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3 years ago

How do I draw a shaded figure that represents 100%

Mathematics

1 answer:

Taya2010 [7]3 years ago

6 0

Draw any figure (square, rectangle, triangle, etc) and color it all in. That would represent 100%

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Just a few questions that I need help with.

zvonat [6]

For 1: I used a calcultor I first wanted see how many groups of 24 their are out of 200. So I put in 200 / 24 = 8.33333333 Then I wanted to see the total number of students that have a tablet so I multiplied that 8.33333333 by 6 and got =50. So 50 out of 200 students have an electronic tablet.

2: I just used a calculator: 2.25 * 5 = 11.25 kilometers

3 0

3 years ago

A bicycle race follows a triangular course. The 3 legs of the race are, in order, 2.3 km, 5.9 km, 6.2 km. Find the angle between

Bess [88]

Answer:

About 71.77 degrees

Step-by-step explanation:

The starting leg is 2.3 km and the finishing leg is 6.2 km.

Using the law of cosines C^2 = A^2 + B^2 -2AB*cos(c) where A = 2.3 km, B = 6.2 km, C = 5.9 km, and angle c is the opposite angle to side C, we get:

5.9^2 = 2.3^2 + 6.2^2 -2(2.3)(6.2)*cos(c)

cos(c) = -(5.9^2 - 2.3^2 - 6.2^2)/(2*2.3*6.2)

c = 71.77 degrees

3 0

2 years ago

Read 2 more answers

In the New York State number lottery, you pay $1 and pick a number from 000-999. If your number comes up, you win $500, which is

slava [35]

Answer:

Expected value of profit is ≅ $15.80

Step-by-step explanation:

from the Question,

Let the variable X represents the expected value of profit. X is called as random variable because picking a number from 000-999 digits is a Random process.

P(win) = $0.001$

So, P(lose) = $1-0.001=0.999$

Suppose that,

we really want to win this lottery. so we can go to the store and spend $1000 to buy all ticket (from 000 - 999). This would ensure your winning of $500 with one of the tickets (for a $499 profit), but the other 999 would be losers (for a $999 loss).

What would be your average winnings on a per-ticket basis?

$u = E(x) =$ ∑ $x\times P(x)$

$= 499\times0.0001+ (-1)\times0.999$

= $-0.50$

Here,

Standard deviation of the expected winnings

$V (X) =$ ∑ $(x-u)^{2} \times P(x)$

= ∑ $(499-(-0.50))^{2} \times 0.001 + (-1-(-0.50))^{2} \times 0.999$

$= 249.75$

Taking square root of the variance to get the standard deviation:

SD(x) = $\sqrt{249.75}$

≅ $15.80

Hence

The expected value of profit is ≅ $15.80

6 0

3 years ago

At what simple annual interest rate must $2,500 be invested if it is to earn $225 in interest in one year?

Leya [2.2K]

Answer:

D) 9%

Step-by-step explanation:

Simple interest formula:

$I = P*r*t$

Principal (P) -> $2,500
interest rate (r) -> r
time (t) -> 1 year

Thus:

$225 = 2,500*r*1$

After clearing the equation:

$r = \frac{9}{100}$ , which is 0.09 -> 9%

8 0

3 years ago

When planning his crops, Farmer Joe knows that his 5 acres can support corn and strawberries. He wants to make $5,500 from his c

qaws [65]

This can be solved using the system of equations:

5500 = 1000c + 1500s
5 = c + s

As the first equation can have different combinations, it is the second equation that defines just how much acres or corn or strawberries(or mathematically, it defines the values of c or s in the first equation) there are. Therefore, the equation " 5 = c + s" is the constraint.

3 0

3 years ago