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3 years ago

Suppose s varies directly with t. When t27, s=3. What is s when t=632

Mathematics

2 answers:

jekas [21]3 years ago

8 0

Answer:

G 7

Step-by-step explanation:

If t= 27 when s=3 27/3=9

the t=63 when s= 7 63/7= 9

zvonat [6]3 years ago

4 0

Answer:

Step-by-step explanation:

Given that s varies directly with t then the equation relating them is

s = kt ← k is the constant of variation

To find k use the condition when t = 27, s = 3 , then

3 = 27k ( divide both sides by 27 )

$\frac{3}{27}$ = k, that is

k = $\frac{1}{9}$

s = $\frac{1}{9}$ t ← equation of variation

When t = 63, then

s = $\frac{1}{9}$ × 63 = 7 → G

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Suppose approximately 75% of all marketing personnel are extroverts, whereas about 70% of all computer programmers are introvert

Setler [38]

Answer:

$P(x \ge 5) = 1.000$ ---- At least 5 from marketing departments are extroverts

$P(x=15) = 0.013$ ---- All from marketing departments are extroverts

$P(x = 0) = 0.002$ ---------- None from computer programmers are introverts

Step-by-step explanation:

See comment for complete question

The question is an illustration of binomial probability where

$P(x) = ^nC_x * p^x * (1 - p)^{n-x}$

$(a):\ P(x \ge 5)$

$n = 15$ --- marketing personnel

$p = 75\%$ --- proportion that are extroverts

Using the complement rule, we have:

$P(x \ge 5) = 1 - P(x < 5)$

So, we have:

$P(x < 5) =P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)$

$P(x = 0) = ^{15}C_{0} * (75\%)^0 * (1 - 75\%)^{15 - 0} = 1 * 1 * (0.25)^{15} = 9.31 * 10^{-10}$

$P(x = 1) = ^{15}C_{1} * (75\%)^1 * (1 - 75\%)^{15 - 1} = 15* (0.75)^1 * (0.25)^{14} = 4.19 * 10^{-8}$

$P(x = 2) = ^{15}C_{2} * (75\%)^2 * (1 - 75\%)^{15 - 2} = 105* (0.75)^2 * (0.25)^{13} = 8.80 * 10^{-7}$

$P(x = 3) = ^{15}C_{3} * (75\%)^3 * (1 - 75\%)^{15 - 3} = 455* (0.75)^2 * (0.25)^{12} = 0.0000153$

$P(x = 4) = ^{15}C_{4} * (75\%)^4 * (1 - 75\%)^{15 - 4} = 1365 * (0.75)^4 * (0.25)^{11} = 0.000103$

So, we have:

$P(x < 5) = (9.31 * 10^{-10}) + (4.19 * 10^{-8}) + (8.80 * 10^{-7}) + 0.0000153 + 0.000103$

$P(x < 5) = 0.00011922283$

Recall that:

$P(x \ge 5) = 1 - P(x < 5)$

$P(x \ge 5) = 1 - 0.00011922283$

$P(x \ge 5) = 0.9998$

$P(x \ge 5) = 1.000$ --- approximated

$(b)\ P(x = 15)$

$n = 15$ --- marketing personnel

$p = 75\%$ --- proportion that are extroverts

So, we have:

$P(x) = ^nC_x * p^x * (1 - p)^{n-x}$

$P(x=15) = ^{15}C_{15} * 0.75^{15} * (1 - 0.75)^{15-15}$

$P(x=15) = 1 * 0.75^{15} * (0.25)^{0$

$P(x=15) = 0.013$

$(c)\ P(x = 0)$

$n=5$ ---------- computer programmers

$p = 70\%$ --- proportion that are introverts

So, we have:

$P(x) = ^nC_x * p^x * (1 - p)^{n-x}$

$P(x = 0) = ^{5}C_0 * (70\%)^0 * (1 - 70\%)^{5-0}$

$P(x = 0) = 1 * 1 * (0.30)^5$

$P(x = 0) = 0.002$

3 0

2 years ago

(2x2 3+2)x(4x2 3-1/2)

Travka [436]

Answer:

85.5

Step-by-step explanation:

6 0

2 years ago

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Jobisdone [24]

Answer:

He can spend $118.50 each day

Step-by-step explanation:

1000 - 348.25 = 651.75

651.75 / 5.5 = 118.5

4 0

3 years ago

The temperature dropped 12F in 8 hours .if the final temperature was -7,what was the starting temperature

bekas [8.4K]

Just add 12 to -7, -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12

6 0

3 years ago

The diameter of the circle above is 22 cm. What is the circumference of the circle? (Use = 3.14.)

postnew [5]

Answer:

69.08cm

Step-by-step explanation:

The formula for the circumference is

pi times diameter=circumference

Since we are using 3.14 and we know the diameter we can plug that in

3.14 times 22= circumference

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3 years ago