Answer:
That is a variable.
Step-by-step explanation:
- opposed to a constant which is known and does not change.
What three-dimensional object would be generated by the rotation of the semi circle about the x axis ?
If a semicircle is rotated about the x axis of the graph then the resulting three dimensional shape will be a sphere.
Given a semicircle on a graph.
A semicircle is a half circle .A sphere is a geometrical object that is a three dimensional shape , It is the set of points that are all at the same distance r from given point in three dimensional shape.
Rotation is basically an action of rotating around an object or an axis.
If a semicircle is rotated about x axis then the resulting figure will be a sphere. This is because of the fact that when the semi circle is rotated about the x axis then all the points will be at equal distance in all directions from the center.
Hence if a semicircle is rotated about x axis then the resulting figure will be a sphere.
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Do the points (1,2) , (51,27) and (91,48) lie on a straight line? give reason for your answer
Answer:
No. They cannon be on the same straight line.
Step-by-step explanation:
As explained in the attached graphic, the slopes are slightly different between the three points.
The line plot shows the prices of sunglasses at a department store.
a. Find the mean, median, and mode.
b. Which measure best describes the data? Why?
c. Which measure might be misleading in describing the average price of sunglasses? Explain your reasoning.
The measure that best describes the data is the median and the measure that might mislead the data is the mode
How to determine the mean, median and mode?The mean is calculated as:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
So, we have:
[tex]\bar x = \frac{20* 2 + 50 * 3 + 60 * 6 + 70 * 3 + 80 * 4 + 90 * 4 + 100 * 2 + 130 * 1}{25}[/tex]
This gives
[tex]\bar x = \frac{1770}{25}[/tex]
[tex]\bar x = 70.8[/tex]
So, the mean is 70.8
The median is the middle number, and the position is calculated using
Median = (n + 1)/2 th
This gives
Median = (25 + 1)/2 th
Median = 13th
The 13th element is 70
So, the median is 70
The mode is the data element with the highest frequency.
So, the mode is 60
The measure that best describes the dataThe line plot has outliers at 20 and 130.
This is so because 20 and 130 are far from other data values
When a dataset has an outlier, the best measure is the median
Hence, the measure that best describes the data is the median.
The measure that might mislead the dataThe measure that might mislead the data is the mode
This is so the highest occurring value does not necessarily represent the dataset
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3 quick algebra 1 questions for 50 points!
Only answer if you know the answer, quick shout-out to Mr.Royal, tysm for the help!
#1
h(t)=-16t²+58t+2h(2.5)
-16(2.5)²+58(2.5)+2-16(6.25)+145+2147-10047ftAfter 2.5s the ball was at 47ft
#2
g(x)=x²-9g(0)
-9g(4)
4²-9=16-9=6g(7)
7²-949-940Range
{-9,6,40}#3
f(-3)=5f(0)=0f(1)=-3Which equations are correct? select three options. n = 10 n = 7 cf = 59 fe = 42 cd = 30
Based on the calculations on this parallelogram, the correct equations are:
n = 10CF = 59FE = 42The properties of a parallelogram.Based on the image of the parallelogram shown in the image attached below, we can logically deduce that the opposite sides of this parallelogram are all equal. Thus, we have:
Side DE = Side CF
6n - 1 = 5n + 9
6n - 5n = 9 + 1
n = 10.
From Side CF, we have:
CF = 5n + 9
CF = 5(10) + 9
CF = 59.
For the measure of side FE, we have
FE = 4n + 2
FE = 4(10) + 2
FE = 42.
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Complete Question:
Figure CDEF is a parallelogram.
Parallelogram C D E F is shown. The length of F C is 6 n minus 1, the length of C D is 4 n + 2, and the length of D E is 5 n + 9.
Which equations are correct? Select three options.
n = 10
n = 7
CF = 59
FE = 42
CD = 30
Answer:
A,C,D
Step-by-step explanation:
1 1/5 · x/3 = 9/10
solve for x
The value of x in the equation 1 1/5 - x/3 = 9/10 is 9/10
Fraction1 1/5 - x/3 = 9/10
- x/3 = 9/10 - 1 1/5
- x/3 = 9/10 - 6/5
-x/3 = 9-12 / 10
-x/3 = -3/10
divide both sides by - 1/3x = -3/10 ÷ - 1/3
= -3/10 × -3/1
x = 9/10
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A _______ probability of an event is a probability obtained with knowledge that some other event has already occurred.
A conditional probability of an event tells us that the event has already occured.
Given a _______ probability of an event is a ............. other event has already occurred.
We have to fill the blank with appropriate term or word associated with probability.
The right term is conditional.
Conditional probability of an event is a probability obtained with knowledge that some other event has already occured.
It is denoted as P(A I B).
It satisfies the following equation:
P(AIB)=P(A and B ) / P(B)
where P( A and B) is the probability of A and B together.
Hence conditional probability of an event is obtained with knowledge that some other event has already occured.
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What is the length of AC?
Answer:
Step-by-step explanation:
you are right AC is 16 because A-C are the same length
A manufacturer must test that his bolts are 4.00cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 81 randomly selected bolts off the assembly line, he calculates the sample mean to be 3.97cm. He knows that the population standard deviation is 0.14cm. Assuming a level of significance of 0.01, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines
The p-value(0.0538) is greater than the given significance level of 0.01. So, there is no sufficient evidence to show that the manufacturer needs to recalibrate the machines.
What is the test statistics formula for finding the p-value approach of hypothesis testing?The test statistics formula for finding the z-score is,
z = (X - μ)/(σ/√n)
Where,
X = sample mean
μ = population mean
σ = population standard deviation
n = sample size
With this z-score, the p-value is calculated. If p > α, then the null hypothesis is not rejected, and if p < α, then the null hypothesis is rejected.
Calculation:It is given that,
The population mean μ = 4.00
The sample size n = 81
The sample mean X = 3.97
The standard deviation σ = 0.14
and the significance level α = 0.01
So, the hypothesis is:
The null hypothesis: H0: μ = 4
The alternative hypothesis: Ha: μ ≠ 4
Thus, the test statistic value is,
z = (X - μ)/(σ/√n)
= (3.97 - 4)/(0.14/√81)
= - 0.03/0.015
= -1.928
So, for z = -1.928, the p-value is 0.053855
Since p > 0.01, there is no sufficient evidence to show that the manufacturer needs to recalibrate the machines.
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Identify m∠EFH.
The figure shows triangle G F H. Angle G is equal to 76 degrees. A measure of angle H is given by the formula 3 times x minus 3 degrees. Side G F lies on ray G F with endpoint G. Angle H F E is an exterior angle and its measure is given by the formula 8 times x plus 8 degrees.
Based on the calculations, the magnitude of m∠EFH is equal to 112°.
How to find the magnitude of m∠EFH?In Geometry, the sum of two (2) non-adjacent interior angles in a triangle is equal to its exterior angle. Thus, we have:
(3x - 3) + 76 = 8x + 8
3x + 73 = 8x + 8
73 - 8 = 8x - 3x
65 = 5x
x = 65/5
x = 13.
From triangle GFH, we have:
m∠EFH = ∠F = 8x + 8
m∠EFH = 8 (13) + 8
m∠EFH = 104 + 8
m∠EFH = 112°.
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If t = 18 and r = 12, find S. Round to the nearest tenth.
Answer:
13.4 or √180
Step-by-step explanation:
Pythagorean theorem states
a² + b² = c²
C^2 is the longest side. The corner of the right angle points to it. The other sides are your a and b squared. They are called the legs or Opposite and Adjacent sides.
Answer: S ≈ 48.2°
Step-by-step explanation:
We can use trigonometry functions to solve.
Looking at angle S, t = 18 is the hypotenuse and r = 12 is the adjacent side. This means we can use the cosine function.
[tex]\displaystyle cos(S) = \frac{\text{adjacent side}}{\text{hypotenuse }}=\frac{12}{18}[/tex]
[tex]\displaystyle cos^{-1} (cos(S)) = (\frac{\text{adjacent side}}{\text{hypotenuse }}=\frac{12}{18})cos^{-1}[/tex]
[tex]S = 48.189685...\\S \;$\approx$\; 48.2^{\circ}[/tex]
Right triangle J K L is shown. Line L J has a positive slope. A dotted and horizontal line is drawn to point J to form an angle of 53 degrees.
What is the measure of the angle of elevation from point L to point J?
37°
45°
53°
137°
The angle formed at J and the angle of elevation at L are alternate angles, such that the angle of elevation is 53°
Which method can be used to find the angle of elevation?The given parameters are;
Triangle ∆JKL is a right triangle
The slope of the line LJ = Positive
The angle formed by the horizontal line at J = 53°
Required;
The angle of elevation from point L to point J
Solution;
The angle of elevation at L is formed by an horizontal line drawn at L.
The two horizontal lines are parallel, and the angle of elevation at L is the alternate angle to the angle formed by the horizontal line at J.
Given that alternate angles formed between parallel lines having a common transversal are equal, we have;
The measure of the angle of elevation at L is the same as the angle formed at J which is 53°Learn more about angles formed by parallel lines that have a common transversal here:
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Answer:
C. 53 degrees
Step-by-step explanation:
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A parabola is represented by the equation y2 = 5x. which equation represents the directrix?
The value of the directrix is -5/4.
According to the statement
we have given that the equation of parabola is y2 = 5x. And we have to find that the which equation represents the directrix.
We know that the general equation of parabola is
(y - k)2 = 4a(x - h) -(1)
and given parabola equation is
y2 = 5x. -(2)
After comparing the both equations we get k=0 and h=0
And the formula to find the directrix is
x = h - a
Substitute the values of h and a in it then
x = 0-5/4
x = -5/4.
Here the directrix is -5/4.
So, The value of the directrix is -5/4.
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Ryan called each school in the district to determine wether or not they have a recycling program. What is true about Ryan’s data collection
Ryan's data collection is true that Ryan did a survey he asked about qualitative data.
Given that Ryan called every school in the district to find out if they had a recycling program.
We know that there are two types of data:
Quantitative data deals with numbers and things that we can count or measure such as dimensions such as height, width, and length.
Qualitative data relating to characteristics and descriptions cannot be counted or measured, but are observable by their qualities such as smell, taste, and color.
If we ask for quantitative data, the survey will be quantitative. Data recycling means the quality of the data available.
They can ask for a yes or no answer, as in the Ryan investigation.
Hence, the correct statement about Ryan's data collection is: Ryan conducted a survey in which he asked about qualitative data.
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HELP! 10 POINTS+Braniest
A cylindrical package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 123 inches. Find the dimensions of the package of maximum volume that can be sent. (The cross section is circular.)
The height of package is 34 inches.
According to the statement
we have given that the perimeter of cylinderical package is 123 inches.
and we have to find the volume of this package.
So,
According to the perimeter
2(Pi)r + h = 123
and then
h = 123 - 2(Pi)r
then the volume become
V = (Pi) r^2h
V= (Pi) r^2 * [ 123 - 2(Pi)r ] = 123 (Pi) r^2 - 2(Pi)r^3
then differentiate it
dV/dr = 246(Pi) r - 6(Pi)r^2
Now take
r(246(Pi) - 6(Pi)r) = 0
then neglect r=0 and then find another value of r.
r = 246(Pi) / 6(pi)
here r=41 then
h = 123 - 2(Pi)r
h = 123 - 2(3.14)41
h = 123 - 2(Pi)r
Then put the value of r then h = 34 inches.
So, The height of package is 34 inches.
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A right-angled triangle has a hypotenuse of length 8 and another side of length 3.
Find the length of the unknown side g.
Write each step of working as an equation and give the answer to two decimal places
Answer:
The file contains the solution to the above question
what ac is equal to
Answer:
AC = 10
Step-by-step explanation:
Formula
(x + 1) + (x + 3) + 2x = 40 Remove the brackets
Solution
x + 1 + x + 3 + 2x = 40 Collect like terms
4x + 4 = 40 Subtract 4 from both sides
4x +4 -4 = 40 - 4 Combine
4x = 36 Divide both sides by 4
4x/4 = 36/4
x = 9
AC = x + 1
AC = 9 + 1
AC = 10
Circle U is shown. Chords R T and Q S intersect at a point forming 4 angles. The top left angle is angle 1, and the top right angle is angle 2. Arc R Q is 53 degrees and arc S T is 47 degrees. Angle 1 intersepts arc R Q. Angle 2 intersepts arc R S.
What are the measures of angles 1 and 2?
m∠1 =
°
m∠2 =
°
Answer:
∠1 = 50°∠2 = 130°Step-by-step explanation:
The relation between intercepted arcs and angles at crossing chords can be used to find the angles of interest. That relation tells you the angle where the chords cross is half the sum of the intercepted arcs.
Angle 1The arcs intercepted by the chords making angle 1 are given as 53° and 47°. Half their sum is the measure of angle 1:
∠1 = (53° +47°)/2 = 100°/2
∠1 = 50°
Angle 2Angles 1 and 2 form a linear pair, so angle 2 is the supplement of angle 1.
∠2 = 180° -∠1 = 180° -50°
∠2 = 130°
Based on the calculations, the measures of angles 1 and 2 are 50° and 135° respectively.
What is the theorem of intersecting chord?The theorem of intersecting chord states that when two (2) chords intersect inside a circle, the measure of the angle formed by these chords is equal to one-half (½) of the sum of the two (2) arcs it intercepts.
By applying the theorem of intersecting chord to circle U shown in the image attached below, we can infer and logically deduce that angle 1 will be given by this formula:
m∠1 = ½(53 + 47)
m∠1 = ½(100)
m∠1 = 50°.
Since angles 1 and 2 are linear pair, they are supplementary angles. Thus, we have:
m∠1 + m∠2 = 180°
m∠2 = 180 - m∠1
m∠2 = 180 - 50
m∠2 = 130°.
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David drives from his home to the airport to catch a flight. He drives 35 miles in the first hour, but realizes that he will be 1 hour late if he continues at this speed. He increases his speed by 15 miles per hour for the rest of the way to the airport and arrives 30 minutes early. How many miles is the airport from his home
The distance between David's home and the airport is 210 miles.
Distance traveled after 1 hour
let the distance traveled after first 1 hour = y
distance/speed = time
after 1 hour his speed = (35 + 15) = 50 mph
total time after 1 hour and 30 mins = 1.5 hr
y/50 + 1.5 = y/35
multiply through by350
7y + 525 = 10y
3y = 525
y = 525/3
y = 175 miles
In the first 1 hour, at 35 mph, distance covered = 35 miles
Distance from his home to airport = 175 miles + 35 miles = 210 miles
Thus, the distance between David's home and the airport is 210 miles.
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Gavin made a patio area out of square blocks that are by . The area of his patio is and the length is . a) Determine the width of his patio. b) Determine the number of blocks Gavin used to make his patio.
The width of his patio is 19.5 feet based on the information about the area given.
How to calculate the width?Area = Length × Width
175.5 = 19.5 × w
Width = 175.5/19.5
Width = 9 feet
The width of his patio is 19.5 feet.
The number of blocks that were used will be:
= 175.5/(1.5 × 1.5)
= 175.5/2.25
= 78 blocks
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Complete question
Gavin made the patio area out of square block that are 1.5 by 1.5 feet. The area of the patio is 175.5 ft² and the length is 19.5ft.
a. Determine the width of his patio.
b. Determine the number of blocks Gavin used to make his patio.
Which of these is a characteristic of certificates of deposit (CDs)? O They are always offered at variable rates They last for a set period of time They can be opened with any amount of money O They allow access to the money at any time without penalty
The characteristic of certificates of deposit (CDs) is that it last for a set period of time and is denoted as option B.
What is Certificate of deposit?This is also referred to as time deposit and is characterized by a lump sum being saved at a fixed period of time and is stricter than the normal savings system.
This type of savings has a fixed interest rate and can't be withdrawn before the maturity date unlike savings account which can be accessed at any point in time which makes it unique and is therefore the most appropriate choice.
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help please i’m not sure if it’s c
the answer is infact c!
Comparing Ratios Using Fractions
Compare 4:10 and 12:20 using fractions. Which ratio is
smaller? How do you know?
Answer:
4:10
Step-by-step explanation:
4:10 = 4/10 = 2/5
12:20 = 12/20 = 6/10 = 3/5.
So 4:10 is smaller than 12:20 because 2/5 is less than 3/5.
Answer:
4:10
Step-by-step explanation:
First, I wrote each ratio as a fraction. Then I found a common denominator of 20. The fraction 4/10 is 8/20. Comparing numerators, 8 is less than 12, so the ratio 4:10 is smaller.
Identify which of the following is not equivalent to 2 3/4.
The figure that is not equivalent to 2¾ is 2¼ × 2½. That is option B.
Simplification of equivalent fractionsSimplification is a process that is used to make a fraction appear in its simplest forms.
The fraction given is = 2¾
The simplification of the fraction= 2^3/4 = 2
But simplification of 2¼ × 2½ is equal to;
2¼= 0.5
2½= 1
Therefore 2¾ is not equivalent to 2¼ × 2½ when simplified.
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v = u + at
if v=10,t=2,and u=5,find the value of a
Answer:
2.5
Step-by-step explanation:
v = u + at is one of the kinematics equations.
Given v = 10, t = 2, u = 5, we will substitute these values into the equation to find a.
[tex]v = u + at\\10=5+2a\\2a=10-5\\2a = 5\\a = \frac{5}{2} \\= 2.5[/tex]
A new Outdoor Recreation Center is being built in Hadleyville. The perimeter of the rectangular playing field is 318 yards. The length of the field is 5 yards less than
triple the width. What are the dimensions of the playing field?
yards.
Answer:
41 yards by 118 yards
Step-by-step explanation:
Let W and L be the Width and Length of the playing field:
The perimeter, P, would be P = 2W + 2L
We are told that P = 318 yards.
We learn that L = 3W - 5
Combining this information, we can say:
P = 2W + 2L [Oriinal equation]
318 = 2W + 2L [P is 318]
318 = 2W + 2(3W-5) [ Use the definition of L = 3W - 5]
318 = 2W + 6W - 10
328 = 8W
W = 41 yards
Use this value of W to find L:
L = 3W - 5
L = 3(41) - 5
L = 123 - 5
L = 118
CHECK
Does 2*(118) + 2*(41) = 318? YES
Is the length 5 yards less than triple the width?
3*(41) - 5 = 118 YES
The measure of each exterior angle of a regular polygon is $30$ degrees. What is the sum of the measures of the interior angles, in degrees
Answer: 1800
Step-by-step explanation:
Exterior angles of a polygon add to 360 degrees, so this means the polygon has 12 sides.
We also know that since an interior angle and its corresponding exterior angle are supplementary, each interior angle is 150 degrees.
Therefore, the sum of the measures of the interior angles is (150)(12)=1800 degrees.
A data value is considered _______ if its z-score is less than 2 or greater than 2.
A data value is considered significantly low or significantly high if its z-score is less than -2 or greater than 2.
What does it mean if z-score is 2?
A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean. A negative z-score reveals the raw score is below the mean average. For example, if a z-score is equal to -2, it is 2 standard deviations below the mean.What does a standard deviation of 2 mean?
Standard deviation tells you how spread out the data is. It is a measure of how far each observed value is from the mean. In any distribution, about 95% of values will be within 2 standard deviations of the mean.Learn more about standard deviation
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The correct question is -
A data value is considered _______ if its z-score is less than minus−2 or greater than 2.
Which statement is true regarding the graphed functions?
141x
12-
10-
g(x)
8-
3)
6
fin
2+
7-6-5-4-3-2-12 1 2 3 4 5 6
-4
-6
-8+
ܘ
-10+
-12+
-14
f(x)
个x
X
The true statement regarding the graphed function is that f(-2) = g(-2).
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given is a graphed function.
The graph contains two functions f(x) and g(x).
From the graph, it is clear that,
The two graphs intersect at a certain point, where the both functions passes through.
The intersecting point is (-2, 4).
This point can be written as (-2, f(-2)) and (-2, g(-2)).
This implies that,
f(-2) = g(-2)
Hence the true statement is f(-2) = g(-2).
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Your question is incomplete. The complete question is as given below.