\(\frac{35}{2} \: or \: 17 \frac{1}{2} \)
Step-by-step explanation:
\(7 \times 2 \frac{1}{2} \)
Convert mixed number to fraction
\(2 \frac{1}{2} = \frac{5}{2} \\ \\ 7 \times \frac{5}{2} \)
Simplify
\( \frac{7}{1} \times \frac{5}{2} = \frac{35}{2} \)
Convert to mixed number
\(17 \frac{1}{2} \)
Ramon kept track of the number of hours that he spent playing the tuba each week for several weeks. He spent 1, 3,5, 4, and 7 hours. What is the range of the data set? A. 4 hours O B. 7 hours Q C. 5 hours D. 6 hours
Answer:b
Step-by-step explanation:
Tell me if I’m wrong or right!
The answer is D 6 hours
Write the equation −x+3y=6 in slope-intercept form. Then graph the line described by the equation.
Please help fast ?
Answer:
y=x/3+2
Step-by-step explanation:
Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.
3y=x+6
We need y so we divide both sides by 3 and we get
y=x/3+2
Answer:
y=1/3 + 2
Step-by-step explanation:
-x+3y=6
add x to both sides (if you add the same amount to both sides, the equation is still equal)
3y=-x+6
divide the whole thing by 3
y=1/3 + 2
so basically your slope is 1/3. That means you rise one, over three.
Plot a point at 2 on the y axis, which is the vertical line on the graph.
Go up one box, and then go right 3 and plot another point.
Keep doing the rise 1 over 3 until you have enough points for a line. 2 points should do, but more points on a graph = a better line.
By the way, slope-intercept form is y=mx+b.
m = slope (steepness of line, 1/3) b = y-axis intercept (the place that the line touches the y axis)
If you're still stuck with linear equations, take your equation and put it into Desmos graphing calculator, which can be found with a simple search.
Thanks, friend,
- throckmorton
what is (1/2 + isqrt3/2)^5?
Answer:
\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
Step-by-step explanation:
Convert 1/2 + i√3/2 to rectangular form
\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)
Use DeMoivre's Theorem
\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
Please help! What is the surface area of the cylinder with height 4 m and radius 8 m? Round your answer to the nearest thousandth.
Make sure to round please.
The surface area of the cylinder is 948m²
What is surface area of cylinder?The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;
SA = 2πr(r+h)
Where r is the radius of the base and h is the height of the cylinder.
r =8m
h = 4m
SA = 2 × 3.14 × 8 (8+4)
SA = 78.96 × 12
SA = 947.52 m²
to the nearest whole number
SA = 948 m²
therefore the surface area of the cylinder is 948 m²
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Help pls show work if needed
Let's add up the given scores to get: 97+38+88+75+83 = 381. Then we divide by 5 since there are five scores here. The mean we get is 381/5 = 76.2
So that explains the "76.2" mentioned.
Now we'll replace the "38" with "58" and repeat the same steps as above.
Add: 97+58+88+75+83 = 401
Divide by five: 401/5 = 80.2
The mean is now 80.2; it has increased compared to the previous mean. We can see that if we move any outliers closer to the main cluster, then the mean will be centered more around the main cluster. In the other direction, if we move the outlier further away from the cluster, then the outlier pulls on the mean. Think of a magnetic or gravitational pull.
The smaller outlier 38 made the mean of 76.2 to be smaller than it should be if we focused on the other values only. In short, if your data set has outliers, then the mean may likely not reflect the true center average value of the group. At that point, the median may be the next best thing or you could use a trimmed mean.
Find the amount of tax and the selling price
Answer:
$71.415 or $71.42 is the selling price and the taxing is 1
Step-by-step explanation:
This is because I just rounded that extra 5 to make the 41 cents into 42 cents also y=79.35(.9) is the equation you needed to solve so just put 79.35(.9) into a calculator and you'll get 71.415 also 10% turns into a decimal 0.10 and then you subtract it from 1 as a whole and you'll get 0.9. I'm not really a mathmatician but I just got done learning this so I know what to do.
f(x) = -2x^2+3x-6
how does the function open
Someone help with this equation
The answer is:
g(x + 1) = 6x + 1
g(4x) = 24x -5
Work/explanation:
To evaluate, I plug in x + 1 into the function:
\(\sf{g(x)=6x-5}\)
\(\sf{g(x+1)=6(x+1)-5}\)
Simplify
\(\sf{g(x+1)=6x+6-5}\)
\(\sf{g(x+1)=6x+1}\)
------------------
Do the same thing with g(4x)
\(\sf{g(4x)=6(4x)-5}\)
\(\sf{g(4x)=24x-5}\)
Hence, these are the answers.
Pls help I am stuck Tysm
The mistake that Katie made in the stem and leaf diagram, was that she D. Missed a length.
How did Katie miss a length ?Looking at the stem and leaf diagram, we see that there are 14 leaves. This means that there are 14 lengths of caterpillars. However, there are 15 lengths shown on the table.
This means that there is a length missing that Katie failed to account for. Upon close inspection of the stem and leaf plot, we find that the missing length is a second value of 70 because there are two lengths that are 70 but this is shown only once on the stem and leaf plot.
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22
Select the correct answer.
Which rational number is positive?
Ο Α. .
O
B.
C.
TI SI VA IT 13
OE.
Reset
Next
Answer:
\((c)\ \frac{6}{5}\)
Step-by-step explanation:
The question is incomplete as it has missing options.
See attachment for complete question and options..
From the attachment, we have:
\((a)\ \frac{-7}{9}\)
\((b)\ \frac{-8}{2}\)
\((c)\ \frac{6}{5}\)
\((d)\ \frac{3}{-2}\)
All but 6/5 are negative numbers.
This is so because:
\((a)\ \frac{-7}{9}\) has a negative sign at the numerator
\((b)\ \frac{-8}{2}\) has a negative sign at the numerator
\((d)\ \frac{3}{-2}\) has a negative sign at the denominator
Only \((c)\ \frac{6}{5}\) has positive integers at the numerator and denominator.
Maggie's brother is 5 years younger than twice her age. The sum of their ages is 22.
How old is Maggie?
Answer:
9 years old
Step-by-step explanation:
Let maggie's age be m,
and let maggie's brother's age be b
b = 2m - 5,
m + b = 22
Substitute "2m - 5" for b in the second equation (substitution)
m + (2m - 5) = 22 -> Remove parenthesis
m + 2m - 5 = 22 -> Combine like terms
3m = 22 + 5 = 27 -> Divide either side by 3
m = 27/3 = 9
Solution: Maggie is 9 years old
What is the answer to this
=====================================================
Work Shown:
Focus on triangle DEC. We have angle C is 48 and D is 74. Let's find angle E.
D+E+C = 180
74+E+48 = 180
E+122 = 180
E = 180-122
E = 58
----------
In the sequences ABC and DEC, we have B and E as the second letters. The order is important because the angles must align properly (so we know how they pair up). Therefore, angle B = angle E because triangle ABC = triangle DEC.
Furthermore,
angle B = angle E
2x = 58
x = 58/2
x = 29
A study is designed to determine whether grades in a statistics course could be improved by offering special review material. The 250 students enrolled in a large introductory statistics class are also enrolled in one of 20 lab sections. The 20 lab sections are randomly divided into two groups of 10 lab sections each. The students in the first set of 10 lab sections are given extra review material during the last 15 minutes of each weekly lab session. The students in the remaining 10 lab sections receive the regular lesson material, without the extra review material. The grades of the students who reviewed weekly were higher, on average, than the students who did not review every week. What type of study is this
Answer:
Experimental but not double-blinded study
Step-by-step explanation:
The type of study being described is an Experimental but not double-blinded study. That is because it is a study that has a control group, dependent variable, and an independent variable all used in order to acquire specifically targetted data from the results that are derived from the experiment itself. Also since the scientists/researchers know exactly which lab sections are getting the extra review material (independent variable), then that makes this a non-double-blinded study.
PLEASE HELP!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT
Petra jogs 2 miles in 22 minutes. At this rate, how long would it take her to jog 11 miles?
Petra would take ___ minutes to jog 11 miles.
Answer:
11 minute
Step-by-step explanation:
22 min/2 miles
11 min/ 1 mile
22 minutes ÷2=11 minutes for 1 mile
11 ×11=121 for 11 miles
Please help me
..........Ill give brainliest
Answer:
1)500
2)6450
3)50
4)30
5)1500
Step-by-step explanation:
What is the product?
7•(-3)
You make a scale drawing of a banner for a school dance. You use a scale of 1 inch =3 feet. What is the actual width of the banner?
the width was 6 inches
What is the type of angle pair?
Answer:
x=38 The angle type is alternate exterior
Step-by-step explanation:
Answer:
alternate angle pair are they
Step-by-step explanation:
# Jerry Don is here#
COMPLETE THE SENTENCE: Two lines that do not intersect and are also not parallel are ___
lines.
Answer: skew
Step-by-step explanation:
Just did it
a cylinder made of metal has radius of 18 cm and height 40 cm if melted how many smaller cylinders of radius 2 cm and height 5 cm can be made
Answer:
648
Step-by-step explanation:
Volume of a cylinder =Pi× r²×h
volume of the cylinder before melted
v=Pi×18²×40
v=40715.04cm³
Volume of the smaller cylinder
v=Pi×2²×5
v=62.83
40715.04÷62.83
=648.019
=648 small cylinder can be made
Giving a test to a group of students, the grades and gender are summarized below
The probability that a student chosen at random did not get a B 0.283 The probability of a student not getting a B is the number of students who did not get a B divided by the total number of students.
What does outcome mean?Outcome can be an event, such as the sum of two dice, or it can be a variable, such as the number of heads from a coin toss.
In this case, there are 21 students who did not get a B (2 male A's, 19 female A's, and 10 female C's), compared to a total of 74 students. Therefore, the probability that a student chosen at random did not get a B
= 21/74
= 0.283
To calculate this probability, we used the total number of students who did not get a B (21) divided by the total number of students (74).
This gives us the probability that a student chosen at random did not get a B.
In addition to using this method to find the probability of a student not getting a B, we can also find the probability of a student getting a B by subtracting the probability of not getting a B from 1.
In this case, the probability of getting a B would be
1 - (21/74)
= 0.71622.
This method can be used to calculate the probability of any outcome given the probabilities of all other outcomes.
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What is the value of 6 in the number 762
Answer:
60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
Hi,
Since the 6 is in the tenths place, it's a 60.
I hope this helps :)
Question 5 of 25The ages and grades of some of the 17 girls on a club soccer team areshown in the table.16 years old15 years old29th grade010th grade10Which two-way frequency table correctly shows the marginal frequencies?
ANSWER
Table D
EXPLANATION
We know that one of these tables shows the ages and grades of the 17 girls on a club soccer team.
Every two-way table that shows the marginal frequencies, must include in the lower right cell the total number of items surveyed - in this case, that number must be 17. Thus, the tables could be either A or D.
Also, the sum of all marginal frequencies must be equal to the total. In other words, the sum of the values of the right column of the table must be 17 and the sum of the values of the lower row must be 17 as well.
Hence, since it is the only table that meets the requirements mentioned above, the correct two-way frequency table is table D.
A test of the breaking strength of 6 ropes manufactured by a company
showed a mean breaking of and a standard deviation of s=150N, whereas
the manufacturer claimed a mean breaking strength of 8000N .Against the
alternative that it is less .Can we support the manufacturer’s claim at a level
of significance
Answer:
RESULTS: The study revealed that a 1% increase in access to improved sanitation would reduce infant mortality by a rate of about two infant deaths per 1000 live births.
calculate the mean deviation of the following numbers 8,5,7,10,3,4,31,12.
Answer:
5.75.
Step-by-step explanation:
The mean = (8+5+7+10+3+4+31+12)/ 8
= 80/8
= 10.
Now we calculate the difference of each value from the mean We take the absolute ( positive) differences
10 - 8 = 2
10 - 5 = 5
10 - 7 = 3
10 - 10 = 0
10-3 = 7
10 = 4 = 6
10 - 31 = 21
10 - 12 = 2
Sum of the differences = 46
and the mean deviation is 46/8 = 5.75.
Picture of coordinates (5,4) (3,4)
On a Cartesian plan
Both the coordinate points are plotted on the graph. The cartesian graph is attached with the answer.
What are coordinates?Coordinates are numbers which determine the position of a point or a shape in a particular space (a map or a graph). In the cartesian coordinate system, the coordinates are of the form (x, y).Other coordinate systems are : cylindrical and spherical coordinate systemGiven are the two coordinates to be plotted on a Cartesian plan -
(5, 4) , (3, 4).
The two given coordinate points are (5, 4) , (3, 4).
Refer to the graph attached. It shows both the points plotted.
Therefore, both the coordinate points are plotted on the cartesian graph.
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Which of the points below, when plotted on the graph, would connect with the other two points to form an isosceles triangle?A.(3,4)B.(6,3)C.(4,6)D.(2,5)
Answer:
c I believe
Step-by-step explanation:
can you help me with my question The strange occurrences reported by the chambermaid who cleaned Dr. Heidegger's den (In Paragraph 3 of "Dr. Heidegger's Experiment") are examples of A. personification. B. symbolism C. elements of gothic literature,
Answer:
C
Step-by-step explanation:
i took the same test
4. Optimize the equation P = 3x + y using the constraints> 0,3 < 4,y> -1 andy S5.What is the maximum?03O 170-1О5
The equation is given to be:
\(P=3x+y\)The inequalities used as a constraint for the equation are given to be:
\(\begin{gathered} x\ge0 \\ x\le4 \\ y\ge-1 \\ y\le5 \end{gathered}\)To optimize the equation, we will plot the inequalities using a graphing tool. The graph is shown below:
The white region of the graph represents the solution space.
The vertices of the graph will be used to optimize the equation. These are:
\((x,y)=(0,5),(4,5),(0,-1),(4,-1)\)At (4, 5):
\(P=3(4)+5=12+5=17\)At (0, 5):
\(P=3(0)+5=5\)At (0, -1):
\(P=-1\)At (4, -1):
\(P=11\)Therefore, the maximum value of P is 17.
The SECOND
Given the circle with center P below, what congruence statements can you write for the inscribed triangle?
The image is of a circle with center P. Triangle GLH is inscribed in the circle such that the point P lies inside the triangle.
A. HP¯¯¯¯¯¯≅LP¯¯¯¯¯¯
B. GP¯¯¯¯¯¯≅GL¯¯¯¯¯¯,HL¯¯¯¯¯¯≅HP¯¯¯¯¯¯
C. GP¯¯¯¯¯¯≅LP¯¯¯¯¯¯,GP¯¯¯¯¯¯≅HP¯¯¯¯¯¯,HP¯¯¯¯¯¯≅LP¯¯¯¯¯¯
D. GP¯¯¯¯¯¯≅HP¯¯¯¯¯¯,GP¯¯¯¯¯¯≅LP¯¯¯¯¯¯
Answer:
The Answer is C. GP¯¯¯¯¯¯≅LP¯¯¯¯¯¯,GP¯¯¯¯¯¯≅HP¯¯¯¯¯¯,HP¯¯¯¯¯¯≅LP¯¯¯¯¯¯
Step-by-step explanation: