Winnie write the following riddle.I am a number between 60 and 100.My ones digit is teo less than my trns digit.I am a prime number.Winnie's friend Marci guessed that her riddle was about the number 79.Why can't 79 be the answer to Winnie's riddle?

Answers

Answer 1

Answer: The criteria is
Between 60 & 100
Units digit 2 less than tens
Prime number

79 is a number between 60 & 100 and it is a prime number (as its only factors are 1 and itself), however 79 has a tens digit that is 2 less than the units - not the units 2 less than the tens.
As it does not comply with one of the rules the number cannot be 79

The number that would work is 97

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A container contains balls numbered from 1 through 55. A ball is drawn randomly and replaced. Then a second ball is drawn randomly. What is the probability that the first ball is number 9 and the second ball is number 41?

Answers

Answer:

1/3025

Step-by-step explanation:

Prob. of getting a 9 is 1/55; likewise for 41. multiply the 2 probs. together. (1/55)^2=1/3025≈0.00033057851

Final answer:

The probability of drawing ball number 9 first and then drawing ball number 41 from a container of balls numbered 1 to 55, with replacement is 1/3025.

Explanation:

The question pertains to the field of probability in Mathematics. It is asking for the probability of first drawing ball number 9 and then drawing ball number 41 from a container that contains balls numbered from 1 to 55. Since the ball is replaced after the first draw, the total number of possibilities remains the same for both draws. Therefore, the individual probability of drawing either one of those balls at a certain draw is 1/55.

Given that these are independent events, we multiply the probabilities. Hence, the probability of drawing ball number 9 first and then drawing ball number 41 is: P(9 and 41) = P(9) x P(41) = (1/55) x (1/55) = 1/3025.

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Which of the following best describes the expression 3x + 2y + 8z?The product of three sums; there are three terms
The sum of three products; there are three terms
The product of three sums; there are six terms
The sum of three products; there are six terms

Answers

The expression above is composed of 3 terms which are: 3x, 2y, and 8z. All of the terms are the product of two items. The first term is a product of 3 and x. The second is a product of 2 and y. Lastly, the third is a product of 8 and z.

Thus, the expression is a sum of three products and there are only three terms. This answer is the second among the four choices.

Answer: B The sum of three products; there are three terms

Step-by-step explanation:

Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered. Last week, Pedro delivered 5 newspapers and earned $37.50. This week, he delivered 20 newspapers and earned $75. Let x equal the number of newspapers Pedro delivers and y be the earnings he receives in dollars. Which linear function models the scenario?

Answers

y=mx+b
x=number of newspapers
37.5 earned for 5 newspapers
37.5=5m+b

earned 75 and deliverd 20 newpapers
75=20m+b

we have

37.5=5m+b and
75=20m+b
multiply first equaiton by -1 and add to other equaiton

-37.5=-5m-b
75=20m+b +
37.5=15m+0b

37.5=15m
divide both sides by 15
2.5=m

sub back to find b
75=2.5(20)+b
75=50+b
minsu 50 both sides
25=b

y=2.5x+25 is lnear funtion

The linearfunction is y=2.5x+25

What is linear function?

A linear function is a function whose graph is a straightline, that is, a polynomial function of degreezero or one.

As, we know equation of line

y=mx + b

x=number of newspapers

37.5=5m+b...............(1)

also,

75=20m+b....................(2)

Solving (1) and (2) , we get

37.5=15m

m=2.5

and, 75=2.5(20)+b

75=50+b

b= 25

Hence, y=2.5x+25 is linear function.

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Without graphing, classify each system of equations as independent, dependent, or inconsistent. Solve independent systems by graphing.1) 5 - y = 2x
6x - 15 = -3y

2) 6y + 2x = 8
12y + 4x = 4

Answers

The correct classification of the given equations is as follows:

First equation is dependent
Second equation is inconsistent

What is a Dependent Equation?

This refers to the system of equations where an equation has infinite solutions and has more than one form on a given line.

With this in mind, we can see that when we are given a system of equations such as

5 - y = 2x

6x - 15 = -3y, then we know that this is a dependent equation because of the infinite solutions on the two equations.

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1. Is Dependent.
2. Is Inconsistent

Suppose we toss a coin 4 times. how many different sequences of outcomes are possible if order matters? (for example, hhtt is one outcome and htht is counted as a different outcome)

Answers

Solution: Each coin toss has 2 possible outcomes "Head" and "Tail". So if we flip a coin four times, the number of possible outcomes are:

$2^(4) = 16$ outcomes.

Let H denotes the Head and T denotes the Tail, then the 16 possible outcomes are enumerated below:

HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT,

THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT

(9x3 - 2x2 - 3) - (4x3 - 9x + 6)

Answers

Answer: 22

Step-by-step explanation:

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