Probabilities are used to determine the chances of an event
The probability of event B is 0.62
The probabilities are given as:
[tex]\mathbf{P(A) = 0.48}[/tex]
[tex]\mathbf{P(A\ and\ B) = 0.21}[/tex]
[tex]\mathbf{P(A\ or\ B) = 0.89}[/tex]
To calculate the probability of event B, we make use of the following formula
[tex]\mathbf{P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)}[/tex]
So, we have:
[tex]\mathbf{0.21 = 0.48 + P(B) - 0.89}[/tex]
Collect like terms
[tex]\mathbf{P(B)= -0.48 +0.21 + 0.89}[/tex]
[tex]\mathbf{P(B)= 0.62}[/tex]
Hence, the probability of event B is 0.62
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which sign makes the statement true?
A.<
B. >
C. =
Answer:
-7 1/2 equals to -7.5
so
-7.5 ___ -7.75
-7.5 > -7.75
You are given a picture that is 2 inches wide and 3 inches tall. You have to make a
poster that is 12 inches wide. How many inches tall would the poster be? *
O 10 inches
12 inches
15 inches
O 18 inches
Answer: 18 inches
Step-by-step explanation:
2 x 6 = 12 inches (wide)
3 x 6 = 18 inches (tall)
Here's the Question ~
[tex] {2 - 1}^{2} [/tex]
Answer:
The answer is 1
Step-by-step explanation:
1² = 1×1
= 1
2 - 1² = 2 - 1
= 1
Solve for x using common denominators. 3 over the quantity 5 times the binomial x minus 4 equals x over the quantity x minus 4 −5 over 3 5 over 3 −3 over 5 3 over 5
Answer:
(d) 3/5
Step-by-step explanation:
The equation ...
[tex]\dfrac{3}{5(x-4)} =\dfrac{x}{x-4}[/tex]
can be rewritten so that each side has the same denominator. Then the solution can be found by equating the numerators.
[tex]\dfrac{3/5}{x-4} =\dfrac{x}{x-4}\\\\\boxed{\dfrac{3}{5} =x}[/tex]
_____
Additional comment
"Equating the numerators" is equivalent to multiplying both sides by the common denominator. Of course, any value of the variable that makes the denominator zero is excluded from the solution set.
18 POINTS! WHAT IS THE ANSWER TO 1 2 3 AND 4 IN THE SCREENSHOT? PLEASE HURRY! P.S. BRAINLIEST
Answer:
J, B, A, L
Step-by-step explanation:
The awnser to question one is J, the awnser to questions two is B, the awnser to question three is A and the awnser to question four is L. Hope this helps.
Tammy’s home cost her $184,000. She lives in an area with a lively real estate market, and her home increases in value by 3. 5% every year. If Tammy sells her home after thirteen years, how much profit will she have made, to the nearest hundred dollars? a. $8,500 b. $87,800 c. $83,700 d. $103,800.
The profit to be made when she sells the house is $103,800.
The first step is to determine the value of Tammy's house in 13 years. The formula to be used is:
FV = P (1 + r)^n FV = Future value P = Present value R = interest rate N = number of years$184,000 x (1.035)^13 = $287,767.92
Profit = value of the house in 13 years - cost of the house
$287,767.92 - $184,000 = 103,767 = $103,800
To learn more about future value, please check: https://brainly.com/question/18760477
The circumference of a circle is 12.56 feet. What is the circle's area?
[tex]\huge \sf༆ Answer ༄[/tex]
As we know, Circumference of the circle can be expressed as :
[tex] \large \boxed{ \: \: \: \: \: \sf2\pi r \: \: \: \: \: }[/tex]
where, r is the radius of the circle, now equate the expression with the given Circumference to find the Radius.
[tex] \sf2\pi r = 12.56[/tex][tex] \sf \: r = \dfrac{12.56}{2\pi} [/tex][tex] \sf \: r = \dfrac{12.56}{2 \times 3.14} [/tex][tex] \sf \: r = \dfrac{12.56}{6.28} [/tex][tex] \sf \: r = 2 \: \: ft[/tex]Therefore, it's radius is 2 feet.
Now, let's calculate its area using the formula ~
[tex] \large \boxed{ \: \: \: \: \: \: \sf \pi {r}^{2} \: \: \: \: \: \: }[/tex]
plug the value of r (radius) as 2.
[tex] \sf3.14 \times {2}^{2} [/tex][tex] \sf3.14 \times 4[/tex][tex] \sf12.96 \: \: ft {}^{2} [/tex]Area of circle is 12.96 ft²
Mitchell buys a $1,400 dryer with an installment plan that requires 17% down. How much is the down payment?
The amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238
Given:
Total cost of dryer = $1,400
down payment percentage = 17%
Amount paid for down payment = 17% of $1,400
= 17/100 × 1400
= 0.17 × 1400
= $238
Therefore, the amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238
Learn more about percentage:
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Complete the sentence.
Twenty-four is % of 80.
Answer: 24 of 80 is 30%
Step-by-step explanation:
24 of 80 can be written as: 24/80
To find percentage, we need to find an equivalent fraction with denominator 100. multiply both numerator & denominator by 100: 24/80 x 100/100
= (24x100 / 80 ) x 1/10 = 30/100
Therefore, the answer is 30%
If you are using a calculator, simply enter 24÷80×100 which will give you 30 as the answer.
solve this
(below, in picture)
137x723+462x50=?
do yall think its ok for your girl to k.i.s.s. other people?
and would yall let it slide and think it was a joke?
HELP PLEASE!!!!!!!!!
Answer:
-1/4
Step-by-step explanation:
please mark brainliest
Please help with this I will mark you as brainliest
Answer:
The answer is t = 0.25
Step-by-step explanation:
Answer:
t = 0.25
Step-by-step explanation:
help pls please hmmm
Step-by-step explanation:
Here is your answer
(2)⁴*³2¹²Answer:
2^12
Step-by-step explanation:
Since 2^4 is already powered you will only power the 4 and not the 2
For example (a^2)^3 = a^6
and not a*a*a^6
You only power the 2 and not the "a"
Hope this helps!
pls help Pls no links
Hey there!
3^15/ 3^3
3^15
= 3*3*3*3*3*3*3*3*3*3*3*3*3*3*3
= 9*9*9*9*9*9*9*3
= 81*81*81*27
= 6,561 * 2,187
= 14,348,907
= 14,348,907/3^3
3^3
= 3*3*3
= 9*3
= 27
14,348,907/27
= 531,441
15 - 3 = 12
= 3^12
Because
3^12
= 3*3*3*3*3*3*3*3*3*3*3*3
= 9*9*9*9*9*9
= 81*81*81
= 6,561*81
= 531,441
531,441 ≈ 3^12
Therefore, your answer should be: 3^12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
solve using the quadratic formula:
3x=2x^2-2
Answer:
[tex]x=2\\x=-\frac{1}{2}[/tex]
Step-by-step explanation:
1) Move terms to the left side.
[tex]3x=2x^{2} -2\\3x-(2x^{2}-2)=0[/tex]
2) Distribute.
[tex]3x-(2x^{2} -2)=0\\3x-2x^{2} +2=0[/tex]
3) Rearrange terms.
[tex]3x-2x^{2} +2=0\\-2x^{2} +3x+2=0[/tex]
4) Common factor.
[tex]-2x^{2} +3x+2=0\\-(2x^{2} -3x-2)=0[/tex]
5) Divide both sides of the equation by the same term.
[tex]-(2x^{2} -3x-2)=0\\2x^{2} -3x-2=0[/tex]
6) Use the quadratic formula.
[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
[tex]2x^{2} -3x-2=0\\a=2\\b=-3\\c=-2[/tex]
[tex]x=\frac{-(-3)+\sqrt{(-3)^{2} -4*2(-2)} }{2*2}[/tex]
7) Simplify.
Evaluate the exponent
[tex]x=\frac{3+\sqrt{(-3)^{2}-4*2(-2) } }{2*2}[/tex]
[tex]x=\frac{3+\sqrt{9-4*2(-2)} }{2*2}[/tex]
Multiply the numbers
[tex]x=\frac{3+\sqrt{9-4*2(-2)} }{2*2}[/tex]
[tex]x=\frac{3+\sqrt{9+16} }{2*2}[/tex]
Add the numbers
[tex]x=\frac{3+\sqrt{9+16} }{2*2}[/tex]
[tex]x=\frac{3+\sqrt{25} }{2*2}[/tex]
Evaluate the square root
[tex]x=\frac{3+\sqrt{25} }{2*2} \\x=\frac{3+5}{2*2}[/tex]
Multiply the numbers
[tex]x=\frac{3+5}{2*2}[/tex]
[tex]x=\frac{3+5}{4}[/tex]
8) Seperate the equations.
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
[tex]x=\frac{3+5}{4}[/tex]
[tex]x=\frac{3-5}{4}[/tex]
9) Solve.
Rearrange and isolate the variable to find each solution.
[tex]x=2\\x=-\frac{1}{2}[/tex]
One student claims that 25% is equivalent to 1/4%. Is that correct? Why or why not?
Answer:
ya
Step-by-step explanation:
25 percent is equally to 25 over 100 which is 1over4
The sum of Ellie's age and Genya's age is 60. In sex years, Genya will be eight times older than Ellie will be. How old is Ellie now?
Answer:
ellie is 2 and genya is 58, explanation in picture attached
A scatterplot is used to display data for a runner where x is the number of miles run, and y is the time, in minutes, that it takes to run that distance. Which interpretation describes a line of best fit of y = 9. 5x for the data in the scatterplot? For each 1 minute, the runner ran 9. 5 miles. For each 9. 5 minutes, the runner ran 1 mile. The minimum distance with a recorded time is 9. 5 miles. The maximum distance with a recorded time is 9. 5 miles.
The interpretation that describes a line of best fit of y = 9.5x for the data in the scatterplot is (a) For each 1 minute, the runner ran 9.5 miles
The equation of the line of best fit is given as:
[tex]y = 9.5x[/tex]
The line of best fit is represented as:
[tex]y = mx + b[/tex]
Where m represents the rate or slope.
So, by comparison:
[tex]m = 9.5[/tex]
This means that, the number of miles travelled every minute is 9.5
Hence, the true statement is (a)
Read more about regression equations at:
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HELP!!!
42 is the product of 6 and y
Answer:
7
Step-by-step explanation:
Divide the 42 by 6 to get your answer. 42/6=7
This also works in reverse. 6*7=42
The answer: 42 is the product of 6 and y=7
Ok done. Thank to me :>
A file that is 261 megabytes is being downloaded. If the download is 17.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answer:
44.6 megabytes
Step-by-step explanation:
If 261 megabytes = 100% and we are looking for 17.1% then we can make a cross product.
261= 100
? = 17.1
It means that (17.1x261)/100 = 44.631
If we round our answer it equals 44.6
The height y, in feet, of a football x seconds after it is thrown is modeled by the equation y = â€"16x2 24x 1. What information does the zero of the equation 6 = â€"16x2 24x 1 represent? the height of the ball after 6 seconds when the ball is 6 ft above the ground the initial upward velocity of the ball the horizontal distance traveled by the ball when it is 6 ft above the ground.
The zero of the equation [tex]6 =- 16x^2+24x+1[/tex] represents the moment when the ball is 6 ft above the ground.
Given that,
The height y, in feet, of a football x seconds, after it is thrown is modeled by the equation,
[tex]\rm y=- 16x^2+24x+1[/tex]
We have to determine,
What information does the zero of the equation [tex]6 =- 16x^2+24x+1[/tex]represent?
According to the question,
In the quadratic equation for the ball's height, it is found that the zero of the equation represents,
[tex]\rm 6 =- 16x^2+24x+1[/tex]
The instant of the time x is when the ball is 6 ft above the ground.
The height of the ball is y(x), after x seconds, is modeled by:
[tex]\rm y =- 16x^2+24x+1[/tex]
The equation given is,
[tex]\rm y =- 16x^2+24x+1[/tex]
In which the height is 6 feet above the ground, and the zeroes are the instants of time when the ball is 6 ft above the ground.
Hence, These points represent the moment when the ball is 6 ft above the ground.
For more details refer to the link given below.
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Explain WHAT WOULD HAPPEN TO motion IF friction DID NDT EXIST.
Answer:
If friction did not exist, it would be hard for us to slow down in running, or putting breaks on a car, and more!
If friction did not exist, your car will slide down the road even if you try your best to put the brakes on a car. Friction is a very important force to slow down things that are moving very fast
Step-by-step explanation:
Hoped this helped.
[tex]GeniusUser[/tex]
16.A company sells calculators for $35 each. Businesses
must order a minimum of 100 calculators, and they
must pay a shipping cost of $50. Which amount of
money represents a reasonable sum that a business
might spend to purchase calculators?
F $750
H $2990
G $1070
I $3585
Answer: $3550 or letter: I
Step-by-step explanation: 35*100= $3,500 + $50 (tax)= $3,550 or in your case it is closest to letter i
The sum of two numbers is 80
their difference is 38.
The product of these 2 numbers is __?
PLS HELP AND ANSWER CORRECTLY 15 POINTS AND BRAINLIEST!!!
how can you test to see if a given point is in the solution set of a system of inequalities?
Answer:
you can plug the point into the inequality and see if it works
Step-by-step explanation:
If I have xy>4 and I want to test the point 4,6 I would take xy which would be 4 and 6 because those are the numbers from the coordinates. when writing coordinates x is the first number and y is the second. 4 times 6 because x times y which is xy is equal to 24 now we have 24>4 and this is true
A man borrowed Rs.8000 for one year at the rate of 15% per annum. Find
the interest
Answer:
I = 8000×1×15
--------------
100
I = 120000
----------
100
I = Rs 1200
Use the associative property to simplify the expression.
43 +30 + 70
O A. 43 + 10(3 + 7) = 43 + 10(10) = 143
O B. 43+ (30 + 70) = 43 + 100 = 143
O C. 43 + 30 + 70 = 73 + 70 = 143
O D. 43 + 70 + 30 = 113 + 30 = 143
Answer:
the answer is 143 cus u add throw
through
Can anyone help me with this?
pls i cant do this more longer i need help i will give brainlist !!!!!!!!!
Basically, 6 is the base number for this. The equation for this is 6 * 3^n
The 12th number in this sequence is 3,188,646
Hope this helps :)
Answer:
Step-by-step explanation:
6, 18, 54, 162, ...
[tex]a_{1}[/tex] = 6
r = 3
[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]
[tex]a_{12}[/tex] = 6 × [tex]3^{11}[/tex] = 1,062,882