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Soloha48 [4]
3 years ago
15

Triangle XYZ is reflected about the y-axis. What are the coordinates of X'?

Mathematics
1 answer:
ladessa [460]3 years ago
5 0

Answer:

your answer has been attached

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A rectangular exercise mat has a perimeter of 36 feet . The length mat is twice the width. Write and solve an equation to determ
Goshia [24]
ANSWER

72 square feet

EXPLANATION

The perimeter of a rectangle is given by:

P= 2l+2w

It was given that, the perimeter of the rectangular mat, is 36 feet.

36= 2l+2w

Divide through by 2.

18 = l + w...(1)

It was given also that, the length of the mat is twice its width.

This implies that,

l = 2w ...(2)

Put equation (2) into equation (1) to get,

18 = 2w + w

18 = 3w

w = 6 \: ft

This means that the length is 12 ft.

The area of the rectangular mat is

A = l \times w

A = 6 \times 12 = 72 {ft}^{2}
4 0
4 years ago
A production process fills containers by weight. Weights of containers are approximately normally distributed. Historically, the
forsale [732]

Answer:

option (c) n = 201

Step-by-step explanation:

Data provided in the question:

Standard deviation, s = 5.5 ounce

Confidence level = 99%

Length of confidence interval = 2 ounces

Therefore,

margin of error, E = (Length of confidence interval ) ÷ 2

= 2 ÷ 2

= 1 ounce

Now,

E = \frac{zs}{\sqrt n}

here,

z = 2.58 for 99% confidence interval

n = sample size

thus,

1 = \frac{2.58\times5.5}{\sqrt n}

or

n = (2.58 × 5.5)²

or

n = 201.3561 ≈ 201

Hence,

option (c) n = 201

5 0
3 years ago
When you multiply a function by -1 what is the effect on its graph?
vlada-n [284]

Answer:

Step-by-step explanation:

Depends on what you mean by multiplying by - 1.  I assume you are not going to multiply the y or f(x) term by - 1.

If that is so, take an example. Suppose you have a graph that is y=x^2

That's a parabola that opens upwards and it has a line going through its focus which is a point on the +y axis.

When you multiply the right hand side by - 1, the graph you get will be y = - x^2.

That opens downward and the focus is on the - y axis.

That means that the effect of the graph is that it flips over the x axis, which I think is the third answer.

5 0
3 years ago
Mr White can travel for 6 hours while taking 3 breaks of 10 minutes each. Once, he had to travel for 36 hours. How many minutes
alexgriva [62]

180 min

Explanation:

3 × 10 min = 30 min

In 6 hours, Mr. White takes a total of  30 min  in breaks.

36 h = 6 h × 6  

In  36 hours , there are  6  sets of  6 h .

Hence we can multiply the number of minutes in breaks taken in  

6 h ours by  6  to obtain the number of minutes in breaks taken in  36 h ours.  

30 min × 6 = 180 min

5 0
3 years ago
The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either
kifflom [539]

Hey there,

To solve this problem, let us first define what is mean and median. Mean is the average of all the numbers in the data set while the median is the number in the middle of the data set in ascending order. If we create a box plot for the data of Rome and New York, we can see that there is an outlier in the data for New York. Since New York has an outlier, so the mean is not a good representation on the central tendency of the data. The mean is skewed (distorted) by the outlier. So in this case it is better to use the median. While the Rome data is nice and symmetrical, it does not seem to have an outlier,  so we can use the mean for this data set.

Therefore the answer is:

The Rome data center is best described by the mean. The New York data center is best described by the median

Hoped I Helped

6 0
4 years ago
Read 2 more answers
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