Answer:
(a) All three languages - 9
(b) Indonesian only - 10
(c) none of the languages - 12
(d) At least one language - 168
(e) Either one or two of the three languages - 159
Step-by-step explanation:
The question require the knowledge of Set theory and its Formulas.
Total pupils = 180
French (Let F) = 110
German (Let G) = 88
Indonesian (Let I) = 65
French and German (F intersection G) = 40
German and Indonesian (G intersection I) = 38
French and Indonesian (F intersection I) = 26
German only = 19
(a) All three languages
We are given only German speaking people are 19
Only German = n(G) - n( F intersection G) - n(G intersection I) + n(F intersection G intersection I)
19 = 88 - 40-38 + n(G intersection I) + n(F intersection G intersection I)
n(G intersection I) + n(F intersection G intersection I) = 9
n(G intersection I) + n(F intersection G intersection I) represents the number of pupils speaking who study all the three languages.
(b)Indonesian only
n( I) - n(G intersection I) + n(F intersection I) + n(G intersection I) + n(F intersection G intersection I)
65 - 38 - 26 + 9 = 10
So 10 pupils speak Indonesian only
(c)none of the languages
It will be equal to Total - pupils speaking any of the three languages
Any of the three languages = (F union G union I)
= n(F) +n(G) + n(I) -n(F intersection G) - n(G intersection I) -n(F intersection I)
+ n(F intersection G intersection I)
n(G intersection I)
= 110 + 88 + 65 -40 -38-26 + 9
= 263 - 95
= 168
So 168 pupils speak any of the three languages
None speakers = 180 - 168 = 12 pupils
So 12 pupils do not speak any of the three languages.
(d)at least one language
At least one language has the meaning that the person can either speak one two or all three languages, so it will be same as we proceeded above
Any of the three languages = (F union G union I)
= n(F) +n(G) + n(I) -n(F intersection G) - n(G intersection I) -n(F intersection I)
+ n(F intersection G intersection I)
n(G intersection I)
= 110 + 88 + 65 -40 -38-26 + 9
= 263 - 95
= 168
(e) either one or two of the three languages
Pupils can speak one or two language but not all the three so will subtract all the three language speaker from the total.
Total speaker = 168
All three languages speaker = 9
Either one or two of the three languages speaker = 168 - 9 = 159
Find the slope of the line passing through the points (-9, 3) and (-9, -2).
Answer:
Undefined
Step-by-step explanation:
Slope of the line
[tex] = \frac{ - 2 - 3}{ - 9 - ( - 9)} \\ \\ = \frac{ - 5}{ - 9 + 9} \\ \\ = \frac{ - 5}{0} \\ \\ = \infty \: \: or \: undefined[/tex]
6(-5+4)
Ok thx please show the steps?
6 (-5 + 4)
Sčítaním -5 a 4 získate -1.
6(-1)
Vynásobením 6 a -1 získate -6
Výsledok je -6
Jeremiah is saving money from a tutoring job. After the first three weeks, he saved $135. Assume the situation is proportional. Use the unit rate to write an equation relating the amount saved s to the number of weeks w worked. At this rate, how much will Jeremiah save for eight weeks? *
Answer:
After the first 3 weeks Jeremiah saved $135. If the situation is proportional:
$135 : 3 = $ 45. It means that he can save $45 for one week.
Therefore an equation is:
s = 45 * w,
where s is the amount saved and w is the number of weeks.
After 8 weeks :
s = 45 * 8 = $360.
Step-by-step explanation:
Emily loves to read. She read 527 hours in 31 weeks. If she read an equal number of hours each week, how many hours did she read each week?
Answer: Emily read 17 hours a week.
Step-by-step explanation: Divide the number of hours by weeks. 527/31=17
A line has a slope of 7 and a y-intercept of -2
Answer: it's -1
Step-by-step explanation: Hope this helps
Can I have brainliest?
13 less than 2/3 of a number
Answer:
[tex]\frac{2}{3} x-13[/tex]
Tabitha collects quarters from different states. The value of her collection is $17.75. How many quarters does she have in her collection?
Enter the correct answer in the box.
Answer:
there is 74 quarters
Step-by-step explanation:
$17.75 divided by 25 equals 71 and there is stillb75 left how many quarters are in that 3 quarters so 71 plus 3 equals 74
Help me out hereeeeeeeeeeeee
Answer:
I think the first one
Step-by-step explanation:
Answer:
3 1/7
Step-by-step explanation:
5/6 * 4 = 20/6
20/6 = 3 2/6 = 3 1/3
HELP Please 25 Points Calculus
(I) is not necessarily true. Consider the function f(x) = - |x| on the interval [-1, 1]. There's a maximum at x = 0, but f' (0) does not exist.
But both (II) and (III) are true, so the answer is A.
what is the simplified form of the expressions?
a. -6a^2b^-1
b. 5/y^-3
Answer:
option a
hope this helped.
2/3 divided 1/4 , give answers in simplest form
Answer:
2 2/3
Step-by-step explanation:
3.2 x 10-2 +3.2 x 10-4 +
28 x 10-2
Answer:
336 I assume if using PEMDAS
Step-by-step explanation:
15 more than three times a number is equal to 75
Also please give me the step by step
Answer:
x=20
Step-by-step explanation:
15+3x=753x+15=753x+15+15=75+153x=60[tex]\frac{3x}{3} =\frac{60}{3}[/tex] x=20I hope this explanation was helpful.
Step-by-step explanation:
soln,
15+3x=75
or, 3×15=75
or,3×15+15=75+15
or,3x÷3=60÷3
or,x=20
ans= 20
1/3 + 2/3 + 2/3 as a fraction pls helppp
Answer:
5/3
Step-by-step explanation:
Answer:
1 and 2/3
Step-by-step explanation:
They have a common denominator so add the top numbers and get 1 whole, and 2/3's.
Cumulative interest payment excel
Answer:
What is the question here?
put the question in the replies of this answer and I'll help you.
May I have brainliest please? :)
Find the slope of the line. 2x - 4y = 18
Answer:
The slope would be 1/2.
Step-by-step explanation:
Step one: Subtract 2x from both sides to get, -4y=-2x+18
Step two: Divide -4 from all sides
It is just that simple. Hope this helps. Have an awesome day!!!!!!!
in equilateral triangle DEF, m
Answer:
please write the full questions
Negative one fourth plus three fourths
Answer:
no
Step-by-step explanation:
Explain how you can find any power of 1
Answer:
It's just the number that is to the first power
Step-by-step explanation:
The local bowling alley charges $8 for 2 games of bowling and $3 for each additional game. You have a $20 bill. Let `x\ `stand for the total number of games you can bowl. Write an inequality to represent the total number of games you can bowl. Write the ORIGINAL inequality. Do NOT simplify.
Answer:
8 + 3x ≤ 20
Step-by-step explanation:
Given
2 Games = $8
Additional Game = $3
Amount = $20
Required
Determine the inequality that represents the number of games
From the question, we understand that the minimum number of games that can be played is 2.
So, the expression can be:
Cost of 2 games + Cost of additional games ≤ Amount
This gives:
8 + 3 * x ≤ 20
Where x represents the additional number of games
By simplifying the expression, we have:
8 + 3x ≤ 20
A machine that fills bottles on an assembly line does so according to a normal distribution, where the mean amount of liquid poured into each bottle is 11.95 ounces with a standard deviation of 0.045 ounces. If more than 12.10 ounces is poured into a bottle, it will overflow and waste the liquid.
Required:
What is the probability that a bottle has more than 12.10 ounces poured into it, causing it to overflow?
Answer:
The probability is [tex]P( X > 12.10 ) =0.0004[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 11.95 \ ounce[/tex]
The standard deviation is [tex]\sigma = 0.045 \ ounce[/tex]
Generally the probability that a bottle has more than 12.10 ounces poured into it, causing it to overflow is mathematically represented as
[tex]P( X > 12.10 ) = P( \frac{X - \mu }{\sigma } > \frac{ 12.10 - 11.95}{0.045} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( X > 12.10 ) = P( Z > 3.33 )[/tex]
From the z table the area under the normal curve to the right corresponding to 3.33 is
[tex]P( Z > 3.33 ) = 0.0004[/tex]
=> [tex]P( X > 12.10 ) =0.0004[/tex]
How to solve D - 8/5 = -4
Answer:
A= 5/7b +8
Step-by-step explanation:
The basic idea is that you can do anything you want (except divide by
zero) to either side of the equation, so long as you do the same thing
to the other side, too.
What is the answer to x/3 = 6/9
Answer:
x/3 = 6/9
3 x 2 = 6
3 x 3 = 9
x = 2
Given m||n, find the value of x.
+
(6x-7)°
>
(4x-1)^
Answer
Step-by-step explanation:
6x-4x=2x=7-1=6
2x=6
-2x-2x=x 6/2x=3
x=3
y = -9x + 5
y = –10.
Answer:
x=5/3 simplified x= 15/9
Step-by-step explanation:
2.4 x 24.12 need help I’m stuck help
Answer: 57.888
Step-by-step explanation: you have to use long multiplication to evaluate
HELP PLS I WILL MARK BRAINLIEST!!
Can we create scaled copies by adding or subtracting
the same value from all lengths? Why or why not?
Answer: no
Step-by-step explanation:
Because to make a scaled copy you have to MULTIPLY or DIVIDE all the lengths of the figure
Morgan is buying holiday gifts for her friends she can spend at most $95. Write an inequality to represent the amount of money m. Morgan can spend on each friends gift. What is the inequality
Answer:
$95÷f = m
Step-by-step explanation:
In sentence form
$95 divided by the number of friends(f) equals the amount of money(m) she can spend on each.
what is 8.05 x 10 to the 5th power in standard notation
Answer:
0.0000805
Step-by-step explanation: