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2 years ago

A direct variation function contains the points (2,14) and (4,38) which equation represents the function

1 answer:

3 0

You are given two points on a line, and told that the function is "direct variation." You can save a lot of time by recognizing that the y-intercept here is zero (0). Thus, the line passes through the origin.

A line through (2,14) and (4,38) is NOT direct variation, because the line connecting those two points does NOT pass through the origin, and thus has a vertical intercept.

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A video game randomly chooses your car color and type. The probability of getting a red car is 0.20, and the probability of gett

pishuonlain [190]

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Event A: You get a red car

and

$P(A)=0.20$

Similarly,

Event B: You get a convertible

and

$P(B)=0.40$

So, if A and B are independent , then they must satisfy,

$P(A).P(B)=P(A\cap B)$

So,

$P(A\cap B)=0.4\times 0.2=0.08$

Hence, Option 'D' is correct, which states that the probability of getting a red convertible is 0.08.

7 0

2 years ago

Raj and aditi like to play chess against each other. aditi has won 12 of the 20 games so far. they decide to play more games. ho

Novay_Z [31]

Answer:

How many more games will Aditi have to win to have an 80% winning record?

The linear equation that models this is:

12 + x = 0.80(x+20)

Aditi would have to win 20 more games to have an 80% winning record.

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4 0

2 years ago

Read 2 more answers

If e = 9 cm and f = 40 cm, what is the length of g?

rewona [7]

(9,40,41) is a Pythagorean Triple, farther down the list than teachers usually venture.

Answer: D. 41 cm

There's a subset of Pythagorean Triples where the long leg is one less than the hypotenuse,

a^2+b^2 = (b+1)^2

a^2 + b^2 = b^2 + 2b +1

a^2=2b+1

So we get one for every odd number, since the square of an odd number is odd and the square of an even number is even.

b = (a^2 - 1)/2

a=3, b=(3^2-1)/2=4, c=b+1=5

a=5, b=(5^2-1)/2 =12, c = 13

a=7, b=24, c=25

a=9, b=40, c=41

a=11, b=60, c=61

a=13, b=84, c=85

It's good to be able to recognize Pythagorean Triples when we see them.

Otherwise we'd have to work the calculator:

√(9² + 40²) = √1681 = 41

8 0

2 years ago

The student senate at a local university is about to hold elections. A representative from the women’s sports program and a repr

Amanda [17]

Answer: H0: p1 ≤ p2, Ha: p1 > p2

Step-by-step explanation:

According to the information obtained, we can say that the hypothesis that determines that the percentages of support votes are different between the two incumbent candidates is as follows

H0: p1 ≤ p2, Ha: p1> p2

where the null hypothesis represents the difference between proportions

6 0

2 years ago

In a competition, two people will be selected from four finalists to receive the first and second prizes. The prize winners will

love history [14]

Answer:

1. JG (Jim gets first prize, George gets second prize)

2. JH (Jim gets first prize, Helen gets second prize)

3. JM (Jim gets first prize, Maggie gets second prize)

4. GH (George gets first prize, Helen gets second prize)

5. GJ (George gets first prize, Jim gets second prize)

6. GM (George gets first prize, Maggie gets second prize)

7. MJ (Maggie gets first prize, Jim gets second prize)

8. MG (Maggie gets first prize, George gets second prize)

9. MH (Maggie gets first prize, Helen gets second prize)

Step-by-step explanation:

The question asks for the list of outcomes in the event "Not A". We are looking for the reverse or negative of Event A.

The above given list is the list of outcomes in the event where Helen DOES NOT get first prize.

4 0

2 years ago