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Yuri [45]
3 years ago
13

A spinner divided into four equal parts, A, B, C, and D, is spun, then is followed by a roll of a standard six-sided die.

Mathematics
1 answer:
gavmur [86]3 years ago
6 0

Answer: 24

<u>Step-by-step explanation:</u>

Total Possible Outcomes given A, B, C, D  and 1, 2, 3, 4, 5, 6

= 4 x 6

= 24

*******************************************************************************

Answer: 3

<u>Step-by-step explanation:</u>

Total outcomes for an A and and odd number

= A and (1 or 3 or 5)

= 1 x 3

= 3

*******************************************************************************

Answer: \bold{\dfrac{1}{4,}\qquad \dfrac{1}{2,}\qquad \dfrac{1}{8}}

<u>Step-by-step explanation:</u>

Probability of an A out of A, B, C, D is: \dfrac{1}{4}

Probability of an odd (1, 3, 5) out of 1, 2, 3, 4, 5, 6 is: \dfrac{3}{6}=\dfrac{1}{2}

Probability of an A and an odd is: \dfrac{1}{4}\times\dfrac{1}{2}=\dfrac{1}{8}

*******************************************************************************

Answer: \bold{\dfrac{1}{2}}

<u>Step-by-step explanation:</u>

Probability of an odd (1, 3, 5) out of 1, 2, 3, 4, 5, 6 is: \dfrac{3}{6}=\dfrac{1}{2}

*******************************************************************************

Answer: \bold{\dfrac{3}{4}}

<u>Step-by-step explanation:</u>

Probability of an A or an odd is: \dfrac{1}{4}+\dfrac{1}{2}=\dfrac{1}{4}+\dfrac{2}{4}=\dfrac{3}{4}

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Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 2p − 8 &lt; 5p + 4 true.
Alika [10]

The set S:{ - 2 , - 3 } will make the inequality 2p - 8 < 5p + 4 true


What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

The set S : { - 2 , - 3 , - 4 , - 5 }

The inequality relation is 2p - 8 < 5p + 4

Now , substituting the value from set S in the inequality , we get

When p = - 2 :

2p − 8 < 5p + 4

2(-2) − 8 < 5(-2) + 4

-4 − 8 < -10 + 4

-12 < -6  TRUE

When p = - 3

2p − 8 < 5p + 4

2(-3) − 8 < 5(-3) + 4

-6 − 8 < -15 + 4

-14 < -11  TRUE

When p = - 4

2p − 8 < 5p + 4

2(-4) − 8 < 5(-4) + 4

-8 − 8 < -20 + 4

-16 < -16  FALSE

When p = - 5

2p − 8 < 5p + 4

2(-5) − 8 < 5(-5) + 4

-10 − 8 < -25 + 4

-18 < -21  FALSE

Therefore , the value of p = - 2 , - 3 will satisfy the given inequality relation

Hence , the set S:{ -2,-3 } is the solution

To learn more about inequality equation click :

brainly.com/question/11897796

#SPJ2

3 0
1 year ago
Read 2 more answers
The owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb. He wants
jeyben [28]

Answer:

9lb chocolate candies

6lb sugar candies

Step-by-step explanation:

Yes, I also happen to go to RSM. (6b)

Equation: 7x+2(15-x)=5*15

Solve:

7x+(2)(15)+(2)(−x)=(5)(15)

7x+30+(−2x)=75

(7x+(−2x))+(30)=75

5x+30=75

5x=45

x=9lb chocolate candies

Now, calculate the sugar candies.

15-9=6lb sugar candies

6 0
3 years ago
Read 2 more answers
A. y = z - xz + w<br> B. y = wz - x<br> C. y = wz - xz<br> D. y = x(w - z)
Alexeev081 [22]

Answer:

y=zw-zx in other words c

Step-by-step explanation:

w= zx+y/z

zw=zx+y

y=zw-zx

7 0
3 years ago
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What is the remainder of 203 divided by 9?
ra1l [238]

203/9=22 with a remainder of 5

3 0
3 years ago
720÷90=72 tens ÷ 9 tens = what?
Elden [556K]
720 divided by 72 is 80
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6 0
3 years ago
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