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g100num [7]
2 years ago
9

How are the graphs of y = | x + 2 | and y = | x | + 2 the same? How are they different?

Mathematics
1 answer:
ruslelena [56]2 years ago
6 0

Answer:

y = | x + 2 |  graph is going to the left and y = | x | + 2 is going up

Step-by-step explanation:

They are the same because both will have the same shape. However, they differ because y = |x| + 2 will shift two places up and y = | x + 2 | will shift two places to the left

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What is a correct congruence statement for the triangles shown? Enter your answer in the box. ​ △QDJ≅△ ​ A triangle Q D J. The b
almond37 [142]

Answer: The correct congruence statement is \triangle QDJ\cong \triangle MCW.

Explanation:

It is given that A triangle Q D J. The base D J is horizontal and side Q D is vertical. Another triangle M C W is made. The base C W and side M C are neither horizontal nor vertical. Triangle M C W is to the right of triangle Q D J.

The sides Q D and M C are labeled with a single tick mark. The sides D J and C W are labeled with a double tick mark. The sides Q J and M W are labeled with a triple tick mark.

Draw two triangles according to the given information.

From the figure it is noticed that

QD\cong MC

DJ\cong CW

QJ\cong MW

So by SSS rule of congruence we can say that \triangle QDJ\cong \triangle MCW.

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3 years ago
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A group of students where asked about the number of e-mails they each send that day. The results are: 0, 1, 1, 2, 3, 3, 4, 4, 6,
valkas [14]

Answer:

Choice D

Step-by-step explanation:

After writing the data down seperate the values according to the x-axis on the graphs. You will find that 6 people chose between 0 to 3, 4 people chose between 4 to 7, 3 people chose between 8 to 11 and 2 people chose between 12 to 15.

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3 years ago
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Evaluate 1/3y+8/15 when y=1/5
maks197457 [2]
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3 years ago
An electronics firm claims that the proportion of defective units of a certain process is 5%. A buyer has a standard procedure o
lesya692 [45]

Answer:

0.0006 = 0.06% probability of this occurrence

Step-by-step explanation:

For each unit, there are only two possible outcomes. Either it is defective, or it is not. The probability of an unit being defective is independent of any other unit, which means that the binomial probability distribution is used to solve this question.

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.

An electronics firm claims that the proportion of defective units of a certain process is 5%.

This means that p = 0.05

A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot.

This means that n = 15

a) What is the probability of this occurrence?

Probability of 5 defective items, whch is P(X = 5). So

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P(X = 5) = C_{15,5}.(0.05)^{5}.(0.95)^{10} = 0.0006

0.0006 = 0.06% probability of this occurrence

8 0
3 years ago
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