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solniwko [45]
4 years ago
14

Let X denote the proportion of employees at a large firm who will choose to be covered under the firm’s medical plan, and let Y

denote the proportion who will choose to be covered under both the firm’s medical and dental plans.
Suppose that for 0 \leq y \leq x \leq 1, X and Y have the joint cumulative distribution function
F(x,y) = y(x2 + xy - y2)
Calculate the expected proportion of employees who will choose to be covered under both plans.

Mathematics
1 answer:
zubka84 [21]4 years ago
4 0

Answer:

The expected proportion of employees who will choose to be covered under both plans is 0.714

Step-by-step explanation:

Please see attachment

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90-51=39
9*5-6= 39
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Can someone help me with this question ? Show steps please
jek_recluse [69]

Answer:

B) \boxed{A_T=108\;in^2}

Step-by-step explanation:

That is a triangular prism and thus, it has two bases that are triangles, in this case, right triangles, whose hypotenuse is 5 in. long and one of its legs is 4 in. and the other one, 3 in.

The first step is to find the area of both bases like this:

A_B=2\left(\dfrac{b\cdot h}{2}\right)=b\cdot h=4\cdot 3\\\\ \boxed{A_B=12\;in^2}

The second step is to get the lateral area, which is compound of three rectangles, hence the process is the following:

A_L=b_1\cdot h_1+b_2\cdot h_2+b_3\cdot h_3\\A_L=8\cdot3+8\cdot4+8\cdot5\\A_L=24+32+40\\\boxed{A_L=96\;in^2}

Finally, we sum both of the areas found to calculate the total area.

A_T=A_B+A_L\\A_T=12+96\\\boxed{A_T=108\;in^2}

So, the answer is option B).

4 0
3 years ago
$250, 2.85%, 3 years
Lerok [7]
So then what is the question?
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PLEASE PLEASE PLEASE HELP ME
lubasha [3.4K]

Answer:

CE = 17

Step-by-step explanation:

∵ m∠D = 90

∵ DK ⊥ CE

∴ m∠KDE = m∠KCD⇒Complement angles to angle CDK

In the two Δ KDE and KCD:

∵ m∠KDE = m∠KCD

∵ m∠DKE = m∠CKD

∵ DK is a common side

∴ Δ KDE is similar to ΔKCD

∴ \frac{KD}{KC}=\frac{DE}{CD}=\frac{KE}{KD}

∵ DE : CD = 5 : 3

∴ \frac{KD}{KC}=\frac{5}{3}

∴ KD = 5/3 KC

∵ KE = KC + 8

∵ \frac{KE}{KD}=\frac{5}{3}

∴ \frac{KC+8}{\frac{5}{3}KC }=\frac{5}{3}

∴ KC + 8 = \frac{25}{9}KC

∴ \frac{25}{9}KC - KC=8

∴ \frac{16}{9}KC=8

∴ KC = (8 × 9) ÷ 16 = 4.5

∴ KE = 8 + 4.5 = 12.5

∴ CE = 12.5 + 4.5 = 17

7 0
3 years ago
The test statistic of z equals negative 1.37 is obtained when testing the claim that p equals1 divided by 4. a. Using a signific
spin [16.1K]

Answer: a) critical value = 0.0853, b) we reject the null hypothesis.

Step-by-step explanation:

Since we have given that

z = -1.37

And the hypothesis are given below:

H_0:p=\dfrac{1}{4}=0.25\\\\H_1:p\neq 0.25

Since α = 0.01

since critical value = 0.0853

As we can see that 0.853 < 0.25.

so, we reject the null hypothesis.

Hence, a) critical value = 0.0853, b) we reject the null hypothesis.

6 0
3 years ago
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