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vagabundo [1.1K]
3 years ago
12

Simplify: 5x^3 + 4x^3

Mathematics
2 answers:
Digiron [165]3 years ago
8 0

Answer:

9x^3

Step-by-step explanation:

5x^3 + 4x^3

Since these are like terms

x^3 (5+4)

9x^3

Firdavs [7]3 years ago
7 0

Answer:

9x^3

Step-by-step explanation:

5x^3 + 4x^3

Add the like terms.

=9x^3

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Sarah cannot completely remember her four-digit ATM pin number. She does remember the first two digits, and she knows that each
OLga [1]

Answer:

3/16 or 0.1875

Step-by-step explanation:

Since she remembers the first two digits, she only has to guess the last two digits. If both digits are greater than 5, there are 4 possible alternatives for each digit (6, 7, 8 or 9).

In three tries, the probability that she will get it right is:

P=\frac{3}{4*4}\\P=\frac{3}{16}=0.1875

The probability she will get access to her account is 3/16 or 0.1875.

4 0
3 years ago
assume that when adults with smartphones are randomly selected, 44% use them in meetings or classes. If 10 adult smartphones use
tensa zangetsu [6.8K]

Solution: The given random experiment follows Binomial distribution with n=10,p=0.44

Let X be the number of adults who use their smartphones in meetings or classes.

Therefore, we have to find:

P(X

We know the binomial model is:

P(X=x)=\binom{n}{x} p^{x} (1-p)^{n-x}

\therefore P(X

                       =\binom{10}{0}0.44^{0}(1-0.44)^{12-0}+\binom{10}{1}0.44^{1}(1-0.44)^{10-1}+\binom{10}{2}0.44^{2}(1-0.44)^{10-2}

                       =1 \times 1 \times 0.0030 + 10 \times 0.44 \times 0.0054 + 45 \times 0.1936 \times 0.009672

                       =0.0030+0.0238+0.0843

                       =0.1111

Therefore, the probability that fewer than 3 of them is 0.1111

7 0
3 years ago
Simplify without parentheses <br> (4v-3w)^2<br><br> Explain.
Lilit [14]
(4v-3w)∧2, Its to the second power so take the exponent 2 and put it on the variables and coefficients so you would have (4∧2)(v∧2)-(3∧2)(w∧2). Then you would do the math and get 16v∧2-9w∧2 than you would add the like terms so you have 25v∧2w∧2.
5 0
3 years ago
Read 2 more answers
A motorist took 1.2 hour to travel 96 km how far will he travel in 1 hour
miskamm [114]

Answer:

80km

Step-by-step explanation:

To solve this problem, we need to cross multiply. Lets input the values (1.2, 1.0, 96) as shown below:

\frac{1.2}{96} = \frac{1.0}{x}

Next we cross multiply. We multiply 1.2 and x, and we multiply 96 and 1.0.

1.2(x) = 1.2x

96 x 1.0 = 96

Now, lets put the values above back into the equation:

1.2x = 96

Lets solve this equation. First we divide 96 by 1.2.

1. x = \frac{96}{1.2}

2. x = 80

This means that our answer is 80km.

4 0
3 years ago
Which value of HNK are used to write the function f(x) = x2 + 12x + 6 in vertex form?
anygoal [31]

Answer:

( − 6 , − 30 )

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex  ( h , k ) .

6 0
3 years ago
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