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defon
2 years ago
6

Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a translation.

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
5 0

Answer:

It’s a translation of two units down and one unit to the right.

Step-by-step explanation:

When looking at the original, or parent image, the individual points that meet the X axis are moved to units down or to the negative. The horizontal translation moves each point one unit to the right. Hope this helps!

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1What is 1-1(0)-55+67
saveliy_v [14]

Answer:

13

Step-by-step explanation:

Questions with multiple signs are solved using the rule of BODMAS. Which means, Bracket Of Division, Multiplication, Addition and Subtraction.

In the question, we have Bracket, Addition and Subtraction, and will be answered in that order

1-1(0)-55+67

1-0-55+67

1-0+(-55+67)

1-0+(12)

1+12

13

7 0
3 years ago
Write a number sentence to name the difference between point a and point b
oee [108]
A-b=c
one answer is
hihihihi
8 0
2 years ago
Which of the following inequalities has a solution x≥−3?(1 point)
andre [41]
The answer would be B
6 0
3 years ago
An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining.
jeka94

Answer:

The point estimate is 5,617.

The margin of error of a confidence interval for the difference between the two population means is 454.18386 .

The 98% confidence interval for the difference between the two population means is (5163, 6071).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.  

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Compound 1:

127 brakes, average brake life of 42,814 miles, population standard deviation of 1819 miles. This means that:

\mu_1 = 42814

s_1 = \frac{1819}{\sqrt{127}} = 161.41

Compound 2:

163 brakes, average brake life of 37,197 miles, population standard deviation of 1401 miles. This means that:

\mu_2 = 37197

s_2 = \frac{1401}{\sqrt{163}} = 109.73

Distribution of the difference:

\mu = \mu_1 - \mu_2 = 42814 - 37197 = 5617

The point estimate is 5,617.

s = \sqrt{s_1^2 + s_2^2} = \sqrt{161.41^2 + 109.73^2} = 195.18

Confidence interval

The confidence interval is:

\mu \pm zs

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is:

M = zs

98% confidence level

So \alpha = 0.02, z is the value of Z that has a p-value of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

Margin of error:

M = zs = 195.18*2.327 = 454.18386


The margin of error of a confidence interval for the difference between the two population means is 454.18386 .

For the confidence interval, as we round to the nearest whole number, we round it 454. So

The lower bound of the interval is:

\mu - zs = \mu - M = 5617 - 454 = 5163

The upper bound of the interval is:

\mu + zs = \mu + M = 5617 + 454 = 6071

The 98% confidence interval for the difference between the two population means is (5163, 6071).

3 0
3 years ago
Alexis baked 87 dozen brownies. How many brownies does she have
Anna [14]

Answer:

1,044

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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