The number of days that had either rain or high winds for the considered case is 77
What is the addition rule of size for two subsets?For two subsets A and B of the universal set U, we have:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]
Assume that:
A and B be the subsets of what happens on each day.
Then in the days of last several weeks , we take:
A = set of days which had rainB = set of days which had high winds,then, as per the data given, we get:
n(A) = number of days seeing rain = 67n(B) = number of days seeing high winds = 23 n(A ∩B) = number of days seeing both rain and high winds = 13Thus, we get:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)\\n(A \cup B) = 67 + 23 - 13 = 77[/tex]
Thus, n(A ∪B) = number of days seeing either rain or high winds = 77
Thus, the number of days that had either rain or high winds for the considered case is 77
Learn more about use of addition rule for two subsets here:
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answer this pls
pls answer
Answer:
1/12
Step-by-step explanation:
Given
5/14 x 7/30Solving
This can easily be solved by using cross-multiplicationIf we are given a fraction a/b, it can be rewritten as a x 1/b⇒ 5 x 1/14 x 7 x 1/30Now combine (7 and 1/14) and (5 and 1/30)⇒ 7 x 1/14 x 5 x 1/30⇒ 7/14 x 5/30⇒ 1/2 x 1/6⇒ 1/12Answer:
[tex]\dfrac{1}{12}[/tex]
Step-by-step explanation:
Rewrite the denominators as products of factors, then cancel the common factors.
[tex]\begin{aligned}\dfrac{5}{14} \times \dfrac{7}{30} & =\dfrac{5}{2 \cdot 7} \times \dfrac{7}{6 \cdot5}\\\\ & = \dfrac{5 \cdot 7}{2 \cdot 7 \cdot 6 \cdot 5}\\\\ & = \dfrac{1}{2 \cdot 6}\\\\ & = \dfrac{1}{12}{\end{aligned}[/tex]
Simplify
2/3 - 5/6•8
A) -4
B) -6
C) -22/3
D) -4/3
Answer:
B) -6
Step-by-step explanation:
5/6 x 8 = 5/6 x 8/1 = 40/6 / 2 = 20/3 = 2/3 - 20/3 = -18/3 / 3 = -6
select the correct answer what is the average rate of change of f(x), Who represented by the graph over the interval [0,2]?
A.2
B.1
C.0.5
D.-0.5
What is the 15th term of 8,32,128,…
Answer:
2147483648
Step-by-step explanation:
The pattern being used is x4.
8 x 4 = 32
32 x 4 = 128
128 x 4 = 512
512 x 4 = 2048
2048 x 4 = 8192
8192 x 4 = 32768
32768 x 4 = 131072
131072 x 4 = 524288
524288 x 4 = 2097152
2097152 x 4 = 8388608
8388608 x 4 = 33554432
33554432 x 4 = 134217728
134217728 x 4 = 536870912
536870912 x 4 = 2147483648
find the area of the regular pentagon
Answer:
[tex]A = 43.1\ cm^2[/tex]
Step-by-step explanation:
Step 1: Determine the area
[tex]A=\frac{1}{4}\sqrt{5(5+2\sqrt{5})}*a^2[/tex]
[tex]A=\frac{1}{4}\sqrt{5(5+2\sqrt{5})}*(5\ cm)^2[/tex]
[tex]A = \frac{1}{4}*6.8819*25\ cm^2[/tex]
[tex]A = 43.1\ cm^2[/tex]
Answer: [tex]A = 43.1\ cm^2[/tex]
i need help 9th grade math
Answer:
10
Step-by-step explanation:
Lower quartile (Q₁) = 25
Upper quartile (Q₃) = 35
Interquartile range (IQR) = Q₃ - Q₁ = 35 - 25 = 10
(see attachment)
Please could you help me with this. 132 people took a driving test. 80 people predicted they would pass. 64 people
didn't pass. Of these 64 people, 3 times as many people predicted they would pass
as predicated fail. Draw a frequency free to represent this information and use it to
find the probability that a person who predicted they would fail actually did.
Select all of the statements that are true
Answer:
a and c
Step-by-step explanation:
Renee is buying Halloween candy. She wants to buy candy bars and lollipops and spend no more than $28. Each candy bar costs $0.45 and each lollipop costs $0.25. Which inequality represents the possible combinations of x, the number of candy bars, and y, the number of lollipops Renee can buy?
The inequality that represents the possible combinations of candy bars and lollipops that he can buy is given by:
[tex]0.45x + 0.25y \leq 28[/tex]
What is the inequality that models this situation?The total price can be no more than $28, hence:
[tex]T \leq 28[/tex]
Each candy bar costs $0.45 and each lollipop costs $0.25. x is the number of candy bars and y of lollipops. Hence, the total price is given by:
T = 0.45x + 0.25y.
Hence, the inequality that models the situation is:
[tex]0.45x + 0.25y \leq 28[/tex]
More can be learned about inequalities at brainly.com/question/25235995
factor using the greatest common factor (GCF)
4x² + 14
Answer:
2(2x^2 + 7)
Step-by-step explanation:
The GCF is 2.
2(2x^2 + 7)
Several points appear on the number line, which shows numbers from 0 through 1. On the number line, point M represents 0.25. What fraction does point M also represent on the number line?
Select one:
1/3
1/25
1/5
1/4
Step-by-step explanation:
what happens, when we actually calculate the given fractions ?
after all, a fraction is always a division.
so,
1/3 = 0.3333333333...
1/25 = 0.04
1/5 = 0.2
1/4 = 0.25
aha !
1/4 is the correct answer.
Will give 50 points!!! ASAP!!!!!!!!!!!
You have a coin and a bag of marbles. The bag of marbles has 5 marbles of each color: Red, yellow, blue and green. What is the probability of flipping a head and then selecting a blue marble?
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Since there are a total of 4 colors, and there are 5 of each colors, the total marbles in the bad would be;
5 x 4 = 20
If a color is selected at random the probability would be
[tex]\frac{part}{whole}[/tex]
our part is 5
our whole is 20
so the probability would be;
[tex]\frac{5}{20}[/tex] or [tex]\frac{1}{4}[/tex] when reduced
Hope this helps!
Answer
1/4
Step-by-step explanation:
I dont know im just guessing sorry
I might not be correct.
!!20 points and Brainliest!!!! Make sure to explain!!!
Which of the following would best be solved using completing the square?
A) 2x^3 - 12x^2 + 5x - 30 = 0
B)5x^2 + 7x = 12
C) x^2 = 81
D) x^2 + 4x - 21 = 0
Answer:
D) x^2 + 4x - 21 = 0
Step-by-step explanation:
Calculate the length labeled x
Image above! PLEASE HELP ME WITH THESE 2 QUESTIONS ILL GIVE YOU BRAINLIST ANSWER
Answer:
Top-
11.5 or the square root of 133
Bottom-
15.3 or the square root of 235
Answer:
c) [tex]x=\sqrt{133}[/tex]
d)[tex]x=\sqrt{235}[/tex]
Step-by-step explanation:
Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]
c) Solve for that side length and then solve for x
[tex]4^2+y^2=10^2\\y=\sqrt{133} \\(\sqrt{84} )^2+7^2=x^2\\x=\sqrt{133}[/tex]
d) Solve for that side length and then solve for x
[tex]5^2+y^2=10^2\\y=\sqrt{(16^2-5^2)} \\(\sqrt{231} )^2+7^2=x^2\\x=\sqrt{235}[/tex]
-7x^2=63
Solve using the square root method
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
x=3i, -3i
Triangle ABC is given. If cos(A) = , what is sin(B)? A. B. C. D.
Answer:
cosB = cos (π/2-A)
= sinA
=8/9
Step-by-step explanation:
Please help me with the answers and I’ll just graph them
Answer:
Step-by-step explanation:
SOMEBODY PLEASE HELP!!
Answer:
c. 8
Step-by-step explanation:
Length of an arc
l = 2πr x θ/360°Given
r = 4θ = 120°Solving
2 x 3.14 x 4 x 120/3603.14 x 8 x 1/325.12/38.37 ≅ 8The consistency of repeated measurement, often expressed by the number of decimal places, is called a measurement's ______.
Answer:
measurement precision
Step-by-step explanation:
The consistency of repeated measurement, often expressed by the number of decimal places, is called a measurement's precision.
1st q pls help i dont under stand how the answer is 12000
Answer:
See below
Step-by-step explanation:
1/3 (300000) = 100 000 80% of this = 80 000
2/5 (300000) = 120000 125% of this = 150 000 total so far = 230 000
Overall 10% profit would yield 300000(1.1) = 330 000
the remaining land needs to sell for
330 000 - 230000 = 100 000
5th grade math! Can someone help me out? Offering 20 points for both of these!
Answer:
[tex]8\frac{2}{6}\\\\2\frac{1}{5}[/tex]
Fractions are sometimes the same as dividing, for this case, that rule applies.
[tex]\frac{50}{6}\\\\\frac{11}{5}[/tex]
↑ These improper fractions translate to...
[tex]\frac{50}{6} = 8\frac{1}{3} -- > 8\frac{2}{6} \\\\ \frac{11}{5} = 2\frac{1}{5}[/tex]
Answer:
1) D. 8 2/6 hotdogs
2) B. 2 1/5 cakes
Step-by-step explanation:
1) If she's dividing 50 hotdogs equally among 6 people, then you would divide 50 by 6 to find how many each person gets.
note: 50 ÷ 6 is the same as [tex]\frac{50}{6}[/tex].
[tex]\frac{50}{6}[/tex] = [tex]8\frac{2}{6}[/tex]
6 can go into fifty 8 times, so there is a whole number of 8. There is 2/6 left over, so the final result is [tex]8\frac{2}{6}[/tex].
2) If Sako makes 11 cakes and wants to share it equally among 5 people, we can divide 11 by 5 to find how many each person gets.
[tex]\frac{11}{5} =2\frac{1}{5}[/tex]
5 can go into eleven 2 times, so there is a whole number of 2. There is 1/5 leftover, so the final result is [tex]2\frac{1}{5}[/tex].
Hence, the answers are D, and B.
hope this helps!
anthony scored 8 goals in the second round. this made his total score 39. how many points did he score in the first round
Answer:
He had 31 points in the first round.
Step-by-step explanation:
Answer:
39-8= 31
Step-by-step explanation:
let the first round be x
second round =8
first round + the second round = 39
therefore, x+8=39
collect like terms
x= 39-8= 31.
so the answer is 31
What values satisfy the equation?
3n² = 147
Answer:
n=7
[tex]3 {n}^{2} = 147 \\ {n}^{2} = \frac{147}{3} \\ \sqrt{ {n}^{2} } = \sqrt{49} \\ n = 7[/tex]
Please help me!
thanks
20 people can weave a 90m2 carpet in 6 days
If 13 people work for 4 days and 8 people work for 10 days, how much carpet could they weave in total?
Solve for the value of x:-
[tex]4x-5 = 3[/tex]
[tex]4x-5 = 3[/tex]
[tex]4x = 8[/tex]
[tex]x = 8÷4[/tex]
[tex]x = 2[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \large \textbf{Let's evaluate~} [/tex]
[tex] \textsf{4x - 5 = 3} [/tex][tex] \textsf{4x = 5 + 3} [/tex][tex] \textsf{4x = 8} [/tex][tex] \textsf{x = 8 ÷ 4} [/tex][tex] \textsf{x = 2} [/tex]Kimo paid $24 for the shirt which was 75% of the regular price. What was the regular price
What is the solution of 4+ 5x+66 = x+ 10? O x = -10 Ox=3 O x=-10 or x = 3 O no solution
Hey there!
4 + 5x + 66 = x + 10
70 + 5x = x + 10
5x + 70 = x + 10
SUBTRACT x to BOTH SIDES
5x + 70 - x = x + 10 - x
5x + 70 - 1x = 1x + 10 - 1x
SIMPLIFY IT!
4x + 70 = 10
SUBTRACT 70 to BOTH SIDES
4x + 70 - 70 = 10 - 70
SIMPLIFY IT!
4x = -60
DIVIDE 4 to BOTH SIDES
4x/4 = -60/4
SIMPLIFY IT!
x = -60/4
x = -15
Therefore, your answer is: x = -15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
x = -15Step-by-step explanation:
Given :
4 + 5x + 66 = x + 10#1 : Combine like terms on each side.
4 + 5x + 66 = x + 105x + 70 = x + 10#2 : Subtract x from each side.
5x + 70 - x = x + 10 - x4x + 70 = 10#3) Subtract 70 from each side.
4x + 70 - 70 = 10 - 704x = -60#4) Divide 4 from each side.
4x/4 = -60/4x = -15Solution : x = -15
Please help!!
Find the measure of the arc or angle indicated.
A. 60°
B. 90°
C. 30°
Answer: A
Step-by-step explanation:
Need this quick! : Transformations, Congruence, and Similarity
Answer:
xz=cb = 45/60 = .75
zy=ab = 30/40 = .75
xy=ac = 37.5/50 = .75
Step-by-step explanation:
all lines when put into ratio format show .75 scale factor big to little triangle side lengths.