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Lelu [443]
3 years ago
11

Kevin has an equal number of dimes, nickel and quarters in his piggy bank. He randomly picks a coin, replaces it, and picks anot

her coin. What is the probability that the sum of the two coins is at least 30cents?
Mathematics
1 answer:
san4es73 [151]3 years ago
3 0

Say he has 2 dimes (D), 2 nickels (N), and 2 quarters (Q). There are 3 * 3 = 9 choices for what he can pull out. How many will give at least 30 cents?

Q and N, N and Q, Q and D, D and Q

That's 4 out of 9. So, the probability is 4/9.

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What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the function
svet-max [94.6K]
F(x)=x^2
g(x)=(x-4)^2+2
In general, for horizontal shift h, and vertical shift k, 
g(x)=(x-h)^2+k
by comparison, we have h=+4, k=+2
=>
horizontal translation of +4 (to the right) and vertical translation of +2 (up)
4 0
3 years ago
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Karen paid $43.70 for a book. The price of the book was $40. What was the sales tax rate?
astraxan [27]
43.70 / 40 = 1.0925

1.0925 - 1 = 0.0925 = 9.25%

answer: <span>b.9.25%</span>
7 0
3 years ago
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Find the sides of a rectangle having area 125 square units if the sides are in the ratio 5:3.
tatiyna

For this case we have the following data:

Area of the rectangle, A = 125

Relationship of the sides 5: 3

By definition, the area of a rectangle is given by:

A = a * b

Where

  • a: is the longest side.
  • b: it is the side of least length.

If the sides have a 5: 3 ratio, it means:

\frac{a}{b}=\frac{5}{3}

a=\frac{5}{3}b

Substituting in the formula of the area, we have:

125 =a * b\\

125=\frac{5}{3}b*b

Clearing b:

3 * 125 = 5 * b ^ 2

\frac{375}{5}= b ^ 2

75 = b ^ 2

b =\sqrt{75}b = 8.7 units

Substituting and clearing:

125 = a * 8.7

a =\frac{125}{8.7}

a = 14.4units

So, the sides are:

a = 14.4units

b = 8.7units

Answer:

a = 14.4units

b = 8.7units


7 0
3 years ago
What are two decimals whose product is close to 10?
Elanso [62]
3.162 and 3.162. (3.162 is the rounded square root of 10)
5 0
4 years ago
Crystal has three packages of drink mix and two bottles of lemonade each package makes 64 oz of lemonade each bottle contains 48
irakobra [83]

Number of glass can serve is 48 glass

<u>Given:</u>

Number of drink mix package = 3

Quantity of each package = 64 oz

Number of lemonade bottle = 4

Quantity of each lemonade bottle = 48 oz

Quantity of each glass = 6 oz

<u>Find:</u>

Number of glass can serve

<u>Computation:</u>

Total quantity of mix drink = 3 × 64

Total quantity of mix drink = 192 oz

Total quantity of lemonade = 2 × 48

Total quantity of mix drink = 96 oz

Total drink = 192 + 96

Total drink = 288 oz

Number of glass can serve = Total drink / Quantity of each glass

Number of glass can serve = 288 / 6

Number of glass can serve = 48 glass

Learn more:

brainly.com/question/21348767?referrer=searchResults

6 0
3 years ago
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