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malfutka [58]
3 years ago
6

X - 4y = 28 2x + y =2

Mathematics
1 answer:
Tresset [83]3 years ago
7 0
X - 4y = 28
2x + y = 2

solve for x
y= -2x + 2
y= x/4 - 7

solve for system of equations
(4,-6)
x= 4, y= -6
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A grocery store sells a bag of 7 oranges for $2.10. If Evan spent $2.40 on oranges, how many did he buy?
Alex Ar [27]

Answer:

8 oranges

Step-by-step explanation:

2.10/7=0.3

0.3*8=2.40

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Find the probability of drawing a heart from the standard deck of cards and then drawing a 5 from any suit after the first card
Vinil7 [7]

The probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52

<h3>How to determine the probability?</h3>

In a standard deck of cards, we have:

Total = 52

Heart = 13

5's = 4

Since the cards are replaced, the probability is calculated as:

P(Heart and 5) = Heart/Total * 5s/Total

This gives

P(Heart and 5) = 13/52* 4/52

Evaluate

P(Heart and 5) = 1/52

Hence, the probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52

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2 years ago
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3 years ago
A new car is purchased for 20800 dollars. the value of the car depreciates at 10.75% per year. What will the value of the car be
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7 0
3 years ago
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An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California.
pishuonlain [190]

Answer:

The 80% confidence interval for the mean per capita income in thousands of dollars is between $21.3 and $21.9.

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{1-0.8}{2} = 0.1

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 1-0.1 = 0.9, so z = 1.28

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 = 1.28*\frac{12.5}{\sqrt{3839}} = 0.3

The lower end of the interval is the sample mean subtracted by M. So it is 21.6 - 0.3 = $21.3.

The upper end of the interval is the sample mean added to M. So it is 21.6 + 0.3 = $21.9.

The 80% confidence interval for the mean per capita income in thousands of dollars is between $21.3 and $21.9.

7 0
3 years ago
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