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3 years ago

What is the factored form of the expression t^2-25

Mathematics

1 answer:

LekaFEV [45]3 years ago

3 0

This is called difference of squares. It's like
a^2-b^2=(a-b)(a+b)

t^2-25=(t-5)(t+5)

Hope this helps :)

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A bowl contains 6 green grapes, 10 red grapes, and 8 black grapes. Which of the following is the correct

irina1246 [14]

Using the it's concept, the correct calculation for the probability of choosing a red grape and then without putting the red grape back into the bowl, choosing a green grape is:

$p = \frac{5}{2} \times \frac{1}{23} = \frac{5}{46}$

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, we have that there is a total of 6 + 10 + 8 = 24 grapes. For the first grape, 10 are red, hence the probability that the first grape is red is:

$pR = \frac{10}{24} = \frac{5}[12}$

For the second grape, considering that the first was red and was removed, there will be 23 grapes, out of which 6 will be green, hence the probability that the second grape is green is:

$pG = \frac{6}{23}$

Hence the correct expression is found as follows:

$p = pR \times pG = \frac{5}{12} \times \frac{6}{23} = \frac{5}{2} \times \frac{1}{23} = \frac{5}{46}$

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

5 0

2 years ago

A piece of string of length 85 cm is divided into three pieces in the ratio 2 : 3 : 5. Calculate the length of the

Galina-37 [17]

Answer:

a=2/10 x85

=17cm

b.3/10 x 85

=25.5cm

c.5/10 x 85

=42.5cm

the shortest piece is 17cm

Step-by-step explanation:

8 0

3 years ago

The mean temperature for the first 7 days in January was 6 degrees.The temperature on the 8 days was 10 degrees . What is the me

kolezko [41]

Answer: The mean temperature for the first eight days is 6.5 degrees

Step-by-step explanation: The most important piece of clue has been given which is the mean (average) for the observed data set, which is 7 days.

Note that the formula for the mean of a data set is derived as;

Mean = ∑x / f

Where ∑x is the summation of all observed data set and f is the number of data observed, that is 7. The formula now becomes;

6 = ∑x / 7

By cross multiplication, we now have,

6 * 7 = ∑x

42 = ∑x

This means the addition of all temperature observed on the first 7 days is 42. The temperature on the eighth day is now given as 10 degrees, this means the summation of all observed data for the first eight days would become 42 + 10 which equals 52. Therefore when calculating the mean for the first eight days, ∑x is now 52. The formula for the first eight days therefore is derived as follows;

Mean = ∑x / 8

Mean = 52 / 8

Mean = 6.5

The calculations therefore show that the mean temperature for the first eight days in January is 6.5 degrees

3 0

4 years ago

Write the missing number<br> :)

iVinArrow [24]

Answer:

u did not show any answers sorry bud

Step-by-step explanation:

6 0