Answer:
The answer is A
Step-by-step explanation:
If you do (x-3)(x-7) you get x^2 - 10x + 21
The perpendicular bisectors of ABC meet at point G. If BG=27and AG=13+7x, solve for x.
Answer:
x = 2
Explanation:
Given:
BG = 27
AG = 13 + 7x
Note that when three perpendicular bisectors of the sides of a triangle meet at a point, the point is called a Circumcenter.
Also, note that the Circumcenter is equidistant from the vertices of the triangle.
So for the given triangle, G is the circumcenter, and AG = BG = CG.
Let's go ahead and solve for x as seen below;
\(\begin{gathered} BG=AG \\ 27=13+7x \end{gathered}\)Let's subtract 13 from both sides of the equation, we'll have;
\(\begin{gathered} 27-13=13-13+7x \\ 14=7x \end{gathered}\)Let's divide both sides by 7;
\(\begin{gathered} \frac{14}{7}=\frac{7x}{7} \\ 2=x \\ \therefore x=2 \end{gathered}\)So the value of x is 2
pls hurry; 10 pts The first equation in the following system gives a company's income, in dollars, for selling x baseball caps. The second equation gives the cost of making x baseball caps. y = 8x y = -0.01 x2 + 4x + 3,200 The solution of the system is (400, 3,200). How would you interpret this solution?
Answer: The cost to make 400 baseball caps is $3,200
Step-by-step explanation:
The answer they gave you is a set of coords, x and y coords to be exact. That means that x value is inputed into the equation and that y value is the asnwer.
You put in 400, you get 3200.
They also gave us that x equals the number of baseball caps. Then y equals the cost of making those baseball caps
Answer:
The cost to produce 400 caps is the same as the income made from selling 400 caps.
The company will break even when it sells 400 caps; it will not make a profit.
Step-by-step explanation:
EDGE 2021
v=1.34√x
find the inverse
Answer:
There is no inverse. To solve for Inverse you have to interchange the varibles and solve for y
Step-by-step explanation:
i^25
explain please
Answer:
Step-by-step explanation:
1.step. i^25^i
2.step. Rewrite (i^4)6^i=i^4
3.step. Rewrite (i^2)^2
4.step. ((i^2)^2)^6i
5.step. i^2 as -1
6.step. ((-1)^2)^6i
7.step. Raise −1 to the power of 2
i^6i
8.step.One to any power is one.
i1
9.step.Multiply i by 1.
ix1=i
Aight so I got a grade of 44% on my module 6 exam... the assignment is worth 80 points and my grade is a 94.45%. I'm waiting on 2 unfinished essays. How much will this bring down my grade?
Answer:
It depends how many points you already have
Step-by-step explanation:
how much are the essays worth? i might be able to get your final score if you tell me
Julio says,"If you subtract 15 from my number and multiply the difference by -7,the result is -175." What is Julios number
Answer: 40
Step-by-step explanation:
Assume Julio's number is x.
The expression would be:
-7 * (x - 15) = -175
x - 15 = -175/-7
x = -175/-7 + 15
x = 40
whats the diffrence of (6d + 5) - (2 - 3d)
The difference of (6d + 5) - (2 - 3d) is 9d + 3.
What is subtraction?The action of subtracting a matrix, vector, or other quantity from another according to predetermined rules in order to find the difference.
Given expression:
(6d + 5) - (2 - 3d)
Calculate the difference as shown below,
= 6d + 5 - 2 + 3d
= 9d + 3
Therefore, the difference of (6d + 5) - (2 - 3d) is 9d + 3.
To know more about subtraction:
https://brainly.com/question/28008319
#SPJ1
solve the proportion b+4/5=7/4
Step-by-step explanation:
When adding or subtracting fractions, they must have a common denominator....20 is the easiest for these...this then becomes
b + 16/20 = 35/20 now subtract 16/20 from both sides of the equation
b = 35/20 - 16/20
b = (35-16)/20 = 19/20
What is true when a system of equations has infinitely many solutions?
A:This is impossible.
B:The lines coincide (are the same line).
C:The lines intersect in one place.
D:The lines are parallel and do not intersect.
what is the critical value of a one-tailed t-test with a degrees of freedom of df=8 and using an alpha level of .01. fill in the blank with the probability rounded to the nearest hundredth (ex: 5.24).
The critical value of a one-tailed t-test with degrees of freedom of 8 and using an alpha level of 0.01 is approximately 2.896.
How to find the critical value of a one-tailed t-test?To find the critical value of a one-tailed t-test with degrees of freedom (df) = 8 and an alpha level of 0.01, follow these steps:
1. Identify the degrees of freedom (df): In this case, df = 8.
2. Determine the alpha level: Here, the alpha level is 0.01.
3. Check a t-distribution table for the critical value corresponding to the given degrees of freedom and alpha level.
Using a t-distribution table, the critical value for a one-tailed t-test with df = 8 and an alpha level of 0.01 is approximately 2.896.
Your answer: The critical value of a one-tailed t-test with degrees of freedom of 8 and using an alpha level of 0.01 is approximately 2.896.
Learn more about one-tailed t-test
brainly.com/question/30818311
#SPJ11
On a coordinate plane, a line goes through (negative 5, negative 4) and (0, negative 3). a point is at (negative 2, 2). what is the equation of the line that is parallel to the given line and passes through the point (â€"2, 2)? y = one-fifthx 4 y = one-fifthx twelve-fifths y = â€"5x 4 y = â€"5x twelve-fifths
The equation of the line is 5x + y = 12.
What is meaning of coordinate plane?
Two number lines combine to generate the two-dimensional surface known as the coordinate plane. The x-axis is a single horizontal number line. The y-axis is the name of the vertical number line that is the other number line. The origin is where the two axes come together. The coordinate plane can be used to graph points, lines, and other things.
Given that a line passes through the point (-5, -4) and (0, -3).
The slope of the line is = ( - 3 -(-4))/(0- (-5)) = 1/5
Since the required line is parallel to the above line, the slope of the required line is = - 1/( 1/5) = -5
The equation of line passes through points (x₁, y₁) and slope is m is
y - y₁ =m(x - x₁)
Putting m = -5 and x₁ = -2 and y₁ = 2:
y - 2 = -5( x- (-2))
y -2 = -5x +10
5x + y =12
To learn more about equation of line, click on below link:
https://brainly.com/question/14200719
#SPJ4
when summarizing heavily skewed data, the best measure of central tendency is:
When summarizing heavily skewed data, the best measure of central tendency is the median.
In situations where the data distribution is heavily skewed, the mean may not accurately represent the central tendency of the data. Skewness refers to the asymmetry of the data distribution, where the tail of the distribution extends more to one side. When data is heavily skewed, it can be influenced by extreme values, leading to an unbalanced representation of central tendency if the mean is used.
The median, on the other hand, is less affected by extreme values and provides a better measure of central tendency for skewed data. The median represents the middle value in a data set when the observations are arranged in ascending or descending order. Unlike the mean, it is not influenced by extreme values, making it a robust measure for summarizing skewed data.
By using the median, we can capture the central value that is more representative of the majority of the data points, even in the presence of outliers or skewed distributions. It provides a better understanding of the typical value or position within the data set, regardless of extreme values or asymmetric distributions.
Therefore, when summarizing heavily skewed data, the median is considered the best measure of central tendency as it provides a more accurate representation of the center of the distribution and is less influenced by extreme values.
Learn more about median here:
https://brainly.com/question/11237736
#SPJ11
Somebody help me out please
Answer:
the correct answer is d.
Step-by-step explanation:
i hope this helps :)
Answer:
D.
Step-by-step explanation:
The line crosses the x-axis at 4 and the y-axis at -2.
Answer: D.
A random variable follows a binomial distribution with a probability
of success equal to 0.66. For a sample size of n = 6, find the
values below.
a. the probability of exactly 4 successes
b. the probability of 5 or more successes
c. the probability of exactly 6 successes
d. the expected value of the random variable
a. The probability of exactly 4 successes is approximately 0.2967.
b. The probability of 5 or more successes is approximately 0.5332.
c. The probability of exactly 6 successes is approximately 0.1399.
d. The expected value of the random variable is 3.96
To solve these problems, we'll use the binomial probability formula:
P(X = k) = C(n, k)× \(p^{k}\)× \((1-p)^{(n-k)}\)
where:
P(X = k) is the probability of getting exactly k successes,
n is the sample size,
p is the probability of success,
C(n, k) is the number of combinations of n items taken k at a time.
Now let's solve each part of the problem:
a. The probability of exactly 4 successes:
P(X = 4) = C(6, 4) × (0.66)⁴ × (1 - 0.66)⁽⁶⁻⁴⁾
C(6, 4) = 6! / (4! × (6 - 4)!) = 6! / (4! × 2!) = (6 × 5) / (2 × 1) = 15
P(X = 4) = 15 × (0.66)⁴ × (0.34)² ≈ 0.2967 (rounded to four decimal places)
b. The probability of 5 or more successes:
P(X ≥ 5) = P(X = 5) + P(X = 6)
P(X = 5) = C(6, 5) × (0.66)⁵ × (1 - 0.66)⁽⁶⁻⁵⁾ = 6 × (0.66)⁵ × (0.34)¹ ≈ 0.3933
P(X = 6) = C(6, 6) × (0.66)⁶ × (1 - 0.66)⁽⁶⁻⁶⁾ = 1 × (0.66)⁶× (0.34)⁰ = 0.1399
P(X ≥ 5) = P(X = 5) + P(X = 6) = 0.3933 + 0.1399 ≈ 0.5332 (rounded to four decimal places)
c. The probability of exactly 6 successes:
P(X = 6) = C(6, 6) × (0.66)⁶ × (1 - 0.66)⁽⁶⁻⁶⁾ = 1 × (0.66)⁶ × (0.34)⁰= 0.1399
d. The expected value of the random variable:
The expected value (mean) of a binomial distribution is given by:
E(X) = n × p
E(X) = 6 × 0.66 = 3.96
Therefore:
a. The probability of exactly 4 successes is approximately 0.2967.
b. The probability of 5 or more successes is approximately 0.5332.
c. The probability of exactly 6 successes is approximately 0.1399.
d. The expected value of the random variable is 3.96
Learn more about binomial distribution here:
https://brainly.com/question/29137961
#SPJ11
6. Solve for x: please explain
Answer:
5
Step-by-step explanation:
the angles need to add up to 180
60 + 40 =100
180 - 100 =80
80 - 5 =75
75/15 =5
According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 68 inches and a standard deviation of 2.3 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 68 2.3 or or b. Find the probability that the person is between 66 and 69.5 inches. c. The middle 20% of Martian heights lie between what two numbers? Low: inches High: inches
The middle 20% of Martian heights lie between approximately 65.0867 inches and 70.9133 inches.
a. The distribution of X, the height of Martian adult males, is normally distributed with a mean (μ) of 68 inches and a standard deviation (σ) of 2.3 inches. Therefore, the distribution of X can be represented as X ~ N(68, 2.3²) or X ~ N(68, 5.29).
b. To find the probability that the person's height is between 66 and 69.5 inches, we need to calculate the area under the normal distribution curve between these two values.
Using the z-score formula: z = (x - μ) / σ
For x = 66 inches:
z1 = (66 - 68) / 2.3 ≈ -0.8696
For x = 69.5 inches:
z2 = (69.5 - 68) / 2.3 ≈ 0.6522
Now, we need to find the area under the normal distribution curve between z1 and z2. We can use a standard normal distribution table or a calculator to find these probabilities.
Using a standard normal distribution table, the probability for z between -0.8696 and 0.6522 is approximately 0.6968.
Therefore, the probability that the person's height is between 66 and 69.5 inches is approximately 0.6968.
c. The middle 20% of Martian heights means we need to find the range of heights that encompasses the central 20% of the distribution.
To find the range of heights, we need to determine the z-scores that correspond to the lower and upper percentiles of the middle 20% (10% on each side). We can then convert these z-scores back to actual heights.
The lower percentile for the middle 20% is (1 - 0.20)/2 = 0.40/2 = 0.10. This corresponds to a z-score of approximately -1.2816.
The upper percentile for the middle 20% is 1 - 0.10 = 0.90. This corresponds to a z-score of approximately 1.2816.
Now we can calculate the actual heights using the z-score formula:
For the lower height:
x1 = μ + z1 × σ = 68 + (-1.2816)× 2.3 ≈ 65.0867
For the upper height:
x2 = μ + z2× σ = 68 + 1.2816 × 2.3 ≈ 70.9133
Therefore, the middle 20% of Martian heights lie between approximately 65.0867 inches and 70.9133 inches.
Learn more about standard deviation here:
https://brainly.com/question/13498201
#SPJ11
John is packing cookies for Key club's bake sale. He has 48 chocolate chips cookies and 56 peanut butter cookies. What is the maximum number of bags he can make?.
Answer:
8
Step-by-step explanation:
Given A=⎣⎡104−2⎦⎤ and B=[6−7−18], find AB and BA. AB=BA= Hint: Matrices need to be entered as [(elements of row 1 separated by commas), (elements of row 2 separated by commas), (elements of each row separated by commas)]. Example: C=[142536] would be entered as [(1,2, 3),(4,5,6)] Question Help: □ Message instructor
If the matrices \(A= \left[\begin{array}{ccc}1\\0\\4\\ -2\end{array}\right]\) and \(B=\left[\begin{array}{cccc}6&-7&-1& 8 \end{array}\right]\), then products AB= \(\left[\begin{array}{cccc}6&-7&-1&8\\0&0&0&0\\24&-28&-4&32\\-12&14&2&-16\end{array}\right]\) and BA= \(\left[\begin{array}{c}-14\end{array}\right]\)
To find the products AB and BA, follow these steps:
If the number of columns in the first matrix is equal to the number of rows in the second matrix, then we can multiply them. The dimensions of A is 4×1 and the dimensions of B is 1×4. So the product of matrices A and B, AB can be calculated as shown below.On further simplification, we get \(AB= \left[\begin{array}{ccc}1\\0\\4\\ -2\end{array}\right]\left[\begin{array}{cccc}6&-7&-1& 8 \end{array}\right]\\ = \left[\begin{array}{cccc}6&-7&-1&8\\0&0&0&0\\24&-28&-4&32\\-12&14&2&-16\end{array}\right]\)Similarly, the product of BA can be calculated as shown below:\(BA= \left[\begin{array}{cccc}6&-7&-1& 8 \end{array}\right] \left[\begin{array}{ccc}1\\0\\4\\ -2\end{array}\right]\\ = \left[\begin{array}{c}6+0-4-16\end{array}\right] = \left[\begin{array}{c}-14\end{array}\right]\)Therefore, the products AB and BA of matrices A and B can be calculated.
Learn more about matrix:
brainly.com/question/11989522
#SPJ11
A radio station requires DJs to play commercials for every 8 songs they play. What is the unit rate of songs to commercials.
Answer:
the answer is 2:4
Step-by-step explanation:
For which value of x are lines g and h parallel?
Help me, please.
Indicate the equation of the given line in standard form, using the equation box below.
The line containing the midpoints of the legs of right triangle ABC where A(–5, 5), B(1, 1), and C(3, 4) are the vertices.
Answer:
4x + 6y = 23
Step-by-step explanation:
xm = -5+3/2=-1
ym= 5+4/2 = 9/2
xm= 1+3/2=2
ym= 1+4/2=5/2
m= y2-y1/x2-x1
m= 5/2-9/2 / 2-(-1)
m=4/-2 /3
m=-2/3
Based on Ch.10 The variables of "The more you save (x), the less you spend (y)" describes: positive linear correlation. nonlinear correlation negative linear correlation_ no correlation_
Negative linear correlation between variables.
How to interpret negative correlation?The statement "The more you save (x), the less you spend (y)" suggests a negative linear correlation between the variables x and y. In a negative linear correlation, as one variable increases, the other variable decreases at a constant rate.
In this case, as the amount saved (x) increases, the amount spent (y) decreases. This implies that if someone saves more money, they tend to spend less money. It is important to note that correlation does not necessarily imply causation.
In other words, just because there is a negative linear correlation between the amount saved and the amount spent, it does not mean that saving more money causes people to spend less. There may be other factors that influence both variables. Nonetheless, understanding the nature of the correlation between variables can be useful in making predictions and analyzing data.
Learn more about negative linear
brainly.com/question/2919313
#SPJ11
Help me please I need help in this math
Answer:
Step-by-step explanation:
AB
away fram house
2km 4mins
rate: 1km\minute
BC
away from house
5km 6mins
rate:0.83km\minute
CD
niether
0km 9mins
no rate
DE
toward house
6km 15mins
0.4km\minute
How to solve system of equations?
8q-15r=-40
4q+2r=56
Answer:
q=10, r=8
Step-by-step explanation:
You have to first cancel one of the variables.
8q-15r=-40
4q+2r=56
To do this, multiply the second equation by -2.
8q-15r=-40
-2(4q+2r)=(56)(-2)
Multiply it out.
8q-15r=-40
-8q-4r=-112
Combine like terms.
-19r = -152
Divide by -19 to get the value of r.
r=8
Substitute r back into one of the equations, it does not matter which one. I'll do both.
8q-15(8)=-40
8q-120=-40
8q=80
q=10
4q+2(8)=56
4q+16=56
4q=40
q=10
You should get the same value for q for both.
In the instance where the variables are x and y, which they usually are, you would write your answer as an ordered pair, (x, y).
(10, 8)
Answer:
q=10 and r=8
Step-by-step explanation:
8q-15r=-40 ...........equation(i)
4q+2r=56................eqn(ii)
Now,
Multiplying eqn (ii) by 2 then we get,
8q+4r=112..........eqn(iii)
Here, Subtracting eqn (i) and (iii)
8q-15r=-40
8q+4r=112
(-) (-) (-)
---------------------
-19r=-152
r= -152/-19
r= 8
Again, Putting the value of r in eqn (ii)
4q+2r=56
4q+2×8=56
4q=56-16
q=40/4
q=10
if f is differentiable we can use the line tangent to f at x=a to approximate values of f near x=a
The statement is true. If a function f is differentiable at a point a, then the line tangent to f at x = a can be used to approximate values of f near x = a.
The line tangent to f at x = a is the best linear approximation to the function f at x = a. It is the line that passes through the point (a, f(a)) and has a slope equal to the derivative of f at x = a, denoted f'(a). This line is also known as the linearization of f at x = a.
To approximate the value of f at a nearby point x = a + h, where h is a small number, we can use the equation of the tangent line:
y = f(a) + f'(a) * (x - a)
Substituting x = a + h into this equation gives:
y = f(a) + f'(a) * (a + h - a)
y = f(a) + f'(a) * h
Therefore, an approximation for the value of f at x = a + h is given by f(a) + f'(a) * h. This is known as the linear approximation or tangent line approximation of f at x = a.
However, it is important to note that this approximation is only accurate when h is small, and the function f is differentiable at x = a. If h is large or the function is not differentiable at x = a, the approximation may not be accurate.
To learn more about function click here
brainly.com/question/12431044
#SPJ11
How does sample variance influence the estimated standard error and measures of effect size such as r2 and Cohen's d?
A) Larger variance increases both the standard error and measures of effect size.
B) Larger variance increases the standard error but decreases measures of effect size.
C) Larger variance decreases the standard error but increases measures of effect size.
D) Larger variance decreases both the standard error and measures of effect size.
The estimated standard error and measures of effect size such as r2 and Cohen's d larger variance increases the standard error but decreases measures of effect size. B.
Larger variance increases the standard error but decreases measures of effect size.
The standard error is a measure of how much the sample mean is likely to vary from the true population mean.
It is calculated as the standard deviation of the sample divided by the square root of the sample size.
If the sample variance is large, the standard deviation of the sample will also be large, resulting in a larger standard error.
Measures of effect size, such as r2 and Cohen's d, indicate the strength of the relationship between variables or the size of the difference between groups, respectively.
Larger sample variances indicate greater variability in the data, which can make it more difficult to detect significant effects.
This can result in smaller effect sizes, as the magnitude of the effect is reduced relative to the variability in the data.
For similar questions on variance
https://brainly.com/question/15858152
#SPJ11
how do i do this I forgot how to do this and I have a test tomorrow
Answer:
Step-by-step explanation:
(1 + 11)/(-2+5)= 12/3=4
y + 11 = 4(x + 5)
y + 11 = 4x + 20
y = 4x + 9
In the statement, z = 1.42, p > .05, which of the following interpretations is true? a) There is a significant difference between the sample value and the population. b) There is not a significant difference between the sample value and the population. c) There is a marginally significant difference between the sample value and the population.d) The answer cannot be determined from the information given.
The correct interpretation is b) There is not a significant difference between the sample value and the population.
In the given statement, z = 1.42 and p > .05. The z-value represents the standardized difference between the sample value and the population mean, while the p-value represents the probability of observing a result as extreme as, or more extreme than, the observed result under the null hypothesis (no difference between the sample value and the population mean). A p-value greater than .05 indicates that the difference between the sample value and the population mean is not statistically significant, meaning we cannot reject the null hypothesis.
Based on the provided information (z = 1.42, p > .05), we can conclude that there is not a significant difference between the sample value and the population.
To know more about sample value visit:
https://brainly.com/question/6366471
#SPJ11
PQR ~MNO. What is the length of side QR?
The length of the QR is 16 cm when PQR ~MNO
In the given question, it is given that two similar triangles as PQR ~MNO
Then, the corresponding sides will be in equal proportion to each other as follows
PQ / MN = PR / MO = QR / NO
We need to find the length of the side QR
As above relations are given,
\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)
\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)
Equating all the fractions, equal to each we'll find
\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)
5x + 7 = 3(x +5)
5x + 7 = 3x + 15
2x = 8
x = 4
We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm
Therefore, the length of the QR is 16 cm when PQR ~MNO
To learn more about, similar triangles, here
https://brainly.com/question/25882965
#SPJ1
What is "seven less than a number cubed"?
Answer:
n³ - 7
Step-by-step explanation:
number = n
because 7 is less then the number cubed it's being subtracted by n³