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ratelena [41]
3 years ago
13

Simplify and write answer in standard form.

Mathematics
1 answer:
mamaluj [8]3 years ago
6 0

Answer:

x^3+8x^2+2x+1

Step-by-step explanation:

Combine like terms (terms with the same exponent).

x^3+(3x^2+5x^2)+(x+x)+1=x^3+8x^2+2x+1

"Standard form" means to list terms so the exponents go from high to low (descending order).

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A bottle contains 3.5 liters of water. A second bottle contains 3,750 milliliter soft water. How many more millimeters are in th
Lelechka [254]
250 ml more

3,750-3500=250
8 0
3 years ago
assume that when adults with smartphones are randomly selected 15 use them in meetings or classes if 15 adult smartphones are ra
Tanzania [10]

Answer:

The probability that at least 4 of them use their smartphones is 0.1773.

Step-by-step explanation:

We are given that when adults with smartphones are randomly selected 15% use them in meetings or classes.

Also, 15 adult smartphones are randomly selected.

Let X = <em>Number of adults who use their smartphones</em>

The above situation can be represented through the binomial distribution;

P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; n = 0,1,2,3,.......

where, n = number of trials (samples) taken = 15 adult smartphones

           r = number of success = at least 4

           p = probability of success which in our question is the % of adults

                 who use them in meetings or classes, i.e. 15%.

So, X ~ Binom(n = 15, p = 0.15)

Now, the probability that at least 4 of them use their smartphones is given by = P(X \geq 4)

P(X \geq 4) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3)

= 1- \binom{15}{0}\times 0.15^{0} \times (1-0.15)^{15-0}-\binom{15}{1}\times 0.15^{1} \times (1-0.15)^{15-1}-\binom{15}{2}\times 0.15^{2} \times (1-0.15)^{15-2}-\binom{15}{3}\times 0.15^{3} \times (1-0.15)^{15-3}

= 1- (1\times 1\times 0.85^{15})-(15\times 0.15^{1} \times 0.85^{14})-(105 \times 0.15^{2} \times 0.85^{13})-(455 \times 0.15^{3} \times 0.85^{12})

= <u>0.1773</u>

3 0
3 years ago
In these number grids, two numbers are added to give the number below.
lilavasa [31]

Answer:

11, 15, 20

Step-by-step explanation:

there \: would \: be \: 11 \: between \: 4 \: and \: 9 \\ 4 + 11 = 15 \\ 11 + 9 = 20 \\ 20 + 15 = 35 \\  \: please \: rate \: brainliest

5 0
2 years ago
Read 2 more answers
Which data type is variable 'a' as per below code?(numeric/non-numeric) Dim a as integer a=10 for grade 7 Computer
Lorico [155]

Answer:

The answer is "numeric".

Step-by-step explanation:

The Dim keyword is used in Visual Basic which is used to establish the dependent variable and other information such as the code that the variable may access the variables, computer utilizes the statement Dim. The dimensions are brief and then used to define variables. The Dim statement is placed just after sub definition only at the start of a VBA module (short for Subroutine).The variable to hold an integer value is seen in the above example.

8 0
3 years ago
How many solutions does these equations have? One, infinite or no solutions?
s2008m [1.1K]

Answer:

  • 1. 7(y + 3) = 5y+8: <u>one solution</u>

  • 2. 10 + 6x= 2(5+3x): <u>infinite solutions</u>

  • 3. 3x + 5 - x=2x + 7: <u>no solutions</u>

  • 4. 4x - 4 = 2x + 8: <u>one solution.</u>

Explanation:

<u>1. 7(y+3)=5y+8</u>

<u></u>

a)  Distributive property of multiplication over addtion:

  • 7y + 21 = 5y + 8

b) Subtraction property of equalities:

  • 7y - 5y = 8 - 21

c) Combine like terms:

  • 2y = - 13

d) Division property of division:

  • y = - 13/2

e) Conclusion: the equation has one solution.

<u>2. 10 + 6x = 2(5+3x)</u>

a) Distributive property of multiplication over addition:

  • 10 + 6x = 10 + 6x

b) Subtraction property of equality:

  • 6x - 6x = 10 - 10

c) Simplify (combine like terms)

  • 0 = 0

That is an identity, i.e. that is always true, no matter the value of x.

d) Conclusion: the equation has infinite solutions.

<u>3. 3x + 5 - x = 2x + 7</u>

a) Combine like terms:

  • 2x + 5 = 2x + 7

b) Subtraction property of equalities:

  • 2x - 2x = 7 - 5

c) Combine like terms (simplify)

  • 0 = 2

That is always false, no matter the values of x.

d) Conclusion: the equation does not have any solutions.

<u>4. 4x - 4 = 2x + 8</u>

<u></u>

a) Subtraction property of equality

  • 4x - 2x - 4 = 2x - 2x + 8

b) Combine like terms

  • 2x - 4 = 8

c) Addtiion property of equalities:

  • 2x = 8 + 4

d) Combine like terms (simplify)

  • 2x = 12

e) Division property of equalities:

  • x = 6

f) Conclusion: the equation has one solution

5 0
3 years ago
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