ,df } = t_{\frac{0.01 }{2} ,25} = -2.787\)

Looking at the value of  t and \(t_{\frac{\alpha}{2} }\) the we see that  t  lies in the area covered by  \(t_{\alpha , df }\) (i.e the area from -2.787 downwards on the normal distribution curve ) hence we  reject the null hypothesis

Answer:

1+1=2

Thank you

have a great

Answer:

2

Step-by-step explanation:

if u have one object and acquire another you have 2 objects.

Answer:

(X'U'Y) + (XUY')

Step-by-step explanation:

Starting with [Xn(X'nY)]', we can use De Morgan's laws to simplify the expression:

[Xn(X'nY)]' = (Xn)' + (X'nY)'

Recall that Xn represents the logical operator "and", while X' represents "not X". Using these definitions, we can expand the expression:

(Xn)' + (X'nY)' = (X'U'Y) + (XUY')

where U represents the logical operator "or".

Therefore, [Xn(X'nY)]' simplifies to (X'U'Y) + (XUY').

The next numbers in the series will be 0,1,-2,-1,0,-3,-2,-1........

This refers to a pattern of arranging numbers. In the number series problems, we will have to make the rules that result in the formation of a number series.

From the question:

1, 2, 3, 0, 1, 2, -1

First value plus one, second value plus one, Third value minus three. Then the pattern starts afresh again.

1 +1 = 2

2 + 1 = 3

3 -3 =0

0+1  = 1

1 + 1 = 2

2 -3 =-1

-1 + 1 =0

0 + 1 =1

1  - 3 = -2

-2 + 1 = -1

-1 + 1 = 0

0 -3 = -3

-3 + 1 = -2

-2 + 1= -1

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Answer:

80 meters squared

Step-by-step explanation:

Answer: 3 x 3 x 5 x 5 x 7 x 11.

Step-by-step explanation:

Prime Factors of 17325 are 3, 5, 7, 11, and usually expressed as 3 x 3 x 5 x 5 x 7 x 11.

Answer:

Step-by-step explanation:

The following is the information provided

number of students is 5

The number of math major = 3

The number of statistic major = 2

Label math students as A, B, C

And statistic students as D, E

The total number of ways to select two students from 5 students is 10

The sample space is S = {AB,AC,BC,AD,AE,BD,BE,CD,CE,DE}

Yes , in the sample space the events are equally alike

What is the probability that both selected students are statistics majors

The selected students of statistic major are DE

the probability that both selected students are statistics majors is \(\frac{1}{10}\)

= 1/10

What is the probability that both students are math majors

The selected students of statistic major are AC,AB,BC

the probability that both selected students are math majors is \(\frac{3}{10}\)

= 3/10

What is the probability that at least one of the students selected is a statistics major

Number of ways to select at least one of the students selected is a statistic major is {AD,AE,BD,BE,CD,CE,DE}

the probability that at least one of the students selected is a statistics major is \(\frac{7}{10}\)

7/10

What is the probability that the selected students have different majors

Number of ways to select students with different major is  {AD,AE,BD,BE,CD,CE,}

the probability that the selected students have different majors is \(\frac{6}{10}\)

6/10

Answer:

To find the effective annual rate (EAR) of an account that pays interest at the nominal rate of 7% per year, compounded daily, we can use the following formula:

EAR = (1 + r/n)^n - 1

where r is the nominal annual interest rate (expressed as a decimal), and n is the number of times the interest is compounded in a year.

For daily compounding, n = 365 (since there are 365 days in a year), so we have:

EAR = (1 + 0.07/365)^365 - 1 = 0.0725 or 7.25%

To find the effective annual rate for hourly compounding, we need to adjust the value of n to account for the fact that interest is compounded more frequently. There are 365 days * 24 hours = 8,760 hours in a year, so we can use n = 8,760:

EAR = (1 + 0.07/8760)^8760 - 1 ≈ 0.0727 or 7.27%

Therefore, the effective annual rate for hourly compounding is approximately 7.27%.

\(\boxed{ \sf{Answer}} \)

\( \sf \: 3(3x - 4) - 5(x + 3) \\ \sf =( 3 \times 3x) - (3 \times 4) + ( - 5 \times x) +( - 5 \times 3 ) \\ \sf = 9x - 12 - 5x - 15 \\ \sf = 9x - 5x - 12 - 15 \\ = \underline{ \bf 4x - 27}\)

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

\(\\ \sf\longmapsto 3(3x-4)-5(x+3)\)

\(\\ \sf\longmapsto 9x-12-5x-15\)

\(\\ \sf\longmapsto 9x-5x-15-12\)

\(\\ \sf\longmapsto (9-5)x-27\)

\(\\ \sf\longmapsto 4x-27\)

Graphs that demonstrate the relationship between two numerical variables include scatter plots. Option B is not correct and the remaining are true.

Given that,

Graphs that demonstrate the relationship between two numerical variables include scatter plots. They therefore endorse a linear relationship.

Option A: This statement fits our definition from earlier, hence it is true.

Option B: This statement is incorrect since it only establishes a linear relationship between two numerical variables; it doesn't explain how one number will change over time.

Option C is the best choice because each point on the scatter plot serves as a coordinate for a distinct piece of data.

Option D is the best choice because we can estimate values for the correlation between the two numerical variables using the scatter plot.

Therefore, Option B is not correct and the remaining are true.

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Answer:

No.

It doesn’t pass through the origin point.

Step-by-step explanation:

Remember that for a graph to represent a proportional relationship, it must meet the following three criteria:

Our graph is indeed a line.

It is also not vertical or horizontal.

However, it does not pass through the origin point (0, 0).

Therefore, this graph is not a proportional relationship.

9514 1404 393

Answer:

  2√3 ≈ 3.4641016

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  (4x +4)^(1/2) at x=2 is ...

  (4·2 +4)^(1/2) = 12^(1/2) = 2√3 ≈ 3.4641016

__

Additional comment

If you really mean (4x+4)^1/2, then you have 12^1/2 = 12/2 = 6.

If the exponent is 1/2, it needs to be in parentheses.

Answer:

200,000 + 40,000 + 3.000 + 200 + 70 + 5

Step-by-step explanation:

Answer:

243.275 = (2 * 100) * (4 * 10) * (3 * 1) * (2 * 1/10) * (7 * 1/100) * (5 * 1/1,000)

Step-by-step explanation:

Hope this helps! :)

The mode of the data represented in this line plot will be 8.

Simply counting how several times each number looks in the data set can help you identify the mode, which is the integer that repeats the most frequently in the collected data. The figure with the largest total is the mode.

The value that appears the most frequently in data collection is its mode. By examining the line plot, we can observe that the number 8 and the six Xs above it are the most commonly occurring values. Consequently, 8 represents the data set's mode.

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Scatter plots show the correlation between variables on a graph

The function is given as:

Predicted Web Sites Visited per Day =120−1.5 ⋅ Age

A linear regression equation is represented as:

y =mx + b

Where m represents the slope, and b represents the y-intercept

Hence, the slope is -1.5 and the y-intercept is 120

The slope is the quotient of the y-axis and the x-axis.

Hence. the unit of the slope is the website visit per age and the unit of the y-intercept is website visit

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Answer:She can use these 120 pounds of flour for 30 months, if that's what you are asking.

Step-by-step explanation:  

120÷4=30

Answer:

2x is the greatest common factor.

Step-by-step explanation:

Looking for what they have in common and what is the highest number they can both go into.

Answer:

19 pizza

Step-by-step explanation:

4+5+10=19 pizza

Answer:

The picture is to blurry to read

Step-by-step explanation:

The position vector of point P, MP, is given by MP = 6i - j.

To find the position vector of point P, which is the midpoint of NO, we can use the midpoint formula.

The midpoint formula states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by:

Midpoint (Mᵖ) = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Let's find the position vector of point P using the given information:

Point N: N = 4i - 5j

Point O: O = 8i + 3j

Using the midpoint formula, we can find the coordinates of point P:

x-coordinate of P: (x₁ + x₂) / 2 = (4i + 8i) / 2 = 12i / 2 = 6i

y-coordinate of P: (y₁ + y₂) / 2 = (-5j + 3j) / 2 = -2j / 2 = -j

Therefore, the position vector of point P, MP, is given by:

MP = 6i - j

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Answer:

V = 3312 ft^3

Step-by-step explanation:

This figure is formed from a rectangular prism and a square-based pyramid

Given:

h (prism) = 11 ft

a (prism's base) = a (pyramid's base) = 12 × 18 = 216 ft^2

h (pyramid) = 24 - 11 = 13 ft

First, we can find the volume of the prism:

\(v(prism) = a(base) \times h\)

\(v(prism) =216\times 11 = 2376 \: {ft}^{3} \)

Now, let's find the volume of the pyramid:

\(v(pyramid) = \frac{1}{3} \times a(base) \times h\)

\(v(pyramid) = \frac{1}{3} \times 216 \times 13 = 936 \: {ft}^{3} \)

In order to find the total volume of the given figure, we have to add these 2 volumes together:

\(v(total) = 2376 + 936 = 3312 \: {ft}^{3} \)

The dimensions of the box is a height of 8 inches, width of 32 inches and length of 40 inches.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the shipping box. Hence:

h = (1/5) * length

Length = 5h

h = (1/4) * width

Width = 4h

Volume of the box = height * width * length = h * 5h * 4h

Width = 4h

h = 8 in

Length = 5(8) = 40 in

Width = 4(8) = 32 in

The dimensions of the box is a height of 8 inches, width of 32 inches and length of 40 inches.

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THIS IS THE COMPLETE QUESTION BELOW

The demand equation for a product is p=90000/400+3x where p is the price (in dollars) and x is the number of units (in thousands). Find the average price p on the interval 40 ≤ x ≤ 50.

Answer

$168.27

Step by step Explanation

Given p=90000/400+3x

With the limits of 40 to 50

Then we need the integral in the form below to find the average price

1/(g-d)∫ⁿₐf(x)dx

Where n= 40 and a= 50, then if we substitute p and the limits then we integrate

1/(50-40)∫⁵⁰₄₀(90000/400+3x)

1/10∫⁵⁰₄₀(90000/400+3x)

If we perform some factorization we have

90000/(10)(3)∫3dx/(400+3x)

3000[ln400+3x]₄₀⁵⁰

Then let substitute the upper and lower limits we have

3000[ln400+3(50)]-ln[400+3(40]

30000[ln550-ln520]

3000[6.3099×6.254]

3000[0.056]

=168.27

the average price p on the interval 40 ≤ x ≤ 50 is

=$168.27

Answer:

Final answer

= 6y²

Step-by-step explanation:

12y² - 6y²

= 6y²

Insecticides = 14/100 x 5 = 0.7

Answer:

D

Step-by-step explanation:

i already did the test

Answer:

d

Step-by-step explanation:

Answer:

1024

Step-by-step explanation:

The number of flavor shot combinations possible is; 8.71782912 × 10¹⁰ combinations.

According to the question;

In essence, the total number of flavour shot Combinations that are possible can be evaluated as;

14!

which can be evaluated mathematically as follows;

The result of the evaluation is therefore; 8.71782912 × 10¹⁰ combinations.

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