Answers
To convert the first equation into he second equation, we need to multiply by -2 b:
\(undefined\)Related Questions
A line has a slope of -3 and a y-intercept of 3. 6 LO 2 1 -5 4 3 2 1 2 3 4 5 -1 LL What is the x-intercept of the line? -9
Answers
The genral equation of a line is y=mx+c.
Here, m is the slope and c is the y intercept.
Put -3 for m and 3 for c in the equation implies,
\(y=-3x+3\)Put y as 0 to find the x intercept.
\(undefined\)What are the coordinates of the image of the point (-4,-5) after reflecting over the y-axis
Answers
So, the coordinates of the image of the point (-4,-5) after reflecting over the y-axis are:
x-coordinate: -4 (remains the same)
y-coordinate: 5 (becomes the opposite of the original y-coordinate, -5)
Therefore, the coordinates of the image are (-4, 5).
(1 point)
The number of eggs that a female house fly lays during her lifetime is normally distributed with mean 790 and standard deviation 92.
Random samples of size 98 are drawn from this population, and the mean of each sample is determined. What is the probability that
the mean number of eggs laid would differ from 790 by less than 30? Round your answer to four decimal places.
Answers
Answer:
0.9988 = 99.88% probability that the mean number of eggs laid would differ from 790 by less than 30.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean 790 and standard deviation 92.
This means that \(\mu = 790, \sigma = 92\)
Samples of 98
This means that \(n = 98, s = \frac{92}{\sqrt{98}}\)
What is the probability that the mean number of eggs laid would differ from 790 by less than 30?
This is the pvalue of Z when X = 790 + 30 = 820 subtracted by the pvalue of Z when X = 790 - 30 = 760. So
X = 820
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{820 - 790}{\frac{92}{\sqrt{98}}}\)
\(Z = 3.23\)
\(Z = 3.23\) has a pvalue of 0.9994
X = 760
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{760 - 790}{\frac{92}{\sqrt{98}}}\)
\(Z = -3.23\)
\(Z = -3.23\) has a pvalue of 0.0006
0.9994 - 0.0006 = 0.9988
0.9988 = 99.88% probability that the mean number of eggs laid would differ from 790 by less than 30.
Figure A is similar to Figure B. What must always be true?
a.
The corresponding side lengths of A and B are proportional.
c.
The corresponding side lengths of A and B are equal.
b.
The corresponding side lengths of A are twice the corresponding side lengths of B.
d.
The corresponding side lengths of A are half the corresponding side lengths of B.
Answers
Option (a) is the correct answer. When two figures are similar, it means they have the same shape but different sizes.
How to solve the question?
In other words, their corresponding angles are congruent, and their corresponding side lengths are proportional.
Option (b) and (d) suggest that the corresponding side lengths of A and B are related by a constant factor (either 2 or 1/2). However, this is not necessarily true for all similar figures. The constant of proportionality can be any positive real number.
Option (c) suggests that the corresponding side lengths of A and B are equal, which means that A and B are not just similar but congruent. This is not necessarily true for all similar figures, as similar figures can differ in size.
Therefore, option (a) is the only answer that must always be true for similar figures. The corresponding side lengths of similar figures are proportional, which means that if one side of figure A is twice as long as a corresponding side of figure B, then all other corresponding sides will also be in the same ratio of 2:1. Similarly, if one side of figure A is three times as long as a corresponding side of figure B, then all other corresponding sides will also be in the same ratio of 3:1. This proportional relationship holds true for all pairs of corresponding sides in similar figures
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Option (a) is the correct answer. The corresponding side lengths of A and B are proportional, must always be true if Figure A is similar to Figure B.
How to find if the figure is similar?When two figures are similar, their corresponding angles are congruent, and their corresponding side lengths are proportional. This means that if we take any two corresponding sides of the figures, the ratio of their lengths will be the same for all pairs of corresponding sides.
Option b and d cannot be true, as they both suggest a specific ratio of corresponding side lengths, which is not necessarily true for all similar figures.
Option c is not necessarily true, as two similar figures can have corresponding side lengths that are not equal but still have the same ratio.
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The diagram shows a triangle.
31° / 6x / x+16°
What is the value of x?
Answers
Step-by-step explanation:
31 + 6x + x + 16 = 180
7x + 47 = 180
7x = 180 - 47
x = 133/7
x = 19
6. Mrs. Ramirez' groceries cost $50 before tax, and the total including sales tax was $55. What is
the sales tax rate that Mrs. Ramirez paid?
Answers
Answer:sales tax rate would be 0.1
using the formula
Sales tax rate = Sales tax percent / 100
help please it's due tomorrow
Answers
\( \{ \: \alpha \: , \: \beta , \: a, \: b \}\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{n} \)
where, n denotes to number of elements in set .
Since, given set contains 4 elements .
Thus , 2⁴ {2 raise to power 4} .
\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{4} \)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 2 \times 2 \times 2 \times 2\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 4 \times 4\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 16\)
Therefore, Required subsets are 16.
They are , Namely;
\( \sf \longrightarrow \: subsets \: = \phi \: \{ \alpha \} \{ \beta \} \{ a\} \{ b\} \: \{ \alpha \beta \} \{ \alpha a\} \{ \alpha b\} \{ \beta a\} \{ \beta b\} \: .....\)
_____________________________
Additional Information:-If n is the number of elements in the set then,
No. of subsets possible for this subset is 2^n that's the (2 raise to the power n).
Let's take another example, {1,2}
Here, n = 2
subsets =2^2 =4
Subsets = ϕ, {1}, {2},{1,2}
Note :- every set is a subset of itself i.e. {1,2} and ϕ is a subset of every set
Franco, Ivanna, and Esther bought school supplies.
Each person spent between $8 and $13.
Franco bought 6 items.
Ivanna bought 3 items.
Esther bought 4 items.
The prices of the items are given below. Drag items to each box to show what each person could have bought.
Answers
So I think I had this for Imagine Math, so here is what I got :D;
Franco (6 items): 6 notebooks = 1.89+1.89+1.89+1.89+1.89+1.89= 11.34
Ivanna (3 items): 1 colored thingy + 2 sharped thingy = 4.29+2.45+2.45= 9.19
Esther (4 items): 1 colored thingy + notebook + sharpened thingy = 1.89+2.45+0.54+4.29= 9.17
I really hope this helps :DDDDDDDD
Pls help I’ll mark brainliest!!
Answers
Answer:
Answer is explained in the photo
3.) Determine the percent of change. Round to the
nearest whole percent if necessary. State whether the
percent of change is an INCREASE or DECREASE.
Original: $84
New: $100
Answers
Answer:
is 84
Step-by-step explanation:
why aronou much and yes so many sorry
2. Is this a graph of a function? Explain your reasoning.
y
6
4
2
2
4
6
8
X
Answers
This is not the graph of a function because there are two different values of \(y\( when \(x=2\).
Question 1 of 10
What is the approximate distance between the points (-3,-4) and (-8, 1) on a
coordinate grid?
O A. 11.40 units
OB. 12.08 units
O C. 7.07 units
D. 3.16 units
Answers
Answer:
Step-by-step explanation:
Answer:
the approximate distance between the points is
√25+25 = 5√2
=7.07
Step-by-step explanation:
so can u help me guys
Answers
Thus, 715,000 = 7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.
Explain about the scientific notations:The number of times that decimal point must be moved to obtain a number between 1 and 10 is the exponent in scientific notation. The decimal point is shifted to the left in order to represent this number in scientific notation.
The main goal of scientific notation is to simplify computations using numbers that are abnormally large or small. With scientific notation, every digit counts because zeros are just no longer used to denote the decimal point.
Given expression:
715,000 __ 7.15 x 10⁵
LHS = 715,000
Take the RHS value :
= 7.15 x 10⁵
This, can be simplifies as:
= 7.15 x 100,000
Now multiply the two values,
= 715,000 (RHS values)
as, LHS = RHS
LHS = 715,000
715,000 (RHS values)
Thus, 715,000 = 7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.
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A school supervisor wants to determine the percentage of students that bring their lunch to school. What method would assure random selection of a sample population?
Answers
To assure the random selection of a sample population for determining the percentage of students who bring their lunch to school, a method known as simple random sampling can be employed.
Simple random sampling is a technique that provides each member of the population an equal chance of being selected for the sample. Here's an explanation of how simple random sampling can be implemented in this scenario:
Define the population: The school supervisor needs to clearly define the population of interest, which would be all the students in the school.Assign a unique identifier: Each student should have a unique identifier, such as a student ID number, to differentiate them from one another.Generate a sampling frame: A sampling frame is a list of all the unique identifiers of the students. This could be obtained from the school's records or databases.Determine the sample size: The school supervisor needs to decide on the desired sample size, ensuring it is representative of the population while being practical to manage.Use a random selection method: Employ a random selection method, such as using a random number generator or a random number table, to select the required number of unique identifiers from the sampling frame.Contact selected students: Once the sample has been selected, the chosen students can be contacted to participate in the survey or data collection regarding whether they bring their lunch to school.know more about percentage here:
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Find the distance between the point (5,12) and the line y = 5x + 12 (rounded to the nearest hundredth).
A. 1.36 units
B. 2.19 units
C. 4.81 units
D. 4.90 units
Answers
The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units
How to find the distance between a point and a line?
If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0
Then the distance of a point from the line is given by the formula:
d = (ax₁ + by₁ + c) / √(a² + b²)
Given: the point (5,12) and the line y = 5x + 12. The line can be written as
5x-y+12 = 0. Thus:
x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:
d = (ax₁ + by₁ + c) / √(a² + b²)
d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)
d = 25/√26 = 4.90 units
Therefore, the distance between the point and the line is 4.90 units. Option D is the answer
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I6
Researchers measured the data speeds for particular smartphone carrier at 50 airports. The highest speed measured was
75.5 Mbps. The complete list of 50 data speeds has a mean of ) 15.59 Mbps and a standard deviation of s = 23.85 Mbps.
What is the difference between carrier's highest data speed and the
mean of all 50 data speeds?
b. How many standard deviations is that [the difference found in part (a)]?
. Convert the carrier's highest data speed to a z score.
d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high,
is the carrier's highest data speed significant?
Answers
Answer:
66 es pero que te ayude ■■♤♤
Need help on finding g .
Answers
The numeric values for this problem are given as follows:
g(-1) = -2.g(2) = 0.g(3) = 0.5.How to obtain the numeric values of the function?The function in this problem is a piecewise function, meaning that it has different definitions based on the input x of the function.
For x between -2 and 2, the function is defined as follows:
g(x) = -(x - 1)² + 2.
Hence the numeric value at x = -1 is given as follows:
g(-1) = -(-1 - 1)² + 2 = -4 + 2 = -2.
For x at x = 2 and greater, the function is given as follows:
g(x) = 0.5x - 1.
Hence the numeric values at x = 2 and x = 3 are given as follows:
g(2) = 0.5(2) - 1 = 0.g(3) = 0.5(3) - 1 = 0.5.A similar problem, also featuring numeric values of a function, is given at brainly.com/question/28367050
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A manager wants to gauge employee satisfaction at a company. She hands out a survey questionnaire to everyone in the human resources
department who were hired in the past two years. The employees must respond to the questionnaire within five days.
What type of bias are the survey results at risk for?
OA. The survey results are not at risk for any bias.
OB.
The survey results are most at risk for undercoverage.
Ос. The survey results are at risk for nonresponse bias and undercoverage.
OD
The survey results are most at risk for nonresponse bias.
Answers
PLEASE HELP I'M DESPERATE
Answer the question below.
Solve the equation -22 = q + 7(2q - 1)
and verify the solution. Show all work.
Answers
The solution of the equation -22 = q + 7(2q - 1) is as follows:
q = -1How to solve equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Let's solve the equations as follows:
-22 = q + 7(2q - 1)
The variable in the equation is q. A variable is an letter use to represent number in an equation.
-22 = q + 7(2q - 1)
-22 = q + 14q - 7
-22 = 15q - 7
add 7 to both sides of the equation
-22 + 7 = 15q - 7 + 7
-15 = 15q
divide both sides by 15
q = -15 / 15
q = -1
Therefore,
q = -1
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Answer:
-22 = q + 7(2q - 1)
-22 = q + 14q - 7
-22 = 15q - 7
add 7 to both sides of the equation
-22 + 7 = 15q - 7 + 7
-15 = 15q
divide both sides by 15
q = -15 / 15
q = -1
Step-by-step explanation:
Identify the correct graph of the system of equations.
3x + y = 12
x + 4y = 4
Answers
Let's solve the system of equations:
1. 3x + y = 12
2. x + 4y = 4
We can solve this system of equations using various methods such as substitution or elimination. Let's use the elimination method here:
Multiply equation 1 by 4 and equation 2 by 1 to eliminate the y term:
1. 12x + 4y = 48
2. x + 4y = 4
Now, subtract equation 2 from equation 1:
12x + 4y - (x + 4y) = 48 - 4
Simplifying:
11x = 44
Divide both sides by 11:
x = 4
Substitute the value of x into equation 2 to solve for y:
4 + 4y = 4
4y = 4 - 4
4y = 0
y = 0
Therefore, the solution to the system of equations is x = 4 and y = 0.
The correct graph of this system of equations would be two lines intersecting at the point (4, 0) on the coordinate plane.
To estimate the average education level, in years, of residents in a certain county, a marketing team draws a random sample of 100 residents. Their education level averages to about 12.5 years; the standard deviation is about 2.8 years. The team estimates the average education level of all the residents of that county to be 12.5 years with what margin of error, for approximately 90% confidence?
Answers
Answer:
The margin of error is \(E = 0.4606 \)
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The sample mean is \(\= x = 12.5 \ years\)
The standard deviation is \(\sigma = 2.8 \ years\)
From the question we are told the confidence level is 90% , hence the level of significance is
\(\alpha = (100 - 90 ) \%\)
=> \(\alpha = 0.10\)
Generally from the normal distribution table the critical value of \(\frac{\alpha }{2}\) is
\(Z_{\frac{\alpha }{2} } = 1.645\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)
=> \(E =1.645* \frac{ 2.8 }{\sqrt{100} }\)
=> \(E = 0.4606 \)
Find the distance and midpoint between (3,6) and (5,11)
Answers
Answer:
((3+5)/2,(6+11)/2)=(4,8.5)
-3x^2-168 solve the quadratic equation
Answers
Answer:
\(x=+2i\sqrt{14}\ \ \,x=-2i\sqrt{14}\)
Step-by-step explanation:
\(-3x^2-168\)
The first step in solving this equation is the factor, remove a factor that both the quadratic and constant term have in common. In this case, such a term would be (-3),
\(-3(x^2+56)\)
Now set the equation equal to zero so that one can use the zero product property. The zero product property states that any number times zero equals zero.
\(-3(x^2+56)=0\)
Solve, use inverse operations,
\(x^2+56=0\)
\(x^2=-56\)
One cannot take the square root of a negative number and get a real result, thus the result is an imaginary number.
\(x=\sqrt{-56}\)
Simplify, remove whole factors from under the radical,
\(x=+-2i\sqrt{14}\)
This is a picture of a cube and the net for the cube.
What is the surface area of the cube?
Responses
30 cm²
30 cm²
70 cm²
70 cm²
125 cm²
125 cm²
150 cm²
150 cm²
A cube and a net of the cube are shown. The edge length of the cube is labeled 5 centimeters. The net consists of 4 squares connected vertically, and 1 square is attached to the left of the third square and 1 square is attached to the right of the third square. One square in the net is labeled with a side labeled 5 centimeters.
Answers
The surface area of the cube is 1536 ft².
We have,
The cube can be seen as 6 square areas in the net.
So,
The surface area of the cube.
= 6 x area of one square surface.
Now,
Side = 16 ft
Area of one square surface.
= side²
= 16²
= 256 ft²
Now,
The surface area of the cube.
= 6 x area of one square surface.
= 6 x 256
= 1536 ft²
Thus,
The surface area of the cube is 1536 ft².
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What is the common denominator of x+5/x+8 =1+6/x+1
Answers
using the line of best fit
Answers
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
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HELPPPP MEEE
5x-7+3x and 3x-7+5x
equivalent or not equivalent
4y+9+3y and 3y+9+4y
equivalent or not equivalent
6z-2z+4 and 4+2z-6z
equivalent or not equivalent
Answers
Answer: See explanation
Step-by-step explanation:
1. 5x-7+3x and 3x-7+5x
5x - 7 + 3x
Collect like terms
5x + 3x - 7 = 8x - 7
3x-7+5x
Collect like terms
3x + 5x - 7 = 8x - 7
They're equivalent
2. 4y+9+3y and 3y+9+4y
4y + 9 + 3y
Collect like terms
4y + 3y + 9 = 7y + 9
3y + 9 + 4y
Collect like terms
3y + 4y + 9 = 7y + 9
They're equivalent
3. 6z-2z+4 and 4+2z-6z
6z - 2z + 4 = 4z + 4
4 + 2z - 6z = 4 - 4z
They're not equivalent
Solve the problem:
Kiram has 5 ziploc bags. He puts an equal number of marbles (X). Then he realized that he
needed to add 2 more marbles for each bag. If the total number of marbles is 30 how many
marbles in each bag?
Answers
Answer:
Step-by-step explanation:
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Proportionality yes or no - show work
X y
____ ____
6 -2
7 -1
8 0
9 1
Answers
No, the relationship on the table is not proportional
How to determine if the relationship is proportionalFrom the question, we have the following parameters that can be used in our computation:
x y
____ ____
6 -2
7 -1
8 0
9 1
On the table of values, we can see that:
The values of x increase by 1 i.e. 6, then 7, then 8 and finally 9 As these values of x increase by 1, the values of y increase by 1 also i.e. -2, then -1, then 0 and finally 1Using the above as a guide, we have the following:
The relationship is not a proportional relationship
This is so because it does not have a constant rate (addition of 1 to x and y does not represent proportional relationship)
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The average breaking strength of a certain brand of steel cable is 2000 pounds, with a standard deviation of 100 pounds. A sample of 20 cables is selected and tested. Find the sample mean that will cut off the upper 95% of all samples of size 20 taken from the population. Assume the variable is normally distributed.
Answers
Answer:
1963.2 pounds (lbs.)
Step-by-step explanation:
Things to understand before solving:
- Normal Probability DistributionThe z-score formula can be used to solve normal distribution problems. In a set with mean ц and standard deviation б, the z-score of a measure X is given by: \(Z=\frac{X-u}{a}\)The Z-score reflects how far the measure deviates from the mean. After determining the Z-score, we examine the z-score table to determine the p-value associated with this z-score. This p-value represents the likelihood that the measure's value is less than X, or the percentile of X. Subtracting 1 from the p-value yields the likelihood that the measure's value is larger than X.
- Central Limit TheoremThe Central Limit Theorem establishes that, for a normally distributed random variable X, with mean ц and standard deviation б , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean ц and standard deviation \(s=\frac{a}{\sqrt{n} }\)As long as n is more than 30, the Central Limit Theorem may be applied to a skewed variable. A specific kind of steel cable has an average breaking strength of 2000 pounds, with a standard variation of 100 pounds.
This means, ц = 2000 and б = 100.
A random sample of 20 cables is chosen and tested.
This means that n = 20, \(s=\frac{100}{\sqrt{120} } =22.361\)
Determine the sample mean that will exclude the top 95 percent of all size 20 samples drawn from the population.
This is the 100-95th percentile, or X when Z has a p-value of 0.05, or X when Z = -1.645. So \(Z=\frac{X-u}{a}\)
By the Central Limit Theorem\(Z=\frac{X-u}{a} \\-1.645=\frac{X-2000}{22.361} \\X-2000=-1.645*22.361\)
\(X =1963.2\)
Answer:The sample mean that will cut off the top 95% of all size 20 samples obtained from the population is 1963.2 pounds.