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Effectus [21]
3 years ago
15

a boat traveled 27 miles in 2 hours at this rate how many miles will the boat travel in 1/2 hour as a fraction

Mathematics
1 answer:
nata0808 [166]3 years ago
6 0
13 1/2 miles per hour
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a 5th grade volleyball team scored 32 points in one game. of those points 2/8 were scored in the second half. how many points we
Degger [83]

Answer:

Number of points scored in the first half of the match is 24 points.

Step-by-step explanation:

Total point scored in the volleyball game = 32

Let us assume the points scored in the first half = m

and the point scored on the second half = 2/8 of (Total points)

= \frac{2}{8}  \times  32  = 8

⇒ The number of points s cored in the second - half  =  8 points

Now, Points in FIRST half+ Points in SECOND  half=  Total Points

⇒ m+ 8 = 32

or, m  = 32 - 8 =  24

⇒ m = 24

Hence, the number of points scored in the first half is 24 points.

4 0
3 years ago
Assume that hybridization experiments are conducted with peas having the property that for​ offspring, there is a 0.75 probabili
ivolga24 [154]

Answer:

(a) The mean and the standard deviation for the numbers of peas with green pods in the groups of 36 is 27 and 2.6 respectively.

(b) The significantly low values are those which are less than or equal to 21.8. And on the other hand, the significantly higher values are those which are greater than or equal to 32.2.

(c) The result of 15 peas with green pods is a result that is significantly​ low value.

Step-by-step explanation:

We are given that hybridization experiments are conducted with peas having the property that for​ offspring, there is a 0.75 probability that a pea has green pods.

Assume that the offspring peas are randomly selected in groups of 36.

The above situation can be represented as a binomial distribution;

where, n = sample of offspring peas = 36

            p = probability that a pea has green pods = 0.75

(a) The mean of the binomial distribution is given by the product of sample size (n) and the probability (p), that is;

                    Mean, \mu  =  n \times p

                                    =  36 \times 0.75 = 27 peas

So, the mean number of peas with green pods in the groups of 36 is 27.

Similarly, the standard deviation of the binomial distribution is given by the formula;

            Standard deviation, \sigma  =  \sqrt{n \times p \times (1-p)}

                                                  =  \sqrt{36 \times 0.75 \times (1-0.75)}

                                                  =  \sqrt{6.75}  =  2.6 peas

So, the standard deviation for the numbers of peas with green pods in the groups of 36 is 2.6.

             

(b) Now, the range rule of thumb states that the usual range of values lies within the 2 standard deviations of the mean, that means;

          \mu - 2 \sigma  =  27 - (2 \times 2.6)

                       =  27 - 5.2 = 21.8

          \mu + 2 \sigma  =  27 + (2 \times 2.6)

                       =  27 + 5.2 = 32.2

This means that the significantly low values are those which are less than or equal to 21.8.

And on the other hand, the significantly higher values are those which are greater than or equal to 32.2.

(c) The result of 15 peas with green pods is a result that is a significantly​ low value because the value of 15 is less than 21.8 which is represented as a significantly low value.

5 0
3 years ago
Solving multi-step equations 14v+6=2(5+7v)-6
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The answer is no solution, if my math is correct.

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3 years ago
How do you calculate the mean, medium, and range of the data in a dot plot?
adelina 88 [10]
Add all numbers and divide the total by how many numbers there are
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3 years ago
(0, -9) and (-3, -3)<br> I need this problem solved with work please!
nirvana33 [79]

Answer:

-9-(-3)/0-(-3) = -3/3 = -1

y+9= -1(x-0) <u><em>Point Slope form</em></u>

y+9<u>-9</u>= -1x<u>-9</u>

y= -x-9 <em><u>Slope Intercept form</u></em>

y<u>+x+9</u> = -x-9 <u>+x+9</u>

y+x+9= 0 <u><em>General form</em></u>

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3 years ago
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