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vodka [1.7K]
3 years ago
11

A spinner has regions numbered 1 through 21. what is the probability that the spinner will stop on an even number or a multiple

of 3
Mathematics
2 answers:
MAXImum [283]3 years ago
6 0

Answer: \dfrac{2}{3}

Step-by-step explanation:

Given : The total number of regions in the spinner = 21

The outcomes for even number =2,4,6,8,10,12,14,16,18,20

The outcomes for multiple of 3 = 3,6,9,12,15,18,21

The number of outcomes of getting an even number or a multiple of 3 = 14

Then, the probability that the spinner will stop on an even number or a multiple of 3 will be :-

\dfrac{14}{21}=\dfrac{2}{3}

Hence, the probability that the spinner will stop on an even number or a multiple of 3 is  \dfrac{2}{3}

sertanlavr [38]3 years ago
5 0
10 of the numbers are even. 4 more are odd multiples of 3. The probability of landing on even or a multiple of 3 is (10+4)/21 = 2/3.
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(X-5)(x+6) greater than or equal to 0
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x \geq 5  ,or, x \leq -6
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3 years ago
What is 7+78/3=?<br> A.43<br> B.25<br> C.25.5<br> D.75
Andrei [34K]
So correct answer is 33
6 0
3 years ago
Y is inversely proportional to x.
Inessa [10]

Answer:

1. xy = 63

2. y = 3

Step-by-step explanation:

Given

Variation: inverse Proportion

y = 7, x = 9

Required

- Write an equation connecting y and x

- Find y when x = 21

Given that thee variation is inversely proportional;

This implies that

y\ \alpha\ \frac{1}{x}

Convert variation to equation

y\ = \frac{k}{x} ----------- Equation 1

Where k is the constant of variation

Substitute 7 for y and 9 for x in equation 1

7 = \frac{k}{9}

Multiply both sides by 9

9 * 7 = 9 * \frac{k}{9}

63 = k

Substitute 63 for k in equation 1

y = \frac{63}{x}

Multiply both sides by x

x * y = \frac{63}{x} * x

xy = 63

Hence, the equation connecting x and y is xy = 63

Solving for when x = 21

Substitute 21 for x in the above equation

21 * y = 63

Divide both sides by 21

\frac{21 * y}{21} = \frac{63}{21}

y = 3

4 0
3 years ago
Which expression has a positive quotient?
svp [43]

Answer:

Only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

Step-by-step explanation:

We will solve to find out Which expression has a positive quotient.

We know the division rule: \frac{-a}{-b}=\frac{a}{b} and \frac{-a}{b}=\frac{-a}{b}

We will use these rules

1) Negative three-fourths divided by Negative two-thirds

=\frac{-\frac{3}{4} }{-\frac{2}{3} }\\=-\frac{3}{4}\times -\frac{3}{2}\\=\frac{9}{8}

The quotient is positive.

2) Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth

\frac{-\frac{1}{8} }{3\frac{1}{5} }\\=\frac{-\frac{1}{8} }{\frac{16}{5} }\\=-\frac{1}{18} \times \frac{5}{16}\\=-\frac{5}{288}

The quotient is negative.

3) 2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth

\frac{2\frac{2}{7} }{-\frac{1}{5} }\\= \frac{\frac{16}{7} }{-\frac{1}{5} }\\=\frac{16}{7} \times -5\\=-\frac{80}{7}

The quotient is negative.

4) Negative 6 divided by Five-thirds

\frac{-6}{\frac{5}{3} }\\=-6 \times \frac{3}{5}\\=-\frac{18}{5}

The quotient is negative.

So, only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

4 0
3 years ago
Read 2 more answers
Number 15 really need help
Leokris [45]
$9 a day for 8 days.

So, for every day that went by they earned $9. In other words the answer is the Amount of Money Earned per day multiplied by the number of days!

So!

$9 * 8days

Or you can also think of it as this: 
9+9+9+9+9+9+9+9

Our answer comes out to be 72! 
8 0
3 years ago
Read 2 more answers
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