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3 years ago

Describe the transformation. (picture included)

Mathematics

2 answers:

Nata [24]3 years ago

5 0

<h2>reflection across the x axis so answer C</h2>

snow_lady [41]3 years ago

3 0

Hi! The correct answer is D because the shapes moved to a different quadrant across the x-axis.
It didn’t move down 2 units or get reflected across the y-axis, thus making D the only reasonable answer.
I hope I helped!

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In recent years more people have been working past the age of 65. In 2005, 27% of people aged 65–69 worked. A recent report from

Vinil7 [7]

Answer:

a) point estimate is 30%

b) null and alternative hypothesis would be

$H_{0}$ : p=27%

$H_{a}$ : p>27%

c) We reject the null hypothesis, percentage working people aged 65-69 had increased

Step-by-step explanation:

a. 

Point estimate would be the proportion of the working people aged 65–69 to the sample size and equals $\frac{180}{600}=0.3$ ie 30%

b.

Let p be the proportion of people aged 65–69 who is working. OECD claims that percentage working had increased. Then null and alternative hypothesis would be

$H_{0}$ : p=27%

$H_{a}$ : p>27%

c.

z-score of the sample proportion assuming null hypothesis is:

$\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of working people aged 65–69 (0.3)
p is the proportion assumed under null hypothesis. (0.27)
N is the sample size (600)

then z= $\frac{0.3-0.27}{\sqrt{\frac{0.27*0.73}{600} } }$ = 1.655

Since one tailed p value of 1.655 = 0.048 < 0.05, sample proportion is significantly different than the proportion assumed in null hypothesis. Therefore we reject the null hypothesis.

3 0

3 years ago

Read 2 more answers

What is the answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Alecsey [184]

Answer:

$1559.40

Step-by-step explanation:

1. Find the perimeter of the garden

$14\frac{2}{3} + 14\frac{2}{3} + 10\frac{1}{3} + 10\frac{1}{3} = 50 yd$

2. Convert to feet

1 yd = 3ft

50 x 3 = 150

50 yd = 150 ft

3. Divide by 2.5 to find out how many sections are needed

150/2.5 = 60 sections

4. Multiply by 25.99

60 x 25.99 = 1559.4

It will cost $1559.40

3 0

3 years ago

A manufacturer is studying the effects of cooking temperature, cooking time, and type of cooking oilfor making potato chips. Thr

Lera25 [3.4K]

Answer:

(a) The total number of combinations that can be applied for making potato chips is 36.

(b) The number of combinations that will be used for each type of oil is 12.

Step-by-step explanation:

The effects of cooking temperature, cooking time and cooking oil is studied for making potato chips.

The number of different temperatures applied is, n (T) = 3.

The number of different times taken is, n (t) = 4.

The number of different oils used is, n (O) = 3.

If an assignment can be done in n₁ ways and if for this assignment another assignment can be done in n₂ ways then these two assignments can be performed in (n₁ × n₂) ways.

(a)

Compute the total number of combinations that can be applied for making potato chips as follows:

Total number of combinations for making chips = n (T) × n (t) × n (O)

$=3\times4\times 3\\=36$

Thus, the total number of combinations that can be applied for making potato chips is 36.

(b)

To make potato chips 4 different temperatures are used and 3 different oils are used.

Each of the oil type is cooked in 4 different temperatures.

So the number of ways to select each oil type is,

n (T) × n (O) = $4\times3=12$

Thus, the number of combinations that will be used for each type of oil is 12.

(c)

Permutation is the arrangement of objects in a specified order.

Since in this case ordering of the the three effects, i.e. temperature. time and oil type is not important, permutations are not an issue.

8 0

3 years ago

Consider the line y = x . If the line is dilated by a factor of 1 3 , what is the equation of the resulting line? If the resulti

ella [17]

Answer:

The resulting equation after dilation: y=x.

The resulting equation after translation: y=x-1.

Step-by-step explanation:

The given equation of line

$y=x$

If a line passes through the center of dilation and dilated by factor k, then the equation of line is remains same.

It is given that the line is dilated by a factor of 1/3. The center of dilation is not given so the center of dilation is (0,0).

At x=0,

$y=0$

It means the line passes through the point (0,0). Since the line passes through the center of dilation, therefore the equation of line is remains same.

$y=x$

The translation is defined as

$y=x+b$