Answer:
The 12th Term is 67.
Juan has 4 purple Gatorade, 5 clear Gatorade, and 11 red Gatorade. What is the
probability he will choose a red Gatorade?
nth term 12 10 8 6 4
Answer:
12-2(n-1).
Step-by-step explanation:
It can be written 12-2n+2=14-2n, so that when n=1, the 1st term is 14-2=12. The 5th term is 14-10=4; the 6th is 14-12=2.
Which graph represents a system of linear equations that has multiple common coordinate pairs?
sorry if the image is blurry
Answer:
Step-by-step explanation:
The fourth image because when looking for liner equations if you draw a line through them and it only touches once its linear equation!
sorry if im wrong...
KHAN ACADEMY TRANSFORMATIONS OF FUNCTIONS
Function F is graphed.
According to the graph, is F even, odd, or neither?
Answer:
wdym?
Step-by-step explanation:
Answer: odd
Step-by-step explanation: khan academy got it right
A triangle has two sides of 8 and 15. What is the largest possible whole number length for the third side?
Answer:
Largest possible value for the 3rd side can be 22.
Step-by-step explanation:
Property of sides of a triangle:
If two sides of a triangle are \(a\) and \(b\) long, then the length of third side \(c\) must be:
\((a+b) > c\)
i.e. the sum of two sides \(a\) and \(b\) must be greater than the third side \(c\).
So, to find the largest possible value:
\(a = 8\\b= 15\)
\(a+b=23\)
Largest possible value of \(c\) can be lesser than 23.
i.e. 22 can be the largest possible value of the third side.
Isabelle has a five-sided chicken coop in her yard. each side has an equal length. what is the total perimeter of the chicken coop if the length of one side is yards? recall that the perimeter is the sum of all sides of a shape or boundary. yards yards yards yards
The total perimeter of the chicken coop if the length of one side is 3√5 yards is; 15√5 yards.yards
How to calculate the total perimeter?We are told that Isabelle had a five sided chicken coop in her yard and that the length was equal in all the sides.
Now, we need to find the total perimeter of the chicken coop.
The length of one side of the coop from online sources is 3√5 yards.
Since the coop is 5 sided, it means that it is a pentagon and we know that;
Perimeter of a pentagon = 5a
Where a is length of one side of the pentagon. Thus;
Perimeter = 5 x 3√5
Perimeter = 15 √5 yards
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help me please!!!! asap Tia
Answer:
All of them should be marked sicne they are all less than 12.
Step-by-step explanation:
Answer:
m = 6, m = 1, m = 5, m = 7
Step-by-step explanation:
All the options are solutions of m < 12.
if you have $4 in quarter and dimes and 34 coins how many quarter and dimes are there
Valor absoluto de 0.001
The absolute value of 0.001 is 0.001. This means that regardless of the context in which 0.001 is used, its absolute value will always be 0.001, as it is already a positive number.
The absolute value of a number is the non-negative magnitude of that number, irrespective of its sign. In the case of 0.001, since it is a positive number, its absolute value will remain the same.
To understand why the absolute value of 0.001 is 0.001, let's delve into the concept further.
The absolute value function essentially removes the negative sign from negative numbers and leaves positive numbers unchanged. In other words, it measures the distance of a number from zero on the number line, regardless of its direction.
In the case of 0.001, it is a positive number that lies to the right of zero on the number line. It signifies a distance of 0.001 units from zero. As the absolute value function only considers the magnitude, without regard to the sign, the absolute value of 0.001 is 0.001 itself.
Therefore, the absolute value of 0.001 is 0.001. This means that regardless of the context in which 0.001 is used, its absolute value will always be 0.001, as it is already a positive number.
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Which of the following scenarios describes independent events from disjoint sets?1) A bag contains orange, yellow, and purple marbles. You randomly draw 2 marbles at the same time and want to know the probability that either marbleis orange.II) You roll a number cube and spin a spinner. You want to know the probability of rolling a 3 and spinning a B.ill) Lunch includes a choice of salad and a choice of vegetables. You want to know the probability of choosing a chef salad and asparagus as yourvegetableIV) A math class has 30 students. The teacher chooses 2 students at random. You want to know the probability that one of the two students will befemale
Independent events are not affected by previous events, that is, the probability of a new event doesn't change from the previous event. However, disjoint sets mean they don't have any data in common, which means the intersection of such sets is impossible. In other words, the events are exclusive, if one occurs, then the other can't occur.
Having said that, we can deduct that scenario 1 represents an independent exclusive event because the occurrence of one event excludes the other. The main reason is that there's just one orange marble.
Hence, the answer is I only.3. Which equation is a line that is perpendicular to the line with the equation: y =
4x + 5?
A. Y=3x + 10
B. Y=-3x +5
C. Y=1/4 + 5
D. Y=-1/4 + 10
Which of the following criteria are used when deciding upon the
inclusion of a variable? Check all that apply.
Group of answer choices
A-Theory
B-t-statistic
C-Bias
D-Adjusted R^2
the criteria used when deciding upon the inclusion of a variable are A - Theory, B - t-statistic, C - Bias, and D - Adjusted R^2.
When deciding upon the inclusion of a variable, the following criteria are commonly used:
A - Theory: Theoretical justification is often considered to include a variable in a model. It involves assessing whether the variable is relevant and aligns with the underlying theory or conceptual framework.
B - t-statistic: The t-statistic is used to determine the statistical significance of a variable. A variable with a significant t-statistic suggests that it has a meaningful relationship with the dependent variable and may be included in the model.
C - Bias: Bias refers to the presence of systematic errors in the estimation of model parameters. It is important to consider the potential bias introduced by including or excluding a variable and assess whether it aligns with the research objectives.
D - Adjusted R^2: Adjusted R^2 is a measure of the goodness of fit of a regression model. It considers the trade-off between the number of variables included and the overall fit of the model. Adjusted R^2 helps in assessing whether the inclusion of a variable improves the model's explanatory power.
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In the data set below, 74 is an outlier: 52, 55, 50, 49, 47, 53, 74
Yes, 74 is an outlier in the dataset
How to determine the outlierFrom the question, we have the following parameters that can be used in our computation:
52, 55, 50, 49, 47, 53, 74
In statistics, an outlier is a value that is far removed from other values in a dataset.
It is an observation that lies an abnormal distance from other values in a random sample from a population.
Using the above as a guide, we have the following:
72 is relatively far from other data elements
Hence, it is an outlier
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11. You have a bank account in which
your balance increases annually at a rate of 7.25%. If your initial
investment was $250, write an
equation that represents your
balance after x years.
Initial Value (a):
Rate (r):
Time (x):
Equation:
The equation that represents your balance after x years is: \(250 * (1.0725)^x\)
what is interest ?
To calculate simple interest, multiply the principal by the rate of interest rates, the duration, and several other variables. The marketing formula is simple returns = capital + interests + hours.
Initial Value (a): $250
Rate (r): 7.25% per year (or 0.0725 as a decimal)
Time (x): x years
The formula for calculating the balance after x years is:
\(Balance = a * (1 + r)^x\)
Plugging in the values, we get:
\(Balance = 250 * (1 + 0.0725)^x\)
So the equation that represents your balance after x years is:
\(Balance = 250 * (1.0725)^x\)
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united airlines flight 179 is a nonstop flight from boston to san francisco. during 2016 the mean length of time for all flights was 357.9 minutes and population standard deviation was 20.18 minutes. you want to construct a 95% confidence interval for the mean length of time of the flight in 2018 based on a sample of flights in 2018. what is the minimum size of the sample needed in order to have a margin of error of two minutes or less?
Using the concepts of statistics, we got that at least 79 is the minimum size of the sample needed in order to have a margin of error of two minutes or less, when we need to construct a 95% confidence interval for the mean length of time.
We have mean as 357.9minutes and standard deviation as 20.18 minutes.
To have the margin error 2 minutes or less than it we need to take
Z-score of the given sample distribution which is given by:
Z=(X-μ)/σ
The z-score measures how many standard deviations the measure is above or below the mean.Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation .Here ,μ=357.9,σ=20.18,X=?,Z=95/100
=>95/100=(X-357.9)/20.18
=> -0.95×20.18=X-357.9
=>X=-357.9+0.95×20.18
=>X=-357.9+19.171
>X=-338.729
When X=-338.729,the p score is around 79.
Hence, when I want to construct a 95% confidence interval for the mean length of time of the flight in 2018 based on a sample of flights in 2018., the minimum size of the sample needed in order to have a margin of error of two minutes or less is 79.
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Abram is an investor. The table summarizes Abram's trades in a year.
Price per Share
($)
90
70
50
75
Date
Details
starting value ($900)
bought stock
bought stock
1-1-16
3-11-16
5-10-16
12-30-16 sold stock
Number of Shares
10
5
15
30
Compute and compare Abram's fees to trade with Stocks & More and with Trading Station for the year.
Type the correct answer in each box. Use numerals instead of words.
Abram's total fees for the year if he trades with Stocks & More are $
deducting all fees, but before he pays taxes on his gain, is $
Abram's total fees for the year if he trades with Trading Station are $
deducting all fees, but before he pays taxes on his gain, is $
His final return for the year after
His final return for the year after
DIUTZEN
Sign out
Nov 8
5:32 O
Answer:
Okay so for the first box the answer is, 116.85.
The second box is, 2,133.15
For the third box, 141
And the fourth and final box is, 2,109
Step-by-step explanation:
I really hope this helps!!
For the linear regression y = ẞ1 + ẞ2x + e, assuming that the sum of squared errors (SSE) takes the following form:
SSE = 382 +681 +382 + 18ẞ1ẞ2
Derive the partial derivatives of SSE with respect to B1 and B2 and solve the optimal values of these parameters.
a. B₁ = B1
b. B₂ =
The optimal values of these parameters are:
a. β₁ = 0
b. β₂ = 0
The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:
SSE = 382 + 681 + 382 + 18β1β2
Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.
Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0
Now, we need to find the partial derivative of SSE with respect to β1.
∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0
Therefore, we obtain the optimal value of β2 as 0.
Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0
Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.
Thus, the optimal values of β1 and β2 are 0 and 0, respectively.
Therefore, the answers are: a. β₁ = 0 b. β₂ = 0
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still gonna cry leave step by step pls
Answer: 114
Step-by-step explanation: Because 48+18 = 66 and 180-66 is 114.
Answer:
C
Step-by-step explanation:
∠ BHC = ∠ FAB = 48° ( alternate angles )
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ ABC is an exterior angle of the triangle, thus
∠ ABC = ∠ BHC + ∠ ECB = 48° + 18° = 66° → C
Which of the following opitions have the same value as 5 percent of 35?
Answer:
1.75 is the same value as 5 percent of 35.Step-by-step explanation:
Even though there aren't any
options for what 5 percent of 35
is, I can find it out without multiple choice.
Answer = 1.75
Hope this helps! <3
Another way to say steeper
Please please please answer this if you do this i will give you brain list I’ll give a thank you and I’ll rate you five star. It’s due soon so pls answer FAST!!
Answer:
b) 30^2 + b^2 = 40^2
Step-by-step explanation:
This is cuz the diagonal is the hypotenuse of the diagonal formed so it'll be c^ 2
c ^ 2 always is on the right hand side of the equation.
In this case since 40^2 is c^2 is should be on the right side of the equation.
The Lewiston Company issues 23-year bonds, but it pays nocoupon. Calculate the price per $1,000 face value of thiszero-coupon bond using an interest rate of 6.7%. Answer to thenearest cent.
The price per $1,000 face value of the zero-coupon bond issued by the Lewiston Company is approximately $288.12.
To calculate the price of the zero-coupon bond, we can use the present value formula:
Price = Face Value / (1 + Interest Rate)^(Number of Years)
In this case, the face value is $1,000, the interest rate is 6.7%, and the number of years is 23.
Price = 1000 / (1 + 0.067)^23 = 1000 / 2.871 = $348.35
However, this value represents the future value of the bond. To determine the present value, we need to discount it to today's value. To do that, we can divide the future value by (1 + Interest Rate).
Present Value = Price / (1 + Interest Rate) = 348.35 / (1 + 0.067) = $288.12 (rounded to the nearest cent)
The price per $1,000 face value of the zero-coupon bond issued by the Lewiston Company, using an interest rate of 6.7%, is approximately $288.12. Zero-coupon bonds are sold at a discount to their face value because they do not pay any periodic interest payments. The price reflects the present value of the bond, taking into account the time value of money and the specified interest rate.
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HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
What is the coefficient of the third term in this expression?
–k2n+5mn3–9n3–m3n
Answer:
27
Step-by-step explanation:
9x3 is 27. Coefficient is the number in the term.
Please help! I need help.
Answer:
B. 38
Step-by-step explanation:
A triangle is equal to 180
To find the angle you need to substract the other angles from 180
180 - 73 = 107
107 - 69 = 38
The missing angle is 38 degrees
Hope this helps dude
Taylor has $150 to spend on small canvases and paints for her art classes. The art supply store sells a four-pack
of small canvases for $4.00 and paints for $6.25, including tax.
Which inequality represents this situation where is the number of four-packs of canvases and p is the number of
paints Taylor purchases?
O4c+ 6.25p < 150
O 40+ 6.25 > 150
O 6.25c+ 4p > 150
O 6.25c +4p < 150
Answer:A
Step-by-step explanation:
x=
y=
help me please!! thank u:))
\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)
\(\qquad \tt \rightarrow \: x= 13 \degree\)\(\qquad \tt \rightarrow \: y= 11 \degree\)
____________________________________
\( \large \tt Solution \: : \)
\(\qquad \tt \rightarrow \:( 3y + 5 + 52) + 90 = 180\)
[ Co - interior angles ]
\(\qquad \tt \rightarrow \: 3y + 57 + 90 = 180\)
\(\qquad \tt \rightarrow \: 3y + 147 = 180\)
\(\qquad \tt \rightarrow \: 3y = 180 - 147\)
\(\qquad \tt \rightarrow \: 3y = 33\)
\(\qquad \tt \rightarrow \: y = \cfrac{33}{3} \)
\(\qquad \tt \rightarrow \: y = 11 \degree\)
\( \large \tt \: For \: \: x : \)
\(\qquad \tt \rightarrow \: 4x= 52\)
[ Alternate interior angles ]
\(\qquad \tt \rightarrow \: x= \cfrac{ 52}{4}\)
\(\qquad \tt \rightarrow \: x= { 13}{} \degree\)
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Select the reason why these triangles are
similar. If they are not, select "Not similar."
A. SAS
C. Not similar
B. AA
D. SSS
109⁰
41°
30⁰
30°
The triangles are similar by the AA similarity criterion since they have two pairs of congruent angles (41° and 109°, and 30°). Therefore, the answer is B. AA.
What is triangle?A triangle is a polygon that has three sides, three vertices, and three angles. It is the simplest polygon in Euclidean geometry and one of the most studied shapes in mathematics. The sum of the three angles in a triangle is always 180 degrees, and the length of one side of a triangle is always less than the sum of the other two sides. There are many different types of triangles, including equilateral triangles (where all sides are equal), isosceles triangles (where two sides are equal), and scalene triangles (where no sides are equal). Triangles are used in many areas of mathematics and science, including trigonometry, geometry, and physics.
Here,
To determine whether the two triangles are similar using AA similarity, we need to compare the angles of both triangles.
Triangle 1 has angles 41°, 30°, and 109°.
Triangle 2 has angles 30°, 41°, and 109°.
We see that the two triangles have two pairs of congruent angles, namely 41° and 41°, and 109° and 109°. Therefore, the two triangles are similar by the AA similarity criterion.
Note that the order of the angles does not matter when comparing triangles for similarity.
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A line passes through the point (12,0) and is parallel to the line with the equation y = 1∕6x + 1. What's the equation of the line?
Answer:
y=1/6x-6
Step-by-step explanation:
The first step is to set up the equation. Since the lines are parallel the slopes will be the same.
Note: y=mx+b; m is the slope and b is the y-intercept
Since we know that the slopes are the same all we have to do is plug in (12,0) in the equation to find b (y-intercept),
0=1/6(12)+b
0=6+b
-6=b
Now that we know b all we have to do is put it in the formula y=mx+b
y=1/6x-6.
Answer:
y = (1/6)x - 2
Step-by-step explanation:
"Parallel" means "has the same slope as..." so the slope of the line you want is 1/6.
y = (1/6)x + b where b is the y-intercept (now, find it using the point (12, 0) ).
0 = (1/6)(12) + b
0 = 2 + b
b = -2
The equation is y = (1/6)x - 2
expand x^2 ( x - y)
pwease help me
Answer:
x³ - x²y
Step-by-step explanation:
x²(x - y) ← multiply each term in the parenthesis by x²
= x³ - x²y
The average final exam score for the statistics course is 77% and the standard deviation is 8%. A professor wants to see if the average exam score will be higher for students who are given colored pens on the first day of class. The final exam scores for the 17 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78 What can be concluded at the 0.05 level of significance
Answer:
There is not enough evidence to support the claim that average score for those given colored pen is greater than 77
Step-by-step explanation:
Given the data : 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78
Using calculator :
Sample mean, xbar = 79.06
Sample standard deviation = 9.85
Sample size, n = 17
H0 : μ = 77
H1 : μ > 77
The test statistic : (xbar - μ) ÷ (s / sqrt(n))
(79.06 - 77) ÷ (9.85 / sqrt(17))
2.06 ÷ (9.85 / sqrt(17))
= 0.8623
The Pvalue from Tscore :
Pvalue = 0.20063
Since pvaue is > α ; we fail to reject the null ` There is not enough evidence to support the claim that average score for those given colored pen is greater than 77