Answer:
the answer is 5 percent
Step-by-step explanation:
The probability of experiencing heartburn is 5 percent. Therefore, option B is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Given that, the probability of experiencing a headache is 5 percent and the probability of experiencing both a headache and heartburn is 2 percent.
Let Event A: Headache and Event B: Heartburn.
P(A)=0.05, P(A∩B)=0.02
The probability of experiencing a headache or heartburn is 8 percent, hence:
P(A∪B)=0.08
Now, P(A∪B)=P(A)+P(B)-P(A∩B)
0.08=0.05+P(B)-0.02
P(B)=0.05 or 5%
Therefore, option B is the correct answer.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ7
Select ALL the correct answers.
Select all the expressions that are equivalent to the polynomial below
(3x-7)(2x+8)
Answer:
A. 4(x - 4) + 2(3x² + 3x - 20)
C. (11x² + 7x - 55)-(5x² - 3x + 1)
F. (3x² + 5x - 28) + (3x² + 5x - 28)
Step-by-step explanation:
Given:
(3x-7)(2x+8)
= 6x² + 24x - 14x - 56
=6x² + 10x - 56
A. 4(x - 4) + 2(3x² + 3x - 20)
= 4x - 16 + 6x² + 6x - 40
= 6x² + 10x - 56
B. (3x² + 5x - 28) - (2x² + 4x + 28)
= 3x² + 5x - 28 - 2x² - 4x - 28
= x² + x - 56
C. (11x² + 7x - 55)-(5x² - 3x + 1)
= 11x² + 7x - 55 - 5x² + 3x - 1
= 6x² + 10x - 56
D. 4(x - 4) - 2(3x² + 3x - 20)
= 4x - 16 - 6x² - 6x + 40
= - 6x² - 2x + 24
E. (11x² + 7x - 55)-(5x² - 3x + 2)
= 11x² + 7x - 55 - 5x² + 3x - 2
= 11x² - 5x² + 7x + 3x - 55 - 2
= 6x² + 10x - 57
F. (3x² + 5x - 28) + (3x² + 5x - 28)
= 3x² + 5x - 28 + 3x² + 5x - 28
= 6x² + 10x - 56
Put the following equation of a line into slope-intercept form, simplifying al
fractions.
2y - 3x = 18
Answer:
Step-by-step explanation:
Simplifying
2y + -3x = 18
Reorder the terms:
-3x + 2y = 18
Solving
-3x + 2y = 18
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
-3x + 2y + -2y = 18 + -2y
Combine like terms: 2y + -2y = 0
-3x + 0 = 18 + -2y
-3x = 18 + -2y
Divide each side by '-3'.
x = -6 + 0.6666666667y
Simplifying
x = -6 + 0.6666666667y
PLEASE HELP BRO IM LOSING MY MIND (if u could explain how with the answer THATD be sick)
Answer:
y = (x+3)(x+2)(x+1)
Step-by-step explanation:
so how to determine that...
1) it has to be a third order equation (x^3) since it changes direction two times
2) it crosses the x axis at -1,-2,-3 so (x-1),(x-2),and (x-3) are factors
solve the proportion x-4/6=x/8
The solution to the proportion is x = 16.
We have,
To solve the proportion (x - 4)/6 = x/8, cross-multiply and then solve for x.
Cross-multiplying gives:
8(x - 4) = 6x
Now, distribute the 8 on the left side:
8x - 32 = 6x
Next, isolate the x term by subtracting 6x from both sides:
8x - 6x - 32 = 6x - 6x
2x - 32 = 0
Finally, add 32 to both sides to solve for x:
2x - 32 + 32 = 0 + 32
2x = 32
Divide both sides by 2:
(2x)/2 = 32/2
x = 16
Therefore,
The solution to the proportion is x = 16.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
Find the missing angle
Answer:
25
Step-by-step explanation:
[tex]x = 90 - 65 = 25 degrees[/tex]
The two outside lines form a right angle ( represented by the square). A right angle is 90 degrees.
Subtract the known angle from 90.
X= 90-65 =25
X = 25 degrees
How much more would 72,300 be from 63,100?
Answer:
9,200
Step-by-step explanation:
72,300 - 63,100 = 9,200
Help me!
Find the area of figure.
Answer:
9 cm²
Step-by-step explanation:
the area = ½× 3√2 × 3√2 = ½×18 = 9
what is the equation of a line that is perpendicular to y=1/2x+1 and passes through the point of (8,0)?
Answer:
D. y= -2x+16
Step-by-step explanation:
the slope = -1÷½ = -2
the equation :
y-0= -2(x-8)
y = -2x+16
what is the mean and median of 4,9,26,20,23,0,37??
Answer:
the median is 20 and the mean is 17
Step-by-step explanation:
The question is in the screenshot
________ collect money from investors, create capital, and offer various investment options.
Fill in the blank
its 2 words
[tex]\sf\purple{Mutual \:funds}[/tex] collect money from investors, create capital, and offer various investment options.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
find the perimeter, halla el perimetro
Answer:
28 cm
Step-by-step explanation:
The perimeter (P) is the sum of the sides
P = LE + EF + ( FG + HI + JK ) + ( GH + IJ + KL )
= 8 + 6 + 8 + 6
= 28 cm
Hyunjin has $26 and wants to buy 7 americanos for his group. Each americano costs $2.25.
How much money would he have left?
Answer:
10.25
Step-by-step explanation:
26-7(2.25)=10.25
Answer:
$10.25 would be left over
Step-by-step explanation:
Hyunjin spends 7($2.25), or $15.75, for those 7 americanos.
To find out how much money he'd have left, we subtract this $15.75 from his $26, obtaining $10.25.
please help me :)))))))))))))))))
Answer:
A
Step-by-step explanation:
third angle=180-(35+73)=180-108=72°
I need help fast in these questions.
Answer:
all...
Step-by-step explanation:
PLEASE HELP! What is the number ( code ) ?
Answer:
The number code is: 12.95
Step-by-step explanation:
98.86 + 74.57 = 173.43
345.32 - 19.78 = 325.54
0.79 x 0.86 = 0.6794
5733.75 + 75 = 5,808.75
So, if you put the numbers together you will get -
12.95
Hope this helps!
Good Luck!
:)
If you can, please mark me brainiest
(10 x 10^-3) - (2 x 10^-6)
Simplify the problem and express the answer in scientific notation. Show your work.
Please help!!!
Answer:
9.998 x [tex]10^{-3}[/tex]
Step-by-step explanation:
ANSWER: 9998 x 10^-6
[tex]{{hope it helps}}}[/tex]
Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store. Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery Store at the same time driving 50 miles per hour on the same road but she is 25 miles due East
If they keep driving and do not stop at the store, how long (in hours) will it take for them to pass on the road? Where relative to the store is this (please state a distance and whether they are East or West of the store). Round the time (in hours) to the nearest thousandth and the distance to the nearest tenth if needed.
Answer:
Step-by-step explanation:
when they meet, time taken are same.
total distance they travel=20+25=45mile
total speed=45+50=95mile/hour
time=45/95=0.474hour
0.47*45=21.4mile>20mile so they meet at east of store.
can someone please help PLEASE
Can somebody pls help I’ll give brainless
Answer:
$2
Step-by-step explanation:
bill = $10
tip = 18%
tip amount = tip % of bill
=18/100 * $10
=$180/100
=$1.8
=$2
Share £35 in the ratio 4:1
Answer:
£28 : £7
Step-by-step explanation:
sum the parts of the ratio, 4 + 1 = 5 parts
Divide the quantity by 5 to find the value of one part of the ratio
£35 ÷ 5 = £7 , then
4 parts = 4 × £7 = £28
£35 = £28 : £7 in the ratio 4 : 1
We have 2 fractions 2/5 and 3/10, and we want to rewrite them so that they have a common denominator (and whole number numerators).
Answer:
2/5=4/10 3/10
Step-by-step explanation:
2x2
5x2
Answer:
4/10 and 3/10
Step-by-step explanation:
The common denominator for 5 and 10 is 10
2/5 *2/2 = 4/10
2/5 and 3/10 with common denominators are
4/10 and 3/10
If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x).
O A. 2x-3
O B. 4x+1
ОС. 3х – 3
O D. 2x-1
Answer:
.➌×-➌
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
By definition, (f+g)(x) = f(x) + g(x)
So, (f+g)(x) = 3x - 1 + x + 2
= 4x + 1
About how many times heavier is the blue whale than the rhinoceros
Answer:
1 x 10^2
Step-by-step explanation:
(2 x 10^5) / (2 x 10^3) = 1 x 10^2
Choose a strategy and solve. Enter your answer using digits. You may need to use scratch paper or other objects.
Jim is helping his dad cook hamburgers for his family and friends. There are 15 people. Each person wants two hamburgers. Three people want hamburgers with cheese. Two people want hamburgers with mustard. Two people want hamburgers with ketchup. The rest want them plain. How many plain hamburgers will Jim and his dad make?
Answer They will make 30 hamburgers, 16 of them are plain
Step-by-step explanation:
30-6-4-4=16
Which sequence is geometric?
Answer:
4th option
Step-by-step explanation:
in geometric sequences the number is multiplied or divided by same number continuously
in the 4th option we can see that the number 1 is multiplied by 4 continuously so the correct answer would be that.
T={(-9, -8), (-3, 7), (7, -7), (-9,0)}
Answer:
hey moderators can you just comment like you dont have to ban me 6 times i just want one comment and ill stopphey moderators can you just comment like you dont have to ban me 6 times i just want one comment and ill stopphey moderators can you just comment like you dont have to ban me 6 times i just want one comment and ill stopp
Step-by-step explanation:
Answer:
−18+25+(−37)
[−18+25]+(−37)
Here we will 1
st
solve square bracket
∴[−18+25]+(−37)=7+(−37)
=7−37=−30
−30 is the sum of −18,+25 and −37
will give brainliest!
Solve for x. Exclude any extraneous solutions:
4/3x+5/4=3/x
Answer:
x = 4/3
Step-by-step explanation:
[tex]\frac{4}{3x} + \frac{5}{4} = \frac{3}{x}[/tex]
take lcm of the denominator
lcm = 12x
[tex]\frac{4*4 +5*3x}{12x} = \frac{3}{x}[/tex]
[tex]\frac{16+15x}{12x} = \frac{3}{x}[/tex]
do cross multiplication
x(16 + 15x) = 3*12x
16x + 15x^2 = 36x
15x^2 = 36x - 16x
15x^2 = 20x
x^2 = 20x /15
x*x = 4x/3
x = 4x/3/x
x = 4x/3 *1/x
x = 4x/3x
x = 4/3
I have to solve for x in a diagram. it is a right triangle, cut into a smaller right triangle and a trapezoid. The cut measure 6, the height of the triangle is 12, and the known part of the base is 9. X is the rest of the base.
the circle below is centered at (10, 4) and has a radius of 4. what is its equation?
Answer:
The equation of the circle is
Formula :
(x- h ) ² + (y-k )² = r²
or, x²-20x +100 + y² -8y + 16 = 16
or, x² + y² -20x -8y + 100 = 0 is the required equation