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3 years ago

Rewrite the quadratic function in intercept or factored form g(m)=3m^2+5-8m

Mathematics

1 answer:

gogolik [260]3 years ago

4 0

Split the second term in 3m^2 + 5 - 8m into two terms

3m^2 - 3m - 5m + 5

Factor out the common terms in the first two terms, then in the last two terms.

3m(m - 1) - 5(m - 1)

Factor out the common term m - 1

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An investigation of the ability of a hybrid tomato plant to produce a certain protein found that the amount x of the protein pro

pishuonlain [190]

This is a Question of Statistics and an application of standard normal distribution.

Average amount(Mean) of protein produced by the plant = 109.9
Standard Deviation = 8.1

Size of the sample = 60
Average amount of protein for the sample is the same as that of population.So average amount of protein for the sample = 109.9
Standard Deviation of the sample = (Population Standard Deviation) divided by (square root of sample size)
So sample standard deviation = $\frac{8.1}{ \sqrt{60} }=1.046$

So, we are to find the probability of amount of protein being produced less than 107 for mean 109.9 and standard deviation 1.046.

First we convert this value to z score.

Z-score = $\frac{107-109.9}{1.046}= -2.77$

Using z-table, converting this z score to probability we get:

Probability of mean being less than 107 = 0.0028

Since the probability of mean being less than 107 is less than 0.05. This event is highly unlikely.

3 0

3 years ago

Marta has a lower probability of winning than Elena has. Which could be the outcome that Marta needs to win the game? Select thr

HACTEHA [7]

Answer:

rolling a sum of 7

rolling a sum of 6

rolling a sum that is greater than 2 but less than 5

Step-by-step explanation:

There are 6 possible combination out of 36 that will result in Martha winning the game. First roll have to be even, so its: 2, 4, 6. Second roll have to be less than 3 so its: 1, 2. The combination will be:

(2, 1)= sum 3

(2, 2)= sum 4

(4, 1)= sum 5

(4, 2)= sum 6

(6, 1)= sum 7

(6, 2)= sum 8

If you look at the sum, Marta can only win if the sum is between three and eight inclusive. If the sum is less than three or higher than eight then its impossible for Marta to win.

The third option is wrong, Marta can't win when the sum is 2 (less than three) or 9(higher than eight) since both sum is not possible.

Fourth option is wrong, highest sum Marta can get is eight.

4 0

4 years ago

Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 34 books. There are 1,265 myster

Alborosie

Answer:

37.2 = 38

Step-by-step explanation:

After divideing 1265 by 34, you will get 37.2. As you cannot have books not in bookshelves, you will have to round up and have 38 bookshelves.

3 0

3 years ago

Which equation can be used to find the area of the parrellogram shown

alexira [117]

Area=basexheight

Area=9x4

Area=36

4 0

3 years ago

Read 2 more answers

How do you solve - 16/21 - (- 13/15)

Dennis_Churaev [7]

$\bf -\cfrac{16}{21}-\left( -\cfrac{13}{15} \right)\implies -\cfrac{16}{21}+\cfrac{13}{15}\impliedby \textit{we'll use the LCD of 105}
\\\\\\
\cfrac{(-16\cdot 5)~+~(13\cdot 7)}{105}\implies \cfrac{-80~+~91}{105}\implies \cfrac{+11}{105}\implies \cfrac{11}{105}$

in case you wonder why we used 105 as LCD,

21 = 3 * 7

15 = 3 * 5

the "3" is common to both denominators, so we "use it once" and our LCD is then 3 * 7 * 5.

7 0

3 years ago