Answer: 4
Step-by-step explanation:
\(5(x+8)=6(x+6)\\5x+40=6x+36\\40=x+36\\x=4\)
\(\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}\)
So it follows from the theorem that:
\( \sf{6(6 + x) = 5(5 + x + 3)}\)
Solve the resulting equation for x:
\( \sf \longrightarrow{36 + 6x = 25 + 5x + 15}\)
\( \sf \longrightarrow{6x - 52 = 25 + 15 – 36}\)
\( \sf \longrightarrow{x = 4}\)
\(\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}\)
\( \bm{The \: \: value \: \: of \: \: x \: is \: \: 4}\)
Given that
P
=
7
x
+
20
−
2
y
.
Find
P
when:
x
=
7
and
y
=
10
Answer:
49 2 will be the answer
Step-by-step explanation:
when will u send me request in fb
Answer:
p = 49
hope it's helpful ❤❤❤❤❤
THANK YOU.
Evaluate sin^-1 1/2 . Round your answer to the nearest hundredth.
Answer:
30.00Step-by-step explanation:
Given the expression \(sin^{-1} 1/2\), the following steps must be taken to evaluate the expression.
\(Let\ y = sin^{-1}1/2\)
\(y = sin^{-1} 0.5\)
From the calculator, the value of y wil give;
\(y = 30\\\\y = 30.00 (to\ the \ nearest \ hundredth)\)
Hence \(sin^{-1} 0.5 = 30.00\).
Answer:
Step-by-step explanation:
The answer is 0.52
Hope that helped
what is the rate of change of the function?
I hope it is helpful for you ....
Evaluate the expression (10 x 7} + (10 - 6).
10 times 7 = 70
10 - 6 = 4
70 + 4 = 74
Answer:
70x+4
Step-by-step explanation:
simplify the expression
tip: u can use mäthwäy next time ;) its really helpful
in lixue’s garden, the green pepper plants grew 5 inches in 3 4 month. at this rate, how many feet can they grow in one month? (let 5 inches
It would grow by approximately 1.6668 inches to 1.2504 inches
In Lixue's garden, the green pepper plants grew 5 inches in 3-4 months. To find out how many feet they can grow in one month, we can use the given information.
Let's start by converting the inches to feet. Since there are 12 inches in a foot, we divide 5 inches by 12 to get the equivalent in feet: 5 inches ÷ 12 = 0.4167 feet (rounded to four decimal places).
Now, we need to determine how much they can grow in one month. Since the plants grew 0.4167 feet in 3-4 months, we divide this amount by the number of months to find their average monthly growth.
If we assume that the plants grew 0.4167 feet in 3 months, their monthly growth rate would be 0.4167 feet ÷ 3 months = 0.1389 feet per month (rounded to four decimal places).
If we assume that the plants grew 0.4167 feet in 4 months, their monthly growth rate would be 0.4167 feet ÷ 4 months = 0.1042 feet per month (rounded to four decimal places).
Therefore, based on the given information, the green pepper plants can grow approximately 0.1389 feet to 0.1042 feet in one month, depending on whether we consider a 3-month or 4-month timeframe.
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How do I find the quotient?
Answer:
Quotient means answer in the first place.
How do you find the quotient?
ans:Uou divide the dividend by the diviser to get the quotient.
please help I beg you you will get marked branliest asap
Answer:
its D I think........ not 100% sure
the odometer readings on a random sample of identical model sports cars are normally distributed with a mean of 120,000 miles and a standard deviation of 30,000 miles. consider a group of 6000 sports cars.approximately how many sports cars will have less than 150,000 miles on the odometer?
Answer:
about 45%
Step-by-step explanation:
it should be right
type the correct answer in each box. use numerals instead of words if neasary
This is given point in the fourth quadrant.
In this point, the adjacent is
\(\frac{5}{13}\)The opposite is y.
Find hypotenuse h using the pythagorean theorem:
\(\begin{gathered} h^2=(\frac{5}{13})^2+y^2 \\ h=\sqrt[]{\frac{25}{169}+y^2} \end{gathered}\)\(\sec (\theta)\)is equal to hypotenuse by adjacent.
\(\cot (\theta)\)is equal to adjacent by opposite.
In the fourth quadrant,
\(\sec \theta\)is positive , and
\(\cot \theta\)is negative.
So,
\(\begin{gathered} \sec \theta=\frac{h}{\frac{5}{13}} \\ =\frac{13\sqrt[]{\frac{25}{169}+y^2}}{5} \\ \cot \theta=\frac{\frac{5}{13}}{-y} \\ =-\frac{5}{13y} \end{gathered}\)Need help doing this
Answer:
huh I'm confused I dont know
Show how to add the fractions 1/8 and 1/12 by using the LCM of 8 and 12 as the common denominator
(Quickly, and will give brainliest i to the best described one.)
Adding the fractions 1/8 and 1/12 by using the LCM of 8 and 12 as the common denominator exists 5/24.
What is meant by fractions?A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction. A correct fraction has a numerator that is lower than its denominator.
An element of a whole or, more broadly, any number of equal pieces, is represented by a fraction. When used in conversational English, a fraction indicates the number of components of a particular size, as in one-half, eight-fifths, and three-quarters.
Let the fractions be 1/8 and 1/12
8 = 2 × 4
12 = 3 × 4
By using LCM, we get
\($2 \times 3 \times 4=24 \quad\{L C M\}$\)
= 1/8 + 1/12
simplifying the equation, we get
\($=\frac{1 \times 3}{8 \times 3}+\frac{1 \times 2}{12 \times 2}$\)
= 3/24 + 2/24
= 5/24
Therefore, adding the fractions 1/8 and 1/12 by using the LCM of 8 and 12 as the common denominator exists 5/24.
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choose the statement that is false.group of answer choicesa 95% confidence interval is wider than a 90% confidence intervalwhen sampling for means and thinking about the central limit theorem, the n should always be >30.when estimating the standard deviation in calculating confidence intervals, make sure you use the t tables.reducing the variation of a process will increase the width of a given confidence interval relative to that process.
Reducing the variation of a process will increase the width of a given confidence interval relative to that process.
Option C is correct .
What is a confidence interval?
In statistics, the probability that a population parameter will fall between a set of values for a predetermined percentage of the time is referred to as a confidence interval. By employing the dimensions of values used in the computation of the intervals, it is simple to establish the link between components of two confidence intervals. The width is a fundamental component in these range estimates, which are affected by sample size, etc.
Hence, reducing the variation of a process will increase the width of a given confidence interval relative to that process is false.
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She spent $12 on a hat, then spent one-third of her remaining money on some music. After that, she found $16 on the ground and put it in her pocket. Finally, she spent half of her remaining money on a new dress, leaving her with just $18. A student completed the work below to represent how much money Sally had after each transaction. Sally only gave the following list of numbers without showing her work. Using the working backwards strategy. which value in her list is wrong? Sally's Values 72 60 20 36 18
The wrong value in Sally's list is 36. Sally did not have $36 left after she found $16 and put it in her pocket. She actually had $48 left.
Let x be the amount of money Sally started with.
She spent $12 on a hat, leaving her with x - 12 dollars.
She then spent one-third of her remaining money on some music. This means she spent
(1/3)(x - 12) dollars.
After that, she found $16 on the ground and put it in her pocket.
Sally now has (1/3)(x - 12) + 16 dollars.
Finally, Sally spent half of her remaining money on a new dress, leaving her with just $18.
Therefore, (1/2)[(1/3)(x - 12) + 16] = 18.
Now we can solve for x and determine how much money Sally started with.
(1/6)(x - 12) + 8 = 18
(1/6)(x - 12) = 10
x - 12 = 60
x = 72
So Sally started with $72. After each transaction, Sally had the following amounts of money: $72, $60, $20, $48, $18.
To check whether Sally's list is correct, we can work backward.
Starting with $18, we can reverse the process by adding $18 to the amount Sally had after each transaction.
After spending half of her remaining money on a new dress, Sally had (2)(18) = 36 dollars.
However, Sally actually had $48 left after she found $16 and put it in her pocket.
Therefore, the wrong value in Sally's list is 36.
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Devon ends up paying extra 28% in intrest, if the ps5 is 500 how much did he pay in intrest?
Answer:
780
Step-by-step explanation:
i think sorry if it is wrong
Which relation is a function?
Answer:
the one that looks like a v
Step-by-step explanation:
bc for every y-input, there is only one output-x
21.57 x 0.12 =
Divided by a power of 10
Answer:
Answer vary :
0.25884
Step-by-step explanation:
honestly in my opinion that’s the answer.
1. 21.57 times 0.12 = 2.5884
then divide 2.5884 by the power of ten, wich is moving the decimal to left with how many zeros their are.
-0.25884
since in 10 their is only one 0 we moved the decimal only one time to the left.
and that’s how I came to that solution.
Let Xi, i=1,2,3 be independent random variables from N(i,i2) distributions. For each of the following, use the Xi's to construct a statistic with the indicated distribution.
(a) chi-squared distribution with v=3 degrees of freedom.
(b) t distribution with v=2 degrees of freedom.
(c) F distribution with v1=1 and v=2 degrees of freedom.
a) For chi-squared distribution with v=3 degrees of freedom, the statistic that can be constructed using Xi's is:
X2 = Σ i=1 3 (Xi − i)2 / 3.
X2 has chi-squared distribution with 3 degrees of freedom.
b) For t-distribution with v=2 degrees of freedom, the statistic that can be constructed using Xi's is:
T = (X1 − 1) / [(X2/2)0.5].
T has t-distribution with 2 degrees of freedom.
c) For F-distribution with v1=1 and v=2 degrees of freedom, the statistic that can be constructed using Xi's is:
F = [(X1 − 1)/1] / [(Σi=2 to 3 Xi2) / 2].
F has F-distribution with 1 and 2 degrees of freedom.
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i need help now! Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.
Answer:
i cant see a parrellogram!
please post a picture
approximately 14 percent of the population of arizona is 65 years or older. a random sample of five persons from this population is taken. the probability that less than 2 of the 5 are 65 years or older is:
The probability that less than 2 of the 5 are 65 years or older is 70.32%
To calculate the probability that less than 2 out of 5 randomly selected persons from the population of Arizona are 65 years or older, we need to calculate the probabilities of selecting 0 and 1 persons who are 65 years or older and then sum them.
The probability of selecting 0 persons who are 65 years or older can be calculated using the binomial probability formula:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
Where:
P(X = k) is the probability of selecting k persons who are 65 years or older,
C(n, k) is the number of combinations of selecting k items from a set of n items,
p is the probability of selecting a person who is 65 years or older,
(1 - p) is the probability of selecting a person who is not 65 years or older,
n is the total number of trials (sample size).
Using this formula, we can calculate the probability of selecting 0 persons who are 65 years or older:
P(X = 0) = C(5, 0) * 0.14^0 * (1 - 0.14)^(5 - 0)
Similarly, we can calculate the probability of selecting 1 person who is 65 years or older:
P(X = 1) = C(5, 1) * 0.14^1 * (1 - 0.14)^(5 - 1)
Finally, we can sum these probabilities to get the probability of less than 2 persons who are 65 years or older:
P(X < 2) = P(X = 0) + P(X = 1)
Calculating these probabilities:
P(X = 0) = C(5, 0) * 0.14^0 * (1 - 0.14)^(5 - 0) = 1 * 1 * 0.86^5 = 0.2968 (approximately)
P(X = 1) = C(5, 1) * 0.14^1 * (1 - 0.14)^(5 - 1) = 5 * 0.14 * 0.86^4 = 0.4064 (approximately)
P(X < 2) = P(X = 0) + P(X = 1) = 0.2968 + 0.4064 = 0.7032 (approximately)
Therefore, the probability that less than 2 out of 5 randomly selected persons from the population of Arizona are 65 years or older is approximately 0.7032 or 70.32%.
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What is 2.32 written in word?
Answer:
\( \boxed{two \: point \: three \: two}\)
1. 3x + y = 4
I need help I need to solve for y
Answer:
\(y=4-3x\)
Step-by-step explanation:
\(3x+y=4\)
Subtract 3x from both sides:
\(3x+y-3x=4-3x\)
\(y=4-3x\)
Answer:
its answer is
y=4-3x ok
Prism M and Pyramd N have the same base area and height. Cylinder P and Prism Q have the same height and the same base perimeter. Cone z has the same base area as Cylinder Y, but it’s height is three times the height of cylinder y. Which figures have the same volume
The figures that have the same volume are
Cone z has the same base area as Cylinder Y, but it’s height is three times the height of cylinder yHow to ascertain the figure with same volumeSince the volume of a cylinder is given by the formula
V = base area * heightheight = h
and the volume of a cone is given by the formula
V = 1/3 * base area * heightheight = 3h
Equating both as given in the equation
volume of a cylinder = volume of a cone
base area * height = 1/3 * base area * height
h = 1/3 * 3h
h = h
hence the volume will be equal
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A random sample of 50 observations yielded the following frequencies for the standardized intervals:
Interval Frequency
Z < - 1 6
-1 < Z < 1 27
0 < Z < 1 14
Z > 1 3
Can we infer that data are not normal? Use a=.10
We cannot infer that the data is not normal based on the given sample frequencies.
How we cannot infer that the data is not normal based?To determine if the given data is normal or not, we will use the chi-square goodness-of-fit test at a significance level of α = 0.10.
First, we need to calculate the expected frequencies assuming the data is normal. For this, we will assume a standard normal distribution and calculate the probabilities for the given intervals:
Interval Probability Expected Frequency
Z < -1 0.1587 (0.1587)50 = 7.935
-1 < Z < 1 0.6826 (0.6826)50 = 34.13
0 < Z < 1 0.3413 (0.3413)50 = 17.065
Z > 1 0.1587 (0.1587)50 = 7.935
Next, we will calculate the chi-square test statistic:
χ2 = Σ[(Observed Frequency - Expected Frequency)2 / Expected Frequency]
χ2 = [(6 - 7.935)2 / 7.935] + [(27 - 34.13)2 / 34.13] + [(14 - 17.065)2 / 17.065] + [(3 - 7.935)2 / 7.935]
χ2 = 2.910
The critical value of chi-square with 3 degrees of freedom and a significance level of α = 0.10 is 6.251. Since the calculated χ2 value (2.910) is less than the critical value (6.251), we fail to reject the null hypothesis that the data is normally distributed at the α = 0.10 level.
Therefore, we cannot infer that the data is not normal based on the given sample frequencies.
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Find the derivatives of the following using the power, product, quotient, chain, exponential, and/or logarithmic rules. (Simplify as much as possible. No negative or fractional exponents should be in your final answer). 17) z(x)=(3x 2
−2x)(2x−7) 4
f(x)= 6x−1
(5x+3) 3
19) f(x)= (6x−1) 3
5x+3
20) f(x)= 4x 3
−2x+7
The derivatives of the given functions are:
z'(x) = (6x - 2)(2x - 7)^4 + 8(3x^2 - 2x)(2x - 7)^3
f'(x) = 18(6x - 1)^2 - 15(6x - 1)^3(5x + 3)^2
f'(x) = -16x^3 + 84x^2
To find the derivatives of the given functions, we'll use the power rule, product rule, quotient rule, chain rule, exponential rule, and logarithmic rule where applicable. Let's solve each problem one by one:
Given: z(x) = (3x^2 - 2x)(2x - 7)^4
To find the derivative, we'll apply the product rule. The product rule states that if we have a function u(x) multiplied by another function v(x), the derivative of the product is given by:
(d/dx)(u(x) * v(x)) = u'(x) * v(x) + u(x) * v'(x)
Let's apply the product rule to z(x):
z'(x) = (3x^2 - 2x)' * (2x - 7)^4 + (3x^2 - 2x) * ((2x - 7)^4)'
Taking the derivatives of each term:
z'(x) = (6x - 2) * (2x - 7)^4 + (3x^2 - 2x) * 4(2x - 7)^3 * 2
Simplifying the expression:
z'(x) = (6x - 2)(2x - 7)^4 + 8(3x^2 - 2x)(2x - 7)^3
Given: f(x) = (6x - 1)^3 / (5x + 3)^3
To find the derivative, we'll apply the quotient rule. The quotient rule states that if we have a function u(x) divided by another function v(x), the derivative of the quotient is given by:
(d/dx)(u(x) / v(x)) = (u'(x) * v(x) - u(x) * v'(x)) / v(x)^2
Let's apply the quotient rule to f(x):
f'(x) = ((6x - 1)^3)' * (5x + 3)^3 - (6x - 1)^3 * ((5x + 3)^3)'
Taking the derivatives of each term:
f'(x) = 3(6x - 1)^2 * 6 - (6x - 1)^3 * 3(5x + 3)^2 * 5
Simplifying the expression:
f'(x) = 18(6x - 1)^2 - 15(6x - 1)^3(5x + 3)^2
Given: f(x) = 4x^3 / (-2x + 7)
To find the derivative, we'll apply the quotient rule again:
f'(x) = (4x^3)' * (-2x + 7) - 4x^3 * (-2x + 7)'
Taking the derivatives of each term:
f'(x) = 12x^2 * (-2x + 7) - 4x^3 * (-2)
Simplifying the expression:
f'(x) = -24x^3 + 84x^2 + 8x^3
f'(x) = -16x^3 + 84x^2
So, the derivatives of the given functions are:
z'(x) = (6x - 2)(2x - 7)^4 + 8(3x^2 - 2x)(2x - 7)^3
f'(x) = 18(6x - 1)^2 - 15(6x - 1)^3(5x + 3)^2
f'(x) = -16x^3 + 84x^2
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(20P) Help please and thanks
Answer:
121212
Step-by-step explanation:
f12121
How can an expression written in either radical form or rational exponent form be rewritten to fit the other form? Explain thoroughly and thank you for your time.
Answer:
Step-by-step explanation:
We'll start with going form exponential to radical, since it may be easier to follow. For example,
\(x^{\frac{4}{3}\) can be written, in radical form, as
\(\sqrt[3]{x^4}\). What happens is that the denominator of the fraction serves as the index (the number that sits in the bend of the radical) and the numerator serves as the power on the variable (or number, if that's the case). Let's look at another one:
\(4^{\frac{2}{3}\) becomes
\(\sqrt[3]{4^2}=\sqrt[3]{16}=\sqrt[3]{8*2}=2\sqrt[3]2}\)
And you can go the other way with it. For example,
\(\sqrt[5]{x^4}\) becomes
\(x^{\frac{4}{5}\), etc. Get it?
Answer:
When you're given a problem in radical form, you may have an easier time if you You can rewrite every radical as an exponent by using the following property — the top ... For example, 643/2 is easier if you write it as (641/2)3 = 83 = 512 rather than (643)1/2, Rewrite the entire expression using rational exponents.
Describe the relationship between the area of a circle and its circumference.
The is times the times the circumference.
Answer:
The area is twice the circumference
Area = 2 * circumference
Step-by-step explanation:
Proof:
r = 2
Circumference = 2\(\pi\)r
Circumference = 12.566
Area = \(\pi\)r^2
Area = 25.132
25.132/12.566 ≈ 2
Answer:
the (area) is (1/2) times the (radius) times the circumference.
Step-by-step explanation:
i dont know how to explain it exactly but i found the cerect answer.
Caleb an investment banker sold his shares for $18,189.27 when there was a boom in the stock market. Calculate the amount he paid for the shares if his selling price was 130% of the amount he paid for the shares.
Therefore, Caleb paid approximately $14,067.90 for the shares.
Let's assume the amount Caleb paid for the shares is represented by the variable "x". According to the given information, his selling price was 130% of the amount he paid.
Selling price = 130% of the amount paid
$18,189.27 = 1.3 * x
To find the amount he paid for the shares, we can solve the equation for "x" by dividing both sides by 1.3:
x = $18,189.27 / 1.3
Calculating this, we find:
x ≈ $14,067.90
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If you have an independent group design and ordinal data, which test do you use?
The test to use when there's an independent group design and ordinal data is the Kruskal Wallis test
Given: Independent group and ordinal data. To find which test to use.
What's the Kruskal Wallis test?
The Kruskal Wallis test is used when you have one independent variable with two or further situations and an ordinal dependent variable. In other words, it's thenon-parametric interpretation of ANOVA and a generalized form of the Mann- Whitney test system since it permits two or further groups.
The Kruskal Wallis test is used when you have one independent variable with two or further situations and an ordinal dependent variable. In other words, it's thenon-parametric interpretation of ANOVA and a generalized form of the Mann- Whitney test system since it permits two or further groups.
The null thesis for the Kruskal- Wallis test simply states that there are no methodical or harmonious differences among the treatments being compared.
How to calculate the Kruskal Wallis test?
The computation of the Kruskal- Wallis statistic requires
Combine the individualities from all the separate samples and rank order the entire group.Regroup the individualities into the original samples and cipher the sum of the species( T) for each sample. A formula is used to cipher the Kruskal- Wallis statistic which is distributed as a ki-square statistic with degrees of freedom equal to the number of samples minus one. The attained value must be lesser than the critical value for ki- forecourt to reject H0 and conclude that there are significant differences among the treatments.Hence as is mentioned for an independent group design and ordinal data so we use the Kruskal Wallis test.
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We can use the Kruskal Wallis test when we have an independent group design and ordinal data.
We are given an independent group design and ordinate data.
We need to tell which test to use on them.
The Kruskal Wallis test is used when you have one independent variable with two or more situations and one ordinal dependent variable. In other words, it is an interpretation of ANOVA table and a generalized form of the Mann- Whitney test system.
The null hypothesis for the Kruskal- Wallis test tells us that:
There are no methodical or harmonious differences among the treatments being compared.
Therefore, we can use the Kruskal Wallis test when we have an independent group design and ordinal data.
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help appreciated :)
thank you
Answer:
-
He spent 1 hour in total
-
1 hour
There's two Xs on the graph indicating that he had two 1/2 hour hikes, so you just add that up. And that's 1 hour woo