Answer:
[tex]for \: independent \: events : \\ P(AUB) = P(A) + P(B) \\ P(AUB) = \frac{2}{3} + \frac{1}{5} \\ = \frac{13}{15} [/tex]
Step-by-step explanation:
P(AUB) is P(A) + P(B) because P(AnB) is zero.
[tex]P(AUB) = P(A) + P(B) - P(A{ \huge{n} }B) \\ P(AUB) = P(A) + P(B) + 0[/tex]
What is an equation for the line that passes through the coordinates (2, 0) and (0, 3)?
PLEASE HELP DUE IN 15 MINUTES
9514 1404 393
Answer:
3280Step-by-step explanation:
The equation y = 8x means the value given for x is multiplied by 8.
1. 8 × 4 = 32 . . . scales in 4 days
2. 8 × 10 = 80 . . . scales in 10 days
x^2+2x+7=21 the approximate value of the greatest solutoon to the equation, rounded to the nearest hundreth
9514 1404 393
Answer:
x ≈ 2.87
Step-by-step explanation:
We can subtract 6 to put the equation into a form easily solved.
x^2 +2x +1 = 15
(x +1)^2 = 15
x +1 = √15 . . . . . for the greatest solution, we only need the positive root
x = √15 -1 ≈ 2.87
In the accompanying diagram of circle O, chords AB and CD intersect at E. If AE = 3, EB = 4, CE = x, and ED = x + 1, find. CE.
Answer:
CE = 3
Step-by-step explanation:
Given:
AE = 3
EB = 4
CE = x
ED = x + 1
Required:
CE
Solution:
First we need to determine the value of x by generating am equation as follows:
CE × ED = AE × EB (Interacting Chords Theorem)
Substitute
x × (x + 1) = 3 × 4
x² + x = 12
Subtract 12 from each side
x² + x - 12 = 12 - 12
x² + x - 12 = 0
Factorize to find the value of x
x² + 4x - 3x - 12 = 0
x(x + 4) -3(x + 4) = 0
(x - 3)(x + 4) = 0
x - 3 = 0
x = 3
Or
x + 4 = 0
x = -4
Let's use the positive value of x
CE = x = 3
AB = 6 cm, AC = 12 cm
Calculate the length of CD.
Give your answer to 3 significant figures.
12 cm
55°
6 cm
Answer:
12.7 cm
Step-by-step explanation:
We can obtain CB using Pythagoras :
CB = √12² - 6²
CB = √108
CB = 10.39
Using CB,
We can apply trigonometry on triangle BCD to obtain the length of CD
Sin θ = opposite / hypotenus
Sin 55 = CB / CD
Sin 55 = 10.39 / CD
CD = 10.39 / sin 55
CD = 12.68
CD = 12.7 cm
Please solve for angle C
Answer:
29
Step-by-step explanation:
tan c = opposite / adjacent
c = tan -1 (25/45) = 29
Answer:
Step-by-step explanation:
tan C = opp/adj
sin C = 25/45
sin C = 0.5556
C = sin^-1 0.5556
= 33.75
PLEASE HELP ME!!!
WILL BE WORTH 10 POINTS!!!
I WILL MARK BRAINLIEST!!!
Please answer the 3 questions on the picture.
I would appreciate it so much!
Write the equation in standard form for the circle with center (0, -2) and radius 7.
Answer:
(x)^2+ (y+2)^2 = 49
Step-by-step explanation:
The standard form of a circle is
(x-h)^2+ (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x-0)^2+ (y--2)^2 = 7^2
(x)^2+ (y+2)^2 = 49
Please hurry
A rectangular prism has a length of 9 cm, a width of 3 cm, and a height of 5 cm.
5
9
Which expressions can be used to find the volume of the prism?
Choose two correct answers.
(5)(3)(9)
27(5)
9(3+5)
5 (279)
Answer:
the first one and the second
Step-by-step explanation:
.
The pyramid shown below has a square base, a height of 7, and a volume of 84 cubic units.
What is the length of the side of the base?
12
36
6
18
Find the value of x. Leave your answer in simplest radical form.
This college has one of the highest median graduation rates and the best consistency in graduation rates over time.
Answer:
70 has the most groups
Step-by-step explanation:
from the graph
Answer:
Step-by-step explanation:
The dark blue graph illustrates these two requirements. The rates represented there have the highest median.
Same graph illustrates consistency in outcomes, as the graduation rates vary little from their median.
Kate lanes a letter against her house to get to the roof. The house is 25 feet tall and I put a ladder is 15 feet away from the side of the house. What is the angle that the latter makes with the ground?
Answer:
this is the correct answer
a phone company uses the expression 1.25 + 0.10m to calculate the cost of a phone call that lasts m minutes. what is the cost of a call that lasts 20 minutes?
Answer:
[tex]f(20) =3.25[/tex]
Step-by-step explanation:
Given
[tex]f(m) = 1.25 + 0.10m[/tex]
Required
[tex]f(20)[/tex]
We have: [tex]f(m) = 1.25 + 0.10m[/tex]
Substutute 20 for m
[tex]f(20) =1.25 + 0.10*20[/tex]
[tex]f(20) =1.25 + 2[/tex]
[tex]f(20) =3.25[/tex]
Does this a graph show a function? Explain how you
know.
O A. Yes; there are no y values that have more than one x-value.
O B. No; there are y-values that have more than one x-value.
O C. Yes; the graph passes the vertical line test.
O D. No; the graph fails the vertical line test.
Answer:
D. No; the graph fails the vertical line test.
Step-by-step explanation:
If any vertical line intersects a graph more than once it is NOT a function
In the accompanying diagram of circle o, chords AB and CD
intersect at E. If AE = 3, EB = 4, CE = x, and ED = x +1,
find CE
Answer:
x = 3
Step-by-step explanation:
Given :
AE = 3, EB = 4, CE = x, and ED = x +1,
Equating chord AB and CD
AE*EB = CE*ED
3*4 = x*(x+1)
12 = x² + x
x² + x - 12 = 0
x² +4x - 3x - 12 = 0
x(x + 4) - 3(x + 4)
(x + 4) = 0 or (x - 3) = 0
x = - 4 or x = 3
Distance can't be negative :
x = 3
estimate the quotient for the following problems. 482 ÷ 5
Answer:
100
Step-by-step explanation:
482 ÷ 5 = 96.4
96.4 -> 100
Hope this helps! Brainliest?
Answer:
Quotient: 96
Step-by-step explanation:
482/5= 96R2
Quotient: 96
Remainder: 2
QueSLUIT Consider the universal set U of all the integers from 2 to 20, including both 2 and 20. Let B be the set of multiples of 2, not counting 2 itself. Find Bº. Write your answer in standard set notation, for example {1,2,3,4,5). Do not use the notation B° = in the answer
Step-by-step explanation:
{2,3,5,7,9,11,13,15,17,19}
II. Which of the following is a solution of
the equation 25m 25?
A 0.10
B 0.15
C 0.18
D 0.30
Answer:
A 0.10
Step-by-step explanation:
We are given the following equation:
[tex]25m = 2.5[/tex]
Passing 25 to the right side of the equality, doing the inverse operation(division).
[tex]m = \frac{2.5}{25} = 0.1[/tex]
Thus, the correct answer is given by option A.
lim x->1+( sin(1-x)-(e^(x-1))+1)/ lnx
We're given the one-sided limit,
[tex]\displaystyle\lim_{x\to1^+}\frac{\sin(1-x)-e^{x-1}+1}{\ln(x)}[/tex]
Evaluating the limand directly at x = 1 gives the indeterminate from
(sin(1 - 1) - exp(1 - 1) + 1) / ln(1) = 0/0
so we can potentially solve the limit by applying L'Hopital's rule. Doing so gives
[tex]\displaystyle\lim_{x\to1^+}\frac{\sin(1-x)-e^{x-1}+1}{\ln(x)}=\lim_{x\to1^+}\frac{-\cos(1-x)-e^{x-1}}{\frac1x}=\frac{-\cos(0)-e^0}{\frac11}=\boxed{-2}[/tex]
A student needs 12 minutes to solve an algebra problem how many minutes does the student need to solve 6 problems
Answer:
72
Step-by-step explanation:
12 * 6 = 72
of course, IRL not every problem takes the same amount of time
Answer: if they are all algebra questions then 72
Step-by-step explanation:
12 + 12 + 12 + 12 + 12 + 12= 70
x−9≥−12 Express your answer as an inequality.
Answer:
x ≥ −3
Step-by-step explanation:
Step One : Add 9 to both sides.
x − 9 + 9 ≥ −12 + 9
x ≥ −3
There is no more to be done, that is our answer. x ≥ −3.
Hope this helps, please mark brainliest! :)
a rectangular room is 15ft long, 14ft wide and 8.0ft high. what is the length of the longest diagonal from one corner to another of the room
Answer:
20.51ft
Step-by-step explanation:
Given data
Length= 15ft
Width= 14ft
Height= 8ft
Because we want to find the diagonal, let us use the Length and the width
We can get the diagonal by applying the Pythagoras theorem
z^2= x^2+y^2
z^2= 15^2+ 14^2
z^2= 225+ 196
z^2= 421
square both sides
z= √421
z=20.51 ft
Hence the diagonal is 20.51ft
QUESTION 14 · 1 POINT
Translate the English phrase into an algebraic expression: 6x less than 81xsquared
Answer:
Step-by-step explanation:
81x² - 6x
Answer:
81x² - 6x
Step-by-step explanation:
81x² - 6x
Which graph shows Point Pin Quadrant II and Point Q as (3,-4)
Answer:
p would be up top on the negative side (left)
q would be at the bottom on the positive side (right)
The first step to solve the equation StartFraction x over 4 EndFraction minus three-fourths = 16 is shown below.
StartFraction x over 4 EndFraction minus three-fourths + three-fourths = 16 + three-fourths
Which property was applied in this step?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equalit
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
5
60°
10
x
Not drawn to scale
Answer:
D
5 sq.rt. 3
Step-by-step explanation:
use the pythagorean theorem: a^2 + b^2 =c^2
5^2 + x^2 = 10^2
25+ x^2 =100
x^2 = 100 - 25
x^2 =75
x = [tex]\sqrt{75}[/tex]
x = 5 [tex]\sqrt{3}[/tex]
complete the equation describing how X and Y are related.
Answer:
y=3x-2
Step-by-step explanation:
Phương trình có dạng: ax+b=y
Chọn 2 hàng bất kì để tạo thành một hệ phương trình 2 ẩn, ta có:
-2a+b=-8 và –a+b=-5
Giải hệ phương trình ta được a=3, b=-2
[tex]xy = 3xy + 25 \\ 3 = y - 20[/tex]
solve for x andy
Answer:
x= -0.5
y= 23
Step-by-step explanation:
3=y-20 so y= 23
xy=3xy+25
23x=69x+25
-46x= 25
x=-0.5
I have a linear equation word problem pic to follow