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lisov135 [29]
3 years ago
6

Your class is holdinga fundraiser for a local charity after the first week your class raised 1/8 goal after the second week your

class raised total of 3/5 of your goal what fraction of the goal was raised during the second week
Mathematics
1 answer:
n200080 [17]3 years ago
7 0

Answer: \dfrac{19}{40}

Step-by-step explanation:

Given: Fraction of goal raised on first day = \dfrac{1}{8}

Fraction of goal raised after second day  = \dfrac35

Now , Fraction of goal raised on second day = Fraction of goal raised after second day  - Fraction of goal raised on first day

=\dfrac35-\dfrac18\\\\=\dfrac{24-5}{40}\\\\=\dfrac{19}{40}

Required fraction = \dfrac{19}{40}

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A toaster oven costing $130 offers an extended warranty for 25% of the purchase price.
tester [92]

I assume you want the total cost of the toaster and the warranty the total is $162.50

3 0
3 years ago
a large container holds 5 gallons of water. it begins leaking at a constant rate. after 15 minutes, the container has 2 gallons
Scrat [10]

Answer:

1 gallon ever 5 minutes here is the fraction form if you need it for a graph 3/15 or 1/5

Step-by-step explanation:

if there is 3 gallons gone and it is constant then on gallon goes every 5 minutes 15/3=5

8 0
3 years ago
What is the volume of a tuna can if the diameter is 13cm and the height is 5cm ?
zloy xaker [14]
The volume of the tuna can is 663.66 cm^3.

Hope that helps!
7 0
3 years ago
A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec
natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

50 parts means that N = 50

4 defective means that k = 4

10 are chosen, which means that n = 10

What is the probability this shipment passes inspection?

Probability that none is defective, so:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968

0.3968 = 39.68% probability this shipment passes inspection.

6 0
3 years ago
What quantity of a 50% acid solution must be mixed with a 20% solution to produce 600 mL of a 45% solution?
Naddika [18.5K]

Answer:

400 mL

Step-by-step explanation:

0.50x + 0.20(600-x) = 0.40*600

50x + 20*600 - 20x = 40*600

30x = 20*600

x = 20*20

x = 400 mL

4 0
3 years ago
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