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3 years ago

Prove that's the decimal number 9.86 is a rational by finding its fractional form

1 answer:

5 0

9.86 = 9.86/1 = (9.86 x 100) / (1 x 100) = 986/100, GCF of 986 and 100 is 2, (986/2) / (100/2) = 493/50 The fractional form of 9.86 is 943/50.

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What is the value of n? A. 59 B. 95 C. 23 D. 36

Advocard [28]

Answer:

B. 95 degrees

Step-by-step explanation:

So in this situation we have to find out the value of the angles in the triangle.

To start off we know that 121 is the value of the top outside angle, right.

And the line it is sitting on is flat.

So the angle on the other side should be able to add up with 121 and make 180 degrees.

So 180 minis 121 is 59 degrees.

Now for the other angle, let’s do 144.

So we know that the inside angle has to add up with the outside to make 180 so 180 minus 144 is 36.

Now we know that all the angles inside a triangle should add up it be 180.

So when adding 36 and 59 degrees we get 95.

So the inside angle in the left side has to add with 95 to be 180.

So 180 minus 95 is 85 degrees.

Now that we know the inside angle we have to find out the outside angle.

So we know that 85 has to add up with the outside angle to be 180.

So we do 180 minus 85 which gets us 95 degrees.

4 0

4 years ago

Read 2 more answers

If 1 quart is equal to 2 pints, then 7 quarts would equal pints. (2 points)

Yuki888 [10]

Answer:

Step-by-step explanation:

7 times 2 = 14 pints

4 0

3 years ago

The time needed to complete a final examination in a particular college course is normallydistributed with a mean of 80 minutes

Artist 52 [7]

Answer:

a) 0.023

b) 0.286

c) 10 students will be unable to complete the exam inthe allotted time.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 80 minutes

Standard Deviation, σ = 10 minutes

We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(completing the exam in one hour or less)

P(x < 60)

$P( x < 60) = P( z < \displaystyle\frac{60 - 80}{10}) = P(z < -2)$

Calculation the value from standard normal z table, we have,

$P(x < 60) =0.023= 2.3\%$

b) P(complete the exam in more than 60 minutes but less than 75 minutes)

$P(60 \leq x \leq 75) = P(\displaystyle\frac{60 - 80}{10} \leq z \leq \displaystyle\frac{75-80}{10}) = P(-2 \leq z \leq -0.5)\\\\= P(z \leq -0.5) - P(z < -2)\\= 0.309- 0.023 = 0.286= 28.6\%$

c) P(completing the exam in more than 90 minutes)

P(x > 90)

$P( x > 90) = P( z > \displaystyle\frac{90 -80}{10}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 90) = 1 - 0.8413 = 0.1587 = 15.87\%$

15.87% of children of class will require more than 90 minutes to complete the test.

Number of children =

$\dfrac{15.87}{100}\times 60 = 9.52\approx 10$

Approximately, 10 students of class will require more than 90 minutes to complete the test.

4 0

4 years ago

HELP !! The figure below is made from a rectangle and a triangle use the measurements shown below , find the area of the figure

Vika [28.1K]

The answer is 76. multiply 15 times 4 which is 60.
and the triangle is the difference of the sides, so 19-15=4.
so then multiply the base and height, this leaves 4x4 which is 16.
then add the two. 60+ 16= 76

7 0

4 years ago

Correct answer gets brainliest

Karo-lina-s [1.5K]

Answer:

B. 9 < 7 or x > 16.

Step-by-step explanation:

I had the same question and the answer was B.

7 0

3 years ago