An item has a listed price of $75 . If the sales tax rate is %9 , how much is the sales tax (in dollars)?

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Explanation:

9 yellow

9 red

9+9 = 18 total

If you select a marble at random, the chances of it being yellow are 9/18.

If you selected another marble at random, without replacing the first marble, then 8/17 is the probability of getting another yellow marble. I subtracted 1 from the numerator and denominator of 9/18 to go to 8/17.

We multiply the two results

(9/18)*(8/17) = 0.235 approximately

There's roughly a 23.5% chance of getting two yellow in a row, where we don't replace the first marble selected.

Answer:

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Step-by-step explanation:

a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r

here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Answer:

Mean = 3.125 ≈ 3.13

Step-by-step explanation:

Mean = Sum of numbers =  1 + 2 + 3 + 4 + 2 + 6 + 3 + 4 = 25 = 3.125≈3.13

           Amount of number                     8                             8

Answer:

Step-by-step explanation:

1) f(-4) --> if x < or equal to 3

2) 1/(-4)-4

3) The answer is - 1/8

Answer:

62 pages

Step-by-step explanation:

The total cost function is given as below:

C= 0.06p + 12.75

C=total cost for printing= $16.47

0.06= variable printing cost per page

p=number of pages prinited=the unknown

12.75=monthly fixed printing cost

16.47=0.06p+12.75

16.47-12.75=0.06p

3.72=0.06p

0.06p=3.72

p=3.72/0.06

p=62 pages

The area of the shaded region is 20.8 square feet

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

The figure

The area of the shaded region is calculated as

Shaded region = Area of big square - Area of small square

Using the above as a guide, we have the following:

Shaded region = (4.2 + 2)² - 4.2²

Evaluate

Shaded region = 20.8

Hence, the area of the shaded region is 20.8 square feet

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Answer:

In this situation, the -4 represents that the -4 is a negative number so it is below the freezing point of water

Step-by-step explanation:

ANSWER:

Mia's iced coffee was above because the average temp. is 0.C and the instutuion of mia's iced coffee was 4.C. So, the average was 0 so 4 is higher than 0, so that gives that the value was ABOVE.

In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:

Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.

Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.

These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).

Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.

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Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

Answer:

13

Step-by-step explanation:

Using Pythagoras Theorem:

\(a^2+b^2=c^2\)

Substitute values of a and b:

\(5^2+12^2=25+144=169\)

\(c^2=169\\c=13\)

The length of the missing side is 13.

Answer:a

Step-by-step explanation:trust me bro

Answer:

\(-\frac{9}{1}\)

Step-by-step explanation:

Its just the same way as making positive 9
a fraction, but just add the negative sign.

Hope this helps :))

Answer:

B. All real numbers

Step-by-step explanation:

I calculated it logically

Answer:

I believe it is all real numbers

Answer:

$7.60

Step-by-step explanation:

24% of $10 is $2.40

$10-$2.40=$7.60

Answer:

The answer is $7.60.

Step-by-step explanation:

The original price is 10 dollars. 24 percent of 10 dollars is $2.40. So, subtract that from 10 dollars to get the answer.

$10.00 - $2.40 = $7.60.

Hope this helps! Have a good day. :)

The solution to the polynomial function is P(Q(x)) = 3x² - 10x + 19.

First, to find P(2x), we substitute 2x for x in the expression for P(x):

P(2x) = 3(2x)² - 4(2x) + 12

= 3(4x²) - 8x + 12

= 12x² - 8x + 12

To find the domain of P(x), we need to determine if there are any values of x that would make the expression undefined. Since P(x) is a polynomial function, it is defined for all real numbers.

Next, to find P(Q(x)), we substitute Q(x) = x - 1 into the expression for P(x):

P(Q(x)) = 3(Q(x))² - 4(Q(x)) + 12

= 3(x-1)² - 4(x-1) + 12

= 3(x² - 2x + 1) - 4x + 4 + 12

= 3x² - 10x + 19

Therefore, P(Q(x)) = 3x² - 10x + 19.

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According to the given question we can conclude that the probability that a student who majors in science is a female is approximately 0.375 and the probability that a student is male or majors in art is 0.78.

Probability is the research of probabilities, which also are based on the ratio of favourable events to likely circumstances. One of the areas of probability theory is the estimation of the chance of experiments occurring. With a probability, we can calculate any number of things, from the probability of obtaining a head or a tail when flipping a coin towards the likelihood of generating a research error, for example.

A.) To find the probability that a student who majors in science is a female, we need to use Bayes' theorem. Let F be the event that a randomly selected student is female, and S be the event that the student majors in science. Then we have:

P(F|S) = P(S|F) * P(F) / P(S)

We know that P(F) = 0.6 (since 60% of students are female), and P(S|F) = 0.1 (since 10% of female students major in science). To find P(S), we need to use the law of total probability:

P(S) = P(S|F) * P(F) + P(S|M) * P(M)

We know that P(S|M) = 0.4 (since 40% of male students major in science), and P(M) = 0.4 (since 40% of students are male). Therefore:

P(S) = 0.1 * 0.6 + 0.4 * 0.4 = 0.16

Now we can calculate P(F|S):

P(F|S) = 0.1 * 0.6 / 0.16 ≈ 0.375

Therefore, the probability that a student who majors in science is a female is approximately 0.375.

B.) To find the probability that a student is male or majors in art, we need to use the law of total probability again:

P(Male or Art) = P(Male) + P(Art) - P(Male and Art)

We know that P(Male) = 0.4 (since 40% of students are male), and P(Art|Male) = 0.5 (since 50% of male students major in art). We also know that P(Female) = 0.6 (since 60% of students are female), and P(Art|Female) = 0.7 (since 70% of female students major in art). Therefore:

P(Art) = P(Art|Male) * P(Male) + P(Art|Female) * P(Female)

= 0.5*0.4+0.7*0.6

= 0.58

To find P(Male and Art), we can multiply the probabilities of being male and majoring in art:

P(Male and Art) = P(Male) * P(Art|Male)

= 0.4 * 0.5

= 0.2

Now we can calculate P(Male or Art):

P(Male or Art) = 0.4 + 0.58 - 0.2

= 0.78

Therefore, the probability that a student is male or majors in art is 0.78.

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Answer:

rad 29

Step-by-step explanation:

diagonal is 16+4=20 so \(\sqrt{20}\)

3 and rad20 you will have 20 +9=29

answer is \(\sqrt{29}\)

Answer:

angles are 48°, 48°, 84°

Step-by-step explanation:

ratio of angles = 4 : 4 : 7 = 4x : 4x : 7x ( x is a multiplier )

the sum of the 3 angles = 180 , then

4x + 4x + 7x = 180 , that is

15x = 180 ( divide both sides by 15 )

x = 12

the student made the error of assuming x = 12 was the size of the 2 equal angles.

the correct angles are

4x = 4 × 12 = 48°

4x = 4 × 12 = 48°

7x = 7 × 12 = 84°

Answer:

84 is the only correct one, the angle measures 12 and 12 should be 48 and 48

Answer:

0.63212

Step-by-step explanation:

Given that :

Mean cleaning time (μ) = 135

Probability of cleaning the office is 135 minutes or less

Using an exponential distribution probability calculator :

P(X ≤ 135) = 0.63212

Answer:

The correct answer is Lorenzo

The length of EB is approximately 14.6 units when rounded to the nearest tenth.

To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.

Using the similarity ratio, we can set up the proportion:

DF / CF = DE / EB

Plugging in the given values, we have:

13.1 / 10.9 = 17.5 / EB

To find EB, we can cross-multiply and solve for EB:

13.1 * EB = 10.9 * 17.5

EB = (10.9 * 17.5) / 13.1

EB ≈ 14.6

Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.

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Answer:

Film A = 128 min

Film B = 32 min

Step-by-step explanation:

let 'B' = length of film B

let '4B' = length of film A

4B + B = 160

5B = 160

B = 32

4B = 128

Step-by-step explanation:

it should look smth like that

Answer: As a fraction: 1/2

              As a decimal: 0.005

Step-by-step explanation:

FRACTION:

To figure out how to write 0.5% as a fraction, all you need to know is that 0.5 = to a half, or 1/2 because 0.5 is half of 1.

DECIMAL:

0.5% as a decimal form is 0.005 because it is 1000 times less than 1, so you move the 0 3 times right.

the answer would be c because the angles are equal to each other

Answer:

slopeᵥᵥ = 4/5

Step-by-step explanation:

mᵥ = (8-4)/(9-4) = 4/5

1) The amount of money invested at 15% = $30,000

2) The amount of money invested at 5% = $20,000

What is the amount invested?

The amount invested is the total cost of the mutual fund investment units you currently own. Amount Invested = Number of Units x Purchase NAV. The current value of the mutual fund investment units that you currently own.

To solve this problem, we need to set up and solve a system of equations. Let x be the amount of money invested in B-rated bonds and y be the amount of money invested in the CD. We know that:

x + y = $50,000 (the total amount of money invested must equal $50,000)

0.15x + 0.05y = $5,000 (the total interest earned must equal $5,000)

Now we can use the first equation to solve for one of the variables in terms of the other. If we subtract y from both sides of the first equation, we get:

x = $50,000 - y

We can substitute this expression for x into the second equation to get:

0.15($50,000 - y) + 0.05y = $5,000

Solving for y, we get:

y = $20,000

Now we can substitute this value back into the first equation to find the value of x:

x = $50,000 - $20,000

x = $30,000

Therefore, Betsy should invest $30,000 in B-rated bonds and $20,000 in a CD to earn exactly $5,000 in interest per year.

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The three statements that are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   .......equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

Based on the information provided, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

By comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x - 0)² + (y - 0)² = 3²

x² + y² = 9.

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Answer:

$100.4

Step-by-step explanation:

Compound Interest Formula:

A = P\((\)1 + \(\frac{r}{100}\)\()^{t}\)

=> A = 100 x ( 1 + \(\frac{0.4}{100}\))^1 = 100.4 (If they asked ... interest rate ... per year, if not then depends - most likely to be days and therefore you will need to change 1 year = 365 days and you will also need to change 1 in the formula above to 365, then you will get the right ans)