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3 years ago

Factor the algebraic expression. 27a+24

Mathematics

2 answers:

BartSMP [9]3 years ago

7 0

Answer:

3(9a+8)

Step-by-step explanation:

have a nice day and week

mihalych1998 [28]3 years ago

5 0

Answer:

3(9a+8)

Step-by-step explanation:

The greatest common factor of both terms is 3

So we take 3 outside the brackets to give us:

3(9a+8)

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Use the discriminant to determine the number of solutions for the quadratic equation.

Leno4ka [110]

Answer:

2 real solutions

Step-by-step explanation:

y = -x^2 + 3x + 5

First find the the discriminant:

using b² - 4(a)(b)

(3)²- 4(-1)(5)

=9+20

=29

since the discriminant is more than 0, there are 2 real solutions

7 0

3 years ago

Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only)

disa [49]

$cos y = \frac{8}{13} \\ y = arccos \frac{8}{13} \\ y = 52.41$

3 0

3 years ago

Read 2 more answers

This trapezoid-based right prism has a volume of 30 cm 3 30 cm 3 30, start text, space, c, m, end text, cubed.What is the area o

Ne4ueva [31]

The area base when the trapezoid-based right prism has a volume of, 6cm,5 cm, and 1 cm should be 6.

Calculation of the area

Here we assume

a = 6

b = 5

c = 1

Now we know that

<h3>What is the area of the trapezoid-based right prism?</h3>

$Area=\frac{(a+b)}{2} \times c$

$Area=\frac{(6+5)}{2} \times 1\\Area=\frac{11}{2}\\ Area=5.5\\Area=6$

= 6

Hence, The area base when the trapezoid-based right prism has a volume of, 6cm,5 cm, and 1 cm should be 6.

To learn more about an area here:

brainly.com/question/24682685

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5 0

2 years ago

Sam intends to roll a six sided cube 100 times. What is the probability model he can use to predict whether or not each roll wil

bekas [8.4K]

The outcomes of rolling fair six sided die is $\{1,2,3,4,5,6\}$ . The prime numbers in the above outcomes are $\{2,3,5\}$ . The probability of not rolling a prime number is $p=\frac{3}{6}= 0.5$ .

Each trial is independent.

In the given experiment of 100 trials, the binomial probability model can be used to predict the number of occurrence of non-prime numbers (X). The probability mass function is

$P(X=x)=C(100,x)p^x(1-p)^{100-x},x=0,1,2,3,...,100$ . Since $p=0.5,1-p=0.5$

$P(X=x)=C(100,x)0.5^x(0.5)^{100-x},x=0,1,2,3,...,100 \\ P(X=x)=C(100,x)(0.5)^{100},x=0,1,2,3,...,100$

8 0

3 years ago

Read 2 more answers

Using 5 letters followed by 2 digits, how many passwords are possible?

Deffense [45]

Since there is no condition whatsoever for this arrangement, I can consider the 2 digits and the 5 letters as 7 different objects.

Total permutation (with no repetition):
7 chosen among 7 , that is 7 ! = 5040 arrangements

Total permutation (WITH REPERTITION):

7⁷ = 823 543

6 0

3 years ago