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Semmy [17]
3 years ago
12

Which of the following points is a solution of y > |x| + 5? A) (1,7) B) (0,5) C) (7,1)

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

Answer:

A

Step-by-step explanation:

We can plug in all of the x and y values to check if the point is a solution to the inequality.

Point A: x = 1, y = 7

7 > |1| + 5

7 > 1 + 5

7 > 6

This is a true statement, which means that this point is a solution to the inequality. We don't have to check any more points since we have found our answer.

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Which ordered pair is a reflection of (3, 7) across the x-axis?
Rina8888 [55]
(3,7) becomes (3,-7) when reflected across the x axis.
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4 years ago
A rocky planet orbits Proxima Centauri, a star that is about 1.3 parsecs from Earth. This planet is the closest planet outside o
Alja [10]

Answer:

A light beam from Proxima Centauri, the closest star to the Sun, requires about 4.2 years to reach Earth. Proxima Centauri is about 262,000 times farther away from us than the Sun.

Step-by-step explanation:

7 0
1 year ago
A consumer survey indicates that the average household spendsμ= $185on groceries each week. The distribution of spending amounts
Vitek1552 [10]

Answer:

P(X>200)=P(\frac{X-\mu}{\sigma}>\frac{200-\mu}{\sigma})=P(Z>\frac{200-185}{25})=P(Z>0.6)

And we can find this probability using the complement rule and with the normal standard table or excel:

P(Z>0.6)=1-P(z

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the average household spent of a population, and for this case we know the distribution for X is given by:

X \sim N(185,25)  

Where \mu=185 and \sigma=25

We are interested on this probability

P(X>200)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>200)=P(\frac{X-\mu}{\sigma}>\frac{200-\mu}{\sigma})=P(Z>\frac{200-185}{25})=P(Z>0.6)

And we can find this probability using the complement rule and with the normal standard table or excel:

P(Z>0.6)=1-P(z

7 0
3 years ago
Help me please mathematics
DanielleElmas [232]

Answer:

C. 253.5

Step-by-step explanation:

A=6a^{2}

a = Edge

A = 6*6.5^{2}

A = 253.5

4 0
3 years ago
The fastest a human has ever run is 27 miles per hour. how many miles per minute did the human run
fenix001 [56]
1 hour = 60 minutes
27/60=0.45
Ans: 0.45 mi/min
7 0
4 years ago
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