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saul85 [17]
3 years ago
7

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
1 answer:
marin [14]3 years ago
5 0
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.
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The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 m
bezimeni [28]

Answer: 0.75

Step-by-step explanation:

Given : Interval for uniform distribution : [0 minute, 5 minutes]

The probability density function will be :-

f(x)=\dfrac{1}{5-0}=\dfrac{1}{5}=0.2\ \ ,\ 0

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-

P(x>1.25)=\int^{5}_{1.25}f(x)\ dx\\\\=(0.2)[x]^{5}_{1.25}\\\\=(0.2)(5-1.25)=0.75

Hence,  the probability that a randomly selected passenger has a waiting time greater than 1.25 minutes = 0.75

7 0
3 years ago
A rectangle has an area of 100 square centimeters. The base of the rectangle is 25 centimeters. What is the height of the rectan
enyata [817]
You find area by multiplying base and height.
The formula is  A=bh
so 100=25h
25 times 4 is 100
100=25*4

4cm is your answer
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3 years ago
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7 0
3 years ago
12. Find the value of x.<br> (11x - 151°<br> (5x - 13°
Step2247 [10]

Answer:

Step-by-step explanation:

I guess the angles are supplementary, which means they have a sum of 180º.

11x - 15 + 5x - 13 = 180

16x -28 = 180

16x = 208

x = 13

4 0
2 years ago
B = {(0.5k–5, 10), (k+7, 4)} solve for k
Paul [167]

Answer:

The chosen topic is not meant for use with this type of problem. Try the examples below.

√x+2=3

−4+y=3y+4(y−3)

2+|3x|=2+3

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1 year ago
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