Coach Bennet’s high school basketball team has 14 players, consisting of six juniors and eight seniors. Coach Bennet must select three players from the team to participate in a summer basketball clinic.
To choose the three players fairly, Coach Bennet decides to set up a free throw contest. The three players who make the most consecutive free throws will get to go to the summer basketball clinic.

How many different orders of top-three finishers are possible?
Drag the tiles to the correct locations on the equation. Not all tiles will be used.

Answer:

Step-by-step explanation:

Given dimensions of

Find the lateral surface area of both figures

Find the ratio A/B

Answer:

the top right (2) answer is probably what you'll want to go for, if this is incorrect then you have my deepest apologies

Step-by-step explanation:

If the height is 11 cm and the volume is486 cubic cm. Then the radius of the can will be 3.75 cm.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A can has a height of 11 cm and a volume of 486 cubic cm.

Then the radius of the can will be

We know that the volume is given as

Volume = πr²h

     486 = π r² x 11

         r² = 14.06

           r = 3.75 cm

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Answer:

Step-by-step explanation:

the discount percentage :

[tex]\frac{472-118}{472} \times100 = 75 \%[/tex]

The percentage decrease ( discount percentage ).

[tex]\large\boxed{\sf{formula = 100 \times \frac{(final - initial)}{initial} }}[/tex]

We'll have to subtract 472 ( initial value ) from 118 ( final value).

[tex]472 - 118[/tex]

[tex] = 354[/tex]

Now, we'll have to divide 354 ( difference ) by 118 ( initial value ) and multiply by 100.

[tex] 100 \times \frac{354}{118} [/tex]

[tex]\large\boxed{\sf{ = 75\% }}[/tex]

Hence, the discount percentage is 75.

Step-by-step explanation:

a) 5³= 5*5*5 = 125

5/125*100%

4%

b) 5²=5*5=25

25/125*100%

20%

The unicycle moves a distance of 251.20cm if the wheel turn once and the wheel must rotate 32 times to cover a distance of 100m

The formula for calculating the circumference of a circle is given as:

C = 2pi r

r is the radius of the circle

a) r = 80/2 = 40cm

C = 2(3.14)(40)
C = 251.20 cm

Hence the unicycle moves a distance of 251.20cm if the wheel turn once

b) Number of revolution * 2pi r = distance covered

n * 2(3.14)(50) = 10000
314n = 10000
n = 10000/314

n =32

Hence the wheel must rotate 32 times to cover a distance of 100m

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Answer:

See below

Step-by-step explanation:

(a)

(b)

(c)

Answer:

The scientific notation for this will be

[tex]7.832 \times {10}^{ - 3} [/tex]

As there are three zero in expression

Answer:

[tex]x\approx-0.7149[/tex]

Step-by-step explanation:

[tex]\displaystyle 6^{x+2}=10\\\\\log_6(6^{x+2})=\log_6(10)\\\\x+2=\frac{\log(10)}{\log(6)}\\\\x+2\approx1.2851\\\\x\approx-0.7149[/tex]

Recall that the change of base formula is [tex]\displaystyle \log_a(b)=\frac{\log(b)}{\log(a)}[/tex]

Answer:

between 4 and 5

Step-by-step explanation:

consider perfect cubes either side of 81 , that is

64 < 81 < 125 , then

[tex]\sqrt[3]{64}[/tex] < [tex]\sqrt[3]{81}[/tex] < [tex]\sqrt[3]{125}[/tex] , that is

4 < [tex]\sqrt[3]{81}[/tex] < 5

Answer:

The base areas aren't same

Step-by-step explanation:

The base areas arent same

Answer:

He did not establish that heights are the same.

Answer:

153.86cm^2

Step-by-step explanation:

area of a circle= πr^2

where r = radius= 14/2= 7miles

area= 3.14×(7×7)

area= 3.14×49= 153.86cm^2

Answer:

10

Step-by-step explanation:

I calculated and it's 10 I'm in car so I can't give the whole explanation

Answer:

Mean = 1.8 in

Step-by-step explanation:

The Median is the middle value when all data values are placed in order of size.

Ordered data values:  0, 0, 0, 1, 1, 1, 2, 3, 4, 6

As there is an even number of data values, the middle value is the mean of the middle two data values.  Therefore, the Median = 1 in

The Mean is the sum of all data values divided by the total number of data values.

[tex]\implies \textsf{Mean}=\dfrac{0+0+0+1+1+1+2+3+4+6}{10}=1.8[/tex]

Therefore, the Mean = 1.8 in

The Median is a better measure of central tendency when the data includes outliers (data values that are far away from the majority), as it is not affected by those outliers.  As there does not appear to be any outliers in this data set, the mean can be used to best describe the center of the data.

Therefore, the Mean = 1.8 in

[tex]xy \\\\=\left(\log_{5\sqrt 5} ~125 \right)\left(\log_{2\sqrt 2} ~64 \right)\\\\=\left(\log_{5\sqrt 5} ~5^3 \right)\left(\log_{2\sqrt 2}~2^6 \right)\\\\=\left(3\log_{5\sqrt 5} ~5 \right)\left(6\log_{2\sqrt 2} ~2 \right)\\\\=\left( 18 \cdot \dfrac{\ln5}{\ln\left(5\sqrt 5\right)} \cdot \dfrac{\ln 2}{ \ln \left( 2 \sqrt 2 \right)}\right)\\\\[/tex]

[tex]=\left( 18 \cdot \dfrac{\ln5}{\ln\left(5^{\tfrac 32}\right)} \cdot \dfrac{\ln 2}{ \ln \left( 2^{\tfrac 32} \right)}\right)~~~~~~~~~~~;\left[\sqrt a = a^{\tfrac 12}~~ \right]\\\\=\left( 18 \cdot \dfrac{\ln5}{\tfrac 32\ln5^} \cdot \dfrac{\ln 2}{\tfrac 32 \ln 2 }\right)\\\\\\=18 \cdot \dfrac 23 \cdot \dfrac 23 \\\\=\dfrac{72}9\\\\=8[/tex]

The expression that represents the volume of the empty space is 9³ - 4/3π(4.5)³

The cube box has a side length of 9.

So, the volume of the box is:

V = 9³

The sphere has a radius of 4.5.

So, the volume of the sphere is:

v = 4/3π(4.5)³

Calculate the difference between both volumes:

d = 9³ - 4/3π(4.5)³

Hence, the expression that represents the volume of the empty space is 9³ - 4/3π(4.5)³

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Answer: that is answer d

Step-by-step explanation:

2023 edge

The value of a and b given that the opposite side are equal are 17 and 6 respectively

The kite is a quadrilateral with 4 sides and the opposite side of the side are equal. If they are, then;

2a - 4 = 30
2a = 34

a = 17

Similarly

3b+6 = 24

3b = 18
b = 6

Hence the value of a and b given that the opposite side are equal are 17 and 6 respectively

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Answer the right answer is a

Answer:

Step-by-step explanation:

Answer:

$0.01

Step-by-step explanation:

Family size rate (per cubic inch)

Regular size rate

Difference in price

Volume of family sized box

Price per inch

Volume of regular size

Price per in

Difference:-

|0.02-0.03|=0.01$

Answer:

332 feet

Step-by-step explanation:

Height = h(2) = - 16(2^2) + 128t + 140   ( NOTE: I added the minus sign)

                      = 332 feet

The maximum height  is 908 feet.For a parabola, h = ax^2 + bx + c, the vertex at point (h,t), is first found by the equation t = b / 2a, and then plugging that point into the equation to find h.

For a parabola, h = ax^2 + bx + c, the vertex at point (h,k), is first found by the equation t = b / 2a, and then plugging that point into the equation to find h.

Given the equation h = 16t^2 + 128t + 140, we know a = 16, b = 128, c = 140.

t = -b/2a

t = -(128) / 2(16)

t = -128 / 32

t = 4 seconds

let's plug in t=4 to our equation:

h = 16t^2 + 128t + 140

h = 16*(4)^2 + 128*(4)+ 140

h =  908ft

h = 908 feet

answer is that the maximum height  is 908 feet.

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Answer:

1/3

Step-by-step explanation:

That is the simplified version of the number of all the double-digit odd days (11,13,15,17,21,23,25,27,29), 10, over the total number of days in April, 30

10/30=1/3

Answer:

m = 1

c = 4

Step-by-step explanation:

First let's review what a slope-intercept form is.

Slope-intercept form is a specific form of linear equations. It always has y on one side and all the other terms on the other. Its structure is:

[tex]y = mx + c[/tex],

where m is the slope and c is the y-intercept.

You can easily read slope (m) and intercept (c) in your equation.

[tex]y = mx + c\\y = x + 4[/tex]

You can see that m in front of x is 1, because x = 1x. Multiplying with 1 perserves the number.

So:

[tex]m = 1\\c = 4[/tex]

Answer:

y = 1/5x + 3

Step-by-step explanation:

y = mx + b

m: slope = 1/5

b: y - intercept

(x, y): (-5, 2)

2 = 1/5(-5) + b

2 = -1 + b

add 1 to both sides to get b alone

2 + 1 = -1 + b + 1

3 = b

Answer:

exponential

Step-by-step explanation:

It is exponential because the variable is in the exponent

Answers:  

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

Explanation:

Part 1

Sort the data values to get

51, 54, 58, 60, 60, 62, 70, 72, 72, 75, 76, 80, 85, 88, 90, 90, 95, 100, 100, 100

Now let's say we had these intervals

Notice each interval is 9 units wide.

The 5 scores 51,54,58,60,60 are in the interval 51-60, which means the first interval has a bar that's 5 units tall.

The scores 62,70 are in the interval 61-70, which means the second bar is 2 units high.

Keep this process going to create the histogram shown below.

It looks like you have the right idea, but your class interval widths aren't the same each time.

Because the class interval widths can change, this means other histograms are possible. Just be sure to stick to one interval width.

-----------------------------------

Part 2

Set A = set of scores that are 70 or larger, i.e. those who passed

Set A = {70, 72, 72, 75, 76, 80, 85, 88, 90, 90, 95, 100, 100, 100}

Set B = set of all scores in the class

Set B = {51, 54, 58, 60, 60, 62, 70, 72, 72, 75, 76, 80, 85, 88, 90, 90, 95, 100, 100, 100}

There are 14 items in set A and 20 in set B

This means 14/20 = 7/10 of the students passed.

Answer:

72 times 0.45 is equal to 33.75

Step-by-step explanation:

You can use a calculator to find this out.

Answer:

32.4

Step-by-step explanation:

After repeatedly adding 0.45 a total of 72 times. You end up getting 32.5

To check the answer you divide 32.5 by 72 and receive 0.45. Checking the answer

Explanation:

The area of a parallelogram is equal to base times height.

The base and height are always perpendicular to one another. Usually the base is horizontal along the ground (if not then you'd need to rotate your paper until it is, but that step is optional).

The base is 6 meters and the height is 7 meters.

Therefore, area = base x height = 6 x 7

The side of 11 meters is not used at all. It's likely put in there as a distraction.

Answer:

A = 6 * 7

Step-by-step explanation:

A parallelogram follows the same rules as a regular quadrilateral, as the only difference is that both its sides have been moved along.