The conditional probability that the carbon emission is beyond the permissible emission level and the test predicts this is given by:
a. 0.2975.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, we have that the events are as follows:
Event A: Carbon emission beyond the permissible emission level.Event B: Test predicts this.We have that 35% of the units have carbon emission beyond the permissible emission level, and the test is 85% accurate, hence:
[tex]P(A) = 0.35, P(B|A) = 0.85[/tex]
Then:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]0.85 = \frac{P(A \cap B)}{0.35}[/tex]
[tex]P(A \cap B) = 0.85(0.35) = 0.2975[/tex]
Which means that option a is correct.
More can be learned about conditional probability at https://brainly.com/question/14398287
#SPJ4
HELLPP!
Change 17/34 into a percent. Show your work.
Answer:
50%
Step-by-step explanation:
[tex] \frac{17}{34} = \frac{1}{2} = 50\%[/tex]
CAN SOMEONE HELP ME PLEASE?
Answer:
values
x=17
AT = 49 units
OG = 21 units
Marsha sold 78 boxes of cookies. 51 boxes
were chocolate mint cookies. Of the remainder
sold, 1/3 were peanut butter crunchies. How many
boxes of peanut butter crunchies did Marsha sell?
Answer: 9
Step-by-step explanation:
78 subtract 51 is 27. One third of 27 is 9.
Would somebody be willing to help me please! I really need to pass this lesson!!
Answer:
x= -2 y= 36 (-2. 36)
x = -1 y = 6 (-1, 6)
x = 1 y = [tex]\frac{1}{6}[/tex] (1, [tex]\frac{1}{6}[/tex])
Step-by-step explanation:
Our function is [tex]y = (\frac{1}{6})^x[/tex]
all we need to do is fill in our x (given in the table) to solve for y
[tex]y = (\frac{1}{6})^{-2}[/tex]
[tex]y = 36[/tex]
[tex]y = (\frac{1}{6})^{-1}[/tex]
[tex]y = 6[/tex]
[tex]y = (\frac{1}{6})^1 = \frac{1}{6}[/tex]
Some paint is made by mixing 2 cans of white paint for every 5 cans of red
paint. To make the same tint, how many cans of white paint would you need if
you used 13 cans of red paint? Explain how you solved the problem.
A bag contains 5 blue marbles and 3 yellow marbles. You randomly select two marbles from the bag. What is the probability that both marbles are blue when you replace each marble before selecting the next marble? Write your answer as a decimal rounded to three decimal places.
Answer:
0.625
Step-by-step explanation:
5/8 because there are 5 blue marbles and there are 3 yellow marbles. If you add them it equals 8.
The probability is 5/8.
If you do 5 divided by 8 it gives you 0.625.
Honestly i don't know what you mean by "rounded to three decimal places."
Sorry if it's not really healpful.
Urgent Please Help!!!!
What percentage of scores lie in the shaded region? Use the empirical rule to find your answer.
Answer:
81.5%
Step-by-step explanation:
calculate the magnitude of the angle ABC from the breeze data
Answer:
∠ ABC = 67°
Step-by-step explanation:
the angle between a tangent and a chord is equal to the angle in the opposite segment, that is
∠ ABC = ∠EAC = 67°
Find the slope of the line that goes through the given points! A(2,8) and B(4,6)
(WHOEVER ANSWERS FIRST AND CORRECTLY WILL BE BRAINLIEST!!!)
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
Find the slope of the line that goes through (2, 8) and (4, 6)
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
The slope formula will help us find the slope, Here it is:-
[tex]\Large\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}[/tex]
Now, replace y2 with 6, y1 with 8, x2 with 4, and x1 with 2:-
[tex]\Large\text{$\displaystyle\frac{6-8}{4-2}$}[/tex]
Simplifying,
[tex]\Large\text{$\displaystyle\frac{-2}{2}$}[/tex]
Simplifying further,
[tex]\hookrightarrow\underline{\boxed{\sf{Slope=-1}}}[/tex]
Good luck with your studies.#TogetherWeGoFar
[tex]\rule{300}{1}[/tex]
Answer:
[tex]\sf \boxed{-1} \ \ is \ the \ slope[/tex]
Explanation:
[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]
Here given points: A(2,8) and B(4,6)
Find slope (m):
[tex]\sf \rightarrow \dfrac{6-8}{4-2}[/tex]
simplify
[tex]\sf \rightarrow -1[/tex]
AdditionalTo find equation:
[tex]\sf y-y_1 = m(x-x_1)[/tex]
[tex]\rightarrow y-8 = -1(x-2)[/tex]
[tex]\rightarrow y = -x+2+8[/tex]
[tex]\rightarrow y = -x+10[/tex]
Colin's family started driving to Grandma´s house at 8:00 am. The family arrived at 11:30. How long did it take to drive to Grandma´s house? use the number line to solve the problem. (pls help)
Answer:
3 hrs 30 min
Step-by-step explanation:
Non-Liner System of Equations:
I created two systems of equations (one being linear one being quadratic) and need to solve them algebraically with work shown.
pls help
f(x) = 3x + 5
f(x) 3x^2 + 5
Answer: x=1, x=0
Step-by-step explanation:
Divide 15/18 by 6 any answers??
Answer:
[tex] \frac{5}{36} [/tex]
Step-by-step explanation:
[tex] \frac{15}{18} \div 6 \\ = \frac{15}{18} \times \frac{1}{6} = \frac{5}{18\times 2} = \frac{5}{36} [/tex]
wat is 2+2? im doing this to give you an extra 2 points!
Answer:
oh oh....I know...it's 4....I'm I right
Answer:
4
Step-by-step explanation:
Thanks btw
Let's pretend the [] are boxes.
[] this is one box.
[] [] these are 2 boxes, which is 2
if you put 2 plus 2,
[] [] + [] []
count them, you get 4
Hooray!
If you dunno how to count, you just see each of the boxes, then count up
1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and so on. when you stop seeing the boxes, stop counting - the number you're on is the answer to your + question!
Kindly help me solve this questions
a) 3/X+2-2=1/1/2
b) 3(4-7x)/5-0.7=x-6/2
Answer:
a) x=6
b) x= 498/463
hope this helps!!
What are “holes” in algebra 2?
Answer:
Step-by-step explanation:
A hole exists on the graph of a rational function at any input value that causes both the numerator and denominator of the function to be equal to zero.
5b2 square value of b is 4
Answer:
80
Step-by-step explanation:
5b^2
b equals to 4=5(4^2)
=5(16)
=80
a song has 12 beat in 5 second . how many beats are in 30 seconds
Prove: An odd number squared is an odd number. = (2n + 1)2
Answer:
[tex] {(2n + 1)}^{2} = 4 {n}^{2} + 4n + 1 = 2(2 {n}^{2} + 2n) + 1[/tex]
Options :
(24 - n ) - 6
(25 - n) + 6
25 + 4x
25 - (6 + n)
Answer: 25 - (6 + n)
Explanation:The number 25 is decreased by and sum of number.
The numbers are 6 and n, Their Sum = (6 + n)
When 25 is decreased by this sum of numbers
25 - (6 + n)Answer:
25 - (6+n)
Step-by-step explanation:
Important terms:
Decreased means to go down which represents subtraction Sum means the total amount which represents additionLet "a number" = nFinding the answer
We want to find a word phrase that matches the expression, 25 decreased by the sum of 6 and a number.
Using the terms we just defined we know that the sum of 6 and a number would be 6 + n. ( as again sum = addition or total amount of )
25 is being decreased by the sum of 6 and n so in other words the sum of 6 + n is being subtracted by 25 which would result us in getting 25 - (6+n)
Why the "6+n" must be in parenthesis
The 6 + n must be in the parenthesis because the individual sum of those two numbers is being subtracted from 25.
HELPPPPPPP! DUE TOMORROW
Answer:
Angle 1 = 63.3
Angle 2 = 37.3
Angle 3 = 63.3
Angle 4 = 142.7
Step-by-step explanation:
When a line intersects two parallel lines the interior angles are equal. So angle 2 = 37.3
Angle 3 = 180 - (79.4 + 37.3) = 63.3 since the sum of the angles on a straight line must be 180
Ange 1 = Angle 3 = 63.3
Angle 4 = 180-37.3 = 142.7
Simplify: √(x^2-6x+9) if x<3
A car has an average speed of 45 miles per hour. how long will it take to travel 360 miles? which equation and decimal form are represented by the visual model?
Answer:
It would take 8 hours to drive 360 miles.
Step-by-step explanation:
360/45=8
D=R*T
Each hour, the number of bacteria in Dr. Nall’s petri dish tripled. What percent is the population compared to the population the hour before?
3%
9%
I need 20 letters so I'm just typing this but it is 9%
Does anybody know this? Find the circumference of a circle if the diameter is 8 meters do not round your answer use 3.14 for pi
Answer:
The circumference of the circle is 25.12 meters
Step-by-step explanation:
By definition, the circumference of a circle is the perimeter or the length around the circle.
To find the circumference of a circle, all we need to do is multiply the radius by pi and 2. Giving us the equation :
C = 2 * pi * r
We are also given that the diameter of the circle is 8 meters. With this, we can cut it in half to get the radius. 8 / 2 = 4
Now, we plug in our values:
2 * 3.14 * 4
When we evaluate this, we get the answer to be : 25.12
The circumference of the circle is 25.12 meters
Extra references for the definitions of radius and circumference.
The radius is the length from the center of the circle, to the outside (perimeter aka circumference point) of it. The diameter is the length across one end of the circle, to the other end, crossing through the center point.
scale drawings
the scale drawing car length
is 3.5 cm. if the scale is
1 cm:4.5 ft, what is the actual car
stion length?
length?
Answer:
13•5ft
Step-by-step explanation:
1cm = 4.5ft
3cm = x
cross multiply
x= 3×4•5
:- x = 13•5ft
A city Science High School uses standardized IQ test to screen students for admission. It is known that the population standard deviation of these IQ scores is 15. The school principal claimed that the average IQ of the students in their school is 110. Miss Cruz, a researcher, wants to validate the claim. She selected a random sample of 50 students and administered the IQ test. She found that the mean IQ of the sample is 105. Perform a test of hypothesis at 0.05 level of significance.
Using the z-distribution, it is found that we reject the null hypothesis, which means that her claim is not validated.
What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 110, that is:
[tex]H_0: \mu = 110[/tex].
At the alternative hypotheses, it is tested if the mean is less than 110, that is:
[tex]H_1: \mu < 110[/tex].
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.In this problem, we have that the parameters are given as follows:
[tex]\overline{x} = 105, \mu = 110, \sigma = 15, n = 50[/tex]
Hence the test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{105 - 110}{\frac{15}{\sqrt{50}}}[/tex]
z = -2.36.
What is the decision?Using a z-distribution calculator, z = -2.36 has a p-value that is less than the standard significance level of 0.05, hence we reject the null hypothesis, which means that her claim is not validated.
More can be learned about the z-distribution at https://brainly.com/question/16313918
#SPJ1
How many graduates from university a had an income under 20,000
If m<1 = 40 degrees , what is m<2 m<3 and m<5
Answer & step-by-step explanation:
Corresponding Angles: m∠1 = m∠5; m∠2 = m∠6;
m∠3 = m∠7; m∠4 = m∠8
Alternate Interior Angles: m∠3 = m∠6; m∠4 = m∠5
Alternate Exterior Angles: m∠1 = m∠8; m∠2 = m∠7
As you can see on the picture below:
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3200 seats. The students filled 2496 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
The percentage of the seats in the theater were filled by the 6th graders on the trip is 78%.
What is the percentage?Percentage is a measure of frequency that is expressed as the fraction of a number out of 100.
The percentage of the seats in the theater were filled by the 6th graders = (number of filled seats / total number of seats) x 100
(2496/3200) x 100 = 78%
To learn more about percentages, please check: https://brainly.com/question/25764815
#SPJ1
Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. the table below shows the information about the two credit cards marcia currently uses. card a card b amount $1,389.47 $1,065.32 apr 16% 12% monthly payment $39.38 $28.05 after 4 years, approximately how much will marcia have saved in interest by consolidating the two balances? a. $1,890.24 b. $133.92 c. $543.84 d. $1,346.40 please select the best answer from the choices provided. a b c d
The amount save by Marcia in interest by consolidating the two balances is $133.92.
What is the total payment for APR of 16%?
The total monthly payment for APR of 16% is calculated as follows;
Total monthly payments for 16% =$39.38x48 = $1890.24
What is the total payment for APR of 12%?Total monthly payments for 12% APR = $36.59*48 = $1756.32
Amount saved by MarciaA = $1890.24 - $1756.32
A = $133.92
Learn more about APR here: https://brainly.com/question/2772156
#SPJ4