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AleksAgata [21]
3 years ago
11

Solve by factoring. x2 - 49 = 0

Mathematics
1 answer:
Gelneren [198K]3 years ago
6 0
Remember
difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)

(x)^2-(7)^2=(x-7)(x+7)

set to zero
x-7=0
x=7

x+7=0
x=-7

x=-7 or 7
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The distance between 4 and 7 is : 3

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The water of a tank is initially 24 feet, and it is being
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According to the article "Fatigue Testing of Condoms" (Polymer Testing, 2009: 567–571), "tests currently used for condoms are su
daser333 [38]

Answer:

99% Confidence interval:  (1196,1973)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 20

Mean, μ = 1584

Standard Deviation, σ = 607

99% Confidence interval:  

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 19 and}~\alpha_{0.01} = \pm 2.86  

1584 \pm 2.86(\dfrac{607}{\sqrt{20}} )\\\\ = 1584 \pm 388.18\\ = (1195.82 ,1972.18)\\ \approx (1196,1973)

Thus, there is a 99% chance that it will break in approximately 1196 to 1972

6 0
3 years ago
What number is 45% of 60, as well as 8 is 0.5% of what number?
JulsSmile [24]
Hi!

We can set up proportions to solve these.

1. \frac{x}{60}  \frac{45}{100}

2. \frac{8}{x}  \frac{0.5}{100}

Cross multiply to solve for x

1. 60 x 45 = 2700
2700/100 = 27

2. 8 x 100 = 800
800/0.5 = 1600
(Tip: dividing by 0.5 is the same as multiplying by 2)

The answers are
1. 27
And
2. 1600

Hope this helps! :)




7 0
3 years ago
I need help with this, I know the total would equal 100% but I don’t know what to do...
Sauron [17]

Answer:

320

Step-by-step explanation:

1. Divide the 20 by % (20 / 5)

2. Take that number (People per percent) and multiply x 80.

7 0
3 years ago
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