All categories

1 year ago

Andrew, Brenda and Cammi all work part-time at a supermarket. Cammi earns $20 more than Andrew

Mathematics

1 answer:

stellarik [79]1 year ago

4 0

Step-by-step explanation:

Let Andrew wage be = X

Cammi earns $20 more than Andrew So Cammi earns = 20 + X

Brenda earns $30 less than twice Andrew's wage

So she earns = 2X - 30

Their total combanied wage is $400

So Andrew + Cammi + Brenda = $400

X + 20+X + 2X-30 =400

4X - 10 =400

4X=400+10

4X=410

X= $102.5

So Andrew earns $102.5

Cammi earns $122.5

Brenda earns $175

You might be interested in

An individual repeatedly attempts to pass a driving test. Suppose that the probability of passing the test with each attempt is

vladimir1956 [14]

Answer:

a) Our random variable X="number of tests taken until the individual passes" follows a geomteric distribution with probability of success p=0.25

For this case the probability mass function would be given by:

$P(X= k) = (1-p)^{k-1} p , k = 1,2,3,...$

b) $P(X \leq 3) = P(X=1) +P(X=2) +P(X=3)$

$P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25$

$P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875$

$P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406$

And adding the values we got:

$P(X \leq 3) =0.25+0.1875+0.1406=0.578$

c) $P(X \geq 5) = 1-P(X$

And we can find the individual probabilities:

$P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25$

$P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875$

$P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406$

$P(X= 4) = (1-0.25)^{4-1} *0.25 = 0.1055$

$P(X \geq 5) = 1-[0.25+0.1875+0.1406+0.1055]= 0.316$

Step-by-step explanation:

Previous concepts

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

$P(X=x)=(1-p)^{x-1} p$

Let X the random variable that measures the number of trials until the first success, we know that X follows this distribution:

$X\sim Geo (1-p)$

Part a

Our random variable X="number of tests taken until the individual passes" follows a geomteric distribution with probability of success p=0.25

For this case the probability mass function would be given by:

$P(X= k) = (1-p)^{k-1} p , k = 1,2,3,...$

Part b

We want this probability:

$P(X \leq 3) = P(X=1) +P(X=2) +P(X=3)$

We find the individual probabilities like this:

$P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25$

$P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875$

$P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406$

And adding the values we got:

$P(X \leq 3) =0.25+0.1875+0.1406=0.578$

Part c

For this case we want this probability:

$P(X \geq 5)$

And we can use the complement rule like this:

$P(X \geq 5) = 1-P(X$

And we can find the individual probabilities:

$P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25$

$P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875$

$P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406$

$P(X= 4) = (1-0.25)^{4-1} *0.25 = 0.1055$

$P(X \geq 5) = 1-[0.25+0.1875+0.1406+0.1055]= 0.316$

3 0

3 years ago

The table below represents the distance of a train from its destination as a function of time: Time (hours) x Distance (miles) y

stiv31 [10]

A. y=-95x+665 y-intercept is 665
B. Ave rate of change is -95
C. y=0 so x=7 Domain is [0,7]

3 0

2 years ago

| x+8 | = 5 PLEASE, HELP ME!!!!!!! THE LINES ARE ABSOLUTE VALUE!!!!!

lara [203]

|x＋8|=5
then x+8= 5 or -5
then x= -3 or -13

6 0

2 years ago

The following table shows a portion of a four-year amortization schedule. A 4-year amortization schedule. The loan amount or pri

yKpoI14uk [10]

Answer:

Option c. $ 9,543.97

Explanation:

The row for month 25 shows that after twenty-five payments the balance of the loan is $10,356.03

You are told that the loan amount or principal is $ 19,900.

From those two data, you can calculate how much of the principal has been paid off after 25 months, because the amount paid off is equal to the loan less the balance after 25 payments:

Principal paid off = $ 19,900 - $ 10,356.03 = $9,543.97

8 0

3 years ago

Solve for y- 4y−3=5y+2

Anastaziya [24]

Y=−5/8 which is the answer to the equation
To check plug in the y value and see if it equals out

6 0

3 years ago

Read 2 more answers