Answer:
0.5 = 50% probability that he or she is not in any of the language classes.
Step-by-step explanation:
We treat the number of students in each class as Venn sets.
I am going to say that:
Set A: Spanish class
Set B: French class
Set C: German class
We start building these sets from the intersection of the three.
In addition, there are 2 students taking all 3 classes.
This means that:
[tex](A \cap B \cap C) = 2[/tex]
6 that are in both French and German
This means that:
[tex](B \cap C) + (A \cap B \cap C) = 6[/tex]
So
[tex](B \cap C) = 4[/tex]
4 French and German, but not Spanish.
4 that are in both Spanish and German
This means that:
[tex](A \cap C) + (A \cap B \cap C) = 4[/tex]
So
[tex](A \cap C) = 2[/tex]
2 Spanish and German, but not French
12 students that are in both Spanish and French
This means that:
[tex](A \cap B) + (A \cap B \cap C) = 12[/tex]
So
[tex](A \cap B) = 10[/tex]
10 Spanish and French, but not German
16 in the German class.
This means that:
[tex](C - B - A) + (A \cap C) + (B \cap C) + (A \cap B \cap C) = 16[/tex]
[tex](C - B - A) + 2 + 4 + 2 = 16[/tex]
[tex](C - B - A) = 8[/tex]
8 in only German.
26 in the French class
[tex](B - C - A) + (A \cap B) + (B \cap C) + (A \cap B \cap C) = 26[/tex]
[tex](B - C - A) + 10 + 4 + 2 = 26[/tex]
[tex](B - C - A) = 10[/tex]
10 only French
28 students in the Spanish class
[tex](A - B - C) + (A \cap B) + (A \cap C) + (A \cap B \cap C) = 16[/tex]
[tex](A - B - C) + 10 + 2 + 2 = 28[/tex]
[tex](A - B - C) = 14[/tex]
14 only Spanish
At least one of them:
The sum of all the above values. So
[tex](A \cup B \cup B) = 14 + 10 + 8 + 10 + 2 + 4 + 2 = 50[/tex]
None of them:
100 total students, so:
[tex]100 - (A \cup B \cup B) = 100 - 50 = 50[/tex]
(a) If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?
50 out of 100. So
50/100 = 0.5 = 50% probability that he or she is not in any of the language classes.
Help me plz and thank u
Answer:
18
Step-by-step explanation:
triangle formula = b x h /2
half of 8/2= 4
9 x 4= 36
36/2= 18
P(8,-3) T(x,y) = (x-4, y+7)
P'(?,?)
Answer:
P'(4,4)
Step-by-step explanation:
P(8,-3) T(x,y) = (x-4, y+7)
P'(8-4,-3+7)=P'(4,4)
The price of a 9-minute phone call $1.35. What is the price of an 11-minute phone call?
Answer:
1.65
Step-by-step explanation:
I did 1.35/9
The answer I got after dividing the two is 0.15.
Then I multiplied 0.15 by 11 and I got 1.65.
Answer this correctly I'll give brainalist + 10 points
Answer:
55
Step-by-step explanation:
The line is 180 and 180-125=55
Statements Reasons Given: AWXY is isosceles with legs WX and WY: AWVZ is isosceles with legs WV and WZ. Prove: AWXY – AWZ 1. given 1. WXY is isosceles with legs WX and WY 2. given 2. AWZ is isosceles with legs WV and WZ Z 3. WX EWY, WE WZ 3. def. of isosceles traingle W 4. def. of V 5. (WZ}(Wx) = (WY) (WZ) 5. multiplication property 6. (WZ)(WX) = (WYWY Complete the steps of the proof. WV 7. property of proportion 8. ZWE ZW 8. reflexive property 9. AWXY - AWZ
Answer:
1. WX = WY;WV =WZ
2. substitution property
3. SAS similarity theorem
Step-by-step explanation:
Complete steps of the proof are,
4) WX = WY
6) By definition of congruency, Put WZ = WV
9) By SAS congruency.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Triangle WXY is isosceles with legs WX and WY
And, Triangle WVZ is isosceles with legs WV and WZ.
Now, For the proof of the ΔWXY – ΔWVZ;
The complete sentence of the table are,
4) WX = WY
6) By definition of congruency, Put WZ = WV
9) By SAS congruency.
Thus, Complete steps of the proof are,
4) WX = WY
6) By definition of congruency, Put WZ = WV
9) By SAS congruency.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
The point (0,0) on a coordinate grid is called
Answer:
origin
hope this helps!
Step-by-step explanation:
Answer:
Origin
Step-by-step explanation:
The origin of the graph (0,0) is the point where the two y and x axes intercept.
The origin determines every other point of the graph.
Hope this helps!
Plz help me
A.6x3+2 3/4=20 3/4 cm3
B.6x3x2 3/4= 49 1/2 cm3
C.6+3+2 3/4=11 3/4 cm3
D.3x2 3/4= 8 1/4
Answer:
The answer to this would be B.
Step-by-step explanation:
When finding the volume of a three-dimensional object you want to use the formula, (Length) x (Height) x (Width) = (Volume)
In this case, 6 cm is your height
3 cm is your length,
and 2 3/4 cm is your width.
When you plug in those numbers, the only equation that matches is B. 6x3x2 3/4.
Hope this helped!
Jake has 3.5 hours before bedtime he must spend 2 hours doing homework the rest of his time will be spent doing puzzles it takes Jake 1/2 hour to complete each puzzle which equation models the number of puzzles P jake can complete before bedtime
3.5 = 2 - (1/2)p
(1/2)p+ 2 = 3.5
3.5 + 2 = (1/2)p
(1/2)p - 2 = 3.5
Answer:
(1/2)p+2=3.5
Step-by-step explanation:
1/2 is hours he spends doing work p would be the variable for how many puzzles he can do plus the 2 hours for homework to equal 3.5 hours in all.
Find each product mentally, using the distributive property, 4x51/8. (giving brainliest)
Answer:
25.5
Step-by-step explanation:
4 x 51 / 8
204/8
25.5
Answer:
Step-by-step explanation:
4×15/8 = 4×(1+⅞) = 4×1 + 4×⅞ = 4 + 7/2 = 4 + 3.5 = 7.5
PLEASE HELP ILL MARK BRAINLY FOR CORRECT ANSWER
Answer:
120 minutes
Step-by-step explanation:
12 x 10 = 120
10 x 12 = 120
15 x 8 = 120
You will put the muffins in 10 times and you will put the cookies in 12 times then you will put the scones in 8 times. If you have different numbers, you can first start out with one number and times all of the numbers by that one number. For example I picked 5 to start out with:
12 x 5 = 60 minutes 10 x 5 = 50 minutes 15 x 5 = 75 minutes.
Then I did 12 x 6 = 72 minutes, 10 x 6 = 60 minutes, 15 x 6 = 90 minutes
Since I still don't have the numbers to add up to the same answer, I went to timing them by 7:
12 x 7 = 84 minutes, 10 x 7 = 70 minutes, 15 x 7 = 105 minutes
They are still not the same answer so lets try 8:
12 x 8 = 96 minutes, 10 x 8 = 80 minutes, 15 x 8 = 120 minutes.
Since I don't want to go farther than 120 minutes, I will keep trying different numbers for the other ones besides 15.
12 x 9 = 108 minutes, 10 x 9 = 90 minutes
12 x 10 = 120 minutes, 10 x 10 = 100 minutes
Now we will focus on getting 10 to 120 because we got 12 to 120.
10 x 11 = 110 minutes
10 x 12 = 120 minutes
To sum all of this, it took 8 trips to get 15 minutes to 120 minutes, 10 trips to get 12 minutes to 120 minutes, and 12 trips to get 10 minutes to 120 minutes.
One more way to think about this is:
10, 12, and 15 can go into 120 evenly.
[tex]12\sqrt{120} = 10[/tex]
[tex]10\sqrt{120} = 12\\15\sqrt{120} = 8[/tex]
Which of the following equations have no solutions? Select all that apply:
A) 14r + 23 = 14r -23
B) -23r - 14 = 14r -23
C) 14r - 23 = 14r -23
D) -14r + 23 = 14r - 23
Harry is a builder.
He has to buy stones to cover part of a garden.
The part of the garden is triangular as shown in the
diagram
Harry knows that
5 bags of stones will cover an area of 4 m2
• a bag of stones costs £7.99
Work out the total cost of the bags of stones
Harry needs to buy
(5)
Write your answer in the box below.
£
£| I
SI
TH
Answer:
£39.95
Step-by-step explanation:
multiply it by £7.99×5
is 20% greater or less than 1/4
Answer: 20% is less than 1/4
Step-by-step explanation:
1/4 is 25%
25%> 20%
Answer: less
Step-by-step explanation:
13 in
10 in.
7 in
3. What is the perimeter of the
(19)
trapezoid?
What is the constant of variation of c=2.15g
Thx to all that help
Answer:
Since the equation can be written in the form y=kx, y varies directly with x and k. The constant of variation, k, is 2.15
A = ?
when r = 10 in.
(A = area of a circle)
(r = radius)
Can someone help me out please ? Will give brainiest answer. Need all 6
Step-by-step explanation:
tell me the math problem I will tell u the answer its blurry
Picture below please help
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the types of Angles.
Supplementary angles sum up to make 180° and Complementary sum up to make 90° angles.
1.) angle AXC and CXD => SUPPLEMENTARY ANGLES
2.) angle BXC and CXD => COMPLEMENTARY ANGLES
Write 2 1/6 as an improper fraction
Answer:
13/6
Step-by-step explanation:
General Logs Banana Bombs cereal is sold in 10.40 ounce packages. Because the cereal is sold by weight, the number of pieces of Banana Bombs varies from box to box. A random sample of 19 boxes of Banana Bombs was sampled and the number of pieces in each box was counted. The sample mean for 19 boxes was 696.58. The quality control engineer knows from the experience that population standard deviation is assumed to be 12.33 and that the number of pieces of Banana Bombs arenormally distributed.a.Construct a 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages.
Answer:
The 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages is between 689.3 and 703.86.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{12.33}{\sqrt{19}} = 7.28[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 696.58 - 7.28 = 689.3 pieces
The upper end of the interval is the sample mean added to M. So it is 696.58 + 7.28 = 703.86 pieces
The 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages is between 689.3 and 703.86.
Answer this correctly I’ll give u brainalist + 10 points
4 less tha the product of a 5 and a number
Answer:
5+n(-4)
Step-by-step explanation:
this is the equation if that helps??
Answer:
5*N-4 five times a number n minus four
What is the slope of a line passing through (-10,10) and -50,12)
Plz help this is 400 points. Nancy bought a Reuben sandwich and received her change in several coins. The cashier handed Nancy 2 half dollars, 3 quarters, 4 dimes, 4 nickels, and 1 penny. How much money did Nancy get in change? explain in two sentence
Answer: After Nancy bought the sandwich, the cashier handed back $2.36
Step-by-step explanation:
Find the length of the diameter of circle O. Round to the nearest tenth.
Answer:
Diameter = 19.33
Step-by-step explanation:
Imaging a radius line from O to the endpoints of the 7. call this line R.
Label the part of the vertical line from O to the 90 degree intersection y.
Now you have a right triangle.
Using the Pythagorean theorem:
R² = 7² + y²
also
y = R - 3
substitute for y:
R² = 49 + (R-3)²
R² = 49 + R² - 6R + 9
simplify:
0 = 58 - 6R
6R = 58
R = 9.6667
Diameter = 2(9.6667) = 19.33
EASY POINTS
PLEASE ANSWER
:)
LOTS OF POINTS!!!!!!!!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
It says the both dimensions are 30%. So, it we do 31 divided by 6, it would be 5 with a remainder of one, which is also equal to 5.1. If we then multiply it by 4, then divide by 9, that would be .03.
A person invested $540 in an account growing at a rate allowing the money to double
every 9 years. How much money would be in the account after 21 years, to the nearest
dollar?
Answer:2721
Step-by-step explanation:
can u help solve this
Answer and Step-by-step explanation:
The expression is equal to 90.
This is because the lines that cut the right angle are cutting it in half, so those base angles are 45, leaving the center angle to be 90 (90 + 45 + 45 = 180).
90 = 19x + 4.5
85.5 = 19x
x = 4.5
The value of x that makes the parallelogram a square is 4.5.
I hope this helps!
#teamtrees #PAW (Plant And Water)
On the number line -1
Answer:
A
Step-by-step explanation:
Identify the point in Figure 2 that corresponds to point M in Figure 1.
Answer:
i need a picture. If i had a picture i would be happy to help!
Step-by-step explanation: