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goldfiish [28.3K]
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:
dezoksy [38]2 years ago
8 0
The answer is the test contains 10 3pt questions and 14 5 pt questions. Any questions please just ask!!! thank you!
denis-greek [22]2 years ago
3 0

the answer is the test contains 10 3pt questions and 14 5 pt questions. Any questions please just ask!!! thank you!

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What is the approximate value for the modal daily sales?
Aleksandr [31]

Answer:

Step-by-step explanation:

Hello!

<em>The table shows the daily sales (in $1000) of shopping mall for some randomly selected  days </em>

<em>Sales 1.1-1.5 1.6-2.0 2.1-2.5 2.6-3.0 3.1-3.5 3.6-4.0 4.1-4.5 </em>

<em>Days 18 27 31 40 56 55 23 </em>

<em>Use it to answer questions 13 and 14. </em>

<em>13. What is the approximate value for the modal daily sales? </em>

To determine the Mode of a data set arranged in a frequency table you have to identify the modal interval first, this is, the class interval in which the Mode is included. Remember, the Mode is the value with most observed frequency, so logically, the modal interval will be the one that has more absolute frequency. (in this example it will be the sales values that were observed for most days)

The modal interval is [3.1-3.5]

Now using the following formula you can calculate the Mode:

Md= Li + c[\frac{(f_{max}-f_{prev})}{(f_{max}-f_{prev})(f_{max}-f_{post})} ]

Li= Lower limit of the modal interval.

c= amplitude of modal interval.

fmax: absolute frequency of modal interval.

fprev: absolute frequency of the previous interval to the modal interval.

fpost: absolute frequency of the posterior interval to the modal interval.

Md= 3,100 + 400[\frac{(56-40)}{(56-40)+(56-55)} ]= 3,476.47

<em>A. $3,129.41 B. $2,629.41 C. $3,079.41 D. $3,123.53 </em>

Of all options the closest one to the estimated mode is A.

<em>14. The approximate median daily sales is … </em>

To calculate the median you have to identify its position first:

For even samples: PosMe= n/2= 250/2= 125

Now, by looking at the cumulative absolute frequencies of the intervals you identify which one contains the observation 125.

F(1)= 18

F(2)= 18+27= 45

F(3)= 45 + 31= 76

F(4)= 76 + 40= 116

F(5)= 116 + 56= 172 ⇒ The 125th observation is in the fifth interval [3.1-3.5]

Me= Li + c[\frac{PosMe-F_{i-1}}{f_i} ]

Li: Lower limit of the median interval.

c: Amplitude of the interval

PosMe: position of the median

F(i-1)= accumulated absolute frequency until the previous interval

fi= simple absolute frequency of the median interval.

Me= 3,100+400[\frac{125-116}{56} ]= 3164.29

<em>A. $3,130.36 B. $2,680.36 C. $3,180.36 D. $2,664</em>

Of all options the closest one to the estimated mode is C.

5 0
2 years ago
The American flag is customarily made with its width and length in the ratio of 10 to 19. Which of the following dimensions is i
saul85 [17]
You have not provided the options, therefore, I cannot give an exact answer. However, I can help you with the procedures.

We are given that the ratio between the width and the length of the flag is 10 to 19.
This means that:
\frac{width}{length} =  \frac{10}{19}

Therefore, to get the correct choice, all you have to do is divide the width by the length, if the result is 10/19, then the dimensions given are correct.

Examples:
For length = 190 and width = 100,
width / length = 100 / 190 = 10 / 19 .........> correct choice

For length = 1.9 and width = 1,
width / length = 1 / 1.9 = 10 / 19 .......> correct choice

Hope this helps :)
3 0
2 years ago
Please help right now!!!!! Solve the system of equations below. x + y = 7 2x + 3y = 16
motikmotik

Answer:

x=5 and y=2.

Step-by-step explanation:

We have been given a system of equations. We are asked to solve our given system.

x+y=7...(1)

2x+3y=16...(2)

From equation (1), we will get:

x=7-y

Upon substituting this value in equation (2), we will get:

2(7-y)+3y=16

14-2y+3y=16

14+y=16

14-14+y=16-14

y=2

Now, we will substitute y=2 in equation (1).

x+2=7

x+2-2=7-2

x=5

Therefore, the point (5,2) is solution for our given equation.

7 0
3 years ago
Ben takes a 45 minute test. After answering 10 questions, the timer indicates that one-fifth of the total time is up. How much t
TEA [102]

it took Ben 9 minutes to answer 10 questions

5 0
2 years ago
If ∠1 and ∠2 are supplementary angles and m∠1=97.54°, what is m∠2?
Zigmanuir [339]
M2 is 180-97.54 which equals 102.46
4 0
3 years ago
Read 2 more answers
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