Suppose Anthony Ianni attempted 18 baskets in a basketball game. If the ratio of baskets made to baskets missed is 1:5, how many baskets did Ianni make?

Answer:

An Arc

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

\(2\frac{2}{3}\) cubic blocks

Step-by-step explanation:

The given parameters are:

\(Length = \frac{1}{2}yd\)

\(Width = 16yd\)

\(Height =\frac{1}{3}yd\)

Required

Number of cubic blocks to fill the tank

To do this, we simply calculate the volume of the tank by:

\(Volume = Length * Width * Height\)

This gives:

\(Volume = \frac{1}{2} * 16 * \frac{1}{3}\)

\(Volume = \frac{16}{6}\)

Simplify

\(Volume = \frac{8}{3}\)

Express as mixed numbers

\(Volume = 2\frac{2}{3}yd^3\)

Answer:

0.75p=c

Step-by-step explanation:

Answer:

Step-by-step explanation:

The missing information includes finding the volume of the circle x² + y² = 4 from the x-axis of the squares and the equilateral triangles.

\(x^2 + y^2 = 4\)

Perpendicular to x-axis

\(y = \sqrt{4 -x^2}\)

Area of the square = \(( \sqrt{4-x^2}+ \sqrt{4-x^2})^2\)

\(= (2 \sqrt{4 -x^2})^2 \\ \\ = 4(4-x^2) \\ \\ = 16 - 4x^2\)

Volume  V = \(\int ^2_{-2} (16 -4x^2) \ dx\)

\(= \Big [ 16x - \dfrac{4x^3}{3} \Big]^2_{-2}\)

\(= \Big [32 - \dfrac{32}{3} \Big] - \Big[-32 +\dfrac{32}{3} \Big]\)

\(= \dfrac{128}{3}\)

Area of Equilateral triangle

\(= \dfrac{1}{2}\times 2 \sqrt{4-x^2}\times \sqrt{3}\sqrt{4-x^2}\)

\(= \sqrt{3}(\sqrt{4-x^2})^2\)

\(Volume (V )= \int ^2_{-2}\sqrt{3} (4 -x^2) \ dx\)

\(= 4\sqrt{3} \ x - \dfrac{\sqrt{3} \ x^3 }{3} \Big|^2_{-2} \\ \\ = 16 \sqrt{3} - \dfrac{16\sqrt{3}}{3} \\ \\ = \dfrac{32\sqrt{2}}{3}\)

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

A

Step-by-step explanation:

For a right triangle

\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)

This is the same as the other triangle because they are the same size because of congruency

Area of the rectangle

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

\(\sqrt{(10.4^2+15.3^2} =c\)

\(c= 18.5\)

18.5 x 7 = 129.5

Add them all up

129.5+79.56+79.56= 288.62

Mean - this is the average. Add up the numbers and divide by the count of the numbers in the data set.

11+13+14+16+17+18+20+20+21+24+25+29 = 228

There are 12 numbers, so divide by 12.

228/12 = 19. The mean is 19.

Median - - - this is the MIDDLE number. Your data is already in numerical order (hooray!) so there are 12 numbers. Since it's even, we'll take the average of the 2 middle numbers. The 6th number is 18 and the 7th number is 20. The average of these is 19. So the median is 19.

(Side note: yes, median and mean can be the same.)

Mode - - - this is repeat/most common numbers! 20 repeats. 20 is the mode.

Range - - - biggest number is 29, littlest is 11. The range is 29-11 = 18.

Answer:

\(y = (x-2)^{2} -4\)

Step-by-step explanation:

To complete the square: add 4 to both sides because the product of 4 as 2 as the factor which 2 * 2 so \(2^{2}\)

\(y + ? = x^{2} - 4x + ?\)

\(y + 2^{2} = x^{2} - 4x + 2^{2}\)

\(y + 4 = x^{2} - 4x + 4\)

Now we can factor the expression

\(y + 4 = (x-2)^{2}\)

Move the 4 to the other side to isolate y which changes the sign

\(y = (x-2)^{2} - 4\)  

Answer:

(0, 3)

Step-by-step explanation:

The y-intercept occurs when \(x=0\). To find the y-coordinate of the y-intercept, simply set x to 0 and solve for y:

\(7(0)+3y=9,\\3y=9,\\y=3\)

Therefore, the y-intercept of the given equation is (0, 3).

Answer:

Step-by-step explanation:

a) The tree diagram for the results of tossing a fair two-sided coin four times would look like this:

     (1)

    /   \

 (H)     (T)

/   \   /   \

(2-H) (2-T) (2-H) (2-T)

/ \ / \ /

(3-HH) (3-HT) (3-TH) (3-TT)

b) There are four stages in the tree diagram.

c) The possible outcomes (the sample space) would be all the paths from the root of the tree to the leaves, which represent the results of tossing the coin four times. The possible outcomes are:

HHHHH

HHHTT

HHTHT

HHTTH

HTTHH

HTHHT

HTHTH

THHHH

THHTT

THTHT

TTHHT

TTHTH

TTTTT

d) There are 2^4 = 16 outcomes in the sample space.

ALSO:

a) Draw the Tree Diagram

Start with a root node labeled with the first toss (toss 1)

From the root node, draw two branches, one labeled with "Heads" (H) and the other with "Tails" (T) to represent the possible outcomes of the first toss.

Repeat this process for each of the next tosses (toss 2, 3, and 4)

Continue until all the possible outcomes of the four tosses have been represented.

Here is an example of the tree diagram:

(1)

/

(H) (T)

/ \ /

(2-H) (2-T) (2-H) (2-T)

/ \ / \ /

(3-HH) (3-HT) (3-TH) (3-TT)

/ \ / \ /

(4-HHH) (4-HHT) (4-THH) (4-TTT)

b) Number of Stages in the Tree Diagram

There are four stages in the tree diagram, one for each toss of the coin.

c) Possible Outcomes (Sample Space)

The possible outcomes (sample space) are all the paths from the root of the tree to the leaves, which represent the results of tossing the coin four times.

There are 16 possible outcomes in the sample space, as shown below:

HHHHH

HHHTT

HHTHT

HHTTH

HTTHH

HTHHT

HTHTH

THHHH

THHTT

THTHT

TTHHT

TTHTH

TTTHH

TTTTH

TTTTT

d) Number of Outcomes in the Sample Space

There are 2^4 = 16 outcomes in the sample space.

This is because for each toss, there are two possible outcomes (Heads or Tails), and since there are four tosses, there are 2 * 2 * 2 * 2 = 16 possible combinations.

ALSO:

a) Draw the Tree Diagram

Start with a root node labeled with the first toss (toss 1).

From the root node, draw two branches, one labeled with "Heads" (H) and the other with "Tails" (T) to represent the possible outcomes of the first toss.

Repeat this process for each of the next tosses (toss 2, 3, and 4).

Continue until all the possible outcomes of the four tosses have been represented.

Here is an example of the tree diagram:

(1)

/

(H) (T)

/ \ /

(2-H) (2-T) (2-H) (2-T)

/ \ / \ /

(3-HH) (3-HT) (3-TH) (3-TT)

/ \ / \ /

(4-HHH) (4-HHT) (4-THH) (4-TTT)

b) Number of Stages in the Tree Diagram

There are four stages in the tree diagram, one for each toss of the coin.

c) Possible Outcomes (Sample Space)

The possible outcomes (sample space) are all the paths from the root of the tree to the leaves, which represent the results of tossing the coin four times.

There are 16 possible outcomes in the sample space, as shown below:

HHHHH

HHHTT

HHTHT

HHTTH

HTTHH

HTHHT

HTHTH

THHHH

THHTT

THTHT

TTHHT

TTHTH

TTTHH

TTTTH

TTTTT

d) Number of Outcomes in the Sample Space

There are 2^4 = 16 outcomes in the sample space.

This is because for each toss, there are two possible outcomes (Heads or Tails), and since there are four tosses, there are 2 * 2 * 2 * 2 = 16 possible combinations.

I hope this step-by-step explanation with the diagram helps! Let me know if you need further clarification.

Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

Answer:

f

Step-by-step explanation:

Using the hypergeometric distribution, it is found that:

a) The probability distribution is:

\(P(X = 0) = 0.357\)

\(P(X = 1) = 0.536\)

\(P(X = 2) = 0.107\)

b) The expected value is of 0.75.

The cameras are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

Item a:

The distribution is the probability of each outcome, thus:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 0) = h(0,8,2,3) = \frac{C_{3,0}C_{5,2}}{C_{8,2}} = 0.357\)

\(P(X = 1) = h(1,8,2,3) = \frac{C_{3,1}C_{5,1}}{C_{8,2}} = 0.536\)

\(P(X = 2) = h(2,8,2,3) = \frac{C_{3,2}C_{5,0}}{C_{8,2}} = 0.107\)

Item b:

The expected value for the hypergeometric distribution is:

\(E(X) = \frac{nk}{N}\)

Then:

\(E(X) = \frac{2(3)}{8} = 0.75\)

The expected value is of 0.75.

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Answer:

c or 4 3/8

Step-by-step explanation:

Just multiplied

Please mark brainlest

Answer:

1) x<2.5 2) x<2.5 (both are smaller numbers than 2.5)

Step-by-step explanation:

I'm sure there is a easier way to figure this question out but how I did is by simply imputing numbers smaller or bigger into where the x is. For example, I imputed 3 into -4x+5>-5. So, -4(3)+5>5, = -7>5, this is false, so x must be smaller than 2.5 in order for this to be true.

Answer:

The answer is obviously (2³$&8*9ⁿ+⁶7⅞)

the exponent of x in the simplified expression is 10. Let's simplify the expression step by step: \($(x\sqrt{x^3})^4$\)

First, we can simplify the square root:

\($\sqrt{x^3} = x^{3/2}$\)

Now the expression becomes:

\($(x \cdot x^{3/2})^4$\)

When you raise a power to another power, you multiply the exponents:

\($(x^{1} \cdot x^{3/2})^4$\)

Adding the exponents:

\($x^{(1 + 3/2)}^4$\\$x^{(2.5)}^4$\)

Now, when you raise a number to a power and then raise that result to another power, you multiply the exponents:

\($x^{(2.5 \cdot 4)}$$x^{10}$\)

So, the exponent of x in the simplified expression is 10.

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To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)

The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)

The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)

Solving for\(\(x\),\) we divide both sides of the equation by 3:

\(\(x = \frac{71}{3}\).\)

Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.

The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:

\(\(x = 2\pi r\).\)

Substituting the value of x we found earlier, we have:

\(\(\frac{71}{3} = 2\pi r\).\)

Solving for r, we divide both sides of the equation by \(\(2\pi\):\)

\(\(r = \frac{71}{6\pi}\).\)

Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.

In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.

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Answer:

                        28

                  4             7

           2             2

here it is, hope it helps :)

Answer:

21 miles per gallon

Step-by-step explanation:

252 miles divided by the 12 gallons equals 21 miles per gallon

Answer:

12/12

Step-by-step explanation:

6/12= 1/2

so 1/2+1/2 = One Whole and that the same thing as 12/12

Answer:

Answer is option C

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The interest for the first quarter would be $ 15

The value of the CD when it matures is $ 2, 030. 11

The interest is said to compound quarterly which means that the periodic interest rate per quarter is:

= 3 % / 4

= 0. 75 % per quarter

The interest in the first quarter :

= 0. 75 % x 2, 000

= $ 15

The value of the CD at maturity is:

= 2, 000 x ( 1 + 0. 75% ) ²

= $ 2, 030. 11

Note : 2 periods because 6 months is 2 quarters.

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Answer: you pay 18$

Step-by-step explanation:96 ounce×1pound/16ounce×3$/1pound=18$

The amount the cashier charged is incorrect. Based on the given information, the amount of fruit purchased is 96 ounces, which is equivalent to 6 pounds. Therefore, the total cost of the fruit should be 6 pounds x $3 per pound = $18.

The error the cashier made was converting ounces to pounds incorrectly. 96 ounces is equivalent to 6 pounds, not 1,536 pounds. The cashier multiplied 96 by 16 (the number of ounces in a pound) instead of dividing by 16 to get the number of pounds.

Answer: (2,1)

Step-by-step explanation: When you compare each individual graph, look at the points of intersection.

1. Substitute y=3x-5

2. Isolate x for 3x-5 = -x-1: So there x=



Now for the last piece of the graph, I am using the first equation

y= 3x-5

Subsitute the x for

y= 3(1)-5

Simplify your answer

So the answer for this is (2,1)

Answer:

Option 1 I believe

Step-by-step explanation:

The phrase as a mathematical expression 42 decreased by x, divided by 13 is = (42-x)/13

Translating words into algebra: A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.

it is asked to find the phrase as a mathematical expression

The given phrase is 42 decreased by x, divided by 13

decreased is the keyword used where we have to do subtraction

42 decreased by x = 42-x

divided is the keyword used where we have to do division

divided by 13 = (42-x)/13

42 decreased by x, divided by 13 = (42-x)/13

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Answer:

Solution,

\(b = 6 \: ft \\ h = \sqrt{ {5}^{2} - {3}^{2} } \\ \: \: \: \: \: = \sqrt{25 - 9} \\ \: \: \: \: \: = \sqrt{16} \\ \: \: = \sqrt{ {4}^{2} } \\ \: \: \: \: = 4\)

Now,

\(volume = \frac{1}{3} bh \\ \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \times {6}^{2} \times 4 \\ \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \times 36 \times 4 \\ \: \: \: \: \: \: \: \: \: \: \: = 48 \: {ft}^{3} \)

hope this helps...

Good luck on your assignment..

Answer:

Volume = 48 ft³

Step-by-step explanation:

Finding h first by Pythagorean Theorem:

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

=> \(5^2= 3^2 + h^2\)

=> \(h^2 = 25-9\\h^2 = 16\)

Taking sqrt on both sides

=> h = 4 ft

Now, The volume:

=> Volume = \(a^2\frac{h}{3}\)

=> Volume = \((6)^2\frac{4}{3}\)

=> Volume = \(36 \frac{4}{3}\)

=> Volume = 12 * 4

=> Volume = 48 ft³

Answer:

To find the number of miles Jodi's car traveled per gallon of gas, we need to divide the distance traveled by the amount of gas used:

miles per gallon = distance traveled / amount of gas used

distance traveled = 456 miles

amount of gas used = 12 gallons

miles per gallon = 456 miles / 12 gallons

miles per gallon = 38 miles/gallon

Therefore, Jodi's car traveled 38 miles per gallon of gas.

Answer:

38 miles

Step-by-step explanation:

Set up your division: 456 / 12

456 divided by 12 is 38

So, Jodi's car travels at 38 miles per gallon of gas.