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Ymorist [56]
3 years ago
10

What is the answer tie this problem (show ALL work please and thankyou) 1/3(18+12q)=6(2q-7)

Mathematics
1 answer:
qaws [65]3 years ago
7 0
\frac{1}{3}(18 + 12q) = 6(2q - 7)   Use the Distributive Property on both sides
  6 + 4q = 12q - 42   Subtract 12q from both sides
   6 - 8q = -42          Subtract 6 from both sides
       -8q = -48           Divide both sides by -8
          q = 6
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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
Over the weekend, Kari drank 5/6 of a bottle of soda and Aisha drank 1/6 of a bottle.
Rina8888 [55]

Answer:

4/6= 2/3

Step-by-step explanation:

5/6 - 1/6 = 4/6

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3 0
1 year ago
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Bella wants to save for a vacation in three years and this vacation costs $2300. She deposits $2000 into a bank earning 5% inter
ddd [48]

Answer:

$2,323.2

Step-by-step explanation:

A = P(1 + r/n)^nt

Where,

A = future value = ?

P = present value = 2,000

r = interest rate = 5% = 0.05

n = number of periods = 12

t = time = 3 years

A = P(1 + r/n)^nt

= 2,000(1 + 0.05/12)^12*3

= 2,000( 1 + 0.00417)^36

= 2,000( 1.00417)^36

= 2,000(1.1616)

= 2,323.2

A = $2,323.2

5 0
2 years ago
The las answer is Center E and scale factor 1/4 pleaseee helpp
hoa [83]
<h3>Answer: D) center E, scale factor 1/4</h3>

======================================

Explanation:

Point E is the center of the dilation (we can think of this as the origin point). This is because point E is in the same exact location as point E'. This is a fixed point. The other points move.

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scale factor = (E'F')/(EF)

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Keep in mind that EF = EF'+F'F = 2+6 = 8.

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