Classify the following triangle as acute, obtuse, or right.<br>

A person recently read that 84% of cat owners are women. How large a sample should the researcher take if she wishes to be 90% c

Lana71 [14]

Answer:

405

Step-by-step explanation:

To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.

$n=\frac{(z_{\frac{\alpha }{2} })^{2} *p*q }{E^2}$

The values that are given are p = 0.84 and E = 0.03.

You can solve for the critical value which is equal to the z-score of (1 - confidence level)/2. Use the calculator function of invNorm to find the z-score. The value will given with a negative sign, but you can ignore that.

(1 - 0.9) = 0.1/2 = 0.05

invNorm(0.05, 0, 1) = 1.645

You can also solve for q which is 1 - p. For this problem q = 1 - 0.84 = 0.16

Plug the values into the equation and solve for n.

$n =\frac{(1.645)^2*0.84*0.16}{(0.03)^2}\\n= 404.0997333$

Round up to the next number, giving you 405.

6 0

3 years ago

Given: the function defined by f(x)=3x^2-4 Which statement is true? 1. f(0) = 0 2. f(-2) = f(2) 3. f(5)+ f(2) = f(7) 4. f(5) x f

sergeinik [125]

$f(x)=3x^2-4 \\ \Downarrow \\ f(0)=3 \times 0^2-4=0-4=-4 \\ -4 \not= 0 \\ f(0) \not= 0 \\
\hbox{statement 1 is false} \\ \\
f(-2)=3 \times (-2)^2-4 =3 \times 4-4=12-4=8 \\
f(2)=3 \times 2^2-4=3 \times 4-4=12-4=8 \\ 8=8
\\ f(-2)=f(2) \\
\hbox{statement 2 is true}$

$f(5)=3 \times 5^2-4=3 \times 25-4=75-4=71 \\ f(2)=8 \\
f(7)=3 \times 7^2-4=3 \times 49-4=147-4=143 \\
71+8 \not= 143 \\
f(5)+f(2) \not= f(7) \\ \hbox{statement 3 is false} \\ \\
f(5)=71 \\ f(2)=8 \\ f(10)=3 \times 10^2-4=3 \times 100-4=300-4=296 \\
71 \times 8 \not= 296 \\
f(5) \times f(2) \not= f(10) \\
\hbox{statement 4 is false}$

Stamement 2. f(-2)=f(2) is true.

3 0

3 years ago

What polynomial should be subtracted from the polynomial y^2–5y+1 to get the difference equal to: 5

monitta

Answer:

y^2 - 5y - 4

Step-by-step explanation:

So you want f(y) such that

(y^2-5y+1) - f(y) = 5

Subtract both sides by (y^2-5y+1):

-f(y) = 5 - (y^2-5y+1)

-f(y) = -y^2 + 5y + 4

f(y) = y^2 - 5y - 4

So the polynomial you are looking for is y^2 - 5y - 4

5 0

3 years ago

Esther ate seven less than six times as many jelly beans as Jake. Esther ate 77 jelly beans. How many jelly beans did Jake eat?

anygoal [31]

462 should be correct sorry if not

4 0

3 years ago

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Substitute x with (-2) and y with (-4)<br> Simplify: 5(41 - x) + {-7(y + x)} =

Gnesinka [82]

Answer:

257

Step-by-step explanation:

5(41-(-2))+{-7(-4-2)}

5(41+2)+{-7(-6)}

5(43)+(42)

215+42

257

4 0

3 years ago

Read 2 more answers

Classify the following triangle as acute, obtuse, or right.​

Classify the following triangle as acute, obtuse, or right.