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photoshop1234 [79]
3 years ago
9

2. A chemist has a 25% and a 50% acid solution. How

Mathematics
1 answer:
AnnZ [28]3 years ago
7 0

Answer:

x is mL of 25% acid and y is mL of 50% acid

We set up 2 equations:

A) x + y = 250

B) .25 x + .50y = .35 * 250 which equals

B) .25x + .50y = 87.50  Multiplying A) by -.5

A) -.5x -.5y = -125  adding the equations we get

-.25x = -37.50

x = 150 mL

y = 100 mL

Source:  http://www.1728.org/mixture.htm

Step-by-step explanation:

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A family has 4 children: Ariel, Bob, Chris, and Diana. Assuming that all birth orders are equally likely.
sattari [20]

Answer:

A) 0.5

B) 0.375

C) 0.375

D) 0.167

Step-by-step explanation:

Let's call

a: Ariel

b: Bob

c: Chris

d: Diana

There are 4*3*2*1 = 24 total combinations to order the 4 children

A) Ariel is older than Diana in the following 12 cases:

a b c d

a b d c

a c b d

a c d b

a d b c

a d c b

b a c d

b a d c

b c a d

c a b d

c a d b

c b a d

Then, the probability is 12/24 = 0.5

B) The condition "Ariel is older than Diana, if it is given that Ariel is older than Bob" is satisfied in the six first cases and last three cases of before.

Then, the probability is 9/24 = 0.375

C) Ariel is older than Diana, if it is given that Chris is older than Diana, in the following cases:

a b c d

a c b d

a c d b

a d c b

b a c d

b c a d

c a b d

c a d b

c b a d

Then, the probability is 9/24 = 0.375

D) Ariel is older than Diana, if it is given that Diana is older than Bob, in the following cases:

a c d b

a d b c

a d c b

c a d b

Then, the probability is 4/24 = 0.167

7 0
3 years ago
Read 2 more answers
Find the value of x.<br> (2x - 95)°
NNADVOKAT [17]

Answer:

x =  \frac{95}{2}

3 0
2 years ago
Shell charges $2.23 dollars per gallon of gas for refueling vehicles. Assume the number of gallons is your independent variable
sattari [20]
Y=$2.23x
Is there more to the question?
5 0
3 years ago
The regression equation Credits = 17.9 − 0.09 Work was estimated from a sample of 21 statistics students. Credits is the number
Readme [11.4K]

Answer:

Step-by-step explanation:

Hello!

Given the regression equation

Credit= 17.9 - 0.09 Work

That was estimated from a sample of n= 21 statistic students.

Y: number of college credits taken

X: number of hours worked per week at an outside job

a)

The estimation for the slope is -0.09

As you see the estimated slope is negative, this means that the association between the two variables is indirect or inverse. Meaning, when the number of Work increases, the number of Credit decreases. (negative regression)

The correct option is: "An increase in the number of hours worked per week decreases the expected number of credits."

b)

The estimation for the intercept is 17.9

In general, the intercept is the estimated average of Y when X=0. You can interpret the intercept of this equation as "the value of Credits earned by a student that does not work outside of school"

The correct option is: " The intercept is meaningful as a student may not have a job outside of school. "

c)

If Work=0, then Credit= 17.9 (As explained in item b)

By replacing the value in the equation: Credit= 17.9 - 0.09 * 0= 17.9

If Work=60, you replace it in the equation and:

Credit= 17.9 - 0.09 Work= 17.9-0.09*60= 12.5

If the student works 60 hs outside of school it is expected that he takes 12.5 college credits.

I hope this helps!

4 0
3 years ago
Alana spent $18.24 on 4.8 pounds of plant food.
____ [38]

Answer: $3.8 per pound of food.

Step-by-step explanation: 18.24 divided by 4.8

4 0
3 years ago
Read 2 more answers
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