Answer:
x = 1/3
Step-by-step explanation:
Move all terms containing x to the left side of the equation.
8+6x=10
Move all terms not containing x to the right side of the equation
6x=2
Divide each term by 6 and simplify.
Exact Form:
x=1/3
Decimal Form:
x=0.3333333333
Hope this helps!
help please!!!!!!!!.
Answer:
3
Step-by-step explanation:
You want the middle term of the geometric sequence 6, __, 3/2.
Middle termThe first term of this sequence is a1. With common ratio r, the first three terms are ...
a1a1·ra1·r²If we multiply the first and third terms, we get ...
(a1)(a1·r²) = (a1)²·r² = (a1·r)² . . . . . the square of the middle term
Then the middle term is ...
a1·r = √(6·3/2) = √(18/2) = √9 = 3
The middle term of the sequence is 3.
__
Additional comment
That lets us see that the common ratio is r = 3/6 = 1/2.
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WILL MARK BRAINLIEST !!!
Two parallel lines are cut by a transversal.
1/2
3/4
5/6
7/8
If the measure of 2 is 75°, what is the measure of 5?
A.) 180°
B.) 75°
C.) 105°
D.) 90°
Answer:
C.) 105°
Step-by-step explanation:
We can see that angles 2 and 6 are corresponding angles, which means they are congruent and equal. We also know that a is straight line, which means angles 5 and 6 are supplementary and must equal 180°.
Thus, since <6 = 75°, we simply subtract this from 180 to find the measure of <5:
180 - 75 = 105° = m <2
Determine the mean and standard deviation of the variable X in each of the following binomial distributions. a. n=5 and π=0.10 b. n=3 and π=0.40 c. n=5 and r=0.50 d. n=3 and π=0.80 a. When n=5 and π=0.10, determine the mean. μ= (Type an integer or a decimal. Do not round.)
The mean (μ) for the given binomial distribution is 0.50.
To calculate the mean (μ) of a binomial distribution, we multiply the number of trials (n) by the probability of success in a single trial (π). Let's examine each scenario in detail:
a. When n = 5 and π = 0.10:
μ = 5 * 0.10
= 0.50
For this binomial distribution, with 5 trials and a success probability of 0.10, the mean (μ) is 0.50. This means that, on average, we would expect to have 0.50 successes per trial.
b. When n = 3 and π = 0.40:
μ = 3 * 0.40
= 1.20
In this case, the mean (μ) of the binomial distribution is 1.20. It indicates that, on average, there would be 1.20 successes per trial when there are 3 trials and a success probability of 0.40.
c. When n = 5 and π = 0.50:
μ = 5 * 0.50
= 2.50
For a binomial distribution with 5 trials and a success probability of 0.50, the mean (μ) is 2.50. This means that, on average, we would expect to have 2.50 successes per trial.
d. When n = 3 and π = 0.80:
μ = 3 * 0.80
= 2.40
In this scenario, the mean (μ) of the binomial distribution is 2.40. It suggests that, on average, we would expect to have 2.40 successes per trial when there are 3 trials and a success probability of 0.80.
The mean (μ) provides a measure of the central tendency or the average number of successes in a binomial distribution based on the given parameters.
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The following table shows the breakdown of opinions for both faculty and students in a recent survey about the new restructuring of the campus to include an honors college. find the probability that a randomly selected person is either in favor of or opposed to the restructuring. express your answer as a fraction.
Given:
The number of people are in the favor of restructuring is 50.
The number of people are in the oppose of restructuring is 82 .
The total number of persons is 182.
The probability of persons is in the favor of restructuring is,
\(\begin{gathered} \text{Probability}=\frac{Desired\text{ outcomes}}{t\text{otal outcomes}} \\ P_F=\frac{50}{182} \end{gathered}\)The probability of persons is in the oppose of restructuring is,
\(P_O=\frac{82}{182}\)To find the probability that a randomly selected person is either in favor of or opposed to the restructuring,
\(\begin{gathered} P(\text{Favor or oppose)=}P_F+P_O \\ =\frac{50}{182}+\frac{82}{182} \\ =\frac{50+82}{182} \\ =\frac{132}{182} \\ =\: \frac{66}{91} \end{gathered}\)Answer:
\(P=\frac{66}{91}\)what is negative z score table
A table used to find the area under the standard normal distribution to determine the probability of a z-score being less than a given value.
A negative z-score table is a tool used in statistics to find the probability of a z-score being less than a certain value. A z-score is a measure of the number of standard deviations an observation or data point is above or below the mean of a dataset.
The standard normal distribution is a bell curve with a mean of zero and a standard deviation of one. The negative z-score table lists the area under the curve to the left of a negative z-score, which can be used to calculate probabilities. The table is used by finding the corresponding row and column for the desired z-score and reading the probability from the table.
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Find the height of a cone with a volume of 2058 pi cubic feet and a radius of 21 feet.
The height of the cone is 14 feet.
The formula for the volume of a cone is given by:
\(V = (1/3) \times \pi \times r^2 \times h\)
where V is the volume of the cone, r is the radius of the base of the cone, and h is the height of the cone.
In this case, the volume of the cone is given as 2058 π cubic feet and the radius of the base is 21 feet. Substituting these values into the formula, we get:
2058 π = (1/3) × π × (21 feet\()^2\) × h
Simplifying and solving for h, we get:
h = (2058 π × 3) / (π × \(21^2\))
= 294 / 21
= 14 feet
Therefore, the height of the cone is 14 feet.
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The monsoon forests, from Myanmar to Indochina and the Philippines, have extensive areas of forest dominated by ___________________
The monsoon forests, from Myanmar to Indochina and the Philippines, have extensive areas of forest dominated by deciduous and broad-leaved trees is the answer.
Deciduous trees lose their leaves seasonally and are common in areas with distinct seasons. The forests in this region are sometimes referred to as "dry forests" or "tropical deciduous forests. "The Broad-leaved trees are also common in monsoon forests. These trees have large leaves and can be evergreen or deciduous. They typically grow in warm, moist environments and can be found throughout the world in tropical and subtropical regions. These trees provide important habitat for a variety of species, including birds, mammals, and insects. In addition to deciduous and broad-leaved trees, monsoon forests may also contain other types of vegetation, such as bamboo and grasses. These forests are important ecosystems that provide many benefits to the surrounding communities, including timber and other forest products, water regulation, soil conservation, and biodiversity conservation.
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identify a true statement about contextual interference. multiple choice question. it refers to the harmony between memory and performance. it leads to the variable practice schedule problem. it is high if a practice schedule involves a random arrangement of trials. it is low if a practice schedule organizes each task variation in various blocks of time.
A true statement about contextual interference is: it is high if a practice schedule involves a random arrangement of trials.
Contextual interference is a phenomenon in motor learning where practicing multiple variations of a task in a random or mixed order results in interference or disruption during learning. The interference caused by practicing in a mixed order appears to be counterintuitive, as it creates a challenge for the learner to constantly switch between different task variations. However, this interference has been shown to lead to better long-term retention of the learned skill.
The reason why contextual interference works is related to the way our brains process and consolidate information. When we practice a motor skill in a blocked or consistent order, our brains can quickly and easily memorize the movements required for that skill. However, this type of learning tends to be shallow, and the skill is not retained as well over time. In contrast, when we practice a skill in a random or mixed order, our brains have to work harder to distinguish between the different variations of the task. This additional processing load strengthens the neural connections underlying the skill, leading to more durable and flexible memory representations.
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what statement best describes the function below f(x)=x3-x2-9x+9
Answer:
It is a many-to-one function.
Step-by-step explanation:
Pleaseeeeeee help meeeee
Answer:
82
Step-by-step explanation:
Add all the numbers up then divide by the amount of numbers (10)
Answer:
C. 82
Step-by-step explanation:
Mean is the average of the number set
So,
82 + 91 + 89 + 78 + 81 + 88 + 75 + 85 + 77 + 74 =
820
820 / 10 =
82
Joe paid 14.00 for a board game this is 70 of the original price what was the original price
Answer:4.2
Step-by-step explanation:
14 times 70% subtracted from 4.2
The original price or cost price of a board game is 20.
What is cost price?The cost price is the price at which "goods are bought by merchant or retailer".
According to the question,
Joe paid 14.00 for a board game which is 70% of the original price or cost price.
In order to find cost price or original price. Let 'x' be the original price or cost price
70% = 14
100% = x
x = \(\frac{1400}{70}\) [cross multiplication]
=20
Hence, the original price or cost price of a board game is 20.
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y
y
A"
B"
4
2
What steps would you take to determine if these
figures are similar? Check all that apply:
Use a scale factor of 2
Multiply the vertices of polygon ABCD by <
Translate the intermediate image 4 units down
Perform two different dilations
Reflect the intermediate image
D"
C"
X
2
-2
D
с
A
B
Answer:
Reflect the intermediate image.
Multiply the vertices of polygon ABCD by One-half.
The Blue whale presently the largest mammal is about to 2.27 times more than the largest dinosaur. Blue whales weigh about 1.362 x 10 to the fifth power kilograms. Using scientific notation, about how much did the largest dinosaur weigh?
Answer: 60,004.41 kilograms
Step-by-step explanation:
Given: Weight of Blue whales = \(1.362 \times 10^5\) kilograms
= \(1.3621\times 100000=136210\)
Weight of blue whale = 2.27 x (weight of largest dinosaur )
\(136210=2.27\times \text{(weight of largest dinosaur)}\\\\\Rightarrow\ \text{(weight of largest dinosaur)} =\dfrac{136210}{2.27}\\\\\Rightarrow\ \text{(weight of largest dinosaur)}=60004.41\)
Hence, The weight of largest dinosaur = 60,004.41 kilograms
which of the following assumptions for a two-way anova is false? the samples must be dependent. the groups must have the same sample size. the sample populations must be normally or approximately normally distributed. the variances of the populations must be equal.
The samples must be dependent is the false assumptions all other assumptions about the two-way ANOVA is correct. Option A is the correct answer.
According to the levels of two categorical variables how the mean of quantitative variables changes is estimated by A two-way ANOVA. When you want to know how two independent variables, in combination, affect a dependent variable we can use a two-way ANOVA.
The samples must be dependent is the false assumption because samples are supposed to be independent, not dependent multicollinearity is minimized. the assumption of the two-way ANOVA is the Independence of variables, Homoscedasticity, and Normal distribution of variables.
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Hafida needs 40g of sugar to make 12 biscuits.
She also needs
three times as much flour as sugar
two times as much butter as sugar
Hafida is going to make 60 biscuits.
a) Work out the amount of flour she needs.
Optional working
+
Hafida has to buy all the butter she needs to make 60 biscuits.
She buys the butter in 150g packs.
b) (i) What is the exact amount of butter she needs?
(ii) How many packs of butter will she have to buy?
Answer:
g
8:
packs
g
Step-by-step explanation:
a) To find out how much flour Hafida needs, we first need to calculate the amount of sugar needed for 60 biscuits. Since she needs 40g of sugar for 12 biscuits, she will need:
40g sugar / 12 biscuits x 60 biscuits = 200g sugar
Now, we know that Hafida needs three times as much flour as sugar. So, she will need:
200g sugar x 3 = 600g flour
Therefore, Hafida needs 600g of flour to make 60 biscuits.
b) (i) Hafida needs two times as much butter as sugar, and we already know that she needs 200g of sugar. So, she will need:
200g sugar x 2 = 400g butter
(ii) Hafida needs 400g of butter, and she can buy butter in 150g packs. To find out how many packs she needs to buy, we can divide the total amount of butter needed by the amount of butter in each pack:
400g butter / 150g per pack ≈ 2.67 packs
Since she cannot buy a fraction of a pack, Hafida will need to buy 3 packs of butter.
Therefore, Hafida needs 400g of butter and she will have to buy 3 packs of butter.
Find the greatest common factor of 21 and 10.
Answer:
GCF of 10 and 21 is 1.2.
Step-by-step explanation:
I hope it's helpful!
Simplify this expression.
8(h-4)-h-(h+7)
Solve step-by-step
Answer:
6h - 39 or 3(2h - 13)
Step-by-step explanation:
Distribute the terms in the parentheses.
8(h - 4) - h - (h + 7)8h - 32 - h - h - 7Combine like terms
8h - h - h - 32 - 76h - 393(2h - 13) [by grouping]8 (h - 4) - h - (h + 7)
8h - 32 - h - h - 7
6h - 39
3 (2h - 13)
The product of b and 3 is greater than or equal to -30.
Answer:
greater than
Step-by-step explanation:
positive is higher than negative
The table below shows a relationship between x and y that is not a function:
PLS HELP
Answer:
X 11 Y 11
Step-by-step explanation:
the last one need to be removed
Una mamá tiene el cuádruplo de la edad de su hijo, y dentro de 5 años, tendrá el triple de años que el. Indica que edad tienen ambos.
Answer:
The son age is 10 years
And, his mother age be 40 years
Step-by-step explanation:
Given that
The mother is four times the age of her son
And, in 5 years, she will be three times as old as him
We need to find out the ages of both
Here we assume that the age of her son be x
So the mother age be 4x
Now in 5 years, her mother would be 3 times as old as his son
So,
4x + 5 = 3(x + 5)
4x + 5 = 3x + 15
x = 10
The son age is 10 years
And, his mother age be 40 years
Question 4 of 32 Jacob is a construction worker who earns a yearly income given by the expression 2000x + 3000, where x is the number of hours he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3800x – 40000. A manager predicts that if Carlos and Jacob each work 35 hours, they will earn the same amount of money.
PART A:The number of hours that makes the equation true is
Options: 24, 27, 29,31,34
PART B:Round your answer to the nearest whole number. The manager's prediction is
Options: equal to, less than, greater than
the actual number of hours that Carlos and Jacob need to work to earn the same amount of money.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the expression :
Jacob's yearly income :
2000x + 3000 ; x = number of hours worked per week.
Carlos income :
3800x - 40000
Managers prediction = 35
Jacob.: 2000(35) + 3000 = 73000
Carlos : 3800(35) - 40000 = 93000
Carlos will earn more than Jacob given the manager's prediction.
Number of hours required so they can earn the same amount :
2000x + 3000 = 3800x - 40000
3000 + 40000 = 3800x - 2000x
43000 = 1800x
x = 43000/1800
x = 23.88
x = 24 hours
The perimeter of an isosceles triangle is 36 centimeters and two sides of the triangle are in the ratio $2:5.$ What is the number of centimeters in the length of the longest side
since isosceles has 2 equal sides we can add two to the shorter side
so now we multiply by 4
8 for short sides each
20 for long side
The longest side of the isosceles triangle is 20 units.
An isosceles triangle in geometry is a triangle with two equal-length sides. It can be specified as having exactly two equal-length sides or at least two equal-length sides, with the latter definition including the equilateral triangle as an exception.
Given that the perimeter of an isosceles triangle is 36 centimetres and two sides of the triangle are in the ratio $2:5.$.
The length of the longest side will be calculated as;-
2S + B = 36
S / B = 2 / 5
S = ( 2B ) / 5
2 x ( 2B ) / 5 + B = 36
4B + 5B = 180
9B = 180
B = 20 units
The measure of the other side is,
S = 2B / 5
S = ( 2 x 20 ) / 5 = 8 units
Hence, the length of the longest side is 20 units.
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1 point) find the values of for which the series converges.
[infinity]
∑ in n/n^2p
n=1
answer (in interval notation):
The series ∑(n/n^(2p)) as n goes from 1 to infinity converges for certain values of p.
To determine those values, we need to analyze the behavior of the series using the p-series test.
The p-series test states that for a series of the form ∑(1/n^k), if k > 1, the series converges, and if k ≤ 1, the series diverges.
In our given series, the numerator is a linear function of n, while the denominator is a power function of n. By comparing the exponent of n in the numerator (1) with the exponent of n in the denominator (2p), we can conclude that the series will converge only if 2p > 1.
Therefore, the values of p for which the series converges are p > 1/2. In interval notation, we can express this as (1/2, ∞).
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If f(x)=constant, we can use the formula for the area of a rectangle to compute the exact value of the area under the graph of f(x) over the interval [a,b]. True O False
The exact value of the area under the graph of f(x) over the interval [a,b] is False.
If f(x) is a constant function, meaning it has the same value for all x, then the graph of f(x) over the interval [a, b] will be a horizontal line.
The area under a constant function over any interval is simply the product of the constant value and the width of the interval.
However, the formula for the area of a rectangle is not applicable in this case because the graph of a constant function does not form a rectangle.
The area under a constant function is a rectangle only when the function is a constant height (y-value) over the entire interval, which is not the case for arbitrary constant functions.
To compute the exact value of the area under the graph of f(x) over the interval [a, b] when f(x) is a constant, you simply need to multiply the constant value by the width of the interval, which is (b - a).
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If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent. True or False?
The statement "If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent" is true.
Let's understand why?
Explanation:
An argument with a tautology conclusion is an argument that arrives at a conclusion that is always true, regardless of the truth values of the premises. In other words, it is impossible for the premises to be true while the conclusion is false.
This means that any attempt to find a counterexample that disproves the conclusion will always fail, as there is no possible scenario in which the conclusion is false.
The counterexample set of an argument is the set of all possible scenarios in which the premises are true but the conclusion is false. If the conclusion is a tautology, then there is no possible scenario in which the conclusion is false, and thus the counterexample set is empty. An empty counterexample set is equivalent to an inconsistent counterexample set, as it means that there is no consistent scenario in which the conclusion is false.
Therefore, if the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent.
Hence, the statement is true.
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What is ?
A.
B.
C.
D.
Answer:
A.Is Invisible
B.Is Iniviatable
C.Is Blank
D.Is Nothing
Step-by-step explanation:
Dont Thanks me if theres are nothing
How many weeks did it take for Val and Glen to have the same number of volunteer hours remaining?
Step-by-step explanation:
Without additional information about the initial volunteer hours for Val and Glen, as well as the rate at which they are completing volunteer hours, it is not possible to determine how many weeks it will take for them to have the same number of volunteer hours remaining.
If we had this information, we could set up an equation to represent the situation and solve for the number of weeks. However, as it stands, we do not have enough information to provide a specific answer.
A company expands and hires some new employees. If the ratio of new employees to old employees in the company is 1 : 3, and there are now 1,200 people working for the company, how many new employees did the company hire?
Answer:
300 new employees
Step-by-step explanation:
1:3
x + 3x = 1,200
4x = 1200
x = 300
PLEASE HELP HELP!!
4. The volume of a rectangular prism that has length of 6.3 mm; width of 2.5 mm; and height of 1.2 mm =
mm3.
18.9
3.0
15.8
7.8
A class has 27 students. Fifteen are boys and the rest are girls. What is the ratio of girls to total students?
Answer:
4 : 9
Step-by-step explanation:
Girls = 27 - 15 = 12
=> The ratio of girls to total students will be: 12 : 27 or 4 : 9