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4 years ago

Prove abcd is a parallelogram

Mathematics

2 answers:

NARA [144]4 years ago

8 0

The longer sides are slanting and the shorter sides arent

lawyer [7]4 years ago

3 0

AD and BC slant while AB and DC are parallel

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A 2003 survey showed that 14 out of 250 Americans surveyed had suffered some kind of identity theft in the past 12 months. What

ivann1987 [24]

Answer:

The lower confidence limit of the 95% confidence interval for the population proportion of Americans who were victims of identity theft is 0.0275.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

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

A 2003 survey showed that 14 out of 250 Americans surveyed had suffered some kind of identity theft in the past 12 months.

This means that $n = 250, \pi = \frac{14}{250} = 0.056$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a p-value of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.056 - 1.96\sqrt{\frac{0.056*0.944}{250}} = 0.0275$

The lower confidence limit of the 95% confidence interval for the population proportion of Americans who were victims of identity theft is 0.0275.

5 0

3 years ago

A delivery truck is transporting boxes of two sizes : large and small. The large boxes weigh 45 pounds each, and the small boxes

s344n2d4d5 [400]

Answer:

we have 60 large boxes and 50 small boxes.

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

Let x = number of large boxes

y = number of small boxes

Now, "There are 110 boxes in all" means x + y = 110

Now, the pounds for each kind of box is:

(pounds per box)*(number of boxes)

pounds for large boxes + pounds for small boxes = 4200pounds

"the truck is carrying a total of 4200 pounds in boxes"

(45)*(x) + (30)*(y) = 4200

Now, Solve for one of the variables in the first equation then replace (substitute) the expression for that variable in the second. Let's solve for x:

x = 110 - y [from eq1]

45(110-y) + 30y = 4200 [from eq2]

4950 - 45y + 30y= 4200 [distribute]

4950 - 15y = 4200

-15y = -750

y = 50 [divide both sides by (-15)]

There are 50 small boxes.

Put that value into either equation (now, which is easier?) to solve for x:

x = 110 - y

x = 110 - 50

x = 60

There are 60 large boxes.

Now, let's verify our solution:

Is 60+50= 110 ? [eq1]

110 = 110 ? yes!

Is 60(45) + 50(30) = 4125 ?

2700 + 1500 = 4200 ?

4200 = 4200 ? yes

So we have 60 large boxes and 50 small boxes.

6 0

3 years ago

Read 2 more answers

How do you solve literal equations

Mnenie [13.5K]

<span>See examples before for the method to solving literal equations for a given variable: Solve A = bh for b. Since h is multiplied times b, you must divide both sides by h in order to isolate b. Since (c+d) is divided by 2, you must first multiply both sides of the equation by 2. my own words didnt get off google im a teacher</span>

6 0

3 years ago

74 rounded to the nearest whole number

ozzi

The answer is 70 . if it is 75 or higher then it wold be rounded to 80

5 0

3 years ago

Kennedy is making chicken noodle soup for her little brothers she has three cans that have a radius of 2 inches in height of 6 i

lozanna [386]

Answer:

226.08 in^3

Step-by-step explanation:

volume of a cylinder = nr^2h

3.14 x 2^2 x 6 = 75.36 in^3

75.36 x 3 = 226.08

3 0

3 years ago