Answer:
x = 70
Step-by-step explanation:
In this picture, 139 and (7x-1) are on opposite sides of each other, meaning they are equal to each other. To solve for x, just make them equal to each other first.
1. 7x-1 = 139
2. Add 1 to both sides to isolate 7x.
7x = 140
3. Divide both sides by 7 to isolate x.
x = 70
4. Your answer is 70.
Hope this helped!
Without using a calculator, match each expression to the correct point.
According to the above, the point s coincides with number -5, the point t coincides with number -8.24 and the point u coincides with number 6.28.
How to identify the points that the expressions match?To identify the points that coincide with the expressions we must perform the mathematical operations shown. In this case, we must find the roots and multiply the 2 by the number pi as shown in the expressions column.
An important point is that we must do these operations in the positive form and then put the negative symbol because it is not possible to find the root of a negative number.
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The UCSB Office of the Chancellor is interested in whether or not the Univer- sity should continue to offer a hybrid class structure, with some components of the classes taking place in-person, and some being available asynchronously online. A random sample of 484 students was conducted to determine if the hybrid course design is preferred over the traditional (all in-person course design. If there is a tie, the Office of the Chancellor will continue to include the current hybrid course design. Of the 484 respondents, 363 indicated they preferred the hybrid course design being offered. . Construct a 90% confidence interval for the proportion of the student population that prefers the hybrid course design. b. Interpret your results from part (a) in the context of the problem. c. If we consider the survey results to be an old estimate, and we wanted to conduct now survey, how large would the sample size need to be if the bookstore wanted to fix the size of the margin of error at no more than 0.01, while holding the significance lovel at the same = 0.10?
To construct a 90% confidence interval for the proportion of the student population that prefers the hybrid course design, the formula for a proportion: CI = phat ± Z * sqrt(( phat * (1 - phat)) / n)
Where: phat is the sample proportion (363/484) . Z is the Z-score corresponding to the desired confidence level (90% confidence level corresponds to a Z-score of approximately 1.645). n is the sample size (484). Substituting the values, we have: CI = (363/484) ± 1.645 * sqrt(((363/484) * (1 - (363/484))) / 484). Calculating the values, we get: CI ≈ 0.75 ± 1.645 * sqrt((0.75 * 0.25) / 484). CI ≈ 0.75 ± 1.645 * sqrt(0.000388)
CI ≈ 0.75 ± 1.645 * 0.0197. CI ≈ 0.75 ± 0.0324. The 90% confidence interval for the proportion of the student population that prefers the hybrid course design is approximately (0.7176, 0.7824).b) The interpretation of the confidence interval is that we can be 90% confident that the true proportion of the student population that prefers the hybrid course design lies within the interval of (0.7176, 0.7824). This means that if we were to repeatedly take random samples and calculate confidence intervals, approximately 90% of those intervals would contain the true proportion of the student population.c) To determine the sample size needed for a new survey while fixing the margin of error at 0.01 and maintaining a significance level of 0.10, we can use the formula for sample size calculation for proportions:n = (Z^2 * phat * (1 - phat)) / (E^2). Where: Z is the Z-score corresponding to the desired significance level (0.10 corresponds to a Z-score of approximately 1.645). phat is the estimated proportion (we can use the previous sample proportion of 363/484). E is the desired margin of error (0.01). Substituting the values, we have: n = (1.645^2 * (363/484) * (1 - (363/484))) / (0.01^2). n ≈ 1.645^2 * (0.75 * 0.25) / 0.0001. n ≈ 1.645^2 * 0.1875 / 0.0001. n ≈ 0.5308 / 0.0001 . n ≈ 5308.
Therefore, the sample size needed for the new survey to achieve a margin of error of no more than 0.01, while maintaining a significance level of 0.10, would be approximately 5308.
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pleaseee help
find the slope of the line through each pair of points ( -1, -8) , (15, 20)
Answer:
-0.5
Step-by-step explanation:
What is 4135 as a fraction?
Answer: 4135 over 1 or 8270 over 2
Step-by-step explanation:
find the volume of the solid that lies under the hyperbolic paraboloid z = 3y2 − x2 3 and above the rectangle r = [−1, 1] × [1, 3].
The volume of the solid under the hyperbolic paraboloid and above the rectangle r is 4 cubic units. The solid lies under the paraboloid and above R, which intersects the xy-plane once.
The given hyperbolic paraboloid is \(z = (3y^2 − x^2)/3\). We are supposed to find the volume of the solid that lies under the hyperbolic paraboloid and above the rectangle r = [−1, 1] × [1, 3].
In order to find the volume, we are to use the following formula. V = ∬Rf(x,y)dA
Here, R represents the region under the curve and f(x, y) represents the height of each point.The limits of integration will be: The integral of x will go from -1 to 1. The integral of y will go from 1 to 3.The above region will be integrated in the form of double integrals. In this case, we take the volume of the solid to be the double integral of z over the given rectangle of integration.
\(∬R (3y^2 − x^2)/3 dA\)
= \(∫1³ ∫-1¹ (3y^2 − x^2)/3 dxdy\)
= 4
Now, it is confirmed that the volume of the solid is 4 cubic units.
Note: The above rectangular region, R, is a subset of the xy-plane, i.e., R ⊂ xy-plane. Since the given paraboloid intersects the xy-plane only once, and since R lies entirely above the plane, the solid that lies under the paraboloid and above R has finite volume.
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what is the decimal value of the following binary number? 10011101
The following binary number has the value of 157 in decimal form.
How can a binary number be converted to a decimal?Step 1: Compose the binary number in writing. 10011101
Multiplying each binary digit by the corresponding power of two in step two:
1x27 + 0x26 + 0x25 + 1x24 + 1x23 + 1x22 + 0x21 + 1x20
Solve the powers in Step 3:
1x128+0x64+0x32+1x16+8+4+0x2+1x1=128+0 + 0 + 0 + 16+8+4+0 + 0 + 1
Step 4: Add the figures listed above:
128 + 0 + 0 + 16 + 8 + 4 + 0 + 1 = 157.
What does the binary number system mean?A binary number is a number that is expressed in the binary system or base 2 numeral system, according to digital technology and mathematics. It talks about numerical values.by the two distinct digits 1 (one) and 0 (zero). The base-2 system is the positional notation that uses 2 as the radix.
Define decimal.A number that has been divided into a whole and a fraction is called a decimal. To express the numerical value of entirely and partially entire quantities between integers, decimal numbers are used.
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What is the expanded form for 72 cubed?
Answer:373248
Step-by-step explanation:
72^3 = 373248
(threex – 2)(fourx + one) =
Answer: 12x² - 5x - 2
Concept:
When doing questions that need to expand algebraic expressions, using the FOIL method will ease the process:
First means that we multiply the terms which occur in the first position of each binomial.Outer means that we multiply the terms which are located in both ends (outermost) of the two binomials when written side-by-side.Inner means that we multiply the middle two terms of the binomials when written side-by-side.Last means that we multiply the terms which occur in the last position of each binomial.Solve:
Given expression
(3x - 2) (4x + 1)
Expand parentheses and apply the FOIL method
First: 3x · 4x = 12x²
Outer: 3x · 1 = 3x
Inner: (-2) · 4x = -8x
Last: (-2) · 1 = -2
12x² + 3x - 8x - 2
Combine like terms
12x² + (3x - 8x) - 2
\(\boxed{12^2-5x-2}\)
Hope this helps!! :)
Please let me know if you have any questions
The value 2 approximate location on a number line
The number 2 will be located on the positive side of the number line.
What is a number line?
In mathematics, integers are placed in equal intervals on horizontal straight lines called as number lines. Any number in a series can be represented on a number line. This line's endpoints never come to a finish.
We are given that a number 2 has to be plotted on the number line.
Since, the number is greater than 0 so, it will be located on the positive side of the number line.
The number line has been shown below. The yellow point shows the location of the number 2.
Hence, the number 2 will be located on the positive side of the number line.
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Question: Approximate the location of the number 2 on the number line
Please Help I’m failing geometry and I need to pass this
Answer:
Angle F and Angle L
Step-by-step explanation:
Section 4 write a rational number for 2 out of 4 of the points on the number line? Pls help
Answer:
All the points to the right of 0 are rational
Step-by-step explanation:
rear above
Which three angle measures can be used to make ΔABC? Responses A 71°71° B 36°36° C 41°41° D 88°88° E 68°
The angles that can be used to make ΔABC are 71°, 41° and 68°
In this question, we have been given some angles.
A 71°71°
B 36°36°
C 41°41°
D 88°88°
E 68°
We need to find angles that can be used to make ΔABC.
We know that the sum of all angles of triangle is 180°
We need to find three angles whose sum is 180°
71° + 41° + 68° = 180°
Since the sum of angles 71°, 41° and 68° is 180°, we can use these angles to make ΔABC
Therefore, the angles that can be used to make ΔABC are 71°, 41° and 68°
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What is the ratio of classmates who like ham sandwiches to the number of classmates who like bologna and turkey sandwiches?
A
1:4
B
1:2
C
3:5
D
3:1
Answer: a
Step-by-step explanation:
Which grade is best in school?
A (C)
B (A-)
C (A)
D(B+)
I think its B+ because B stands for Best, and the + equals means advanced best I got it wrong, please help.
Answer:
I didn't know kindergardeners had Brainly.
Complete the following equations with the correct values.
sin(____) = cos(75)
cos(x) = sin(____-x)
Answer:
first blank: 15
second blank: 90
Step-by-step explanation:
Obviously, sin and cos are related, but they are not the same thing. In order for them to be equal:
sin(____) = cos(75)
the angles have to add up to 90 (complementary)
What + 75 is 90?
Do a tiny calc:
90 - 75 is 15
The second question is stating the rule generically.
x + (90 - x) is 90
what is the smallest numerical value that a poisson random variable can be?
A Poisson random variable represents the number of occurrences of an event in a fixed interval of time or space. It is a discrete random variable, which means that it can only take on integer values, starting from zero. Therefore, the smallest numerical value that a Poisson random variable can be is zero.
This means that there is a possibility that the event will not occur at all during the given interval. For example, if we are counting the number of customers who visit a store in an hour, it is possible that no customers show up during that hour, resulting in a Poisson random variable of zero.
However, the probability of this occurring depends on the average rate of the event occurring, which is denoted by the parameter λ in the Poisson distribution. The larger the value of λ, the smaller the probability of a Poisson random variable being zero.
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In this problem, you will investigate cylinders.
c. Describe which change affects the volume of the cylinder more: multiplying the height by x or multiplying the radius by x . Explain.
Multiplying the radius of a cylinder by x affects the volume of the cylinder more than multiplying the height by x.
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height of the cylinder. To determine which change affects the volume more, we can compare the effects of multiplying the height by x and multiplying the radius by x.
When we multiply the height of the cylinder by x, the effect on the volume is a proportional increase by a factor of x. This means that the volume will also increase by a factor of x.
On the other hand, when we multiply the radius of the cylinder by x, the effect on the volume is an increase by a factor of x^2. This is because the radius appears squared in the volume formula. So, multiplying the radius by x results in a greater impact on the volume compared to multiplying the height by x.
Therefore, multiplying the radius of a cylinder by x affects the volume more than multiplying the height by x. The change in the radius has a quadratic effect on the volume, while the change in the height has a linear effect on the volume.
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Find the algebraic fraction of x3y-2x2y2/2xy3-x
2y2
After factoring out the common term of xy from the numerator and denominator, the given algebraic fraction simplifies to \((x^2 - 2xy) / [(2y - x) y]\).
The given algebraic fraction is:
\((x^3y - 2x^2y^2) / (2xy^3 - x2y2)\)
To simplify the expression, we can factor out the common term of xy from both the numerator and denominator:
\((xy) (x^2 - 2xy) / (xy^2) (2y - x)\)
Now we can simplify further by canceling out the common factor of xy in the numerator and denominator:
\((x^2 - 2xy) / (2y - x) y\)
So the simplified form of the algebraic fraction is:
\((x^2 - 2xy) / (2y - x) y\)
To simplify an algebraic fraction, we want to find a way to write it in a form that is easier to work with. One common method is to factor out common terms in both the numerator and denominator. In this case, we can factor out xy from both the numerator and denominator, since it is a common factor in both.
Once we factor out xy, we can rewrite the algebraic fraction as:
\((xy) (x^2 - 2xy) / (xy^2) (2y - x)\)
Next, we can simplify further by canceling out the common factor of xy in the numerator and denominator. This leaves us with:
\((x^2 - 2xy) / (2y - x) y\)
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Which value would complete the table to make the relationhip between the two quantitie proportional?
x 1 2 3 4 5
y 26. 8 53. 6 ? 107. 2 134
The value that would complete the table to make the relationship between the two quantity proportional is 4.
what is quantity proportional?When two quantities are proportional, their relationship is constant for all values and as one quantity rises, the other rises as well.
A proportional relationship exists between two quantities if they can be written in the general form y = kx, where k is the proportionality constant. In other words, the ratio between these amounts never changes. In other words, no matter which pair of the two numbers you divide, you always obtain the same number k.
The value that would complete the table to make the relationship between the two quantity proportional is 4.
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simplify. 3(2x + 1)
a.7x
b.9x
c.6x+3
Answer:
C. 6x+3
Step-by-step explanation:
Because 3 is outside of the parentheses so it has to multiply everything inside the parentheses.
3*2x is 6x.
3*1 is 3.
This results in 6x+3.
Step-by-step explanation:
C.6x+3 thats tge answer
in general, the strictest standards with the lowest acceptable levels are the
Answer:
Step-by-step explanation:
are the what???
Find the inverse Laplace transform of: 32 points (16 points each) (a) F(s) a) F0=1. 1 1 + S S +3 S? S-3 (b) F(S) = s(s - 1)(s +2)
Taking the inverse Laplace transform of each term using the table of Laplace transforms, we get: f(t) = -1/2 + 2e^t
(a) To find the inverse Laplace transform of F(s) = 1/(s+1)(s+3)(s-3), we can use partial fraction decomposition as follows:
1/(s+1)(s+3)(s-3) = A/(s+1) + B/(s+3) + C/(s-3)
Multiplying both sides by (s+1)(s+3)(s-3), we get:
1 = A(s+3)(s-3) + B(s+1)(s-3) + C(s+1)(s+3)
Expanding and equating coefficients of s^2, s and the constant term, we get:
A = 1/24
B = -1/8
C = 1/24
Therefore, we have:
F(s) = 1/24(s+1) - 1/8(s+3) + 1/24(s-3)
Taking the inverse Laplace transform of each term using the table of Laplace transforms, we get:
f(t) = 1/24(e^(-t) - e^(-3t)) - 1/8e^(-3t) + 1/24e^(3t)
(b) To find the inverse Laplace transform of F(s) = s(s-1)(s+2), we can use partial fraction decomposition as follows:
s(s-1)(s+2) = As^2 + Bs + C
Multiplying both sides by (s-1)(s+2), and setting s=0, 1, and -2, we get:
C = 0
-2A + 2B = -2
2A + B = 1
Solving for A and B, we get:
A = -1/2
B = 2
Therefore, we have:
F(s) = -1/2s + 2/(s-1)
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if two variables have a positive correlation coefficient, which of the following is true? the values of one variable are independent from the values of the other. larger values of one variable are associated with larger values of the other. smaller values of one variable are not associated with smaller values of the other. larger values of one variable are associated with smaller values of the other.
If two variables have a positive correlation coefficient, larger values of one variable are associated with larger values of the other. (Option 2)
A correlation coefficient measures the strength and direction of the linear relationship between two variables. A positive correlation coefficient indicates that as the values of one variable increase, the values of the other variable also tend to increase. Similarly, as the values of one variable decrease, the values of the other variable also tend to decrease.
Therefore, if two variables have a positive correlation coefficient, larger values of one variable are associated with larger values of the other. Conversely, smaller values of one variable are associated with smaller values of the other. This means that the variables are not independent from each other and that they tend to move together in the same direction.
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Complete Question:
if two variables have a positive correlation coefficient, which of the following is true?
the values of one variable are independent from the values of the other. larger values of one variable are associated with larger values of the other. smaller values of one variable are not associated with smaller values of the other. larger values of one variable are associated with smaller values of the other.Can someone help me? Picture attached
Answer:
6 units
Step-by-step explanation:
You want the length of the hypotenuse of a right triangle with legs 5 and √11.
Pythagorean theoremThe Pythagorean theorem tells you the relation between the legs a, b, and the hypotenuse c of a right triangle is ...
c² = a² +b²
c² = 5² +(√11)²
c² = 25 +11 = 36
c = √36 = 6
The length of the third side is 6 units.
a die is rolled twice and the sum of numbers appearing on the upper faces of them is observed to be 7. what is the probability that the number 2 has appeared atleast once? hint: use the concept of conditional probability)
The probability of getting at least one 2 given that the sum of the numbers is 7 is 2/6 or 1/3.
To find the probability that the number 2 has appeared at least once given that the sum of the numbers is 7, we need to use the concept of conditional probability.
Let's consider the possible outcomes when two dice are rolled. The total number of outcomes is 36, as each die has six possible outcomes.
Out of these 36 outcomes, there are six outcomes in which the sum of the numbers appearing on the upper faces is 7. These outcomes are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).
Out of these six outcomes, there are two outcomes in which the number 2 appears at least once: (1,6) and (2,5).
We can use the formula for conditional probability to verify our answer:
P(2 appears at least once | sum is 7) = P(2 appears at least once and sum is 7) / P(sum is 7)
P(2 appears at least once and sum is 7) = 2/36 = 1/18 (as there are two outcomes with a sum of 7 that have a 2 in them)
P(sum is 7) = 6/36 = 1/6
So, P(2 appears at least once | sum is 7) = (1/18) / (1/6) = 1/3, which is consistent with our previous answer.
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How to write four hundred seven million six thousand nine hundred and sixty two?
Answer:
470,006,962
hope this helped :)
Answer:
407,006,962
you can check it on the internet ;)
given the growth population model 12000/3+e^-.02(t), what is the initial population and what is the maximum population?
The initial population for this model is 12,000 and the maximum population is 24,000. The equation 12000/3+e^-.02(t) is used to model population growth.
The initial population and maximum population can be found by examining the growth population model.
The initial population is represented by the term before the exponential function, which in this case is 12000/3. This means that the initial population is 4000.
The maximum population is represented by the term in the denominator of the fraction with the exponential function. In this case, the maximum population is 3. This means that the population will never exceed 3, even as time (t) increases.
In conclusion, the initial population is 4000 and the maximum population is 3 according to the given growth population model.
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glen sarin is a photographer who is wondering if there is an association between the number of photographs she takes and percent cloud coverage. her record is shown in the scatterplot. how many photographs did she take when the cloud coverage was 4 percent or less?
When the cloud coverage was 4 percent or less, Glen Sarin took approximately 45 photographs.
Glen Sarin, the photographer, wonders if there is a correlation between the percentage of cloud cover and the number of photographs she captures. She maintains a record that is depicted in the scatterplot below.
When the cloud coverage was 4 percent or less, how many photographs did she take?We can observe that, as the percentage of cloud cover increases, the number of photographs taken by Glen Sarin decreases. As per the scatterplot,
This can be done by reading the point where the 4% line of cloud cover intersects with the line of best fit and drawing a line perpendicular to the x-axis to see what is the corresponding y-value (which represents the number of photographs)
This can be interpreted as follows: the scatterplot shows a negative correlation between the percentage of cloud cover and the number of photographs taken.
This indicates that as the percentage of cloud cover increases, the number of photographs taken decreases. Glen Sarin may use this information to make informed decisions about when and where to photograph.
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Help asap pls!!!!!!!!!
Answer:
The answer is Y. AY = YC therefore it has to be Y.
Step-by-step explanation:
Pls can I have the workings too
Answer:
\(\frac{(3-2a)}{a^2}\)
Step-by-step explanation:
Given expression is,
\(\frac{3}{a^2}- \frac{2}{a}\)
First equalize the denominators of the fractions,
\(\frac{3}{a^2}-\frac{2a}{a^2}\)
Now combine the fraction as a single fraction,
\(\frac{(3-2a)}{a^2}\)
Since, we can not solve this fraction further, this will be simplified form of the given expression.