Answer:
x+8/x^2 * 2x^2/2x+16
Step-by-step explanation:
What is another way to write 15.128?
Answer:
\(\frac{1891}{125}\)
Step-by-step explanation:
You can take any number, such as 15.128, and write a 1 as the denominator to make it a fraction and keep the same value,
15.128 / 1
we count the numbers after the decimal in 15.128, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers,
Therefore, we multiply the numerator and denominator by 1000 to get the following fraction:
15128 / 1000
Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.
The GCD of 15128 and 1000 is 8. When we divide the numerator and denominator by 8, we get the following:
\(\frac{1891}{125}\)
Please help asap I need help 25 points
i will first find the number that if u multiply 3 times u get 216
which is
6
so
rewrite it as (- 1/6)^3
and we pull this together it becomes - 1/6
-
−0.16
there is a bar (-) on top of 6
8(3x-4)=15x+40
24x-32=15x+40
?
9x=72
x=8
What’s the next step after 24x-32=15x+40
These points are linear.
Find the slope.
x 0 1 2 3 4 5
y 02 4 6 8 10
slope = [?]
Answer:
2.
Step-by-step explanation:
Slope = rise / run
Slope = y2-y1 / x2-x1
= (4-2) / (2 -1) = 2.
also 10-8 / 5-4 = 2.
a tv show had 4,320,000 viewers for its season premiere. express this number using scientific notation.
Answer:
Step-by-step explanation:
See attachment
If an analysis of variance is used for the following data, what would be the effect of changing the value of SS2 to 100? Sample Data M1 15 M2 25 SS1-90 SS2 70 a. Decrease SSwithin and decrease the size of the F-ratio b. Decrease SSwithin and increase the size of the F-ratio c. Increase SSwithin and increase the size of the F-ratio d. increase SSwithin and decrease the size of the F-ratio
Changing the value of SS2 to 100 would increase SSwithin and decrease the size of the F-ratio. Therefore, the correct answer is (d) increase SSwithin and decrease the size of the F-ratio.
If an analysis of variance (ANOVA) is used for the given data, and the value of SS2 is changed to 100, the effect would be to increase SSwithin and decrease the size of the F-ratio.
To explain this, let's first understand the terms involved:
- M1 and M2: Means of the two samples
- SS1 and SS2: Sum of Squares within each sample
- SSwithin: Total Sum of Squares within both samples
- F-ratio: The ratio used in ANOVA to compare variances between and within samples
Initially, we have the following values:
M1 = 15, M2 = 25, SS1 = 90, SS2 = 70
Now, let's change the value of SS2 to 100 and examine the effects.
Calculate the initial SSwithin:
SSwithin = SS1 + SS2
SSwithin = 90 + 70
SSwithin = 160
Calculate the new SSwithin after changing the value of SS2:
New SSwithin = SS1 + New SS2
New SSwithin = 90 + 100
New SSwithin = 190
The new SSwithin has increased after changing the value of SS2 to 100.
The F-ratio is calculated using the following formula:
F-ratio = MSbetween / MSwithin
Where MSbetween represents the variance between the samples and MSwithin represents the variance within the samples. Since SSwithin has increased, MSwithin will also increase, which results in a decrease in the F-ratio.
In conclusion, changing the value of SS2 to 100 would increase SSwithin and decrease the size of the F-ratio. Therefore, the correct answer is (d) increase SSwithin and decrease the size of the F-ratio.
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Jerry and Katy ask students how far they live from school. The graphs show the data
each person has collected.
Distance from School - Jerry's Study
0 1 2 3 4 5 6 7 8 10 11
Number of miles
Number of students
Distance from School - Katy's Study
2109876543210
0-2 3-5 6-8 9-11.
Number of miles
Answer the questions to compare the data they collected.
1. How many students are there in Jerry's study? (3 points)
The number of students in Jerry's study is 13.
The number of students in Katy's study is 39.
What is a histogram?A histogram is a representation of the distribution of data with intervals.
We have,
Jerry's study is given in a line plot graph.
The line plot has 13 dots on the plot graph.
This means,
There are 13 students.
Katy's study is given in a histogram graph.
The histogram shows that,
There are 9 students with (0-2) miles.
There are 11 students with (3-5) miles.
There are 7 students with (6-8) miles.
There are 12 students with (9-11) miles.
So,
There are (9 + 11 + 7 + 12) = 39 students.
Thus,
There are 13 students in Jerry's study.
There are 39 students in Katy's study.
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If three standard, six-faced dice are rolled, what is the probability that the sum of the three numbers rolled is 9
When three standard six-faced dice are rolled, the probability that the sum of the three numbers rolled is 9 is equal to 10/216 or 5/108.
Total number of ways three dice can be rolled = 6 × 6 × 6 = 216.
Each dice can have any number from 1 to 6. The probability of rolling a particular number on a dice = 1/6.
The probability of rolling a particular number on three dice = (1/6) × (1/6) × (1/6) = 1/216.
In order to get a sum of 9, there are four combinations that can be rolled:
3 + 3 + 3 = 9
3 + 4 + 2 = 9
3 + 5 + 1 = 9
4 + 3 + 2 = 9
The probability of rolling any of these combinations = probability of rolling 3-3-3 + probability of rolling 3-4-2 + probability of rolling 3-5-1 + probability of rolling 4-3-2
= (1/216) + (3/216) + (3/216) + (3/216)
= 10/216 or 5/108.
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k^2 - 196 = 0
.....................................................
Answer:
Step-by-step explanation:
Add 196 to both sides, then take the square root
\(k^2=196\\\)
k = ±14
An earthquake near the Fiji Islands measured 4.6 on the Richter scale. Use the formula R = log() to determine
approximately how many times stronger the wave amplitude A of the earthquake was than Ao.
OA 39, 811 Ao
O A≈ 99.5A0
O A 183, 129 Ao
O A≈ 0.66A0
The correct option regarding how many times stronger the wave amplitude A of the earthquake was than the standard wave Ao is given by:
A = 39,811 Ao.
How to obtain the ratio of A and Ao?To find the ratio of A and Ao, which states how many times a earthquake measuring R in the Richter scale was stronger than the standard intensity Ao, we have to solve the following logarithmic function:
R = log(A/Ao)
The Richter scale of the earthquake in this problem is given as follows:
R = 4.6.
Hence the ratio of the measures is obtained as follows:
4.6 = log(A/Ao)
The power of 10 is the inverse function of the logarithm, hence if it is applied to both sides of the equation, then we can isolate the ratio A/Ao as follows:
A/Ao = 10^4.6
A/Ao = 39,811.
Applying cross multiplication, the ratio is given as follows:
A = 39,811 Ao.
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Draw the image 1/2 turn counter clockwise. (Please Help Me at this question will give uh brainliest)!!!
Answer:
Step-by-step explanation:
Without the picture of the arrow I can't give an accurate answer. But, I'll try.
If the arrow is pointing like this -----> half turn counter clockwise should be with it pointing up.
If the arrow is pointing up, it should look like this <-----.
Do you get the idea?
The number of minutes, m, that it takes to
print a batch of newspapers is inversely
proportional to the number of printers used,
n.
The equation of proportionality is m =
100
n
Calculate how long it will take to print a
batch of newspapers if 20 printers are
used.
If your answer is a decimal, give it to 1 d. p.
It will take 5 minutes to print a batch of newspapers if 20 printers are used.
What is proportionality?
Proportionality is a mathematical relationship between two variables, where one variable is a constant multiple of the other. In other words, two quantities are proportional if they maintain a constant ratio to each other, meaning that as one quantity increases or decreases, the other quantity changes in the same proportion.
We are given that the time it takes to print a batch of newspapers, m, is inversely proportional to the number of printers used, n, and the equation of proportionality is:
m = k/n
where k is a constant of proportionality. We are also given that when k = 100, the equation is satisfied. So we can substitute k = 100 into the equation to get:
m = 100/n
To find the time it will take to print a batch of newspapers if 20 printers are used, we can substitute n = 20 into the equation:
m = 100/20 = 5
So it will take 5 minutes to print a batch of newspapers if 20 printers are used. Rounded to 1 decimal place, the answer is 5.0 minutes.
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Help plz and thanks you for helping me
Answer:
12.5
Step-by-step explanation:
x= 5 when y = 12
y = 30 = 12 x 2.5 (do the same to the other number)
5 x 2.5 = 12.5
Ace C.a.r.l.o.s.
If <1 is 108 degrees how many degrees is
Answer:
6 and 8
Step-by-step explanation:
Phil and Stacy create repeating patterns using shapes. Phil's rule is "oval, square," and Stacy's rule is "oval, square, circle, oval." If they both have 96 shapes in their pattern, which pattern has more ovals?
Using proportions, it is found that both patterns have the same number of ovals.
This question is solved by proportions, using rule of three.For Phil:
There are 96 shapes.1 of each two shapes is oval, hence:1 oval - 2 shapes
x oval - 96 shapes
Applying cross multiplication:
\(2x = 96\)
\(x = \frac{96}{2}\)
\(x = 48\)
For Stacy:
There are 96 shapes.2 of each two shapes are oval, hence:2 oval - 4 shapes
x oval - 96 shapes
Applying cross multiplication:
\(4x = 192\)
\(x = \frac{192}{4}\)
\(x = 48\)
Both patterns have the same number of ovals.
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16. James is making some trail mix. He needs 4 ounces of peanuts for every 7 ounces of M&M's.
How many cups of peanuts will he need if he has 84 ounces of M&M's?
Answer:
48
Step-by-step explanation:
84/7 = 12
12*4 = 48
The median of a quanitive data set is always one of the infiviual data values. True or false
The given statement "The median of a quantitative data set is always one of the individual data values" is false.
What is a median?When a given data set is arranged in ascending order the observation which at the between of the data is the median of that data set. It is a value in the set whose left and right both have the same number of observations.
The given statement is not true, this is because the median is the mid-value of any data set.
If the number of data observations is odd then the median of a quantitative data set is always one of the individual data values.But if the number of data observations is even then the median is the average of the two numbers present in between the data observations.Hence, the given statement "The median of a quantitative data set is always one of the individual data values" is false.
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Cho tam giác ABC có AB =4cm ,AC=5cm,BC=6cm.Trên tia đối của tia AB lấy điểm D sao cho AD=5cm a) chứng minh : tam giác ABC đồng dạng với tam giác CBD b) tính CD
Answer:
meta beta
Step-by-step explanation:
diem ryugudnhkng.
I need to know how to work out 5/6out of 360
The work of 5/6 more than 360 is equal to 660.
To calculate what 5/6 is out of 360, you can use the following steps:
Divide 360 by 6 (the denominator of the fraction) to determine the value of 1/6.
360 / 6 = 60 Multiply the value of 1/6 by the numerator (5) to find the value of 5/6.
60 * 5 = 300
Step 1: Calculate 5/6 of 360.
To find 5/6 of a number, you multiply that number by the fraction 5/6. In this case, we want to find 5/6 of 360. To do that, we multiply 360 by 5/6:
(5/6) * 360 = (5 * 360) / 6 = 1800 / 6 = 300
So, 5/6 of 360 is equal to 300.
Step 2: Add the result to 360.
To find 5/6 more than 360, we take the result from Step 1, which is 300, and add it to 360:
300 + 360 = 660
Therefore, 5/6 more than 360 is equal to 660.
In summary, by calculating 5/6 of 360, we found that it is 300. Adding 300 to 360 gives us the final result of 660, which represents 5/6 more than 360.
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What is the first step to solve this equation:
\(11 - 3x = 44\)
A. Divide 3 on both sides.
B. Add 11 to both sides.
C. Add 3 to both sides
D. Subtract 11 from both sides.
Answer:
How are you doing today
what is the y-value
y = 6x – 3
x+2y = 7
Answer:
i love algebra anyways
the ans is in the picture and the steps how got it
(hope it helps can i plz have brainlist it will make my day :D hehe)
Step-by-step explanation:
Suppose that X1, . . . , X20 are independent and identically distributed random variables with pdf
f(x) = 2x, 0 ≤ x ≤ 1.
Let S = X1 + · · · + X20. Use Central Limit Theorem to approximate P(S ≤ 10)
Using the Central Limit Theorem, we can approximate the probability of the sum of 20 independent and identically distributed random variables, each with a probability density function (pdf) of f(x) = 2x, being less than or equal to 10.
The Central Limit Theorem states that when independent random variables are added, their sum tends towards a normal distribution regardless of the shape of the individual distributions, provided the sample size is sufficiently large. In this case, we have 20 independent random variables.
To apply the Central Limit Theorem, we need to calculate the mean and variance of the distribution. The mean of each X variable is given by E(X) = ∫x * f(x) dx, which in this case is ∫2x^2 dx = 2/3. The variance is given by Var(X) = ∫x^2 * f(x) dx - (E(X))^2, which becomes 1/18.
Using the properties of means and variances, the mean of the sum S is 20 * (2/3) = 40/3, and the variance of the sum is 20 * (1/18) = 20/18 = 10/9.
Now, we can standardize the sum using the mean and variance to approximate the probability. Z = (S - E(S))/√Var(S), where E(S) = 40/3 and Var(S) = 10/9. We want to find P(S ≤ 10), which is equivalent to P(Z ≤ (10 - E(S))/√Var(S)). Substituting the values, we find P(Z ≤ (10 - 40/3)/(√(10/9))). We can then use standard normal distribution tables or calculators to find the probability.
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Given: BD ⊥ BC ; ∠ABD ≅ ∠DBE
Prove: ∠ABD and ∠EBC are complementary
Statement in step 8 is the proof that <ABD and <EBC are complementary angles.
What are a complementary angles?An angle in mathematics refers to an arc that joins two points. For angles to be formed there should be two points, the starting point and the ending point. In some cases the starting point coincides with the ending point, in this case the angle formed is 360 degrees which is equivalent to a circle. We can hence say that angle in a circle is 360 degrees
When angles are formed by two points in the same straight line or say two colinear points the angle formed here is 180 degree. Hence we say angles in a straight line is 180 degrees. In a case where a line intersects the straight line, the intersecting line bisects the the angle in a straight line. The sum of the two angles formed is 180 degrees. Such angles are said to be supplementary angles.
Assuming the bisector of the straight line in a perpendicular bisector, here the angle 180 is divided into two equal parts then each angle is 90 degrees.
When angle 90 degrees is bisected two different angles are formed. The sum of these two angles are known as complementary angles.
Hence angle <ABD and <EBC are complementary angles formed from bisecting angle <DBC which is 90 degrees or a right angle triangle
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which of the following is not measured and described by a correlation? a. the direction of a relationship b. the form of a relationship c. the strength of a relationship d. the mean difference of a relationship
The answer is d. the mean difference of a relationship is not measured and described by a correlation.
Correlation is a statistical technique used to measure the degree of association between two variables. It is used to describe the direction, form, and strength of the relationship between the variables. The direction of a relationship can be positive or negative, depending on whether the variables move in the same or opposite direction. The form of a relationship can be linear or nonlinear, depending on whether the relationship is a straight line or a curve. The strength of a relationship can be weak or strong, depending on how closely the variables are related to each other. However, correlation does not measure the mean difference of a relationship, which is a measure of central tendency that describes the average difference between two groups or variables.
In summary, correlation measures the direction, form, and strength of a relationship between two variables. It does not measure the mean difference of a relationship, which is a measure of central tendency. Correlation is a useful tool in understanding the relationship between variables, but it should be used in conjunction with other statistical techniques to provide a comprehensive understanding of the data.
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Consider what you know about the sampling distribution of the sample proportion. This sampling distribution will become more variable as the sample size increases. O will be Normal in shape only if the sample size is at least 100. O will have a center equal to the population proportion, or p
O has a shape that is skewed to the right, regardless of sample size. O is a collection of the parameters of all possible samples of a particular size taken from a particular populatio
As per the sampling technique, Let us consider what you know about the sampling distribution of the sample proportion. this sampling distribution will have a center equal to the population proportion, or p.
Here we have to find what you know about the sampling distribution of the sample proportion. This sampling distribution will become more variable as the sample size increases.
Here for the given question, let us check all the given statements in the options
Here we know that the shape is approximately normal. Then the given option will be false.
Next, it is collection of all samples taken from the population, So the given option will be false
Now, we have to check as the sample size increases, the value of n increases. here n is the value on the denominator of the equation of standard deviation.
Therefore, due to an increase in the value of n, then there will be decreases in the standard deviation.
Then the less standard deviation means a small variance.
Therefore, as a result, as the sample size grows, the variation will be minimal.
So, the center is the same as the sample proportion p.
Therefore, this is correct.
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I need help solving the value for x and y
Answer:
Step-by-step explanation:
Jill is making a long cape she needs 4 1/3 yards of blue fabric for the outside of the key she needs 3 2/3 yards of purple fabric for the lining the Cape
A) Notice that the two mixed fractions are equivalent to
\(\begin{gathered} 4\frac{1}{3}=4+\frac{1}{3} \\ \text{and} \\ 3\frac{2}{3}=3+\frac{2}{3} \end{gathered}\)Jill transformed 4 into 12/3 and 3 into 9/3, and then she subtracted the second quantity from the first one. She forgot about the 1/3 and 2/3.
B) The correct calculation is
\(\begin{gathered} 4\frac{1}{3}-3\frac{2}{3}=(4+\frac{1}{3})-(3+\frac{2}{3})=4+\frac{1}{3}-3-\frac{2}{3}=(4-3)+(\frac{1}{3}-\frac{2}{3})=1+(-\frac{1}{3})=\frac{2}{3} \\ \Rightarrow4\frac{1}{3}-3\frac{2}{3}=\frac{2}{3} \end{gathered}\)The answer to part B) is 2/3
Ed buys a box of eggs costing £2.10, two packs of bacon for £2.90 each and two tins of baked beans. He pays with a £10 note and gets 60p change. How much does a tin of beans cost in pounds, £?
Answer:
£0.75
Step-by-step explanation:
Add 2.10
Do 2.90 * 2
add 2.10 and 5.80
subtract the sum from 9.4
divide by 2
Cassidy places 40 stamps on each of 8 album pages. How many stamps does she have?
Answer: 320 stamps
Step-by-step explanation: Each page has 40 stamps. But since she has 8 pages in total each page holds 40 stamps alone. So 8 (pages) x 40 (stamps) = 320 stamps (in total).
Answer:
320
Step-by-step explanation:
1 album page = 40 stamps
8 album pages = 320 stamps
40(8) = 320 stamps
round 75.0794 to 2 decimal places
Answer:
75.08
Step-by-step explanation:
Focus on the 2nd digit to the right of the decimal point (it is 7). The next digit is 9. Because of this (nex digit 5 or greater), we round the 7 up to 8 and obtain the answer
75.08