There are three section here
First section is the event of only E, the second is the event of only F, and the third is the event of the overlap of E and F
E or F means the total unit of events. Which is (only E)+(only F)-(E and F)
Using substitution we get 45=20+45-(E and F)
solving the equation
E and F=65-45
E and F=20
Therefore, P(E and F) is 20
I hope this helps, if you have any questions please ask!
Find the distance between the points (-7,-6) and (4,-6)?
Answer:
Step-by-step explanation:
the distance between the two points are 11.
the slope is m=0
Answer:
11 units
Step-by-step explanation:
[tex]Solution,\\\\Let,\\\\(x_1,y_1)=(-7,-6)\\\\(x_2,y_2)=(4,-6)\\\\Now,\\\\Using\:distance\:formula,\\\\\hookrightarrow d=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2} } \\\\\hookrightarrow d=\sqrt{(4-(-7))^{2} +(-6-(-6))^{2} } \\\\\hookrightarrow d=\sqrt{(11)^{2} +(0)^{2} }\\\\\hookrightarrow d=\sqrt{121} \\\\\hookrightarrow d=11\: units[/tex]
Find the height of a cone with a diameter of 12 m whose volume is 904 m3.
Use 3.14 for 1 and round your answer to the nearest meter.
A. 24 m
B. 8 m
C. 48 m
D. 6 m
Answer:
24 m that is the answer to the question
The height of the cone is 24 meters.
Option A is the correct answer.
What is a cone?It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.
We have,
The formula for the volume of a cone.
V = (1/3)πr²h
Where r is the radius of the base and h is the height.
The diameter of the cone = 12 m.
So,
The radius is half of the diameter:
r = 12/2
r = 6 m
Now,
The volume of the cone is 904 m³.
Substituting the known values into the formula.
904 = (1/3) × 3.14 × 6 x 6 × h
Simplifying the equation.
904 = 37.68 h
Dividing both sides by 37.68.
h = 23.99
h = 24
Therefore,
The height of the cone is 24 meters.
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This figure represents a small plastic container.
What is the volume of the container?
3648 mm³
11,520 mm³
14,400 mm³
15,360 mm³
Answer:
The answer is 11,520 mm³
Step-by-step explanation:
Here proof
Answer: 11,520
Step-by-step explanation:
∆ area = 24*32=768/2 =384
Now multiply 384 by height 30=11,250³
24*32*30/2 = 11 520 mm³
or
V=1/2bhl
11,250³ =1/2(24*32*30)=23040
=1/2 or 0.5 * 23040= 11,250³
What is the area of this shape?
Answer:
A = 35.1
Step-by-step explanation:
Formula:
(1/2) × Apothem × Perimeter
Apothem: 7.8 in.
Perimeter: 9 in.
A = 1/2 × 7.8 × 9
A = 35.1
Hope it helps!!!Brainliest pls!!!Answer: 35.1
Formula is 1/2 (apothem x perimeter)
What role do plants play in the nitrogen cycle?
Answer:
Plants absorb nitrates from nearby soils to create proteins. Fertilizer also helps because it makes the soil even richer, allowing for more nitrates, which means more proteins.
Please help!!!!!
Solve for X and Y
Need help please please
Answer:
A
Step-by-step explanation:
Translates up 2 right 3.
Rotates 180 degrees.
I really need help answering this question, the question is the attachment below.
Answer:
49.6
Step-by-step explanation:
Answer:
Please mark as brainliest;)
Is the equation of the new parabola 0.1? Please let me know because I’m confused.
Answer:
y=[tex]\frac{1}{10} x^2[/tex]
Step-by-step explanation:
You're partially correct.
Let me explain:
When a parabola is scaled vertically, think of it this way: a parabola is being stretched up or smooshed downwards, by some math god who can defy all forms of life and dimensions.
When a parabola, in y=a[tex]x^{2}[/tex], is shifted vertically, when a>1, it appears 'skinnier'. The parabola went on a diet! However, when 0<a<1, the parabola seems wider and fat.
Knowing this knowledge, when factored vertically by a factor of x, it means that it is the coefficient of the parent graph y=a[tex]x^{2}[/tex], which means 1/10 goes before [tex]x^{2}[/tex].
Summing all of this up, your answer would have the equation of the new parabola as y=[tex]\frac{1}{10} x^2[/tex]
Scaled vertically means not reflected over x axis .
y=x^2Here
a=1Now it's vertically scaled
so
|a|=1/10=0.1New equation
y=0.1x^2Find two integers whose sum is 5 and whose product is 6.
Answer:
2 and 3
Step-by-step explanation:
2+3=5
2*3=6
A 12-ounce box of cereal costs $3.29. An 18-ounce box of cereal
costs $4.59. Which box of cereal is the better deal?
A. The 18-ounce box
C. Both boxes cost the same
per ounce.
B. The 12-ounce box
D. You need more information.
72
Answer:
12 ounce of cereal it will be a far one
PLEASE PLEASE HELP ASAP!!
Answer: B
Step-by-step explanation:
Group the variables together: 3i + 2i -3i = -4i
Then for the fractions: 3/4 - 9/3 = -9/4
Answer:
B. (-9/4 -4i)
Step-by-step explanation:
On each of ner birthdays. Bernadette blew out a number of candles
equal to her age in years. She lived to be 107. How many candles
did she blow out during her lifetime? (She had some help the first
few years but they all count)
Answer:
5778
Step-by-step explanation:
1+2+3+4+5+....+105+106+107
The sequence of numbers (1, 2, 3, … , 107) is arithmetic and when we are looking for the sum of a sequence, we call it a series. Thanks to Gauss, there is a special formula we can use to find the sum of a series:
S=n(n+1)/2=11556÷2=5778
S is the sum of the series and n is the number of terms in the series, in this case, 107
There are other ways to solve:
This is an arithmetic series, for which the formula is:
S = n[2a+(n-1)d]/2
where a is the first term, d is the difference between terms, and n is the number of terms.
For the sum of the first 107 whole numbers:
a = 1, d = 1, and n = 107
Therefore, sub into the formula:
S = 107[2(1)+(107-1)(1)]/2 =
107(2+106)/2=107*108/2=5778
so she blow out 5778 candless during her lifetime
In a manufacturing plant, three machines A,B, and C produce 40 %, 35 %, and 25 %, respectively, of the total production. The company's quality control department determined that 1 % of the items produced by machine A, 1.5 % of the items produced by machine B, and 2 % of the items produced by machine C are defective. If an item is selected at random and found to be defective, what is the probability that it was produced by machine B
Answer:
Approximately [tex]37\%[/tex].
Step-by-step explanation:
Let [tex]X[/tex] denote the machine that produced the item. Let [tex]Y[/tex] denote whether the item was defective or not. (Let [tex]Y = 1[/tex] if the item is defective and [tex]Y = 0[/tex] otherwise.)
The question is asking for the probability of the event [tex]X = B[/tex] (the selected item was produced by machine [tex]B[/tex]) given that [tex]Y = 1[/tex] (the selected item was defective.) This probability could be denoted as: [tex]P(X = B \; | \; Y = 1)[/tex].
Quantities given in this question are:
[tex]P(Y = 1\; | \; X = A)[/tex], [tex]P(Y = 1\; | \; X = B)[/tex], and [tex]P(Y = 1\; | \; X = C)[/tex], as well as[tex]P(X = A)[/tex], [tex]P(X = B)[/tex], and [tex]P(X = C)[/tex].Apply Bayes' Theorem to express [tex]P(X = B \; | \; Y = 1)[/tex] in terms of these quantities. By Bayes' Theorem:
[tex]\begin{aligned} & P(X = B\; | \; Y = 1) \\ =\; & \frac{P(X = B\; \cap Y = 1)}{P(Y = 1)}\\ =\; & \frac{P(Y = 1\; |\; X = B)\, P(X = B)}{P(Y = 1)}\end{aligned}[/tex].
Find the value of [tex]P(Y = 1)[/tex] (probability that a random item from this plant is defective) by marginalizing over all possible values of [tex]X[/tex]. This value is like a weighted average of the defective rate of each machine. The weights here would be the percentage of items produced by each machine.
[tex]\begin{aligned}& P(Y = 1) \\=\; & P(Y = 1\; | \; X=A)\, P(X = A) \\ &+ P(Y = 1\; |\; X = B)\, P(X = B) \\ & + P(Y = 1\; |\; X = C)\, P(X = C) \\ =\; & 0.01 \times 0.40 \\ &+ 0.015 \times 0.35 \\ &+ 0.02 \times 0.25 \\ =\; & 0.01425\end{aligned}[/tex].
Substitute in the given quantities [tex]P(Y = 1\; |\; X = B) = 0.015[/tex] and [tex]P(X = B) 0.35[/tex] into the expression from Bayes' Theorem:
[tex]\begin{aligned} & P(X = B\; | \; Y = 1) \\ =\; & \frac{P(Y = 1\; |\; X = B)\, P(X = B)}{P(Y = 1)} \\=\; & \frac{0.015 \times 0.35}{0.01425} \\\approx\; & 0.37 = 37\%\end{aligned}[/tex].
A jar contains 1200 ml of milk.
How many litres and ml of milk is in
the jar?
Answer:
1.2 liters
Step-by-step explanation:
GIVING BRAINLIEST AND 100 POINTS! (Only if you include explanation)
6- 1 4/6?
Answer:
4 1/3
Step-by-step explanation:
6-1 4/6
5 6/6-1 4/6
66-4/6=1/3
4+1/3
=4 1/3
Answer:
[tex]\sf 4\dfrac{1}{3}[/tex]
explanation:
[tex]\hookrightarrow \sf 6 - 1\dfrac{4}{6}[/tex]
turn mixed to improper fraction
[tex]\hookrightarrow \sf 6 - \dfrac{10}{6}[/tex]
make the denominators same
[tex]\hookrightarrow \sf \dfrac{6(6)}{6} - \dfrac{10}{6}[/tex]
expand
[tex]\hookrightarrow \sf \dfrac{36}{6} - \dfrac{10}{6}[/tex]
simplify, join both fractions together
[tex]\hookrightarrow \sf \dfrac{36-10}{6}[/tex]
simplify
[tex]\hookrightarrow \sf \dfrac{26}{6}[/tex]
[tex]\hookrightarrow \sf \dfrac{13}{3}[/tex]
change improper to mixed fraction
[tex]\hookrightarrow \sf 4\dfrac{1}{3}[/tex]
Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
What gradient is shown on the graph
Answer:
-3
Step-by-step explanation:
Changes y Divided by changes x
The polynomial equation x^(3)-x=0 has exactlty one positive root and exactly one negative real root. Please select the best answer from the choices provided T F
Answer: T
Step-by-step explanation:
. Andrew is deciding whether to purchase Car A or Car B. He wants
to buy the car that has the best mileage per gallon of gas. Car A
gets 23.7 miles per gallon of gas. Car B can travel 374 miles on
17 gallons of gas. Which car has the better gas mileage?
A. Car A
B. Car B
C. They have the same mileage. D. You need more information. .
Answer:
B. Car A
Step-by-step explanation:
To find the unit rate divided 374 and 17
374 ÷ 17 = 22
Car B 22 miles per gallon
Car A 23.7 miles per gallon
Car A is a better by because it has more mileage.
What is the value of tan(A) in the diagram?
What is the probability the student rolls a 6 and flips the quarter on tails?
Answer:
1/12
Step-by-step explanation:
the probability of landing on 6 is 1/6 and the probability of a tails is 1/2, so 1/6*1/2=1/12
1/3 equivalent fraction
Answer:
Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, 2/4 and 3/6 are equivalent fractions, because they both are equal to the ½. A fraction is a part of a whole.
2/6
3/9
4/12
Step-by-step explanation:
1 × 2 / 3 × 2 = 2/6
1 × 3 / 3 × 3 = 3/9
1 × 4 / 3 × 4 = 4 /12
Answer:
2/6
Step-by-step explanation:First, you multiply both numbers then you have 2/6. :)
Are the ratios 9:18 and 1:2 equivalent?
Answer:
yes
Step-by-step explanation:
(1:2)x2=9/18
yes the ratios 9:18 and 1:2 equivalent
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
We need to check whether the ratios 9:18 and 1:2 are equivalent.
Equivalent ratios are the ratios that are the same when we compare them.
Two or more ratios can be compared with each other to check whether they are equivalent or not.
Here the two ratios are 9:18 and 1:2
We can write 9:18 as fraction 9/18
When we simplify it we get 1/2
Hence, yes the ratios 9:18 and 1:2 equivalent
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Josiah downloads 44 songs, including 16 songs by his favorite band. A. Express as a decimal the amount of songs by his favorite band that Josiah downloaded our od the total number of downloads
a motorist left home at 10 a.m. to travel to a cityof a distance of 260 km he reckoned hecould average 80km/ h at what time would he arrive at the city
Answer:
He would get there at 1:15 (I did this in my head, may be wrong)
Step by step solution:
We know the motorist left home at 10. We can divide the 260/80 and we get 3 hrs, we still have 20 km left over, keep on dividing and you get 1:15 p.m.
what two negative numbers have a product of 16 and a sum of -17
Answer: it's = 1
Step-by-step explanation:
4 people will equally split 142.6 acres of land. How much land will each person get? acres
Answer:
35.65 acres
Step-by-step explanation:
Answer:
35.65 acres
Step-by-step explanation:
Just divide 142.6 by 4 for the (four people)
i need help...
(25 points)
Answer:
Problem:
Nonoy sells newspaper in the morning. He gets Php 5 per newspaper sold and a Php 30 a day tip from the supplier. How much does he earn if he sells 30 newspapers in one day?
Given:
Php 5 per newspaper sold and a Php 30 a day tip from the supplier
Formula:
5 x 30 + 30 (tip from the supplier)
Solution:
5 x 30 = 150
150 + 30 tip from the supplier = 180
Final Answer:
180 pesos
Step-by-step explanation:
A bag contains 8 white, 5 red and 7 black balls. If three balls are picked out one at a time at random and not returned to the bag (i.e. without replacement). What is the probability that in the sample there will be 3 red balls.
Answer:
15 percent
Step-by-step explanation:
3/20 multiply the fraction by 5 to equal 100, thus creating 15/100