8..................................

Answer:

77.47%

Step-by-step explanation:

We have to use Bayes Theorem in solving this problem.

This theorem's formula is:

P(A | B) = [tex]\frac{P(A and B)}{P(B)}[/tex]

Where the " | " means "given that".

For our problem, using bayes theorem, we can write:

P(Student has lice | positive ) = [tex]\frac{P(StudentHasLice and Positive)}{P(Positive)}[/tex]

So P(Student has lice | Positive ) = [tex]\frac{0.1692}{0.2184}=0.7747[/tex]

Answer:

1.20 + 1.40x ≥ 5, or $1.20 + $1.40x ≥ $5

Step-by-step explanation:

So since you are only buying 1 soda and you are buying multiple bags of Cheetos so you are able to use you debit card and meet the requirement of at least $5, you can make the inequality:

1.20 + 1.40x ≥ 5, or $1.20 + $1.40x ≥ $5

where x is the number of bags of Cheetos.

Answer: Option a.

Step-by-step explanation:

To solve this problem you must appply the proccedure shown below:

- You need to descompose 81 into its prime factors, as following:

[tex]81=3*3*3*3=3^4[/tex]

- Now, you can rewrite it as following:

[tex](3^4)^{\frac{3}{4}}[/tex]

- You must keep on mind the Power of a power rule, which is:

[tex](a^n)^m=a^{nm}[/tex]

- Therefore, you can simplify as following:

[tex]3^{\frac{4*3}{4}}=3^3=27[/tex]

Then, the answer is the option a.

Answer:

The answer is C.

Step-by-step explanation:

I got this by multiplying the houses by the days it would take to paint to paint one house.

9*4=27

Answer:

C. Andrew can paint 7 houses in 28 days.

Step-by-step explanation:

Andrew can paint a house in 4 days, to check which statement is okay you just have to create an equation, the number of houses will be represented by "x" and the number of days it took will be Y you just check all the statements, for example:

Andrew can paint 9 houses in 27 days, x=9 y=27.

Y= 4x= 27= 4(9)

27= 36

As this is not correct, the statement is also in correct, the only statement that matches the math is the third one, Andrew can paint 7 houses in 28 days. X=7 Y=28

Y=7x

28=4(7)

28=28

As the math is correct the option that actually fits the equation would be the third one.

Answer:

Step-by-step explanation:

45/3=15

15" of snow melts each day, so after day 1 30" of snow will remain, after day 2 15" will remain and after day 3 all snow will be gone.

the answer here should be B I’m pretty sure

Here is your answer

B) [tex]x=5[/tex]

REASON:

Given,

[tex] {3}^{x}=243 [/tex]

[tex] {3}^{x}=3×3×3×3×3 [/tex]

[tex] {3}^{x}={3}^{5} [/tex]

Since, base is same so exponential power will be same

Hence,

[tex] x=5 [/tex]

HOPE IT IS USEFUL

Answer:

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the slope m = 1 and the points (-4, y) and (-2, 8). Substitute:

[tex]1=\dfrac{8-y}{-2-(-4)}[/tex]

[tex]1=\dfrac{8-y}{2}[/tex]         multiply both sides by 2

[tex]2=8-y[/tex]         subtract 8 from both sides

[tex]-6=-y[/tex]          change the signs

[tex]6=y\to y=6[/tex]

The answer would be Loan A

even though she'll pay more per month, with the others she'll pay be paying more by the time she as payed it off due to having to pay interest over a longer period of time

Answer:

Step-by-step explanation:

The different loan plans are showed in the image attached.

Loan A: 12 months of duration with 9.50%.

Loan B: 24 months of duration with 8.75%.

Loan C: 36 months of duration with 7.75%.

Loan D: 48 months of duration with 6.60%.

Now, all loans are compouneded monthly. Let's the compound interest formula

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Loan A:

[tex]A=2500(1+\frac{0.095}{12} )^{12(1)}\\A=2,748.12[/tex]

Loan B:

[tex]A=2500(1+\frac{0.095}{24} )^{24(2)} \\A=2500(1.004)^{48}\\ A=3,028.02[/tex]

Loan C:

[tex]A=2500(1+\frac{0.095}{36} )^{36(3)} \\A=2500(1.003)^{108}\\ A=3,454.94[/tex]

Loan D:

[tex]A=2500(1+\frac{0.095}{48} )^{48(4)}\\ A=2500(1.002)^{192}\\ A=3,668.95[/tex]

Now, if you compare, you will observe that Loan A offer the cheapest result for Judy.

Therefore, Judy should use the Loan A plan.

After a translation of 4 units to the right and 2 units up, the image point of the original point (9, 8) is (13, 10).

When translating a point in the Cartesian coordinate system, you are essentially moving the point from its original location to a new position based on specific instructions. In this case, the original point is (9, 8), and you are instructed to translate it right 4 units and up 2 units.

For the horizontal translation to the right, you add 4 to the x-coordinate. So, the new x-coordinate becomes 9 + 4, which equals 13.

For the vertical translation upwards, you add 2 to the y-coordinate. The new y-coordinate becomes 8 + 2, resulting in 10.

Therefore, the image point after the translation is (13, 10). This means that the point originally at (9, 8) has been shifted right by 4 units and up by 2 units, landing at the new position (13, 10).

In the context of coordinates and geometry, such translations are a fundamental concept, and they describe the movement of points in the plane. This is essential in various mathematical applications and real-world scenarios, such as navigation, computer graphics, and architectural design. The process involves simple arithmetic operations and is a key building block in understanding transformations in mathematics and science.

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The image point of (9,8) after a translation right 4 units and up 2 units is (13,10). The rightward translation increased the x-coordinate by 4, and the upward translation increased the y-coordinate by 2.

In translation, when a point moves right or left, this affects the x-coordinate, and up or down movements affect the y-coordinate. In the case of point (9,8), if it makes a translation right by 4 units, the x-coordinate is increased by 4, resulting in the new x-coordinate as 9 + 4 = 13. If the point then moves up by 2 units, the y-coordinate increases by 2, and the new y-coordinate is 8 + 2 = 10. Therefore, the image point of (9,8) after a translation right 4 units and up 2 units is (13,10).

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Answer:

72 cm

Step-by-step explanation:

Lets split the net into 3 rectangles, one is the big one in the middle while the other two are the smaller protruding ones on top and on the bottom.  The small rectangles have an area of 3*2 = 6 and the big rectangles have an area of 6(3+2+3+2) = 6*10 = 60.  Adding these up we get 60 + 6*2 = 60+12 =72.

hope i could helpp!!!!

Answer:

see explanation

Step-by-step explanation:

To find the zeros equate g(x) to zero, that is

(3x - 1)(2x + 5)(7x - 14)² = 0

Equate each factor to zero and solve for x

3x - 1 = 0 ⇒ 3x = 1 ⇒ x = [tex]\frac{1}{3}[/tex]

2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = - [tex]\frac{5}{2}[/tex]

(7x - 14 )²  = 0 ⇒ 7x - 14 = 0 ⇒ x = 2 with multiplicity 2

Answer:

I think it is 145.20

Step-by-step explanation:

I did 22.45x6=134.70+10.50=145.20

Answer:

$145.04

Step-by-step explanation:

$22.45 * 6 + $10.50 = $145.04

Answer:

7.) B

8.) D

Step-by-step explanation:

For #7, look at the graph and plot y = 6, go down and you'll see that x = -1 (approximately).

For #8, 1 < x < 9 basically means any number in the x-axis between 1 to 9. In those range, you can plot (1, 9), (1.1, 8.9), (1.2, 8.8), (1.25, 8.75), (1.5874875, 8.2858426) etc. There are an infinite number between 1 to 2 alone, so D is the answer.

Hi,

I would say that it’s C - adjustable rate mortgage

Anyone please correct me if I am wrong

Answer:

Option C is the answer.

Step-by-step explanation:

The answer is : Adjustable rate mortgage has a feature of steady interest rate for the duration of the loan.  An adjustable rate mortgage is a type of mortgage where the interest rate varies throughout the life of the loan.

Point based mortgages have discount points that are paid to the lender at the time of closing deal ,in exchange for a reduced interest rate. This is not the answer.

In Fixed rate mortgage, the interest rate on the note remains the same through the term of the loan. This is not the answer.

A balloon mortgage is a mortgage where a large portion of the loan is repaid in a single payment at the end of the loan period. This is not the answer.

Split the second term in 3a^2 - 8a + 4 into two terms

3a^2 - 2a - 6a + 4 = 0

Factor out common terms in the first two terms, then in the last two terms.

a(3a - 2) -2(3a - 2) = 0

Factor out the common term 3a - 2

(3a - 2)(a - 2) = 0

Solve for a;

a = 2/3,2

Answer : B. (2/3,2)

Answer:

K'= (-2, 4)

Step-by-step explanation:

First we are going to rotate our point 270° counterclockwise.

The rule for a 270° counterclockwise rotation is [tex](x,y)-->(y,-x)[/tex], which means that we just need to interchange the coordinates of the point and change the sign of the x-coordinate:

[tex](x,y)-->(y,-x)[/tex]

[tex](-7,-2)-->(-2,-7)[/tex]

[tex](-7,-2)-->(-2,-(-7))[/tex]

[tex](-7,-2)-->(-2,7)[/tex]

Now, to shift the point 3 units down, we just need to subtract 3 units from the new y-coordinate of our resulting point form the previous procedure:

[tex](x,y)-->(x,y-3)[/tex]

[tex](-2,7)-->(-2,7-3)[/tex]

[tex](-2,7)-->(-2,4)[/tex]

We can conclude that the coordinates of K' are (-2, 4)

Answer:

-2,4

Step-by-step explanation:

i did it

Answer:

[tex]\large\boxed{(a+b)(a^2+ab+b^2)=a^3+2a^2b+2ab^2+b^3}[/tex]

Step-by-step explanation:

Use FOIL: (a + b)(c + d) = ac + ad + bc + bd

[tex](a+b)(a^2+ab+b^2)\\\\=(a)(a^2)+(a)(ab)+(a)(b^2)+(b)(a^2)+(b)(ab)+(b)(b^2)\\\\=a^3+a^2b+ab^2+a^2b+ab^2+b^3\qquad\text{combine like terms}\\\\=a^3+(a^2b+a^2b)+(ab^2+ab^2)+b^3\\\\=a^3+2a^2b+2ab^2+b^3[/tex]

Answer:

A cash budget plan is a financial plan or plan of expected money receipts and payment amid the period. These money inflows and surges incorporate incomes gathered, costs paid, and loans receipts and payments. As it were, a money spending plan is an estimated projection of the company's cash position in the future.

Answer:

NO SOLUTION

Step-by-step explanation:

Here  you're asked to solve a system of equations, linear equations in this case.

Since y = 2x, we can subst. 2x for y in the 2nd equation:

-6x + 3(2x) = 16

Combining the x terms results in 0 = 16, which is never true.  

Thus, this system of linear equations has NO SOLUTION.

The answer is 2. The rate of change between -1 and 0 is 3 and between 0 and -1 is 1. The average between 3 and 1 is 2.

Answer:

- 2

Step-by-step explanation:

The average rate of change in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

here [ a, b ] = [ - 1, 1 ]

f(b) = f(1) = 1 - 2 = - 1

f(a) = f(- 1) = 1 + 2 = 3

Hence

average rate of change = [tex]\frac{-1-3}{1-(-1)}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2

Answer:

It's True 36/9=4

4*3=12

Answer: 12

Step-by-step explanation:36 divided by 9=4

4 times 3 is 12

===================================================

Explanation:

The area of the parallelogram is equal to the base times height. The formula to use is A = b*h. The height and base are always perpendicular to one another.

The base is some unknown variable b. Multiply the base by the height 15 to get 15*b which is equal to the area 135

Therefore, 15*b = 135

Divide both sides by 15 and we isolate b

15b = 135

15b/15 = 135/15

b = 9

So the base is 9

Check:

area = base*height = 9*15 = 135

so the answer is confirmed

side note: we never use the value 17 at all. It is likely put in there as a distraction.

Answer:

9

Step-by-step explanation:

Khan Academy

Answer:

11.  ×8; ×27; ÷8

12. ÷16; ÷256; ×16

13. ×8

14. ×4

Step-by-step explanation:

11. g(x) =5x³

g₁ = 5x₁³

g₂ = 5x₂³

g₂/g₁ = (x₂/x₁)³

a. x is doubled. g₂/g₁ = (2x₁/x₁)³ = 2³ = 8

If x is doubled, g is multiplied by eight.

b. If x is tripled, g₂/g₁ = (3x₁/x₁)³ = 3³ = 27

If x is tripled, g is multiplied by 27.

c. If x is halved, g₂/g₁ = (½x₁/x₁)³ = (½)³ = ⅛

If x is halved, g is divided by 8.

12. ƒ(x) = 3/x⁴

f₁ = 1/x₁⁴

f₂ = 1/x₂⁴

f₂/f₁ = (x₁/x₂)⁴

a. x is doubled. f₂/f₁ = (x₁/2x₁)⁴ = (½)⁴ = 1/16

If x is doubled, f is divided by 16.

b. If x is quadrupled, f₂/f₁ = (x₁/4x₁)⁴= (¼)⁴ = 1/256

If x is tripled, f is divided by 256.

c. If x is halved, f₂/f₁ = [x₁/(½x₁)]⁴ = 2⁴ = 16

If x is halved, f is multiplied by 16.

13. V = ⁴/₃πr³

V₁ = ⁴/₃πr₁³

V₂ = ⁴/₃πr₂³

V₂/V₁ = (r₂/r₁)³

r is doubled. V₂/V₁ = (2r₁/r₁)³ = 2³ = 8

The volume of the sphere is multiplied by 8.

14. V = πr²h

V₁ = πr₁²h

V₂ = πr₂²h

If r is doubled and h stays the same, V₂/V₁ = (2r₁/r₁)² = 2² = 4

The volume of the cylinder is quadrupled.

60,000/52 weeks in a year gives a month paycheck of $1153.8. Divide this by 2 to get the semi monthly paycheck. Therefore your final answer should be $576.9230769

The semimonthly paycheck is  $2500

As we know that there are 12 month in a year

And semimonthly means 15 days

Monthly income is 60,000 / 12 = 5000

Now semimonthly means monthly divided by 2

So semimonthly will be 5000/2 = $2500

In a distribution, if the data is skewed left, the mean is less than the median; if skewed right, the mode is often less than the median, which is less than the mean.

In a distribution, if the data is skewed to the left, the mean is less than the median, which is often less than the mode. On the other hand, if the data is skewed to the right, the mode is often less than the median, which is less than the mean. Therefore, the most likely statement to be true for this distribution is B. The mean is less than the median.

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The statement that  is most likely to be true for this distribution is The mean is greater than the median.

This distribution is "bunched up" at the left and has a larger tail to the right, indicating that it is right skewed. The median will be nearer the left side of the graph in a right-skewed distribution since most of the data points are at the smaller end.

The mean will rise and become greater than the median due to the increased numbers in the "tail". A positively skewed distribution, also known as a right-skewed distribution in statistics, is one in which the majority of values are concentrated at the left tail of the distribution while the right tail is longer. The distribution that is negatively skewed is directly opposed by the positively skewed distribution.

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Answer:

B

Step-by-step explanation:

g(x) - h(x)

= 5x² - 10x + 9 - ( - 3x³ + 5x - 6) ← distribute parenthesis by - 1

= 5x² - 10x + 9 + 3x³ - 5x + 6 ← collect like terms

= 3x³ + 5x² - 15x + 15 → B

-7 and 5. The product would be -35 and the sum -2.

Hope this helps

Answer:

Total points were 110.

Step-by-step explanation:

90/100*x=99

9/10*x=99

=x=99*10/9

=x=11*10

=110

Answer:

0.35 cents

Step-by-step explanation:

7.50-2.95= 4.55

4.55 / 13 bagels = 0.35