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Stolb23 [73]
3 years ago
14

(a + 3)(a - 2) hurry helpppp asapppp

Mathematics
2 answers:
mote1985 [20]3 years ago
7 0

(a+3)(a-2)

Multiply the two brackets together

a^2-2a+3a+3*-2

a^2+a-6

Answer is a^2+a-6

DedPeter [7]3 years ago
3 0

ANSWER

{a}^{2}  + a - 6

EXPLANATION

The given expression is

(a + 3)(a - 2)

We expand using the distributive property to obtain:

a(a - 2)  + 3(a - 2)

We multiply out the parenthesis to get:

{a}^{2}  - 2a + 3a - 6

Let us now simplify by combining the middle terms to obtain;

{a}^{2}  + a - 6

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Suppose the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars
GuDViN [60]

Answer:

Probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.

Step-by-step explanation:

We are given that the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars. Also, incomes for the industry are distributed normally.

<em>Let X = incomes for the industry</em>

So, X ~ N(\mu=95,\sigma^{2}=5^{2})

Now, the z score probability distribution is given by;

         Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean income of firms in the industry = 95 million dollars

            \sigma = standard deviation = 5 million dollars

So, probability that a randomly selected firm will earn less than 100 million dollars is given by = P(X < 100 million dollars)

    P(X < 100) = P( \frac{X-\mu}{\sigma} < \frac{100-95}{5} ) = P(Z < 1) = 0.8413   {using z table]

                                                     

Therefore, probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.

5 0
3 years ago
The sum of three consecutive numbers is 27. The smallest of the numbers is​
xeze [42]

Answer:

8

Step-by-step explanation:

let the numbers be x,x+1,x+2

x+x+1+x+2=27

3x+3=27

3x=27-3=24

x=24/3=8

8 0
3 years ago
Read 2 more answers
Ayliah is 7 years more than 1/2 of Deb's age<br> use x for the variable
irina [24]

Answer:

The expression \frac{1}{2}x+7 can be used to find Ayliah's age.

Step-by-step explanation:

Given statement is:

Ayliah is 7 years more than 1/2 of Deb's age.

Let,

x represent Deb's age.

The expression for Ayliah's age would be;

7 more means addition.

Ayliah's age = \frac{1}{2}x+7

Hence,

The expression \frac{1}{2}x+7 can be used to find Ayliah's age.

7 0
3 years ago
What’s The values of 30%of81
krek1111 [17]

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{30\% of 81}}{\left(\cfrac{30}{100} \right)81}\implies 24.3

7 0
3 years ago
Help me please top brainilest
Natasha2012 [34]

For a cylinder

V_\textrm{cyl} = \pi r^2 h

Since h = 2r

V_\textrm{cyl} = 2 \pi r^3

We know that's 64 cubic meters,

64 = 2 \pi r^3

The sphere's volume is

V = \frac 4 3 \pi r^3 = \frac 2 3 (2\pi r^3) = \frac 2 3 (64) = \dfrac{128}{3}

Answer: 128/3 cubic meters

That may be that choice peeking out at the bottom; can't really tell

4 0
3 years ago
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