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lora16 [44]
3 years ago
8

On a final exam, each multiple-choice question is worth 4 points and each word problem is worth 8 points. Lorenzo needs at least

50 points on the final to earn a "B" in the class. Which inequality represents x, the number of correct multiple-choice questions, and y, the number of correct word problems, he needs to earn a "B"? 4x + 8y < 50 4x + 8y ≤ 50 4x + 8y  > 50 4x + 8y ≥ 50
Mathematics
2 answers:
loris [4]3 years ago
7 0
The answer is <span>4x + 8y ≥ 50 </span>
Rus_ich [418]3 years ago
4 0
<h3><u>Answer:</u></h3>

Hence, the inequality that will represent the marks he needs  is:

4x+8y≥50

<h3><u>Step-by-step explanation:</u></h3>

On a final exam, each multiple-choice question is worth 4 points and each word problem is worth 8 points.

Lorenzo needs at least 50 points on the final to earn a "B" in the class.

Let x be the number of correct multiple-choice questions, and y, the number of correct word problems.

Hence, the inequality that will represent the marks he needs  is:

4x+8y≥50

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A sock drawer contains eight navy blue socks and five black socks with no other socks. If you reach in the drawer and take two s
Rzqust [24]

Answer:

a. the probability of picking a navy sock and a black sock = P (A & B)

= (8/13 ) * (5/12) = 40/156 = 0.256

b. the probability of picking two navy or two black is

= 56/156 + 20/156 = 76/156 = 0.487

c. the probability of either 2 navy socks is picked or one black  & one navy socks.

= 40/156 + 56/156 = 96/156 = 0.615

Step-by-step explanation:

A sock drawer contains 8 navy blue socks and 5 black socks with no other socks.

If you reach in the drawer and take two socks without looking and without replacement, what is the probability that:  

Solution:

total socks = N = 8 + 5 + 0 = 13

a) you will pick a navy sock and a black sock?

Let A be the probability of picking a navy socks first.

Then P (A) = 8/13

without replacing the navy sock, will pick the black sock, total number of socks left is 12.

Let B be the probability of picking a black sock again.

 P (B) = 5/12.

Then, the probability of picking a navy sock and a black sock = P (A & B)

= (8/13 ) * (5/12) = 40/156 = 0.256

b) the colors of the two socks will match?

Let A be the probability of picking a navy socks first.

Then P (A) = 8/13

without replacing the navy sock, will pick another navy sock, total number of socks left is 12.

Let B be the probability of another navy sock again.

 P (B) = 7/12.

Then, the probability of picking 2 navy sock = P (A & B)

= (8/13 ) * (7/12) = 56/156 = 0.359

Let D be the probability of picking a black socks first.

Then P (D) = 5/13

without replacing the black sock, will pick another black sock, total number of socks left is 12.

Let E be the probability of another black sock again.

 P (E) = 4/12.

Then, the probability of picking 2 black sock = P (D & E)

= (5/13 ) * (4/12) = 5/39 = 0.128

Now, the probability of picking two navy or two black is

= 56/156 + 20/156 = 76/156 = 0.487

c) at least one navy sock will be selected?

this means, is either you pick one navy sock and one black or two navy socks.

so, if you will pick a navy sock and a black sock, the probability of picking a navy sock and a black sock = P (A & B)

= (8/13 ) * (5/12) = 40/156 = 0.256

also, if you will pick 2 navy sock, Then, the probability of picking 2 navy sock = P (A & B)

= (8/13 ) * (7/12) = 56/156 = 0.359

now either 2 navy socks is picked or one black  one navy socks.

= 40/156 + 56/156 = 96/156 = 0.615

4 0
2 years ago
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adoni [48]
<h3>Answer: 10^(1/2)</h3>

When we use an exponent of 1/2, it is the same as a square root. The more general rule is

\sqrt{x} = x^{1/2}

In this case, we plug in x = 10.

The use of a fractional exponent is handy when you want to deal with things like cube roots on a calculator. This is because

\sqrt[3]{x} = x^{1/3}

Many calculators don't have a button labeled \sqrt[3]{} but they have the button x^y to allow fractional exponents.

3 0
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masya89 [10]
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3 years ago
What is the area of a section of pavement that is 20 ft wide and 70 yd long?
myrzilka [38]

Answer:

A = 4200 ft^2

Step-by-step explanation:

We know the formula for area is

A = l*w

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1 yd = 3ft

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70 yds = 210 ft

A = 210 *20

A = 4200 ft^2



6 0
3 years ago
Please help &amp; show me how you got it! <br>6-7
Nadya [2.5K]
Number 6 the y intercept is 50 because that’s the point where it crosses the y axis and 7 I believe it would be D= 200
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