a) Find the total mass in kilograms of 3500 books, each with mass 800.
b) If the total mass of 8000 apples is 1.04 tonnes, what is the average mass of one apple?​

Answer: 40 cm

Step-by-step explanation:

The wooden frame needed = perimeter of the drawing
The length of the picture: 96 :8 = 12cm
The perimeter: (12 + 8) x 2 = 40 cm

Answer:

B

Step-by-step explanation:

They basically give the answer.

Answer:

I am a bit confused. You stated that "Sabrina is going to make 1, batches of cookies" and you also wrote "for one batch of cookies, Sabrina needs 2 cups of flour." Hence, your answer should be 2 cups like you previously stated. However, I think that the question is wrong.

Step-by-step explanation:

Answer:

Please find the complete question and its solution in the below section.

Step-by-step explanation:

Follows are the null and alternative Hypothesis:

Null Hypothesis [tex]H_0: \mu = 2.68[/tex]

Alternative Hypothesis[tex]H_a: \mu < 2.68[/tex]

Answer:

57/100

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The correct statement about the interpretation of the interval is

We are 95% confident that the mean number of hours worked per week for employed adults in the sample is between 41.18 hours and 42.63 hours.

Option D is the correct answer.

A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.

It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.

We have,

We are 95% confident that the mean number of hours worked per week for employed adults in the sample is between 41.18 hours and 42.63 hours.

This is the correct interpretation of the 95% confidence interval given for the mean number of hours worked per week for all employed adults, based on the data collected from the random sample of 1,501 employed adults.

It means that if we were to take many random samples of 1,501 employed adults from the population and calculate the mean number of hours worked per week for each sample, we can be 95% confident that the true population mean lies between 41.18 hours and 42.63 hours.

Thus,

The correct statement about the interpretation of the interval is

We are 95% confident that the mean number of hours worked per week for employed adults in the sample is between 41.18 hours and 42.63 hours.

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Answer:

8.2 m

Step-by-step explanation:

To solve the problem, we use pythagorean theorem, which is a^2 + b^2 = c^2. We are given both the legs, so we can substitute them in:

8^2 + 2^2 = c^2

And simplify to get:

c^2 = 64 + 4

c^2 = 68

Now, we find the square root of both sides to isolate c:

c = √68

√68 is approximately 8.24621125124

This rounded to the nearest tenth is 8.2 m

Answer:

(a)

[tex]List = \{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),\\(4,1),(4,2),(4,3).(4,4)\}[/tex]

(b) Sampling Distribution (Table)

[tex]\begin{array}{cccccccc}{\bar x} & {1} & {1.5} & {2} & {2.5} & {3} & {3.5} & {4} & {Pr}& {\frac{1}{16}} & {\frac{1}{8}} & {\frac{3}{16}} & {\frac{1}{4}} & {\frac{3}{16}} & {\frac{1}{8}} & {\frac{1}{16}} \ \end{array}[/tex]

(b) Sampling Distribution (Histogram)

See attachment

Step-by-step explanation:

Given

[tex]Set = \{1,2,3,4\}[/tex]

[tex]n =4[/tex]

Solving (a): A list of sample size 2

We have:

[tex]n =4[/tex]

[tex]r = 2[/tex] --- the sample size

First, we calculate the number of list using permutation (orders matter)

[tex]n(List) = n^r[/tex]

So, we have:

[tex]n(List) = 4^2[/tex]

[tex]n(List) = 16[/tex]

And the list is:

[tex]List = \{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),\\(4,1),(4,2),(4,3).(4,4)\}[/tex]

Solving (b): Sample distribution  of sample means of (a)

First, calculate the mean of each set using:

[tex]Mean = \frac{Sum}{2}[/tex]

So, we have:

[tex](1,1) \to \frac{1+1}{2} \to 1[/tex]       [tex](1,2) \to \frac{1+2}{2} \to 1.5[/tex]    [tex](1,3) \to \frac{1+3}{2} \to 2[/tex]    [tex](1,4) \to \frac{1+4}{2} \to 2.5[/tex]

[tex](2,1) \to \frac{2+1}{2} \to 1.5[/tex]    [tex](2,2) \to \frac{2+2}{2} \to 2[/tex]     [tex](2,3) \to \frac{2+3}{2} \to 2.5[/tex]    [tex](2,4) \to \frac{2+4}{2} \to 3[/tex]

[tex](3,1) \to \frac{3+1}{2} \to 2[/tex]       [tex](3,2) \to \frac{3+2}{2} \to 2.5[/tex]    [tex](3,3) \to \frac{3+3}{2} \to 3[/tex]    [tex](3,4) \to \frac{3+4}{2} \to 3.5[/tex]

[tex](4,1) \to \frac{4+1}{2} \to 2.5[/tex]    [tex](4,2) \to \frac{4+2}{2} \to 3[/tex]    [tex](4,3) \to \frac{4+3}{2} \to 3.5[/tex]    [tex](4,4) \to \frac{4+4}{2} \to 4[/tex]

Write out the sample means (sorted)

[tex]\bar x =\{1,1.5,1.5,2,2,2,2.5,2.5,2.5,2.5,3,3,3,3.5,3.5,4\}[/tex]

Construct a frequency table

[tex]\begin{array}{cc}{\bar x} & {f} & {1} & {1} & {1.5} & {2} & {2} & {3} & {2.5} & {4} & {3} & {3} & {3.5} &{2} & {4} & {1} & Total & 16\ \end{array}[/tex]

Construct the sampling distribution where the probability is calculated using: [tex]\frac{f}{Total}[/tex]

So, we have:

[tex]\begin{array}{cccccccc}{\bar x} & {1} & {1.5} & {2} & {2.5} & {3} & {3.5} & {4} & {Pr}& {\frac{1}{16}} & {\frac{1}{8}} & {\frac{3}{16}} & {\frac{1}{4}} & {\frac{3}{16}} & {\frac{1}{8}} & {\frac{1}{16}} \ \end{array}[/tex]

Answer: 380.1

Step-by-step explanation:

v=h*pi*r^2

v=4*pi*5.5^2

v=380.1

Answer:

You started correctly....

Step-by-step explanation:

d = c/n      Multiply both sides by 'n'

dn = c        now divide both sides of the equation by 'd'

n = c/d       Done.

Answer:

I believe its C. If not then it is A. :D

Step-by-step explanation:

Answer:

Vertex: (-1,-4)

Axis of Symmetry: x=-1

Step-by-step explanation:

The vertex is the minimum of the parabola, or (h,k), which is located at (-1,-4)

The axis of symmetry is a vertical line that marks the halfway point of the parabola, which is equal to x=h. Therefore, the axis of symmetry is x=-1

Answer:

12

Step-by-step explanation:

4,5

6,13

12,24

So I belive it C

The equation that justifies  ten to the one third power equals the cube root of ten is ten to the one third power all raised to the third power equals ten to the one third times three power equals ten. Option B

we are to find [tex]10^{\frac{1}{3} } = \sqrt[3]{10}[/tex]

The justification has to be done with the use of the properties of powers as well as roots.

[tex]a^\frac{m}{n} = \sqrt[n]{a^m}[/tex]

then we would have:

[tex]\sqrt[3]{10} = \sqrt[3]{10^1} =10^\frac{1}{3}[/tex]

then we would have

[tex](10^\frac{1}{3} )^3\\\\= 10^\frac{3}{3}[/tex]

= 10

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The maturity value of the loan based on the calculation is $1227.72

From the information, single payment loan for $1200 repay in 120days interest rate is 7% and we want to calculate the maturity value of the loan.

It should be noted that the interest will be calculated as:

= Principal × Rate × Time

= 1200 × 7% × (120/360)

= 1200 × 0.07 × 0.33

= $27.72

Maturity amount = $1200 + $27.72

Maturity amount = $1227.72.

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Answer:

x = -0.5

Step-by-step explanation:

15- 6(x+1) = 12

> 15- 6x -6 = 12

>15 - 6x = 18

>-6x = 3

>x = -0.5

Answer:

1/2

Step-by-step explanation:

15-6(x+1)=12

15-6x-6=12

-6x=12+6-15

-6x=3

x=-1/2

Answer:

The function is neither even nor odd.

Step-by-step explanation:

A function is odd if:

f(x) = - (f-x)

A function is even if:

f(x) = f(-x)

A function is neither odd nor even if neither of the above two equalities are true, that is to say:

f(x) != f(-x) and f(x) != -f(-x)

Which is our case. (because substituting (-x) in place of (x) will not give us either of the equations. So the function is neither odd, nor even.

Answer:

B

Step-by-step explanation:

You must multiply 1/4 to 2/8 so you can subtract

Answer:

d. 52.5 million cases

Step-by-step explanation:

from the data output in the question, we have the regression equation to be

log y = -151.281 + 0.076577x

y is the number of hiv cases which is in millions

x is the year of the hiv case

x = 1998

we put the value of x in the regression equation

log y = -151.281 + 0.076577(1998)

log y = -151.281 + 153.000846

log y  = 1.719846

since the result is in log form,

[tex]y=10^{1.791846}[/tex]

y = 52.5 million cases

Answer: y = -150x + 1800

Step-by-step explanation:

1. Find the linear slope of the line between two points.

(Change in Y)/(Change in X)

2. Write out an equation in point slope form.

(y-y1) = m(x-x1)

y-1800 = -150(x-0)

3. Simplify the equation and turn it into slope-intercept form.

y = -150x + 1800

The complete statement about the product of the polynomials is that:

The product of f(x) and g(x) is always a polynomial because the coefficients are real numbers and the exponents are whole numbers. Real numbers and whole numbers are closed under addition

From the question, we have the following parameters that can be used in our computation:

Polynomials f(x) and g(x)

When these polynomials are multiplied;

We get another polynomial

This is because, when you multiply two polynomials you get a sum of monomials.

A sum of monomials is always a polynomial

The sum of monomials stated above implies that the whole exponents and the real coefficients are closed under addition

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Answer:

It is.... 9! i got it right on edgunity 2022! sorry plase exscuse my spelling! Step-by-step explanation:

He doesn't need a truck. He can buy an aeroplane.

Answer:

Jorgen would still have enough money for the truck.

Step-by-step explanation:

Seeing as - (or negative) 0000000000000... isn't a real number and you put a comma after the 123456789, Jorgen would actually have enough for the truck. If you actually wanted the truck to be worth 123456789000000000... Jorgen would need to save up more than 9 octovigintillion to reach his goal of getting the truck, and that is one expensive truck.

Answer:

12 yds

Step-by-step explanation:

I just answered it. :)))

Answer:

option C

Step-by-step explanation:

The answer is 12 yd. All you muxt do is find the volume.

Answer:

n

Step-by-step explanation:

[tex]\Bigg[\bigg[ [1/n]^{-1}\bigg]^{-1} \Bigg] ^{-1}[/tex]

=[tex]\bigg[ [1/n]^{-1}\bigg]^{(-1) (-1)}[/tex]

=[tex]\bigg[ [1/n]^{-1}\bigg]^{1}[/tex]

=[tex] [1/n]^{-1\times 1}[/tex]

=[tex] [1/n]^{-1}[/tex]

=[tex] [1/n^{-1}][/tex]

= n

Hope it helps you in your learning process

The area of garden will be 81 feet².

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Each side of the garden = 9 feet

We know that;

⇒ Area of square = Side²

Here, Each side of the garden = 9 feet

Hence, The area of garden = 9²

                                           = 81 feet²

Thus, The area of garden = 81 feet²

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The truth value of "If 3 + 4 = 12, then 3 + 2 = 6", is true.

Truth value is defined as whether the given proposition is either true or false, not both.

Here the proposition is of the form if p, then q.

Here p is the statement 3 + 4 = 12 and q is the statement 3 + 2 = 6.

Here, both of the propositions are false.

The truth value of 'if p, then q' is false only when p is true and q is false. In all other cases the truth value is true.

Here, since both of the statements are false, the truth value is true.

Hence the truth value of the given proposition is true.

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Answer:

1 unit to the left, 3 units down

Step-by-step explanation:

Take any point: I will take D. In order to get to D', you need to travel 1 unit along the x-axis towards the left, then 3 until along the y-axis downwards. The same applies for any other point.

Answer:

1 hour

Step-by-step explanation:

Each graph shown lasts for 1/2 hour / 30 minutes