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zepelin [54]
2 years ago
11

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is

the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.

Mathematics
2 answers:
Arada [10]2 years ago
7 0

Answer:

The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

The value of x is the number of 3-point questions, and the value of y is the number of 5-point questions, as the problem statement tells you. So, the solution (x, y) = (10, 14) indicates ...

"The test contains 10 three-point questions and 14 five-point questions."

_____

You can try the offered answers to see which might apply. The last choice has too many questions. The first and third choices don't add up to 100 points.

Kipish [7]2 years ago
7 0

Answer:

yeah dudeThe test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

The value of x is the number of 3-point questions, and the value of y is the number of 5-point questions, as the problem statement tells you. So, the solution (x, y) = (10, 14) indicates ...

"The test contains 10 three-point questions and 14 five-point questions."

_____

You can try the offered answers to see which might apply. The last choice has too many questions. The first and third choices don't add up to 100 points.

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A mechanical dart thrower throws darts independently each time, with probability 10% of hitting the bullseye in each attempt. Th
Arturiano [62]

Answer:

The probability of hitting the bullseye at least once in 6 attempts is 0.469.

Step-by-step explanation:

It is given that a mechanical dart thrower throws darts independently each time, with probability 10% of hitting the bullseye in each attempt.

The probability of hitting bullseye in each attempt, p = 0.10

The probability of not hitting bullseye in each attempt, q = 1-p = 1-0.10 = 0.90

Let x be the event of  hitting the bullseye.

We need to find the probability of hitting the bullseye at least once in 6 attempts.

P(x\geq 1)=1-P(x=0)       .... (1)

According to binomial expression

P(x=r)=^nC_rp^rq^{n-r}

where, n is total attempts, r is number of outcomes, p is probability of success and q is probability of failure.

The probability that the dart thrower not hits the bullseye in 6 attempts is

P(x=0)=^6C_0(0.10)^0(0.90)^{6-0}

P(x=0)=0.531441

Substitute the value of P(x=0) in (1).

P(x\geq 1)=1-0.531441

P(x\geq 1)=0.468559

P(x\geq 1)\approx 0.469

Therefore the probability of hitting the bullseye at least once in 6 attempts is 0.469.

3 0
1 year ago
Write v as a linear combination of u1, u2, and u3, if possible. (If not possible, enter IMPOSSIBLE.) v = (7, −14, −3, −4), u1 =
AlexFokin [52]

Answer:

IMPOSSIBLE

Step-by-step explanation:

8 0
2 years ago
The graph shows a fir tree's diameter growth over a 50 year period.
Brilliant_brown [7]

Answer:

The answer is B.) The diameter of the fir tree when planted and 20 inches

Step-by-step explanation:

The y-intercept is the initial diameter of the fir tree (10 inches). At the end of 50 years, the tree's diameter is 30 inches. Therefore, 30 − 10 = 20 inches of growth occurred over the 50 year period. The diameter of the fir tree when planted. The fir tree's diameter was 10 inches when it was planted.

6 0
2 years ago
One week, Isabelle bought 2 bags of apples and 3 bags of oranges. The next week, she bought 1 bag of apples and 2 bags of orange
Yuliya22 [10]

Answer:

D

Step-by-step explanation:

Because you are just subtracting the both numbers

6 0
1 year ago
Read 2 more answers
The sum of two numbers is 43. One number is five less than three times the other number. What is the largest number?
PolarNik [594]

Answer:

31

Step-by-step explanation:

Let the numbers be x and y.

"The sum of two numbers is 43." gives us the first equation.

x + y = 43

"One number is five less than three times the other number." gives us the second equation.

y = 3x - 5

Now we solve the system of two equations below.

x + y = 43

y = 3x - 5

Since the second equation is already solved for y, we will use the substitution method. We substitute 3x - 5 for y in the first equation.

x + y = 43

x + 3x - 5 = 43

4x - 5 = 43

4x = 48

x = 12

The first number is 12. Now we find the second number.

x + y = 43

12 + y = 43

y = 31

The larger number is 31.

4 0
2 years ago
Read 2 more answers
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