Answer:
y=8x+5
Step-by-step explanation:
The diagram shows a triangle.
31° / 6x / x+16°
What is the value of x?
Step-by-step explanation:
31 + 6x + x + 16 = 180
7x + 47 = 180
7x = 180 - 47
x = 133/7
x = 19
Refer to the table summarizing service times (seconds) of dinners at a fast food restaurant. How many individuals are included in the summary? Is it possible to identify the exact values of all of the original service times?
Time (sec) Frequency
60 to 119 7
120 to 179 24
180 to 239 14
240 to 299 1
300 to 359 4
Answer:
Based on the provided information, the table summarizes service times (in seconds) of dinners at a fast food restaurant. To determine the number of individuals included in the summary, we can sum up the frequencies listed in the table:
7 + 24 + 14 + 1 + 4 = 50
Therefore, there are 50 individuals included in the summary.
Regarding the exact values of all the original service times, it is not possible to determine them precisely based on the given information. The table only provides ranges of service times and their corresponding frequencies. We can determine the range within which each individual's service time falls, but we cannot determine the exact value within that range.
Jo has a 10 GB monthly cell phone plan. Jo has used 8 GB in the first 10 days of the month. At that rate, how many GB will Jo use after a month of 30 days?
Answer:
Step-by-step explanation:
1st 10 days - 8 GB
2nd 10 days - 8 GB
3rd 10 days - 8 GB
________________
30 days - 24 GB
What's the missing addend 634 + =644
Answer:
10
Step-by-step explanation:
it is 10 cause 634+10=644
Answer:
10
Step-by-step explanation:
What is the missing addend?
We can fill in the blank with x
634+x=644
Now we need to get x to the other side
The rule to do this is what we do on one side we have to do the same thing to the other side
so if we subtract 634 on one side we also have to do that on the other side as well:
634-634+x=644-634
634-634 is 0
So it is
x=644-634
644-634 is 10
x=10
So the missing addend is 10
Hope this helps!
Determine coordinates of D on trapezium when A(-2;-2) and Cc(-3/4;-6) and midpoint of AD(-1/2;3)
The coordinates of D on the trapezium is (1, 8)
How to determine the coordinates of D on the trapezium?The coordinates are given as
A = (-2,-2)
C = (-3/4, -6)
Midpoint AD = (-1/2,3)
The midpoint is calculated as
Midpoint = 1/2 * (x1 + x2, y1 + y2)
So, we have the following:
Midpoint AD = 1/2 * (x1 + x, y1 + y)
This gives
(-1/2, 3) = 1/2 * (-2 + x, -2 + y)
Multiply through the equation by 2
So, we have
(-1, 6) = (-2 + x, -2 + y)
Evaluate the values of x and y in the equations
So, we have
-2 + x = -1
-2 + y = 6
This gives
x = 1
y = 8
So, we have
D = (1, 8)
Hence, the coordinates of D on the trapezium is (1, 8)
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For a project in his Geometry class, Amadou uses a mirror on the ground to measure the height of his school building. He walks a distance of 11.15 meters from the building, then places a mirror flat on the ground, marked with an X at the center. He then walks 1.05 more meters past the mirror, so that when he turns around and looks down at the mirror, he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.25 meters. How tall is the school? Round your answer to the nearest hundredth of a meter
The height of the school is 13.27 m.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have.
From the information given, we can draw the figure given below,
Now,
Triangle ABC and Triangle DCE are similar.
So,
x / 1.25 = 11.15 / 1.05
x = (11.15 x 1.25) / 1.05
x = 13.27 m
Thus,
The height of the school is 13.27 m.
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My fellow Americans, tonight, I’d like to talk with you about immigration.
For more than 200 years, our tradition of welcoming immigrants from around the world has given us a tremendous advantage over other nations. It’s kept us youthful, dynamic, and entrepreneurial. It has shaped our character as a people with limitless possibilities—people not trapped by our past, but able to remake ourselves as we choose.
–Address to the nation on immigration, President Obama, 2014
Which advantages of immigration does President Obama name in this passage? Check all that apply.
It has helped create new businesses.
It has helped boost the nation’s military.
It has helped shift the nation’s death rate.
It has shaped the character of the country.
It has given us benefits that other countries do not have.
Answer:
A, D, and Eso basically, It has helped create new businesses. It has shaped the character of the country. It has given us benefits that other countries do not have.
Answer:
A,D, and E
Step-by-step explanation:
just answered the question
The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.9 ppm and standard deviation 1.8 ppm. 39 randomly selected large cities are studied. Round all answers to 4 decimal places where possible.
ANSWER:
a. 9.9, 1.8
b. 9.9, 0.2882
c. 0.5239
d. 0.6368
e. No
f.
Q1 = 9.7069
Q3 = 10.0931
IQR = 0.3862
STEP-BY-STEP EXPLANATION:
a.
X ~ N (9.9, 1.8)
b.
x ~ N (9.9, 1.8/√39)
x ~ N (9.9, 0.2882)
c.
P(X > 9.8)
We calculate the probability as follows:
\(\begin{gathered} P\left(X>9.8\right)=1-p\left(\frac{X-9.9}{1.8}<\frac{9.8-9.9}{1.8}\right) \\ \\ P\left(X>9.8\right)=1-p(z<-0.06) \\ \\ P\left(X>9.8\right)=1-0.4761 \\ \\ P\left(X>9.8\right)=0.5239 \end{gathered}\)d.
p (x > 9.8)
We calculate the probability as follows:
\(\begin{gathered} P\left(x>9.8\right)=1-p\left(\frac{X-9.9}{\frac{1.8}{\sqrt{39}}}<\frac{9.8-9.9}{\frac{1.8}{\sqrt{39}}}\right) \\ \\ P\left(x>9.8\right)=1-p(z<-0.35) \\ \\ P\left(x>9.8\right)=1-0.3632 \\ \\ P\left(x>9.8\right)=0.6368 \end{gathered}\)e.
No, you don't need to make the assumption
f.
Q1 = 0.25
In this case the value of z = 0.25, so we look for the closest value in the normal table, like this:
Thanks to this, we make the following equation:
\(\begin{gathered} -0.67=\frac{x-9.9}{\frac{1.8}{\sqrt{35}}} \\ \\ x-9.9=-0.19311 \\ \\ x=-0.1931+9.9 \\ \\ x=9.7069 \\ \\ Q_1=9.7069 \end{gathered}\)Q3 = 0.75
In this case the value of z = 0.75, so we look for the closest value in the normal table, like this:
Therefore:
\(\begin{gathered} -0.67=\frac{x-9.9}{\frac{1.8}{\sqrt{39}}} \\ \\ x-9.9=0.1931 \\ \\ x=0.1931+9.9 \\ \\ x=10.0931 \\ \\ Q_3=10.0931-9.7069 \end{gathered}\)Therefore, the interquartile range would be:
\(\begin{gathered} IQR=Q_3-Q_1 \\ \\ IQR=10.0931-9.7069 \\ \\ IQR=0.3862 \end{gathered}\)Simplify the expression below:
p ÷ (-5) ≥ - 9
⮜|-------|--------|➤
Answer:p
≤
45
Interval Notation:
(
−
∞
,
45
]
Step-by-step explanation:
Multiply to remove the fraction, then set equal to
0
and solve.
Inequality Form:
is 1 over 3 = to 3 out of 3
the correct answer is No
Step-by-step explanation:
it's not equal
Answer:
\(\frac{1}{3}\neq\frac{3}{3}\)
Step-by-step explanation:
The two numbers are different
Part C
Find the average and margin of error for each of the following: the entire sample, 1950s records, 1960s records, 1970s records, Company A records, Company B records, and Company C records.
Part D
An oil embargo in the 1970s made vinyl more expensive, which some collectors say caused a decrease in average vinyl weight from 1970 onward. Do the data support this claim? Why or why not? Be sure to discuss averages, margins of error, and anything else that is relevant in your answer.
The average is 40 and the margin of error is 10.95.
What is margin of error?
The margin of error is a statistic expressing the amount of random sampling in the result of a survey.
Average (A) = sum of all the value/ given set.
A = (51+ 41 + 28)/3 = 40
margin of error = 100/square root of 120 = 10.95.
Therefore, the average is 40 and the margin of error is 10.95.
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Use the round trip airfare table to determine the percentile rank of $1,133
Answer:
R= $1,133/100(7+1)
=234.86 RS.
Step-by-step explanation:
percentile rank is the percentage of scores that shall be equal to or less than a given value. The percentage falls within the range of 0 to 100. To find out the percentile rank, we used the formula:
R= P/100(N+1). Where R is the percentile rank, p is a percentile and N number of items.
Let for round trip airfare; the percentile is $1,133. And the number of days for the trip is 7.put these values in the formula, we have
R= $1,133/100(7+1)
=234.86 RS.
A new video game has been released. The table shows the proportional relationship between the number of levels completed and the time it should take to complete them. Number of Levels 4 5 Time (hours) ? 2.5 How many minutes should it take to complete 4 levels? 180 minutes 120 minutes 60 minutes 50 minutes
Proportionately, the number of minutes it should take to complete 4 levels is B. 120 minutes.
What is the proportion?Proportion is the ratio between one value and another.
Proportions show the relative amount of a variable or value contained in the whole or another variable.
Proportions as fractional values are depicted using fractions, decimals, or percentages.
Number Time
of Levels (hours)
4 ?
5 2.5
The proportion of hours for level 5 = 0.5 (2.5/5) for each level.
If every level takes 0.5 hours or 30 minutes, level 4 will take 2 hours (0.5 x 4).
Or:
If level 5 takes 2.5 hours, level 4 will take 2 hours (2.5/5 x 4).
Thus, proportionately, to complete level 4 will take Option B.
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HELP NEED NOW !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
...
Step-by-step explanation:
...
Plane RTX and plane TUX intersect at what figure
Answer:
Line TX or XT
Step-by-step explanation:
Planes always intersect in a line.
What is the surface area of the rectangular prism?
Answer:
112 is your answer
Step-by-step explanation:
To calculate the surface area you have to count all of the squares. You can do this with these equations.
8 × 4 × 2 = 64
8 × 2 × 2 = 32
4 × 2 × 2 = 16
Next, add them up!
64 + 32 + 16 = 112
Find the surface area of the prism formed by the net 11, 4.26, 4.2,11
The surface area of the prism formed by the net is 84 square feet
What is the surface area of the figure?The complete question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
Net of a pyramid
The surface area of the figure is calculated as
Area = sum of individual areas
Using the above as a guide, we have the following:
Area = 5 * 6 + 4 * 6 + 3 * 6 + 3 * 4
Evaluate the sum of products
Area = 84
Hence, the area is 84 square feet
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Name the coordinates of P(-8, 3) under a reflection across the y-axis.
Answer:
(8,3)
Step-by-step explanation:
Hello There!
This is the rule for reflection over y axis:
(x,y) -----> (-x,y)
So if the point (-8,3) we're to reflect over the y axis then the x value would stay the same but the sign would flip
So instead of -8 it would be +8
The y value does not change so the new coordinates would be
(8,3)
Which of the following can be used to construct a triangle?
(10 Points)
A) 10cm 13cm 24cm
B) 14cm 32m 28cm
C) 25cm 13cm 22cm
D) 5cm 8cm 20cm
what a subcategory of a polygon
Three or more line segments that only intersect at their ends form closed, two-dimensional shapes known as polygons.
What is a polygon?A polygon is a closed, two-dimensional shape with straight sides that is flat or plane. It has straight sides. Polygons are a different category that belongs to the category of two-dimensional figures because two-dimensional (2D) figures are flat because they lack volume.
Polygons are flat 2D shapes that have straight lines and all lines are closed, meaning that they don't have any disconnected lines. Polygons are a subcategory of 2D figures because they carry all traits of 2D figures but also have special ones of their own. Examples of polygons are squares, rectangles, and triangles. Examples of nonpolygons but still are 2D figures are circles, ovals, and any other flat shape.
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Complete question
How can polygons be considered a subcategory of two-dimensional figures?
The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?
Answer:
Given:
Area of the sector (A) = 104π/9 square inches
Central angle (θ) = 65 degrees
The formula for the area of a sector of a circle is:
A = (θ/360) * π * r^2
We can rearrange this formula to solve for the radius (r):
r^2 = (A * 360) / (θ * π)
Plugging in the given values:
r^2 = (104π/9 * 360) / (65 * π)
r^2 = (104 * 40) / 9
r^2 = 4160 / 9
r^2 ≈ 462.22
Taking the square root of both sides:
r ≈ √462.22
r ≈ 21.49
Therefore, the radius of the circle is approximately 21.49 inches.
Answer: 8 inches
Step-by-step explanation:
A spherical chocolate covered candy hasa diameter of 8cm. 4Part of the candy is a chocolate shell thatis .5cm thick.What is the volume ofjust the chocolate shell?
We want to calculate the volume of the spherical shell of chocolate.
The chocolate shell is spherical with a thickness of 0.5cm
Volumes of spherical shells can be calculated with the formula;
\(V_{shell}=\frac{4}{3}\pi(R^3-r^3)\)The outer diameter is 8cm. The outer radius is therefore 4cm
The inner diameter is 8-2(0.5)=7cm. The inner radius is therefore 3.5cm
Therefore, we can find the volume of the chocolate shell as;
\(V_{shell}=\frac{4}{3}\pi(4^3-3.5^3)=88.5\operatorname{cm}^3\)Therefore,
\(V_{shell}=88.5\operatorname{cm}^3\)Trey plans to watch 2 movies each month. Write an equation to represent the total number of movies n that he will watch in m months.
Answer:
2n*m. when there is a one in front of a letter, it is immediately just the letter
find the value of x.
I need to show my work***
THANK YOU
Answer:
29 = x
Step-by-step explanation:
The two angles shown are vertical angles and vertical angles are equal
59 = 2x+1
subtract 1 from each side
59-1 = 2x+1-1
58 = 2x
Divide by 2
58/2 = 2x/2
29 = x
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life ( 150,000 miles of driving) of cars of a particular model varies Normally with mean 85 mg/mi and standard deviation 6 mg/mi. A company has 16 cars of this model in its fleet. Using Table A, find the level such that the probability that the average NOX + NMOG level ¯ for the fleet greater than is only 0.01 ?
Answer:
Mg/mi. A Company Has 16 Cars Of This Model In Its Fleet. ... The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in d ... organic gas (NMOG) in the exhaust over the useful life (150,000 miles of driving) of cars of a particular model varies Normally with mean 85 mg/mi and standard deviation 6 mg/mi.
Step-by-step explanation:
Using the normal distribution and the central limit theorem, it is found that the level is 88.49 mg/mi.
In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for the sampling distribution of sample means of size n, the standard deviation is \(s = \frac{\sigma}{\sqrt{n}}\)In this problem:
Mean of 85 mg/mi, thus \(\mu = 85\)Standard deviation of 6 mg/mi, thus \(\sigma = 6\)Sample of 16 cars, thus \(n = 16, s = \frac{6}{\sqrt{16}} = 1.5\)This level is the 1 - 0.01 = 99th percentile, which is X when Z has a p-value of 0.99, so X when Z = 2.327. Then:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(2.327 = \frac{X - 85}{1.5}\)
\(X - 85 = 2.327(1.5)\)
\(X = 88.49\)
The level is 88.49 mg/mi.
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Which sequence shows the numbers in order from least to greatest?
A. -2.14<3.16227766017<2.8
B. 2.8<3.16227766017<2.14
C. 2.14<3.16227766017 <2.8
D. 2.14<2.8<3.16227766017
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.
They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:
< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?
A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.
The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.
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−4x+3y=2
3x−9y=3
yes or no
Answer:
NO
step by step
the answer is no
Jeremy drew a figure that is parallelogram but not a rectangle
Answer:
2 acute angles and 2 obtuse angles (D)
2 pairs of parallel sides
i need help asp it’s due
what percent of 75 is 57?
Answer:
76%
Step-by-step explanation:
57/75
(57 X 100)/ 75
5700/75
1900/25
76/1
76