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3 years ago

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Which statement is true regarding the diagram of circle P? The sum of y and z must be 2x. The sum of y and z must be One-halfx.

The difference of z and y must be 2x. The difference of z and y must be One-halfx.

1 answer:

Klio2033 [76]3 years ago

5 0

Answer:

The difference of z and y must be 2x.

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8 multiplied by 4 multiplied by 2 whole over 8 multiplied by 7, the whole raised to the power of 2 multiplied by 8 to the power

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I think the answer is 8.7332602....I hope I helped!

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3 years ago

An exceptionally bright high school student has applied for two scholarships: a merit scholarship and an athletic scholarship. H

9966 [12]

Answer:

a) 0.70

b) 0.82

Step-by-step explanation:

a)

Let M be the event that student get merit scholarship and A be the event that student get athletic scholarship.

P(M)=0.3

P(A)=0.6

P(M∩A)=0.08

P(not getting merit scholarships)=P(M')=?

P(not getting merit scholarships)=1-P(M)

P(not getting merit scholarships)=1-0.3

P(not getting merit scholarships)=0.7

The probability that student not get the merit scholarship is 70%.

b)

P(getting at least one of two scholarships)=P(M or A)=P(M∪A)

P(getting at least one of two scholarships)=P(M)+P(A)-P(M∩A)

P(getting at least one of two scholarships)=0.3+0.6-0.08

P(getting at least one of two scholarships)=0.9-0.08

P(getting at least one of two scholarships)=0.82

The probability that student gets at least one of two scholarships is 82%.

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3 years ago

If a number is an element of the set of real

kvasek [131]

Answer:

Option (A)

Step-by-step explanation:

A set of real numbers is a combination of both rational and irrational numbers.

But the elements in the sets of rational and irrational numbers will be different.

In short, rational and irrational number sets are the two subsets of real numbers.

Hence, the number is an element of either the set of rational numbers or the set of irrational numbers.

Option (A) is the correct option.

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3 years ago

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:y >

pantera1 [17]

Answer:

Part A: The graph of given inequality is shown below.

Part B: The point (4,6) is not a solution of given system of inequalities.

Step-by-step explanation:

Part A:

The given inequalities are

$y>2x+3$

$y$

The related equation of given inequalities are

$y=2x+3$

$y=-\frac{3}{2}x-4$

Put x=0, to find the y-intercepts.

$y=2(0)+3=3$

$y=-\frac{3}{2}(0)-4=-4$

Put y=0, to find the x-intercepts.

$0=2x+3\Rightarrow x=-\frac{3}{2}$

$0=-\frac{3}{2}x-4\Rightarrow x=-\frac{8}{3}$

The x and y-intercepts of first line are (0,3) and (-1.5,0) respectively. The x and y-intercepts of second line are (0,-4) and (-2.667,0) respectively.

Check the given inequality by (0,0).

$0>2(0)+3$

$0>3$

This statement is false. It means (0,0) is not the solution of this inequality and the shaded region is opposite side of the origin.

$0$

$0$

This statement is false. It means (0,0) is not the solution of this inequality and the shaded region is opposite side of the origin.

The graph of given inequalities is shown below.

Part B:

We have to check whether (4,6) is a solution of the system of inequality or not.

Check the given inequality for the point (4,6).

$(6)>2(4)+3$

$6>11$

This statement is false. It means (4,6) is not the solution of given system of inequalities.

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Step-by-step explanation:

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