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lisov135 [29]
3 years ago
9

Please help with this question.

Mathematics
1 answer:
Rzqust [24]3 years ago
4 0
(cos Ф -cos Ф)² + (cos Ф + cos Ф)²

Firstly: (cos Ф -cos Ф)² = 0² = 0

Secondly :(cos Ф + cos Ф)² = (2cos Ф)². = 4. (cos Ф)² = 4cos² Ф

Mind you when you raise a cosine (or sin or tan...) to the n power, the n power should affect the cosine only and NOT the angle Ф

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An SRS of 27 students at UH gave an average height of 5.6 feet and a standard deviation of .1 feet.Construct a 90% confidence in
Juliette [100K]

Answer:

Option a) [5.567, 5.633]                

Step-by-step explanation:

We are given the following in the question:  

Sample mean, \bar{x} = 5.6 feet

Sample size, n = 27

Alpha, α = 0.10

Sample standard deviation, s = 0 .1 feet

90% Confidence interval:  

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

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 26 and}~\alpha_{0.10} = \pm 1.7056  

5.6 \pm 1.7056(\displaystyle\frac{0.1}{\sqrt{27}} ) = 5.6 \pm 0.0328 = (5.5672 ,5.6328) \approx (5.567,5.633)  

Option a) [5.567, 5.633]

7 0
3 years ago
Help my homework pls!!!!!!​
Hitman42 [59]

Answer:

(2x^2 + x-3)/(4x^2-9)

Step-by-step explanation:

The denominator looks like an expression in which we have applied the difference of two squares to

In that case, we know that;

a^2-b^2 = (a-b)(a+ b)

That means we would be have 2x + 3 as the other denominator factor and the expression at the denominator would be;

(2x + 3)(2x-3) = 4x^2 - 9

Also, we would have to cancel out 2x + 3 from the numerator too, so as to be left with only the binomial

That means;

(2x+3)(x-1) = 2x^2-2x+ 3x - 3 = 2x^2+x -3

So we have the original expression as;

(2x^2 + x-3)/(4x^2-9)

4 0
3 years ago
A photo with a length of 4 inches and a width of 6 inches is enlarged to fit in a large picture frame. The photo and the enlarge
Ivenika [448]

Answer:

21 inches

Step-by-step explanation:

to get from 4 to 14 you multiply by 3.5 so you multiply 6 by 3.5 to get 21

8 0
3 years ago
Find the amount of money accumulated if you invested $25,000 at 4.3% interest for 8 years compounded continuously .
MArishka [77]

The appropriate formula for the accumulated amount (A) for a given principal (P), interest rate (r), and time period (t) is ...

... A = P·e^(rt)

Filling in the given numbers and doing the arithmetic, we get

... A = $25,000·e^(.043·8) ≈ $35,264.46

8 0
3 years ago
Austin has $5 more than Mark. If Mark has Δ dollars, write an expression for the amount of money Austin has.
pickupchik [31]
 Let x be Mark's dollars... x + 5 = Austin's dollars....Brainliest?....
6 0
3 years ago
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