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DedPeter [7]
3 years ago
6

Which number line shows the solution to the inequality -2(3x-1)<8

Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0

Answer:

x  > -1

Step-by-step explanation:

Given

-2(3x - 1) < 8

Required

Show on a number line

-2(3x - 1) < 8

Divide through by -2

\frac{-2(3x - 1)}{-2} < \frac{8}{-2}

3x - 1 > -4

Add 1 to both sides

3x -1 + 1 > -4 + 1

3x > -3

Divide through by 3

x  > -1

<em>See Attachment for number line</em>

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Which equation represents the approximate line of best fit for data, where x represents font size and y represents the number of
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5 0
3 years ago
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Find the missing side length of m.
zysi [14]

Answer:

m=4

Step-by-step explanation:

Since we know that quadrilateral ABCD is similar to QRST, we know that the side lengths will be proportional to one another. As such, we should take a ratio to determine the side length of m.

\frac{ST}{CD}=\frac{RS}{BC}\\\\\frac{6}{15} =\frac{m}{10}\\

\frac{6*10}{15} =m\\m=60/15=4

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3 years ago
Suppose that the length of a phone call in minutes is an exponential random variable with parameter λ = 1/ 8. If someone arrives
Elis [28]

Answer:

a) P=0.535

b) P=0.204

c) P=0.286

Step-by-step explanation:

The exponential distribution is expressed as

F(x>t)=e^{-\lambda t}

In this example, λ=1/8=0.125 min⁻¹.

a) The probability of having to wait more than 5 minutes

F(x>5)=e^{-0.125*5}=e^{-0.625}=0.535

b) The probability of having to wait between 10 and 20 minutes

F(1020)=e^{-0.125*10}-e^{-0.125*20}\\\\F(10

c) The exponential distribution is memory-less, so it is independent of past events.

If you have waited 5 minutes, the probability of waiting more than 15 minutes in total is the same as the probability of waiting 15-5=10 minutes.

F(x>15|t^*=5)=F(x>15)/F(x>5)=\frac{e^{-0.125*15}}{e^{-0.125*5}}=e^{-0.125*(15-5)}\\\\ F(x>15|t^*=5)=e^{-0.125*(10)}=F(x>10)=0.286

5 0
3 years ago
13 is 29% of what number?
Zielflug [23.3K]

13/23% = 1300/23 (56.52)

<em>Therefore, 13 is 29% of 1300/23 (56.52)</em>

4 0
3 years ago
Kong took 15, percent fewer seconds than Nolan took to complete his multiplication timed test. Kong took 85
Evgen [1.6K]

Hello!


If Kong took a 85 second and we if Nolan took 15 slower then Nolan took a 72.25 second test. First you would find 14 percent of 85 then that is 12.75. Minus that from 85 and you get 72.25.


Hope It helps!

5 0
3 years ago
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