!!!Need an answer ASAP!!! A right triangle has a hypotenuse of 16 and a leg of 9. find the length of the other leg.

The expression 9/5C + 32, where C stands for the temperature in degrees Celsius, is used to convert Celsius to Fahrenheit. If th

Ira Lisetskai [31]

3 0

3 years ago

What is the image of A under the translation described by the translation rule (x, y)--->(x + 4, y - 10)?

Mademuasel [1]

Translation rule (x, y)--->(x + 4, y - 10)

Object A = (5, 6)

Apply rule:

(5, 6)---->(5 + 4, 6 - 10) = (9, -4)

Image A' = (9, -4)

Option 3: (9, -4) is the answer

6 0

2 years ago

Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $30,

REY [17]

Answer:

a) 217

b) 1351

c) 5403

Step-by-step explanation:

Given that:

confidence interval (c) = 0.95

$\alpha =1-0.95=0.05\\\frac{\alpha }{2} =\frac{0.05}{2}=0.025$

The Z score of $\frac{\alpha }{2}$ is from the z table is given as:

$Z_{\frac{\alpha }{2} }=Z_{0.025}=1.96$

Range = $45000 - $30000 = $15000

The standard deviation (σ) is given as:

$\sigma=\frac{Range}{4} =\frac{15000}{4}=3750$

Sample size (n) is given as:

$n=(\frac{Z_{\frac{\alpha}{2} }\sigma}{E} )^2$

a) E = $500

$n=(\frac{Z_{\frac{\alpha}{2} }\sigma}{E} )^2= (\frac{1.96*3750}{500} )^2$ ≈ 217

b) $n=(\frac{Z_{\frac{\alpha}{2} }\sigma}{E} )^2= (\frac{1.96*3750}{200} )^2$ ≈ 1351

c) $n=(\frac{Z_{\frac{\alpha}{2} }\sigma}{E} )^2= (\frac{1.96*3750}{100} )^2$ ≈ 5403

7 0

3 years ago

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For each set of probabilities, determine whether the events A and B are independent or dependent.

lozanna [386]

Answers:

(a) Independent
(b) Dependent
(c) Dependent
(d) Independent

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Explanation:

If events A and B are independent, then the two following equations must both be true

P(A | B) = P(A)
P(B | A) = P(B)

This is because the conditional probability P(A|B) means "P(A) when B has happened". If B were to happen, then P(A) must be the same as before. In other words, event B does not affect A, and vice versa.

For part (a), we have P(B) = 1/4 and P(B|A) = 1/4 showing that P(B|A) = P(B) is true, and therefore we can say the events are independent. We don't need the info that P(A) = 1/8.

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Unlike part (a), part (b) has the answer "dependent" because P(A) = 1/8 and P(A | B) = 1/3 differ in value. Event A starts off at probability 1/8, but then event B occurring means P(A) gets increased to 1/3. The prior knowledge about B changes the chances of A. The P(B) = 1/5 is unneeded.

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If A and B were independent, then,

P(A and B) = P(A)*P(B)

However,

P(A)*P(B) = (1/4)*(1/5) = 1/20

which is not the same as P(A and B) = 1/6. Therefore the two events are dependent.

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Refer back to part (a)

P(A) = 1/4 and P(A|B) = 1/4 are identical in value, so P(A|B) = P(A) which leads to the events being independent. Whether we know event B happened or not, it does not affect the outcome of event A. P(B) = 1/9 is unneeded.

7 0

2 years ago

If Melanie spins this spinner 1000 times, approximately how many times will it land on blue?

klemol [59]

Answer:

it would be 500

Step-by-step explanation:

since blue is covering 50% of the circle than the probability of it landing on blue is 50% and 50% of 1000 is 500

5 0

3 years ago

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