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3 years ago

How do you solve?3(t+4)-2(2t+3)=-4

Mathematics

2 answers:

shepuryov [24]3 years ago

8 0

3t+12-4t-6=-4
-t=-4+6-12
-t=-10
t=10
That's your answer.

Gnoma [55]3 years ago

8 0

3(t+4) - 2(2t+3) = -4
3t + 12 - 4t -12 = -4 ~step1: distribute both parenthesis
-t = -4 ~step2: combine like terms (the 12s cancel each other)
t=4 ~step3: multiply each side by "-1" to rid of the - sign

hope this helped ! c:

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Greeley [361]

Answer:

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Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 0.02 g/mi

Standard Deviation, σ = 0.01 g/mi

Sample size, n = 81

We are given that the distribution of level of nitrogen oxides is a bell shaped distribution that is a normal distribution.

Standard error due to sampling:

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.01}{\sqrt{81}} = 0.0011$

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.01

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$P( X > x) = P( z > \displaystyle\frac{x - 0.02}{0.0011})=0.01$

$= 1 -P( z \leq \displaystyle\frac{x - 0.02}{0.0011})=0.01$

$=P( z \leq \displaystyle\frac{x - 0.02}{0.0011})=0.99$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 0.02}{0.0011} = -2.326\\\\x = 0.0174$

For a level of 0.0174 or more of nitrogen oxide, the probability of fleet is 0.01.

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2 years ago

A runner runs 8 miles in 92 minutes. What is the runners unit rate?

KiRa [710]

For this case, what we must do is calculate the speed of the runner.

We have then that the speed is given by:

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Where,

d: distance

t: time

Substituting values we have:

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Answer:

the runners unit rate is:

$V = 0.09 \frac{miles}{minutes}$

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3 years ago

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Answer:

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Then the desired sum is ...

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