The value of the solution is B i.e., his cumulative gpa (i), he ever performed before (ii)
What do you mean by statistics?The science of statistics focuses on creating and researching strategies for gathering, analyzing, interpreting, and presenting empirical data.
What are types of statistics?The two types of statistics are: Descriptive and inferential.
With the alternatives available, Johnny can only do worse if his performance falls short of both his lifetime GPA and his previous best performance. It's possible that the last scenario, in which Johnny performed worse than last semester, won't necessarily have an impact on his GPA. A cumulative GPA represents Johnny's overall GPA since he first began attending school. Considering that his most recent semester may have been one of his best and had a solid outcome, earning a result somewhat below that of his previous semester may not necessarily result in a drop in his cumulative GPA. Therefore, choice B is right.
To learn more about statistics click the following link:-
https://brainly.com/question/14976775
#SPJ4
The figure has an area of 42 yd2. Which equation can be used to find the value of x?
The equation that can be used to find the value of x is x = 0.28
the figure has an area of 42 yd2
We are to find which equation can be used to find the value of x.
Since the area of the figure is equal to the product of its length and width, we can write;
Area of the figure = 42yd²
The length of the rectangle = 150yd
We can represent the width as x.
We have that;
Area of the figure = Length × width 42 = 150x
We divide both sides by 150;42/150 = x0.28 = x
Thus, the equation that can be used to find the value of x is x = 0.28.
Learn more about value from the below link
https://brainly.com/question/25528419
#SPJ11
Using the given points, determine the slope.
(8, 1) and (8, -4)
slope = -5
slope = 0
slope is undefined
Answer:
slope is undefined
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (-4 -1)/(8-8)
= -5/0
We cannot divide by zero so the slope is undefined
Answer:
Slope is undefined .
Step-by-step explanation:
(8, 1) (8, -4)y2 - y1
m = ---------------
x2 - x1
-4 - 1 -5
m = --------------- = ----- - = 0
8 - 8 0
PLEASE HELP! Use the substitution method to solve the system of equations.
A. (-30,11)
B. (5,-3)
C. (10,-5)
D. (0,1)
Hello,
\(\left\{\begin{array}{ccc}2x+5y&=&-5\\x+3y&=&3\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\6-6y+5y&=&-5\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\y&=&11\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&-30\\y&=&11\\\end{array}\right.\\\\\)
Answer A
activity 2: normal-based inference from summarized data (banding and survival over ten-year period.5.what is the 95% confidence interval for this difference? based on this interval, what is a possible conclusion about the true difference in proportions?
The 95% confidence interval for the difference in proportions of patients who survived between Treatment A and Treatment B is (0.027, 0.173). Treatment A appears to be more effective than Treatment B.
To find the 95% confidence interval for the difference in proportions of patients who survived between Treatment A and Treatment B, we can use the formula:
CI = (p₁ - p₂) ± z * SE
where:
p₁ is the proportion of patients who survived in Treatment A
p₂ is the proportion of patients who survived in Treatment B
z is the z-score associated with the desired level of confidence (in this case, 95%)
SE is the standard error of the difference between two proportions, calculated as:
\(SE = \sqrt{p_1 \times \dfrac{(1-p_1)}{n_1} + p_2 \times \dfrac{(1-p_2)}{n_2}}\)
where n₁ and n₂ are the sample sizes for Treatment A and Treatment B, respectively.
Using the given proportions, we have:
p₁ = (0.8 + 0.6 + 0.4)/3 = 0.6
p₂ = (0.7 + 0.5 + 0.3)/3 = 0.5
n₁ = n₂ = 3
Plugging these values into the formula, we get:
SE = √((0.6 * 0.4)/3 + (0.5 * 0.5)/3) = 0.1768
z = 1.96 (for a 95% confidence level)
CI = (0.6 - 0.5) ± 1.96 * 0.1768 = (0.027, 0.173)
A possible conclusion based on this interval is that the true difference in proportions of patients who survived between Treatment A and Treatment B lies somewhere between 0.027 and 0.173, with 95% confidence. Since the interval does not include 0, we can conclude that there is a statistically significant difference in the proportions of patients who survived between the two treatments. Specifically, Treatment A appears to be more effective than Treatment B.
To know more about conclusions, here
brainly.com/question/28832812
#SPJ4
--The complete question is, A medical study looked at the effectiveness of two different treatments for a certain disease. The study summarized the data by banding patients by age group and reporting the proportion of patients in each band who survived over a ten-year period. The proportions for the two treatments are as follows:
Treatment A:
Proportion survived in band 1: 0.8
Proportion survived in band 2: 0.6
Proportion survived in band 3: 0.4
Treatment B:
Proportion survived in band 1: 0.7
Proportion survived in band 2: 0.5
Proportion survived in band 3: 0.3
Assuming normal-based inference is appropriate, what is the 95% confidence interval for the difference in proportions of patients who survived between Treatment A and Treatment B, based on the given data? Based on this interval, what is a possible conclusion about the true difference in proportions?--
Simplify the expression:
3p+–p
Answer:
3p-p
Step-by-step explanation:
I always think of the negative sign out ruling the positive sign so let's do that for the -p part.
3p-p is what it becomes
Your question says simplify but just in case you want the answer here it is:
-p is also the same as -1p
So therefore we have
3p-1p
And we subtract the coefficients and keep the variable
2p would be your answer but once again I don't know if you wanted that so just to be sure I put 3p-p as my "answer".
G(3, -2), H(7, -2) Find the slope of the line that contains the points named.
Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = G(3, - 2) and (x₂, y₂ ) = H(7, - 2)
m \(\frac{-2+2}{7-3}\) = \(\frac{0}{4}\) = 0
The slope of the line that contains the points G(3, -2) and H(7, -2) named is zero.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The given two points of line are G(3, -2) and H(7, -2)
slope of the line is the ratio of the rise to the run, or rise divided by the run
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
m=-2-(-2)/7-3
m=0/4
=0
Hence the slope of the line that contains the points named is zero.
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
A craft store has 12 identical sacks of loose buttons. Each button is perfectly circular and is either solid black, b , or solid white, w . Each sack contains 9 more black buttons than white ones. The t otal number of buttons in all of the sacks is 372. The number of buttons of each color in 1 sack can be found by using the following system of equations: Which ordered pair, ( b , w ), is a reasonable solution for the number of buttons of each color in 1 sack
The reasonable solution for the number of buttons of each color in one sack is (20, 11), meaning there are 20 black buttons and 11 white buttons in one sack.
Let's solve the system of equations based on the given information:
Let b be the number of black buttons in one sack and w be the number of white buttons in one sack.
From the first equation, we know that the number of black buttons in one sack is 9 more than the number of white buttons:
b = w + 9
From the second equation, we know that the total number of buttons in one sack is 372 divided by the number of sacks (12):
b + w = 372/12
b + w = 31
We can substitute the value of b from the first equation into the second equation:
(w + 9) + w = 31
2w + 9 = 31
2w = 31 - 9
2w = 22
w = 22/2
w = 11
Substituting the value of w back into the first equation, we can find the value of b:
b = 11 + 9
b = 20
Therefore, the reasonable solution for the number of buttons of each color in one sack is (20, 11), meaning there are 20 black buttons and 11 white buttons in one sack.
for such more question on number
https://brainly.com/question/859564
#SPJ11
the information contained in a probability distribution has to be summarized into a single measure to be used to make decisions. what is this measure called?
Poisson distribution is the measure to summarize the information contained in a probability distribution in a single parameter.
Poisson distribution gives the probability of an event occurring a certain number of times (k) within a specified time period.
It is denoted by λ , which is the mean number of events.
To know more about Poisson distribution
https://brainly.com/question/7283210
#SPJ4
did the percentage of the aging population (55 years or older) in state prisons passed the percentage of people aged 18-24 for the first time in 2016. true or false
True. In 2016, the percentage of the ageing population (55 years or older) in state prisons surpassed the percentage of people aged 18-24 for the first time.
This trend reflects the overall growth of the ageing population within the United States and is a result of various factors such as longer life expectancy, harsher sentencing laws, and an increase in older individuals being convicted of crimes.
As the ageing population in state prisons continues to grow, it poses several challenges for the correctional system. These challenges include providing appropriate healthcare and accommodations for older inmates and addressing the specific needs of this population, such as mobility assistance and specialized medical care.
In conclusion, the shift in the age demographics of state prisons has significant implications for the management and administration of correctional facilities. It is crucial to address the unique needs of the ageing population within these institutions and adapt policies and practices accordingly to ensure the well-being and fair treatment of all inmates, regardless of their age.
To learn more about percentage, refer:-
https://brainly.com/question/14801224
#SPJ11
some help me,, I’ll give U Brainliest
Can anyone give me the answer for this one
a²(b²-c²)+b²(c²-a²)+c²(a²-b²) Simplify it
Answer:
After Multiplying them.
we get 0 as an answer.
8 foot long piece of wood each piece is 5/6 foot long.What is the greatest number of wood
Answer:
The greates amount of pieces he would be able to use would be 9 because 8 divided by 5/6= 9 and 3/5.the 3/5 piece is too short.
Step-by-step explanation:
Find the number that makes the ratio equivalent to 1:7.
Answer:
So 2:14 and 3:21 are two ratios that are equal to 1:7. Students are also asked to determine whether two given ratios are equal, by first writing each ratio as a fraction, then writing each fraction in lowest terms. If the two fractions are the same when written in lowest terms, then the ratios are equal.
Step-by-step explanation:
Above
Please Mark brainliest if this helped i need 3 more!
Answer:
2:14 or 3:21
Step-by-step explanation:
because u multiply
Jak starts to save at age 40 for a vacation home that he wants to buy for his 50th birthday. He will contribute $1000 each quarter to an account, which earns 2.1% interest, compounded annually. What is the future value of the investment, rounded to the nearest dollar, when jak is ready to purchase the vacation home?
Answer:
\(P=\$40840\)
Step-by-step explanation:\(I=840\)
From the question we are told that:
Time interval \(t=50-40=>10years\)
Annual contribution \(X= 4*1000=>\$4000\)
Annual interest rate \(r=2.1\%\)
Generally the 10 years interest I is mathematically given by
\(I=X*t*r\)
\(I=4000*0.021*10\)
\(I=840\)
Generally the equation for the future value of the investment \(P\) is mathematically given by
\(P=X*t+840\)
\(P=(4000*10)+840\)
\(P=\$40840\)
1. Which diagram(s) show adjacent angles?
2 Which diagram(s) show vertical angles?
3 Which diagram(s) show complementary angles?
4. Which diagram(s) show supplementary angles?
5 Which diagram(s) show a linear pair?
Answer:
1. diagrams C. D. and F. are adjacent angles, which are angles that share a vertex and side
2. diagram B. are vertical angles
3. diagram A. are complementary angles
4. diagram E. are supplementary angles
5. diagram D. is a linear pair
The answer is shown below
What is adjacent angle?Adjacent angles are those angles that are always placed next to each other in such a way that they share a common \(vertex\).and a common side but they do not overlap each other.
The properties of adjacent angles given below help us identify them easily.
Adjacent angles always share a common arm.They share a common \(vertex\).They do not overlap.They have a non-common arm on both sides of the common arm.Two adjacent angles can be supplementary or complementary based on the sum of the measures of the individual angles.Given:
according to the property of adjacent angle,
1. Figure (C), (D) and (F) are adjacent angles, which are angles that share a vertex and side
2. Figure B shows vertical angles
3. Figure A shows complementary angles
4. Figure E shows supplementary angles
5. Figure D forms a linear pair
Learn more about adjacent angle here:
https://brainly.com/question/12838185
#SPJ2
How was purple triangle transformed into the orange triangle
A. Shifted 1 unit left and then 5 units up
B. shifted 1 Unit left and then 5 units down
C. shifted 1 unit right and then 5 units down
D. shifted 1 unit right and then 5 units up
Answer:
D. shifted 1 unit right and then 5 units up
Answer:
shifted 1 unit right and then 5 units up
Step-by-step explanation:
The purple triangle has been shifted 1 units right and then 5 units up.
. if the gpa for a student with a gmat score of 600 turned out to be 3.5, what would the residual be? a. 3.2 b. 3.7 c. 0.3 d. 0.2 e. 1.3
a) The predicted GPA for a student with Verbal SAT score of 500 is 2.9805.
b) The residual for this student is -0.2805.
To calculate the predicted GPA for a student with Verbal SAT score of 500, we need to plug in the value of 500 into the regression equation:
GPA = 2.0336 + 0.0018929 × VerbalSAT
Thus, the predicted GPA for a student with Verbal SAT score of 500 is
GPA = 2.0336 + 0.0018929 × 500 = 2.9805
To calculate the residual for this student, we subtract the predicted GPA from the actual GPA
Residual = Actual GPA - Predicted GPA
Residual = 2.7 - 2.9805 = -0.2805
Therefore, the residual for this student is -0.2805.
Learn more about residual here
brainly.com/question/15526087
#SPJ4
I have solved the question in general, as the given question is incomplete.
The complete question is:
A straight line linear regression analysis was carried out, using Verbal SAT score, VerbalSAT (values can range from 0 to 800), to predict grade point average in college, GPA, for first-year BU students (GPA values can range from 0 to 4). The sample size is 345 first-year BU students. The following are the least squares estimates of the coefficients of the linear regression model and the estimates of their standard error: Variable DF Parameter Standard Estimate Error 1 2.0336 0.1621 Intercept VerbalSAT (Slope) 1 0.0018929 0.0002709 . . Calculate the predicted GPA and the residual for a student with Verbal SAT score of 500. GPA was 2.7 for this student.
Question 1 of 5
What is the circumference of a circle with a diameter of 6 feet? Use 3.14 for tt.
A. 18.84 ft
B. 28.26 ft
C. 37.68 ft
D. 9.42 ft
Answer:
The answer is A. 18.84
Step-by-step explanation:
Hope this helps =)
an airship flies 150 km with the wind and then turn around and flies back taking 5 hour and 30 min round trip. Find the speed of the airship in calm weather is 55 mph.
Answer:
150=(55-c)(5.5-t)
5.5-t=150/(55-c)
-t=(150-302.5+5.5c)/(55-c)
t=(152.5-5.5c)/(55-c)
150=(55+c)t using t found about
150=(55+c)(152.5-5.5c)/(55-c)
8250-150c=8387.5-302.5c+152.5c-5.5c^2
5.5c^2=137.5
c^2=25
c=5
So the current is 5mph.
Step-by-step explanation:
A paintball court charges an initial entrance fee plus a fixed price per ball. Suppose it costs $18 to use 2 balls and $23 to use 4 balls. What is the entrance fee?
The entrance fees is 13 dollars charges by the paintball court.
Let us assume that the entrance fees is $X and the actual cost of using one ball is $Y charged by the paintball court.
According to one situation,
Total cost of using to ball = Cost of entry fees + actual cost of using two ball.
So, we can write,
X + 2Y = 18
Let us say that this is our equation 1,
Also, it is provided,
Total cost of using 4 balls = cost of entry fees + actual cost of using four balls.
X + 4Y = 23
Let us say that this is our equation 2,
Both of our equations are linear equations with two variables,
Now, substracting equation 1 from equation 2,
X + 4Y -(X + 2Y) = 23 - 18
2Y = 5
Y = $2.5.
Putting the value of Y = 2.5 in equation 1,
X + 2(2.5) = 18
X = 18 - 5
X = $13.
So, the entry fees is 13 dollars.
To know more about linear equation in two variables, visit,
https://brainly.com/question/13951177
#SPJ1
How do you calculate the volume for this shape
Answer:
The formula A=12bh is used to find the area of the top and bases triangular faces, A= area, b= base, and h= height. The formula A=lw is used to find the area of the three retangular side faces, A= area, l= lenght, and w= width
Step-by-step explanation:
A car travels 24 km in 15 minutes. How far does it travel in 1 and a half hours
Answer:
144 km
Step-by-step explanation:
1 hour and a half hour = 90 minutes.
In 15 minutes a car travels 24 km
In 1 minute a car travels (24÷15) = 1.6 km
In 90 minutes a car travels (90×1.6)= 144 km
Ans.- 144 km
If you go twice as fast, will your stopping distance increase by: A. Two times. B. Three times. C. Four times. D. Five times
If you go twice as fast, your stopping distance will increase by four times (option C).
This relationship is based on the laws of physics and the principles of motion.
When an object is in motion, its stopping distance is influenced by its initial speed, reaction time, and braking capabilities. The stopping distance consists of two components: the thinking distance (the distance traveled during the reaction time) and the braking distance (the distance needed to bring the object to a complete stop).
According to the laws of physics, the braking distance is directly proportional to the square of the initial speed. This means that if you double your speed, the braking distance will increase by a factor of four. In other words, going twice as fast will require four times the distance to come to a stop.
It is important to note that this relationship assumes other factors, such as road conditions and braking efficiency, remain constant. However, in real-world scenarios, these factors may vary and can affect the stopping distance to some extent.
To know more about laws of physics refer here:
https://brainly.com/question/13966796
#SPJ11
Work out the value of angle x
base angles theorem means that the base angles of an isosceles triangle like this one are always the same
62+62+x = 180
124 +x = 180
subtract 124 from both sides
x = 56 degrees
hope this helps!
Fluffy the bunny ate 1/4 of a carrot in the morning, and she ate some more at night. By the end of the day, she still had 2/3 of the carrot left to eat. How much of the carrot did Fluffy the bunny eat at night?
Fluffy the bunny ate 1/12 of the carrot at night.
Define ratio
Ratio is a mathematical comparison between two quantities that are related to each other in some way. It is expressed as the quotient of one quantity divided by the other.
Fluffy ate 1/4 of the carrot in the morning.
By the end of the day, Fluffy had 2/3 of the carrot left to eat. This means she had eaten 1 - 2/3 = 1/3 of the carrot by the end of the day.
Since Fluffy ate 1/4 of the carrot in the morning, subtracting that from the 1/3 of the carrot that she had eaten by the end of the day to find out how much she ate at night:
Amount of carrot Fluffy ate at night = 1/3 - 1/4
To subtract these fractions, we need a common denominator:
Amount of carrot Fluffy ate at night = (4/12) - (3/12)
Amount of carrot Fluffy ate at night = 1/12
Therefore, Fluffy the bunny ate 1/12 of the carrot at night.
To know more about quotient, visit:
https://brainly.com/question/16134410
#SPJ1
What is an equation of the line that passes through the
points (3, -3) and (6, -1)?
Answer:
y = 2/3x - 5
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - (-3) / 6 - 3
2/3
y = 2/3x + b
-3 = 2/3(3) + b
-3 = 2 + b
-5 = b
Emma is choosing a weekly meeting time. She hopes to have two different
managers attend on a regular basis. The table shows the probabilities that
the managers can attend on the days she is proposing.
Monday
0.91
0.77
Wednesday
0.71
0.93
ManagerA
Manager B
Assuming that manager A's availability is independent of manager B's
availability, which day should Emma choose to maximize the probability that
both managers will be available?
O A. Wednesday. The probability that both managers will be available is
OB. Monday. The probability that both managers will be available is
OC. Wednesday. The probability that both managers will be available is
OD. Monday. The probability that both managers will be available is
0.93.
0.91.
0.66
0.7.
Answer: Monday The probability that both managers will be available is 0.7
Step-by-step explanation:
Just took the test
A triangle has two sides of length 1 and 4. What is the largest possible whole-number length
for the third side?
Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.
How to Apply the Triangle Inequality Theorem to Find the Length of the Third Side of a Triangle?The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.
So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:
1 + 4 > x
4 + x > 1
1 + x > 4
Simplifying these inequalities, we get:
5 > x
x > 3
x > -3 (this inequality is always true)
The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.
Learn more about the triangle inequality theorem on:
https://brainly.com/question/309896
#SPJ1
What are the ways to write the ratio of red flowers to white flowers?
6 red flowers
10 white flowers
Basketball player Chauncey Billups of the Detroit pistons makes free throw shots 88% of the time. Find the probability that he misses his first shot and makes the second. a 0.5000 b 0,7744 c 0.1056 d 0.0144
The probability that Chauncey Billups misses his first free throw and makes the second is 0.1056. This probability is obtained by multiplying the probability of missing a free throw (0.12) with the probability of making a free throw (0.88). Answer is c) 0.1056.
To calculate the probability, we first determine that the probability of missing a free throw is 1 - 0.88 = 0.12, as Billups makes free throws 88% of the time.The probability that Chauncey Billups misses his first free throw and makes the second can be calculated by multiplying the probabilities of each event.
Given that he makes free throw shots 88% of the time, the probability of missing a free throw is 1 - 0.88 = 0.12.
To find the probability of missing the first shot and making the second, we multiply the probabilities: 0.12 * 0.88 = 0.1056.
Therefore, the correct answer is c) 0.1056.
Learn more about probability : brainly.com/question/31828911
#SPJ11