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3 years ago

The transitive property of equality states that:

2 answers:

5 0

Transitive Property of Equality<span>: If a = b and b = c, then a = c.

This is one of the equivalence </span>properties of equality<span>.

Hence, the answer is C.</span>

ExtremeBDS [4]3 years ago

4 0

The transitive propert is transfering equality

it goes something like
if a=b and b=c then a=c

so that wold be the 3rd option

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Jasmine wants to have an equal quantity of forks and spoons, what is the least number of packages of forks jasmine should buy to

vlada-n [284]

Answer:

6 packages of forks

Step-by-step explanation:

If Jasmine wants to have an equal quantity of forks and spoons, we need to list the multiples of each quantity and determine the least common multiple (LCM).

Forks: 10, 20, 30, 40, 50, 60, 70, 80, 90

Spoons: 12, 24, 36, 48, 60, 72, 84, 96

The LCM in this example is 60. In order to have exactly 60 forks and 60 spoons, Jasmine will need to buy 6 packages of forks [60 ÷ 10 = 6] and 5 packages of spoons [60 ÷ 12 = 5].

4 0

3 years ago

20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st

Sladkaya [172]

Answer:

a) 0.1423

b) 0.2977

c) 0.56

Step-by-step explanation:

For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

13 percent of the drivers stopped for speeding have invalid licenses.

This means that $p = 0.13$

14 drivers are stopped

This means that $n = 14$

(a) None will have an invalid license.

This is $P(X = 0)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{14,0}.(0.13)^{0}.(0.87)^{14} = 0.1423$

(b) Exactly one will have an invalid license.

This is $P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{14,1}.(0.13)^{1}.(0.87)^{13} = 0.2977$

(c) At least 2 will have invalid licenses.

Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is

$P(X < 2) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1) = 0.1423 + 0.2977 = 0.44$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.44 = 0.56$

8 0

3 years ago

I need help working this out

Leona [35]

I think in this situation the best method would be a guess and check. You know that there are 8 dimes more than there are nickels. So just keep increasing each number by one until you reach $1.40. If there were 9 dimes and 1 nickels it would add up to $0.95. If there were 10 dimes and 2 nickels, it would add up to $1.10. If there were 11 dimes and 3 nickels, it would add up to $1.25. If there were 12 dimes and 4 nickels, it would add up to $1.40. So your answer is 12 dimes and 4 nickels.

I hope this helped!

8 0

3 years ago

Read 2 more answers

What value of Y will satisfy the given equation y divided by 2y — 15 = 7/5

guapka [62]

Answer:

$\huge\boxed{\sf y = \frac{41}{5} \ OR \ y = 8\frac{1}{5} }$

Step-by-step explanation:

$\sf 2y-15 = \frac{7}{5} \\\\Adding \ 15 \ to \ both \ sides\\\\2y = \frac{7}{5} + 15\\\\2y = \frac{7+75}{5} \\\\2y = \frac{82}{5} \\\\Dividing \ both \ sides \ bu 2\\\\y = \frac{82}{5*2} \\\\y = \frac{41}{5}$

Hope this helped!

<h2>~AnonymousHelper1807</h2>

3 0

3 years ago

at a sale, dresses were sold for $10 each. if the dresses originally cost $200 each, what percentage of its original price was a

Varvara68 [4.7K]

Answer:

Step-by-step explanation:

10/200 = .05

.05 = 5%

7 0

3 years ago

Read 2 more answers