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bixtya [17]
3 years ago
13

Find the sum of 1/6and 7/12 in lowest terms.

Mathematics
2 answers:
disa [49]3 years ago
6 0

Answer:3/4

Step-by-step explanation:

Multiply 1/6 by 2 to get 2/12 and then add that to 7/12 and get 9/12

If you simplify that you end up with 3/4

lakkis [162]3 years ago
4 0

Answer:

3/4

Step-by-step explanation:

\frac{1}{6} +\frac{7}{12} =\\\\\frac{1*2}{6*2} +\frac{7}{12} =\\\\\frac{2}{12} +\frac{7}{12} = \\\\\frac{2+7}{12} =\frac{9}{12} = \frac{3*3}{3*4} = \frac{3}{4}

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The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation
serious [3.7K]

The probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.

<h3>What is normally distributed data?</h3>

Normally distributed data is the distribution of probability which is symmetric about the mean.

The mean of the data is the average value of the given data.

The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

The times of the runners in a marathon are normally distributed, with

  • Mean of 3 hours and 50 minutes
  • Standard deviation of 30 minutes.

Refere the probabiliity table attached below. The probability of Z being inside the 1 Standard daviation of mean is 0.84.

The probability of runner selected with time less than or equal to 3 hours and 20 minutes,

P=1-0.84\\P=0.16

Thus, the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.

Learn more about the normally distributed data here;

brainly.com/question/6587992

4 0
2 years ago
Rewrite each equation in vertex form by completing the square. Then identify the vertex.
ioda

ANSWER

Vertex form;

y = 3( {x +  \frac{3}{2} })^{2}  -  \frac{35}{4}

Vertex

V(  - \frac{3}{2} , -  \frac{35}{4} )

EXPLANATION

Given:

f(x) = 3 {x}^{2}  + 9x - 2

We complete the square as follows:

y = 3( {x}^{2}  + 3x) - 2

y = 3( {x}^{2}  + 3x +  \frac{9}{4} ) - 2 - 3 \times  \frac{9}{4}

The vertex form is:

y = 3( {x +  \frac{3}{2} })^{2}  -  \frac{35}{4}

The vertex is

V(  - \frac{3}{2} , -  \frac{35}{4} )

6 0
3 years ago
Read 2 more answers
what is the number seven hundred thirty one million,nine hundred thirty four thousand , thirty written in standard form i put ,
Otrada [13]
The number in standard form is 731,934,030
7 0
3 years ago
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Help me complete it fast pls
andrew11 [14]

Answer:

AC < AB

Step-by-step explanation:

We can see just by looking at it, they are not the same length.

8 0
2 years ago
Pls help due ASAP <br> Show workings
ElenaW [278]

Answer:

YW = 6

Step-by-step explanation:

a^2 + b^2 = c^2

x^2 + 8^2 = 10^2

x^2 + 64 = 100

x^2 + 64 - 64 = 100 - 64

x^2 = 36

√x^2 = √36

x = 6

7 0
3 years ago
Read 2 more answers
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