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GarryVolchara [31]
3 years ago
13

Is 13.654 ratinal or irratinal?

Mathematics
2 answers:
Airida [17]3 years ago
4 0

Answer:

rational

Step-by-step explanation:

Leona [35]3 years ago
3 0

Answer:

it is rational

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What is the measure of <7?
mash [69]

Answer:

120

Step-by-step explanation:

<2 = 120 degrees

<3 = <2  vertical angles

Assuming b is parallel to c

<3 = <6  alternate interior angles

<6 = <7 vertical angles

<2 = <7 =120

5 0
3 years ago
The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his
steposvetlana [31]

The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>

<em><u>Recall:</u></em>

Volume of a spherical shape = \frac{4}{3} \pi r^3

Volume of a rectangular prism = l \times w \times h

<em><u>Given:</u></em>

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

  • First, find the volume of the basketball:

Volume of ball = \frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\

Volume of basketball = 448.92 $ in^3

  • Convert to ft^3

1728 $ in.^3 = 1 $ ft^3

<em>Therefore,</em>

  • Volume of basketball = \frac{448.92}{1728} = 0.26 $ ft^3

  • Find the volume of the office (rectangular prism):

Volume of the office = 20 \times 18 \times 12 = 4,320 $ ft^3

  • Number of basket ball that will fill the office = Volume of office / volume of basketball

  • <em>Thus:</em>

Number of basket ball that will fill the office = \frac{4,320}{0.26} = 16,615

Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.

Learn more here:

brainly.com/question/16098833

6 0
2 years ago
Marcus said the product of 78 × 134 is 94.<br><br> How can you tell that his answer is wrong?
QveST [7]
You can use estimation.

80×130=10,400

Clearly 10,400 and 94 are way off.
7 0
3 years ago
The low temperatures in Anchorage, Alaska, for a week were − 6, − 3, − 1, 1, − 3, − 9, and − 14 degrees Celsius. What two temper
Inessa05 [86]

The two temperatures could be removed so that the average of the remaining numbers is the same as the average of the original set of numbers are -1 and -9

Step-by-step explanation:

The formula of the average of a set of data is A=\frac{S}{N} , where

  • S is the sum of the data in the set
  • N is the number of the data in the set

∵ The low temperatures in Anchorage, Alaska, for a week were

   − 6, − 3, − 1, 1, − 3, − 9, and − 14 degrees Celsius

∴ The set of the data is { -6 , -3 , -1 , 1 , -3 , -9 , -14}

- Add the data in the set

∵ S = -6 + -3 + -1 + 1 + -3 + -9 + -14

∴ S = -35

∵ The set has 7 data

∴ N = 7

- Use the formula of the average above to find it

∴ A=\frac{-35}{7}

∴ A = -5

∴ The average of the original set of numbers is -5

To keep the average the same after removing two numbers multiply the average by the new number of data to find the new sum

∵ The number of data after removing two numbers is 5

∴ N = 5

∵ A = -5

- By using the rule of average

∴ -5=\frac{S}{5}

- Multiply both sides by 5

∴ -25 = S

∴ The new sum is -25

- Lets find which two numbers of have a sum of -10 because

   the difference between -35 and -25 is -10

∵ -1 + -9 = -10

∵ -6 + -3 + 1 + -3 + -14 = -25

∴ We could removed -1 and -9

The two temperatures could be removed so that the average of the remaining numbers is the same as the average of the original set of numbers are -1 and -9

Learn more:

You can learn more about the average in brainly.com/question/10764770

#LearnwithBrainly

7 0
3 years ago
A basketball player has made 6060​% of his foul shots during the season. Assume the shots are independent. ​
motikmotik

Answer:

a) 2.5 shots

b) 59.4 shots

c) 4.87 shots

Step-by-step explanation:

Probability of making the shot = 0.6

Probability of missing the shot = 0.4

a) The expected number of shots until the player misses is given by:

E(X) = \frac{1}{P(X)}=\frac{1}{0.4}  \\E(X) = 2.5\ shots

The expected number of shots until the first miss is 2.5

b) The expected number of shots made in 99 attempts is:

E=99*0.6\\E=59.4\ shots

He is expected to make 59.4 shots

c) Let "p" be the proportion shots that the player make, the standard deviation for n = 99 shots is:

s=\sqrt{n*p*(1-p)}\\ s= 4.87\ shots

The standard deviation is 4.87 shots.

7 0
2 years ago
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