*What you should know*
Point slope form,
y-y1=m(x-x1)
Parallel lines have the same slope.
1. Points (4,2)
y=2
x=4
m=-3/4
substitute this information into the point-slope form formula,
》y-2=-3/4(x-4)
2.
y=-3
x=-3
m=7/3
》y-(-3)=7/3(x-(-3))
3.(-4,0)
y=0
x=4
m=3/4
》y-0=3/4(x-4)
4. (-1,4)
y=4
x=-1
m=-5
》y-4=-5(x-(-1))
brianlist me?
The sampling distribution of the ratio of two independent sample variances taken from normal populations with equal variances is a(n) _____ distribution.
The sampling distribution of the ratio of two independent sample variances taken from normal populations with equal variances is a Chi-Square distribution. This theorem holds that if the population has a normal distribution, the sample variance follows the Chi-Square distribution with n-1 degrees of freedom, where n is the sample size.
For a normal distribution, a normal probability plot of the sample data is used to assess normality visually. A formal normality test can also be used to determine if the data are normally distributed. The sampling distribution of the variance is used to compare the two independent sample variances. The chi-square distribution is a continuous distribution that is widely used in inferential statistics, in particular in hypothesis testing and confidence interval estimation. It has a wide range of applications because of its flexibility in modeling real-world data. When it comes to a ratio of variances, the chi-square distribution is an important tool.
Thus, the sampling distribution of the ratio of two independent sample variances taken from normal populations with equal variances is a Chi-Square distribution.
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For the equation y=x^2+8x+15,what is the value of the largest zero?
Answer:
-3.
Step-by-step explanation:
5 times 3 equals 15. 5 plus 3 equals 8. So it factors to (x+3)(x+5). To get a 0, x has to equal either -3 or -5, with -3 being the bigger of the two.
6: Find the nature of the quadratic equation x2 + 8x + 16 = 0. 5: Find the nature of the solutions of the quadratic equation x2 - 24x + 144 = 0. 7: Find the nature of the quadratic equation x2 - 25 = 0. 9: Quadratic formula determines ___________ solutions to the quadratic equation. 10: Identify the roots of the quadratic equation 2x2 + 5x + 3 = 0. SOMEONE PLEASE
Answer:
The quadratic equation x2 + 8x + 16 = 0 is a perfect square trinomial, which means it can be factored as (x+4)²=0. Therefore, the nature of the quadratic equation is a perfect square trinomial, and it has one real root with a multiplicity of 2.
The quadratic equation x2 - 24x + 144 = 0 can be factored as (x-12)²=0, which is also a perfect square trinomial. Therefore, the nature of the solutions is a perfect square trinomial, and it has one real root with a multiplicity of 2.
The quadratic equation x2 - 25 = 0 can be factored as (x+5)(x-5)=0, which means it has two real roots: x=5 and x=-5.
The quadratic formula determines the solutions to the quadratic equation in terms of its coefficients. The formula is x = (-b ± √(b²-4ac)) / (2a), where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.
The roots of the quadratic equation 2x2 + 5x + 3 = 0 can be found by factoring it as (2x+3)(x+1)=0, which means the roots are x=-3/2 and x=-1.
Step-by-step explanation:
Joe drove 165 miles in 3 hours. How many miles can he drive in 8.
Evaluate the expression x^2 - y^2, if x = -3, and y= 2
\(\\ \rm\longmapsto x^2-y^2\)
\(\\ \rm\longmapsto (-3)^2-(2)^2\)
\(\\ \rm\longmapsto 9-4\)
\(\\ \rm\longmapsto 5\)
simplify 8w+12/4 and make it correct
Answer:
\(8w+\frac{12}{4}\) = 8w+3
\(\frac{8w+12}{4}\) = 2w+3
Step-by-step explanation:
For \(8w+\frac{12}{4}\), you can divide 12 by 4 which is three.
For \(\frac{8w+12}{4}\), you have to divide each term. 8w is the same as 8·w. 8·w/4 is 2·w. 12/4 is 3.
The correct value of this simplified expression is 8w + 3
This question is related to algebraic expression and simplification.- Algebraic expression is a mathematical sentence that involves letters accompanied by real numbers, where it can be a variable or unknown.
- Simplification of a number is just the division of the same divisor by the numerator and denominator.
Given the expression: 8w+12/4, the only term in this expression that can be simplified is the fraction. So let's divide these two numbers by the number 2:
8w + 12 / 4
8w + 12 ÷ 2 / 4 ÷ 2
8w + 6 /2
It is still possible to simplify this expression - dividing the numerator by the denominator, so:
8w + 6 /2
8w + 6 ÷ 2
8w + 3
Therefore, the correct answer of this expression will be 8w + 3
Can someone help me with this
Answer:
i think you should get brainly tutor even if you cant afford it you can use the free trail to see if you like it they could help you with that give the answer and an explanation
Step-by-step explanation:
PLEASE PLEASE HELP WITH RIGHT ANSWERS THANK YOU
Real-World Application: Without using surfaces you walk on, name an example of each:
a) a positive slope
b) a negative slope
c) a zero slope
d) an undefined slope
if 1 yard = 3 feet; 1 foot =12 how many inches are there in 5 yards
Answer:
Step-by-step explanation:
3x12=36inches in 1yard
5 yards= 5(36) =180 inches
Plssss help!!!! I need to finish this and it is really difficult:
The result of addition and subtraction is
5 (2/3) - 1 (1/4) = 58 (5/12) + 31 (1/6) = 393 (1/4) + 3 (3/5) = 79 (1/10) - 6 (7/10) = 27 (5/8) + 2 (1/7) = 1020 (9/11) - 18 (3/10) = 310 (3/7) + 22 (2/9) = 321 (5/6) + 5 (1/6) = 7113 (1/13) + 86 (9/11) = 20065 (17/20) + 19 (3/25) = 8571 (41/50) + 25 (5/24) = 9712 (13/15) + 18 (2/5) = 31The directions to solve these problems are to round each fraction to the nearest whole number and then add or subtract. We have to round each fraction into the nearest whole number.
If the fraction is more than 1/2 we round it up to 1.If the fraction is less than 1/2 we round it down to 0.1. 5 (2/3) - 1 (1/4) = (5 + 1) - 1 = 6 - 1 = 5
2/3 = 4/62. 8 (5/12) + 31 (1/6) = 8 + 31 = 39
5/123. 3 (1/4) + 3 (3/5) = 3 + (3 + 1) = 3 + 4 = 7
1/44. 9 (1/10) - 6 (7/10) = 9 - (6 + 1) = 9 - 7 = 2
1/105. 7 (5/8) + 2 (1/7) = (7 + 1) + 2 = 8 + 2 = 10
5/86. 20 (9/11) - 18 (3/10) = (20 + 1) - 18 = 21 - 18 = 3
9/11 = 18/227. 10 (3/7) + 22 (2/9) = 10 + 22 = 32
3/7 = 6/148. 1 (5/6) + 5 (1/6) = (1 + 1) + 5 = 2 + 5 = 7
5/69. 113 (1/13) + 86 (9/11) = 113 + (86 + 1) = 113 + 87 = 200
1/13 = 2/2610. 65 (17/20) + 19 (3/25) = (65 + 1) + 19 = 66 + 19 = 85
17/2011. 71 (41/50) + 25 (5/24) = (71 + 1) + 25 = 72 + 25 = 97
41/5012. 12 (13/15) + 18 (2/5) = (12 + 1) + 18 = 13 + 18 = 31
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You spend $4.50 on 5 pounds of apples. What is the unit rate in dollars per pound?
Answer:
$0.90 per pound. Hope this helped :)
Step-by-step explanation:
I had this question trust me. Good luck!
Answer:
$0.90/pound (1st answer choice)
Step-by-step explanation:
Find the unit rate as follows:
$4.50
----------------- = $0.90/pound (1st answer choice)
5 pounds
what is this called in geometry
Step-by-step explanation:
Tranversal-(two parallel angles are cut by a third)
Lisa also cleans windows on the weekend. She charges $10 a window plus a $5 flat supply fee, regardless of the size of the window. Write the total charge, c, of a cleaning job as a function of the number of windows (w).
Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5
What was the steps to find this answer?So, she charges $10 a window plus a $5 flat supply fee, we are going to add 10 and 5 to find are answer and we are going to use c:
→ w = 10
→ 10w
$5 in the other hand, is independent.
→ + 5
→ c = 10w + 5
Therefore, Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5
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Geometry question please help
Since KL is tangent to J, it forms a right angle (90)
And, since both sides JK and KL are equal, the angles m
The sum of interior angles of a triangle adds up to 180
90 + mmm
Since both angle sare equal, divide by 2:
90/2 = 45
m
Given m||n, find the value of x.
Please help with this one too this is hard
Answer:
111°
Step-by-step explanation:
The two angles are alternate exterior angles, and those types of angles are always congruent if there are parallel lines.
Answer:
x is equal to 111°
Step-by-step explanation:
x and the angle given are AEA(aka alternate exterior angles), and those are congruent (the same)
since line m and n are parallel, use the theorem, if lines are parallel, alternate exterior angles are congruent
What is the smallest number that i can add to 4310 to make it exactly divisble by 25
SHOW YOUR WORK AND EXPLAIN
In Excel, construct a relative frequency distribution with a class width of 0.5 and lower class limit for class one equal to 96.0. 96.796.896.997.197.197.197.297.397.397.497.597.597.697.697.797.797.797.797.8 97.897.897.897.897.897.997.99898.298.398.398.398.498.498.498.498.498.698.7 98.898.998.998.998.999.199.2
According to the question, Relative Frequency Distribution in Excel with a Class Width of 0.5.
To construct a relative frequency distribution in Excel with a class width of 0.5 and a lower class limit of 96.0, follow these steps: Enter the provided data in a column in Excel. Sort the data in ascending order. Calculate the number of classes based on the range and class width. Create a column for the classes, starting from the lower class limit and incrementing by the class width. Create a column for the frequency count using the COUNTIFS function to count the values within each class. Create a column for the relative frequency by dividing the frequency count by the total count. Format the cells as desired. By following these steps, you can construct a relative frequency distribution in Excel with the given class width and lower class limit, allowing you to analyze the data and observe patterns or trends.
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Sam did a two-sample t test of the hypotheses H0: u1=u2 versus HA: u1 not euqal u2 using samples sizes of n1 = n2 = 15. The P-value for the test was 0.08, and α was 0.05. It happened that bar(y1) was less than bar(y2). Unbeknownst to Sam, Linda was interested in the same data. However, Linda had reason to believe, based on an earlier study of which Sam was not aware, that either u1 = u2 or else u1 < u2. Thus, Linda did a test of the hypotheses H0: u1 = u2 versus HA: u1 < u2. Which of the following statements are true for Linda’s test? the P-value would still be 0.08 and H0 would not be rejected if α = 0.05 the P-value would still be 0.08 and H0 would be rejected if α = 0.05 the P-value would be less than 0.08 and H0 would not be rejected if α = 0.05. the P-value would be less than 0.08 and H0 would be rejected if α = 0.05. the P-value would be larger than 0.08 and H0 would be rejected if α = 0.05. the P-value would be larger than 0.08 and H0 would not be rejected if α = 0.05.
The correct statement for Linda's test is: the P-value would be less than 0.08, and H0 would be rejected if α = 0.05.
For Linda's test, she is testing the hypothesis that u1 < u2. Since Linda had reason to believe that either u1 = u2 or u1 < u2 based on an earlier study, her alternative hypothesis is one-sided.
Given that Sam's two-sample t test resulted in a P-value of 0.08 for the two-sided alternative hypothesis, we need to consider how Linda's one-sided alternative hypothesis will affect the P-value.
When switching from a two-sided alternative hypothesis to a one-sided alternative hypothesis, the P-value is divided by 2. This is because we are only interested in one tail of the distribution.
Therefore, for Linda's test, the P-value would be 0.08 divided by 2, which is 0.04. This means the P-value for Linda's test is smaller than 0.08.
Now, considering the significance level α = 0.05, if the P-value is less than α, we reject the null hypothesis H0. In this case, since the P-value is 0.04, which is less than α = 0.05, Linda would reject the null hypothesis H0: u1 = u2 in favor of the alternative hypothesis HA: u1 < u2.
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an alias cannot be used when a table is required to be joined to itself in a recursive query.a. trueb. false
An alias cannot be used when a table is required to be joined to itself in a recursive query is false.
The majority of relational database management systems, if not all of them, include the SQL feature known as an alias (RDBMSs). Database administrators and other database users can use aliases to cut down on the amount of coding necessary for a query and to make it easier to understand. Additionally, the real names of database fields can be protected using aliasing as an obfuscation approach.
You can alias tables and columns in SQL. A correlation name is another term for a table alias. [1] For the duration of a SELECT query, a programmer can temporarily give a table or column a different name by using an alias. The column or table are not truly renamed when an alias is assigned.
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A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 2.8 ft/s. (a) How rapidly is the area enclosed by the ripple increasing when the radius is 3 feet?
The area enclosed by the ripple is increasing at a rate of 39.2π ft²/s when the radius is 3 feet. To solve this problem, we need to use the formula for the area of a circle: A = πr^2.
We know that the radius is increasing at a constant rate of 2.8 ft/s, so we can write r = 3 + 2.8t, where t is the time elapsed since the stone was dropped.
We want to find how rapidly the area enclosed by the ripple is increasing, which is the same as finding the derivative of the area with respect to time:
dA/dt = d/dt(πr^2)
Using the chain rule, we can simplify this to:
dA/dt = 2πr(dr/dt)
Now we can substitute in the expression we have for r:
dA/dt = 2π(3 + 2.8t)(2.8)
When the radius is 3 feet, we have:
dA/dt = 2π(3 + 2.8t)(2.8)
dA/dt = 39.2π ft^2/s
So the area enclosed by the ripple is increasing at a rate of 39.2π square feet per second when the radius is 3 feet.
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Tina runs at a reate of 8 miles per hour. at that rate, how many miles will she run in 12 minutes
M(angle)1 =. Degrees
Answer:
Angle \(m\angle 1 = 35^o\)
Step-by-step explanation:
Our goal is to find appropriate symmetries within the given diagram, so we can use the property of the addition of internal angles of a triangle that render \(180^o\).
So we start by drawing a line that goes through the center of the circle and also through the vertex of angle \(m\angle 1\). Please see the attached image to follow the procedure. In the image, the line is a fine black line that crosses the circle completely.
Now we draw the four radii that will define clearly the central angles of \(100^o\) and \(30^o\) that come as information.
Then we set our efforts to analyze the two triangles (one marked with green borders, and the other one marked with orange borders. Notice that the angle on the further right for the triangle with orange borders is in fact half of the angle \(m\angle 1\) that we need to find, so we will work our way to determine the size of it and then multiply it by two.
We need to start though with the triangle with green borders because it has more information that we can derive.
Notice that this green triangle has a central angle equal to \(115^o\), because it has to measure the same as 180 degrees minus half of the 100 degrees angle and minus half of the 30 degree angle in order to add to form the perfect plane angle of the circle's diameter:
\(180^o-50^o-15^o=115^o\)
Now, notice as well that this green triangle is an isosceles triangle (has two equal sides (both equal to the radius of the circle), and therefore the angles opposite to them must be equal. We can find the measure of either such angles by using the property of additions of internal angles of a triangle to render \(180^o\), subtracting from it the 115 degree angle we know, and dividing the result by two:
\(180^o-115^o=65^o\)
half of this is \(32.5^o\)
Now we use this angle, to find its supplementary angle, which would be the angle on top of the orange triangle:
\(180^o-32.5^o=147.5^o\)
Now all we need is to use the property of addition of internal angles for the orange triangle (of which we currently know a 15 degree angle and a 147.5 degree angle) to find what half of angle \(m\angle 1\) is:
\(180^o-147.5^o-15^o=17.5^o\)
then angle \(m\angle 1\) is twice this value: \(m\angle 1 = 35^o\)
Given F(-7,8), G(-4,6), H(1,3), and
I(x,9). Find x such that FG I HI.
Answer:
(8,-4), (3,X)
Step-by-step explanation:
The local school will only have a drama class if at least 18 students sign up. So far 8 students have signed up for the class. At least how many more students need to sign up?
11
9
10
12
Answer:
It would be 10.
Step-by-step explanation:
10+8=18, so if 8 students signed up you would need 10 more.
hope this helps <33
the residents of a city voted on whether to raise property taxes. the ratio of yes votes to no votes was to . if there were no votes, what was the total number of votes?
The total number of no votes are 4422.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given: The ratio of yes votes to no votes is 5 to 6 i.e.
yes votes /no votes = 5/6
It means there are total 11 votes ( 5 votes for yes and 6 votes for no)
which gives
no votes/total votes= 6/11---(i)
But in the given question total votes are 8107,
so let us consider there are x votes for no which implies
no votes/total votes= x/8107
From (i), we have
x/8107 = 6/11
⇒ x = 6*8107/11 = 4422.
Then the total number of no votes is 4422.
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NOTE: The question given in the portal is incomplete. Here is the complete question.
Question: The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 6. If there were 8107 total votes, how many no votes were there?
A standard piece of notebook paper measures 8.5 inches by 11 inches. By cutting a square out of each corner, the sides can be folded up to create a box with an open top. Determine the size of the square that needs to be cut out of each corner to create a box of maximum volume. For extra credit, perform this experiment from home and include a picture of the box you create. 3) (2 points) If f'(x)=6x² – 5 sin x+eˣ and f(0) = 20, determine the function f.
The size of the square that needs to be cut out of each corner to create a box of maximum volume is 5/3 inches.
To determine the function f given that f'(x)=6x² – 5 sin x+eˣ and f(0) = 20, we need to integrate f'(x) with respect to x to obtain f(x), and then use the initial condition f(0) = 20 to find the value of the constant of integration.
Integrating f'(x) with respect to x, we have:
f(x) = 2x³ + 5 cos x + eˣ + C
where C is the constant of integration.
Using the initial condition f(0) = 20, we have:
f(0) = 2(0)³ + 5 cos 0 + e⁰ + C = 6 + C = 20
Therefore, the constant of integration is C = 14, and the function f(x) is:
f(x) = 2x³ + 5 cos x + eˣ + 14
To determine the size of the square that needs to be cut out of each corner of a standard piece of notebook paper to create a box of maximum volume, we can start by drawing a diagram of the box and labeling the sides as follows:
| |
| |
| | h
| |
|__________|
L
Let x be the length of each side of the square that is cut out of each corner. Then, the length and width of the base of the box will be L - 2x and 11 - 2x, respectively, and the height of the box will be x. Therefore, the volume V of the box can be expressed as:
V(x) = x(L - 2x)(11 - 2x)
Expanding and simplifying, we get:
V(x) = -4x³ + 46x² - 110x
To find the size of the square that maximizes the volume of the box, we need to find the value of x that maximizes V(x). This can be done by finding the critical points of V(x) and determining whether they correspond to a maximum or minimum.
Taking the derivative of V(x) with respect to x, we get:
V'(x) = -12x² + 92x - 110
Setting V'(x) = 0 and solving for x, we get:
x = 5/3 or x = 11/6
To determine whether these values correspond to a maximum or minimum, we can use the second derivative test. Taking the second derivative of V(x) with respect to x, we get:
V''(x) = -24x + 92
Evaluating V''(5/3) and V''(11/6), we find that:
V''(5/3) = -4 < 0, so x = 5/3 corresponds to a maximum.
V''(11/6) = 20 > 0, so x = 11/6 corresponds to a minimum.
Therefore, the size of the square that needs to be cut out of each corner to create a box of maximum volume is 5/3 inches.
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HELPP DUE IN 10 MINS!!!
Answer:
x=8+4sqrt3=4*(2+sqrt3)
Step-by-step explanation:
bz theorem the height of a right triangle is 1/4 of its hypotеnus and we get the hypo by using the pythagorean theorem so the hypo is equal to sqrt(x^2+16). the small triangle formed by the height with side x is similar to the initial triangle so we get the following proportion:x/sqrt(x^2+16)=sqrt(x^2+16)/4/4. by siplifying it we get the quadric equation x^2-16x+16=0 and its roots are +/-8+4sqrt3, but x is a side so it is bigger than zero so it is the positive value
25. a 2018 pew research center survey found that more americans believe they could give up their televisions than could give up their cell phones (pew research website). assume that the following table represents the joint probabilities of americans who could give up their television or cell phone. could give up television could give up cellphone yes no yes 0.31 0.17 0.48 no 0.38 0.14 0.52 0.69 0.31 a. what is the probability that a person could give up her cell phone? (4 points) b. what is the probability that a person who could give up her cell phone could also give up television? (4 points) c. what is the probability that a person who could not give up her cell phone could give up her television? (4 points) d. is the probability a person could give up television higher if the person could not give up a cell phone or if the person could give up a cell phone? (4 points)
(a)Probability that a person could give up cell phone = 0.48
(b)Probability that a person who could give up her cell phone also could give up television is 0.65
(c) Probability that a person who could not give up a cell phone could give up television is 0.73
What is Probability?
Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.
According to the given question:
a. Probability that a person could give up cell phone = 0.48
b. Probability that a person who could give up her cell phone also could give up television
= P(give up cell phone and TV)/p(give up cell phone)
= 0.31/0.48
= 0.6458
= 0.65
c. Probability that a person who could not give up a cell phone could give up television is
= P(could not give up cellphone and could give up TV)/P(could not give up cell phone)
= 0.38/0.52
= 0.73
d. The probability a person could give up television is higher for persons who couldn't give up cell phones than for those who could give up their cell phones.
Hence,
(a)Probability that a person could give up cell phone = 0.48
(b)Probability that a person who could give up her cell phone also could give up television is 0.65
(c) Probability that a person who could not give up a cell phone could give up television is 0.73
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Lady Gaga wants to make 84 hair bows for her back up dancers. Each bow requires 1.5 yards of ribbon. The fabric store only sells ribbon by the foot. How many feet of ribbon will she need?
Answer:
plz mark brailyst the answer is 378
Step-by-step explanation:
each yard is 4.5 feet
and 4.5 times 84 is 378
Answer:
378 feet
Step-by-step explanation:
So First you d 84 times 1.5 which is 126.
She needs 126 yards of ribbon.
Since there is 3 feet in a yard, You multiply 126x3 and get 378.
So she will need 378 feet to make bows for her back up dancers.