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gulaghasi [49]
3 years ago
6

How many solutions does the linear system 3×+5y=8 and 3×+5y=1have ​

Mathematics
1 answer:
MrRa [10]3 years ago
3 0

Answer:

No solution

Step-by-step explanation:

When put in a graphing calculator, the lines are parallel and will never intersect, therefore there is no solution.

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The difference when 7 less than a number is subtracted from twice the number is 12. What is the number?
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2n-(n-7)=12
n+7=12
12-7=5
n=5
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I'm doing systems of linear equations and need more help​
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How many 1/2 are there in 7 1/2 ?
My name is Ann [436]

Answer:

There are 15 halves in 7 1/2.

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3 years ago
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A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 70
TEA [102]

Answer:

She needs to sample 189 trees.

Step-by-step explanation:

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.

That 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.

The standard deviation of the population is 70 peaches per tree.

This means that \sigma = 70

How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?

She needs to sample n trees.

n is found when M = 10. So

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

10 = 1.96\frac{70}{\sqrt{n}}

10\sqrt{n} = 1.96*70

Dividing both sides by 10:

\sqrt{n} = 1.96*7

(\sqrt{n})^2 = (1.96*7)^2

n = 188.2

Rounding up:

She needs to sample 189 trees.

3 0
3 years ago
Kayla bought a car that's price was reduced by 34%. The original price for the car was $16,000. How much did she spend on the ca
aliya0001 [1]

The price was reduced by 34%, so she paid 100-34 = 66% of the original price.

16,000 x 0.66 = 10,560

She paid $10,560

8 0
3 years ago
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