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2 years ago

Can someone help me please? I’ll give you brainliest ^^

Mathematics

1 answer:

Advocard [28]2 years ago

6 0

The sample space that represents all possible buses and boats combinations is given by:

{(D,1), (D,2), (D,3), (E,1), (E,2), (E,3), (F,1), (F,2), (F,3)}.

<h3>What is the sample space of an experiment?</h3>

The sample space is the <u>set that contains all possible outcomes for an experiment</u>.

In this problem, for each the bus and the boat, there are 3 outcomes, hence the cardinality of the sample space is given by:

3 x 3 = 9.

Considering that one letter from D, E and F, and one number for 1, 2 and 3 are chosen, the sample space is given by:

{(D,1), (D,2), (D,3), (E,1), (E,2), (E,3), (F,1), (F,2), (F,3)}.

More can be learned about sample spaces at brainly.com/question/25861936

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What is the value of x in the diagram below ?

Amanda [17]

Answer:

x = 9

Step-by-step explanation:

12^2 + a^2 = 54^2

a^2 = 54^2 - 12^2

a = sqrt (54^2 - 12^2) = 6 * sqrt(77)

Then calculate it for another triangle, where each side is 6 times shorter (as 12/2 = 6):

2^2 + (sqrt(77))^2 = x^2

x^2 = 81

x = 9

3 0

4 years ago

Solve the system of equations (1 point)<br> y = 2x(squared) – 3<br> y = 3x - 1

alex41 [277]

$\huge\fcolorbox{blue}{aqua}{Answer:}$

════════════════════

$y = {2x}^{2} - 3$

${2x}^{2} - 3 = y$

${2x}^{2} = y + 3$

$\frac{2x^{2}} {2} = \frac{y + 3}{2}$

${x}^{2} = \frac{y + 3}{2}$

$x = \sqrt \frac{2y + 6}{2}$

───────────────────

$y = 3x - 1$

$3x - 1 = y$

$3x = y + 1$

$\frac{3x}{3} = \frac{y+1}{3}$

$x = \frac{y + 1}{3}$

═══════════════════

Explanation:

#Carry on learning

7 0

2 years ago

What is the median of the data set? 14, 19, 18, 12, 22, 15, 16, 16, 14, 14, 21, 20

makkiz [27]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Anna walks at a constant rate of 8 miles every 2 hours Graph a line to show the relationship between the time in hours, 1 and th

stiks02 [169]

Answer:

We see that the only complete time-distance pair indicates that she walked 6.4 miles in 2 hours. If she walked at a constant speed, we can conclude that girl walked 3.2 miles in 1 hour. Using this speed, we can find the remaining values in the table. The easier entry to complete is finding out how far she walked in 5 hours: 5 hours⋅3.2 miles/hour=16 miles. To find out how long it took to walk 8 hours we can either notice that 8 is half of 16, so it took half the time to walk half the distance or we can divide 8 miles by 3.2 miles per hour to find that it took 2.5 hours

Step-by-step explanation:

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3 years ago

Use a graphing calculator or other technology to answer the question.

WITCHER [35]

Using a calculator and considering the given data, the quadratic regression equation that best fits the given data is:

y = -0.002x² - 2.051x + 31.179

<h3>How to find the equation of quadratic regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator of quadratic regression.

In this problem, the points to be inserted are as follows:

(0, 31), (1,29), (2, 28), (4,22), (6,19), (10, 11), (11,8).

Inserting these points, the equation is given by:

y = -0.002x² - 2.051x + 31.179

More can be learned about regression equations at brainly.com/question/27895782

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3 0

2 years ago