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4 years ago

BRAINLIEST ASAP! PLEASE HELP ME :)

Mathematics

1 answer:

aleksandrvk [35]4 years ago

5 0

Answer:

Two

Step-by-step explanation:

The table is saying that, if Sandra swam enough races, she should expect to get 20 firsts, 12 seconds, 6 thirds, and two no placements.

Her expected value of points will be the average (mean) of all the points awarded for each race.

The average is the total number of points divided by the number of races.

$\begin{array}{cccl}\textbf{Points} & & \textbf{Total}\\\textbf{Awarded} & \textbf{Frequency} & \textbf{Points}\\3 & 20 & 60\\2 & 12 & 24\\1 & 6 & 6\\0 & 2 & 0\\\textbf{TOTAL} & \mathbf{40} & \mathbf{90}\\\end{array}$

The simulation says that, if she swam 40 races, she should expect to earn a total of 90 points.

$\text{Average} = \dfrac{\text{Total points}}{\text{Number of races }} = \dfrac{\text{90}}{\text{40}} =\textbf{2.25 points/race}$

She can't win a fraction of a point, so she can expect to win two points in her first race.

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Please help. Thank you.

Trava [24]

Answer:

By the Pythagoras theorem, the hypotenuse (c), is equivalent to:

a^2+ b^2= c^2 where a and b are the other two sides of the right angled triangle, hence c= square root (15^2+ 20^2)= 25

4 0

3 years ago

Please help <br><br>Find the percentage of each of the following quantities

makvit [3.9K]

Answer:

1. 48

2. 96

3. 2.16

4.252

Step-by-step explanation:

7 0

3 years ago

One angle of a triangle measures 65°. The other two angles are in a ratio of 3:20. What are the measures of those two angles?

Nataly_w [17]

Answer:

15° and 100°

Step-by-step explanation:

$65 + 3x + 20x = 180$

$23x = 115$

$x = 5$

3 × 5 = 15, 20 × 5 = 100. So the other two angles measure 15° and 100°.

3 0

2 years ago

The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number? x = –1 and x =

andrey2020 [161]

we have

$f(x)=x^{2}-2x-3$

Find the roots

Equate the function to zero

$x^{2}-2x-3=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

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

Complete the square. Remember to balance the equation by adding the same constants to each side.

$x^{2}-2x+1=3+1$

$x^{2}-2x+1=4$

Rewrite as perfect squares

$(x-1)^{2}=4$

Square root both sides

$(x-1)=(+/-)2$

$x=1(+/-)2$

$x=1+2=3$

$x=1-2=-1$

therefore

<u>the answer is</u>

$x=3$

5 0

3 years ago

Read 2 more answers

A cab company charges $0.80 per mile plus $2 for tolls. Melissa has at most $16 to spend on her cab fare. Write and solve an ine

Anna35 [415]

Answer:

The maximum distance is 17.5 miles

No she can't make to the airport.

Step-by-step explanation:

Given the cab charges $0.8 per mile and $2 for tolls.

let the miles travelled by melissa be x.

The total charge is $ $(0.8*x+2)$

Now given that she can spend a maximum of $16

so the inequality is

$0.8*x+2\leq 16$

$0.8*x\leq 14$

$x\leq \frac{14}{0.8}$

$x\leq 17.5$

Therefore the maximum distance she can travel is 17.5 miles

Since the distance to airport is 25 miles which is greater than 17.5 miles she cannot afford the cab.

3 0

4 years ago