Point A is (-7, 5) and point M is at (0, 4)

Point M is the midpoint of point A and Point B

What are the coordinates of point B

Is this qusioun as of today may 18?

Based on the dates given, you missed approximately 90 days of school. If your school year usually starts around August 25, you were in school for about 170 days out of a 180-day school year. That means you were in school for approximately 94.44% of the year.

To solve this question, first, we need to find the number of days missed. You mentioned your last day in school was March 13. Assuming today's date is June 13, that is approximately 3 months. As each month has about 30 days, then 3 months would total about 90 days missed from school. To summarize:

The second part of the question requires us to find the percentage of days you were in school. You mentioned that there are 180 school days in a year. If the last day was on March 13 and the school year usually begins around August 25, that would make approximately 170 days in school before the school closures. So, the calculation would be (170/180)*100% = approximately 94.44%. Hence, you were in school for approximately 94.44% of the year.

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Answer:

e) None of the above

Step-by-step explanation:

We are in posession of the sample's standard deviation, so we use the student t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 43 - 1 = 42

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 42 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0181

The margin of error is:

M = T*s = 2.0181*11.3 = 22.80

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 77.86 - 22.8 = 55.06

The upper end of the interval is the sample mean added to M. So it is 77.86 + 22.8 = 100.66.

So the correct answer is:

e) None of the above

Answer:

[tex]77.86-2.02\frac{11.30}{\sqrt{43}}=74.38[/tex]    

[tex]77.86+2.02\frac{11.30}{\sqrt{43}}=81.34[/tex]    

And for this cae none of the options satisfy the result so then the best option would be:

e) None of the above

Step-by-step explanation:

Information given by the problem

[tex]\bar X= 77.86[/tex] represent the sample mean for the score

[tex]\mu[/tex] population mean  

s=11.30 represent the sample standard deviation

n=43 represent the sample size  

Calculating the confidence interval

The confidence interval for the true mean of interest is given by:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

For this case the degrees of freedom are:

[tex]df=n-1=43-1=42[/tex]

The Confidence is 0.95 or 95%, the significance then is [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2 =0.025[/tex], the critical value for this case would be [tex]t_{\alpha/2}=2.02[/tex]

And replacing in equation (1) we got:

[tex]77.86-2.02\frac{11.30}{\sqrt{43}}=74.38[/tex]    

[tex]77.86+2.02\frac{11.30}{\sqrt{43}}=81.34[/tex]    

And for this cae none of the options satisfy the result so then the best option would be:

e) None of the above

Answer:

[tex]a_{n}[/tex] = 8 *[tex]0.5^{n-1}[/tex]

Step-by-step explanation:

First find the common ratio

r = 4/8 = 1/2

and first term is 8

a_n = a_1 * r^(n-1)

a_n = 8 * (1/2)^(n-1)

[tex]a_{n}[/tex] = 8 *[tex]0.5^{n-1}[/tex]

Answer:

The amount of money he has in the account after 3 years:

A = Money x (1 + rate)^year

  = 2000 x (1 + 4.3/100)^3

  =2269.3 dollar

Hope this helps!

:)

Answer:

Amount of money in the account:   $2,269.25

Interest: $269.25

Step-by-step explanation:

John starts out with $2000 in savings.

(I can't be bothered to find the formula for annual compound interest, so we'll do it manually based on yearly calculations.)

Because it is calculated annually, we must do yearly calculations.

2,000 x 1.043 = 2,086.00

After the first year, at 4.3% John's $2000 Savings account would mature into $2,086.00. (earning him $86.00 interest for the year)

2,086.00 x 1.043 = 2,175.70

After, the second year at 4.3%,  $2,086.00 becomes $2,175.70.  (making his interest $175.70 total, and $89.70 for the year.)

2,175.70 x 1.043 = 2,269.25

After the third, and final year, at 4.3%, $2,175.70 becomes $2,269.25. (making the interest $269.25 or $93.56 for the year.)

Answer:

The answer is 18.84

Step-by-step explanation:

The diameter is 6.

Circumference = d[tex]\pi[/tex]

6 * 3.14 = 18.84

Answer:

The total number of items to be counted each day ≈ 100

Step-by-step explanation:

Lindsay​ Electronics has 6,500 items in its inventory.

11​% of the items in inventory are A​ items

33% of the items in inventory are B items

56​% of the items in inventory are C items

A items are counted every 20 working​ days

B items are counted every 62 working​ days

C items are counted every 121 working​ days

How many items need to be counted each​ day?

First we will find the number of items of type A, B and C

Number of A​ items = 11​% of 6,500 = 0.11*6500 = 715

Number of B items = 33% of 6,500 = 0.33*6500 = 2145

Number of C items = 56% of 6,500 = 0.56*6500 = 3640

The number of A items to be counted each day is

A items = 715/20

The number of B items to be counted each day is

B items = 2145/62

The number of C items to be counted each day is

C items = 3640/121

The total number of items to be counted each day is

Total items = 715/20 + 2145/62 + 3640/121

Total items = 100.42

Rounding the answer to the nearest whole number yields,

Total items ≈ 100

Answer:

D.

Step-by-step explanation:

Density = mass / volume

Density= 3 , mass = 80

3 = 80 / volume

Volume = 80 / 3

Volume = 26.67 cubic inch

Now volume of a cube= 3 (side length)

26.67 = 3(side length)

Side length=26.67 /3

Side length=8.89 inches

Side length ≈ 9 inches

Answer:

9

Step-by-step explanation:

80% of 45 is 36

45-36=9

Answer:

750000

Step-by-step explanation:

3 times 2.5 = 7.5 then to convert to grams times by 1000 which is 750000

Answer:

d. can be equal to the value of the coefficient of determination (r2).

True on the special case when r =1 we have that [tex] r^2 = 1[/tex]

Step-by-step explanation:

We need to remember that the correlation coefficient is a measure to analyze the goodness of fit for a model and is given by:

[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]  

The determination coefficient is given by [tex] R= r^2[/tex]

Let's analyze one by one the possible options:

a. can never be equal to the value of the coefficient of determination (r2).

False if r = 1 then [tex] r^2 = 1[/tex]

b. is always larger than the value of the coefficient of determination (r2).

False not always if r= 1 we have that [tex] r^2 =1[/tex] and we don't satisfy the condition

c. is always smaller than the value of the coefficient of determination (r2).

False again if r =1 then we have [tex] r^2 = 1[/tex] and we don't satisfy the condition

d. can be equal to the value of the coefficient of determination (r2).

True on the special case when r =1 we have that [tex] r^2 = 1[/tex]

The correct answer is d. can be equal to the value of the coefficient of determination (r²).

The coefficient of correlation (r) and the coefficient of determination (r²) are related statistical measures used to describe the strength and direction of the linear relationship between two variables.

The coefficient of correlation (r) quantifies the strength and direction of this linear relationship, ranging from -1 to 1, where -1 represents a perfect negative correlation, 1 represents a perfect positive correlation, and 0 represents no linear correlation.

On the other hand, the coefficient of determination (r²) is simply the square of the coefficient of correlation and represents the proportion of variance in one variable that can be explained by the linear relationship with the other variable.

Since r² is the square of r, it's entirely possible for them to be equal. In fact, when r is either 1 or -1 (perfect correlations), r² will be equal to 1, indicating that 100% of the variance in one variable is explained by the linear relationship with the other variable.

Similarly, when r is 0 (no linear correlation), r² will be equal to 0, indicating that none of the variance in one variable is explained by the linear relationship with the other variable.

So, the relationship between r and r² depends on the strength of the linear correlation, and they can indeed be equal under certain conditions.

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Answer:

$0.11 (2 d.p.)

Step-by-step explanation:

Please see the attached picture for the full solution.

The cost of one pencil is 10.75 cents.

First, convert the total cost from dollars to cents.

As we know,

Since $1.29 is equal to 129 cents:

$1.29 * 100

= 129 cents.

Next,

divide 129 cents by 12 pencils to find the cost per pencil:

129 cents / 12 pencils

= 10.75 cents.

So, the cost of one pencil is 10.75 cents.

Answer:

? = 3ab^2

for  the sum of (-6ab^2) and 3ab^2

Step-by-step explanation:

2ab^2 +(-5ab^2) =(-6ab^2)  +  ?

-3ab^2 = -6ab^2 +  ?

? = 6ab^2 - 3ab^2

? = 3ab^2

Answer:

The mean of the total repair time is 150 minutes.

The variance of the total repair time is 725 minutes^2.

Step-by-step explanation:

To solve this problem, we have to use the properties of the mean and the variance. Our random variable is the sum of 3 normal variables.

In the case, for the mean, we have that the mean of the sum of 3 normal variables is equal to the sum of the mean of the 3 variables:

[tex]y=x_1+x_2+x_3 \\\\E(y)=E(x_1+x_2+x_3)=E(x_1)+E(x_2)+E(x_3)\\\\E(y)=50+60+40=150[/tex]

For the variance, we apply the property for the sum of independent variables (the correlation between the variables is 0):

[tex]V(y)=V(x_1)+V(x_2)+V(x_3)\\\\V(y)=s_1^2+s_2^2+s_3^2\\\\V(y)=15^2+20^2+10^2\\\\V(y)=225+400+100\\\\V(y)=725[/tex]

Answer:

10

Step-by-step explanation:

When two numbers are placed together that close with parenthesis, you are most likely (99.9% of the time), going to be multiplying them.

Note that:

When you multiply two positive numbers, your result is positive.

When you multiply one negative and one positive number, your result will be negative.

When you multiply two negative numbers, your result will be positive.

Multiply -5 with -2: -5 * -2 = 10

10 is your answer.

~

Answer:8

Step-by-step explanation:

2x4=2x2x2

4x2=2x2x2

The greatest common factor is 2x2x2=8

Answer:

  A. 2(Pi)rh+2(Pi)r^2

Step-by-step explanation:

The surface area of a cylinder is the sum of the lateral area and the area of the two circular ends.

The lateral area is the product of the circumference of the cylinder and its height:

  lateral area = 2πrh

The area of the two ends is twice the area of each of those circles, so is ...

  total end area = 2(πr²)

Then the total surface area of a cylinder is ...

  SA = 2πrh +2πr²

Answer:

The properties of the parallelogram are simply those things that are true about it. These properties concern its sides, angles, and diagonals.

Step-by-step explanation:

The parallelogram has the following properties:

Opposite sides are parallel by definition.

Opposite sides are congruent.

Opposite angles are congruent.

Consecutive angles are supplementary.

The diagonals bisect each other.

If you just look at a parallelogram, the things that look true (namely, the things on this list) are true and are thus properties, and the things that don’t look like they’re true aren’t properties.

If you draw a picture to help you

Answer: C 5/16

stay safe !!!

The probability that a randomly selected player on Team C 10 years old is 5/16.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

According to the table the total number of 10 years old players on Team C is 5 and the total number of all ages players (8, 9 and 10 years old) on Team C is 16,

So the probability that a randomly selected player on Team C is 10 years old is 5/16.

Therefore, the probability that a randomly selected player on Team C 10 years old is 5/16.

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Final answer:

The approximate difference in tenths between the square roots of 12 and 15 is 0.4. This is found by approximating the square roots (3.46 and 3.87, respectively) and subtracting the smaller from the larger.

Explanation:

The student asks for the approximate difference in tenths between StartRoot 12 EndRoot and StartRoot 15 EndRoot. To find the square roots we can use a calculator or estimate:

Square root of 12 is approximately 3.46.

Square root of 15 is approximately 3.87.

Now find the difference:

3.87 - 3.46 = 0.41

0.4 is the approximate difference in tenths between the square roots of 12 and 15. The options given are 0.2, 0.4, 1.5, and 1.7. Therefore, the closest value to our calculation is 0.4.

Answer:

[tex]z = \frac{4-4.25}{\frac{1.5}{\sqrt{40}}}= -1.054[/tex]

And we can find the following probability:

[tex] P(z<-1.054) = 0.146[/tex]

And the last probability can be founded using  the normal standard distribution or excel.

Step-by-step explanation:

For this case we define the random variable X as the ages of vehicles. We know the following info for this variable:

[tex]\bar X = 4.25[/tex] represent the mean

[tex]\sigma =18/12=1.5[/tex] represent the deviation in years

They select a sample size of n=40>30. And they want to find this probability:

[tex] P(\bar X<40)[/tex]

Since the sample size is large enough we can use the central limit theorem and the distribution for the sample mean would be:

[tex]\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}}) [/tex]

We can use the z score formula given by:

[tex] z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And if we find the z score for 4 we got:

[tex]z = \frac{4-4.25}{\frac{1.5}{\sqrt{40}}}= -1.054[/tex]

And we can find the following probability:

[tex] P(z<-1.054) = 0.146[/tex]

And the last probability can be founded using  the normal standard distribution or excel.

Answer:

a

Step-by-step explanation:

bc it does. and it has the highest percentage of it

Answer:

[tex]t=\frac{4917.5-5000}{\frac{450}{\sqrt{81}}}=-1.65[/tex]    

The degrees of freedom for this case are:

[tex]df=n-1=81-1=80[/tex]  

We need to find a critical value in the t distribution with 80 degrees of freedom who accumulates 0.05 of the area in the left and we got:

[tex] t_{cric}= -1.664[/tex]

Since the calculated value is not less than the critical value we don't have enough evidence to conlcude that the true mean is significantly lower than 5000 hours. Then the claim by the manufacturer (product lasts at least 5000 hours) makes sense.

Step-by-step explanation:

Information given

[tex]\bar X=4917.5[/tex] represent the sample mean

[tex]s=450[/tex] represent the sample standard deviation

[tex]n=81[/tex] sample size  

[tex]\mu_o =5000[/tex] represent the value to check

[tex]\alpha=0.05[/tex] represent the significance level

t would represent the statistic (variable of interest)  

System of hypothesis

We want to determine if product lasts at least 5000 hours, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \geq 5000[/tex]  

Alternative hypothesis:[tex]\mu < 5000[/tex]  

The statistic for a one sample t testo for the true mean is given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

Replacing the info given we got:

[tex]t=\frac{4917.5-5000}{\frac{450}{\sqrt{81}}}=-1.65[/tex]    

The degrees of freedom for this case are:

[tex]df=n-1=81-1=80[/tex]  

We need to find a critical value in the t distribution with 80 degrees of freedom who accumulates 0.05 of the area in the left and we got:

[tex] t_{cric}= -1.664[/tex]

Since the calculated value is not less than the critical value we don't have enough evidence to conlcude that the true mean is significantly lower than 5000 hours. Then the claim by the manufacturer (product lasts at least 5000 hours) makes sense.

Answer:

rectangle, 5,4

Step-by-step explanation:

i just did the assignment and got it right

Answer:

Square root of 1040.

Or decimal form - 32.249

Step-by-step explanation:

The 18-inch square pizza is 69.66 square inches larger than the 18-inch diameter circular pizza. This calculation is done by finding the areas of both the square and the circle and then subtracting the circular area from the square one.

The subject of this question is Mathematics, specifically dealing with the comparison of areas of geometric shapes, and the problem seems to be aimed at a middle school level. To find out how much larger a square pizza is compared to a circular pizza, we will calculate the area of both shapes and then compare the two.

The area of the square pizza is straightforward since the length of a side is given as 18 inches. The formula for the area of a square is A = a², so:

Area of square pizza = 18 in × 18 in = 324 in².

Next, let's calculate the area of the circular pizza using the formula: A = πr², where r is the radius. The diameter is given as 18 inches, so the radius (r) is half of the diameter, which is 9 inches. Using 3.14 for π, we find:

Area of circular pizza = 3.14 × 9 in × 9 in = 3.14 × 81 in² = 254.34 in².

To find the difference in areas, we subtract the area of the circular pizza from the area of the square pizza:

Difference in areas = 324 in² - 254.34 in² = 69.66 in².

Therefore, an 18-inch square pizza is 69.66 square inches larger than an 18-inch diameter circular pizza.

Answer:

2.05

Step-by-step explanation:

Look at this chart

2 ones and 5 hundredths can be written as 2.05 in decimal form.

Decimals are values that utilize a dot known as the decimal point to distinguish between the whole number portion and the fractional portion. This dot acts as a separator marking the boundary, between these two parts of a number. The fractional section of a decimal can be expressed in units such as tenths, hundredths, thousandths and forth.

In this case the digit 2 signifies the number element of the value while 0.05 represents its fractional component. The presence of the point ensures a division, between these two segments, one being whole and the other being fractional.

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Answer:

37

Step-by-step explanation:

You were 6 and he was half which made him 3

So you’re gonna turn 40 he’s gonna be three years younger than you which is 37

Hope I helped