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masha68 [24]
3 years ago
5

Which of the following fractions converts to

Mathematics
1 answer:
natta225 [31]3 years ago
6 0

Answer:

d. 2/9

Step-by-step explanation:

7/8 - 0.85

3/5 - 0.6

5/2 - 2.5

2/9 - 0.222... the two is a recurring number

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Find the volume of the triangular prism in the picture shown. Round your answer to the
Olenka [21]

Given:

A figure of a triangular prism.

Height of triangular base = 9\dfrac{2}{3} yd

Base of triangular base = 4 yd

Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

V=Bh              ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

B=\dfrac{1}{2}\times base\times height

B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}

B=2\times \dfrac{29}{3}

B=\dfrac{58}{3}

Putting B=\dfrac{58}{3} and h=4 in (i), we get

V=\dfrac{58}{3}\times 4

V=\dfrac{232}{3}

V=77.33...

V\approx 77.3

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.

4 0
2 years ago
Use the drawing tools to form the correct answer on the provided graph.
4vir4ik [10]

Answer: (0,1), (1,0)

Step-by-step explanation:

plug in a number for y.

ex) x=0 y=1

y=-x + 1

1= -0 + 1

1=0 + 1

5 0
2 years ago
Which expression is equivalent to 2 (14x-37+28x+12.2-5y-17.5)?
ziro4ka [17]

Answer:

A. 84x - 16y - 10.6

Explanation:

\sf \rightarrow 2(14x-3y+28x+12.2-5y-17.5)

\sf \rightarrow 2 (42x-8y-5.3)

apply distributive method: a(b + c) = ab + ac

\sf \rightarrow 2 (42x) -2(8y)-2(5.3)

\sf \rightarrow 84x -16y-10.6

7 0
1 year ago
The physical plant at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. Th
ankoles [38]

We have been given that the distribution of the number of daily requests is bell-shaped and has a mean of 38 and a standard deviation of 6. We are asked to find the approximate percentage of lightbulb replacement requests numbering between 38 and 56.

First of all, we will find z-score corresponding to 38 and 56.

z=\frac{x-\mu}{\sigma}

z=\frac{38-38}{6}=\frac{0}{6}=0

Now we will find z-score corresponding to 56.

z=\frac{56-38}{6}=\frac{18}{6}=3

We know that according to Empirical rule approximately 68% data lies with-in standard deviation of mean, approximately 95% data lies within 2 standard deviation of mean and approximately 99.7% data lies within 3 standard deviation of mean that is -3\sigma\text{ to }3\sigma.

We can see that data point 38 is at mean as it's z-score is 0 and z-score of 56 is 3. This means that 56 is 3 standard deviation above mean.

We know that mean is at center of normal distribution curve. So to find percentage of data points 3 SD above mean, we will divide 99.7% by 2.

\frac{99.7\%}{2}=49.85\%

Therefore, approximately 49.85\% of lightbulb replacement requests numbering between 38 and 56.

6 0
3 years ago
What is 60 x 60 - 12 =? fp ifykyk
salantis [7]

Answer:

3588

Step-by-step explanation:

60*60=3600

3600-12

6 0
3 years ago
Read 2 more answers
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