Which step would successfully eliminate y from the system below?

Johan can get lunch at Joe’s Deli for $12, and he can get lunch at Majestic for $8. In one month, Johan spent $96 on lunches (an

Triss [41]

Answer: D

Step-by-step explanation:

It’s really obvious just circle D

4 0

1 year ago

The angle of the semicircle is: a) 120 c) 180 b)60 d)90

AlexFokin [52]

Since there is no semicircle, the angle is 0.

8 0

3 years ago

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The intercepts of the circle (x-1)^2 + (y-2)^2 = 10 are ?

IRISSAK [1]

y-intercept: Let x = 0 and solve for y:

(x-1)^2 + (y-2)^2 = 10 => (-1)^2 + y^2 - 4y + 4) = 10

=> 1 + y^2 - 4y + 4 = 10, or y^2 - 4y -5 = 0

The solutions of this quadratic are y = 5 and y = -1.

Thus, the y-intercepts are (0, 5) and (0, -1).

Now find the x-intercepts: Let y = 0 and solve the resulting equation for x:

(x-1)^2 = 10 - (-2)^2, or (x-1)^2 = 10 - 4 = 6.

Taking the sqrt of both sides, x - 1 = plus or minus sqrt(6), or:

x = 1 +√6 and x = 1 - √6, so that the x-intercepts

are (1+√6, 0) and (1-√6, 0).

8 0

3 years ago

Suppose the number of inches of rainfall each year in a city is normally distributed. For a random sample of years, the confiden

quester [9]

Answer:

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Or equivalently:

$\bar X \pm ME$

For this case we have the interval given (3.9, 7.7) and we want to find the margin of error. Using the property of symmetry for a confidence interval we can estimate the margin of error with this formula:

$ME= \frac{Upper -Lower}{2}= \frac{7.7-3.9}{2}= 1.9$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Or equivalently:

$\bar X \pm ME$

For this case we have the interval given (3.9, 7.7) and we want to find the margin of error. Using the property of symmetry for a confidence interval we can estimate the margin of error with this formula:

$ME= \frac{Upper -Lower}{2}= \frac{7.7-3.9}{2}= 1.9$

4 0

3 years ago

What is the solution to this inequality? -4X > 500

harina [27]

Answer:

x < - 125

Step-by-step explanation:

- 4x > 500

- 4x/ (- 4) < 500/(- 4)

x < - 125

7 0

2 years ago

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