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zloy xaker [14]

2 years ago

6

Mary called a plumber to fix her leaky faucet. The plumber charged a $50 service fee and $20 per hour. Mary owed the plumber $95

. Write an equation to find the number of hour, h, that the plumber worked.

2 answers:

Ivan2 years ago

8 0

Answer:

4.75 h

Step-by-step explanation:

Veseljchak [2.6K]2 years ago

3 0

The answer is 2.25h when we do theese equation
95-50=45
45/20=2.25h

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Required information Skip to question A die (six faces) has the number 1 painted on two of its faces, the number 2 painted on th

grigory [225]

Answer:

The change to the face 3 affects the value of P(Odd Number)

Step-by-step explanation:

Analysing the question one statement at a time.

Before the face with 3 is loaded to be twice likely to come up.

The sample space is:

$S = \{1,1,2,2,2,3\}$

And the probability of each is:

$P(1) = \frac{n(1)}{n(s)}$

$P(1) = \frac{2}{6}$

$P(1) = \frac{1}{3}$

$P(2) = \frac{n(2)}{n(s)}$

$P(2) = \frac{3}{6}$

$P(2) = \frac{1}{2}$

$P(3) = \frac{n(3)}{n(s)}$

$P(3) = \frac{1}{6}$

P(Odd Number) is then calculated as:

$P(Odd\ Number) = P(1) + P(3)$

$P(Odd\ Number) = \frac{1}{3} + \frac{1}{6}$

Take LCM

$P(Odd\ Number) = \frac{2+1}{6}$

$P(Odd\ Number) = \frac{3}{6}$

$P(Odd\ Number) = \frac{1}{2}$

After the face with 3 is loaded to be twice likely to come up.

The sample space becomes:

$S = \{1,1,2,2,2,3,3\}$

The probability of each is:

$P(1) = \frac{n(1)}{n(s)}$

$P(1) = \frac{2}{7}$

$P(2) = \frac{n(2)}{n(s)}$

$P(2) = \frac{3}{7}$

$P(3) = \frac{n(3)}{n(s)}$

$P(3) = \frac{1}{7}$

$P(Odd\ Number) = P(1) + P(3)$

$P(Odd\ Number) = \frac{2}{7} + \frac{1}{7}$

Take LCM

$P(Odd\ Number) = \frac{2+1}{7}$

$P(Odd\ Number) = \frac{3}{7}$

Comparing P(Odd Number) before and after

$P(Odd\ Number) = \frac{1}{2}$ --- Before

$P(Odd\ Number) = \frac{3}{7}$ --- After

<em>We can conclude that the change to the face 3 affects the value of P(Odd Number)</em>

7 0

2 years ago

As you can see I keep getting questions wrong.... Can you answer the last question?

aivan3 [116]

Answer:

y = 0

Step-by-step explanation:

It is always a good idea to look at the question and make some observations about it. Here, you might observe ...

all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
y is a factor of every exponent

The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.

__

To solve the equation, you can write it in terms of powers of 3.

(3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)

3^(-5y) = 3^(-15y)·3^(-4y)

3^(-5y) = 3^(-19y)

-5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3

14y = 0 . . . . . . . . . . add 19y

y = 0 . . . . . . . . . . . one solution

______

The rules of exponents we used are ...

(a^b)(a^c) = a^(b+c)

(a^b)^c = a^(bc)

1/a^b = a^-b

4 0

2 years ago

When multiplying or dividing a NEGATIVE and a POSITIVE, your answer will be... (if you spell it wrong, it will mark

serg [7]

Answer:

Both are negative

Step-by-step explanation:

If multiplying= It will always be negative

If dividing= It will also always be negative

8 0

2 years ago

Read 2 more answers

One urn contains one blue ball (labeled b1) and three red balls (labeled r1, r2, and r3). a second urn contains two red balls (r

Flura [38]

Answer:

12 possibilities

Step-by-step explanation:

In the first urn, we have 4 balls, and all of them are different, as they have different labels, so the group of two red balls r1 and r2 is different from the group of red balls r2 and r3.

The same thing occurs in the second urn, as all balls have different labels.

The problem is a combination problem (the group r1 and r2 is the same group r2 and r1).

For the first urn, we have a combination of 4 choose 2:

C(4,2) = 4!/2!*2! = 4*3*2/2*2 = 2*3 = 6 possibilities

For the second urn, we also have a combination of 4 choose 2, so 6 possibilities.

In total we have 6 + 6 = 12 possibilities.

3 0

2 years ago

Read 2 more answers

Brenda has $500 in her bank account Every week, she withdraws $40 for expeses. Without making any deposits, how many weeks can s

timofeeve [1]

Answer:

7 weeks

Step-by-step explanation:

500-200=300. 300 divided by 40 is 7.5 so 7 weeks

3 0

3 years ago