Find the point-slope equation of the line using the point (1,2) and slope of 3/2.

Use the slash key (/) to indicate a fraction.

Answer:

$1.26

Step-by-step explanation:

total: 16.2 (3.24 * 5)

4.55 + 2.53 + 2.82 + 4.66 = 14.56

16.2 - 14.56 = 1.26

The price of the fifth item in W's bag is $1.55 if the mean price of all five items is $3.24.

A mean is one of the measures of central tendencies and is the average value of a group of observations. It is the ratio of the sum of all observations to the total number of observations.

The prices of the 4 items out of the 5 items W has bought are given as follows:

$4.55, $2.53, $2.82, $4.66

It is also given that the mean cost for each item is $3.24.

Let the price of the fifth item be x, then according to the question;

[tex]\dfrac{ 4.55+ 2.53+2.82+4.66+x}{5} = 3.24\\14.65 + x = 3.24 \times 5\\14.65 + x = 16.2\\x = 1.55[/tex]

Therefore, the price of the fifth item in the bag is $1.55.

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Answer:

$6.30

Step-by-step explanation:

A sharpener is 0.90 in dollars, so 3*0.9 is 2.7. 10-2.7=6.3, so the answer should be $6.30

Answer:

You will be remembered as a bad student who failed a state test in 9th grade!

Hope it helps!

Answer:

It depends on the grade or school some schools let you retake the test if you fail it you might fail that class and take the same class for 10th

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex]1\frac{1}{3}\times2\frac{1}{3}\\= \frac{4}{3}\times\frac{7}{3}\\= \frac{28}{9}\\= \frac{27+1}{9}\\=\frac{27}{9}+\frac{1}{9}\\=3+\frac{1}{9}\\=3\frac{1}{9}[/tex]yd²

Answer:

hello

[( 2 ² * 6 ⁰ ) / 7 ] ³

=  ( 2 ⁶ * 1 ³) / 7 ³

= ( 64 *1 ) / 343

=   64/343

Step-by-step explanation:

Answer:

Choice c, 3.3

Step-by-step explanation:

To find out the vaule of X, we have to divided -9.24 by 2.8. We have to divided because when X and next to a number, it means to multiply, and the opposite of multiplication is division. To double check to determine whether or not the answer is correct, simply multiply -3.3 by 2.8 and you will get -9.24.

Answer:

slope = -1/3

Step-by-step explanation:

x+3y=15

-x         3y=-x+15

divide by 3       y= -1/3x -5

Answer:

10

Step-by-step explanation:

The sum of the measures of the angles of a triangle.is 180 degrees, so:

3x-2+8x-5+7x+7=180

18x=180

x=10

Answer:

bottom graph of left picture

Step-by-step explanation:

For each day he makes his bed, he earns $0.50

In 1 day he earns $0.50

In 2 days he earns $1.00

In 3 days, he earns $1.50

...

In 8 days, he earns $4.00

Look in the 4 graphs.

Which graph has the following points, (1, 0.5), (2, 1), 3, 1.5), ... , (8, 4)?

It is the second graph (bottom graph of left picture.)

The total surface area of the figure is 862ft²

The composite figure is made up of a pyramid and prism

Surface area of pyramid = 2(13*9) + (10*9) + (10*12)
Surface area of pyramid = 234 + 90 +120

Surface area of pyramid = 444ft²

For the rectangular prism

Surface area  = 2(11*9) + 2(10 * 11)

Surface area = 198 + 220
Surface area = 418ft²

Surface area of figure = 444 + 418

Surface area of figure = 862ft²

Hence the total surface area of the figure is 862ft²

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Answer:

1,3,5

Step-by-step explanation:

1-The first one because you move to the left one place value

2-the value is not 10 times greater it is ten times smaller because it moves to the right one value

3-yes, the 8 is ten times greater because it moved to the right one place value

4-This is not true because if it was 1/10th the value it needs to be ten times smaller, not ten times greater

5- this is true because it moves to the right by one place value

6- this is not true because it is ten times greater not ten times smaller

Hope this helps you out!

Answer:

x = √80

Step-by-step explanation:

Let's find the hypotenuse of the top side triangle.

Using the Pyth. Theorem:

Let y be the hypotenuse of the top side triangle:

2^2 + 4^2 = y^2

y = √20

Now, the rectangle facing us is formed by two indentical triangles, therefore the bottom side of the triangle is also y = √20 .

Using the Pyth.Theorem again, we can find x:

x^2 + (√20)^2 = 10^2

x = √80 .

Answer:

x = 29

Step-by-step explanation:

(6x-1) = (5x+28)

or, 6x-1 = 5x+28

or, 6x-5x = 28+1

or, x = 29

Answer:

42

Step-by-step explanation:

Answer:

n > -1/4

Step-by-step explanation:

-28n < 7

Divide by -28 on both sides

-28/-28n < 7/-28

Flip the inequality symbol when dividing by a negative number.

n > -7/28

which simplifies to

n > -1/4

Answer:

n greater than or equal to -1/4

Step-by-step explanation:

Answer:

I think it is 3600

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{x^2 + 8x = 0}\\\larg\text{Firstly: FACTOR the LEFT SIDE of the equation}\\\mathsf{\rightarrow x(x + 8) = 0}\\\large\text{Secondly: SET the FACTORS to equal to 0}\\\mathsf{\rightarrow x \approx 0\ or \ x + 8 = 0}\\\large\text{Thirdly: SIMPLIFY}\\\mathsf{\rightarrow x = 0\ or \ x = -8}\\\huge\text{Therefore, your answer is: \boxed{\mathsf{x = 0\ or\ x = -8}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

c

Step-by-step explanation:

basic theory, can't explain further.

Answer: y=6

Step-by-step: 2(−6)+3=18 distributed into 2−12+3=18

Next, Combine Like Terms.

2−12+3=18

5−12=18

Wait oh, you wanted the. Oh. Well the distribution of it is 2y-12+3y=18. Sorry!

Answer:

g

Step-by-step explanation:

The sale of the four different sizes is an illustration of the Goodness of Fit Tests

The expected counts for each size box are 0.8, 3.6, 36.6 and 4.05 respectively

The null hypothesis is always represented by the equality sign i.e. 0 change or no change.

While the alternate hypothesis is always represented by an inequality.

So, the null and the alternate hypotheses are:

This calculated as:

E(x) = np

So, we have:

Small = 8 * 10% = 0.8

Medium = 24 * 15% = 3.6

Large = 61 * 60% = 36.6

Jumbo = 27 * 15% = 4.05

Hence, the expected counts for each size box are 0.8, 3.6, 36.6 and 4.05 respectively

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Answer:

The 95% confidence interval   [tex] 81.852  <  \mu <  280.098 [/tex]

Step-by-step explanation:

From the question we are told that

   The  sample mean is  [tex]\= x  =  180.975[/tex]

   The standard deviation is  [tex]\sigma  =  143.042[/tex]

   The sample size is n = 8

Given that the confidence level is  95%  then the level of significance is  

    [tex]\alpha =( 100- 95) \%[/tex]

=>  [tex]\alpha =0.05[/tex]    

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>  [tex]E = 1.96 *  \frac{ 143.042 }{\sqrt{8} }[/tex]

=>  [tex]E = 99.123 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>    [tex]180.975 -99.123 <  p <  180.975 +99.123[/tex]

=>    [tex] 81.852  <  \mu <  280.098 [/tex]

Using the t-distribution, it is found that the 95% confidence interval for the mean endowment of all the private colleges in the United States assuming a normal distribution for the endowments, in millions of dollars, is (61.39, 300.56).

The information given is:

We have the standard deviation for the sample, hence, the t-distribution is used.

The interval is given by:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

The critical value for a two-tailed 95% confidence interval with 8 - 1 = 7 df is t = 2.3646.

Then:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 180.975 - 2.3646\frac{143.042}{\sqrt{8}} = 61.39[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 180.975 + 2.3646\frac{143.042}{\sqrt{8}} = 300.56[/tex]

The 95% confidence interval for the mean endowment of all the private colleges in the United States assuming a normal distribution for the endowments, in millions of dollars, is (61.39, 300.56).

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The sample mean is an estimate of the population mean.

The sample mean is exactly equal to the population mean

When the population mean is known; the value of the population mean can be used as the sample mean.

This is so because:

The sample mean is an estimate of the population mean.

And it is represented as:

[tex]\bar x = \mu[/tex]

Hence, the true statement is that the sample mean is exactly equal to the population mean

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Answer: Triangle ADB is congruent to CBD

Step-by-step explanation:

S1: Try to measure the sides to look alike.

S2: Compare your answers to someone in your class!!!

Answer:

72/100

Step-by-step explanation:

hope this helps!

Answer:

18/25

Step-by-step explanation:

Answer:

The answer is 12. In 3 cups of chocolate, there are 12 1/4 cup in them.

Step-by-step explanation:

each 1 cup had four  1/4 cup in them. So 4 times 3 cups is 12.

There are 12 servings of 1/4 cup in 3 cups of chocolate.

The term "serving" typically refers to a specified portion or amount of food or drink that is recommended or commonly consumed at one time. It helps in providing a standard measurement for nutritional information and portion control.

To determine the number of 1/4 cup servings in 3 cups of chocolate, we need to calculate the total number of 1/4 cup servings that can be made from the given amount.

1. One cup is equal to 4 quarters (1 cup = 4 × 1/4 cup).

2. To find the number of 1/4 cup servings in 3 cups, multiply 3 cups by the conversion factor (4 × 1/4 cup) for each cup.

3 cups × (4 × 1/4 cup) = 3 cups × 1 cup = 3 cups

Therefore, there are 3 * 4 = 12 servings of 1/4 cup in 3 cups of chocolate.

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Answer:

B

Step-by-step explanation:

Ed2021

Answer:

They are adding 2 by each number.

A set of numbers is a group of numbers that are related in one way or the other. The statement that best describes the set is:

The set of even numbers from 14 to 22

Given that:

[tex]Set = 14\ 16\ 18\ 20\ 22[/tex]

From the above set of numbers, we have the following observations

So, we can describe the set using the following statement:

The set of even numbers from 14 to 22

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There are 10,626 ways of arranging the required offices from a body of 24 students.

Combination deals with the way in which a arrangement can be made from a particular lot. In  this case, we want to select  a president, minister of Arts, minister of PE department, and minister of Science from a body of 24 students.

Hence;

24C4 = 24!/4! (24 - 4)! = 24!/4!20!

So;

24 * 23 * 22 * 21 * 20!/20! * 4 * 3 * 2*1

= 24 * 23 * 22 * 21 / 4 * 3 * 2*1

= 10,626 ways

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