The length of a rectangle is 5 centimeters less than twice its width . the perimeter of the rectangle is 80 cm what are the dimensions of the rectangle

A length = 25cm; width = 15cm
B length = 22cm; width = 18cm
C length = 23cm; width = 14cm
D length = 24cm; width= 16cm

Answers

Answer 1
Answer:

B) is the answer because 22+22+18+18 will equal 80 and 22-18 is five


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34 packages are randomly selected from packages received by a parcel service. The sample has a mean weight of 25.9 pounds and a standard deviation of 3.8 pounds. What is the 95% confidence interval for the true mean weight, μ, of all packages received by the parcel service?24.6 < μ < 27.2

24.8 < μ < 27.0

24.2 < μ < 27.6

24.4 < μ < 27.4

Answers

The 95% confidence interval for the true mean weight, μ, of all packages received by the parcel service is;

Option A; 24.6 < μ < 27.2

We are given;

Sample mean; x' = 25.9 pounds

Standard deviation; σ = 3.8 pounds

Confidence level; CL = 95%

Sample size; n = 34

Now formula for confidence interval is;

CI = x' ± z( σ/√n)

Where z is critical value at given confidence level.

z at CL of 95% is; z = 1.96

Thus;

CI = 25.9 ± 1.96(3.8/√34)

CI = 25.9 ± 1.3

CI = (25.9 - 1.3), (25.9 + 1.3)

CI = (24.6, 27.2)

Read more at; brainly.com/question/12970960

Answer:

24.6 < μ < 27.2

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = (1-0.95)/(2) = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*(\sigma)/(√(n))

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96(3.8)/(√(34)) = 1.3

The lower end of the interval is the sample mean subtracted by M. So it is 25.9 - 1.3 = 24.6 pounds.

The upper end of the interval is the sample mean added to M. So it is 25.9 + 1.3 = 27.2 pounds.

So the correct answer is:

24.6 < μ < 27.2

Which of the following are considered skew lines?

Answers

the answer is AE and GH

What mixed number represents 2.85

Answers

First, take out the whole number portion, and solve the decimal part, which is 0.85. 0.85 = 85/100. So, the mixed number would be 2 85/100. However, most teachers want you to simplify your mixed numbers, so divide both numbers by a factor that you think is common. 5 is a common factor, so 85/5 = 17. 100/5 = 20. So, the answer is simplified to 2 17/20.
Hope that helped.
2 17/20  two and seventeen twentyieths

The results of a car race are shown. How much faster did Evans drive per lap than loza?

Answers

Evans finishes 42 laps in 96,6 mins and Loza finished 38 laps in 102,6 mins

Evans. 96,6÷42= 2,30 mins
Loza . 102,6÷38= 2,70 mins

2,70 mins - 2,30 mins
= 40 secs and Evan is faster with 40secs in each lap.

I need help on 1,2,3,and 4 please good luck

Answers

1. 2 inches
2. 1 inch
3. 1 inch and 3/4th
4. 2 inches and 1/4th

What number has the same value as 30 tens

Answers

Multiplication should be used here. 30 tens means number ten should beadded 30 times. 10+10+...+10 thirty times, which can be written as 10 x30 which gives us the number 300. We get the same answer if the value of10 thirties is required. We can use the same way to get the answer likethe question given in the begging.

The number that has the same value as 30 tens is 300.

To determine number that has the same value as 30 tens, we need to understand the "place-value" system. Tens represent second digit in a number, with each ten being worth 10 units.

Since we have 30 tens, we multiply 30 by 10 to find total value.

⇒ 30 × 10 = 300,

Therefore, the number that has the same value as 30 tens is 300. This means that 300 represents the quantity of 30 tens or 30 groups of 10, reflecting the concept of place value and multiplication by powers of 10.

Learn more about Number here

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