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Answer:

25%

Step-by-step explanation:

16 x 100 ÷ 64.

you simply take the minutes that he exercised and thereafter divide it by the recommended exercise that was prescribed by his coach.

Answer:

45 or positive 45

Step-by-step explanation:

Answer: 45

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Given that,

[tex]a=3+2\sqrt{2}[/tex]

We need to find the value of [tex]a\times \dfrac{1}{a}[/tex].

So,

[tex]=3+2\sqrt{2} \times \dfrac{1}{3+2\sqrt{2}}\\\\=\dfrac{3+2\sqrt{2}}{3+2\sqrt{2}}[/tex]

As numerator and dinominator is same. It means,

[tex]=\dfrac{3+2\sqrt{2}}{3+2\sqrt{2}}\\\\=1[/tex]

So, the value of the given expression is equal to 1.

Answer:

answer is -6

Step-by-step explanation:

hope it helped!!!

9514 1404 393

Answer:

Step-by-step explanation:

The inverse variation described can be either of ...

  c = k/d

or

  d = k/c

Either way, the equation can also be written as ...

  cd = k

For the given values of c and d, the value of k is ...

  (5)(5/3) = k = 25/3

So, the model can be written as ...

  cd = 25/3

or

  d = (25/3)/c

__

For c=10, the value of d is ...

  d = (25/3)/10 = 25/30

  d = 5/6

Answer:

Area= 4y^2 + 14y + 12

Perimeter = 10y + 16

Step-by-step explanation:

Area of a reactangle = length × width

= (4y+6) × (y+2)

= 4y^2 + 6y + 8y + 12

= 4y^2 + 14y + 12

Perimeter of a rectangle = 2 × (a +b)

= 2 × ( 4y + 6 + y+ 2)

= 2 × ( 5y + 8)

= 10y + 16

Answer:

An acute angle is an angle that measures less than 90 degrees. A triangle formed by all angles measuring less than 90˚ is also known as an acute triangle. For example, in an equilateral triangle, all three angles measure 60˚, making it an acute triangle.

hope this answer helps you.....

Step-by-step explanation:

2x^3 - 10x^2 + 8x -3

hope this helps

Answer:

87

Step-by-step explanation:

Step 1: X is the first number

Step 2: X + 1 is the second number

Step 3: X + 2 is the third number

Step 4: X +3 is the fourth number

Step 5: Take the sum of all of those:

4x+6=354

4x=348

x=87

The second number in the sequence is 88.

87,88,89,90 = 354

Answer: Second integer is 87

Step-by-step explanation:

Sum of four consecu. integers = 354

Let the integers be x, x+1, x+2 , x+3.

Sum = 354

x+x+1+x+2+x+3 = 354

4x+6 = 354

4x = 354 - 6

4x = 348

x = 348/4

x = 87

Therefore, first integer = x =87

Second integer = x+1 = 88

Third integer = x+2 = 89

Fourth integer = x+3 = 90

So, second integer is 88 .

Answer:

A

Step-by-step explanation:

The net can be folded to form a pyramid

the answer 16 im pretty sure

Answer:

3

December. total change in December is greater than change in January. 3 is greater than 2

August. the total change in hair growth is 4.

Step-by-step explanation:

total change in hair length = 2 - 1 + 3 - 4 + 3 = 3

My hair is longer in January .

total change in hair length in February = 2 -1 =  1

total change in hair length in August  = 1 + 3 = 4

total change in hair length in September = 4  - 4 = 0

total change in hair length in December = 0 + 3 = 3

My hair is the longest in August because that is the month that has the highest change in hair length

Answer:

P = 0.232

Step-by-step explanation:

In the cooler, we have 12 bottles of apple juice and 18 bottles of orange juice.

This adds up to a total of 30 bottles.

Now we want to find the probability of pulling a bottle of apple juice after you pulled one bottle of apple juice.

The probability of pulling a bottle of apple juice at the beginning is equal to the quotient between the number of apple juice bottles in the cooler and the total number of bottles in the cooler,

This means that 12 out of 30 are apple juice, then the probability of getting first a bottle of apple juice is:

p = 12/30

Now, we want to find the probability of getting another, we will do the same calculation than above, but now the number of bottles of apple juice is 11 (because we took one) and the total number of bottles is 29.

In this case, the probability is:

q = 11/29

The joint probability (the probability of both events happening) is equal to the product of the individual probabilities.

Then the probability of pulling apple juice and then pulling another apple juice is:

P = p*q = (12/30)*(11/29) = 0.232

Answer:

80% of the values will occurs above 68.24.

Step-by-step explain

thinking this is right but im sorry if its wrong

It goes in the order 3,1,2,4

Answer:

It’s 0.30

Step-by-step explanation:

I took the test bro

Answer:

3yds by 3yds

Step-by-step explanation:

3×3=9

9514 1404 393

Answer:

  120,000 cm

Step-by-step explanation:

There are 100 cm in 1 m, and there are 1000 m in 1 km. So, there are 100,000 cm in 1 km.

1.2 km is 120,000 cm

Answer: There is no choice available for the answer.

Step-by-step explanation:

The question is asking for the value of m in terms of n, so we need to isolate m to one side.

Given

mn=12

Divide n on both sides

mn/n=12/n

m=12/n

Hope this helps!! :)

Please let me know if you have any questions

Answer:

In 2010 the time will be 44.8 seconds.

Step-by-step explanation:

Given that the Olympic time for men's 400-m hurdles has been decreasing by about 0.09 seconds per year since 1930, when the record was 52 seconds, to predict what the time will be in 2010 the following calculation must be performed:

52 - ((2010 - 1930) x 0.09) = X

52 - (80 x 0.09) = X

52 - 7.2 = X

44.8 = X

Thus, in 2010 the time will be 44.8 seconds.

Answer:

Probability Distributions

A listing of all the values the random variable can assume with their corresponding probabilities make a probability distribution.

A note about random variables. A random variable does not mean that the values can be anything (a random number). Random variables have a well defined set of outcomes and well defined probabilities for the occurrence of each outcome. The random refers to the fact that the outcomes happen by chance -- that is, you don't know which outcome will occur next.

9514 1404 393

Answer:

  (3/2π -(9/4)√3) m² ≈ 0.8 m²

Step-by-step explanation:

The area of the segment is the difference between the area of the sector and the area of the triangle.

  sector area = 1/2r²α . . . . where r is the radius and α is the central angle in radians

  triangle area = 1/2r²·sin(α) . . . . same variable definitions

Then the area of the segment is ...

  segment area = sector area - triangle area

  segment area = (1/2)r²(α -sin(α))

The central angle subtended by the segment is 360° -300° = 60° = π/3 radians

Then the segment area is ...

  A = (1/2)(3 m)²(π/3 -√3/2) = (3/2π -(9/4)√3) m² ≈ 0.8 m²

Complete option:

The sample size is less than 10 percent of the population size. A. II onlyB. III onlyC. II and III onlyD. I, II, and III

Answer:

D.) I, II, and III

Step-by-step explanation:

The sample are not well randomly selected as the samples were only selected from a single source, the environmental club in the school.

Similarly only 20 samples were chosen, these 20 samples are not enough to assume normality as the minimum number of samples required to assume normality according to the Central limit theorem is 30 samples or more.

10% of the population size is :

Population size = 5000

0.10 * 5000 = 500 samples

Hence, sample size used is less than 10% of population size.

Answer:

B

Step-by-step explanation:

Answer:

11) c = 16.1

12) c = 11.4

Step-by-step explanation:

11)

a² + b² = c²

8² + 14² = c²

64 + 196 = c²

c² = 260

[tex]\sqrt{c^2} =\sqrt{260}[/tex]

c = 16.1

12)

a² + b² = c²

7² + 9² = c²

49 + 81 = c²

c² = 130

[tex]\sqrt{c^2} =\sqrt{130}[/tex]

c = 11.4

• Question 1 :-

We see that in a right angled triangle two sides are 8cm and 14cm . We can find the third side using Pythagoras Theorem .

[tex]\tt \to Hypotenuse^2 = Perpendicular^2+Base^2\\\\\tt \to h^2 = (8)^2+(14) \\\\\to \tt h^2 = 64 + 196 \\\\\tt \to h^2 = 260 \\\\\tt \to h=\sqrt{260} \\\\\tt \to \boxed{\orange{\tt h = 16.12 }}[/tex]

____________________________

• Question 2 :-

[tex]\tt \to Hypotenuse^2 = Perpendicular^2+Base^2\\\\\tt \to h^2 = (9)^2+(7)^2 \\\\\to\tt h^2 = 81 + 49 \\\\\tt \to h^2 = 130 \\\\\tt \to h=\sqrt{130} \\\\\tt \to \boxed{\orange{\tt h = 11.40}}[/tex]