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Verizon [17]
3 years ago
9

The perimeter of a rectangular window is 2626 feet. The width of the window is 33 feet more than the length. What are the dimens

ions of the​ window?
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
8 0
Alright, if the width is w and the length is l, 
l+33=w
2w+2l=2626.
Substituting w for l+33, we get 2(l+33)+2l=2626 and 2l+66+2l=2626 using the distributive property. Next, we get 4l+66=2626 and subtracting 66 from both sides, we get 4l=2560. Dividing by 4, we get 640=l and since w=33+l , w=673
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Jim bought a fishing rod for $42. This price was 70% of the original price. What was the original price?
Dmitry [639]

Answer:

54.6

Step-by-step explanation:

42 =  70%

100% - 70% = .30%

42 x 1.3 = 54.6

 

5 0
3 years ago
Lifetime of $1 Bills The average lifetime of circulated $1 bills is 18 months. A researcher believes that the average lifetime i
OLEGan [10]
<h2>Answer with explanation:</h2>

Let \mu be the population mean lifetime of circulated $1 bills.

By considering the given information , we have :-

H_0:\mu=18\\\\H_a:\mu\neq18

Since the alternative hypotheses is two tailed so the test is a two tailed test.

We assume that the lifetime of circulated $1 bills is normally distributed.

Given : Sample size :  n=50 , which is greater than 30 .

It means the sample is large so we use z-test.

Sample mean : \overline{x}=18.8

Standard deviation : \sigma=2.8

Test statistic for population mean :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

\Rightarrow\ z=\dfrac{18.8-18}{\dfrac{2.8}{\sqrt{50}}}\approx2.02

The p-value= 2P(z>2.02)=0.0433834

Since the p-value (0.0433834) is greater than the significance level (0.02) , so we do not reject the null hypothesis.

Hence, we conclude that we do not have enough evidence to support the alternative hypothesis that the average lifetime of a circulated $1 bill differs from 18 months.

6 0
3 years ago
Please help me on this question
Alina [70]

Answer:

DE = 13.4 cm  (to 1 decimal place)

Step-by-step explanation:

Given: ABCD is a square

BC = AC = 12 cm    (opposite sides of a square are congruent)

E is midpoint of BC   (given)

BE = EC  = 12/2 = 6 cm

CD = AB = 12 cm   (opposite sides of a square are congruent)

angle ECD is a right angle (interior angles of a square are 90 deg.)

Consider right triangle ECD

DE = sqrt(EC^2+CD^2)    ............. pythagorean theorem

= sqrt(6^2+12^2)

= sqrt ( 36+144 )

= sqrt (180)

= 2 sqrt(45)

= 13.416 (to three dec. places)

8 0
2 years ago
Read 2 more answers
Pete wants to make turkey sandwiches for tow friends and himself.He wants each sandwich to contain 3.5 ounces of turkey.How many
Igoryamba

Pete needs 10.5 ounces of turkey.

Step-by-step explanation:

Given,

Number of friends = 2

One for Pete.

Total sandwiches to be made = 2+1 = 3

Quantity of turkey in one sandwiches = 3.5 ounces

For finding the quantity of turkey for three sandwiches, we will multiply.

Turkey for 3 sandwiches = 3*3.5 = 10.5 ounces

Pete needs 10.5 ounces of turkey.

Keywords: multiplication, addition

Learn more about addition at:

  • brainly.com/question/10629017
  • brainly.com/question/106300

#LearnwithBrainly

8 0
2 years ago
The equation below represents Function A and the graph represents Function B.
sveticcg [70]
Function A has a negative slope, and Function B has a positive slope. But they still have the same slope. So the answer would be D.
6 0
3 years ago
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