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3 years ago

Which justification describes the process?

Mathematics

2 answers:

tester [92]3 years ago

4 0

Answer:

Option 1 - Using the Subtraction Property of Equality, 2 is subtracted from both sides of the equation.

Step-by-step explanation:

Given : Process

Step 1: 4x + 2 = 10

Step 2: 4x = 8

To find : Which justification describes the process?

Solution :

From step 1 to step 2, we subtract 2 both sides

Step 1: 4x + 2 = 10

Subtracting 2 both side,

⇒ 4x + 2-2 = 10-2

Step 2: 4x = 8

So, The best justification is 'Using the Subtraction Property of Equality, 2 is subtracted from both sides of the equation'.

Therefore, Option 1 is correct.

Aleonysh [2.5K]3 years ago

3 0

Answer:

The correct option is 1. Using the Subtraction Property of Equality, 2 is subtracted from both sides of the equation.

Step-by-step explanation:

If a, b and c are three real numbers, then

1. According to Addition Property of Equality,

$a=b \Leftrightarrow a+c=b+c$

2. According to Subtraction Property of Equality,

$a=b \Leftrightarrow a-c=b-c$

3. According to Multiplication Property of Equality,

$a=b \Leftrightarrow ac=bc$

4. According to Division Property of Equality,

$a=b \Leftrightarrow \frac{a}{c}=\frac{b}{c}$

Step 1: The given equation is

$4x+2=10$

Step 2: Using the Subtraction Property of Equality, 2 is subtracted from both sides of the equation.

$4x+2-2=10-2$

$4x=8$

Therefore the correct option is 1.

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Answer:

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3 years ago

In a recent contest, the mean score was 210 and the standard deviation was 25. a) Find the z-score of John who scored 190 b) Fin

denpristay [2]

Answer:

a) $Z = -0.8$

b) $Z = 2.4$

c) Mary's score was 241.25.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

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.

In this problem, we have that:

$\mu = 210, \sigma = 25$

a) Find the z-score of John who scored 190

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

$Z = \frac{190 - 210}{25}$

$Z = -0.8$

b) Find the z-score of Bill who scored 270

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

$Z = \frac{270 - 210}{25}$

$Z = 2.4$

c) If Mary had a score of 1.25, what was Mary’s score?

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

$1.25 = \frac{X - 210}{25}$

$X - 210 = 25*1.25$

$X = 241.25$

Mary's score was 241.25.

3 0

3 years ago

Read 2 more answers

Please helpppppp In exercises 3-6, events A and B are disjoint. Find P(A or B).

bekas [8.4K]

Problem 3

Disjoint events are two (or more) events that cannot happen at the same time. An example would be flipping heads and tails at the same time with the same coin. Another example is selecting an ace of spades and selecting an ace of diamonds, when you only select one card.

In general notation, P(A and B) = 0 if and only if A and B are disjoint.

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.3 + 0.1 - 0

=========================================

Problem 5

Same idea, but different numbers

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 1/3 + 1/4 - 0

P(A or B) = 4/12 + 3/12 - 0

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