Carter, a forward on his school basketball team, has played in 8 games since starting high school. The number of points he scored at those games was:
5 points1 point4 points6 points2 points5 points2 points2 points
What was the median number of points scored?
Answer:
2 and 4 are the medians
Step-by-step explanation:
Andrew walked 10 miles in 6 hours. What was his walking rate in hours per mile?
Answer:
I think it's 1.7 hours
Step-by-step explanation:
The table above gives population and employment numbers for a hypothetical country. What is the unemployment rate in this country? Round your answer to the nearest whole percent if necessary
WHAT IS THE ANSWER HELP lol
Answer:B. 17%
A.83%
B.17%
C.20%
D.10%
The unemployment rate in this hypothetical country is equal to 17%.
How to calculate unmployment rate.First of all, we would determine the percentage of people that are employed and then subtract this percentage from the total percentage of 100%.
The table below gives the complete information about the population and employment numbers for a hypothetical country:
Total population = 1,000Total population over 16 years of age = 800Total labor force = 600Total employment = 500Mathematically, employment rate can be calculated by using this formula:
[tex]Employment\;rate = \frac{Employed}{Labor\;force} \times 100\\\\Employment\;rate =\frac{500}{600} \times 100\\\\[/tex]
Employment rate = 83.3 ≈ 83%.
For the unemployment rate, we have:
Unemployment rate = 100 - 83
Unemployment rate = 17%.
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find a series expansion for pi using the Maclaurin expansion for arctan(x) and the fact that tan(pi/4)
Recall that for |x| < 1, we have
[tex]\displaystyle \frac1{1-x} = \sum_{k=0}^\infty x^k[/tex]
It follows that, for |-x²| = |x|² < 1, or just |x| < 1,
[tex]\displaystyle \frac1{1+x^2} = \frac1{1-(-x^2)} = \sum_{k=0}^\infty (-x^2)^k = \sum_{k=0}^\infty (-1)^k x^{2k}[/tex]
Taking the antiderivative of both sides gives us
[tex]\displaystyle \arctan(x) = C + \sum_{k=0}^\infty \frac{(-1)^k}{2k+1} x^{2k+1}[/tex]
where C is a constant, which we determine to be 0, since taking x = 0 on both sides makes the series vanish, while arctan(0) = 0 since 0 = tan(0). So
[tex]\displaystyle \arctan(x) = \sum_{k=0}^\infty \frac{(-1)^k}{2k+1} x^{2k+1}[/tex]
Since tan(π/4) = 1, it follows that π/4 = arctan(1), so in the series we replace x = 1, then solve for π :
[tex]\displaystyle \arctan(1) = \sum_{k=0}^\infty \frac{(-1)^k}{2k+1} 1^{2k+1}[/tex]
[tex]\displaystyle \frac\pi4 = \sum_{k=0}^\infty \frac{(-1)^k}{2k+1}[/tex]
[tex]\displaystyle \pi = \sum_{k=0}^\infty \frac{4(-1)^k}{2k+1}[/tex]
[tex]\pi = 4 - \dfrac43 + \dfrac45 - \dfrac47 +\cdots[/tex]
math help .................................
Answer:
d.29
Step-by-step explanation:
10/3 * 87/10 = 870/30
simplify & get 29
Find an equation of the line parallel to Y = 2x+3 and that passes through the point (5,3)
Certain drug is used to treat asthma in a clinical trial of the drug 24 of 282 treated subject experienced headaches based on the data from the manufacturer the accompany calculator display results from a test of the claim that less than 11%
Answer:
See below
Step-by-step explanation:
The test is one-tailed (left-tailed in this case) because you are trying to prove that the true proportion is less than the proposed proportion of 11%
The test statistic, z, is given to us as z=-1.34 when rounded to 2 decimal places.
The p-value, p, is given to us as p=0.0908 when rounded to 4 decimal places.
The null hypothesis is [tex]H_o:p<0.11[/tex] because the original claim was that the proportion was less than 11%.
Hope this helped! It's been a while since I've done Statistics, but I believe this is all correct.
how to solve 2(10 -6x)=x -8x
Answer:
x=4
Step-by-step explanation:
2(10 -6x)=x -8x
Multiply 2*10 and 2*-6x
20-12x=x-8x
Add 12x
20=x-8x+2x
Combine x and -8x
20=-7x+12x
Combine -7x and 12x
20=5x
Divide 5x/5 and 20/5
4=x
So x=4
The solution to the equation is x = -4.
To solve the equation 2(10 - 6x) = x - 8x, you can follow these steps:
1. Distribute the 2 to the terms inside the parentheses:
20 - 12x = x - 8x
2. Simplify the expressions on each side by combining like terms:
20 - 12x = -7x
3. Move all the x terms to one side and the constant terms to the other side by adding or subtracting:
-12x + 7x = 20
Simplifying further, we have:
-5x = 20
4. Divide both sides of the equation by -5 to solve for x:
x = 20 / -5
x = -4
Therefore, the solution to the equation is x = -4.
Learn more about Equation here:
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Figure R was rotated about the origin (0,0) by 270° clockwise.
6.
4
R
2
-6 -4
2 4 6
-44
-6
Which figure is the image of R?
Choose 1 answer:
What is an equation of the line that passes through the point (-7,-6)(−7,−6) and is parallel to the line x-y=7x−y=7?
Answer:
y = x + 1
Step-by-step explanation:
The gradient of a line can be defined by the equation:
m (gradient) = (y1 – y2 ) ÷ (x1 – x2) ----> "1" and "2" should be in subscript
For (-7,-6) we use x2 and y2 (because this point can be anywhere along a line):
x2 = -7, y2 = -6
Plug these values into the formula above:
m = (y-(-6)) ÷ (x-(-7))
m = (y+6) ÷ (x+7)
At this stage, the equation can't be solved as there are two unknowns. Therefore, the gradient must be found another way. Two lines are parallel if they have the same gradient - in their y=mx+c equations, m will be equal.
x - y=7 is the line alluded to in the question. Rearranging this equation into the line equation format gives:
y = x-7 ---> The gradient (coefficient of x) is 1.
Therefore, the gradient of the other parallel line must also be 1.
This can be substituted into the previous equation to give:
1 = (y+6)÷(x+7)
x+7 = y+6
x+1 = y
Therefore, the answer is y=x+1
Write an equation of a line in point slope form that is PARALLEL to the line y=32x−4 and contains the point (6,−1).
Answer:
[tex]y+1=32(x-6)[/tex]
Step-by-step explanation:
Solution is attached
How can one culture affect the music of the country?
Gabriel went to the store and bought a sandwich, chips and a drink. The
sandwich was $5.95. The chips were $1.03 and the drink was $0.99. How
much money did he spend
Answer:
$7.97
Step-by-step explanation:
5.95 + 1.03 + 0.99
= 7.97
This is the answer without tax.
Brian invests £990 into his bank account. He receives 5.2% per year simple interest. How much will Brian have after 2 years?
Answer:
£1092.96
Step-by-step explanation:
Amount of money Brian has after 2 years
= 2(5.2% × £990) + £990
= £102.96 + £990
= £1092.96
Can someone please follow me
please help
9(8-x) =3x
Answer:
x=6
Step-by-step explanation:
I don't know if you are solving for x but x=6
9(8 - x) = 3x
Multiply 9x8 and 9-x
72 - 9x = 3x
Add the 9x
72 = 3x + 9x
Add 3x+9x
72 = 12x
Divide 12x/12 and 72/12
12x/12 = 72/12
x = 6
Answer:
9(8 - x) - 3x
⇛72 - 9x - 3x
⇛72 - 12x
⇛12x = 72
⇛x = 72/12
Therefore, x = 6. Ans.
Which of the following can be added without altering any of the fractions?
Answer: The answer is A.
Step-by-step explanation:
A/C + B/C = A/B | +C
HELP ITS DUE
Use the expression -1/3 - (-5/12)
Answer:
__
[tex]\large\boxed{\mathfrak{0.08333}}[/tex]
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
Subtract negative is addition: -1/3 - (-5/12) = -1/3 + 5/12
1/3 = 4/12
-4/12 + 5/12 = 1/12
Does 62 have 2 as a factor
Answer:
Yes it does the factors of 62 include 1, 2, 31, 62.
Step-by-step explanation:
Hope this helps you :)
Have an amazing day <3
`helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp i will put brainly
Answer:
it is not a fair game since omar has 1/2 chance to win, kaitlyn has a 1/3 chance, and tynessa has a 1/6 chance
Step-by-step explanation:
SOMEONE HELP ME
find the constant (k) of porportionality 2y=48x
Answer:
I think 24
Step-by-step explanation:
In this
2y=48x
_______
2 2
Y=24x
This might help you
please help I will make you Brainliest (show working)
Step-by-step explanation:
look at the photo...............
Give the rate in miles per hour. Round to the nearest tenth.
Caroline walks 912 inches per second.
Answer:
51.8mph
Side note: Caroline isn't human. Walking almost 52 miles per hour is humanly impossible
Hope I helped! ☺
A store sells two sizes of bottled water. Size A is 32 fluid ounces (f1 oz) for $2.56 and Size X is $4.80 for
48 fluid ounces. Which is the better buy? Justify your answer.
#size A
32fluid ounces=$2.561 fluid ounce:-
[tex]\\ \sf\longmapsto \dfrac{2.56}{32}=0.08[/tex]
#Size X
48 fluid ounces=4.80$1 fluid ounce
[tex]\\ \sf\longmapsto \dfrac{4.80}{48}=0.1[/tex]
We can see
0.08<0.1
So Size X is better to buyy=varies directly as x, if y=22 when x=-11, find x when y=88
Answer:
x=-44
Step-by-step explanation:
y=22 x=-11
y=88 x=?
y/x=22/-11=-2
88/x=-2
-2x=88
x=-44
Write 81.509 in expanded form
Answer:
81.509 =
80
+ 1
+ 0.5
+ 0.00
+ 0.009
Expanded Factors Form:
81.509 =
8 × 10
+ 1 × 1
+ 5 × 0.1
+ 0 × 0.01
+ 9 × 0.001
Expanded Exponential Form:
81.509 =
8 × 101
+ 1 × 100
+ 5 × 10-1
+ 0 × 10-2
+ 9 × 10-3
In 8 minutes, Mai can type 48 words.
What is her rate in words per minute?
Answer:6
Step-by-step explanation:48 DividEd bg 8 is 6
f(x) = 4x-5; f(-2)
please help
Answer:
f(x)=-13
Step-by-step explanation:
Substitute x with -2
4 times -2 is -8
-8-5 is -13
Thus f(x)=-13
Hope this helps!
Carlos tried to shade all the factors of 30 on the hundred chart. Hundred chart with 1, 2, 3, 5, 6, 10, 15, and 30 shaded. What mistake did Carlos make?
Answer:
30 is the wrong one because it is not a factor of 100
30 60 90 120
20 40 60 80 100
Step-by-step explanation:
if you are at P and you walk 15/25 km towards north and then from there you walk 3/15 km towards North. How far will be now from Point P..
Answer:
you just need to multiply 15/25 and 3/15
