The students in a third-grade classroom arranged the desks in this shape.

Inez earns $160 per month by babysitting. She saves 25% of her monthly salary. If her salary increases by 10% how much will she

ASHA 777 [7]

This person will now save $44

6 0

3 years ago

Read 2 more answers

What are m and b in the linear equation y=30x + 20

UkoKoshka [18]

Answer:

m = 30, b = 20

Step-by-step explanation:

1. The equation is written in slope-intercept form, so it follows the following equation: y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = slope.

2. As you can see, 30 is the value that took the place of m, and 20 is the value that took the place of b.

Therefore, m is 30 and b is 20.

4 0

3 years ago

Read 2 more answers

What fraction is equal to 4.5

pantera1 [17]

Answer:

9/2

Step-by-step explanation:

in order to find the fraction form of 4.5... we need to set a denominator. The denominator has to be greater than 1 because we 4.5 is not a whole number...

we want the simplest denominator in the end... so we'll pick 2 for a denominator and change it if it doesn't work in the end...

now that we know the denominator... we have to make the numerator 4 times larger than the denominator (2)... when we do this... we get 8/2

since we made the numerator 4 times larger than the denominator... we know that 8/2 is the same as 4

now we need to find the remaining 1/2

this can be done by simply adding 1/2 to 8/2 (which is easily done thanks to a common denominator)

Since 9/2 cannot be simplified any further... it is our final answer

4 0

2 years ago

Distributive Property

algol13

1. 4 (6 + 7) is the same as (4 • 6) + (4 • 7)
X = 4
2. 6 • 45 = 270
a. 270, (6 • 40) + (6 • 5) = 240 + 30 = 270
b. 210, (6 • 40) - (6 • 5) = 240 - 30 = 210
c. 270, (6 • 50) - (6 • 5) = 300 - 30 = 270
A. 270, C. 270
3. 6m + 7n + 5m - 3n, combine like terms, 6m + 5m = 11m, 7n - 3n = 4n
B. 11m + 4n
4. 2y^3 - 4y^2 + y + y^3, exponents tell you what are like terms
C. 2y^3 and y^3
5. 4x^3 - 3x^2 + x + 3x^3, combine like terms, then put in descending order
D. 7x^3 - 3x^2 + x

4 0

3 years ago

A gambler has a coin which is either fair (equal probability heads or tails) or is biased with a probability of heads equal to 0

yawa3891 [41]

Answer:

(a) 0.1719

(b) 0.3504

Step-by-step explanation:

For every coin the number of heads follows a Binomial distribution and the probability that x of the 10 times are heads is equal to:

$P(x)=\frac{n!}{x!(n-x)!}*p^x*(1-p)^{10-x}$

Where n is 10 and p is the probability to get head. it means that p is equal to 0.5 for the fair coin and 0.3 for the biased coin

So, for the fair coin, the probability that the number of heads is less than 4 is:

$P(x$

Where, for example, P(0) and P(1) are calculated as:

$P(0)=\frac{10!}{0!(10-0)!}*0.5^0*(1-0.5)^{10-0}=0.0009\\P(1)=\frac{10!}{1!(10-1)!}*0.5^1*(1-0.5)^{10-1}=0.0098$

Then, $P(x$ , so there is a probability of 0.1719 that you conclude that the coin is biased given that the coin is fair.

At the same way, for the biased coin, the probability that the number of heads is at least 4 is:

$P(x\geq4 )=P(4)+P(5)+P(6)+...+P(10)$

Where, for example, P(4) is calculated as:

$P(4)=\frac{10!}{4!(10-4)!}*0.3^4*(1-0.3)^{10-4}=0.2001$

Then, $P(x\geq4 )=0.3504$ , so there is a probability of 0.3504 that you conclude that the coin is fair given that the coin is biased.

7 0

3 years ago