Answer:
Angle LJK = 75 degrees
Step-by-step explanation:
Here, we want to fill the boxes
From the diagram;
angle HJL and LJK are supplementary (they add up to 180 degrees)
Angle HJL + Angle LJK = 180
angle LJK = 180-105
Angle LJK = 75 degrees
Which equation has the same solution as
x2+4x-13=-7
Answer:
6x - 3 + 4x = 13
10x - 3 = 13
10x = 16
x = 1.6
Any equation whose solution is x=1.6 has the same solution as this one has.
Step-by-step explanation:
Describe the distribution of streak lengths. What is the typical streak length for this?
We can see that the distribution of Kobe Bryant's distribution is somewhat similar to that of the distribution of streak lengths for the simulated shooter. The distribution of Kobe Bryant's is fewer longer compared to streak lengths. Using the comparison, I found no evidence that the hot hand model fits shooting patterns because if the hot hand model is held for Kobe,I could have more length of Kobe but in this case, the length is only up to 4
A streak length of 1 means a hit followed by a miss.
3 hits in one run and he has 6 misses. The calc_streak user-defined function loaded with the
data can be used to calculate the length of all shooting streaks and examine their distribution.
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pls help im so bad at math
Angle E and D are supplementary and need to equal 170 when added together.
Angle D = 180-35 = 145
Angle D is split into two with part of it being 44
The missing angle is 145-44 = 101 degrees
The answer is 101
Which figure is described below?
The locus of points 6 units from the
point (1, -2) on the coordinate plane.
Answer:
C; Circle
Step-by-step explanation:
In this question, we are interested in giving a term to the locus of points which are at a certain distance from a fixed point.
The correct answer to this is a circle.
From the question, we can picture a situation which we have the point (1,2) as the center of the circle. This point serve the starting point in which all other points which are exactly 6 units away are plotted.
Thus, from this center point, we can mark off several points around the center point. By tracing the marked points from these center, we can obtain a circular path which when traced completely will give us the identity of a circle, where these points represent the line bounding the circle which is referred to the circumference of the particular circle in question.
Further more, from the definition of the radius of a circle, it is the distance from the center of a circle to the circumference. While the point (1,2) represents the center of the circle in question, the distance 6 units stand for the radius of the circle.
Answer:
circle
Step-by-step explanation:
Help needed ASAP will give BRAINLIEST not a real test ILL GIVE 5 STARS
Answer:
3. Someone who attacks widely accepted beliefs
Step-by-step explanation:
3x-y=18
-2y=-6x-120
solve the system of equations!
show your work!! :)
The system is inconsistent.
The two lines are parallel and never intersect.
====================================================
Work Shown:
Solving the 1st equation for y.
3x-y=18
-y=18-3x
y = -(18-3x)
y = -18+3x
y = 3x-18
Plugging that into the other equation to solve for x.
-2y=-6x-120
-2(y)=-6x-120
-2(3x-18)=-6x-120
-6x+36=-6x-120
-6x+6x=-120-36
0x = -156
0 = -156
We arrive at a false statement.
Therefore, this system has no solutions
The system is inconsistent.
If you were to use a graphing tool like Desmos or GeoGebra, then you'll see the two lines are parallel. They never intersect to form a solution.
the following table is based off a survey of employment from 2018. what is the p-value for testing if the proportion who are unemployed differs between the two groups? give your answer to three decimal places.
The p-value for testing if the proportion who are unemployed differs between the two groups is 0.
To calculate the p-value for testing if the proportion who are unemployed differs between the two groups, we can use a two-sample test of proportions
Let's define
Group 1: High School or Some College
Group 2: Bachelor's or Higher
We want to test if the proportion of unemployed individuals differs between Group 1 and Group 2.
First, we need to calculate the proportion of unemployed individuals in each group
Group 1: 41/601 = 0.06822
Group 2: 14/875 = 0.016
Next, we need to calculate the pooled proportion
Pooled proportion = (41 + 14) / (601 + 875) = 0.043
Now we can calculate the test statistic
Test statistic = (0.06822 - 0.016) / sqrt(0.043 × (1 - 0.043) × (1/601 + 1/875)) = 7.57
Using a two-tailed test with a significance level of 0.05, we can find the critical value from a normal distribution table or calculator. For a two-tailed test with a significance level of 0.05, the critical value is approximately 1.96.
Since the test statistic (7.57) is greater than the critical value (1.96), we reject the null hypothesis that the proportion of unemployed individuals is the same in both groups.
Finally, we can calculate the p-value as the probability of getting a test statistic as extreme or more extreme than the one we observed, assuming the null hypothesis is true. Since this is a two-tailed test, we need to double the area to the right of the test statistic (7.57) under the standard normal curve
p-value = 2 × P(Z > 7.57) = 0
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The given question is incomplete, the complete question is:
The following table is based off a survey of employment from 2018. What is the p- value for testing if the proportion who are unemployed differs between the two groups? Give your answer to three decimal places. Total Unemployed 41 Employed 834 875 High School or Some College Bachelor's or Higher Total 14 587 601 55 1421 1476
A coin is flipped and a normal dice is rolled what is the probability of getting a tail and a five
Answer:
25% chance
Step-by-step explanation:
Urgent, please help!
It has been proved that the lines MN and PR are parallel because they have the same slope.
How to identify the slope of parallel lines?We are given the coordinates of the points P, Q and R as:
P(-3, -6)
Q(1, 4)
R(5, -2)
Since M is the midpoint of PQ, we have:
M = (-3 + 1)/2, (-6 + 4)/2
M = (-1, -1)
N is the midpoint of QR and so:
N = (1 + 5)/2, (4 - 2)/2
N = (3, 1)
Slope of MN = (1 + 1)/(3 + 1) = 1/2
Slope of PR = (-2 + 6)/(5 + 3)
Slope of QR = 4/8 = 1/2
Both slopes are equal and as such they are parallel lines
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1
The blue print of Vanessa's new home was drawn with a scale factor of 1 foot = 0.33 inch. The
actual length of the living room was to measure 12 feet. Determine the length of the living
room shown in the blueprint.
The length of the living room in the blue print is 3.96 inch
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the given question
We have,
1foot = 0.33 inch
The actual length of the living room =12feet.
Therefore,
The length of the living room in the blue print = 12 × 0.33 = 3.96inch
Hence, the length of the living room in the blue print is 3.96 inch.
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How many students can a van and a bus carry?
Answer: A van can carry up to 7-14 people a hooded school bus can carry up to 60 people the flat buses can carry up to 90 people.
Step-by-step explanation:
The longest ladder on the fire truck reaches 95 feet. A building has 20 stories, and each story is 18 feet high. what is the highest story that the ladder can reach?
(A) 5th story
(B) 6th story
(C) 10th story
(D) 18th story
(Somebody please help me answer this question I rlly need help with this!)
Answer:
Rounding down to the nearest whole number, we get 5 stories. The correct answer is, therefore (A) the 5th story.
Step-by-step explanation:
To solve this problem, we need to find the number of stories the ladder can reach by dividing the length of the ladder by the height of each story.
The longest ladder on the fire truck reaches 95 feet, and each story is 18 feet high, so the highest story that the ladder can reach is:
95 feet / 18 feet/story = <<95/18=5.28>>5.28 stories
Find the area of the shape. 2
Answer:
4
Step-by-step explanation:
what is 10% of 80 m, work it out
Answer:
should be your answer 10%+80=8 Goodluck
Answer:
8 m
Step-by-step explanation:
finding a percent means dividing the number (80) by the percentage (10)
whenever dividing by 10s, 100s, etc you move the decimal point to the left for every 0. just as the same rules with multiplying but to the right.
80/10 = 8
another way to do this without dividing to simplify is to reduce
since there is a zero (0) on both the numerator and denominator in the same spot (ones, 1s) you can simply take away both zeros
8/1 = 8
your answer is 8 m
hope this helps:)
Consider the vector function given below. r(t) = (7t, 2 cos t, 2 sin t) (a) Find the unit tangent and unit normal vectors T(t) and N(t). T(t)= (b) Use this formula to find the curvature.
a) For the vector r(t) = (7t, 2 cos t, 2 sin t), the unit tangent vector and unit normal vector is T(t) = (1/√53) × (7, -2 sin (t), 2 cos (t)) and N(t) = (0, -cos (t), -sin (t)) respectively.
b) The curvature is obtained as k = 2/53.
What is a vector?
A vector in mathematics is a quantity that not only expresses magnitude but also motion or position of an object in relation to another point or object. Euclidean vector, geometric vector, and spatial vector are other names for it.
The vector function is given as - r(t) = (7t, 2 cos t, 2 sin t).
Find the value of r'(t) -
r'(t) = (7, -2 sin (t), 2 cos (t))
Find the value of |r'(t)| -
|r'(t)| = √[(7)² + (-2 sin t)² + (2 cos t)²]
|r'(t)| = √(49 + 4 sin²t + 4 cos²t)
|r'(t)| = √[49 + 4 (sin²t + cos²t)]
Apply the formula (sin²t + cos²t = 1) -
|r'(t)| = √[49 + 4(1)]
|r'(t)| = √53
The unit tangent vector T(t) is -
T(t) = r'(t) / |r'(t)|
T(t) = (7, -2 sin (t), 2 cos (t)) / √53
Therefore, the unit tangent vector is (1/√53) × (7, -2 sin (t), 2 cos (t)).
Find the value of T'(t) -
T'(t) = (1/√53) × (0, -2 cos (t), -2 sin (t))
Find the value of |T'(t)| -
|T'(t)| = √[(1/√53)² × [0 + (-2 cos t)² + (-2 sin t)²]
|T'(t)| = √[(1/53) × [0 + 4 cos²t + 4 sin²t]
|T'(t)| = √[(1/53) × [4 (cos²t + sin²t)]
Apply the formula (sin²t + cos²t = 1) -
|T'(t)| = √[(1/53) × [4 (1)]
|T'(t)| = 2/√53
The unit normal vector N(t) is -
N(t) = T'(t) / |T'(t)|
N(t) = (1/√53) × (0, -2 cos (t), -2 sin (t)) / 2/√53
N(t) = (0, -2 cos (t), -2 sin (t)) / 2
N(t) = (0, -cos (t), -sin (t))
Therefore, the unit normal vector is (0, -cos (t), -sin (t)).
The formula for curvature k is -
k = |T'(t)| / |r'(t)|
k = (2/√53) / √53
k = 2/53
Therefore, the curvature is 2/53.
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simplify cos^2 A/1+sin A
Answer:
\(\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)\)
Step-by-step explanation:
We want to simplify:
\(\displaystyle \frac{\cos^2(A)}{1+\sin(A)}\)
Recall the Pythagorean Identity:
\(\sin^2(A)+\cos^2(A)=1\)
So:
\(\cos^2(A)=1-\sin^2(A)\)
Substitute:
\(\displaystyle =\frac{1-\sin^2(A)}{1+\sin(A)}\)
Factor. We can use the difference of two squares pattern:
\(\displaystyle =\frac{\left(1-\sin(A))(1+\sin(A))}{1+\sin(A)}\)
Cancel. Hence:
\(\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)\)
1. Name the angle. Don't worry about using the angle symbol. Just name the angle.
Answer:
∠ AOB
Step-by-step explanation:
Perform the following operation
and express the answer in
scientific notation.
4.3x1027.0×10²
[?]×10]
Answer:
\(4.4161 \times 10 ^{2} \)
\(4.3 \times 1027 \times 10 { \\ \\ }^{2} \)
\(4416.1 \times 10^{2} \)
\(4.4161 \times 10 ^{2} \)
if the margin of error in an interval estimate of μ is 4.6, the interval estimate equals _____.
If the margin of error is 4.6, the interval estimate would be the point estimate plus or minus 4.6.
In statistical estimation, the margin of error represents the maximum amount by which the point estimate may deviate from the true population parameter. It provides a measure of the precision or uncertainty associated with the estimate. When constructing a confidence interval, the margin of error is used to determine the range within which the true parameter is likely to fall.
To obtain the interval estimate, we add and subtract the margin of error from the point estimate. Let's denote the point estimate as x bar. Therefore, the interval estimate can be expressed as X bar ± 4.6, where ± denotes the range above and below the point estimate.
In summary, if the margin of error in an interval estimate of μ is 4.6, the interval estimate is given by the point estimate plus or minus 4.6. This range captures the likely range of values for the true population parameter μ.
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If z = 1 – istartroot 3 endroot i, what is z3?
a. –8
b. 8
c. –8i
d. 8i
If z = 1 – istartroot 3 endroot i, so - 8 is the value of z³, using the concept of complex number.
What is complex number?Real numbers and imaginary numbers combine to form complex numbers, which have two components. Complex numbers serve as the foundation for more complex arithmetic, including algebra.
Complex numbers are those that are represented as a+ib, where a and b are actual numbers and i is an imaginary number termed a "iota." i has the value (\(\sqrt{-1}\)).
A complex number z in polar form is expressed as:
z = r (cosθ + i sinθ)
The polar form of a complex number's nth power is:
zⁿ = rⁿ [cos (nθ) + i sin (nθ)]
When complex numbers are presented in rectangle form:
z = x + iy
following that, the values of r and θ are given by:
\(r = \sqrt{x^2 + y^2}\)
θ = arc tan (y/x)
Now, the given complex number is:
z = 1 - \(i\sqrt{3}\)
Then the value of r is:
\(r = \sqrt{(1)^2 + (-\sqrt{3})^2}\)
r = 2
Next, calculate the angle:
θ = arc tan \(\frac{-\sqrt{3} }{1}\)
θ = arc tan \((-\sqrt{3})\)
The angle is as follows since the number is in quadrant IV:
θ = - 60°
So, z is expressed in polar form as:
z = 2 [cos (- 60°) + i sin (- 60°)]
Calculating as a form of cubic:
z³ = 2³ [cos (- 180°) + i sin (- 180°)]
z³ = 8 ( -1 + 0 ) [as we know, cos (-180°) = - 1, sin ( -180°) = 0]
z³ = - 8
Correct option: a
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Which system of equations can be used to find the roots of the equation 4 x squared = x cubed 2 x? startlayout enlarged left-brace 1st row y = negative 4 x squared 2nd row y = x cubed 2 x endlayout startlayout enlarged left-brace 1st row y = x cubed 4 x squared 2 x 2nd row y = 0 endlayout startlayout enlarged left-brace 1st row y = 4 x squared 2nd row y = negative x cubed minus 2 x endlayout startlayout enlarged left-brace 1st row 4 x squared 2nd row y = x cubed 2 x endlayout
The system of equations can be used to find the roots of the considered equation is y = 4+x^2 and y= x^3 + 2 + x
How can we find the solution to an equation?We do same operations on both the sides so that equality of both expressions doesn't get disturbed. Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are infinite number of solutions.
For the given case, we are given with the equation \(4+x^2 = x^3 + 2 + x\)
We can take two equations as:
\(y = 4+x^2 \\y= x^3 + 2 + x\)
And when we will try to solve this system of equation, we will end up substituting the value of y in terms of x, and therefore, ending up on the same equation \(4+x^2 = x^3 + 2 + x\)
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Answer:
D
y=4x^2
y=x^3+2x
Step-by-step explanation:
im trying to pass just like yall, Good luck to all
( 1,-2), gradient = -3
Answer:
if you are required to find the equation of a straight line use the formula y-y1= m (x-x1)
y+2=-3(x-1)
y+2=-3x+3
y= -3x+3-2
y -3x+1
hope this helps
Answer:
y = -3x + 1
Step-by-step explanation:
(y -(-2)) = -3(x-1)
y+ 2 = -3x+ 3
y = -3x + 1
8. The distribution of mass for United States pennies minted since 1982 is approximately normal with mean 2.5 grams. A random sample of 10 pennies minted since 1982 was selected. The sample had a mean mass of 2.47 grams and a standard deviation of 0.04 gram. The test statistic for the population mean has which of the following distributions? (A) A normal distribution with mean 0 and standard deviation 1 (B) A normal distribution with mean 2.5 and standard deviation 0.04 C A normal distribution with mean 2.47 and standard deviation 0.04 D At-distribution with 9 degrees of freedom E At-distribution with 10 degrees of freedom
If sample has mean-mass of 2.47 grams and standard-deviation of 0.04 gram, then test-statistic for population mean has (d) a "t-distribution" with 9 degrees-of-freedom.
A "test-statistic" is defined as a value calculated from a sample of data which is used in hypothesis testing.
The test statistic(t) for population mean can be calculated using formula:
⇒ t = (x' - μ)/(s/√n),
where x' = sample mean, μ = population mean, s = sample standard deviation, and n = sample size,
Substituting the values,
We get,
⇒ t = (2.47 - 2.5)/(0.04/√10) ≈ -2.38,
Since the population standard deviation is unknown, we need to use the t-distribution to find the p-value and make a conclusion about the null hypothesis.
The degrees-of-freedom for the t-distribution is = n - 1 = 10 - 1 = 9.
Therefore, the test statistic for the population mean has a t-distribution with 9 degrees of freedom, the correct option is (d).
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The given question is incomplete, the complete question is
The distribution of mass for United States pennies minted since 1982 is approximately normal with mean 2.5 grams. A random sample of 10 pennies minted since 1982 was selected. The sample had a mean mass of 2.47 grams and a standard deviation of 0.04 gram.
The test statistic for the population mean has which of the following distributions?
(a) A normal distribution with mean 0 and standard deviation 1,
(b) A normal distribution with mean 2.5 and standard deviation 0.04,
(c) A normal distribution with mean 2.47 and standard deviation 0.04,
(d) A t-distribution with 9 degrees of freedom,
(e) A t-distribution with 10 degrees of freedom.
13. What is the length of the missing side, x?40 in74035 in51049 in.74°55°
Okay, here we have this:
Considering the provided triangle, we are going to calculate the side "x", so we obtain the following:
To find this measure we will use the law of sines, so we have:
\(\begin{gathered} \frac{c}{\sin(C)}=\frac{a}{\sin(A)} \\ c=\frac{a\cdot\sin(C)}{\sin(A)} \\ x=\frac{49*\sin(74)}{\sin(180-74-55)} \\ x=\frac{49*\sin(74)}{\sin(51)} \\ x\approx60.61\text{ in} \end{gathered}\)Finally we obtain that the measure of x is approximately 60.61 in.
For the situation below, identify the population and the sample and identify p and p if appropriate and what the value of p is. Would you trust a confidence interval for the true proportion based on these data? Explain briefly why or why not. The website of a certain newspaper asked visitors to the site to say whether they approved of recent bossnapping actions by workers who were outraged over being fired. Of those who responded, 54.9% said "Yes. Desperate times, desperate measures." What is the population? O A. All customers of the newspaper B. All visitors to the website C. All workers who were recently fired 0 D. All people on the internet Identify the sample. Choose the correct answer below. 0 A. The people on the internet who approved O B. The customers of the newspaper who responded ° C. The visitors to the website who approved O D. The visitors to the website who responded
The given options are:
A. All customers of the newspaper
B. All visitors to the website
C. All workers who were recently fired
D. All people on the internet
The population in this situation is the group of individuals that the study aims to generalize to. The population can be interpreted as the group of interest or the larger group to which the findings are intended to apply.
In this case, the population would most likely be option B: All visitors to the website. This is because the study is conducted on the website of a certain newspaper, and the responses are collected from the visitors to that specific website.
The sample, on the other hand, is the subset of individuals from the population that is actually surveyed or observed. It is used to gather information about the population.
The given options for the sample are:
A. The people on the internet who approved
B. The customers of the newspaper who responded
C. The visitors to the website who approved
D. The visitors to the website who responded
Based on the information provided, the sample would be option D: The visitors to the website who responded. These are the individuals who actively participated in the survey by providing their response on the website.
Regarding whether to trust a confidence interval for the true proportion based on these data, it would depend on the representativeness of the sample. If the sample is a random and representative sample of the population, then a confidence interval can provide a reasonable estimate of the true proportion. However, if there are concerns about the sampling method, sample size, or potential biases in the sample, it may not be advisable to fully trust the confidence interval.
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In the figure shown, suppose m angle ABC=n and m angle ABD=2(m angle DBC). The angle bisector of angle DBC is BE. What is m angle EBC
Answer: all I know is that the answer is n/6 cause I kept getting it wrong and it told me.
At Smith Mountain Lake Boat Rentals, it cost $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Bengal family rented a boat from 11 am - 6:30 pm and paid $226.50. If the Jones family rented a boat from 8 am- 1pm, how much did the pay?
Answer: $164
Step-by-step explanation:
25*7=175
175+12.5
226.50-187.50
5*25=125+39
Jones family payed $164
The variance of a distribution of means of samples of more than one is
A) smaller than the original population variance.
B) the same as the original population variance.
C) greater than the original population variance.
D) unrelated to the original population variance.
The variance of a distribution of means of samples of more than one is A) smaller than the original population variance.
When considering the distribution of means of samples, the central limit theorem states that as the sample size increases, the sampling distribution approaches a normal distribution regardless of the shape of the population distribution. Additionally, the standard error of the mean decreases as the sample size increases.
The variance of a population is denoted by σ^2.
The variance of the distribution of sample means, also known as the sampling distribution, is denoted by σ^2/N, where N is the sample size.
As the sample size (N) increases, the denominator increases, leading to a smaller value for the variance of the distribution of sample means (σ^2/N). Thus, the variance of the distribution of means of samples is smaller than the original population variance.
The variance of a distribution of means of samples of more than one is smaller than the original population variance. This is due to the central limit theorem and the decrease in standard error as the sample size increases.
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Marcia drew a plan for a rectangular piece of material that she will use for a blanket. Three of the vertices are (-2.6, -1.5), ( -2.6,3.3), and (2.7, 3.3). What are the coordinates of the fourth vertex?
Answer:
\((2.7,-1.5)\)
Step-by-step explanation:
The points are \(A(-2.6,1.5), B(-2.6,3.3), C(2.7,3.3)\)
The fourth vertex will can be found by the points \(A\) and \(C\).
The angles between the sides of a rectangle are \(90^{\circ}\).
The \(x\) coordinate will be the same as \(C\) and the \(y\) coordinate will be the same as \(A\). The fourth verex is \(D\).
So, the fourth vertex of the rectangular piece will be \((2.7,-1.5)\).
questionthere are 76 ounces of fluid in container a. this is about 8 times the amount of fluid in container how many ounces of fluid are there in container b?select the numbers that correctly complete the are between choose... ounces of fluid in container b.
The amount of fluid in container B is 9.5 ounces.
to separate into two or more parts or pieces. : to separate into classes or categories. : cleave entry 2, part.
To determine the amount of fluid in container B, we can divide the amount of fluid in container A by the given ratio of 8. Since container A contains 76 ounces, we divide 76 by 8 to find that each unit of the ratio represents 9.5 ounces. Therefore, container B would contain 9.5 ounces of fluid.
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