We can then plug this value into the given for XZ, which is 3x, to solve for the length of XZ. This comes out to be 18. Therefore, the value of x is 6, and the length of XZ is 18.
x = 6, XZ = 18
To solve for x, we can use the formula for the midpoint of a segment, which is (x + z)/2.
Plugging in the given values, we get (x + 13)/2 = 6.
Simplifying, we get x = 6.
To solve for XZ, we can simply plug in the given value for x, which is 6.
Therefore, XZ = 3(6) = 18.
Given three values related to a line segment, XZ, XT, and TZ, we can solve for both the value of x and the length of XZ. To do this, we can use the formula for the midpoint of a segment, which is (x + z)/2. Plugging in the given values for XT and TZ, we can solve for x, which comes out to be 6. We can then plug this value into the given for XZ, which is 3x, to solve for the length of XZ. This comes out to be 18. Therefore, the value of x is 6, and the length of XZ is 18.
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pls help i think it worth it
Answer: all points are a solution except for (4, 2) (and (2, 0) i think)
Step-by-step explanation:
calculate the probability that are between three and five bicycle accidents, inclusive, that occur at this intersection in the next four months. write out the equation you need with numbers substituted but solve using r. copy/paste your r code here, with the answer.
The equation we need is[tex]P(3 < =x < =5) = (x^3 - 3x^2 + 5x - 3)/24[/tex]. We can solve this in R by using the dbinom() function. The code is: dbinom(3:5, size=4, prob=0.25) which yields an answer of 0.3125. This means that the probability of 3 to 5 bicycle accidents occurring in the next four months is 0.3125.
The equation for the probability of a certain number of bicycle accidents occurring in the next four months is [tex]P(x) = (x^3 - 3x^2 + 5x - 3)/24[/tex], where x is the number of accidents. To solve this equation with R, we can use the dbinom() function which is used to calculate the binomial cumulative distribution function. We set the size parameter to 4 (the number of months) and the probability parameter to 0.25 (the probability of a bicycle accident occurring at the intersection in a single month). The code is dbinom(3:5, size=4, prob=0.25). This yields an answer of 0.3125, meaning that the probability of 3 to 5 bicycle accidents occurring in the next four months is 0.3125. This calculation is useful for understanding the likelihood of certain numbers of bicycle accidents occurring in a given time period, and can be used to inform decisions about safety at intersections.
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Write the expression 15^1/2 in radical form.
Answer:
15
_
2
Step-by-step explanation:
hope you get it since I don't know how to do it under __
If x-y=9 is a true equation, what would be the value of 5+x−y?
Answer:
If x-y=9 is a true equation, we can substitute this equation into 5+x−y to find its value.
5 + x - y
= 5 + x - (x - 9) (since x - y = 9)
= 5 + x - x + 9
= 5 + 9
= 14
So, the value of 5 + x - y would be 14 if x-y=9 is a true equation.
suppose you have a binomal distribution with a mean of 2.5 and a standard deviation of 1.4, would it be unusual to get a score of 0?
Yes, it would be unusual to get a score of 0 on a binomial distribution with a mean of 2.5 and a standard deviation of 1.4. This is because the expected value of such a distribution is much higher than 0.
Yes, it would be unusual to get a score of 0 on a binomial distribution with a mean of 2.5 and a standard deviation of 1.4. This is because the expected value of such a distribution is much higher than 0. The binomial distribution is a type of probability distribution which is used to describe the probability of a discrete event occurring a certain number of times in a given number of trials. The mean of the binomial distribution is the expected value of the events, while the standard deviation is a measure of how much the values of the events vary from the expected value. In this case, the expected value is 2.5, and the standard deviation is 1.4. This means that the probability of getting a score of 0 is quite low, since the expected value is so much higher than 0. Therefore, it would be considered unusual to get a score of 0 on this binomial distribution.
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Josie's water bottle has a capacity of 4 liters. What is the capacity of her water bottle in milliliters?
what is 11>s shown on a graph?
Note that 11 > S or S < 11 is given in the in the Line Graph attached. The above simply means that 11 as a quantity is greater that the factore represented by "s".
What is a Line Graph?A line graph is a graphical depiction of changing information over time. It is a diagram created by connecting points with line segments.
Line graphs may be used to demonstrate how something evolves over time.
Line graphs are useful for displaying data that has peaks (ups) and troughs (downs) or was gathered in a short period of time. The pages that follow discuss the various components of a line graph.
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A density curve consists of the line segment connecting the points (0,1) and (0. 5,1) and the segment connecting (0. 5, 1) to the x-axis. A. Determine the coordinate point where the second segment crosses the x-axis. B. Determine the slope of that segment c. Determine the equation of the line containing this segment (y = mx + b) d. Calculate the probability P(X > 1)
The second segment crosses the x-axis at (1.5, 0), and the slope of the segment is -1
The area under any probability density curve is always 1 and it is used for finding out the probabilities for any random variable X taking a certain range of values.
Let the second segment crosses at (a,0) on the X-axis:
The area under the density curve is 1.
the given fig can be divided into a rectangle and a triangle by dropping a line from the point (0.5, 1) in the x-axis.
The coordinate point of the second segment at the x-axis:
Now,
1*0.5+1/2*1*(a-0.5)=1
1+(a-0.5)=2
a-0.5=2-1
a=1+0.5
a=1.5
Thus the second segment crosses the x-axis at (1.5, 0)
The slope of that segment c:
The slope of that segment=y₂-y₁/x₂-x₁
By considering the points (0.5, 1) and (1.5, 0)
We will have the slope as:
m=0-1/1.5-0.5
m=-1/1
m=-1
the equation of the line containing this segment:
The line passes from the point (0.5, 1)
y=mx+b is used to find the value of the intercept
so, substitute the values in the equation:
1=(-1)*0.5+b
1=-0.5+b
b=1.5
so, the equation for that line segment is
y=-x+1.5
x+y=1.5
To calculate the probability P(X > 1):
[tex]P(X > 1)=\int\limits\limits^1_1 {y} \, dx \\P(X > 1)=\int\limits^1_1 {(-x+1.5)} \, dx[/tex]
[tex]P(X > 1)=[\frac{-x^2}{2}+1.5x]_1^1^.^5\\\\P(X > 1)= (\frac{(-1.5)^2}{2} +1.5*1.5)-(\frac{-1^2}{2}+1.5*1)\\[/tex]
P(X>1)=-1.125+2.25+0.5-1.5
P(X>1)=0.125
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NO LINKS!! Please help me with this.
Answer:
Step-by-step explanation:
1. ΔONG≅ΔLMI
2. 1:2
3. ON = 12
NG = 30
4. P-ONG = 6+7.5+12 = 25.5
P-LIM = 12+15+24 = 51
5. 1:2
Julia and her husband own a coffee shop. They experimented with mixing a City Roast Columbian coffee that cost $7.70 per pound with French Roast Columbian coffee that cost $8.60 per pound to make a 30-pound blend. Their blend should cost them $8.00 per pound. How much of each type of coffee should they buy?
Lacey and Euan start with the same positive whole number. Lacey rounds the number to the nearest 10, and Euan rounds it to the nearest 100. Their new numbers are different to each other. Lacey's new number is 3/4 of Euan's new number. Work out a possible value for the original number.
The possible value for the original number is 30
How to determine the possible value for the original number.Represent the number with n
So, we have
Lacey = 10 * (n/10 + 1/2)
Euan = 100 * (n/100 + 1/2).
Also, Lacey's new number is 3/4 of Euan's new number, so we have:
10 * (n/10 + 1/2) = (3/4) * (100 * (n/100 + 1/2))
Solving for n, we have:
100 * (n/100 + 1/2) = (4/3) * (10 * (n/10 + 1/2))
Divide through by 100
n/100 + 1/2 = (4/30) * (n/10 + 1/2)
Evaluate
(n + 50)/100 = 4n/300 + 2/30
So, we have
n + 50 = 4n/3 + 20/3
Multiply through by 3
3n + 50 = 4n + 20
Evaluate the like terms
n = 30
Hence, the original number is 30
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Two city streets are
parallel. The measurements between the
streets and a landmark are shown in the
figure. Find the distance between 1st Street
and 2nd Street along Pike Avenue and the
distance between 2nd Street and the
landmark along Pike Avenue.
Answer:
The distance between 1st Street and 2nd Street along Pike Avenue is 60 ft.The distance between 2nd Street and the landmark along Pike Avenue i 240 ft.Step-by-step explanation:
Similar Triangles - Side Splitter TheoremIf a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.
Let x be the distance between 1st Street and 2nd Street along Pike Avenue.
As 1st Street and 2nd Street are parallel we can use the Side Splitter Theorem to calculate x:
[tex]\implies \sf x:300=40:40+160[/tex]
[tex]\implies \sf x:300=40:200[/tex]
[tex]\implies \sf \dfrac{x}{300}=\dfrac{40}{200}[/tex]
[tex]\implies \sf x=\dfrac{40}{200} \cdot 300[/tex]
[tex]\implies \sf x=60\; ft[/tex]
To calculate the distance between 2nd Street and the landmark along Pike Avenue, subtract the found distance between 1st Street and 2nd Street along Pike Avenue from the length of Pike Avenue:
[tex]\implies \sf 300-60=240\; ft[/tex]
solve for x please and thank you
The required value of angle x for a given hexagon is 20°.
What is a hexagon?
In terms of geometry, a hexagon is a closed, six-sided polygon in two dimensions. Six vertices and six angles make up a hexagon. The words "hexa" and "gonio" both refer to six.
A hexagon's internal angles add up to 720°. All of the sides and interior angles of a regular hexagon are the same lengths.
Given, the interior angles of a hexagon are 7x°, 7x°, 4x°, 7x°, 7x°, and 4x° respectively.
So, the sum of interior angles = 720°
or, 7x° + 7x° + 4x° + 7x° + 7x° + 4x° = 720°
or, 36x° = 720°
or, x = 720/36
or, x =20°
Hence, the required value of x is 20°.
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A soccer game is m minutes long. The game includes 90 minutes plus x minutes of time-outs. Translate the words into an algebraic expression. How long is the game with 8 minutes of time-outs
The game with 8 minutes of time-outs is 98 minutes long.
What is an algebraic expression?
An algebraic expression is a mathematical phrase that can contain numbers, variables, and operations such as addition, subtraction, multiplication, and division.
In this case, the algebraic expression that represents the length of the soccer game would be:
m = 90 + x
where m represents the total length of the game in minutes, 90 represents the fixed length of the game, and x represents the variable length of time-outs in minutes.
To find the length of the game with 8 minutes of time-outs, we substitute x = 8 into the expression:
m = 90 + 8 = 98
Therefore, the game with 8 minutes of time-outs is 98 minutes long.
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Triangle ABC has the coordinates below:
A (-2,-1) B (0,3) C (1,1)
Dilate this triangle with k= 3
The coordinates of triangle ABC after dilation are; (-6, -3), (0, 9) and (3, 3)
What is dilation?Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
Given that, a triangle ABC with coordinates, A (-2, -1) B (0, 3) C (1, 1)
This triangle is dilated by a scale factor of 3,
SInce, the scale factor is greater than 3, therefore, dilation shows an enlargement.
The rule of dilation is given by;
(x, y) → (kx, ky), where k is dilation factor.
Let triangle ABC is dilated to form triangle A'B'C'
Therefore, the coordinates of triangle A'B'C' are;
A' = 3(-2, -1) = (-6, -3)
B' = 3(0, 3) = (0, 9)
C' = 3(1, 1) = (3, 3)
The graph is attached.
Hence, the coordinates of triangle ABC after dilation are; (-6, -3), (0, 9) and (3, 3)
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(a) The matrix M is defined as M = 7 2 P -1 Determine the value of p for which the matrix M does NOT have an inverse.
The value of p such that the matrix M does not have an inverse is given as follows:
p = -5.
How to obtain the value of M?The matrix M for this problem is given as follows:
M = [7 2
p -1].
As it is a 2 x 2 matrix, the determinant is obtained with the multiplication of principal diagonal subtracted by the multiplication of the secondary diagonal, hence:
|M| = -7 - 2p.
The matrix does not have an inverse if the determinant assumes a value of zero, hence the value of p is obtained as follows:
-7 - 2p = 0
2p = -7
p = -7/2
p = -5.
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A furniture store pays a wholesale price for a mattress.Then the store marks up the retail price to 150% of the wholesale price.Later they put the mattress on sale for 50% off of the retail price.A customer just bought the mattress on sale and paid 1,200.what was the retail price of the mattress before the discount.
The solution is, the retail price of the mattress, before the discount is $2,400. & the wholesale price, before the markup was $960
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
Part A:
Given that the mattress is sold for 50% off of the retail price, let the retail price of the mattress be x, then
50% of x = 1200
⇒ 0.5x = 1200
⇒ x = 1200 / 0.5 = 2400
Therefore, the retail price of the mattress, before the discount is $2,400.
Part B:
Given that the store marks up the retail price to 150% of the wholesale price. Let the whole sale price be p, then
(100% + 150%) of p = 2400
250% of p = 2400
2.5p = 2400
p = 2400 / 2.5 = 960.
Therefore, the wholesale price, before the markup was $960.
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Which other expression has the same value as (-14)-8
I NEED HELP IT'S DUE TODAY
Answer:
cant see it clearly
Step-by-step explanation:
bc it's to far
The total expenditure of a company can be broken down as follows: Salaries: R105 000 000 Equipment: R10 000 000 Marketing: R2 000 000 Other: R8 000 000 What percentage of the expenditure goes towards salaries?
The percentage of expenditure which goes towards salaries is 78%
What percentage of the expenditure goes towards salaries?Company's expenditure:
Salaries: R105 000 000
Equipment: R10 000 000
Marketing: R2 000 000
Other: R8 000 000
Total expenditure= R105 000 000 + R10 000 000 + R2 000 000 + R8 000 000
= R135,000,000
percentage of the expenditure is salary= R105 000 000 / R135,000,000 × 100
= 0.78
= 78%
Therefore, 78% of the company's expenditure goes towards salary.
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Two model cars, A and B, are in a race.
They start together on the starting line.
Assume each car travels at a constant speed.
Car A takes 30 seconds to complete each lap of the track.
Car B takes a whole number of seconds to complete each lap of the track.
The two cars next cross the starting line together 150 seconds after the start of the race.
Find the four possible times that car B could take to complete one lap.
The four possible times that car B could take to complete one lap are: 120 seconds, 90 seconds, 60 seconds, and 30 seconds.
The equation used to solve this problem is (150 - 30) = N * B, where N is the number of laps and B is the total number of seconds for car B to complete one lap. Therefore, the four possible times for car B to complete one lap are 120 seconds, 90 seconds, 60 seconds, and 30 seconds.
When solving for the total time, it is important to remember that the two cars start the race together and that their speeds remain constant. This means that the time it takes for car B to complete one lap must be a factor of 150 seconds. If car B takes a time that is not a factor of 150, then it will not be able to finish the race in 150 seconds.
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a rectangle has a width-to-height ratio of 8:5. The perimeter of the rectangle is 208 inches. what is that area of the rectangle, in square inches?
The dimension of the rectangle is 40 inches by 64 inches. Then the area of the rectangle is 2,560 square inches.
What is the area and perimeter of the rectangle?Assume L is the length and W is the width. Then the area is given as,
A = L × W
And the perimeter is given as,
P = 2(L + W)
A rectangle has a width-to-height ratio of 8:5. The perimeter of the rectangle is 208 inches. Then the equations are given as,
208 = 2(W + H)
H + W = 104 ...1
H / W = 8 / 5 ....2
From equations 1 and 2, then we have
(8/5)W + W = 104
(13/5)W = 104
W = 40 inches
Then the height is given as,
H = (8/5) x 40
H = 64 inches
Then the area of the rectangle is given as,
A = 40 x 64
A = 2,560 square inches
The dimension of the rectangle is 40 inches by 64 inches. Then the area of the rectangle is 2,560 square inches.
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i dont know this pls help me with it i dont know it
The code from solving the expressions is MGWMGWW
1. 7b
2. 6y - 1
3. -m + 0.5
4. 9x - 2y
5. 4j
6. -12x + 22
7. 6m - 8
What are algebraic expressions?Algebraic expressions are expressions that are composed of coefficients, variables, terms, factors and constants.
They also consist of mathematical operations, such as;
SubtractionMultiplicationDivisionAdditionParenthesesBracketGiven the expression;
b + b + b + b + 3b
collect the like terms
7b
2(4y- 3) - 2x + 5
collect like terms
6y - 1
Hence, the code is MGWMGWW
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Hey can someone explain this?
The number of terms in the sequence is given as follows:
135 terms.
How to obtain the number of terms in the sequence?The general notation of a sequence is given as follows:
[tex]\sum_{m = a}^{k} f(m)[/tex]
The parameters are given as follows:
a is the initial index.k is the final index.Hence the number of terms in the sequence is obtained as follows:
n = k - a + 1.
The parameter values for this problem are given as follows:
a = 1, k = 135.
Considering the parameter values above, the number of terms of the sequence is given as follows:
n = 135 - 1 + 1
n = 135.
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3 bagels were eaten form a bag of 5 whats the percent of bagels left
Answer: 40%
Step-by-step explanation:
what chart should be used if all the sample sizes are the same and the team is concerned with the number of defects?
A bar chart or a histogram might be suitable if all the sample sizes are the same and the team is worried about the amount of flaws.
You might compare the number of problems between various categories or groups using a bar chart.Consider comparing the quantity of defects across several production lines, departments, or time periods.
Similar to a bar chart, a histogram displays the frequency distribution of a continuous quantity rather than particular categories.The number of faults would be the continuous variable in this instance, and the bars would represent the number of samples that included a particular number of defects.
When illustrating the distribution of a count variable, such as the number of defects, bar charts and histograms can be used to visually spot patterns and trends in the data.
Therefore, the number faults would be the continuous variable in this instance, and the bars would represent the number of samples that included a particular number of defects.
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Who can solve this math problem??
Answer:
angle 1 = 26 degrees angle 2 is 154 degrees
DONT FORGET TO PUT THE DEGREES SIGN IN YOUR ANSWER
Step-by-step explanation:
Since the angles add up to a straight line, or 180 degrees, the equation is
(x+4)+7x=180 degrees
8x+4=180
8x=176
x=22
so, angle 1 is 26, angle 2 is 154 degrees
The length of the base of a rectangular prism is 8 inches. The width of the prism is 412
inches, and the height is 312 inches. What is the volume of the prism?
Answer:
The volume of the rectangular prism can be calculated by multiplying its length, width, and height: 8 x 4.12 x 3.12 = 128.064 cubic inches.
Answer:
V=342,784in
Step-by-step explanation:
V=1/3(L×W×H)
where v=volume of rectangular prism,L=length.W=width or breadth,H=height
V=1/3×8×412×312
V=342,784in
The price of a $198.00 smart phone is discounted 40% for a special promotion. What is its sale price during the promotion?
Practice
Think about if the sale price will be more or less than $198.00.
Answers:
A
$190.08
B
$120.80
C
$118.80
D
$79.20
Say someone answered D how would someone get that answer? (inocorrect math explain)
Answer:
the answer is c
Step-by-step explanation:
Divide 198.00 by 100, multiply 1.98 by 40, 198.00 minus 79.20, 118.80
the table shows information about the lengths of time in minetes it took some pupils to do their maths homework last week . draw the histogram for the information in the table.
According to the information in the table, the histogram would be as shown in the attached image.
How to graph table information?To graph the information in the table we must take into account the relationship of the data. On the one hand we have the frequency, which is the data that varies, and the different variations of time.
In accordance with the above, what we want to demonstrate with this table are the different frequencies of time that students take to do their math homework. Additionally, most students take between 10 and 25 minutes to do their math homework.
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