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Vedmedyk [2.9K]

3 years ago

14

Combine like terms and simplify the expression: 3x + 8 + 8x

2 answers:

ycow [4]3 years ago

6 0

Answer:

8+11x

Step-by-step explanation:

Combine like terms:

(3x)+(8x) = 11x

8 + 11x =

8+11x

jek_recluse [69]3 years ago

5 0

The answer is 11x+8x

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List down all the values of k<br>if; - 4≤ k ≤ 1

vekshin1

Answer:

All the values of k are -4, -3, -2, -1, 0 , 1

Step-by-step explanation:

Given;

- 4≤ k ≤ 1

The range of value of k is between -4 and 1.

These values are listed as follows;

k = -4, -3, -2, -1, 0 , 1

Therefore, all the values of k are -4, -3, -2, -1, 0 , 1

6 0

3 years ago

Use the hundreds try to find a mystery number The number has 2 even digits the number in the tens place is greater than the numb

AlladinOne [14]

Answer:

84

Step-by-step explanation:

2 even numbers and its sum is 12: 4, 8 and 6, 6

tenth place > ones place 84

8 0

3 years ago

Read 2 more answers

Find the midpoint of if A(-3, 8) andB(-7, -6).

Mama L [17]

Answer:

(-5,1)

Step-by-step explanation:

8 0

3 years ago

The Slow Ball Challenge or The Fast Ball Challenge.

cupoosta [38]

Answer:

Fast ball challenge

Step-by-step explanation:

Given

Slow Ball Challenge

$Pitches = 7$

$P(Hit) = 80\%$

$Win = \$60$

$Lost = \$10$

Fast Ball Challenge

$Pitches = 3$

$P(Hit) = 70\%$

$Win = \$60$

$Lost = \$10$

Required

Which should he choose?

To do this, we simply calculate the expected earnings of both.

Considering the slow ball challenge

First, we calculate the binomial probability that he hits all 7 pitches

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

Where

$n = 7$ --- pitches

$x = 7$ --- all hits

$p = 80\% = 0.80$ --- probability of hit

So, we have:

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

$P(7) =^7C_7 * 0.80^7 * (1 - 0.80)^{7 - 7}$

$P(7) =1 * 0.80^7 * (1 - 0.80)^0$

$P(7) =1 * 0.80^7 * 0.20^0$

Using a calculator:

$P(7) =0.2097152$ --- This is the probability that he wins

i.e.

$P(Win) =0.2097152$

The probability that he lose is:

$P(Lose) = 1 - P(Win)$ ---- Complement rule

$P(Lose) = 1 -0.2097152$

$P(Lose) = 0.7902848$

The expected value is then calculated as:

$Expected = P(Win) * Win + P(Lose) * Lose$

$Expected = 0.2097152 * \$60 + 0.7902848 * \$10$

Using a calculator, we have:

$Expected = \$20.48576$

Considering the fast ball challenge

First, we calculate the binomial probability that he hits all 3 pitches

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

Where

$n = 3$ --- pitches

$x = 3$ --- all hits

$p = 70\% = 0.70$ --- probability of hit

So, we have:

$P(3) =^3C_3 * 0.70^3 * (1 - 0.70)^{3 - 3}$

$P(3) =1 * 0.70^3 * (1 - 0.70)^0$

$P(3) =1 * 0.70^3 * 0.30^0$

Using a calculator:

$P(3) =0.343$ --- This is the probability that he wins

i.e.

$P(Win) =0.343$

The probability that he lose is:

$P(Lose) = 1 - P(Win)$ ---- Complement rule

$P(Lose) = 1 - 0.343$

$P(Lose) = 0.657$

The expected value is then calculated as:

$Expected = P(Win) * Win + P(Lose) * Lose$

$Expected = 0.343 * \$60 + 0.657 * \$10$

Using a calculator, we have:

$Expected = \$27.15$

So, we have:

$Expected = \$20.48576$ -- Slow ball

$Expected = \$27.15$ --- Fast ball

<em>The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.</em>

5 0

3 years ago

According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who w

svlad2 [7]

Answer:

The year is $b = 1995$

Step-by-step explanation:

From the question we are told that

The percentage of the number of babies born out of wedlock in 1990 is k = 28%

The percentage by which the number increase per year is i = 0.6%

The percentage of of the number of babies born out of wedlock considered is a = 31%

Generally the difference in between the percentage in 1990 and the percentage considered is

$d = a - k$

=> $d = 31 - 28$

=> $d = 3\%$

Generally the number of year require for the percentage to be equal to 31% is mathematically represented as

$n = \frac{3\%}{0.6\%}$

=> $n = 5\ years$

Generally the year which the considered percentage will be attained is

$b = 1990 + n$

=> $b = 1990 + 5$

=> $b = 1995$

6 0

3 years ago