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Murrr4er [49]
3 years ago
11

9.

Mathematics
1 answer:
beks73 [17]3 years ago
7 0

Answer:

6/11

Step-by-step explanation:

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Use the line of best fit to estimate the French score for a student who got 65 in maths.
just olya [345]

Using a linear function, it is found that the estimated French score is of 38.1875.

A <em>linear function</em> has the following format:

y = mx + b

In which:

  • m is the slope.
  • b is the y-intercept.

Searching the problem on the internet, it is found that two points of the line of best-fit are: (10,65) and (90,26).

The slope is given by <u>change in the output divided by the change in the input</u>, hence:

m = \frac{26 - 65}{90 - 10} = -0.4875

Then:

y = -0.4875x + b

Point (10,65) means that when x = 10, y = 65, and this is used to find b.

y = -0.4875x + b

65 = -0.4875(10) + b

b = 69.875

Hence:

y = -0.4875x + 69.875

For a student who got 65 in math, x = 65, and hence:

y = -0.4875(65) + 69.875 = 38.1875

The estimated French score is of 38.1875.

For more on linear functions, you can check brainly.com/question/16302622

7 0
3 years ago
Traveling with the current, a canoe went 30 miles in 3 hours. Traveling against the current, the canoe went 12 miles in 3 hours.
lora16 [44]

Answer

Rate of canoe in calm water is 7 mph

Step-by-step explanation:

Let y be the rate of the canoe in calm water

Let z represent the rate of current

Traveling with the current, the canoe went 30miles in 3 hours

The total speed of the current and canoe will be (y + z) mph

Recall that,

speed = distance / time

Distance = speed x time

Distance = 30 miles

time = 3 hours

30 = 3( y + z)

divide through by 3

30/3 = 3/3 (y + z)

10 = y + z -------------------- equation 1

Against the current, the canoe went 12 miles in 3 hours

Let the speed = (y - z) mph

Distance = speed x time

12 = 3(y - z)

Divide through by = 3

4 = y - z ------------- equation 2

The two-equation can be solved simultaneously

y + z = 10 --------------- equation 1

y - z = 4 -------------- equation 2

Eliminate z by adding the two equations equation together

(y + y) + (z - z) = 10 + 4

2y + 0 = 14

2y = 14

y = 14/2

y = 7 mph

To find z, put y in equation 1

y + z = 10

z = 10 - y

z = 10 - 7

z = 3 mph

Hence, the rate of canoe in calm water is 7mph

6 0
1 year ago
A vendor has 10 balloons for sale: 5 are yellow, 2 are red, and 3 are green. A balloon is selected at random and sold. If the ba
photoshop1234 [79]
There are 9 balloons remaining, of which 4 are yellow. therefore the probability that the next balloon is also yellow is 4/9
5 0
3 years ago
Read 2 more answers
100 points if you can answer this ​
horrorfan [7]

Answer:

x = 124°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum the given angles and equate to 540°

90° + 122° + 105° + 99°  x = 540° , that is

416° + x = 540° ( subtract 416° from both sides )

x = 124°

5 0
2 years ago
Read 2 more answers
Helps me! find the area please. \(〇_o)/
Anon25 [30]
We must remember the equation to find the area of a trapezoid first.
Area = \frac{A+B}{2} *H
A and B are the bases (6 and 12) 
The height is 6 for each trapezoid
Now Solve!
====================================================================
SOLVING...

Area = \frac{6 + 12}{2} * 6
Area = \frac{18}{2} * 6
Area = 9 * 6
Area = 54

Since there are two trapezoids, multiply 54 by 2
54 x 2 = 108
Area = 108

7 0
3 years ago
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