Shureka Washburn has scores of 62, 82, 62, and 68 on her algebra tests.
a. Use an inequality to find the scores she must make on the final exam to pass the course with an average of 71 or higher, given that the final exam counts as two tests.
b. Explain the meaning of the answer to part (a).
Answers
Shureka's present scores of 62, 82, 62, and 68, and a passing score of 71 or higher gives;
The score she must make in her final exam is x ≥ 152Which inequality can be used to represent the final score?Shureka's scores are 62, 82, 62, 68
Grade with which Shureka will pass the course = 71
Number of test her final exam is equivalent to = 2
Let x represent her score in her final exam, we have;
\( \frac{62 + 82 + 62 + 68 + x}{4 + 2} \geqslant 71\)
Which gives;
62+82+62+68+x ≥ 71 × (4+2) = 426
274 + x ≥ 426
x ≥ 426 - 274 = 152
x ≥ 152
The scores she must make In her final exam to pass with an average score of 71 or higher is x ≥ 152Learn more about inequalities here:
https://brainly.com/question/28001061
#SPJ1
Related Questions
Imagine we are throwing a six sided loaded die in which the probability that the die shows a 1 through 5 is the same and the probability the die shoes a 6 is twice as high as the probability of each of the other numbers. On average, out of these 70 throws, how many times would the die show the number 6?
a) 10 out of 70 throws
b) 20 out of 70 throws
c) 23 out of 70 throws
d) 35 out of 70 throws
e) None of the above
Answers
The correct answer is option b, which is 20 out of 70 throws.
SOLUTION:
A six-sided loaded die is a die that has a non-uniform probability distribution of the faces.
the probability of a number from 1-5 is the same,
by using probability to solve this problem.
The total probability of getting any number from 1-5 is equal to 5 times the probability of getting 6,
the probability of getting 6 is twice the probability of getting any number from 1-5.
the probability of getting any number from 1-5 is (1/7)
the probability of getting 6 is (2/7).
Now, let's calculate the expected number of 6's when the die is thrown 70 times:
Expected value = Number of throws * Probability of getting a 6
Expected value = 70 * (2/7)
Expected value = 20
So, the expected number of times the die would show the number 6 in 70 throws is 20.
Therefore, the answer is option b, which is 20 out of 70 throws.
To know more about PROBABILITY;
https://brainly.com/question/19635206
#SPJ11
Can someone Find f (2)
Answers
Answer:
for each x you put a 2 and times it
Step-by-step explanation:
. cut a 16-ft beam into two pieces so that one piece is 22 in. longer than the other. find the length of the two pieces.
Answers
The length of one piece is equal to 85 inches and the other piece is equal to 107 inches.
What is Conversion Factor ?The quantity or formula required to change a measurement from one system of units to another is known as a conversion factor. The number is typically presented as a numerical ratio or fraction that can be multiplied.
As from the conversion factor we know that,
1 Feet = 12 Inches
So, 16 Feet = 16 * 12 = 192 inches
Let the length of one piece be x
Then the other piece length will be x + 22
The required equation will be
x + x + 22 = 192
2x = 170
x = 85.
Hence, the length of one piece is equal to 85 inches and the other piece is equal to 107 inches.
To learn more about Conversion Factor, visit:
https://brainly.com/question/28366871
#SPJ4
A company made 700000 profit last year. It says this was 12percent more than the year before. What was the profit made the year before
Answers
Answer:
784000
Step-by-step explanation:
Given data
Profit = 700000
Let us begin by finding what 12% of 700000 is
=12/100* 700000
=0.12* 700000
=84000
Hence the profit made last years was
=84000+700000
=784000
.In a multiple regression model, the variance of the error term `eâ is assumed to be the same for all values of the dependent variable.
A)the same for all values of the independent variable
B)zero.
C)the same for all values of the independent variable.
D)one.
Answers
In a multiple regression model, the variance of the error term e is assumed to be the same for all values of the independent variable. Therefore, the correct option is C) the same for all values of the independent variable.
In multiple regression, we use several independent variables to predict the values of the dependent variable. The model estimates the relationship between the independent variables and the dependent variable by calculating the coefficients of the independent variables.
The error term e represents the difference between the predicted value of the dependent variable and the actual value of the dependent variable.
The assumption of constant variance of the error term e is known as homoscedasticity. It means that the variance of the errors is the same for all levels of the independent variables.
This assumption is important because, if the errors have different variances across the levels of the independent variable, the model may not accurately capture the relationship between the independent variables and the dependent variable, leading to biased and unreliable results. so, the correct answer is C).
To know more about regression model:
https://brainly.com/question/31969332
#SPJ4
2) the labor force participation rate is the number of people in the labor force divided by the number of people in the country who are of working age and not institutionalized. the bls reported in february 2012 that the labor force participation rate in the united states was 66.9% (calculatedrisk). a marketing company asks 120 working-age people if they either have a job or are looking for a job, or, in other words, whether they are in the labor force. what are the expected value and the standard error for a labor participation rate in the company's sample?
Answers
The expected value and the standard error for a labor participation rate in the company's sample is 0.0043
In the given question, the labor force participation rate is the number of people in the labor force divided by the number of people in the country who are of working age and not institutionalized.
The BLS reported in February 2012 that the labor force participation rate in the united states was 66.9% (calculate risk).
A marketing company asks 120 working-age people if they either have a job or are looking for a job, or the labor force.
We have to find the expected value and the standard error for a labor participation rate in the company's sample.
Working age people sample n = 120
The labor force participation rate in the United States was 66.9% = 0.669
The Expected value is μ = p = 0.669
The standard error:
SE = √p(1-p)/n
SE = √0.669(1-0.669)/120
SE = √0.669*0.331/120
SE = √0.2214/120
SE = √0.001845
SE = 0.043
Hence, the expected value and the standard error for a labor participation rate in the company's sample is 0.0043.
To learn more about standard error link is here
brainly.com/question/13179711
#SPJ4
On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The data shown below ($) contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities.10.38 9.08 11.7 6.4 12.32 14.43 15.4610.02 14.4 16.08 17.5 19.08 17.88 12.7516.7 17.25 15.54 14.7 18.81 17.89 14.818.32 15.95 26.75 22.22 22.66 20.88 23.3518.95 23.6 19.16 23.65 27.7 26.95 27.0426.89 24.58 37.76 26.41 38.91 29.36 41.55(a)Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. (Enter != for ≠ as needed.)H0:Ha:(b)What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.)What is the p-value for your hypothesis test in part (a)? (Round your answer to four decimal places.)(c)At α = 0.05, can your null hypothesis be rejected? What is your conclusion?Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.(d)Repeat the preceding hypothesis test using the critical value approach.State the null and alternative hypotheses. (Enter != for ≠ as needed.)H0:Ha:Find the value of the test statistic. (Round your answer to three decimal places.)State the critical values for the rejection rule. Useα = 0.05.(Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)test statistic≤test statistic≥State your conclusion.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.
Answers
The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .
The charge at which anything happens is referred to as the velocity at which it happens.
The required details for mean rate :
(a) H0: µ = 21.62
Ha: µ ≠ 21.62
(b) t = -1.231
p-value = 0.2253
(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.
(d) H0: µ = 21.62
Ha: µ ≠ 21.62
t = -1.231
check statistic ≥ 2.020
Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.
The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.
The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.
The crucial values for t at this level of significance are t=2.019.
Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.
to learn more about null hypothesis visit:
https://brainly.com/question/16261813
#SPJ4
!!!PLEASE HELP I"LL GIVE BRAINLIEST!!!
Answers
Answer:
See below
Step-by-step explanation:
6.) angle 5 + angle 2 =180° ( since angle 1 = angle 5)
write the equation in slope intercept form.
Answers
Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope, b is the y-intercept (when x=0).
so, the solution is already fully defined for us :
y = -9x/5 - 4 or (-9/5)x - 4
Four students are running for president of the Community Service Club: Arthur (A), Brandy (B), Chandra (C), and Darrell (D). The preference ballots for the candidates are given below. Who is the winner based on the PLURALITY METHOD?
DBAC DABC DABC DABC DABC ACBD CABD DABC DBAC DABC ACBD DABC
1.AURTHUR
2.BRANDY
3.CHANDRA
4.DARRELL
Answers
Answer:
Darrell
Step-by-step explanation:
the letter appears first the most is the letter D
Hope this helps plz hit the crown :D
As students are running the president they make use of the plurality method and the winner is Darrell thus option D is correct.
What is the plurality method?The plurality method is a type of voting in which each voter is allowed to vote for only one candidate and the winner is the person who represents the plurality of the votes and hence gets the largest share of votes. Based on this method the largest number of votes goes to Derrell.
Find out more information about the plurality method.
brainly.com/question/13911768
Question 10(Multiple Choice Worth 5 points)
(Identifying Functions LC)
The graph represents a relation where x represents the independent variable and y represents the dependent variable.
a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 1 comma 3, at negative 1 comma negative 2, at 0 comma 2, and at 5 comma 1
Is the relation a function? Explain.
No, because for each input there is not exactly one output.
No, because for each output there is not exactly one input.
Yes, because for each input there is exactly one output.
Yes, because for each output there is exactly one input.
Answers
Is the relation a function:
No, because for each input there is not exactly one output.How to know if the relation is a functionTo determine if the relation is a function, we need to check if there is exactly one output for each input.
Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).
This means that there are two outputs for the same input, so the relation is not a function.
Therefore, the correct answer is: "No, because for each input there is not exactly one output."
Learn more about graphs at
https://brainly.com/question/19040584
#SPJ1
the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring. true/false
Answers
The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.
The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:
P(A or B) = P(A) + P(B) - P(A and B)
On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:
P(A and B) = P(A) * P(B|A)
where P(B|A) is the conditional probability of B given that A has occurred.
It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.
In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.
In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.
To learn more about probability click on,
https://brainly.com/question/30648713
#SPJ4
e. now say two robots are going to attempt the same task. the robots operate independently from one another. what is the probability that both robots succeed less than or equal to 80 times out of 100?
Answers
The probability of one robot succeeding in a task less than or equal to 80 times out of 100 can be calculated using a binomial distribution formula. Assuming the probability of success for one robot is p, the probability of success for both robots is p^2. Using the binomial distribution formula, we can calculate the probability of success for each robot and then multiply them together to find the probability of both robots succeeding less than or equal to 80 times out of 100. The formula is P(X<=80) = sum of P(X=k) from k=0 to k=80, where X is the number of successes in 100 attempts.
To calculate the probability of both robots succeeding less than or equal to 80 times out of 100, we need to first find the probability of success for one robot. Let's assume the probability of success for one robot is p = 0.7. The probability of success for both robots is then p^2 = 0.7^2 = 0.49.
Next, we need to use the binomial distribution formula to calculate the probability of success for each robot. The formula is P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of attempts, k is the number of successes, and (n choose k) is the binomial coefficient.
Using this formula, we can calculate the probability of one robot succeeding less than or equal to 80 times out of 100. P(X<=80) = sum of P(X=k) from k=0 to k=80 = sum of [(100 choose k) * 0.7^k * 0.3^(100-k)] from k=0 to k=80.
We can use a calculator or a software program like Excel to calculate this sum. The result is 0.9899, which means the probability of one robot succeeding less than or equal to 80 times out of 100 is almost 99%.
To find the probability of both robots succeeding less than or equal to 80 times out of 100, we just need to multiply the probability of one robot succeeding by itself: 0.9899 * 0.9899 = 0.9799. So the probability of both robots succeeding less than or equal to 80 times out of 100 is about 98%.
The probability of both robots succeeding less than or equal to 80 times out of 100 can be calculated using the binomial distribution formula. Assuming the probability of success for one robot is p, the probability of success for both robots is p^2. Using the formula P(X<=80) = sum of P(X=k) from k=0 to k=80, we can calculate the probability of one robot succeeding less than or equal to 80 times out of 100. Multiplying this probability by itself gives us the probability of both robots succeeding less than or equal to 80 times out of 100. For the given values, the probability is about 98%.
To know more about bionomial distribution visit:
https://brainly.com/question/9295333
#SPJ11
All students in the six grade either purchased their lunch or brought their lunch from home on Monday 24% of the students purchased their lunch 190 students brought their lunch from home how many students are in the six grade
Answers
Answer:
250
Step-by-step explanation:
190 students = 76%
190/76=2.5
2.5 x 100 =250
write an equation in slop intercept form for the line that has a slope of 5 and passes through the point (2,30)
Answers
You have 30 chocolate candy but Jayna has 10 more chocolate candy than you and Amy has A what does A equal to ?
Answers
Answer:
40
Step-by-step explanation:
so it is just like a regular equation like 30+10=40 but your just finding what A means so 40 yea
If we are told ab=0, then what can we infer? by the zero product property we know = 0 = 0
Answers
If we are told that ab=0, then we can infer that either a or b (or both) must be equal to 0.
This is because when the product of two numbers is 0, at least one of the numbers must be 0 according to the zero product property.
One of the most crucial concepts for pupils to understand in maths and science is the zero product property.
The greatest educators, mathematicians, and recognized scientists in the fields of physics and chemistry have worked with Vedantu to provide their insights on the subject.
Their suggestions helped us develop materials for your understanding that would make it simple for you to put these ideas into practice.
Know more about zero product property here:
https://brainly.com/question/1626209
#SPJ11
BRAINIEST TO WHOEVER RIGHT
Answers
310
232
196
428
are in order and all correct <3
Answer:
118, 310, 232, 196, 428
Step-by-step explanation:
-118 students HAVE set academic goals (64+54)
-310 students HAVE NOT set academic goals (168+142)
-232 MALES (64+168)
-196 FEMALES (54+142)
-428 WERE SURVEYED (196+232)
in a certain amount of time, a plane traveling at a constant $250$ miles per hour traveled $20,\!000$ feet. in this same amount of time, how many feet would a plane traveling at a constant $400$ miles per hour travel?
Answers
At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.
The speed of an object is the ratio of distance and time it takes for the object to travel that distance.
Mathematically,
S = D/T
where
S is velocity
D is the distance traveled or distance traveled
T is the time it takes to travel that distance
Velocity is considered a scalar quantity. A scalar size only has a size. It does not provide information about the direction of object movement.
If an object moves at a constant speed, it means that the object moves the same distance in the same time interval.
Acceleration of an object is the ratio of velocity and time. vector size. Vector quantities have both magnitude and direction.
Mathematics,
a = v/t
When an object is in motion, its acceleration is never zero.
When an object moves, it moves a constant distance over time. Therefore, body positions cannot be the same from the same coordinate system.
Given in the question:
First the plane was travelling at a constant rate of 250 miles per hour.
Initial height was 20000 feet
Now,
As the speed increases and travels at a constant rate of 400 miles per hour.
Now,
(400 /250 ) × 20000
= 1.6 × 20000
= 32000 feet
Thus, At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.
Learn more about Constant Rate:
https://brainly.com/question/13659182
#SPJ4
Write and solve a division equation to match the scenario below:
Ali was paid $75 for mowing a neighbor’s yard. This is one fourth of the amount of money she earned all summer. How much did Ali earn all summer?
Answers
Answer:
1/4 of X is $75
ie
X divided by 4 = 75
make sense?
now multiply both sides by 4 to solve for X, the answer is 300
All the best
Step-by-step explanation:
the solomon four-group design utilizes how many control groups?
Answers
The Solomon four-group design includes two control groups: one that is not pretested and does not receive treatment, and another that is not pretested but receives treatment.
In the Solomon four-group design, there are two treatment groups and two control groups. The purpose of this design is to examine the interaction effect between pretesting and treatment.
The first control group does not receive any treatment, while the second control group also does not receive treatment but is pretested. These two control groups help to measure the impact of pretesting on the dependent variable.
The two treatment groups receive the treatment being studied, with one group being pretested and the other group not being pretested. By comparing the pretested and non-pretested treatment groups, researchers can determine if there is an interaction effect between pretesting and the treatment.
To know more about Solomon four-group visit:
https://brainly.com/question/13735730
#SPJ11
Cam you help me on this please and thank you!
Answers
Answer:
0, 5, 7
Step-by-step explanation:
You just follow the rule written at the top, if the left column is x, the right column is x/6. For example, if the right column is 0, the left would be 0/6, which is 0.
y=-1/2x-1
y=1/4x-4
graphing method
Answers
19. Makayla has 2 c of butter. If she uses 1/4 c for
cookies, 1/2 c for fudge, and 1/8 c for rolls, how
much butter will she have left?
Answers
1 and 1/8
(1 1/8)
What are the solutions of 2x^2 + 7x = 4
½
4
-½
-4
7
-7
Answers
alice refuses to sit next to either bob or carla. derek refuses to sit next to eric. how many ways are there for the five of them to sit in a row of chairs under these conditions?
Answers
The total number of ways five of them to sit in a row of chairs under the given condition is equal to 152 ways.
Use the principle of inclusion-exclusion to solve this problem.
Let us first consider the case where Alice sits next to Bob or Carla.
Now, treat Alice, Bob, and Carla as a block, which can be arranged in 3! = 6 ways.
Within this block, Alice can sit in two different positions,
And Bob and Carla can sit in the remaining two positions.
There are 6 x 2 = 12 ways for Alice to sit next to Bob or Carla.
Now,
Let us consider the case where Derek sits next to Eric.
Treat Derek and Eric as a block,
which can be arranged in 2! = 2 ways.
Within this block,
Derek can sit in two different positions,
And Eric can sit in the remaining position.
There are 2 x 2 = 4 ways for Derek to sit next to Eric.
However,
Double-counted the case where Alice sits next to Bob or Carla AND Derek sits next to Eric.
Treat Alice, Bob, Carla, Derek, and Eric as two blocks,
which can be arranged in 2! x 3! = 12 ways.
Within each block,
There are 2 ways to arrange the people.
There are 12 x 2 x 2 = 48 ways for both conditions to be satisfied.
Using the principle of inclusion-exclusion,
The total number of ways for the five of them to sit in a row of chairs under these conditions.
Total
= total number of ways - number of ways Alice sits next to Bob or Carla - number of ways Derek sits next to Eric + number of ways both conditions are satisfied
= 5! - 12 - 4 + 48
= 152
Therefore, there are 152 ways for the five of them to sit in a row of chairs under these conditions.
Learn more about ways here
brainly.com/question/30273246
#SPJ4
A garden is 15 feet long by 5 feet wide. The length and width of the garden will each be increased by the
same number of feet. This expression represents the perimeter of the larger garden
(z+15) +(2+5) +(2+15) +(2+5)
Which expression is equivalent to the expression for the perimeter of the larger garden?
Select all that apply
A 40 + 40
B. 2/22 +20
C. 23+15)(2+5)
D. 4 (2+15)(2+5)
DE 22 +15) +22+5)
Answers
Answer:
A, B, E
Step-by-step explanation:
A) 40 + 40
B) 2/22 +20
E)22 +15) +22+5)
Samra's guardians invested money for her into a 529 college savings plan, which compounds annually. The growth of the savings plan per year, x, can be represented by the exponential function f(x) = 400(1. 02)x. What is the meaning of the y-intercept in the context of the problem?.
Answers
The exponential function f(x) = 400(1. 02)ˣ is $400 does the y-intercept mean in the context of the issue.
Given that,
Samra's guardians made a yearly compounding investment on her behalf in a 529 college savings plan. The exponential function f(x) = 400(1. 02)ˣ can be used to describe the growth of the savings plan on an annual basis, x.
We have to find what does the y-intercept mean in the context of the issue.
We know that,
The exponential function is f(x) = 400(1. 02)ˣ.
In this instance, the significance of the y-intercept in relation to the situation at hand is that the beginning value of the investment is equal to $400.
Therefore, The exponential function f(x) = 400(1. 02)ˣ is $400 does the y-intercept mean in the context of the issue.
To learn more about function visit: https://brainly.com/question/28599653
#SPJ4
factorise x squared + 3x
Answers
Answer:
x(x + 3)
Step-by-step explanation:
x² + 3x ← factor out x from each term
= x(x + 3)
HELP!! ILL MARK BRAINLIEST
Answers
Answer:
a
Step-by-step explanation:
youre welcome