Answer:
Part 1) Option B. y = 10x + 45
Part 2) The score is 95
Step-by-step explanation:
Linear equation that best describes the given model
Let
x ---> number of hours students spent studying
y ---> their score on the test
Looking at the line that was fit to the data to model the relationship
The slope is positive
The y-intercept is the point (0,45)
For x=1, y=55 ----> point (1,55)
Find the slope
The formula to calculate the slope between two points is equal to
substitute the points (0,45) and (1,55)
Find the equation of the line in slope intercept form
we have
substitute
Part 2) Estimate the score for a student that spent 5 hours studying.
For x=5 hours
substitute in the linear equation and solve for y
Answer:
Part 1) Option B. y = 10x + 45
Part 2) The score is 95
Step-by-step explanation:
Suppose you log on to an online chess website and are randomly assigned a match against an opponent.
Suppose at any time on the site, 30% of opponents are rated ovice", 55% are rated mid", and 15% are
rated high". In a chess match, a player can either win, lose, or draw. Suppose that you win 75% and
draw 10% of matches against novice rated opponents, you win 50% and draw 20% of matches against
mid rated opponents, and you win 10% and draw 25% of matches against high rated opponents.
(a) For a randomly assigned match, what is the probability that you play someone ranked high and
lose?
(b) For a randomly assigned match, what is the probability that you win?
(c) You play a match and win. What is the probability that you played a high rated opponent?
Answer:
a) 0.1125 = 11.25% probability that you play someone ranked high and lose.
b) 0.5435 = 54.35% probability that you win
c) 0.0690 = 6.90% probability that you played a high rated opponent
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) For a randomly assigned match, what is the probability that you play someone ranked high and lose?
15% probability that you play someone that is ranked high.
If you play someone ranked high, 100 - 25 = 75% probability you lose
0.15*0.75 = 0.1125
0.1125 = 11.25% probability that you play someone ranked high and lose.
(b) For a randomly assigned match, what is the probability that you win?
75% of 30%(novice oponent)
50% of 55%(mid oponent)
25% of 15%(high opponent). So
[tex]p = 0.77*0.3 + 0.5*0.55 + 0.25*0.15 = 0.5435[/tex]
0.5435 = 54.35% probability that you win
(c) You play a match and win. What is the probability that you played a high rated opponent?
Here, we use the conditional probability formula.
Event A: Winning
Event B: Playing a high opponent.
0.5435 = 54.35% probability that you win
This means that [tex]P(A) = 0.5435[/tex]
Intersection of events A and B:
25% of 15%(high opponent). So
[tex]P(A \cap B) = 0.25*0.15 = 0.0375[/tex]
Question:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0375}{0.5435} = 0.0690[/tex]
0.0690 = 6.90% probability that you played a high rated opponent
what is 4½ pls anwser
Answer:
9/2
Step-by-step explanation:
Answer:
4.5 or 9/2
Step-by-step explanation:
Brandon says that 3/8 equals 8/13 because 3 + 5 equals 8 + 8 + 5 equals 13 is he correct ? Explain
4x 4/4 is equal to 1 , since 4/4 is equal to 1
Answer:
False, it is equal to 4.
Step-by-step explanation:
The current question asks that 4 x 4/4 is equal to 1, since 4/4 is equal to 1, but this stems from a gross misinterpretation of mathematics.
Although it is true that 4/4 is equal to one, since the 4 parts that make up an integer are completed, when multiplying the number 1 4 times this mathematical operation will result in 4, since 4 x 1 = 4.
How to solve this equation
Answer:
[tex]\frac{y^{6}}{4x^{2} }[/tex]
Step-by-step explanation:
HELPPPPPP ANYBODY KNOW????
Raina picks 20 flowers
1/4 are roses 2/5
are daisies
How many flowes are lilies?
Answer:
7 of the flowers were lilies.
Step-by-step explanation:
8 daises and 5 roses were picked. 8 + 5 = 13 20 - 13 = 7
7 of the flowers were lilies
C gives the cost, in dollars, of a cafeteria meal plan as a function of the number of meals purchased, n. The function is represented by the equation C(n) = 4 + 3n. Find C(10) and explain what your answer means in context to the situation
Answer:
Ill help if u still need
Step-by-step explanation:
139 invitations to 38 invitations,what is the percent change?
Answer:
Step-by-step explanation:
decrease of 139-38 = 101
101/139 ≅ 0.727 = 72.7%
8 slices of pizza and 5 sodas cost $36.50. 4 Slices of pizza and 10 sodas cost $37. How much does a slice of pizza cost? How much does a soda cost?
PLEASE HELP
Step-by-step explanation: If we use the variable p to represent our pizzas and s to represent our sodas, if our first equation states than 8 slices of pizza and 5 sodas cost $36.50, that's 8p + 5s = 3650.
Notice that I expressed cost in terms of cents so
that we can avoid having to deal with decimals.
In our second equation, 4 slices of pizza and
10 sodas cost $37, that's 4p + 10s = 3700.
Now let's rewrite our two equations on top of one another.
8p + 5s = 3650
4p + 10s = 3700
To solve this system of equations, I would use addition.
I would multiply the bottom equation by -2
to create a situation where our p's will cancel.
When we do that, we get -8p - 20s = -7400.
Now rewrite the equations once again ~
8p + 5s = 3650
-8p - 20s = -7400
Now add the equations together.
So we have -15s = -3,750.
Divide both sides by -15 and s = 250.
Remember that I expressed cost in terms of cents so
since s = 250, it really means that a soda is $2.50.
Now just plug an s back in for the s in one equation.
When we do this, we find that p = 300.
So a pizza is $3.00
Help me. Will give brainliest.
Answer:
63
Step-by-step explanation:
Write an equation using “x” and then solve the equation. The rate charged for a standard room is $250 dollars. A couple stayed in a standard room for x nights and their total room charge is $750.
Answer:
3 nights
Step-by-step explanation:
total charge = rate times time interval
Here, time interval = total charge / rate
$750 = ($250/night)(n nights)
Solving for n, we get n = 3 (nights)
An equation for a couple stayed in a standard room for x nights and their total room charge is $750 is, 250x = 750
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
Types of equation
1. Linear Equation
2. Quadratic Equation
3. Cubic Equation
Given that,
The rate charged for a standard room is $250 dollars
A couple stayed in a standard room for x nights
Total room charge = $750
Equation = ?
Total charge = 250 × x
Total charge = 750
So,
250x = 750
Thus, an equation is 250x = 750
To know more about Equation check:
https://brainly.com/question/1529522
#SPJ2
17 out of 20 lung deserves are curable; what is the percentage of lung diseases that are curable? Yes, but how did you get that answer
Answer:
85%
Step-by-step explanation:
This problem can be solved by dividing the number of cured cases by the total number of cases (17/20). In order to verify this you can see what number 20 can be multiplied in order to get 100 (5). You can then multiply this by 17 in order to get the number of cured cases out of 100 (the definition of percent)
Cruz is the editor of a magazine.
The magazine has 40 pages.
The magazine must have:
20% of the pages for adverts
1/4 of the pages for photos
the remaining pages for articles.
Work out the number of pages for articles in the magazine.
Show your working out.
Answer:
22
Step-by-step explanation:
20% * 40 = 20 / 100 * 40 = 800 / 100 = 8
1/4 * 40 = 40 / 4 = 10
So far we have use 8 + 10 = 18
There are 40 - 18 pages left
articles = 22
WILL GIVE BRAINLIEST
A Fast Food Restaurant is offering 5 different toys in a kid's meal. A simulation was conducted to predict how many kid's meals must be bought in order to get all 5 toys. The results of 30 trials are shown in the stem and leaf plot below. (Each data point represents the number of kid's meals one person had to buy to receive all 5 toys.)
Based on the results of the simulation, what is the total number of people out of 200 who would need to buy less than 10 boxes of cereal to get all 5 toys? Show or Explain or work.
Answer:
Step-by-step explanation:
look for the stem and leafs that are less than 10 and add them all up
5+7+9
HELP HOW DO I FIND THE VALUE OF X
9514 1404 393
Answer:
7. 118
8. 27
Step-by-step explanation:
Make use of the fact that the sum of angles in a triangle is always 180°.
__
7. 33 + 29 + x = 180 . . . . . numbers in degrees
x = 180 -62 . . . . . . . . . . . subtract 62 from both sides of the equation
x = 118
__
8. 21 +x + 132 = 180
x = 180 -153 . . . . . . . subtract 153
x = 27
50% of 25% of a number x is
A- one eighth of X
B- half of X
C- one fourth of X
D- three fourth of X
Answer:
The word "of" in mathematical terms means multiplication. The word "is" means equal. This would be translated into 50% x 25% x X = or 0.50 x 0.25 x X =. 0.50 times 0.25 = 0.125. Putting 0.125 into a fraction, it would be 125/1000. Simplify this fraction to get 1/8. So, the answer would be A.
please answer this quick. will give brainliest
Answer:
the time Ari spent to walk is
[tex]1 \frac{3}{4} \div 1 \frac{1}{4} = 1.4(h)[/tex]
the time Beth spent to walk is
[tex]1 \frac{1}{2} \div 1 \frac{1}{8} = 1.(3)(h)[/tex]
the time Cathy spent to walk is 1h21' = 1.35(h)
so the time Ari spent > Cathy > Beth
=> list: Beth, Cathy, Ari
At a large company banquet for several thousand employees and their families, many of the attendees became ill the next day. The company doctor suspects that the illness may be related to the fish, one of three options for the main course. Because all the dinner guests had to preorder their meal, the doctor was able to randomly select and contact 80 people that ate the fish, of which 64 people got sick. The doctor also randomly selected (and contacted) 60 people that did not eat the fish, of which 39 people got sick. The doctor also knows that at least 1000 attendees ordered the fish.
Required:
a. Is this convincing evidence that the true proportion of all attendees who ate the fish that got sick is more than the true proportion of all attendees who did not eat the fish that got sick?
b. Which mistake (a Type I error or a Type II error) could you have made? Interpret the potential error in context.
Answer:
a. Yes. This provides convincing evidence that the true proportion of all attendees who ate the fish that got sick (80%) is more than the true proportion of all attendees who did not eat the fish that got sick.
b. The mistake here would have been the rejection of the Doctor's theory or hypothesis to the effect that more attendees who ate the fish got sick than those who did not eat the fish. This is a Type 1 error. A Type 1 error occurs when a null hypothesis is rejected when it is true. On the other hand, a Type II error occurs when the null hypothesis is accepted when it should be rejected. While a Type I error is equivalent to a false positive, a Type II error is equivalent to a false negative.
Step-by-step explanation:
Total number of attendees who ordered fish = 1,000
Sample size of the attendees who ate fish = 80
Number of attendees who ate the fish and got sick = 64 (80% or 64/80)
Sample size of attendees who did not eat fish = 60
Number of attendees who did not eat fish and got sick = 39 (65% or 39/60)
Part A: The given evidence is convincing to provide the true proportion regarding the attendees.
Part B: The error is a type 1 error in the hypothesis testing.
Type 1 Error and Type 2 ErrorA type 1 error in hypothesis testing occurs when a null hypothesis is rejected when it is true.
A type II error in hypothesis testing occurs when the investigator fails to reject the null hypothesis that is actually false.
Given that, the total number of attendees who ordered fish is 1000. The random selection for the sample size of the attendees who ate fish is 80 of which 64 people got sick.
The number of attendees who ate the fish and got sick is calculated as given below.
No. of attendees =[tex]\dfrac {64}{80}[/tex]
% of No. of attendees = [tex]\dfrac {64}{80}\times 100[/tex]
% of No. of attendees = 80%
The random selection for the sample size of the attendees who did not eat fish is 60 of which 39 people got sick.
The number of attendees who did not eat the fish and got sick is calculated as given below.
No. of attendees = [tex]\dfrac {39}{60}[/tex]
% of No. of attendees =[tex]\dfrac {39}{60} \times 100[/tex]
% of No. of attendees = 65%
Part A
The given evidence is convincing to provide the true proportion of all attendees who ate the fish that got sick is more than the true proportion of all attendees who did not eat the fish that got sick.
Part B
The mistake here is that the doctor's theory (hypothesis) got rejected regarding the number of attendees who ate the fish got sick than those who did not eat the fish.
This error is a type 1 error in the hypothesis testing.
To know more about the type 1 and type 2 errors, follow the link given below.
https://brainly.com/question/20914617.
Please help me with this question I really need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
The angles of a triangle add up to 180°.
∠4 = 180°-35°-90° = 55°
The tape diagram represents an equation. w 1.3 2.7
Answer: 2/3
Step-by-step explanation:
Answer: w + 1.3 = 2.7
Step-by-step explanation: i did it in khan academy ∩(︶▽︶)∩ HOPE IT HELPS
Which of the following is most likely the next step in the series ?
Answer:
The answer is F) g21T
Hope it helps!
Thanks!
Sam is four years older than his brother. The sum of their ages is 24. How old is
each brother?
Answer: the brother is 10
Step-by-step explanation:
Answer:
sam is 14 his brother is 10
Step-by-step explanation:
if sam us 4 years older than his brother then sam has to be atleast 10 therefore his brother would be 10
Jenee has a package of 30 cards. There are 5 orange cards
and 25 yellow cards.
If she randomly picks 6 cards, what is the best prediction
for how many cards should be orange?
Answer:
1/2 is the best prediction for the number of orange cards that Jenee could get
Step-by-step explanation:
Hope this helps :D
If it does help could I get brainliest?
factor 1/8 out of 1/8x-49/8
Answer:
1/8(x - 49)
Step-by-step explanation:
When we factor out something, we are basically finding common factors from multiple terms to take out. Example:
ab + ac; factored out: a(b + c)
If we want to factor out 1/8 from 1/8x - 49/8, we simply divide the two terms by 1/8.
[tex]\frac{1/8}{1/8x}[/tex] The 1/8 cancel out giving us x so:
1/8(x - __)
The next term,
[tex]\frac{49/8}{1/8}[/tex]
When two fractions divide, you flip the bottom one and multiply them both,
[tex]\frac{49}{8} *\frac{8}{1}[/tex]
giving us 49.
The answer is: 1/8(x - 49)
Sarah makes 1/2 pound of caramel popcorn and puts it in a bags that hold 1/8 of a pound which equation can used to find how many bags she can fill
Answer:
1/2 ÷ 1/8 =b
Step-by-step explanation:
WORTH 10 POINTS :)
Bo paid with 1/2 of his paycheck about 1/5 of the remainder in savings. The rest of his paycheck he divided equally among the college accounts of his 3 children.
1. What fraction of his paycheck went into each child's account?
2. If bo deposited $400 in each child's account, how much money was in Bo's original paycheck?
Answer:for college, 1-1/2-1/5 = 3/10. Divided by 3 children, 3/10 /3 = 1/10
B. 400 = 1/10 of the total (from above), so 400 = x/10. x = 400*10 = 4000
Step-by-step explanation:
Answer:
1. 1/6 2. $2400
Step-by-step explanation:
If Bo had 1/2 of his paycheck leftover to divide among his 3 kids, 1/2 divided by 3 is 1/6.
If 1/6 of his paycheck is $400, then all 6/6 of his paycheck would be $2400.
1000003842638476238476+2837428734682764283746
Answer:
3.8374326e+21
Step-by-step explanation:
id.k goo.gle said this
Simplify to create an equivalent expression.
2(−2−4p)+2(−2p−1)
Choose 1 answer:
(Choice A)
A
-12p-6
(Choice B)
B
-10p-6
(Choice C)
C
-12p+6
(Choice D)
D
12p-6
Answer:
choice A
Step-by-step explanation:
-8p-4p - 4 - 2
= -12p-6
12v+4=-64 please include steps
Answer:
17.3
Step-by-step explanation:
Answer:
v=-17/3
Step-by-step explanation:
12v+4=-64
subtracting 4 from both sides we get
12v=-68
dividing by 12 on both sides we get
v=-68/12
simplifying we get
v=-17/3
hope that helps if it does please mark my answer as brainliest