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navik [9.2K]
4 years ago
8

Solve this inequality D/-3 < (underlined) -6

Mathematics
1 answer:
lozanna [386]4 years ago
4 0
\frac{d}{-3} \leq -6 \\ \\ - \frac{d}{3} \leq -6 \\ \\ -d \leq -6 \times 3 \\ \\ -d \leq -18 \\ \\ d \geq 18 \\ \\

The final result is: d ≥ 18.
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Twelve percent of U.S. residents are in their forties. Consider a group of nine U.S. residents selected at random. Find the prob
miskamm [114]

Answer:

The probability is 28 % ( approx )

Step-by-step explanation:

Since, there are only two possible outcomes in every trails ( residents are in their forties or not ),

So, this is a binomial distribution,

Binomial distribution formula,

Probability of success in x trials,

P(x)=^nC_x p^x q^{n-x}

Where, ^nC_x=\frac{n!}{x!(n-x)!}

p and q are probability of success and failure respectively and n is the total number of trials.

Let X be the event of resident who are in his or her forties.

Here, p = 12% = 0.12,

⇒ q = 1 - p = 1 - 0.12 = 0.88,

n = 9,

Hence, the probability that two or three of the people in the group are in their forties = P(X=2) + P(X=3)

^9C_2 (0.12)^2 (0.88)^{9-2}+^9C_3 (0.12)^3 (0.88)^{9-3}

=36(0.12)^2 (0.88)^7+84(0.12)^3 (0.88)^6

=0.279266611163

\approx 0.28

=28\%

7 0
3 years ago
Good x sold for $40 in 1945. the Cpi in 1945 was 18.0 and the cpi in 1999 was 166.6. what was the price of good x in 1999 dollar
andrey2020 [161]

Answer:

the price of good x in 1999 dollars is 370.89 dollars

Step-by-step explanation:

Given that good x sold for $40 in 1945. the Cpi in 1945 was 18.0 and the cpi in 1999 was 166.6.

We have cpi and sale price have direct variation

In other words S = kC where C = CPi and S = sales price

In 1945, 40 = 18k or K = 20/9

Using this we can say

Sales price in 1999 would be k (166.6)

=\frac{20}{9} (166.6)\\= 370.89

the price of good x in 1999 dollars is 370.89 dollars

5 0
4 years ago
renee saves 30% of every paycheck. his paycheck last week was $560 . how much did renee save last week
IRISSAK [1]
30% of 560.....turn percent to decimal..." of " means multiply
0.30(560) = 168..so last week, Renee saved $ 168
7 0
4 years ago
WILL MARK BRAINLIEST! Solve for x and y in the figure below. Thank you!
il63 [147K]

Answer:

x=64

y=40

Step-by-step explanation:

2x+x-12=180

3x=192

x=64

3y+y+20=180

4y=160

y=40

7 0
3 years ago
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Tema [17]

Answer:

Step-by-step explanation:

69

4 0
3 years ago
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