Answer:
\(\huge\boxed{x=-12}\)
Step-by-step explanation:
In order to solve for this proportion, it’s important to note that this is basically just an equation. Like any other, our goal is to isolate x on one side.
Since we have two fractions, we can multiply both sides by both the denominators (x-3 and x-9). Since one will cancel out the other, we can just multiply both sides by the opposite denominator.
\(5(x-9)=7(x-3)\\\\5x-45=7x-21\)
Now we can solve for x.
Subtract 5x from both sides:
\(-45=2x-21\)
Add 21 to both sides:
\(-24=2x\)
Divide both sides by 2:
\(x = -12\)
Hope this helped!
Answer:
\(x= -12\)
Step-by-step explanation:
Step 1: Write equation
\(\frac{5}{x-3} =\frac{7}{x-9}\)
Step 2: Solve for x
Cross multiply: \(5(x-9)=7(x-3)\)Distribute: \(5x-45=7x-21\)Subtract 5x on both sides: \(-45=2x-21\)Add 21 to both sides: \(-24=2x\)Divide both sides by 2: \(-12=x\)Rewrite: \(x= -12\)Step 3: Check
Plug in x to verify it's a solution.
\(\frac{5}{-12-3} =\frac{7}{-12-9}\)
\(\frac{5}{-15} =\frac{7}{-21}\)
\(\frac{-1}{3} =\frac{-1}{3}\)
55 – 3 ● 9 + 12 ÷ 3
pls tell
Answer:
32
Step-by-step explanation:
I'm gonna assume that huge white dot means multiply
55-3×9+12÷3 ur gonna wanna use pemdas here
so multiply first
55-27+12÷3
now divide
55-27+4
now go left to right
28+4
32
Calculate each Poisson probability: a. P(X = 7), λ = 6 (Round your answer to 4 decimal places.) b. P(X = 11), λ = 12 (Round your answer to 4 decimal places.) c. P(X = 6), λ = 8 (Round your answer to 4 decimal places.)
P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.
The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.
To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!
Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.
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what would be the null and alternative hypothesis for testing to see if there is a relatonsip between age and opinion for the question asked by gallup
The null and alternative hypothesis for testing to see if there is a relatonsip between age and opinion for the question asked by gallup is Divorce Opinions and Gender I.
We introduce the results of a
May 2010 Gallup poll of 1029 US adults. When asked if they view divorce as “morally acceptable”,
71% of the men and 67% of the women in the sample responded yes. In the test for a difference in
proportions, a randomization distribution gives a p-value of 0.165. Does this indicate a significant
Solution
If we use a 5% significance level, the p-value of 0.165 is not less than α = 0.05 so we would not
reject H0 : pf = pm. This means the data do not show significant evidence of a difference in the
proportions of men and women that view divorce as “morally acceptable”
Solution
(a) The p-value (0.003) is small so the decision is to reject H0 and conclude that the mean recall
for sleep (¯xs = 15.25) is different from the mean recall for caffeine (¯xc = 12.25). Since the mean
for the sleep group is higher than the mean for the caffeine group, we have sufficient evidence to
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The isosceles triangle is a scale drawing of a flag.
The perimeter of the actual flag is 22 in. Draw
another scale drawing of the flag with a perimeter
of 11 in. What is the scale of your drawing? Explain.
Answer:
Scale factor = \(\frac{1}{2}\)
Step-by-step explanation:
Perimeter of the actual flag = 22 in.
Perimeter of the scale drawing of the flag = 11 in.
Since, perimeter of a triangle = Sum of all three sides of the given triangle
Therefore, scale factor of the drawing
= \(\frac{\text{Measure of the side of drawing}}{\text{Measure of the side of actual}}\) = \(\frac{\text{Perimeter of drawing}}{\text{Perimeter of actual}}\)
= \(\frac{11}{22}\)
= \(\frac{1}{2}\)
Therefore, scale factor of the drawing will be \(\frac{1}{2}\).
Each side of the scaled triangle will be half of the actual triangle.
Can someone help me please ASAP
Answer:
140°solution,
Let <DEF= x°
<CDE= 2x°
<BAF= 90°
The sum of interior angle of hexagon= 720°
<A + <B + <C + <D + <E +<F = 720°
\(90 + 145 + 115 + 2x + x + 160 = 720 \\ 510 + 3x = 720 \\3x + 510 = 720 \\ 3x + 510 - 510 = 720 - 510 \\ 3x = 210 \\ \frac{3x}{x} = \frac{210}{3} \\ x = 70 \: degree\)
Again,
\( < \: cde = 2x \\ \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 70 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 140 \: degree\)
Hope this helps...
Good luck on your assignment..
Mustafa, Heloise, and Gia have written more than a combined total of
22
2222 articles for the school newspaper. Heloise has written
1
4
4
1
start fraction, 1, divided by, 4, end fraction as many articles as Mustafa has. Gia has written
3
2
2
3
start fraction, 3, divided by, 2, end fraction as many articles as Mustafa has.
Write an inequality to determine the number of articles,
�
mm, Mustafa could have written for the school newspaper.
m > 8 is an inequality used to calculate the number of articles Mustafa could have written.
Let's assume that Mustafa has written m articles for the school newspaper.
Then, according to the given information:
Heloise has written 1/4 as many articles as Mustafa has, which means she has written 1/4 × m = m/4 articles.
Gia has written 3/2 as many articles as Mustafa has, which means she has written 3/2 × m = 3m/2 articles.
The combined total of articles written by all three is more than 22, so we can write:
m/4 + 3m/2 + m > 22
Simplifying and solving for m:
11m/4 > 22
m > 22 × 4/11
m > 8
Therefore, m > 8 is an inequality used to calculate the number of articles Mustafa could have written.
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(14) (55, 42, 32, 48, 55, x), mean = 49
Answer:
78
Step-by-step explanation:
Add all the numbers given =256 then take the mean and multiply it with 7 =334 then take 334_256=78 and done
A researcher records the hospital admission rates for coronary heart disease at 10 local hospitals. She finds that 2 different hospitals had the highest overall rates of hospital admissions. Which measure of central tendency did this researcher use to describe these data
The central tendency researcher use to describe these data is "mode".
What is mode?The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data. The mean, or average of a set, and the median, or middle value in a set, are two more common measurements of central tendency.
Calculation of mode is done by-
The number that appears the most frequently in a piece of data is its mode. Put the numbers in ascending order by least to greatest, then count the occurrences of each number to quickly determine the mode. The most frequent number is the mode.Simply counting how many times each number appears in the data set can help you identify the mode, which is the number that appears the most frequently in the data set. The figure with the largest total is the mode.Example: Since it happens most frequently, the mode for the data set [5, 7, 8, 2, 1, 5, 6, 7, 5] is 5.To know more about the mode of the data, here
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If x = −3, which number line shows the value of |x|? (5 points)
Question 11 options:
1)
2)
3)
4)
2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??
help i need this what is it
Answer:
98
Step-by-step explanation:
2+3=2*[3+(2-1)]=8
3+7=3*[7+(3-1)]=27
4+5=4*[5+(4-1)]=32
5+8=5*[8+(5-1)]=60
6+7=6*[7+(6-1)]=72
therefore
7+8=7*[8+(7-1)]=98
x+y=x[y+(x-1)]=x^2+xy-x
Answer:
96?
Step-by-step explanation:
i guessed i mean it has to be greater than 95 and less than 100
How do you solve what is 2/3 of 3/4?
Answer:
0.5
Step-by-step explanation:
=
. Consider the polynomial function p given by p(x) = 5x3 + 8x2 – 3x + 1. Evaluate the
function at x = -2.
Answer:
hope it helps u............
The regular price is $150 but there is a 20% off coupon. What is the sale price?
Answer:
30
Step-by-step explanation:
30
Corresponding means *
A.having the same relationship; matching
B.having the same shape and size.
Convert the equation from standard to slope-intercept form.
10x – 2y = -6
Answer:
The answer would be y = 5x + 3
Step-by-step explanation:
Find the common diffrence
2)23,21,19.17
Answer:
goes down by 2 ?
Step-by-step explanation:
23-2=21
21-2=19
19-2=17
17-2=15
A right circular cylinder has a volume of 45pi. If the height of the cylinder is 5, what is the radius of the cylinder? Plz I need it Rn
Answer:
this is the answer I know.
what is 2 / 12 * 20
Answer:
3⅓
Step-by-step explanation:
2/12•20=
1/6•20=
20/6=
10/3=
3⅓
The first three steps in determining the solution set of the system of equations algebraically are shown.
y = x2 − x − 3
y = −3x + 5
(2,-1), (-4,17).
Step-by-step explanation:
Equate the equation A and equation B
Convert the quadratic equation in factored form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
Square root both sides
Find the values of y
Substitute the value of x in the equation B
the risk-free return during the sample period was 3%. calculate the jensen measure of performance evaluation for sooner stock fund.
the jensen measure of performance evaluation for sooner stock fund will be 2.6%.
What is the percentage?
A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. The percentage refers to one in a hundred. The % sign is used to denote it.
the risk-free return during the sample period was 3%.
performance evaluation for sooner stock fund.
Expected return of Sooner Stock Fund = E(Rp) = 20%
Beta of stock = 1.8
risk free rate Rf = 3%
Market Return Rm = 11%
So, Jensen measure alpha = E(Rp) - Rf - beta*(Rm - Rf) = 20 - 3 - 1.8*(11-8) = 2.6%
Hence the Jensen measure of performance evaluation for the sooner stock fund will be 2.6%.
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for what values of the numbers a and b does the function $ f(x) = axe^{bx^2} $
Function f(x) = ax\(e^{(bx^{2} )}\)to be well-defined, there are no specific restrictions on a and b, both a and b have any real numbers.
Function is equal to,
f(x) = ax\(e^{(bx^{2} )}\)
To determine the values of a and b for which the function f(x) = ax\(e^{(bx^{2} )}\) is well-defined,
Consider the conditions that ensure the function remains finite and defined for all values of x.
For the function f(x) = ax\(e^{(bx^{2} )}\) to be well-defined,
The exponential term \(e^{(bx^{2} )}\) must be defined for all real values of x.
The product ax must also be defined for all real values of x.
Let us examine these conditions,
Exponential term,
The exponential function \(e^{(bx^{2} )}\) is always defined for any real value of x.
There are no restrictions on the values of b that would make the exponential term undefined.
Product term,
The product ax must be defined for all real values of x.
This means that both a and x must be real numbers, and their product must be finite.
There are no restrictions on the values of a that would make the product term undefined.
Therefore, for function f(x) = ax\(e^{(bx^{2} )}\) is well defined there are no specific restrictions on values of a and b, both a and b can be any real numbers.
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The above question is incomplete, the complete question is:
What values of the numbers a and b does the function f(x) = axe^ {bx^2} is well defined?
write a dependency statement to describe the relationship between a ball thrown relative to time
pls help !!!
Answer:
Step-by-step explanation:
A possible dependency statement to describe the relationship between a ball thrown relative to time is:
"The height of a ball thrown is dependent on the time elapsed since it was released, and this dependency can be modeled by a quadratic function, where the height is a function of time squared with some initial velocity and height."
You spin the spinner 80 times. About how many times do you expect it will land on something other than A? Explain your reasoning.
Answer:
60%
Step-by-step explanation:
I hopes this helps.
Help please, thanks :)
Answer:
х=6
Step-by-step explanation:
\(7 + 5(x -3 ) = 22 \\ 7 + 5x - 15 = 22 \\ 5x = 22 - 7 + 15 \\ 5x = 30 \\ x = 6\)
Answer:
C
x=6
Step-by-step explanation:
ONLY ANSWER IF YOU KNOW. What is the probability that either event will occur?
Answer:
0.67
Step-by-step explanation:
Hope this helps!
What is the answer to this- 9th-grade geometry
Answer:
AB is congruent is CD. (Last one)
Step-by-step explanation:
Hypotenuse leg is when the hypotenuse and ONE (you only need one, not two) leg of the triangle are congruent in a RIGHT triangle.
In the image, you already know that it is a right triangle and you know that the hypotenuse are congruent (Reflexive Prop) .You just need to know that the legs are congruent. So you choose which one has the legs congruent. The leg pairs that can be congruent are AD and CB or DC and AB. The only one that matches this is the last one
factor the polynomial
72a^5b^3c - 32a^3b^2c^2
Answer:
8a³b²c(9a²b - 4c)
Step-by-step explanation:
The GCF of 72 and 32 is 8.
72a^5b^3c - 32a^3b^2c^2 = 8a³b²c(9a²b - 4c)
Calculate height of lighthouse pls :) thx
The height of lighthouse is 72.54
Given,
In the question:
To see the figure:
To find the height of lighthouse.
Now, According to the question:
In Triangle ABD
tan 20° = \(\frac{h}{20 + x}\)
0.36 = \(\frac{h}{20 + x}\)
=> (20 + x)0.36 = h
=> 0.72 + 0.36x = h
=> x = \(\frac{h - 72}{0.36}\) .....(1)
In Triangle ABC
tan 34° = h/x
=> 0.67 = \(\frac{h}{\frac{h-72}{0.36} }\)
=> 0.67 = 0.36/h - 72
=> 0.67 (h - 72) = 0.36
=> h - 72 = 0.54
=> h = 0.54 + 72
=> h = 72.54
Hence, The height of lighthouse is 72.54
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What is the y-value when x equals -12.
Answer:
-128 it’s on the table
Step-by-step explanation:
HEY!HERE IS UR ANSWER:
So as x=-12
Well then y=-200-6(-12)
y=-200+72 {Positive 72 cause negative 6 * negative 12 equals positive 72}
y=-128
HOPE IT MAKES UR DAY BETTER!!
PLZZZ HELP ME ASAP! TAKING A TEST
Which expressions are equivalent to x+4/3 / 6/x when x ≠ 0? Select three options.
Answer:
Thx for free points. remember me? actually answer questions.