Answer:
1.Work out the Mean (the simple average of the numbers)
2.Then for each number: subtract the Mean and square the result.
3.Then work out the mean of those squared differences.
4.Take the square root of that and we are done!
Step-by-step explanation:
Answer:
To calculate the standard deviation of those numbers: Work out the Mean the simple average of the numbers. Then for each number: subtract the Mean and square the result. Then work out the mean of those squared differences. It was easy. Have a great day.
Step-by-step explanation:
Brainliest!
What is the solution to the equation below?
5 - n/2 = 12
Step-by-step explanation:
5 - n/2 = 12
10/2 - n/2 = 12
n = (12 × (-2)) + 10
n = (-24) + 10
n = -14
Let's prove it :
[tex]5 - ( - \frac{14}{2} ) \\ = \frac{10}{2} + \frac{14}{2} \\ = \frac{24}{2} \\ = 12[/tex]
Conclusion :
5 - n/2 = 12
5 - (-14/2) = 12
and
n = -14
Suppose you decided to keep flipping a coin until tails came up, at which
point you would stop. What is the probability of tails coming up on the 4th flip
of the coin? Round your answer to the nearest tenth of a percent.
A. 3.1%
B. 6.3%
C. 1.6%
D. 12.5%
Answer:
B. 6.3%
Step-by-step explanation:
For each time that the coin is tosse, there are only two possible outcomes. Either it comes up tails, or it does not. The probability of coming up tails on a toss is independent of any other toss. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Fair coin:
Equally as likely to come up heads or tails, so [tex]p = 0.5[/tex]
Probability that the first tails comes up on the 4th flip of the coin?
0 tails during the first three, which is P(X = 0) when n = 3.
Tails in the fourth, with probability 0.5. So
[tex]p = 0.5P(X = 0)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]p = 0.5P(X = 0) = 0.5*(C_{3,0}.(0.5)^{0}.(0.5)^{3}) = 0.0625[/tex]
0.0625 * 100 = 6.25%
Rounding to the nearest tenth of a percent, the correct answer is:
B. 6.3%
Answer: C 1.6 APE.X approved
What is 7 squared in standard form
Answer:
49
Step-by-step explanation:
7 times 7 is 49.
standard form of 7 squared is [tex]7^{2}[/tex].
What is Standard Form?Standard form is a way of writing a number, so it is easier to read. It is often used for very large or very small numbers. We use exponents to represent such numbers in standard form.
7 squared is written in the standard form as,
[tex]7^{2}[/tex] , where 7 is base and 2 is the exponent.
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3/7 de los estudiantes en una escuela están en sexto grado. Si la escuela tiene x estudiantes, escriba una expresión para el número de estudiantes de sexto grado en términos de x.
Answer:
hard
Step-by-step explanation:
On a bike ride, Aaron travels 6 miles east of his apartment and then 8 miles north. If, at this point, Aaron decided to travel a straight line distance back to his apartment, how many total miles would he have traveled?
Answer:
10 miles
Step-by-step explanation:
Use pythagorean theorem:
[tex]6^{2} +8^{2} = 10^{2}[/tex]
Please help ASAP! I will give you brainliest!!!
Greg rode his bike 30 miles to the summit averaging 10 miles
per hour. Then, he rode back down averaging 30 miles per hour. How
far did he ride? How long did it take him? What was his average speed?
Explain why Greg’s average speed is not 20 miles per hour.
Answer:
greg is riding his bike fast
Step-by-step explanation:
Answer:
Step-by-step explanation: im going to break down that is all 30 miles 10 miles per hours so it takes ''3 ''hours to reach the top so it took 4 houser for him to travel all his way lol so he rid 30 miles so thair
dont give me brainiest
Find the value of x.
A.71
B.72
C.73
D.75
Answer:
73
Step-by-step explanation:
When you have a line intersecting another line, the angles produced by the intersection will be equal to 180.
This means that (-39 + x) + 146 = 180. Solve for x.
(-39 + x) + 146 = 180
-39 + x = 34
x = 73
Which volume could belong to a cube with a side length that is an integer? Recall the formula Cube volume = s cubed. 18 cubic inches 36 cubic inches 64 cubic inches 100 cubic inches
We have been given 4 choices. We are asked to choose the volume that could belong to a cube with a side length that is an integer.
We know that volume of a cube is cube of each side length.
To solve our given problem, we will take cube root of each given value. The cube root of which value will be an integer that will be our correct choice.
A. [tex]s^3=18[/tex]
[tex]\sqrt[3]{s^3}=\sqrt[3]{18}[/tex]
[tex]s=2.62074[/tex]
Since cube root of 18 is not an integer, therefore, 18 is not a correct choice.
B. [tex]s^3=36[/tex]
[tex]\sqrt[3]{s^3}=\sqrt[3]{36}[/tex]
[tex]s=3.301927[/tex]
Since cube root of 36 is not an integer, therefore, 36 is not a correct choice.
C. [tex]s^3=64[/tex]
[tex]\sqrt[3]{s^3}=\sqrt[3]{64}[/tex]
[tex]s=4[/tex]
Since cube root of 64 is 4 and 4 is an integer, therefore, 64 is the correct choice.
D. [tex]s^3=100[/tex]
[tex]\sqrt[3]{s^3}=\sqrt[3]{100}[/tex]
[tex]s=4.641588[/tex]
Since cube root of 100 is not an integer, therefore, 100 is not a correct choice.
Answer:
c
Step-by-step explanation:
have a nice day :)
∠1 and ∠2 form a straight angle. ∠1 has a measure of 28°.
What is the measure of ∠2? PLZ HELP
Answer:
∠2 = 152
Step-by-step explanation:
A straight angle should always equal 180, and that is really the key to how we answer this problem. That means that ∠1 and ∠2 are supplementary, and add up to 180°.
That means that 180-28, will give us our other angle.
Answer:
152°
Step-by-step explanation:
Angles on a straight line add up to 180°
Angle 2 + 28 = 180
Angle 2 = 180 - 28
= 152°
what is the vertex for f(x)=-x^2
Answer:
(0,0)
Step-by-step explanation:
Answer:
(0,0)
Step-by-step explanation:
The graph is not shifted to the right, left, up, or down, so the vertex is still the origin. Even though the equation is negative, all this means is it is reflected across the x-axis. So, the vertex is still at the origin.
After simplifying the following rational expression, what is the leading coefficient in the NUMERATOR? [Recall: writing in Standard Form]
Answer:
x
Step-by-step explanation:
We are required to simplify the rational expression:
[tex]\dfrac{4}{x^2+4x-5} -\dfrac{5}{x^2-25}[/tex]
First, we factorize the denominators where possible
[tex]x^2+4x-5=x^2+5x-x-5=x(x+5)-1(x+5)=(x-1)(x+5)\\x^2-25=x^2-5^2 \\$Applying difference of two squares\\x^2-5^2=(x-5)(x+5)[/tex]
Therefore, our rational expression becomes:
[tex]\dfrac{4}{(x-1)(x+5)} -\dfrac{5}{(x-5)(x+5)}\\$Taking LCM\\=\dfrac{4(x-5)-5(x-1)}{(x-1)(x-5)(x+5)}\\=\dfrac{4x-20-5x+5}{(x-1)(x-5)(x+5)}\\=\dfrac{-x-15}{(x-1)(x-5)(x+5)}\\$Factoring out minus in the numerator and -(x-5)=(5-x)\ in the denominator\\=\dfrac{x+15}{(x-1)(5-x)(x+5)}[/tex]
Therefore, the leading coefficient of the numerator is x.
Two lines defined by the equations $y = mx + 4$ and $y = 3x + b$, where $m$ and $b$ are constants, intersect at the point $(6, 10)$. What is the value of $b + m$?
Answer:
-7
Step-by-step explanation:
The two lines intersect at the point (6,10), so this point belongs to both lines. This means that if we use the value of x = 6 in the lines, we will find y = 10
So we can use this point to find the values of b and m:
y = mx + 4
10 = 6m + 4
6m = 6
m = 1
y = 3x + b
10 = 3*6 + b
b = 10 - 18 = -8
So the value of b + m is -8 + 1 = -7
After substituting the intersection point (6, 10) into both line equations and solving for m and b respectively, we find that the value of b + m is -7.
To find the value of b + m when two lines intersect at the point (6, 10), we can substitute the coordinates of the intersection point into both line equations. Since the coordinates (6, 10) must satisfy both equations, we have:
For the first equation y = mx + 4:
10 = m*6 + 4,
which simplifies to:
m = 1.
For the second equation y = 3x + b:
10 = 3*6 + b,
which simplifies to:
b = -8.
Having both values, we can now calculate b + m:
b + m = (-8) + 1 = -7.
The value of b + m is -7, which represents the sum of the y-intercept of the second line and the slope of the first line.
Use the order of operations to find the value of the expression.
12÷2*3-(7-5)
O A.0
O B.6
O C.16
O D.19
Answer:
C. 16
Step-by-step explanation:
12÷2×3−(7−5) = 16.
I hope this helps!
Following the order of operations (PEMDAS/BODMAS), the expression simplifies as:- 12 ÷ 2 * 3 - (7 - 5) = 6 * 3 - 2 = 18 - 2 = 16. So, the value is 16.
To find the value of the expression 12 ÷ 2 * 3 - (7 - 5), we need to follow the order of operations, often remembered using the acronym PEMDAS (or BODMAS):
1. Parentheses (or Brackets): First, we evaluate what's inside the parentheses. In this case, (7 - 5) equals 2.
2. Exponents (or Orders): There are no exponents or orders in this expression.
3. Multiplication and Division: After dealing with parentheses, we move from left to right. So, 12 ÷ 2 * 3 is calculated as follows:
12 ÷ 2 * 3 = 6 * 3 = 18
4. Addition and Subtraction: Again, we move from left to right. Now we subtract 2 (the result from step 1) from 18 (the result from step 3):
18 - 2 = 16
So, the final answer is 16.
In summary, using the order of operations, the expression simplifies to 16. It's crucial to follow these rules to ensure that mathematical expressions are evaluated correctly, as different orders can lead to different results.
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Lucy paid $200 for a new guitar and is paying $20 per hour for lessons. Write an expression to represent the total amount she will pay for h hours of guitar lessons (including the guitar).
Answer:
20 +200
Step-by-step explanation:
Answer:
200 + 20h = x
could be wrong so sorry
A recipe calls for 1 1/4 cups of sugar for every 3 cups of flour. How much sugar would be needed for 5 cups of flour?
Answer:
[tex]2\frac{1}{12}[/tex] cups of sugar required for 5 cups of flour
Step-by-step explanation:
Number of cups of sugar required for 3 cups of flour =[tex]1 \frac{1}{4}[/tex]
Number of cups of sugar required for 3 cups of flour = [tex]\frac{5}{4}[/tex]
Number of cups of sugar required for 1 cup of flour [tex]=\frac{\frac{5}{4}}{3}[/tex]
Number of cups of sugar required for 5 cups of flour =[tex]\frac{\frac{5}{4}}{3} \times 5[/tex]
Number of cups of sugar required for 5 cups of flour =[tex]\frac{25}{12}[/tex]
Number of cups of sugar required for 5 cups of flour =[tex]2\frac{1}{12}[/tex]
Hence [tex]2\frac{1}{12}[/tex] cups of sugar required for 5 cups of flour
What is the reciprocal of 0.125
Express the shaded area as a fraction, a decimal, and as a percent of the whole .
Answer:
Fraction- 44/100 or 11/25
decimal- 0.44
Percent- 44%
Which line appears to have the same slope as the equation x-y=4 and has a y-intercept that is 2 units above the y-intercept of the given equation?
Answer:
B
Step-by-step explanation:
First, find the y-intercept form of the equation:
x - y = 4
x - x - y = 4 - x
-y = 4 - x
-y = -x + 4
-y/-1 = -x/-1 + 4/-1 (to get the y positive)
y = x - 4
The y-intercept is -4. This means that a y-intercept two units above 4 would be -2. Whichever line crosses the y axis at the value of -2 is the answer (line B)
hope this helps :)
20 POINTS EASY ASAP
The part of Earth that is facing the sun is going through the season of winter. Describe where Earth will be positioned in the summer.
Earth will be closer to the sun in the summer because it is warmer.
Earth will be in the same location in the summer.
Earth will be on the opposite side of the sun in the summer.
Earth will be underneath the sun the following summer.
Diego has $100 and spends ¼ of it. How much does he have left?
Answer:
$75
Step-by-step explanation:
Answer:75
Step-by-step explanation:
Inequality 2x > x + 7 is equivalent to ?
Answer:
x>7
Step-by-step explanation:
We do 2 steps
2x > x + 7
that means
2x - x > x - x + 7
then
x > 7
That is the answer. Hope it useful for you!
The diameter of the base of a come measures 8 units. The height of the cone is 6 units. What is the volume of the cone in terms of pie
Answer:
Step-by-step explanation:
diameter = 8 units
r = 8/2 = 4 units
h = 6 units
[tex]Volume=\frac{1}{3}\pi r^{2}h\\\\=\frac{1}{3}*\pi*4*4*6\\\\[/tex]
= π*4*4*2
=32π cubic units
Y=1/2x-6
X=-4
What is the solution to the system of equations
A. (-8,-4)
B.(-4,-8)
C.(-4,4)
D.(4,-4)
Answer:
B. (-4, -8)
Step-by-step explanation:
Put -4 into the first equation where x is, then evaluate. You will find ...
y = (1/2)(-4) -6 = -2 -6 = -8
Then the point that satisfies both equations is ...
(x, y) = (-4, -8) . . . . matches choice B
___
You can eliminate choices A and D, because they don't have -4 for the x-value.
Simplify the radical expression. Use absolute value symbols if needed.
√400x^2y^6
A. 20|x|y^3
B. 20|x|y^4
C. 20|xy^3|
D. 20xy^4
Answer: CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
Step-by-step explanation: HOPE IT HELPS YOU
The table shows the prices of 8 different treadmills at a sporting goods
store. This week the store is having a 50% off sale on all treadmills. What
are the mean, median, mode and range of the discounted prices?
$640 $810||$755 $810
$1175 $900 $1080 $530
mean: $736.25, median: $900; mode: $810; range: $645
mean: $837.50; median: $810; mode: $810; range: $645
mean: $368.13, median: $450; mode: $405; range: $322.50
mean: $418.75; median: $405; mode: $405; range: $322.50
The mean of the discounted prices is $736.25, the median is $810, the mode is $810, and the range is $645.
Explanation:To find the mean of the discounted prices, we add up all the prices and divide by the total number of prices. In this case, the mean is $736.25 because (640 + 810 + 755 + 810 + 1175 + 900 + 1080 + 530) / 8 = 736.25.
To find the median of the discounted prices, we arrange the prices in ascending order and find the middle value. Since there are 8 prices, the median is the average of the 4th and 5th values, which are $810 and $810, respectively. So, the median is $810.
To find the mode of the discounted prices, we look for the value that appears most frequently. In this case, $810 appears twice, which is more often than any other price. Therefore, the mode is $810.
To find the range of the discounted prices, we subtract the smallest price from the largest price. In this case, the range is $645 because $1175 - $530 = $645.
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HELP ASAP 1st answer gets brainlyest
Which of the following symbols indicates that a value is included in a solution set.
○
●
≠
=
Answer:
The answer would be the B . I assume your talking about a number line.
Step-by-step explanation:
Answer:
○ is your answer
Step-by-step explanation:
brainliest please
Hurry 50 points for the correct answer
Solve the equation. Identify any extraneous solutions.
x=√-3x+40
5 and –8 are solutions.
8 is a solution to the original equation. The value –5 is an extraneous solution.
5 and 8 are both extraneous solutions.
5 is a solution to the original equation. The value –8 is an extraneous solution.
Answer:
5 and –8 are solutions.
Step-by-step explanation:
8 is a solution to the original equation. The value –5 is an extraneous solution.
5 and 8 are both extraneous solutions.
5 is a solution to the original equation. The value –8 is an extraneous solution.
Answer: 5 and –8 are solutions
Step-by-step explanation:
In Circle M, points A, B, and C are located on the circle such that measure angle CBM equals to 34 degrees. What represents angle CAB
Answer:
Angle CAB=56 degrees
Step-by-step explanation:
See the attached image for the diagram.
In triangle BMC
|BM|=|MC| (Radii of a Circle)
Therefore, triangle BMC is an Isosceles Triangle; and
[tex]\angle CBM=\angle BCM=34^\circ[/tex]
[tex]\angle CBM+\angle BCM+\angle BMC=180^\circ$ (sum of \angle s$ in a triangle)\\34^\circ+34^\circ+\angle BMC=180^\circ\\\angle BMC=180^\circ-68^\circ=112^\circ[/tex]
Next,
[tex]\angle BMC=2\angle CAB $(Angle at center is twice angle at circumference)\\112^\circ=2\angle CAB\\\angle CAB=112^\circ \div 2\\\angle CAB=56^\circ[/tex]
Answer:
The answer is Angle CAB=56 degrees
Step-by-step explanation:
calcule o valor numérico da expressão a seguir -2/3+1-3/2.8/9
Answer:
The calculated value is "0.214"
Step-by-step explanation:
Given expression :
[tex]\bold {\frac{-2}{3}+ 1 -\frac{3}{\frac{2.8}{9}} }\\[/tex]
solution:
[tex]\Rightarrow \frac{-2}{3}+ 1 -\frac{3}{\frac{2.8}{9}}\\\\\Rightarrow \frac{-2}{3}+ 1 -\frac{3}{\frac{2.8}{\frac{9}{1}}}\\\\\Rightarrow \frac{-2}{3}+ 1 -\frac{3}{2.8} \times \frac{1}{9}}}\\\\\Rightarrow \frac{-2}{3}+ 1 -\frac{1}{8.4}\\\\\Rightarrow \frac{-16.8 + 25.2- 3}{25.2}\\\\\Rightarrow \frac{5.4}{25.2}\\\\\Rightarrow 0.214[/tex]
evaluate the expression
9. 225