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Leona [35]
2 years ago
14

find the size of each sample needed to estimate the difference between the proportions of boys and girls under 10 years old who

are afraid of spiders. Assume that we want a 95% confidence level and that the error is smaller than 0.03.
Mathematics
1 answer:
Alex Ar [27]2 years ago
6 0

Answer:

sample

Step-by-step explanation:

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Show that (a-b)/(√a-√b)=√a+√b for all values of a and b such that a> 0 and b> 0 and a≠b.
goldfiish [28.3K]

Answer:

Step-by-step explanation:

\frac{a-b}{\sqrt{a} -\sqrt{b}} =\sqrt{a} +\sqrt{b}\\or ~a-b=(\sqrt{a} +\sqrt{b})(\sqrt{a}  -\sqrt{b} )=(\sqrt{a} )^2-(\sqrt{b} )^2 =a-b

3 0
3 years ago
Read 2 more answers
Six students measure the acceleration (in meters per second per second) of object in free fall. The measured values are shown. T
Sunny_sXe [5.5K]
The measured data is
x=[10.56, 9.52, 9.73, 9.80, 9.78, 10.91].

Calculate the mean.
m = (10.56+9.52+9.73+9.80+9.78+10.91)/6 = 10.05

Calculate the deviations from the mean.
k = x - m
   = [0.51, -0.53, -0.32, -0.25, -0.27, 0.86]

Calculate the absolute deviation from the mean.
d= \frac{1}{6} | (0.51-0.53-0.32-0.25-0.27+0.86) | = |1.184\times10^{-15}| \approx 0

Answer: 0

6 0
3 years ago
URGENT!!! 50 POINTS!!! URGENT!!!!!!! Consider the polynomial functions P (x) and Q (x)​ , where neither polynomial is a constant
Nutka1998 [239]

Answer:

Always

Always

Sometimes

Never

Step-by-step explanation:

P(X) + Q(X)

Sum of two polynomials is always a polynomial.

For example, Let P(x) = 3x² and Q(x) = 5x

$ \implies P(x) + Q(x) = 3x² + 5x

This is again a polynomial.

In other words, we can say that Polynomial is closed under addition.

P(x) . Q(x)

Product of two polynomials is again a polynomial.

Let P(x) = 2x and Q(x) = a constant function, 5

Then the product = 10x, is again a polynomial.

Multiplication of two polynomials is closed.

P(x) / Q(x)

This need not always be a polynomial. When Q(x) = a constant function zero, i.e., Q(x) = 0, then the function is not defined.

But let's say P(x) = 5x² and Q(x) = x.

$ \frac{P(x)}{Q(x)} $ = $ \frac{5x^2}{x} $ = 5x, a polynomial.

So, $ \frac{P(x)}{Q(x)} $ is a polynomial sometimes.

We can, say Division is not always closed.

1/Q(x)

This could never be a polynomial. This is not even in the form of a polynomial. So, $ \frac{1}{Q(x)} $ is never a polynomial.

Hence, the answer.

7 0
2 years ago
2. John and Jen went to the farmers market to buy fruit. John bought 3 boxes of oranges and 9 boxes of cherries for $78. Jen bou
jenyasd209 [6]

Answer:

Let the cost of orange be X and cost of cherry be y

3x + 9y = 78

8x + 4y = 58

Solving equation using elimination method

multiplying eq 1 with 8 and eq 2 with 3

8(3x + 9y ) = 78(8)

3( 8x + 4y) = 3(58)

24x + 72 y = 624

24x + 12y = 174

subtracting,

60 y = 450

y = 7.5

3x + 9(7.5) = 78

3x + 67.5 = 78

3x = 78 - 67.5

3x = 10.5

x = 3.5

<h2>Box of orange = $3.5 </h2><h2>Box of cherry = $7.5</h2>
7 0
1 year ago
The mechanic charges $90 for a vehicle inspection plus an additional $35 per hour. If the mechanic works for 8 hours, what will
kvasek [131]

Answer:

$370

Step-by-step explanation:

You already have 90 dollars so we can put that to the side for right now

If you're charged $35 at an hourly rate for 8 hours then you have to multiply the two together

30 x 8 = 240

5 x 8=40

240 + 40=280

Now is when your $90 dollars comes in. Now just add the two together and you'll end up with your final answer

280+90=370

6 0
3 years ago
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