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Murrr4er [49]
2 years ago
5

Spinner i is divided into four equal sections labeled 2, 3, 4 and 5. spinner ii is divided into five equal sections labeled 1, 3

, 5, 7 and 9. if each spinner is spun and the resulting numbers are multiplied, what is the probability that the product is a two-digit even number? express your answer as a common fraction.
Mathematics
2 answers:
Illusion [34]2 years ago
8 0
The probability is 7/20.

There are 20 outcomes in the sample space:
2(1)   2(3)   2(5)   2(7)   2(9)
3(1)   3(3)   3(5)   3(7)   3(9)
4(1)   4(3)   4(5)   4(7)   4(9)
5(1)   5(3)   5(5)   5(7)   5(9)

Out of these, 14 are two digit products.  Out of those 14, only 7 are odd.  Thus the probability is 7/20.
Dafna11 [192]2 years ago
4 0

Answer: The probability is p = 0.35

Step-by-step explanation:

The data is:

Spinner 1 is labeled 2, 3, 4 and 5

Spinner 2 is labeled 1, 3, 5, 7 and 9

then the first spinner has 4 options and the second one has 5 options, so we have a total of 4*5 = 20 possible outcomes of spurning both spinners.

The options where the product is a two-digit even number are:

2*5 = 10

2*7 = 14

2*9 = 18

4*3 = 12

4*5 = 20

4*7 = 28  

4*9 = 36

so we have a total of 7 combinations where the product of both numbers is a two-digit number.

The probability of this event happening is equal to the number of combinations where this event happens, divide the total number of combinations, so we have:

P = 7/20 = 0.35

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Mark has three 4 1/2 oz cans and five 8 1/4 oz cans. How many ounces of tomatoes does Mark need?​
Mashutka [201]

Answer:

54.74 ounces of tomatoes mark need.

Step-by-step explanation:

Given : Mark has three 4\frac{1}{2} oz cans and five 8\frac{1}{4} oz cans.

To find : How many ounces of tomatoes does Mark need?​

Solution :

Mark has three 4\frac{1}{2} oz cans.

i.e. 3\times 4\frac{1}{2}=3\times \frac{9}{2}=\frac{27}{2}

Mark has five 8\frac{1}{4} oz cans.

i.e. 5\times 8\frac{1}{4}=5\times \frac{33}{4}=\frac{165}{4}

Total ounces of tomatoes does Mark need is

T=\frac{27}{2}+\frac{165}{4}

T=\frac{54+165}{4}

T=\frac{219}{4}

T=54.75

Therefore, 54.74 ounces of tomatoes mark need.

7 0
1 year ago
Bananas are being sold for $0.59 a pound at Store A and $0.55 a pound at Store B. A customer wants to buy 10 pounds of bananas.
andre [41]

Answer:

The customer saves 5.9 - 5.5 = $0.5

when he shops at store B

Step-by-step explanation:

Stores A and B sells bananas at different prices per pound.

Bananas are being sold for $0.59 a pound at Store A and $0.55 a pound at Store B.

If a customer wants to buy 10 pounds of bananas from store A and store B,

The customer would spend 0.59 × 10 pounds of bananas = $5.9

buying from store A and

The customer would spend 0.55 × 10 pounds of bananas = $5.5

buying from store B.

The customer spends more for 10 pounds of bananas if he buys from shop A.

The customer saves 5.9 - 5.5 = $0.5

when he shops at store B

8 0
2 years ago
The power 3 Superscript negative 3 equals StartFraction 1 Over 27 EndFraction . Which expression is equivalent to 3 Superscript
SpyIntel [72]

Answer:

Option a: \frac{m^{5} }{162n} is the equivalent expression.

Explanation:

The expression is \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } where m\neq 0, n\neq 0

Let us simplify the expression, to determine which expression is equivalent from the four options.

Multiplying the powers, we get,

\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }

Cancelling the like terms, we have,

\frac{3^{-3}m^{5} n^{-1}}{6 }

This equation can also be written as,

\frac{m^{5}}{3^{3}6 n^{1} }

Multiplying the terms in denominator, we have,

\frac{m^{5} }{162n}

Thus, the expression which is equivalent to \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } is \frac{m^{5} }{162n}

Hence, Option a is the correct answer.   23

Step-by-step explanation:

4 0
1 year ago
Read 2 more answers
Person A is breathing five times as fast as person B. Compare the graphs of the breathing of the two people over time.
hammer [34]

Answer:

A

Step-by-step explanation:

Focus on what the question is telling you, as it's given to you in the question. It's saying five times, which means "×5" the number of person B, so it'll always be 5 times quicker, since they're breathing more times in a certain period of time than person B.

Hopefully this helped!

8 0
1 year ago
Find the cube root of 27d3 + 54a2b + 36ab2 + 8b3​
enot [183]

Answer:

 (3a + 2b)3

Step-by-step explanation:

STEP 1  :

Equation at the end of step 1

 (((27•(a3))+((54•(a2))•b))+(36a•(b2)))+23b3

Step 2:

(((27•(a3))+((54•(a2))•b))+(22•32ab2))+23b3

Step 3:

(((27•(a3))+((2•33a2)•b))+(22•32ab2))+23b3

Step 4:

 ((33a3 +  (2•33a2b)) +  (22•32ab2)) +  23b3

Step 5:

 Factoring:  27a3+54a2b+36ab2+8b3

8 0
1 year ago
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