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3 years ago

James has 165 centimeters of yarn left. How many inches does he have left?

Mathematics

2 answers:

nlexa [21]3 years ago

6 0

Answer:

64.96 inches

Step-by-step explanation:

this is because calculations excuse length value by dividing by 2.54

jonny [76]3 years ago

5 0

165/ 2.54 = 64.96 inches

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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

3 years ago

A company sells a container of mixed nuts that is 50% peanuts and another container that is 80% peanuts. How many cups of each m

Vlada [557]

Let n be the amount of 60% peanuts. Then the amount of 12% peanuts is 12-n. So:
.6n+.12(12-n)=.4(12)

.48n+1.44=4.8
.48n=3.36
n=7 cups 60% peanuts
12-n=5 cups 12% peanuts. ☺☺☺☺

4 0

3 years ago

In \triangle UVW,△UVW, \overline{UV}\cong \overline{WU}

irga5000 [103]

Answer:

Hi how are you doing today Jasmine

8 0

3 years ago

So I’m doing my homework and I don’t know 3 2/3 + 5/4

andrew11 [14]

What you do is:

Convert 3 2/3 into an improper fraction

Multiplying the whole number to the denominator, of which the total is added by the numerator

The denominator stays the same whilst the numerator is the new total = 11

So it'll be 11/3

Now you see that you must find the sum of 11/3 + 5/4

Find the LCM of both denominators, which 12, multiplying the amount needed to make them twelve to the numerators.

You then get:

44/12 + 15/12 = 59/12

59/12 --> 2 11/12

3 0

4 years ago

What value of c makes the equation -3c/4=24 true ?

Sonbull [250]

Creo que C es igual a -6

4 0

3 years ago

Read 2 more answers