What shows a perfect square trinomial?

Wayne is hanging a string of lights 58 feet long around the three sides of his patio, which is adjacent to his house. The length

podryga [215]

Answer:

The length of the patio is 32 ft and the width is 13 ft

Step-by-step explanation:

see the attached figure to better understand the problem

Let

L ----> the length of his patio

W ---> the width of his patio

we know that

$L+2W=58$ ----> equation A

$L=2W+6$ ----> equation B

substitute equation B in equation A and solve for W

$2W+6+2W=58$

$4W+6=58$

$4W=58-6$

$4W=52$

$W=13\ ft$

Find the value of L

$L=2W+6$ ----> $L=2(13)+6=32\ ft$

therefore

The length of the patio is 32 ft and the width is 13 ft

3 0

3 years ago

I really need help pls helppp meee

zhenek [66]

Answer:

2.50t + 350 = 3t + 225

Step-by-step explanation:

Let t represent the number of tickets that each class needs to sell so that the total amount raised is the same for both classes.

One class is selling tickets for $2.50 each and has already raised $350. This means that the total amount that would be raised from selling t tickets is

2.5t + 350

The other class is selling tickets for $3.00 each and has already raised $225. This means that the total amount that would be raised from selling t tickets is

3t + 225

Therefore, for the total costs to be the same, the number of tickets would be

2.5t + 350 = 3t + 225

8 0

2 years ago

Read 2 more answers

g A psychic was tested for extrasensory perception (ESP). The psychic was presented with cards face down and asked to determine

diamong [38]

Answer:

Step-by-step explanation:

Hello!

The objective is to test ESP, for this, a psychic was presented with cards face down and asked to determine if each of the cards was one of four symbols: a star, cross, circle, square.

Be X: number of times the psychic identifies the symbols on the cards correctly is a size n sample.

p the probability that the psychic identified the symbol on the cards correctly

You have to calculate the sample size n to estimate the proportion with a confidence level of 95% and a margin of error of d=0.01

The CI for the population proportion is constructed "sample proportion" ± "margin of error" Symbolically:

p' ± $Z_{1-\alpha /2} * (\sqrt{\frac{p'(1-p')}{n} } )$

Where $d= Z_{1-\alpha /2} * (\sqrt{\frac{p'(1-p')}{n} } )$ is the margin of error. As you can see, the formula contains the sample proportion (it is normally symbolized p-hat, in this explanation I'll continue to symbolize it p'), you have to do the following consideration:

Every time the psychic has to identify a card he can make two choices:

"Success" he identifies the card correctly

"Failure" he does not identify the card correctly

If we assume that each symbol has the same probability of being chosen at random P(star)=P(cross)=P(circle)=P(square)= 1/4= 0.25

Let's say, for example, that the card has the star symbol.

The probability of identifying it correctly will be P(success)= P(star)= 1/4= 0.25

And the probability of not identifying it correctly will be P(failure)= P(cross) + P(circle) + P(square)= 1/4 + 1/4 + 1/4= 3/4= 0.75

So for this experiment, we'll assume the "worst case scenario" and use p'= 1/4 as the estimated probability of the psychic identifying the symbol on the card correctly.

The value of Z will be $Z_{1-\alpha /2}= Z_{0.975}= 1.96$