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zzz [600]
2 years ago
8

Three experts gave opinions on how long a task will take to finish. The estimates were 29, 10, and 12 days (in no particular ord

er). What is PERT estimate - ROUNDED
Mathematics
1 answer:
nirvana33 [79]2 years ago
7 0

Answer:

15

Step-by-step explanation:

PERT estimate is a measuring strategy that is based on a weighted average. It is used in measuring the uncertainty and risk via three estimates to determine an estimated likelihood for a project's cost or period of completion.

The formula is (O + 4M + P) ÷ 6

Where P is the most pessimistic = 29

M is the most likely = 12

O is the most optimistic = 10

Hence we have (10 + [4*12]+ 29) ÷ 6

= (10 + 48 + 29) ÷ 6

= 87÷6 = 14.5 ≈ 15

Rounded figure is equal to 15.

Hence the final answer to the question is 15

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Let $a_1$, $a_2$, . . . , $a_{10}$ be an arithmetic sequence. If $a_1 + a_3 + a_5 + a_7 + a_9 = 17$ and $a_2 + a_4 + a_6 + a_8 +
vfiekz [6]

So

a be first term and d be common difference

  • a+a+2d+a+4d+a+6d+a+9d=17
  • 5a+21d=17--(1)

And

  • a+d+a+3d+a+5d+a+7d+a+9d=15
  • 5a+25d=15--(2)

Eq(1)-Eq(2)

  • -4d=-2
  • d=1/2

Put in second one

  • 5a+25d=15
  • a+5d=3
  • a+5/2=15
  • a=15-5/2
  • a=25/2
7 0
2 years ago
as a member of a music club you can order CDs for $14.99 each. the music clib also charges $4.99 for each shipment the expressio
alina1380 [7]
14.99n + 4.99

If we ordered 3 CDS, we need to replace 3 for n. 

14.99(3) + 4.99 
44.97 + 4.99
49.96

Answer: $49.96
5 0
3 years ago
Read 2 more answers
Find an equation for the linear function which has y-intercept-2 and x-intercept 9. fx =
oksano4ka [1.4K]

Answer:

f(x) = -2x +9

Step-by-step explanation:

We can use the slope intercept form

y= mx +b where m is the slope and b is the y intercept

y = -2x +9

Replacing y with f(x)

f(x) = -2x +9

8 0
3 years ago
Read 2 more answers
Please help me!!!!!!​
enot [183]

Answer:

2

Step-by-step explanation:

rounded down

4 0
3 years ago
Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ < 55 A sample of 36 is used. Identify the p-value and state your con
Ket [755]

Answer:

Step-by-step explanation:

Given that:

H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55

(a) For x = 54 and s = 5.3

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }

Z = \dfrac{-1}{\dfrac{5.3}{6} }

Z = -1.132

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-1.132,35,1) = 0.1326

Decision: p-value is greater than significance level; do not reject \mathbf{H_o}

Conclusion: \  There  \ is \  insufficient \  evidence  \  to \  conclude \  that \ \mu < 55

b

For x = 53 and s = 4.6

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }

Z = \dfrac{-2}{\dfrac{4.6}{6} }

Z = -2.6087

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-2.6087,35,1) =0.0066

Decision: p-value is < significance level; we reject the null hypothesis.

Conclusion: \  There  \ is \  sufficient \  evidence  \  to \  conclude \  that \mu < 55

c)

For x = 56 and s = 5.0

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }

Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }

Z = 1.2

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(1.2,35,1) = 0.88009

Decision: p-value is greater than significance level; do not reject \mathbf{H_o}

Conclusion: \  There  \ is \  insufficient \  evidence  \  to \  conclude \  that \ \mu < 55

6 0
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