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Delvig [45]
3 years ago
11

Solve the following inequality. -8<3x + 1 <7

Mathematics
1 answer:
lakkis [162]3 years ago
8 0

Answer: -3 < x < 2

Step-by-step explantion

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The mean weight of trucks traveling on a particular section of I-475 is not known. A state highway inspector needs an estimate o
kaheart [24]

Answer:

The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.

Step-by-step explanation:

We have the population's standard deviation, so we can find the normal confidence interval.

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{3.8}{\sqrt{49}} = 1.064

The lower end of the interval is the sample mean subtracted by M. So it is 15.8 - 1.064 = 14.736 tons

The upper end of the interval is the sample mean added to M. So it is 15.8 + 1.064 = 16.864 tons

The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.

4 0
3 years ago
Kailey writes 40 words per minute. How many words does she write in<br> 3.5 minutes?
r-ruslan [8.4K]

Answer:

140

Step-by-step explanation:

3.5×40=140

.........................

8 0
3 years ago
Read 2 more answers
When filling out the 2000 Census, people could choose one of four options to describe their marital status. Data from the 2000 C
galben [10]

Answer:

0.098

Step-by-step explanation:

Given that when filling out the 2000 Census, people could choose one of four options to describe their marital status.

Data from the 2000 Census were used to compute the following probabilities

Marital status Never married Married widowed Divorced total

Prob           0.239          0.595      0.068     0.098 1

Actually we were not given probability for divorced but using total probability =1 we arrived at the probability for divorced as

1-sum of the remaining probabilities

=1-0.239-0.535-0.068\\=0.098

the probability that a randomly selected U.S. adult is divorced

= 0.098

4 0
3 years ago
What is the meaning of the unknown factor and quotient? <br> 24 divided into 4=___<br> 4x___=24
Alborosie
Your answer will be 6. The reason it is six is that 24/6 = 4 and 4 X 6=24.
7 0
4 years ago
A package of twelve cans of black beans cost $6.84. What is the cost of 5 can of black
elena-s [515]

Answer:

$2.85

Step-by-step explanation:

3 0
3 years ago
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