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nata0808 [166]
3 years ago
10

Seven less than a number is 14 more than 2 times that number. What is the number?

Mathematics
1 answer:
ratelena [41]3 years ago
4 0

Answer:

x=-21

Step-by-step explanation:

x-7=2x+14

-7=x+14

-21=x

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Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 22, 18, 1
BigorU [14]

Answer:

a:  Sample mean: 20, Sample standard deviation: 1.732

b:  19.13 <µ < 20.87

c:  18.84< µ < 21.16

d:  as the confidence level increases, the interval becomes wider

Step-by-step explanation:

a:  Sample mean is found by adding up all the individual values of the sample, then dividing by the total number of values in the sample.  

Sample standard deviation is the square root of the variance

See the first attached photo for the calculations of these values.

We need to create a 80% confidence interval for the population.  Since n < 30, we will use a t-value with degree of freedom of 7 (the degree of freedom is always one less than the sample size.  

Look for the column on the t-distribution chart that has "area in two tails" of 0.20 (80%), and row 7 (degree of freedom)

The t-value is 1.415

See the second attached photo for the construction of the confidence interval

We need to create a 90% confidence interval for the population.  Since n < 30, we will use a t-value with degree of freedom of 7 (the degree of freedom is always one less than the sample size.  

Look for the column on the t-distribution chart that has "area in two tails" of 0.10 (90%), and row 7 (degree of freedom)

The t-value is 1.895

See the third attached photo for the construction of the confidence interval

3 0
3 years ago
A group pre-orders 8 tickets for a sightseeing tour, even though they don't have the money to pay for them yet. Each ticket cost
katen-ka-za [31]
Answer: -$266

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7 0
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Estimate the amount of gas left in this cars gas tank with a fraction
Rufina [12.5K]
It looks a little less than 1/2 or 4/8, so probably 3/8 of the gas is left.
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hannahs exercise goal is to walk at least 6 1/2 miles this week. she has already walked 2 3/4 miles this week. write and solve a
Ne4ueva [31]

We want to write an inequality that tells how much Hannah should walk this week. The inequality will be:

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<h3>Finding the inequality:</h3>

We know that she already did walk 2 3/4 miles this week, and she wants to walk at least 6 1/2 miles.

So to reach that minimum, she needs to walk:

(6  1/2)mi - (2 + 3/4) mi = (3 + 3/4) mi

And she can walk that or more, so the inequality is:

x ≥ (3 + 3/4) mi

Where x represents how much she will walk this week.

If you want to learn more about inequalities, you can read:

brainly.com/question/11234618

6 0
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The bill at a restaurant came to $136.40 the patrons decide to leave a 15% tip what was the total tip including the bill
iogann1982 [59]
Answer: $156.86

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3 0
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