Answer:
60 degrees
Step-by-step explanation:
Since the two lines are intersecting, the angles formed by them are vertical angles. Therefore:
2x+24=144
2x=144-24=120
x=120/2=60
Hope this helps!
Step-by-step explanation:
Therefore,
2x+24= 144° [ Vertically positive angles]
Or, 2x= 144-24
Or, 2x= 120
Or, x= 120/2
Therefore, x= 60°
There must be 2 adults for every 15 students going on a field trip. If 75 students are going on a field trip, how many adults must go? You do NOT need to label.
help plssss
Answer:
3
Step-by-step explanation:
A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value
that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.
?:(
Answer:
The equation of the line in point-slope form is \(y-21 = - \frac{3}{2}\cdot (x-14)\).
Step-by-step explanation:
According to the statement, let \(A(x,y) = (14,21)\) and \(B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})\). The equation of the line in point-slope form is defined by the following formula:
\(y-y_{A} = m\cdot (x-x_{A})\) (1)
Where:
\(x_{A}\), \(y_{A}\) - Coordinates of the point A, dimensionless.
\(m\) - Slope, dimensionless.
\(x\) - Independent variable, dimensionless.
\(y\) - Dependent variable, dimensionless.
In addition, the slope of the line is defined by:
\(m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}\) (2)
If we know that \(x_{A} = 14\) and \(y_{A} = 21\), then the equation of the line in point-slope form is:
\(x_{B} = 1.25\cdot (14)\)
\(x_{B} = 17.5\)
\(y_{B} = 0.75\cdot (21)\)
\(y_{B} = 15.75\)
From (2):
\(m = \frac{15.75-21}{17.5-14}\)
\(m = -\frac{3}{2}\)
By (1):
\(y-21 = - \frac{3}{2}\cdot (x-14)\)
The equation of the line in point-slope form is \(y-21 = - \frac{3}{2}\cdot (x-14)\).
We are given two samples from populations G and H. The sample size of population G is 52 and the sample size of population H is 57. The sample variance of the sample from G is 3409 and the sample variance from the sample from H is 9239. We do not have enough information to assume the true (unknown) variances are equal. Calculate the degrees of freedom that would be used to find a confidence interval for the difference in means. Round your answer to the nearest whole number.
The degrees of freedom that would be used to find a confidence interval for the difference in means, when given two samples from populations G and H are 107.
What is a confidence interval?A confidence interval is an estimate of the value of an unknown population parameter based on the values of a random sample of observations drawn from the population. It is an interval estimate combined with a probability statement. The probability statement indicates the level of confidence that the parameter is within the interval's boundaries.
The confidence interval is always represented in terms of the population parameter. Therefore, if one were to construct a confidence interval for a population mean, it would be in the form of (x-bar ± error), where x-bar is the sample mean and error is the margin of error.
What are degrees of freedom?Degrees of freedom is a statistical term that refers to the number of independent values that can be varied in a sample without changing the sample's variance. It's utilized in hypothesis testing, where it is used to determine the number of degrees of freedom for a sample's distribution.
The degree of freedom (df) for a hypothesis test is the number of observations in a sample that are free to vary after certain limitations have been imposed on the data.
In hypothesis testing, degrees of freedom are used to determine whether or not a given hypothesis is statistically significant. Degrees of freedom also influence the accuracy of statistical estimates based on a sample dataset.
The formula for degrees of freedom is (n-1), where n is the sample size.
In this case, the degrees of freedom would be:
52 + 57 - 2 = 107
Therefore, the degree of freedom would be 107.
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Susan pushes a box up an inclined plane doing 50 Joules of work. The output work was calculated to be 25 loules. Find the efficiency of this inclined plane
A) 25%
B) 50%
C)100%
D) 200%
What is the solution to the system of equations?
y = 2/3x+3
x=-2
Answer:
y=2x/3+3-----------------P
Putting X = -2 in eq P
y=2(-2)/3+3
= -4/3+3=5/3
x,y= -2, 5/3
Tina__________ 4 by_____________ to get 16 and 9 by____________ to get 81. She should have multiplied each term by__________ number.
Answer:
multiplied 4
9 the same
Step-by-step explanation:
Tina multiplied 4 by 4 to get 16, and 9 by 9 to get 81. she should have multiplied each term by the same number.
HELP!!!
Which sampling method is the most appropriate in studying the opinions of stay-at-home mothers in all towns
across the country?
Using a convenience sample, which would involve surveying mothers who are easily accessible, such as those who live in close proximity to the researcher or it could be to use a random sample, which would involve selecting mothers from all towns across the country at random.
The most appropriate sampling method will likely depend on the specific research question being asked. If the goal is to simply gather general information about stay-at-home mothers’ opinions, then a convenience sample may be sufficient. However, if the goal is to study a specific phenomenon or compare different groups of stay-at-home mothers, then a random sample would be more appropriate.
Whichever sampling method is used, it is important to ensure that the sample is representative of the population of interest. This can be achieved by stratifying the sample, if possible, or by using weighting techniques. For example, if the goal is to study stay-at-home mothers’ opinions on a particular issue, the sample could be stratified by region in order to ensure that mothers from all parts of the country are represented
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Help please!!! I will give you the brainlyst if you helppp me
Answer:
the slope is 30 and it represents the total cost of the repair dont know 2 number 3 is for 10 hours he got paid 320 $ 4 ,270 $, 5,15.6
Step-by-step explanation:
Simplify 12+(-8)+(-5)
Answer: -1
Step-by-step explanation:
12+(-8)+(-5)
4+(-5)
= -1
Eliana got a new puppy for her birthday. She went to the pet store to buy what
she needed for the puppy: a food dish for $7.95, a leash for $9.95, a collar for
$6.95, a crate for $29.90, a bag of food for $10.98, and a chew toy for $2.50.
What is Eliana's total including sales tour of the sales tax rate is 8.25% ?
Answer: 5.628975
Step-by-step explanation:
Add everything up to get $68.23
Can someone help me with this Question.
The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.
\(P=3W+D\)A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.
B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.
\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.
That leaves \(27-14=13\) matches. These represent the matches team lost.
Finally, the answers are below.
\(A)29\)
\(B)13\)
Answer:
a) 29 points
b) 13 losses
Step-by-step explanation:
You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.
A 8 wins, 5 drawsThe number of points the team has is ...
P = 3W +D
P = 3(8) +(5) = 29
The team has 29 points.
B 54 pointsYou want the number of losses the team has if it has 54 points and 12 draws after 39 games.
The number of wins is given by ...
P = 3W +D
54 = 3W +12
42 = 3W
14 = W
Then the number of losses is ...
W +D +L = 39
14 +12 +L = 39 . . . substitute the known values
L = 13 . . . . . . . . . . subtract 26 from both sides
The team lost 13 games.
__
Additional comment
In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)
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Bernite is selling candy bars for a school fundraiser. The school paid $20.00 for a box of 15 king-size candy bars and Bernite sells them for $2.00 each. What is the relationship between the amount of candy sold and the amount of money earned?
The relationship is linear.
The relationship is non-linear.
The relationship is proportional.
The relationship is non-proportional.
The relationship always results in a positive profit.
The relationship always results in a negative profit.
WILL GIVE BRAINLIEST IF U SHOW WORK (Multiple CHOICE QUESTION)
$20 for a box of 15 king size candy bars
He sells them for $2 each
The relationship between the amount of candy sold and the amount of money earned:
\(y=2x-20\) (linear equation)
Where
\(y= Money earned\\x= Number of candy bars sold\)
The relationship is linear
PLEASE MARK ME AS BRAINLIEST
The number of butterflies in an exhibit is decreasing at an exponential rate of decay. The number of butterflies is decreasing by 5% every year. There are 500 butterflies in the exhibit right now. How many butterflies will be in the exhibit in 7 years? Round your answer to a whole number.
Answer:
349 butterflies
Step-by-step explanation:
The formula for Exponential Decay =
y = a(1 - r)^t
Where y = Size of population after time t = ?
a = Initial size of population = 500
r = Decay rate = 5%
t = Time = 7 years
Hence,
y = 500(1 - 0.05)⁷
y = 500(0.95)⁷
y = 349.16864805 butterflies.
Approximately = 349 butterflies
Find the slope of the line through each pair of points.
9) (17,-6), (-11,7)
10) (3, 4), (-4,-5)
11) (-20, 14), (17, 15)
12) (11, -18), (-1, -7)
Helpppp
Slope = (y2-y1) / (x2-x1)
9) (7 - -6)/(-11- 17) = 13/-28
10) (-5-4)/(-4-3)= -9/-7
11) (15-14)/(17- -20) = 1/37
12) (-7 - -18) /(-1 -11) = 11/-12
Lines x + 5 = 0 and y = 4x + 4 intersect on a standard (x, y) coordinate plane. What is the y-coordinate of the point where the two lines intersect?.
Lines x + 5 = 0 and y = 4x + 4 intersect on a standard (x, y) coordinate plane.
To find the y-coordinate of the point where the two lines intersect.
given lines are x +5 =0 and y=4x+4
we need to find point of intersection at point of intersection both line will have same point
Let point of intersection be (a,b)
then
a+5 = 0 and b = 4a+4
from 1st equation we have
a = -5
from the 2nd
b = 4a+4
b = 4(-5)+4
b = -20+4
b = -16
Hence y coordinate of point of intersection is -16
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help me again pls!!!
Answer:
19/0.8 23,75 or 23 3/4
and go to elementary school
Answer:
23.75
Step-by-step explanation:
You need to isolate for x. To do that divide both sides by 0.8 to leave only x on the left side and 19/0.8 on the right side. Then simplify the right side to get 23.75
What is this problem
Answer:
\(m=A-\frac{2n}{Z}\)
Step-by-step explanation:
Multiply by 2:
2n = Z(A - m)
Divide by Z:
\(\frac{2n}{Z} =A-m\)
Subtract A:
\(-m=\frac{2n}{Z}-A\)
Multiply by -1:
\(m=A-\frac{2n}{Z}\)
A cyclist rides into the country at an average speed of 10 miles per hour. When his bike gets a flat tire, he walks it back at an average speed of 3 miles per hour. If he returns home 6 and a half hours after he starts, how far into the country does he go?
The distance the cyclist traveled into the country, given that he rides into the country at an average speed of 10 miles per hour is 15 miles
How do i determine the distance traveled?Let the total distance traveled into the country be y.
Now, we shall determine the riding time. Details below:
Speed = 10 mile per hourDistance traveled = yRiding time = ?Riding time = Distance / speed
Riding time = y / 10
Next, we shall obtain the walking time of the cyclist. This is shown below:
Speed = 3 mile per hourDistance traveled = yWalking time = ?Walking time = Distance / speed
Riding time = y / 3
Finally, we shall obtain the total distance traveled. This is illustrated below:
Riding time = y / 10Riding time = y / 3Total time = 6.5 hoursTotal distance = y =?Total time = riding time + walking time
6.5 = y/10 + y/3
6.5 = (3y + 10y) / 30
6.5 = 13y / 30
Cross multiply
13y = 6.5 × 30
13y = 195
Divide both sides by 13
y = 195 / 13
y = 15 miles
Thus, the total distance traveled by the cyclist into the country is 15 miles.
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How many inches is in 2/3 of 3 feet
Answer:
~~~~~~~~~~~~24 inches
Need help with 2 math questions pls help me for 20 points.
what is the exponential regression equation that fits these data
Answer:
picture
Step-by-step explanation:
i need help with 1-9 please help!!
Answer:
1
Step-by-step explanation:this is so easy
A boy rode his bike 6 miles one day and rode 1/3 of that the next how many miles did he ride all together
Answer:
8 miles
Step-by-step explanation:
6+6(1/3)
6+2
8
The boy rode his bike 6 miles one day and rode \(1/3\)of that distance the next. To calculate the total number of miles he rode all together, we need to add the two distances.
Let's start by calculating \(1/3\)of 6 miles. Since \(1/3\) represents one-third or one part out of three equal parts, we can divide 6 by 3 to find that \(1/3\) of 6 miles is 2 miles. Now, we can add the two distances together.
The boy rode 6 miles on the first day and 2 miles on the next day. Adding these two distances gives us a total of 8 miles. Therefore, the boy rode a total of 8 miles altogether. To recap, the boy rode 6 miles on the first day and \(1/3\) of that, which is equal to 2 miles, on the next day. Adding these two distances together, the boy rode a total of 8 miles all together.
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Determine if the given set is a subspace of P₂. Justify your answer.
The set of all polynomials of the form p(t) = at², where a is in R.
Choose the correct answer below.
OA. The set is a subspace of P₂. The set contains the zero vector of P₂, the set is closed under vector addition, and the set is closed under multiplication on the left by mx2 matrices where m is any positive integer.
OB. The set is a subspace of P₂. The set contains the zero vector of P₂, the set is closed under vector addition, and the set is closed under multiplication by scalars.
OC. The set is not a subspace of P₂. The set is not closed under multiplication by scalars when the scalar is not an integer.
OD. The set is not a subspace of P₂. The set does not contain the zero vector of P₂
OB. The set is a subspace of P₂. The set contains the zero vector of P₂, the set is closed under vector addition, and the set is closed under multiplication by scalars.
To show this, we need to verify the three conditions for a set to be a subspace:
The set contains the zero vector: The zero vector of P₂ is 0t² = 0, which is in the set since any real number multiplied by 0 is 0.
The set is closed under vector addition: Let p(t) = at² and q(t) = bt² be two polynomials in the set. Then p(t) + q(t) = (a +
given that P = (4,1) and Q=(-4,4) find the component form and magnitude of the vector QP.
The magnitude of the vector QP is √73.
To find the component form of the vector QP, we need to subtract the coordinates of point P from the coordinates of point Q. The component form of a vector is represented as (x, y), where x and y are the differences in the x-coordinates and y-coordinates, respectively.
Given that P = (4, 1) and Q = (-4, 4), we can calculate the component form of the vector QP as follows:
x-component of QP = x-coordinate of Q - x-coordinate of P
= (-4) - 4
= -8
y-component of QP = y-coordinate of Q - y-coordinate of P
= 4 - 1
= 3
Therefore, the component form of the vector QP is (-8, 3).
To find the magnitude of the vector QP, we can use the formula:
Magnitude of a vector = √(\(x^2 + y^2\))
Substituting the x-component and y-component of QP into the formula, we get:
Magnitude of QP = √((\(-8)^2 + 3^2\))
= √(64 + 9)
= √73
Therefore, the magnitude of the vector QP is √73.
In summary, the component form of the vector QP is (-8, 3), and its magnitude is √73. The component form gives us the direction and the magnitude gives us the length or size of the vector.
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A radio is on sale for $50. If the price represents a 10% discount from the original price, what is the original price to the nearest nickel?
Answer:
Ok, so the discount is given in a percentage, in this case 10%. The sale price is going to reflect 10% of the original price minus the discount, so...
Sale $ = original$ - original $ x .10
If we use some algebra, we can reorganize the equation to solve for the original price...
Sale $ = original$ - original $ x .10
Sale $ = original$ (1 - .10)
Sale $ = original$ x .90
original$ = sale$/.90
So now we can plug in our values
original price = 50/.90
original price = 55.55555 = $55.55 to the nearest nickel
g sio2 is always 0.4 mg too high regardless of the weight of the sample taken for analysis. calculate the relative error in parts per thousand in a sample which contains 10% sio2, if the siz
g sio2 is always 0.4 mg too high regardless of the weight of the sample taken for analysis. The relative error in parts per thousand would be 400.
This is because the relative error is calculated by taking the difference between the actual value and the measured value, and dividing this by the actual value.
In this case, the actual value is 0.4 mg and the measured value is
0.4 mg + (10% x 0.4 mg) = 0.44 mg. Thus the relative error is
(0.44 – 0.4)/0.4 = 0.1/0.4 = 0.25 = 400 parts per thousand.
The relative error in parts per thousand would be 400.
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Select the correct answer.
Which graph shows a function and its inverse?
Answer:
See below
Step-by-step explanation:
If a function is bijective and 1-to-1, then it will have an inverse function. Consequentially, they will be symmetrical about the line \(y=x\), which is a diagonal line passing through the origin at a 45 degree angle.
None of the graphs look correct though, but it also seems that some options are cut out, so make sure to choose the correct graph given the characteristics I've previously described.
Answer:b
Step-by-step explanation:
HELP!!
how do we find x
every side is different
Answer:
45degres
Step-by-step explanation:
Answer:
55+45+X=180
X=180-100
X=80
Step-by-step explanation:
Add
Inverse the sum of 55 and 45
Then subtract
Verbal
4. When describing sets of numbers using interval notation, when do you use a parenthesis and when do you use a bracket?
Step-by-step explanation:
A parenthesis is used when the number next to it is NOT part of the solution set
like : all numbers up to but not including 3 .
Parens are always next to infinity when it is part of the solution set .
A bracket is used when the number next to it is included in the solution set.