All categories

3 years ago

What is the sum of 2 2/3 and 1 5/6?

1 answer:

8 0

First make each fraction into an improper fraction

2 2/3 = 8/3
1 5/6 = 11/6

Next, make the fractions have same denominators. Note, that what you do to the denominator, you do to the numerator.

8/3(2/2) = 16/6

Add
16/6 + 11/6 = 27/6

27/6 = 4 3/6 = 4 1/2

4 1/2 is your simplified answer

hope this helps

You might be interested in

The number of defective circuit boards coming off a soldering machine follows a Poisson distribution. During a specific ten-hour

Alexus [3.1K]

Answer:

a) the probability that the defective board was produced during the first hour of operation is $\frac{1}{10}$ or 0.1000

b) the probability that the defective board was produced during the last hour of operation is $\frac{1}{10}$ or 0.1000

c) the required probability is 0.2000

Step-by-step explanation:

Given the data in the question;

During a specific ten-hour period, one defective circuit board was found.

Lets X represent the number of defective circuit boards coming out of the machine , following Poisson distribution on a particular 10-hours workday which one defective board was found.

Also let Y represent the event of producing one defective circuit board, Y is uniformly distributed over ( 0, 10 ) intervals.

f(y) = $\left \{ {{\frac{1}{b-a} }\\\ }} \right _0$ ; ( a ≤ y ≤ b ) $_{elsewhere$

= $\left \{ {{\frac{1}{10-0} }\\\ }} \right _0$ ; ( 0 ≤ y ≤ 10 ) $_{elsewhere$

f(y) = $\left \{ {{\frac{1}{10} }\\\ }} \right _0$ ; ( 0 ≤ y ≤ 10 ) $_{elsewhere$

Now,

a) the probability that it was produced during the first hour of operation during that period;

P( Y < 1 ) = $\int\limits^1_0 {f(y)} \, dy$

we substitute

= $\int\limits^1_0 {\frac{1}{10} } \, dy$

= $\frac{1}{10} [y]^1_0$

= $\frac{1}{10} [ 1 - 0 ]$

= $\frac{1}{10}$ or 0.1000

Therefore, the probability that the defective board was produced during the first hour of operation is $\frac{1}{10}$ or 0.1000

b) The probability that it was produced during the last hour of operation during that period.

P( Y > 9 ) = $\int\limits^{10}_9 {f(y)} \, dy$

we substitute

= $\int\limits^{10}_9 {\frac{1}{10} } \, dy$

= $\frac{1}{10} [y]^{10}_9$

= $\frac{1}{10} [ 10 - 9 ]$

= $\frac{1}{10}$ or 0.1000

Therefore, the probability that the defective board was produced during the last hour of operation is $\frac{1}{10}$ or 0.1000

no defective circuit boards were produced during the first five hours of operation.

probability that the defective board was manufactured during the sixth hour will be;

P( 5 < Y < 6 | Y > 5 ) = P[ ( 5 < Y < 6 ) ∩ ( Y > 5 ) ] / P( Y > 5 )

= P( 5 < Y < 6 ) / P( Y > 5 )

we substitute

$= (\int\limits^{6}_5 {\frac{1}{10} } \, dy) / (\int\limits^{10}_5 {\frac{1}{10} } \, dy)$

$= (\frac{1}{10} [y]^{6}_5) / (\frac{1}{10} [y]^{10}_5)$

= ( 6-5 ) / ( 10 - 5 )

= 0.2000

Therefore, the required probability is 0.2000

4 0

3 years ago

What is the slope of the line y=-3x + 7?

Anit [1.1K]

Answer:

-3

Step-by-step explanation:

In the slope-intercept form of linear equation (y=mx+b) the slope is the number next to the x, here represented with the letter m. In your equation, y =-3x+7, the m is replaced by -3, so the slope here is -3.

7 0

3 years ago

What's greater 11/16 or 0.688?

KengaRu [80]

11/16..." / " means divide....= 0.6875
0.688

when comparing, if it makes it easier, line ur decimals up and put a zero in any empty spaces...

0.6875
0.6880 (this is the same as 0.688)

so the one that is bigger is : 0.688 <==

8 0

4 years ago

What do m<1 and m<2 equal for both number 10 and 11? This is for geometry

aleksley [76]

10.) The measure of angle 1 is 131° according to the Alternate Interior Angles Theorem. The measure of angle 2 is 49° because 180° - 131° = 49°. I can do this because of the Linear Pair Postulate.

11.) The measure of angle 1 is 65° according to the Vertical Angles Theorem. The measure of angle 2 is 65° according to the Corresponding Angles Theorem.

Hope this helps!

6 0

3 years ago

If the point (2,-5) is reflected in the line y=x, then the image is what? { this is about reflections btw}

nikitadnepr [17]

In this question the answer is C

hope this helped

4 0

3 years ago