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insens350 [35]
1 year ago
12

A number cube has faces numbered 1 to 6. What is true about rolling the number cube one time? Select three options. S = {1, 2, 3

, 4, 5, 6} A. If A is a subset of S, A could be {0, 1, 2}. B. If A is a subset of S, A could be {5, 6}. C. If a subset A represents the complement of rolling a 5, then A = {1, 2, 3, 4, 6}. D. If a subset A represents the complement of rolling an even number, then A = {1, 3}.
Mathematics
2 answers:
Marat540 [252]1 year ago
5 0

Answer:

The correct answers are the options B. ; C. ; D.

Step-by-step explanation:

A numbered cube has face from 1 to 6.

The set S = {1, 2, 3, 4, 5, 6}.

A. If A is a subset of S, A could be {0, 1, 2}. This statement is false as A is a subset of B and A contains the element {0} which is not in S.

B. If A is a subset of S and A is given by {5, 6}. This statement is true as A elements of A are also in S.

C. If a subset A represents the complement of rolling a 5, then A = {1, 2, 3, 4, 6}. This statement is even true as A should contain all numbers from 1 to 6 except 5.

D. If a subset A represents the complement of rolling an even number, then A = {1, 3}. This statement is true as the numbers complement of an even number are 1, 3 and 5.

cupoosta [38]1 year ago
3 0

Answer:

its actually C and D

NOT B

Step-by-step explanation:

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Martin chose two of the cards below. When he found the quotient of the numbers, his answer was -16/9. Write the division problem
Sveta_85 [38]

Answer:

The required division problem he must solve is:

\frac{2}{3} \div \frac{-3}{8} =\frac{2}{3}\times\frac{-8}{3}=\frac{-16}{9}

Step-by-step explanation:

Consider the provided information.

Martin chose two of the cards below. When he found the quotient of the numbers, his answer was -16/9.

As we know that the quotient of the number is a negative number.

Therefore, the sign of both numbers must be different,

Thus we can concluded he must select \frac{2}{3} as one of the card, so that product is a negative number.

Let the selected card be x.

\frac{2}{3} \div x =\frac{-16}{9}\\\\x=\frac{2}{3}\div\frac{-16}{9}\\\\x=\frac{2}{3}\times\frac{-9}{16}\\\\x=\frac{-3}{8}

Hence, the two cards should be \frac{2}{3} and \frac{-3}{8}

The required division problem he must solve is:

\frac{2}{3} \div \frac{-3}{8} =\frac{2}{3}\times\frac{-8}{3}=\frac{-16}{9}

3 0
1 year ago
a sheet of acrylic has a mass of 95.2g. Acrylic has a density of 1.19g/cm³ What is the volume of the sheet of acrylic
professor190 [17]

Answer:

80 cm³

Step-by-step explanation:

Density = mass/volume

1.19 = 95.2/volume

Volume = 95.2/1.19

= 80

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2 years ago
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norman purchased 3.5 lb of his favorite mixture of dried fruits to use in trail mix the total cost was $16.87 how much does the
Alex_Xolod [135]
To do this we will divide d amount of dollars by d amount of lbs.

Lets do it:-
 
16.87 ÷ 3.5 = 4.82
1 lb of trail mix is for $4.82
 
CHECK OUR WORK:-
 
4.82 × 3.5 = 16.87
We were RIGHT!!
 
So, 1 lb of trail mix costs $4.82.
 
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A triangle on a coordinate plane is translated according to the rule T-3, 5(x, y). Which is another way to write this rule?
sergey [27]

Answer:c

Step-by-step explanation:

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2 years ago
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Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. Scores o
otez555 [7]

Answer:

Due to the higher z-score, David has the higher standardized score

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Which student has the higher standardized score

Whoever had the higher z-score.

David:

Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. So X = 52, \mu = 70, \sigma = 11

Z = \frac{X - \mu}{\sigma}

Z = \frac{52 - 70}{11}

Z = -1.64

Steven:

Scores on Ms. Nash's test have a mean of 64 and a standard deviation of 6. Steven has a score of 52 on Ms. So X = 52, \mu = 64, \sigma = 6

Z = \frac{X - \mu}{\sigma}

Z = \frac{52 - 64}{6}

Z = -2

Due to the higher z-score, David has the higher standardized score

3 0
2 years ago
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