Answer: C): when showing trends
Step-by-step explanation:
A Line graph connects different points such that it appears as a line. For this reason it is very useful in showing the trend in the movement of values overtime.
When plotting line graphs the independent variable for example 'months' is usually put on the x-axis and a dependent variable such as 'temperature' will be on the y-axis.
When plotted, the line will be able to show just how things have changed overtime such that the change is quite easy to see through the movement of the line.
Ryan is a runner. He can run 100 meters in 13 seconds. He
frequently races against Juan, who can run at a speed of 15
miles per hour. Which runner is faster? (1 mile = 1609.34
meters)
Answer:
Ryan: (100/13)(1/1,609.34)(3,600) =
17.21 miles per hour
Ryan is faster than Juan, by about 2.21 miles per hour
What is the circumcenter Theorem?
The circumcenter theorem states that the circumcenter of a triangle is the point of intersection of the perpendicular bisectors of the sides of the triangle. In other words, the circumcenter is the center of a circle that passes through all three vertices of the triangle.
What is the circumcenter Theorem?The circumcenter theorem is a fundamental theorem in geometry and is used in the construction of the circumcenter of a triangle. The circumcenter is the point of intersection of the perpendicular bisectors of the sides of the triangle, and its coordinates can be determined by the coordinates of the triangle's vertices.
This theorem is useful in many applications, such as in: the construction of a triangle from its circumcenter, or in determining the distance between two points. It can also be used to determine the area of a triangle from its three vertices. The circumcenter theorem has been studied for centuries, and it is still an important tool for geometers and mathematicians today.
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The solution of 12 + 2x – x = 9x + 28
Answer:
x = -2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Carlos drove 200 miles in 5 hours. If he drove at a constant rate, how many miles did Carlos drive per hour?
Answer:
40
Step-by-step explanation:
200/5=x/1
Answer:
40
Step-by-step explanation:
200/5 = 40
nice dumb questions
Each student was asked to create an expression whose quotient is 1/3. each student and the response can be seen on table below.
Answer:hi I believe is is Ben and Elizabeth
Step-by-step explanation:
The graph shows the distribution of the lengths (in seconds) of videos on a popular video-streaming site. The distribution is approximately Normal, with a mean of 264 seconds and a standard deviation of 75 seconds.
A graph titled Streaming Videos has length (seconds) on the x-axis, going from negative 36 to 564. The highest point of the curve is at 264.
What percentage of videos on the streaming site are between 264 and 489 seconds?
0.15%
49.85%
95%
99.7%
According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.
To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.
First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:
z1 = (264 - 264) / 75 = 0
z2 = (489 - 264) / 75 = 3
Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .
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3(2x+1)=7x-2 find the value of x
Answer:
5
Step-by-step explanation:
3(2x+1)=7x-2
6x + 3 = 7x - 2
6x - 7x = -2 - 3
-x = -5 /(-1)
x = 5
Answer:
5
Step-by-step explanation:
3 ( 2x + 1 ) = 7x - 2
Step 1 : Remove the parentheses
6x + 3 = 7x - 2
Step 2 : Move the variable to the left-hand side and move extra number the right-hand side
6x + 3 = 7x - 2
-7x -3 -7x -3
6x - 7x = -2 - 3
Step 3 : Combine like terms
-x = -5
Step 4 : Change the sign to make x positive
x = 5
SOLUTION : x = 5
Hope this helps :)
You fill a 10 1/2 gallon tub 1/3 full of water. How many gallons of water are in the tub?
Answer:
3.5
Step-by-step explanation:
10.5 divided by 3= 3.5
Janeile has 6 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back these
distance to cool down if she runs at a speed of 9 mph and walls back at a speed of 3 mph, how long should she plan to spend láng bade
Answer:
running 1.5 hours
Walking 4.5 hours
Step-by-step explanation:
Let the amount of time she spends on walking be x
d/3 + d/9 = 6 Multiply by 9
3d + d = 6*9
4d = 54 Divide by 4
4d/4 = 54/4
d = 13 2/4 = 13 1/2 = 13.5 miles
d/3 = 13.5/3 = 4.5 hours
d/9 = 13.5/9 = 1.5 hours
Total 6 hours
I hope this is the right interpretation.
Find the greatest common factor of 10, 30, and 45.
Answer:
5
Step-by-step explanation:
∴ The greatest number that divides 10, 30, and 45 is \( { \underline{ \boxed{ \orange{ \tt{5}}}}} \)
Hope it help ;)
Theo has one piece of train track that is 74 millimeters long and a second piece of train track that is 97 millimeters long.
How many meters of track does Theo have in all?
0.171 m
1.71 m
17.1 m
171 m
Help please!!!! I’ll appreciate it so much!
Answer:
13. x = 4
14. x = -16
15. x = 11
Step-by-step explanation:
solve equation
log 4x=2
Answer: x=25
Step-by-step explanation:
log 10 4x = 2
10^2 = 4x
100 = 4x
25 = x
simplify the expresion (5÷5)+5×(5²- 5)
Answer: 101
Step-by-step explanation: 1+5x20 then 100+1= 101
Solve 8x+5y=2 and y-2=0.Also verify thmm....
Answer:
Solution: Here, the given equations are,
\(: \implies8x+5y=2...(i)\:and\:y-2=0...(ii)\)
From equation,(ii); y-2=0
\( \therefore \: y = 2.........(iii)\)
Substituting the value of y from equation (iii) to equation (i),we get
\(: \implies{8x + 5y = 2}\)
\(: \implies{8x + 5(2) = 2}\)
\(: \implies{8x = 2 - 10}\)
\(: \implies{8x = - 8}\)
\(: \implies{x = - 1}\)
\( \therefore \: x = - 1\)
Thus, x= -1 and y= 2 is the solution.
Checking at (-1,2)8x+5y=2...(i) y-2=0...(ii)
8(-1)+5(2)=2 2-2=0
2=2(True) 0=0(True)
answer quickly please
Davis earned $3,000 at the bookstore. If he worked for 50 weeks and earned
the same amount of money each week, how much did he earn per week?
A. $60
B. 40
C. 20
D. 30
Answer:
Step-by-step explanation:
A. 3000/50 is 60
Solve 3(z+1) + 11 < -2(z+13)
Answer:
The answer is z < -8. First of all, you use distributive property to get rid of the brackets. 3(z) = 3z and 3(1) = 3. The left side of the equation is now 3z + 3 + 11. Then, on the other side, -2(z) = -2z and -2(13) = -26. The right side of the equation is now -2z - 26. Then we combine like terms on the left side so we end up with 3z + 14 while the other side is still -2z - 26. We can put all of the z on the left side, so add 2z to both sides and then we have 5z + 14 < -26. We can put all of the “regular” numbers on the right side, so subtract 14 from each side and then we have 5z < -40. Divide each side by 5 and you end up with z < -8!
Step-by-step explanation:
Convert 0.00001 to a power of 10.
Answer:
10^-5
Step-by-step explanation
Move the decimal to the right 5 places. Moving to the right makes the power a negative, moving to the left would make it a positive.
4(3x-6) + (x + 22) how do I simplify it?
Answer:
13x - 2
Step-by-step explanation:
First Were going to do the distributive property:
So, 4(3x) + 4(-6) = 12x + -24
Now we have :
12x - 24 + x + 22
Now we have to add like terms together:
So, 12x + x = 13x
and 22-24 = -2
So in the end we have 13x -2
half of the quantity of 6 less than a number f is 4
Answer:
I believe 10
Step-by-step explanation:
the reason I believe it is 10 is because that is the main mathematical explanation for this equation
what is the domain and range of f(x)=2x+3
Answer:
D:{x∈R}
R:{y∈R}
Step-by-step explanation:
This is just a linear function. I know this because the degree of the x-variable is 1.
Domain and range are sets of possible values the function can have - though not necessarily at the same time.
Thus, there are no restrictions to the domain and range unless context is given.
Therefore, the domain and range is:
D:{x∈R}
R:{y∈R}
Grain elevators are conveyor belts used throughout the Midwest to take produce, like wheat, to the top of a silo for storage. The conveyor belt is approximately 70.7 feet long and rises from the ground at 45˚. What is the height of the silo? Round to the nearest foot.
Group of answer choices
65 feet
100 feet
86.6 feet
50 feet
Answer:
B. 100 feetStep-by-step explanation:
We are looking for the length of the hypotenuse of the 45° right triangle with side of 70.7 ft.
We know the equation:
h = s√2, is the length of the hypotenuse and side sSubstitute and calculate:
h = 70.7*√2 = 99.98 ≈ 100 ftCorrect choice is B
Match each pair of points a and B to point C such that ABC equals 90°
I don't really get what you mean
A caterer needs to make 645 meals for a business meeting. She has made 432 meals. How many more medals does she need to make?
Function represents
Step-by-step explanation:
Hope it's help you ♥️♥️
please help asap
Addition prop of equality
subtraction prop of quality
multiplication prop of equality
Division prop of equality
simplifying
distrib prop
Answer:
multiplication prop of equality, (multiplying both sides by 6)
simplifying, (not distrib prop as there is no parentheses)
Addition prop of equality, (adding 18 to each side)
simplifying
As part of an insurance company’s training program, participants learn how to conduct an analysis of clients’ insurability. The goal is to have participants achieve a time in the range of 30 to 47 minutes. Test results for three participants were: Armand, a mean of 37.0 minutes and a standard deviation of 3.0 minutes; Jerry, a mean of 38.0 minutes and a standard deviation of 2.0 minutes; and Melissa, a mean of 38.5 minutes and a standard deviation of 2.9 minutes.
a.Which of the participants would you judge to be capable? (Do not round intermediate calculations. Round your answers to 2 decimal places.)
Participants :
Armand: Cpk _____ Cp Capable ? No/Yes
Jerry: Cpk _____ Capable ? Yes/No
Melissa Cp ________ No/Yes
b.Can the value of the Cpk exceed the value of Cp for a given participant?
yes or no
Answer:
1) cpk < 1.33, therefore it is not capable
b) cpk = 1.33, therefore it is capable
c) cpk < 1.33, therefore it is not capable
2) Cpk can never be greater than the Cp, but can be equal to it
Step-by-step explanation:
Upper limit (USL) = 47 minutes and Lower limit (LSL) = 30 minutes
1)
a) mean (μ) = 37 minutes, standard deviation (σ) = 3 minutes
\(cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-37}{3*3},\frac{37-30}{3*3} )=min(1.11,0.78)=0.78\)
\(cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*3}=0.94\)
cpk < 1.33, therefore it is not capable
b) mean (μ) = 38 minutes, standard deviation (σ) = 2 minutes
\(cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-38}{3*2},\frac{38-30}{3*2} )=min(1.5,1.33)=1.33\)
\(cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*2}=1.42\)
cpk = 1.33, therefore it is capable
c) a) mean (μ) = 38.5 minutes, standard deviation (σ) = 2.9 minutes
\(cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-38.5}{3*2.9},\frac{38.5-30}{3*2.9} )=min(0.98,0.98)=0.98\)
\(cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*2.9}=0.98\)
cpk < 1.33, therefore it is not capable
2) Cpk can never be greater than the Cp, but can be equal to it
?Half of the sum of a number n and 17 is equal to 6. What is the number n?
Answer:
n=4
Step-by-step explanation:
(18-n)/2=n + 3
Multiply sides by 2
18-n=2n+6
add n +n +n
18=3n+6
-6 -6
subtract 6 from both sides
12=3n to isolate n dived 3
/3 /3
n=4
Answer:
n= -5
Step-by-explanation:
The options were
A. -14
B. -5
C. 20
D. 29
If you try each of them you will see that
-5+17=12
and 12/2=6
therefore: n= -5
NO LINKS!! URGENT HELP PLEASE!!
Using the information given in each diagram below, decide if any triangles are congruent, similar but not congruent, or similar. If you claim the triangles are congruent or similar, create a flowchart justifying your answer. Part 1
Please help me with #22 and 24
Answer:
22. Congruent traingle
24. Similar traingle
We need to compare their corresponding sides and angles to determine if the two triangles are congruent or similar.
Attached flowchart to help you determine if two triangles are congruent or similar: See Attachment:
Properties of the similar triangle:
Corresponding angles are congruent: The corresponding angles of similar triangles are congruent. This means that if we label the corresponding angles of two similar triangles as A, B, and C and A', B', and C', respectively, then angle A is congruent to angle A', angle B is congruent to angle B', and angle C is congruent to angle C'.Corresponding sides are proportional: The corresponding sides of similar triangles are proportional. This means that if we label the corresponding sides of two similar triangles as a, b, and c and a', b', and c', respectively, then a:b::a':b' and b:c::b':c'.Ratios of corresponding sides are equal: The ratios of the corresponding sides of similar triangles are equal. This means that a/b = a'/b' and b/c = b'/c'.Perimeters and areas are proportional: The perimeters of similar triangles are proportional to the ratios of their corresponding sides, and the areas are proportional to the ratios of their corresponding sides squared. For example, if the ratio of the corresponding sides of two similar triangles is 2:3, then the ratio of their perimeters is also 2:3, and the ratio of their areas is 4:9.Height and base are proportional: The height of similar triangles is proportional to the ratios of their corresponding sides. This means that if two similar triangles have heights h and h', respectively, and corresponding sides a and a', then h/h' = a/a'. Similarly, if the triangles have bases b and b', then the ratio of their heights is also b/b'.Properties of the Congruent Triangle:
Corresponding sides and angles are congruent: In congruent triangles, corresponding sides and angles are congruent. This means that if we label the corresponding angles of two congruent triangles as A, B, and C and A', B', and C', respectively, then angle A is congruent to angle A', angle B is congruent to angle B', angle C is congruent to angle C', and side AB is congruent to side A'B', side AC is congruent to side A'C', and side BC is congruent to side B'C'.Congruent triangles have equal perimeters: Congruent triangles have the same size, so their perimeters are equal.Congruent triangles have equal areas: Congruent triangles have the same size, so their areas are equal.The sum of interior angles is always 180 degrees: The sum of the three interior angles of a triangle is always 180 degrees, regardless of whether the triangle is congruent or similar.The altitude, median, and angle bisector of a triangle are also congruent: In congruent triangles, the altitude, median, and angle bisector of one triangle are congruent to the corresponding altitude, median, and angle bisector of the other triangle.how do you find the probability of a sample space
Answer:
Use the formula P = Specific Event / Sample Space to find the sample space.