The proportion of the 30 sampled bottles are more than 12 ounces is 0.30. The value is most affected by the error will be mean.
What is mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency. A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set. When a data set is ranked from least to greatest, the median is the midpoint.
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Consider the quadratic equation.
X^2 -5x=6
If a student wants to factor this equation by the method of completing the square, why term should the student add to both sides as the first steps?
In completing the square method, considering the equation X^2 - 5x = 6 the student should add 25 / 4 to both sides of the equation
How to know term should the student add to both sidesThe quadratic equation is an equation of the form
ax^2 + bx + c
The completing the square method is on of the methods of solving equations of the form above
The factor to be added on the both sides of the equation while using the completing the square method is
(b / 2a)^2
compared to the equation in the problem X^2 - 5x = 6 it is
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The ratio of c and 10
The ratio of c and 10 is c:10.
According to the question,
We have the following information:
We have one variable and one number which are c and 10 respectively.
Now, we already know that ratio can be simply understood as division. So, to find the ratio of c and 10 we will divide c by 10. We also know that a variable can not be divided by a number.
(For example, x can not be divided by 20.)
So, we will replace the sign of division by that of the ratio.
c/10
c:10
Hence, the ratio of c and 10 is c:10.
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Starting at midnight, Aarf the Dog barks for 15 seconds and
then is silent for the next 25 seconds. Aarf the Dog continues
this bark-fest until 1:01 AM that same morning. How many
times did Aarf the Dog bark for 15 seconds?
The number of times Aarf the Dog bark for 15 seconds if the dog starts barking at midnight and stops at 1:01 AM is 91.5 times
What is the number of times Aarf the Dog bark for 15 seconds?Time Aarf dog barks = 15 secondsTime Aarf dog become silent = 25 secondsTotal time of barking and silence = 15 seconds + 25 seconds
= 40 seconds
Time Aarf dog starts barking = 12:00 amTime Aarf dog stops barking = 1:01 AMDifference in time = 1:01 AM - 12:00 am
= 1 hour 1 minutes
Convert hours and minutes to seconds
1 hour = 60 minutes1 minutes = 60 seconds1 hour 1 minutes = 61 minutes × 60 seconds
= 3,660 seconds
Number of times Aarf the Dog bark for 15 seconds = Total hours Aarf dog barks / Total time of barking and silence
= 3,660 / 40
= 91.5 times
So therefore, the number of Aarf the Dog bark for 15 seconds is 91.5 times
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directions: use the given information to find the desired measurement. a ferris wheel has a diameter of 50 feet. how far has a person traveled when they have moved 270 degrees?
Based on the information, the person traveled 117.8 feet by the Ferris wheel.
Circumference = π×diameter
Keep the values in formula and perform multiplication to find the circumference of the wheel
Circumference = 50π
On 1 complete revolution of 360 degrees, the distance covered = 50π
So, revolution of 270 degrees, the distance covered will be = (50π/360) × 270
Performing multiplication and division on Right Hand Side of the equation
The distance traveled = 117.8 feet
Hence, the person travelled 117.8 feet.
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solve 20/2*5+8 = what is this equal to
Answer:
58
Step-by-step explanation:
PEMDAS!
1) 20/2 = 10
2) 10*5+8
3) 10*5 = 50
4) 50 + 8 = 58
Answer is 58, hope this helps ;)
A) SAS
B) ASA
C) AAS
D) SSS
E) there is not enough information to guarantee congruent triangles
Halima either travels by bus or walks when she visits the town centre.
The probability that she catches the bus to town is 0.4.
The probability that she catches the bus from town is 0.9
b) Work out the probability that Halima
walks at least one way.
The probability that Halima walks at least one way is 0.64
Calcualting Probability:
Probability is a branch of mathematics which is deals with the occurrence of a random event. The value of probability is expressed from zero to one but not more than 1. It is used to predict how likely events are to happen. The probability of an event 'E' is denoted by P(E).
Here we have
Halima either travels by bus or walks when she visits the town center
The probability that she catches the bus to town = 0.4
The probability that she catches the bus from town = 0.9
Let A and B be the events that she catches the bus to the town and the event that she catches the bus from the town respectively
=> P(A) = 0.4
=> P(B) = 0.9
The above events P(A) and P(B) are two independent events
Then the probability that she catches the bus to and from the town
=> P(A∩B) = 0.4 × 0.9 = 0.36
Therefore,
The Probability she walks at least one way P(A ∪ B) = 1 - P(A∩B)
=> P(A∪B) = 1 - 0.36
=> P(A∪B) = 0.64
Hence,
The probability that Halima walks at least one way = 0.64
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What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
The factor of the polynomial f(x) graphed on the coordinate plane is
(x - 1).
What is factor of the polynomial?
A polynomial with coefficients in a certain field or in integers is expressed as the product of irreducible factors with coefficients in the same domain in mathematics and computer algebra, which is known as polynomial factorization.
A polynomial can be factored by expressing it as the product of two or more components; this is somewhat the opposite of multiplying.
From the given graph we can see that, graph crosses x - axis at points
x = 1 and x = 8.
That means x = 1, 8 are the zero of the polynomial.
Since, if x = a is a zero of the polynomial, then (x - a) is the factor of the polynomial.
As x = 1, 8 are zero of the polynomial so (x - 1) and (x - 8) are the factors of the polynomial.
Hence, from the given options (x - 1) is factor of the polynomial.
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It is given that AC ≅ AD and ∠CAB ≌ ∠DAB
Part A Write a paragraph proof to prove ABC ≌ ABD. Explain in complete sentences each statement and reason. Be sure to give the reason the two triangles are congruent.
Part B Now that you have proven the two triangles are congruent, can you show that ∠CBA ≌ ∠DBA? Explain your reasoning in a complete sentence.
Answer:
SAS
Step-by-step explanation:
∠CBA ≌ ∠DBA are equal by SAS
is the number 1.41421356 rational
The number 1.41421356 is not a rational number.
What is a rational number?
A number that can be expressed as a ratio is called a rational number. This indicates that it may be expressed as a fraction, where the numerator (the number on top) and denominator (the number on the bottom) are both whole numbers.
The given number is 1.41421356
The square root of 2 has the approximate value of 1.41421356
The number is non-terminating and non-repeating decimals.
That's why the given number is not a rational number.
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suppose a population has a mean of 7 for some characteristic of interest and a standard deviation of 9.6. a sample is drawn from this population of size 64. expressing your answer to one decimal place, what is the standard error of the mean?
The standard error with "mean of 7 for some characteristic of interest and a standard deviation of 9.6 and a sample is drawn from this population of size 64" is 1.2.
What is standard error?Standard deviation of the theoretical distribution of a large population of such estimates is equal to the standard error, which is a measure of an estimate's statistical accuracy. The population mean's likelihood to differ from a sample mean is indicated by the standard error of the mean, or simply standard error. It reveals how much the sample mean would change if a study were to be repeated with fresh samples drawn from a single population.
Here,
Sample size=64
Standard deviation= 9.6
Error=Standard deviation/Sample size
=σ/√n
=9.6/√64
=9.6/8
=1.2
The sample is taken from this population of 64 people, with a mean of 7 for some relevant characteristics, a standard deviation of 9.6, and a standard error of 1.2.
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Find the perimeter of the triangle
HELPPPPPP
Answer: 4x + 29
Step-by-step explanation: add the like terms together.
Answer:
39 inches
Step-by-step explanation:
the triangle has all equal angles
this means it is equilateral and this also means all the sides are equal
so take 2 sides and set them equal to each other to find x
21 - x = x + 5
now solve
add x to both sides
21 = 2x + 5
subtract 5 to both sides
16 = 2x
divide everything by 2
8 = x
now flip it
x = 8
plug this is to one of the equations and multiply that by 3
8 + 5 = 13
13 * 3 = 39
that is the perimeter
Please Help. Will mark brainliest for full explanation Image is attached.
Several bakeries in a town were asked the price for different amounts of donuts at their shop. The scatter plot with a line of best fit was created from the data gathered. Part A: Estimate the correlation coefficient. Explain your reasoning for the given value. (4 points)
Part B: How many positive and negative residuals are there? Explain your reasoning. (3 points)
Part C: State the point with the largest absolute value residual and interpret the point in terms of the context of the data. (3 points)
A. The correlation coefficient is of 0.303.
B. There are six positive and four negative.
C. The point with the largest residual is (6,2).
What is correlation coefficient?By choosing the points (x,y) from the scatter plot and entering them into a calculator, the correlation coefficient can be calculated.
A) The coordinates of these points are:
(1,2), (1,3), (2,4), (3,4), (3,5), (4,3), (4,5), (5,5), (5,6), (6,2).
Now, using Pearson correlation we have
X Values:
∑ = 34
Mean = 3.4
∑(X - Mx)² = SSx = 26.4
Y Values:
∑ = 39
Mean = 3.9
∑(Y - My)² = SSy = 16.9
So, when X and Y Combined
N = 10
∑(X - Mx)(Y - My) = 6.4
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = 6.4 / √((26.4)(16.9))
r= 0.303
Hence, the correlation coefficient is 0.303
B) As, The difference between the observed value and the expected value, or residual, is determined as follows:
There are six positive residuals because the positive residuals are the spots above the line.There are four negative residuals because the negative residuals are the points below the line.C) The largest residual using absolute value is at the point is (6,2).
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2x-3=1
Need help please
Answer:
X = 1
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
To solve for x we should try to isolate the x by itself so :
Let's add 3 to both sides :
2x-3 + 3 = 1 + 3
-3+3 = 0
2x(+0) = 4
2x = 4
Divide both sides by 2 so we have just x on its own :
2x÷2 = 4÷2
x = 2
Let's check by putting this x value in the question :
2(2)-3 = 1
2(2) = 2×2 = 4
4 - 3 = 1
1 = 1
✅
So x = 2
Hope this helped and have a good day
PLEASE HELP plsssssss
HURRY ASAP!
What is six-eighths times five?
Your answer should be in mixed number form.
A. one and ten-thirtieths
B. three and six-eighths
C. six and four-sixths
D. nine and three-fifths
Answer:
B: [tex]3\frac{6}{8}[/tex]
Step-by-step explanation:
we multiply numerator by numerator and denominator by denominator
6/8x5/1
30/8
3 6/8
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Write an expression to represent:
4 times the difference of x and 2.
Answer:
4 times the difference of x and 2 is 4(x-2)
The hottest day recorded in
Oklahoma was 120° Fahrenheit. What
was the temperature of the hottest
day in Oklahoma in Celsius to the
nearest tenth of a degree?
F=9/5C+32
The temperature of the hottest day in Oklahoma in Celsius to the nearest tenth of a degree is 48.89 degrees.
What is meant by Fahrenheit?The process of converting a temperature value from one unit to another is known as temperature conversion. On scales like Kelvin, Celsius, Fahrenheit, etc., we measure temperature. The freezing point and boiling point of water, respectively, are 273.15K and 373.15K on the Kelvin scale. The freezing point and boiling point of water, respectively, are 32°F and 212°F on the Fahrenheit scale. The freezing point and boiling point of water, respectively, are 0°C and 100°C on the Celsius scale.
Given, The hottest day recorded in Oklahoma was 120° Fahrenheit
F=(9/5)C+32
120=(9/5)C+32
(9/5)C=88
C=48.89
Therefore, the temperature of the hottest day in Oklahoma in Celsius to the nearest tenth of a degree is 48.89 degrees.
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A basket contains 3 red apples and 4 yellow apples. A sample of 3 apples is drawn. Find the probability that 2
apples are yellow and 1 apple is red.
A.6/35
B.9/35
C.18/36
D.None of the above
The probability of getting 2 yellow apples and 1 red apple is 18/35 which is the D option.
This is a question of permutations and combinations.
Given that:-
Number of yellow apples = 4
Number of red apples = 2
We have to find the probability of getting 2 red apples and 1 yellow apple.
Number of ways of getting 2 yellow apples = [tex]^4C_2=6[/tex]
Number of ways of getting 1 red apple = [tex]^3C_1=3[/tex]
Total number of ways of finding 3 apples from 7 apples = [tex]^7C_3=35[/tex]
Hence,
Probability of getting 2 yellow apples and 1 red apple = 6*3/35 = 18/35.
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which are the solutions of x2= -5x +8
What’s is the equation of this line in slope intercept form? 2x+3y=-6
Answer:
[tex]y=-\frac{2}{3}x-2[/tex]
Step-by-step explanation:
To find the equation in slope-intercept form, isolate [tex]y[/tex].
[tex]2x+3y=-6 \\ \\ 3y=-2x-6 \\ \\ y=-\frac{2}{3}x-2[/tex]
The model shows that 3 1/5 divided by 4/5 = 4.
What happens if you divide by 8/5 instead of 4/5
The solution after divide by 8/5 instead of 4/5 will be 2.
What is mean by Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts.
Or, A number which is expressed as a quotient is called fraction.
It can be written as the form of p : q, which is equivalent to p / q.
Given that;
The model shows that 3 1/5 divided by 4/5 = 4.
Now,
Substitute 8/5 instead of 4/5, we get;
⇒ 3 1/5 ÷ 8/5
⇒ 16/5 ÷ 8/5
⇒ 16/5 × 5/8
⇒ 2
Thus, The solution after divide by 8/5 instead of 4/5 will be 2.
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Answer:
Step-by-step explanation:
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Maximum height of 32 feet after 1.25s
Step-by-step explanation:
Write your answers hhere
Answer:
Step-by-step explanation:
The answer is 6.
I got this by subtracting 23 by 12 (the number of numbers shown). Then I got 11. So I followed the pattern until I got six.
23-12=11
2,4,6,8,2,4,6,8,2,4,6,8,......2,4,6,8,2,4,6,8,2,4,6
In the graph below, find the coordinate of the image point. O is the origin and P is the point (4, 3). Ry and Rx are reflections around the x- and y- axes.
Complete the following:
HpHo : (3, 0) --- >
(3, 0)
(-5, -6)
(11, 6)
71.
For what values of x is the above
inequality true? -12>6x
A. x > -6
B. x < -6
C. x < -2
D. x > -2
at a certain high school, the distribution of backpack weight is approximately normal with a mean of 19.7 pounds and a standard deviation of 3.1 pounds. a random sample of 5 backpacks will be selected, and the weight, in pounds, of each backpack will be recorded. what is the probability that my next five samples will average 22 pounds?
For all samples of 5, there is a 0.05 probability that the sample mean would be higher than 22 pounds.
The assortment of bags weighs 19.7 pounds on average.
3.1 pounds is the standard deviation.
The sampling distribution theorem and the normal probability density function were both utilized.
The z-score formula is used to address problems involving samples with regularly distributed data.
Mean standard deviation, the z-score of a measure X is given by:
z = (x - μ) ÷ σ
The Z-score computes the number of standard deviations. The metric used is the average.
After calculating the Z-score, we look at the p-value associated with it in the z-score table.
This p-value represents the probability that the measure's value is smaller than X, or the percentage of X.
By taking away 1, we can determine the chance that the measure surpasses X.
If n is at least 30, the Central Limitation Theorem can also be applied to variables that are skewed.
No of the sample size, the sample mean will always be the same.
However, the standard error will change.
P(a > 22) denotes the likelihood that the sample means will be greater than 22.
The likelihood that they give it a chance will weigh more than 22 pounds is around 0.05 for all sampling of size 5.
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x + y = 5
–3x + 2y = 5
Help me, please!!!!!!!!!
Answer:
Step-by-step explanation:
firstv= block second one
secondblock third one
and so on
Having trouble solving this
Answer:
[tex]r = 2279.41[/tex]