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Vedmedyk [2.9K]
3 years ago
12

6n+7-2n-14=5n+1 asap pls

Mathematics
1 answer:
polet [3.4K]3 years ago
8 0
First, combine like terms to get 4n-7=5n+1

add 7 to both sides to get 4n=5n+8

subtract 5n from both sides to get -n=8

multiply both sides by -1 to get an answer of n=-8
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Michaela walked 2/5 mile to the store in 1/4 hour. What is her walking pace?
rusak2 [61]
Her walking pace is:
\frac{8}{5}

Solution

\frac{2}{5}  \div  \frac{1}{4 }  \\  \frac{2}{5}  \times  \frac{4}{1}  =  \frac{8}{5}
8 0
4 years ago
Read 2 more answers
In the bin there is a 45% chance of randomly selecting ripe avocados. If you are picking avocados from the bin, you keep inspect
Archy [21]

Answer:

0.6125

Step-by-step explanation:

We have,

P(ripe avocados) = 0.45 , n = 5

by binomial distribution,

P(x=k) = ${\overset{n}C}_k P^k(1-P)^{n-k}$

P(2 ≤ x ≤ 3) = P(x=2) + P(x=3)

P(x=2) = ${\overset{5}C}_2(0.45)^2(0.55)^3$

           = 10 x (0.45)² x (0.55)³

           = 0.3369

P(x=3) = ${\overset{5}C}_3(0.45)^3(0.55)^2$

           = 10 x (0.45)³ x (0.55)²

           = 0.2756

So, P(2 ≤ x ≤ 3 ) = 0.3369 + 0.2756

                          = 0.6125

7 0
3 years ago
What are the lengths of the other two sides of the
damaskus [11]

Answer:

D) AC = 5 and BC = 53

Step-by-step explanation:

6 0
3 years ago
Molecules of a toxic chemical eventually decompose into inert substances. Suppose the decomposition time is exponentially distri
koban [17]

Answer:

a) 4.16 years

b) 27.73 years

c) 238.44 years

d) 3,870.53 years

Step-by-step explanation:

Let X be the random variable that measures the decomposition time.

a)

\bf \lambda =6

In this case, since the decomposition time is exponentially distributed with a mean of 1/6, we have

\bf P(X\leq t)=1-e^{-t/6}\Rightarrow P(X>t)=1-(1-e^{-t/6})=e^{-t/6}

and we must find a t such that P(x>t)=0.5.

\bf P(X>t)=0.5\Rightarrow e^{-t/6}=0.5\Rightarrow -t/6=ln(0.5)\Rightarrow t=-6ln(0.5)=4.16\;years

b)

\bf \lambda =40

\bf P(X>t)=0.5\Rightarrow e^{-t/40}=0.5\Rightarrow -t/40=ln(0.5)\Rightarrow t=-40ln(0.5)=27.73\;years

c)

\bf \lambda =344

\bf P(X>t)=0.5\Rightarrow e^{-t/344}=0.5\Rightarrow -t/344=ln(0.5)\Rightarrow t=-344ln(0.5)=238.44\;years

d)

\bf \lambda =5584

\bf P(X>t)=0.5\Rightarrow e^{-t/5584}=0.5\Rightarrow -t/5584=ln(0.5)\Rightarrow t=-5584ln(0.5)=3870.53\;years

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3 years ago
Story Problem
LenKa [72]
14.95 would be the answer
3 0
3 years ago
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