Answer:
500 students appeared in the examination.
Step-by-step explanation:
Each event represents a set in the Venn diagram, and we use it to find the desired values.
I am going to say that:
Event A: Passed in English.
Event B: Passed in Science.
80% passed in English
This means that [tex]P(A) = 0.8[/tex].
75% passed in Science
This means that [tex]P(B) = 0.75[/tex]
5% failed in both subjects.
This means that 100% - 5% = 95% passed at least one of these subjects, so [tex]P(A \cup B) = 0.95[/tex].
Proportion that passed both subjects:
This is [tex]P(A \cap B)[/tex]
These percentages are related by the following equation:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
So
[tex]P(A \cap B) = 0.8 + 0.75 - 0.95 = 0.6[/tex]
Number of students in class:
60% of the total number t passed both subjects. This is equals to 300. So
[tex]0.6t = 300[/tex]
[tex]t = \frac{300}{0.6}[/tex]
[tex]t = 500[/tex]
500 students appeared in the examination.
what are the coordinates of the endpoints A'B after a reflection of segment AB over the line y = - x?
A' (-6,1)
A' (1,-6)
A'(-1,6)
B'(4,2)
B'(-4,-2)
Answer:
by reflection, if you mean swapped, then the answers are A'(1,-6) and B'(4,2)
i hope these are the answers you are looking for
Step-by-step explanation:
A square garden has a diagonal of 12m. What is the perimeter of the garden? Express in simplest radical form.
Answer:
24√2
Step-by-step explanation:
Let the side of the square be x
If the diagonal is 12m (hypotenuse), then;
x^2 + x^2 = 12^2
2x^2 = 144
x^2 = 144/2
x^2 = 72
x = √72
x = √36*2
x = 6√2
Perimeter of the square garden = 4x
Perimeter of the square garden = 4(6√2)
Perimeter of the square garden = 24√2
Decompose the fraction in two different ways 1 1/4
Answer:
if my decompose, you mean change it, but still mean the same, then 5/4, and 1 2/8
Step-by-step explanation:
The mixed fraction number 1 ¹/₄ into the two different forms will be 5/4 and 1.25.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The mixed fraction number is 1 ¹/₄.
Convert the mixed fraction number into a fraction number. Then we have
1 ¹/₄ = 1 + ¹/₄
1 ¹/₄ = (4 + 1) / 4
1 ¹/₄ = 5 / 4
Convert the fraction number into a decimal form. Then we have
5/4 = 1.25
The mixed fraction number 1 ¹/₄ into the two different forms will be 5/4 and 1.25.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
9. A person is sitting on a 30 foot pier overlooking the ocean. His eye level is 3 feet above the
pier. He sees a whole surface in the ocean. If the angle of depression of the whale is 20", how
far is the whale from his eyes?
Answer:
90.67feet
Step-by-step explanation:
Given that α = 20°
Tan α = opp/adj......... 1
Opp = 33feet
Adj = x
Substitute the values into equation 1
Tan 20° = 33feet/adj
0.36397 = 33/adj
0.36397×adj = 33
Adj = 33/0.36397
Adj = 90.666
Recall, adj = x = 90.666feet
x = 90.67feet
Hence, the whale is 90.67feet far from the eyes
205/2 Setup I know the answer is 102
What is the area of this figure?
Answer:
806.5 in ^2
Step-by-step explanation:
Separate into 3 figures: rectangle, trapezoid, and triangle
Rectangle:
A = 16*9
A = 144
Trapezoid:
A = ((16+31)/2)*15
A = 352.5
Triangle:
A = (31*20)/2
A = 310
TotalArea:
144+352.5+310
A = 806.5 in^2
40 points please help me due in 50 minutes!
72 paper clips decreased by 63% paper clips
Answer:26
Step-by-step explanation:
got a decimal but you cant have a decimal of a paper clip
Answer:
72 x 63% = 45.36 paper clips
or; 72 x .63 = 45.36 paper clips
either one will work...
Step-by-step explanation:
have a good day
Determine the simple interest when: principal: $15,850 interest rate: 3.75%, time: 7 year
Step-by-step explanation:
principle (p) = $15,850rate (r) = 3.75%time (t) = 7 yearssimple interest = (p × r × t) ÷ 100 = (15850 × 3.75 × 7) ÷ 100 = 416,062.5 ÷ 100 = 4,160.625MARK ME AS BRAINLISTPLZ FOLLOW MEHELP PLS PLS PLSBPLSBPLS PLS
Answer:
a and c are correct
b and are wrong
bc length=ab length=4 squres
so triangle is isosceles.a is correct
abc angle is right angle.so c is correct
triangle has only one line of symmetry.that will be the line joining b and the mid point of ac
ac side is bigger than other two sides.so d is incorrect
A model rocket consists of a cone on top of a cylinder.
• The cone has a volume of 72 cm3.
• The cylinder has a diameter of 6 cm and a height of 25 cm.
What is the approximate volume of the entire model rocket?
Answer:
779
Step-by-step explanation:
6/2=3 3•3•25•pi
Volume of a cylinder v=pi•r2•h
8(4x - 1) - 12x = 11(2x-6)
Which of the following best describes x in the equation y=5x+3?
Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.5 mile she bikes. If Emily bikes 8 miles, how much will her mother donate?
Answer:
Sorry this is so late but for those that need it. The answer is 4.8
Step-by-step explanation:
In order to get this i set up my equation like so.
0.60*(0.5*16)=y
Why I did it like this is because for every 0.5 thats half a mile so 8 miles times 2 to get the half miles was 16.
After figuring out that i started my equation and got
0.60*8=y
Then to finish it and get $4.8 Donated.
Hope this helped
A brainliest is always appreciated.
Which inequality is best represented by this graph?
Answer:
A. x-3y<5
Step-by-step explanation:
x-3y__5
I would plug in 0,0 since it is in the shaded region
0-3(0)<5
0<5
Since it is a dashed line it is just <
Manuel paid off 88% of his debt. He originally owed $$$1950. How much does Manuel owe now?
Answer:
234
Step-by-step explanation:
234 because you have to do 1950 - 88% which will get you 234$
PLEASE HELP ME im not sure which ones i think its the first one but not sure about the rest
Answer:
It’s the first and the third one
Step-by-step explanation:
Which of the following gives 54 as a product of its prime factors?
) 6x9
2x3 x 9
2x 3 x 3 x 3
Answer:
The last one, 2x3x3x3
Step-by-step explanation:
It cost $2,845.80 for 3 people to go on a sightseeing vacation to Washington DC. How much did it cost in dollars per person?
Answer:
It costs $948.60 per person
Step-by-step explanation:
When you divide 2,845.80 by 3 we get 948.6.
I hope this helps you in any way:)
In ΔLMN, the measure of ∠N=90°, MN = 5.6 feet, and NL = 1.7 feet. Find the measure of ∠M to the nearest tenth of a degree
Answer:
M= 16.8868 ≈ 16.9
Step-by-step explanation:
Find the missing base
1 Which is the simplified form of the expression (1021495* (104)05) ?? 1 30 O O g30 012 060 O p12,60
Answer:
7
Step-by-step explanation:
please help meeeeeeeeeeeeeeeeeeeeee
Answer:
C and G
Step-by-step explanation:
not completely sure if this is correct but i think so lol
so 10% of 200 is 20 because 200*.10=20 , so your first payment would be 20 dollars.
your second payment is 25% of 200 which is 50 because 200*.25=50
adding those two payments together you get 70 dollars , meaning that you need 130 more dollars.
65% of 200 is 130 dollars , so I believe that C and G would be your correct answers
Suppose the restaurant’s description of the weights of its hamburgers is true. The dotplot below
shows the distribution of sample means from 100 simulated SRSs of size n = 5 from a normally
distributed population with µ = 8 ounces and σ = 0.54 ounces.
(b) Would it be unusual to get a sample mean of 7.6 oz or less in a sample of size n = 5 from this
population? Explain.
(c) Based on your answer to part (b), is there convincing evidence that the mean weight of
hamburgers at this restaurant is less than 8 oz? Explain.
Answer:
Step-by-step explanation:
It would be unusual because there are only one 7.6 samples out of a total of 100 samples.
Function tables are?
Answer:
a table that describes a function by displaying inputs and corresponding outputs in tabular form
Step-by-step explanation:
How could I write 3 as a fraction?
Answer:
[tex]3/1[/tex]
Step-by-step explanation:
You can put any number as a fraction by simply placing a one in the denominator spot.
polynomial for 4c+4d
Answer:
4(c+d)
Step-by-step explanation:
A temperature of F degrees Fahrenheit is the same as 5/9(f-32) degrees Celsius. According to weather records, the highest recorded temperature in the state of Ohio is 113 degrees Fahrenheit. What is the record high temperature in degrees Celsius
Answer:
45 degrees Celsius
Step-by-step explanation:
write the place value of the 5 in each number. a) 1 325
Answer:
Place Value of 5 in 1325 is 'Thousands'
when a two digit number is multiplied by its unit digits, the product is 336. When the digits are reversed and the new number is multiplied by its new unit digits, the product is 325.If the sum of the digits is 11, find the original two digit number
9514 1404 393
Answer:
56
Step-by-step explanation:
In the base-10 number system, the only two digits that have themselves as the least significant digit of their square are 5 and 6.* If multiplying a 2-digit number by the ones digit gives a ones-digit of 6, then the ones digit must be 6.
Similarly, if the ones digit of the product is 5, the ones digit of the number must be 5.
So, the ones digit of the original number is 6, and the ones digit of the reversed 2-digit number is 5. The original number is 56.
__
Check
56 × 6 = 336
65 × 5 = 325
5 + 6 = 11
_____
* Additional comment
These digits are called "automorphs." Automorphs ending in 5 or 6 can be extended to any number of digits. For example, the 3-digit automorph ending in 6 is 376. 376² = 141376. Similarly, the 3-digit automorph ending in 5 is 625. 625² = 390625
