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Butoxors [25]
3 years ago
9

Please help. 10 points and brainliest.

Mathematics
1 answer:
Elodia [21]3 years ago
8 0
<h3>Answer: Choice A</h3>

\begin{cases} y \le x+5 \\ y < -x+1\end{cases}

Explanation:

The solid boundary line is the equation y = x+5. The idea is to pick two points on the line and then use them to find the slope. So let's use (-5,0) and (0,5). The slope is...

m = (y2-y1)/(x2-x1)

m = (5-0)/(0-(-5))

m = (5-0)/(0+5)

m = 5/5

m = 1

With the slope m = 1and the point (x1,y1) = (-5,0), we then use the point slope formula

y-y1 = m(x-x1)

y-0 = 1(x-(-5))

y = x+5

The same kind of steps will be used for the dashed line as well.

We see that the shaded region is below the solid boundary line y = x+5. So we will use a less than or equal sign here to indicate to shade below and have the boundary be solid.

The dashed line's equation is y = -x+1, and we also shade below it. So we use a less than sign. We don't use "or equal to" because the dashed line tells the reader "points on this dashed line do not count as solutions".

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The proportions of blood phenotypes, A, B, AB, and O, in the population of all Caucasians in the United States are approximately
Vanyuwa [196]

Answer:

a. S = {A,B,AB,O}

b. P(A) = 0.41, P(B) = 0.1, P(AB) = 0.04, P(O) = 0.45

c. 0.45 = 45% probability that the person chosen at random has either type A or type AB blood

Step-by-step explanation:

a List the sample space for this experiment.

All possible blood types(A, B, AB or O). So

S = {A,B,AB,O}

b Make use of the information given above to assign probabilities to each of the simple events.

The proportions of blood phenotypes, A, B, AB, and O, in the population of all Caucasians in the United States are approximately .41, .10, .04, and .45, respectively.

So

P(A) = 0.41, P(B) = 0.1, P(AB) = 0.04, P(O) = 0.45

c What is the probability that the person chosen at random has either type A or type AB blood

P(A) + P(AB) = 0.41 + 0.04 = 0.45

0.45 = 45% probability that the person chosen at random has either type A or type AB blood

6 0
2 years ago
Alex is saving money because she would like to purchase the new video gaming system that everyone has been talking about. After
ivanzaharov [21]


two weeks = 47     47/2 = 23.5 every week

24 weeks = 430    430/24= about 17.9 every week

She save from about $17.9 to $23.5

(not sure I did it right. Hope I helped :))


7 0
3 years ago
Read 2 more answers
Solve this with your work shown. (50 POINTS.)​
Ket [755]

top problems:

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7 0
3 years ago
Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4
Julli [10]

Answer:

(m + 2)^{2} - m^{2}  - 12 = 4(m - 2)

Step-by-step explanation:

Step 1:

Write the expression

(m+2)^{2} - m^{2}  - 12

Step 2: Expand (m + 2)^{2}

(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2}  - 12\\m^{2} + 2m + 2m + 4 - m^{2}  - 12

Step 3: Collect similar terms

m^{2}  - m^{2}  + 4m + 4 - 12\\4m - 8

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2}  - m^{2} -  12 is a multiply of 4 because the expression is equal to 4(m-2)

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3 years ago
If line d intersects plane F, then how many points on line d also lie on plane F?
Fittoniya [83]
The answer would be 
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hope this helps!
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