Answer:
-6.1,-2.5,-0.4,3.4
Step-by-step explanation:
If we used a number line and graphed all the numbers, we could visually see that -6.1 is the farthest from zero followed by -2.5,-0.4 and 3.4. Because we are doing the coldest temperature to warmest and not the other way around the answer would be -6.1,-2.5,-0.4,3.4
Hope this was helpful!
8. Divide-2x³-4x² + 3x + 2 by x-3. (1 point)
-2x²10x-27, R-79
-2x²10x-27
-2x²10x - 27, R 83
-2x²10x + 27, R 83
The value of the quotient of the polynomial is 2x^2 + 2x + 10 and the remainder is 28
What does it mean to divide polynomials?A method for solving a rational number that represents a polynomial divided by a monomial or another polynomial is called "dividing polynomials." In order to divide normally, we place the dividend and the divisor in the exact same manner.
How do you divide polynomials?Divide the first term of the dividend by the highest term of the divisor, which in this case is x (i.e., the term with the highest power of x).
Divide the divisor by the outcome you just got (the first term of the eventual quotient).
By following the above rules where
2x3-4x2+3x+2 is divided by the x-3, We get the following equation
where
quotient is 2x2+2x+10
and the remainder is 28
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An 80% confidence interval for a proportion is found to be (0. 27 , 0. 33). What is the sample proportion?
A. 0. 29
B. 0. 30
C. 0. 31
D. 0. 33
If an 80% confidence interval for a proportion is found to be (0.27, 0.33), then the sample proportion would be 0.30
What do you understand by sample proportion?Sampling is frequently used to estimate the proportion of a population that has a given attribute, such as the proportion of all faulty goods coming off an assembly line or the proportion of all individuals visiting a retail store who make a purchase before leaving. The percentages for the population and sample are written as p and p, respectively. Thus, if 43% of individuals visiting a business make a purchase before departing, p = 0.43; if 78 people enter the store and make a transaction, p=78/200=0.39.
The sample proportion is a random variable because it differs from sample to sample in ways that are impossible to anticipate in advance.
How to solve?
For this case the confidence interval is given by:
(0.27; 0.33)
We can find the estimaed proportion in the following way:
p = (0.27 + 0.33)/2 = 0.30
then the sample proportion would be 0.30
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The table shows the ingredients for one batch of barbecue sauce. Anne has 9 cups of ketchup and makes the greatest number of whole batches of barbecue sauce possible. How much ketchup remains?
No cup of ketchup remains.
From the question ingredients for one batch of barbecue sauce are as follows:Brown Sugar =1/4 C
Cider Vinegar = 1/2 C
Ground Cumin = 1tsp
Ketchup = 2/3 C
Pepper = 1tsp
Total Quantity of Ketchup =9 cups
Calculating How much ketchup remaining:1 batch of barbecue sauce =2/3 Cup
x batch of barbecue sauce =9 Cups
cross multiplying and making x batch of barbecue sauce subject of the formula:x batch of barbecue sauce = 9 Cups *1 batch of barbecue sauce
2/3 Cup
x batch of barbecue sauce =13[tex]\frac{1}2}[/tex] batches
we know that;
1 batch of barbecue sauce =2/3 Cup
Therefore,
The total number of ketchup Cups used = Total batch of barbecue sauce *quantity for1 batch of barbecue sauce
= 13[tex]\frac{1}2}[/tex] batches * 2/3 Cup
The total number of ketchup Cups used = 9 Cups
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Solve for x please help
If f(1)=160 and f(n+1)= -2f(n) what is f(4)
Answer:f(4)=−2f(3)=(−2)∗(+640)=−1280
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Answer:
the remaining mass is 7.3 g
Step-by-step explanation:
a=30g
t=200 years
h=98 years
f(98)=a([tex](\frac{1}{2})^ \frac{t}{h}[/tex]
f(98)=30([tex](\frac{1}{2})^ \frac{200}{98}[/tex]
f(98)=7.3
an object rolls without slipping onto a surface where the coefficient of friction between object and surface is twice as great as that needed to prevent slipping. part a describe the subsequent motion.
The object continues to roll without slipping, and the actual force of static friction stays constant.
What is static friction?A force that holds an object at rest is called static friction.
The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across.
The range of static friction is 0 to the minimum force required to initiate motion.
The following is the formula to determine static friction: Normal Force x Static Friction Coefficient = Static Friction.
So, in the given situation the object keeps rolling without slipping, and the static friction's actual force remains constant.
Therefore, the object continues to roll without slipping, and the actual force of static friction stays constant.
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PLEASE HELP!!! 50 points!!!!!!
System A:
5x + 3y = 2
4x + 3y = 1
The system has no solution.
The system has a unique solution:
Equation:____________
The system has infinite solutions
System B:
y = 5x + 8
y = 5x + 5
The system has no solution.
The system has a unique solution:
Equation:____________
The system has infinite solutions
System A: (1, -1)
System B: No solution
Answer:
System A
The system has a unique solution: x=1, y=-1
System B
The system has no solution
Step-by-step explanation:
System A
Use simultaneous equations to see if we can solve the system by multiplying the second equation by -1 and adding them together:
5x + 3y = 2
-4x - 3y = -1
We get (5-4)x+(3-3)y=(2-1), which simplifies to x=1
If x=1:
5+3y=2
3y=-3
y=-1
Since we have specific answers for x and y, we can say the system has a unique solution.
System B
If y is equal to both 5x+8 and 5x+5, that means
5x+8=5x+5
Subtracting 5x from both sides we get 8=5, which is illogical.
Therefore the system has no solution
Vocabulary Use the terms divisor,
dividend, quotient, and remainder to
describe how to divide.
The divide rule will be;
⇒ Divisor = (Dividend - Remainder) / Quotient
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Vocabulary Use the terms divisor, dividend, quotient, and remainder.
Now,
If we have to find the divisor , then we can use the divide rule as;
⇒ Divisor = (Dividend - Remainder) / Quotient
Thus, The divide rule will be;
⇒ Divisor = (Dividend - Remainder) / Quotient
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Hi, i wa wondering if anyone could explain why -3^2 i -9, but (-3)^2 i 9. Int the anwer found through the ame proce?
Given two calculations are different.
What is a square of a number?
The square of any number can be calculated by multiplying the number by itself twice.
Let 'a' be any number then the square of this number 'a' will be
a² = a × a
Now - 3² = - (3) × (3)
= -9 ----------(I)
and (-3)² = (-3) × (-3)
= 9 ----------(II)
By observing (I) and (II) we can say that in the second case just because of the scope of brackets the square of -3 would result in 9.
But in the first case square of 3 would give 9 and because of the minus sign, it gave -9.
Hence, These two calculations are different.
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Graph the given sequence to help you answer the
questions.
19, 15, 11, 7, ...
Which point is found on the graph?
Is the sequence linear? Why?
What type of sequence is it?
Answer: the answer is A,B,E
Step-by-step explanation:
Answer: The answer is (four/seven)
Yes, because it forms a straight line.
Arithmetic; it's a linear function.
Step-by-step explanation:
2023 Edgen
A random sample of 64 sat scores of students applying for merit scholarships showed an average of 1400 with a standard deviation of 240. the 95onfidence interval for the population mean sat score is: ________
a. 1.96. b. 1.998.
c. 1.645. d. 1.28.
The 95% confidence interval for the population mean SAT score is given as follows:
(1340, 1460).
How to calculate the confidence interval?The confidence interval is calculated using the t-distribution, as the standard deviation for the population is not known, only for the sample.
The bounds are obtained according to the equation defined as follows:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which the variables of the equation are presented as follows:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.In the context of this problem, the values of these parameters are given as follows:
[tex]\overline{x} = 1400, n = 64, s = 240[/tex]
The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 64 - 1 = 63 df, is t = 1.998.
Then the lower bound of the interval is of:
1400 - 1.998 x 240/sqrt(64) = 1340.
The upper bound of the interval is of:
1400 + 1.998 x 240/sqrt(64) = 1460.
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PLS HELP MEEEEEEEEEEEEEEEEEEEE
The area of the triangle in the image is 1/20 square centimeters.
How to find the area of the figure in the image?This is a rather trivial problem.
On the image, we can see a triangle where the height and the base are known quantities.
Remember that for a triangle of height H and base B, the area is given by the formula:
A = B*H/2
Here we can see that:
H = (1/6) cm
B = (3/5) cm
Then we can replace these two fractions on the area formula, we will get:
A = (1/6 cm)*(3/5 cm)/2
A = (3/5*6 cm²)/2
A = (3/30*2 cm²)
A = (3/60 cm²) = (1/20 cm²)
That is the area of the triangle in the image.
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what is answers in 2 this items help me please
1) missing number is 7 (answer #2)
Each circles' numbers add up to 20. (the first one is 1 + 9 + 10, the second is 5 + 4 + 11.)
20 minus 10 minus 3 is 7, so that's the missing number.
2) missing number is 3 (answer #4)
This one's similar to the previous question. Each square's numbers have a sum of 10, this time. (First square is 2 + 7 + 1 + 0, second is 4 + 3 + 1 + 2.)
10 minus 6 minus 1 minus 0 is the same as 10 minus 7. This equals 3- so there's the number that's missing!
Hopefully this helps!
The sum of two numbers is 33, and the sum of 7 times the first number and 5 times the second number is 197.
Answer: First number is 16, second number is 17.
Step-by-step explanation
16 + 17 = 33
16 x 7 = 112
17 x 5 = 85
112 + 85 = 197
What is 17 x 5.8 SHOW YOUR WORK please send a photo of work by pressing
Answer:
98.6
Step-by-step explanation:
in photo!!
A line with the slope of 10/17 passes through the point (17,3). Whats is its equation in slope intercept form?
Answer:
y = 10/17x - 7
Step-by-step explanation:
→ Write in standard form
y = 10/17x + c
→ Substitute in (17, 3)
3 = 10 + c
→ Solve for c
c = -7
→ Rewrite
y = 10/17x - 7
graph the line that represents this equation
[tex]3x-4y=8[/tex]
The graph of the line that represents the given equation, 3x - 4y = 8, is shown below
Graph of Linear equationsFrom the question, we are to graph the line that represents the given equation.
The given equation is
3x - 4y = 8
To graph the line, we will determine x-intercept and y intercept of the line.
The x-intercept in the point where y equals zero on the line
and
The y-intercept in the point where x equals zero on the line
Determining the x-intercept
3x - 4y = 8
Set y = 0
3x - 4(0) = 8
3x = 8
x = 8/3
The x-intercept is (8/3, 0)
Determining the y-intercept
3x - 4y = 8
Set x = 0
3(0) - 4y = 8
-4y = 8
y = 8/-4
y = -2
The y-intercept is (0, -2)
Using the x-intercept and y-intercept, the graph of the line is shown below
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there are 4 different mathematics courses, 5 different science courses, and 2 different history courses. must take one of each how many different ways can this be done
A student can take one of each subject in 40 different ways as calculated using the properties of permutation and combination..
So there are four separate math classes, five different science courses, and two different history courses.
There are now 4 ways to complete a math course.
There are 5 different ways to take science courses.
There are two ways to take a history course.
Total ways are now calculated as the product of the potential ways for each course, which equals 4 × 5 x 2 or 40 ways.
As a result, there are 40 possible combinations for three subjects.
In mathematics, a permutation of a set is, if the set also has an ordered structure, the rearranging of its members into a sequence or linear order. The technique of altering an ordered set's linear order is known as permutation.
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PQ and RS are two lines that intersect at point T, as shown below: Two lines PQ and RS intersect at point T. Angles PTR and STQ are shown congruent. Which statement is used to prove that angle PTR is always equal to angle STQ? (1 point) Lines PQ and RS do not have a fixed length. Angle PTR and angle PTS are supplementary angles. Lines PQ and RS intersect at an angle less than a right angle. Angle PTR and angle PTS are complementary angles.
The statement that is used to prove the congruence of angles PTR and STQ is given by:
Lines PQ and RS intersect at an angle less than a right angle.
What are congruent angles?Congruent angles are angles that have the same measure.
One example of congruent angles is for vertical angles, as these angles are opposite by the same vertex in crossing segments, with an angle less than a right angle of 90º, and then these two angles will be congruent.
The common vertex in the segment given at the end of the answer is of:
T.
The vertical angles are both acute angles, that is, angle measures that are less than 90º, which is the reason for the correct statement.
Missing InformationThe diagram is given by the image presented at the end of the answer.
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Which grade is best in school?
A (C)
B (A-)
C (A)
D(B+)
I think its B+ because B stands for Best, and the + equals means advanced best I got it wrong, please help.
Answer:
I didn't know kindergardeners had Brainly.
Which of the following is a fundamental difference between the t statistic and a z-score?
The t statistic uses the sample variance in place of the population variance.
The fundamental difference between t-test and z-score is: t-test is used to determine the difference in data sets, the standard deviation and the z-score is used to to draw data from a given population with different means and standard deviation. A) The t statistic uses the sample mean in place of the population mean
How to know the use of t-test and z-score?T-test is a statistic model which is used to find how averages of different data sets differ in case the standard deviation and Z-scores statistic helps to draw data from populations with different means and standard deviations and also place them on a common scale.
The z-core formula is:
Z₁=[tex]\frac{x-m}{s}[/tex]
Therefore the fundamental difference is that the t-test uses the variance in place of the population variance.
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Complete question:
Which of the following is a fundamental difference between the t statistic and a z-score?
A) The t statistic uses the sample mean in place of the population mean
B) All of the choices are differences between t and z.
C) The t statistic computes the standard error by dividing the standard deviation by n - 1 instead of dividing by n.
D) The t statistic uses the sample variance in place of the population variance.
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Answer:
129723
Explanation:
[tex]1800(1+0.13)^{35} \approx 129723[/tex]
Sheila gained 20 pounds in 9 1/2
Months. Find Sheila’s rate of gaining weight in pounds per month
Answer:
About 2.1 pounds a month.
Step-by-step explanation:
In this question, we know the amount of weight gained and the time it took, 20 pounds and 9.5 months.
to find the rate, we can do:
20/9.5
about 2.1
So, the answer will be:
about 2.1 pounds / month
help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!
Answer:
6115
Explanation:
[tex]70000(1-0.15)^{15} \approx 6115[/tex]
help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!
Answer:
6115
Explanation:
[tex]70000(1-0.15)^{15} \approx 6115[/tex]
You have at most 7 hours to spend playing soccer and swimming. You
want to spend at least 2 hours playing soccer and more than 2 hours
swimming. Write and graph a system that represents the situation. Give
one example of the amount of time you can spend on each activity.
Answer:
Step-by-step explanation:
at the beginning of the day, the stock market goes up 30 1/2 points. At the end of the day, the stock market goes down 120 1/4 points. What is the total change in the stock market from the beginning of the day to the end of the day?
The total change in the stock market from the beginning of the day to the end of the day is 89.75
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
At the beginning of the day, the stock market goes up 30 1/2 points.
At the end of the day, the stock market goes down 120 1/4 points.
The total change in the stock market from the beginning of the day to the end of the day.
= 120(1/4) - 30(1/2)
= 481/4 - 61/2
= 120.25 - 30.5
= 89.75
Thus,
The total change in the stock market from the beginning of the day to the end of the day is 89.75
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2n-15=-5n+4n
Thank You
Evaluate a+b+cd if a=78 , b=−716 , c=0.8 , and d=14 . Write your answer as a fraction in simplest form
Answer:
-626.8
Step-by-step explanation:
78 -716 + (0.8)(14)
78 - 716 + 11.2
(78 -716) + 11.2
-638 + 11.2
-626.8