A Basketball player shoots 16 free throws. He makes
12 and misses 4. What is the Ratio of free throws made
to total.

Answer: - 6

Step-by-step explanation:

Since n is c in [tex]ax^{2}[/tex] + bx + c, that means that n is the y - intercept of the graph. The y - intercept in the graph is -6 which means that n = -6.

Answer:

Growth

3.8%

Step-by-step explanation:

Look at the number raised to a power.

In this case it is 1.038

If the number raised to a power is greater than 1, it is growth.

If that number is less than 1 it is decay.

Here, it is growth since 1.038 > 1.

Also, 1.038 = 1 + 0.038 = 1 + 3.8%

The rate of growth is 3.8%.

Answer:

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Answer:

[tex]\textsf{D.}\quad f(x)=\dfrac{(x-1)}{x(x-3)}[/tex]

Step-by-step explanation:

An asymptote is a line that the curve gets infinitely close to, but never touches.

Vertical asymptotes of a rational function occur when the denominator equals zero.

From inspection of the given graph, the vertical asymptotes are:

Therefore, for the denominator to equal zero, it must include the factors:

Since the only answer option that has the factors x and (x - 3) is option D, the graphed rational function is:

[tex]f(x)=\dfrac{(x-1)}{x(x-3)}[/tex]

The team was provided 10 gallons of water.

Answer:

8$ is the answer so chose that one

According to the question the value of x in the right triangle with a 30-degree angle and hypotenuse of 15 is 7.5.

We can use trigonometric ratios to find the value of x in a right triangle with a 30-degree angle and hypotenuse of 15.

First, we can use the fact that in a 30-60-90 triangle, the length of the shorter leg is half the length of the hypotenuse. So, we know that:

x/15 = 1/2

Multiplying both sides by 15 gives:

x = 7.5

Therefore, the value of x in the right triangle with a 30-degree angle and hypotenuse of 15 is 7.5.

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The range of the class between shortest student and longest student is 12 inches.

Range is the difference between highest and lowest possible values.

R= (higest value)-(lowest value)

Tallest student= 63 inches

Shortest student= 51 inches

So the range before additon of new student is the difference between the tallest and shortest student.

R= 63(tallest student) - 51(shortest student) = 12inches

Now the newly added student has a height of 58 inches which serves no purpose in range as it does not lies as the extreme-most value.

So the range will still be 63 inches (the height of the tallest student) minus 51 inches (the height of the shortest student), which is 12 inches.

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Given:-

[tex] \: [/tex]

Solution:-

[tex] \sf \large{↣ \frac{2}{3} + \frac{2}{5} }[/tex]

[tex] \: [/tex]

[tex] \sf \large{ ↣\frac{2 \times 5 + 3 \times 2}{3 \times 5} }[/tex]

[tex] \: [/tex]

[tex] \sf \large{ ↣\frac{10 + 6}{15} }[/tex]

[tex] \: [/tex]

[tex] \large{↣\boxed{ \sf{ \purple{ \: \frac{16}{15} \: }}}}[/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps ⸙

Answer:

-108

Step-by-step explanation:

We know b is -7 so we have to plug it in.
6(2(-7)-4)

Simplify: 6(-14-4)

Simplify again: 6(-18)

Simplify: -108

Final answer -108

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The equation 9x^2 - 6xy + y ^2 + 6x - 5y + 12 = 0 represents shape option (B) Ellipse.

The given equation is 9x^2 - 6xy + y^2 + 6x – 5y + 12 = 0.

To determine which shape the equation represents, we can look at the coefficients of x^2, y^2, and xy.

If the coefficients of x^2 and y^2 are equal but have opposite signs, and the coefficient of xy is 0, then the equation represents an ellipse.

If the coefficient of xy is zero and the coefficients of x^2 and y^2 are equal, then the equation represents a circle.

If the coefficient of x^2 or y^2 is zero, then the equation represents a parabola.

If the coefficients of x^2 and y^2 have the same sign, but the coefficient of xy is nonzero, then the equation represents a hyperbola.

Comparing the given equation to these conditions, we can see that 9x^2 - 6xy + y^2 + 6x – 5y + 12 = 0 represents an ellipse, because the coefficients of x^2 and y^2 are equal (9 and 1, respectively) and have opposite signs, and the coefficient of xy is -6.

Therefore, the answer is (B) Ellipse.

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The given question is incomplete, the complete question is:

The equation 9x^2 - 6xy + y^2 + 6x – 5y + 12 = 0 represents which of these shapes: A)Hyperbola B) Ellipse C)  Parabola D) Circle

Answer:

x=7 y=14

Step-by-step explanation:

2x-x=11-4

x=7

y-4=x+3

y-4=7+3

y=7+3+4

y=14

To find the distance they traveled, we can use the formula:

distance = rate × time

In this case, the rate is 65 miles per hour and the time is 3 hours.

So, the distance they traveled is:

distance = 65 × 3 = 195 miles

Therefore, Lily's family traveled 195 miles from Chicago to Wisconsin Dells.

Debt is usually expected in all of the following cases except for option A, which is the purchase of a house.

Debt refers to an amount of money that is owed by one party (the borrower) to another party (the lender). It can be incurred through borrowing money, using credit cards, or other forms of financing. Debt can take many different forms, including personal loans, mortgages, credit card balances, student loans, and other types of financial obligations.

Debt is usually expected in all of the following cases except for option A, which is the purchase of a house. Purchasing a house with a mortgage involves taking on debt, but it is often considered a necessary and responsible investment for many people. The other options - credit card purchases, purchasing a car, and educational loans - often involve taking on debt as well, but they are not typically seen as long-term investments like a house.

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Answer:The value of x is 15 units.

Step-by-step explanation:

In the given triangle RSQ and ΔRST it is given that

∠RTS ≅ ∠SRQ ≅ 90°

∠RSQ is common in two triangles Δ RSQ and Δ RST.

Therefore two angles are equal so both the triangles are common.

From this property we opposite sides of the corresponding angles will be in the same ratio.

SR/SQ = ST/SR

x/(9 + 16) = 9/x

By cross multiplication on each side of the equation

x² = 25×9 = 225

x = √225 = 15

Therefore measurement of x is 15 units.

We can fill in the Venn diagram since the number of elements in Region VIII is negative, it means there is an error in the given information or in the calculations.

Based on the given information, we can fill in the Venn diagram as follows:

n(A) = 33, n(B) = 36, n(C) = 24, n(B ∩ C) = 14, n(A ∩ C) = 9, n(A ∩ B ∩ C) = 5

n(A ∩ B) = n(A) + n(B) - n(A ∩ B) = 33 + 36 - 17 = 52

Now we can fill in the Venn diagram:

Region I: n(A ∩ B ∩ C) = 5

Region II: n(A ∩ B) - n(A ∩ B ∩ C) = 52 - 5 = 47

Region III: n(B ∩ C) - n(A ∩ B ∩ C) = 14 - 5 = 9

Region IV: n(B) - n(B ∩ C) - n(A ∩ B) = 36 - 14 - 17 = 5

Region V: n(A) - n(A ∩ C) - n(A ∩ B) = 33 - 9 - 17 = 7

Region VI: n(C) - n(A ∩ C) - n(B ∩ C) = 24 - 9 - 14 = 1

Region VII: n(U) - n(A) - n(B) - n(C) + n(A ∩ B) + n(A ∩ C) + n(B ∩ C) + n(A ∩ B ∩ C) = 70 - 33 - 36 - 24 + 52 + 9 + 14 + 5 = 57

Region VIII: n(U) - (n(I) + n(II) + n(III) + n(IV) + n(V) + n(VI) + n(VII)) = 70 - (5 + 47 + 9 + 5 + 7 + 1 + 57) = -4

Since the number of elements in Region VIII is negative, it means there is an error in the given information or in the calculations.

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(a)The probability that a call is answered during the first two minutes is 50%.

(b)The probability that a customer waits more than four minutes is infinite.

(a)The probability that a call is answered during the first two minutes is 50%. This is because, if the average waiting time is four minutes, then the call is equally likely to be answered during the first two minutes as it is during the last two minutes. Therefore, the probability of being answered within the first two minutes is 50%.

(b)The probability that a customer waits for more than four minutes can be calculated by assuming that the waiting time follows the same continuous uniform distribution from 0 to 4 minutes. The probability density function (PDF) for this distribution is:

f(x) = 1/4 0 <= x <= 4

The probability that a customer waits more than four minutes is the area under the PDF from 4 to infinity:

P(x > 4) = integral from 4 to infinity of f(x) dx

= integral from 4 to infinity of 1/4 dx

= [1/4 * x] evaluated from 4 to infinity

= lim(x -> infinity) (1/4 * x) - (1/4 * 4)

= infinity

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When the strata is not proportional to the population, it is called disproportionate stratified sampling.

The sampling method used in this case is a stratified sampling method. What is Stratified Sampling? Stratified sampling is a type of probability sampling in which a population is divided into subgroups or strata based on a certain criterion. It is used to ensure that the sample drawn is representative of the population as a whole. When the strata is proportional to the population, it is called proportionate stratified sampling, and Here are the steps followed in this process: Divide the population into strata based on some criterion relevant to the research question. Identify the sample size required from each stratum based on its proportion to the population. Draw a random sample from each stratum to arrive at the final sample.

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The total price if they buy the identical style of 12 pens and 15 notebooks.

"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."

We always count the unit or amount value first and then calculate the more or less amount value.

For this reason, this procedure is called a unified procedure.

Many set values ​​are found by multiplying the set value by the number of sets.

A set value is obtained by dividing many set values ​​by the number of sets.

Hence total cost

= Rs ( 300 + 120 )

= Rs 420

The cost of 15 notebooks

= Rs ( 15 × 20 )

= Rs 300

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Dipesh bought 3 notebooks and 2 pens for Rs. 80. His friend Ramesh said that price of each notebook could be

Rs. 25. Then three notebooks would cost Rs.75, the two pens would cost Rs. 5 and each pen could be for Rs. 2.50.

60$

if you add $25.50 + $32.75 + 1.75 you get a sum of 60 (this being with no tax)

a. 44.4% of the time each service desk is idle.

b. The probability that both service clerks are busy is 0.22 or 22%.

c. The probability that both service clerks are idle is 11.1%.

d. On average, 0.67 customers are waiting in line in front of each service desk.

e. A customer takes, on average, 5.33 minutes to get serviced from the moment they join the queue (i.e., waiting plus service time).

a) The arrival rate is 1 customer every 6 minutes. Therefore, 10 customers arrive at each service desk every hour. The service rate is 1 customer every 4 minutes, which means that a service desk can handle 15 customers every hour.

The utilization rate of each service desk = arrival rate/service rate = (10/60) ÷ (15/60) = 2/3 Average number of customers in the system at any time (queue + service) = utilization/(1 - utilization) = (2/3)/(1 - 2/3) = 2

Therefore, the average number of customers in the queue is the average number of customers in the system minus the average number of customers in service:Average number of customers in the queue = 2 - 2 = 0

Therefore, each service desk is idle for 60% - 15.6% = 44.4% of the time.

b) The probability of a service desk being busy is equal to its utilization rate = 2/3.

Therefore, the probability of both service clerks being busy is:P(both busy) = (2/3)² = 4/9 = 0.44

c) The probability of a service desk being idle is equal to 1 - utilization rate = 1 - 2/3 = 1/3.

Therefore, the probability of both service clerks being idle is:P(both idle) = (1/3)² = 1/9 = 0.11 or 11%.

d) We can use Little's Law to calculate the average number of customers in the queue:

Average number of customers in the queue = arrival rate x average waiting time in queue Average waiting time in queue = average number of customers in queue / arrival rate = 0 / (10/60) = 0 Average number of customers in the queue = 0 Therefore, on average, 0.67 customers are waiting in line in front of each service desk.

e) The average time a customer spends in the system (waiting + service) is equal to the average number of customers in the system divided by the arrival rate:

Average time in system = average number of customers in system / arrival rate Average number of customers in system = utilization/(1 - utilization) = (2/3)/(1 - 2/3) = 2 Average time in system = 2 / (10/60) = 12/10 = 1.2 minutes = 72 seconds The service time is 4 minutes. Therefore, the average waiting time is:

Average waiting time = average time in system - service time = 1.2 - 4 = -2.8 minutes We can't have negative waiting time, so the actual waiting time is 0.

Therefore, a customer takes, on average, 5.33 minutes (4 minutes of service + 1.33 minutes of waiting) to get serviced from the moment they join the queue.

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The perimeter of the figure is approximately 32.6 units

What is perimeter ?

Perimeter is a term used in geometry to describe the total length of the boundary or outer edge of a two-dimensional shape. In other words, it is the sum of the lengths of all the sides of a shape.

The concept of perimeter is most commonly used with polygons, which are shapes with straight sides. To find the perimeter of a polygon, we simply add up the lengths of all its sides. For example, the perimeter of a rectangle is given by the formula:

Perimeter = 2(length + width)

where length and width are the dimensions of the rectangle.

According to the question:
To find the perimeter of the figure, we need to add up the lengths of all its sides.

First, let's find the circumference of each semicircle. The diameter of each semicircle is 4, so the radius is 2. The circumference of each semicircle is:

C = πr = π(2) = 2π

Since there are two semicircles, the total length of their circumferences is:

2(2π) = 4π

Now let's find the length of the sides of the rectangle. One side has length 6, and the other side is the diameter of the semicircles, which is also 4. So the length of the other side of the rectangle is 4. Therefore, the perimeter of the rectangle is:

2(6 + 4) = 20

Finally, we can add up the lengths of all the sides to find the perimeter of the figure:

Perimeter = 4π + 20

Using a calculator to approximate π as 3.14 and rounding to the nearest tenth, we get:

Perimeter ≈ 4(3.14) + 20 ≈ 32.6

Therefore, the perimeter of the figure is approximately 32.6 units.

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Answer: The answer is 32.6

The subject of this question is Mathematics and it involves counting and working with coins.

The subject of this question is Mathematics as it involves counting and working with coins.

Tia has 12 coins in total, consisting of 6 pennies, 3 nickels, and 3 dimes. Will has 15 coins, with an equal number of pennies, nickels, and dimes. Ana has a total of 9 coins, with 2 pennies, 4 nickels, and 3 dimes.

In summary, the question involves counting the number of coins each person has, which can be solved using basic arithmetic and understanding of coin values.

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Answer:

18

Step-by-step explanation:

here,

circumference of the circle = 90

[tex]S = r\theta[/tex]

in above equation, S is the length of arch, r is the radius and theta is the angle formed by arc at the center,

As you can see, in a circle of given radius,

[tex]S \propto \theta[/tex]

therefore,

[tex]\dfrac{S_1}{S_2} = \dfrac{\theta_1}{\theta_2}[/tex]

we have the arc length for angle 360 (circumference of the circle).

let S1 be the length of minor arc, S2 be the arc formed by full circle (360 degree),

[tex]\dfrac{S_1}{90} = \dfrac{72}{360}[/tex]

solving the above equation, we get

[tex]S_1 = 18[/tex]

Answer:

z = 1

Step-by-step explanation:

-z + 7 = 6

    -7    -7

             -1    

So, basically add -7 on both side (or the kcf method) which cancels out on on the right side but makes -1 on then notice how the -z/-1 = a positive because a negative divided by a negative is a positive so its positive one.

How to check?

just replace -z with -1 and put -1 + 7 = 6 which makes this answer correct.

Answer:

f(x)=2x+x2

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

2x→1

x^2→2

The largest exponent is the degree of the polynomial.

2

Step-by-step explanation:

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Answer:

[tex]- 8 {g}^{15} {h}^{6} [/tex]

Step-by-step explanation:

[tex] {( - 2 {g}^{5} \times {h}^{2} )}^{3} [/tex]

Use the property of exponents (raise each term by a degree separately):

[tex] {( - 2 {g}^{5} \times {h}^{2} )}^{3} = ( { - 2})^{3} \times {( {g}^{5} })^{3} \times {( {h}^{2}) }^{3} = - 8 \times {g}^{15} \times {h}^{6} = - 8 {g}^{15} {h}^{6} [/tex]

Answer: If I'm correct, an equivalent expression to v could be (2y)+10+2(5x+3)

Sorry I don remember how to do the other 2.

Step-by-step explanation

PEMDAS

2x + 10 + 2(5y + 3)

2x = 2

5y = 5

2+10=12 12+16

2 x (5+3=8) = 16

12+16= 28

x=1 y=1

An equivalent algebraic expression could be

(2y)+10+2(5x+3) if I'm correct because the

The answer is equal to the previous answer

Answer:

Step-by-step explanation: