Answer:
-6.075
Step-by-step explanation:
simple addition/subtraction
we multiply all the terms by "-1"
we add the first three terms then subtract the last from it
In Prof. Leahy's class, if a student does homework most days, the chance of passing the course is 90%. On the other hand, if a student does not do homework most days, the chance of passing the course is only 30%. Prof. Leahy claims that 70% of his students do homework on a regular basis. If a student is chosen at random from Prof. Leahy's class, find the following probabilities:
a. p(the student did not do homework and he/she passed the course)
b. p(the student did not do homework given that she/he passed the course)
Answer:
a) p(the student did not do homework and he/she passed the course) = 0.09
b) p(the student did not do homework given that she/he passed the course) = 0.125.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It 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.
a. p(the student did not do homework and he/she passed the course)
If a student does not do homework most days, the chance of passing the course is only 30%. 100 - 70 = 30% don't do homework on a regular basis.
So
0.3*0.3 = 0.09
p(the student did not do homework and he/she passed the course) = 0.09
b. p(the student did not do homework given that she/he passed the course)
Conditional probability.
Event A: Passed the course
Event B: Did not do homework.
p(the student did not do homework and he/she passed the course) = 0.09
This means that [tex]P(A \cap B) = 0.09[/tex]
Probability that the student passes the course:
90% of 70%(do homework)
30% of 30%(do not do homework).
This means that:
[tex]P(A) = 0.9*0.7 + 0.3*0.3 = 0.72[/tex]
p(the student did not do homework given that she/he passed the course)
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09}{0.72} = 0.125[/tex]
So
p(the student did not do homework given that she/he passed the course) = 0.125.
This data is an example of
A. a linear function
B. a nonlinear function
C. neither a linear nor nonlinear function - it is not a
function at all
Answer:
a nonlinear function I think because it's a quadratic one?? kinda
HELP PLZZZ HELP I’ll give u BRAINLY
Answer:
1 Factor out the common term 22.
2(x+3y)=6
2(x+3y)=6
2 Divide both sides by 22.
x+3y=\frac{6}{2}
x+3y=
2
6
3 Simplify \frac{6}{2}
2
6
to 33.
x+3y=3
x+3y=3
4 Subtract 3y3y from both sides.
x=3-3y
x=3−3y
Answer:
x=3 and y=2
Step-by-step explanation:
I hope I"m right and if I am can I be marked brainliest.
When I solved this quadratic using the square root property, I am not sure if i did it correctly and I am not sure if there should be two x solutions.
Answer:
yup your answer is right
Step-by-step explanation:
two x solutions are +2√3
+2√3 can be written as +2√3 or -2√3
Answer:
yesssss you are rightttt
3) Determine the greatest common factor between
Xy2 and x6y2
Answer:
it would be GCF= xy^2
Step-by-step explanation:
because you have to put the lowest variable for the GCF, therefore, its only 1 x and then y^2
describe a good and safe relationship
Answer:
Many people rush into relationships, whether it be romantic or friendly. No matter the kind of relationship, the number one thing you want to make sure you have is boundaries. When you get to know someone, you have to make sure they respect your beliefs, your boundaries, and won't peer pressure you into doing anything. You also want to make sure the person you are getting to know is getting to know you for you and not anything else. It has been proven that the more happy relationships and healthy relationships we have, the longer we live. But it also works the other way around. That's why we have to make sure we surround ourselves with the right kinds of people otherwise, we'll just end up getting hurt. It's very common for people to be influenced by outside forces and, therefore, hurt us and turn around and instead of being our loved ones, they're our enemies. That's why we have to make sure we choose the right kinds of people.
Step-by-step explanation:
I hope this helps :)
Four fewer than triple the sum of x and 3 is 17
Answer:
4- 3(x -3) =17 x =10
Step-by-step explanation:
Kianna started her homework at 4:30 pm. She finished at 5:05 pm. How many SECONDS did it take her to finish her homework? *
1 point
Answer:
2100 second
Step-by-step explanation:
4:30 pm to minutes
4 × 60 + 30 = 240 + 30
= 270 minutes
5:05 to minutes
5 × 60 + 5 = 300 + 5
= 305
4:30 to 5:05
305 - 270
= 35 minutes
35 minutes to second
35 × 60
= 2100 second
Answer:
2100
Step-by-step explanation:
25 minutes you need to know that 60 sec =1 hour.35x60=2100
The base figure in a mandala design is a nine-pointed star. Find the measure of each arc of the circle circumscribed about the star.
Can someone please help me?
9514 1404 393
Answer:
20%
Step-by-step explanation:
A pie chart is constructed so that the angle represents the ratio that sector has to the whole. Here, you want to know the fraction ...
English/Class = 72°/360° = 0.20 = 0.20×100% = 20%
20% of the students chose English.
Consider the figure below in which 411122.
a b
cld
4
elf
12
gh
Select the angle(s) that are congruent to Zc.
Options
Answer:
its a and d
Step-by-step explanation:
Which option identifies the systematic error in the following scenario?
Mary is measuring the weight of an object using a scale. The scale reads 2 lbs. too high for the first measurement she takes. When she takes the measurement again using the same steps, the scale again reads 2 lbs. too high.
A.) The error cannot be predicted to occur.
B.) The error can be reproduced.
C.) The error in measurement is estimated.
D.) The error amount fluctuates.
Answer:
B the error can be reproduced
Determine if the representation below is an example of a function or not a function (1,3), (3,3), (4,5), (6,5), (7,7), (9,7)
Answer:
Yes.
Step-by-step explanation:
No x value is used twice.
15% of number is 54. What is 2/3 of that number?
9514 1404 393
Answer:
240
Step-by-step explanation:
The value is proportional to the fraction:
n/(2/3) = 54/(0.15)
n = (2/3)(54/0.15) = 240 . . . . . multiply by 2/3
2/3 of the number is 240.
Cos(x+y)cos(x-y)=cos^2y - sin^2x
cos(x + y) cos(x - y) = (cos(x) cos(y) - sin(x) sin(y)) (cos(x) cos(y) + sin(x) sin(y))
… = (cos(x) cos(y))² - sin(x) sin(y) cos(x) cos(y) + sin(x) sin(y) cos(x) cos(y) - (sin(x) sin(y))²
… = (cos(x) cos(y)) - (sin(x) sin(y))²
… = cos²(x) cos²(y) - sin²(x) sin²(y)
… = (1 - sin²(x)) cos²(y) - sin²(x) sin²(y)
… = cos²(y) - sin²(x) cos²(y) - sin²(x) sin²(y)
… = cos²(y) - sin²(x) (cos²(y) + sin²(y))
… = cos²(y) - sin²(x)
v=10 e=5
2v divided by e + 4
add 8 and 17, double the sum, and then subtract three
Answer:
Hello There!!
Step-by-step explanation:
The answer is 47 as (18+7)×2-3=47.
hope this helps,have a great day!!
~Pinky~
An expression is defined as a set of numbers, variables, and mathematical operations. The solution for the statement "add 8 and 17, double the sum, and then subtract three" is 47.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The solution for the statement "add 8 and 17, double the sum, and then subtract three" can be done as,
2(8+17) - 3
= 47
Hence, The solution for the statement "add 8 and 17, double the sum, and then subtract three" is 47.
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ2
What is the ratio in simplest form between the length of a side in ABCD and the length of its corresponding side in WXYZ?
a.2\3
b.1\2
c.3\4
d.6\5
Answer:
The Answer would be C) 3/4
Step-by-step explanation:
If you subtract a quarter of the number presented on right left hand on the picture you get the numbers presented on the left hand side of the picture shown. There fore the ratio is 3/4 or three quarters of the already existing number.
Emily has six black marbles, ten clear marbles, and four blue marbles in a bag. If she picks one
at random, what is the probability that she will pick a black marble?
Answer:
3/10
Step-by-step explanation:
solving steps for 2/3(9+x) = -5(4-x)
Answer:
x = -6
Step-by-step explanation:
2/3(9+x) = -5(4-x) ( 2/3times9=6, 2/3timesx=2/3x) ( -5times4=-20,-5timesx=-5x)
6 + 2/3x = -20 -5x ( add 20 on both sides)
26 + 2/3x = -5x ( minus 2/3x on both sides)
26 = -4.6x (divided -4.6x on both sides)
-5.6 = x ( round up)
-6 = x
hope this helps
I need help with this i cant cuaet understand it.
Answer:
Seattle is more likely to have rain.
Step-by-step explanation:
Seattle has a 75% chance of rain
Tacoma has a 1/4 chance of rain.
100% = 4/4
75% = 3/4
50% = 2/4
25% = 1/4
25% < 75%
Answer:
Step-by-step explanation:
A shipment of sugar fills 8 containers. If each container holds 2 1/6 tons of sugar, what is the amount of sugar in the entire shipment?
Answer:
17 1/3 tons of suger
Step-by-step explanation:
2 1/6 * 8 = 17 2/6 or 17 1/3
A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You select a random sample of 100 bottles, the mean amount of water per 1-gallon bottle is 0.994 gallon, and standard deviation of the amount of water per bottle is 0.03 gallon.
You select a random sample of 50 bottles, and the mean amount of water per 1-gallon bottle is 0.995 gallon.
a. Is there evidence that the mean amount is different from 1.0 gallon? (Use α-0.01.)
b. Compute the p-value and interpret its meaning
c. Construct a 99% confidence interval estimate of the population mean amount of water per bottle.
d. Compare the results of (a) and (c). What conclusions do you reach?
Answer:
We fail to reject H0; Hence, we conclude that there is no significant evidence that the mean amount of water per gallon is different from 1.0 gallon
Pvalue = - 2
(0.98626 ; 1.00174)
Since, 1.0 exist within the confidence interval, then we can conclude that mean amount of water per gallon is 1.0 gallon.
Step-by-step explanation:
H0 : μ= 1
H1 : μ < 1
The test statistic :
(xbar - μ) / (s / sqrt(n))
(0.994 - 1) / (0.03/sqrt(100))
-0.006 / 0.003
= - 2
The Pvalue :
Pvalue form Test statistic :
P(Z < - 2) = 0.02275
At α = 0.01
Pvalue > 0.01 ; Hence, we fail to reject H0.
The confidence interval :
Xbar ± Margin of error
Margin of Error = Zcritical * s/sqrt(n)
Zcritical at 99% confidence level = 2.58
Margin of Error = 2.58 * 0.03/sqrt(100) = 0.00774
Confidence interval :
0.994 ± 0.00774
Lower boundary = (0.994 - 0.00774) = 0.98626
Upper boundary = (0.994 + 0.00774) = 1.00174
(0.98626 ; 1.00174)
Laura runs 6 miles in 50 minutes. At the same rate,how many miles would she run in 35 minutes?
RS= 4y+2, ST = 3y+8, and RT = 38 what is the value of y
Answer:
y = 4
Step-by-step explanation:
Given that,
RS= 4y+2, ST = 3y+8, and RT = 38
We need to find the value of y.
As,
RT = RS+ST
Put all the values,
38 = 4y+2+3y+8
38-2-8 = 4y+3y
28 = 7y
y = 4
So, the value of y is equal to 4.
How can 5 children share 3 cookies equally?
Can someone pls help with this
Answer: 4
Step-by-step explanation:
Find the roots. 2x^2+7x-15=0
Answer
3/2, -5
Step-by-step explanation:
Can someone help me with 6? And 8 I posted
Answer:
I answered 6 already. I don't now what 7 means though sorry
Step-by-step explanation:
Solve for the unknown values.
Answer:
y=45° x=81°
Step-by-step explanation:
the 2 angles across the outside angles sum up to the given number so just subtract 95-50= 45, with that we know subtract from the total sum of every triangle which is 180. So we add the 2 angles we have now, 50+45=99. Now we subtract, 180-99= 81.