Answer:
The standard deviation of the data set is [tex]\sigma=10[/tex]
Step-by-step explanation:
The formula for standard deviation is [tex]\sigma=\sqrt{\frac{1}{N}\sum_{n=1}^{\infty}(x_i-\mu)^2 }[/tex] where you are basically taking the mean of the data set ([tex]\mu[/tex]), find the mean of the squared differences from the observed values and mean ([tex](x_i-\mu)^2[/tex]), and square root the result:
Mean:
[tex]\mu=\frac{36+18+12+10+9}{5}=\frac{85}{5}=17[/tex]
Average of squared differences (variance):
[tex]\frac{1}{N}\sum_{n=1}^{\infty}(x_i-\mu)^2=\frac{(36-17)^2+(18-17)^2+(12-17)^2+(10-17)^2+(9-17)^2}{5}=\frac{500}{5}=100[/tex]
Standard deviation:
[tex]\sigma=\sqrt{100}=10[/tex]
This means that the standard deviation of the data set is 10, which tells us that the values of the data set, on average, are separated by 10.
3x3 + 18x2 + 232 – 4 is
+
divided by x + 4
Answer:
3x^2+6x-24+324/x+4
Step-by-step explanation:
You can use synthetic division:
A line segment passes through the points (2,6) and
(10,30).
Calculate the gradient of the line.
Answer:
The gradient (slope) of the line is 3
Step-by-step explanation:
Use the formula for slope where [tex](x_1,y_1)\rightarrow(2,6)[/tex] and [tex](x_2,y_2)\rightarrow(10,30)[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{30-6}{10-2}\\ \\m=\frac{24}{8}\\ \\m=3[/tex]
Therefore, the gradient (slope) of the line is 3
A game charges $0.99 for custom skins and a $9.99 membership fee. Write and expression that gives the
total cost in dollars for c number of skins and a membership.
Answer:
y=0.99c+9.99
Step-by-step explanation:
its 0.99 so you got to times it by the number since we have no number we are using the letter c as a substitute then add the membership fee
Answer:
0.99c + 9.99
Step-by-step explanation:
We know one part of the expression is going to be $0.99c, since it's $0.99 per custom skin, and c is the number of custom skins were getting.
Then we must add on the 9.99 on top of that, since that is the one-time membership fee. This is what the equation looks like :
0.99c + 9.99
Hope this helps :)
can someone answer this please and thank you
Answer:
See below.
Step-by-step explanation:
x+3/9=5/9
-3/9 -3/9
x=2/9
--------------
11+x=50
-11 -11
x=39
-------------
2/9+x=8/9
-2/9 -2/9
x=6/9 or 2/3
-hope it helps
I WILL MARK BRAINLIEST!!!
The value of y varies directly with x and y = -5 when x =25 identify the value of y when x = -10
y = 1
y = 2
y = -1
y = 0
Step-by-step explanation:
y=kx
where k is a constant
-5=k25
k=-5÷25
k=-1/5
The relationship between x an y is y=-1/5x
when x is -10
y= -1/5×-10
y=2
Pls follow
The value of y is equal to 2 when x is equal to - 10.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Assuming x = ky.
When y = - 5, x = 25.
25 = - 5k.
k = - 5.
Now, x = - 10 and k = - 5.
∴ - 10 = - 5y.
y = 2.
learn more about proportion here :
https://brainly.com/question/7096655
#SPJ2
Solve the right triangle. Round to the nearest degree and nearest tenth of a unit.
Answer:
10.63015
Explanation: c=a2+b2=82+72
HELP PLEASE?????????
Answer:
y=x(3x+2)²(x-1)
Step-by-step explanation:
for zero '0': x;
for zero '-2/3': 3x+2
for zero '1': x-1.
Finally, the correct answer is f(x)=x(3x+2)²(x-1) only.
Uni
Which of the following numbers is a whole number?
45%
1/5
907
.50
Answer:
a whole number is a complete number with no decmils or fraciton such as
3,5,2253
not
1/2,6.5,69%
45% no since percents other then 100% and 0% are not whole numbers
1/5 fraction no unless the same number on top and bottom or 0 on top
907 yep
0.50 nope never
Hope This Helps!!!
A function f(x)= 3^√x is transformed into the function g(x)= 2^3√x-4+5
Name the transformations that occurred to the parent cube root function.
Answer:
see the anaiysis for details it can be seen in the title
Step-by-step explanation:
9(x) 2x-5 =2 fix)-5
91x =2fix) -5
1,write the successor of-5 and predecessor of 6 then add them
2,find the value of a-b if a and b are two integers such that a is the predecessor of b
3,subtract the sum of 100and -24 from the sum of 42 and -66
#1
Successor of -5=-4Predecessor of 6=5[tex]\\ \tt\hookrightarrow -4+5=1[/tex]
#2
Let one be x and other be x-1[tex]\\ \tt\hookrightarrow a-b=x-x+1=+1[/tex]
#3
[tex]\\ \tt\hookrightarrow 42-66-(100-24)[/tex]
[tex]\\ \tt\hookrightarrow -24-76[/tex]
[tex]\\ \tt\hookrightarrow -100[/tex]
Step by Step Solution for Part-1:
We know that:
The successor of a number defines one to be added to a numberThe predecessor of a number defines one being subtracted to a numberSolution:
⇒ (-5 + 1) + (6 - 1)⇒ (-4) + (5)⇒ 1________________________________________________Step by Step Solution for Part-2:
We know that:
b - 1 = aTo solve: a - bSolution:
⇒ a - b⇒ (b - 1) - b⇒ (-b + 1) + b⇒ -b + 1 + b⇒ 1 ________________________________________________Step by Step Solution for Part-3:
(42 - 66) - (100 - 24)=> (-24) - (76)=> -100________________________________________________PLEASE HELP MEE!!!!!
7 4/6 + 3 1/6
Answer:
10 5/6
Step-by-step explanation
leave out whole numbers, just do fractions;
4/6+1/6=5/6
do the whole numbers
7+3=10
whole number + fraction
10 5/6
Answer:
10 5/6.Step-by-step explanation:
Given equation:
7 4/6 + 3 1/6Solve:
7 4/6 + 3 1/6= 7 + 3= 10= 4/6 + 1/6= 5/6= 10 + 5/6= 10 5/6.Sunscreen should be applied every 2 hours. Over the summer, Cece spends at least 84 hours outside.
Write an inequality that can be used to determine how many times Cece should apply sunscreen.
Answer:
42
Step-by-step explanation:
84 divide 2
answer 42
answer =42
A line that includes the points (s, -9) and (5, -6) has a slope of -3. What is the value of s?
Answer:
s=6
Step-by-step explanation:
slope(m) = (y2-y1)/(x2-x1)
or, -3 = (-6+9)/(5-s)
or, -3(5-s) = 3
or, -15+3s = 3
or, 3s = 18
so, s = 6
pls help me i will mark you as a brilliant
Answer:
→Loss=Rs100
Step-by-step explanation:
Solution,
→CP of a quintal of potatoes=Rs4000
→Sp of a quintal of potatoes=Rs390 per 10kg
→SP of 1 kg of potatoes=rs390/10=Rs39
→SP of 100kg(a quintal)=Rs39 x 100=Rs3900
Here,
→SP<CP=Loss
→Loss=CP-SP
→Loss=Rs4000-Rs3900
→Loss=Rs100
simplify the expression 3 x + 6x + 2x
HELP PLZ
Answer: 11x
3x + 6x + 2x
3x + 8x
11x
Write this number in
scientific notation.
3.000.000
Answer:
3×10the power of 6
Step-by-step explanation:
because we count the number after the. point band make it the power
EL 25% DE 75 ES 20 DIGANME POR FABOR
Answer:
18.75
Step-by-step explanation:
Cuanto es 25% de 75?
Para calcular este tanto por ciento, sugerimos usar esta fórmula:
% / 100 = Parte / Total
Sustituyendo los valores proporcionados:
25 / 100 = Parte / 75
Realizando la Multiplicación en cruz:
25 x 75 = 100 x Parte, o
1875 = 100 x Parte
Ahora es sólo dividir por 100 y obtener la respuesta:
Parte = 1875 / 100 = 18.75
Find the equation of a line that is perpendicular to the line x=-5 and contains the point (1,4)
Check the picture below.
Help I need this badlyuu
Solve the inequality. Help appreciated
Answer:
See below.
Step-by-step explanation:
6x-2≤9
+2 +2
6x≤11
/6 /6
x≤11/6
4+3x>15
-4 -4
3x>11
/3 /3
x>11/3
-hope it helps
Which ratio is equivalent to 2:1?
A: 1:2
B: 10:5
C: 1:3
D: 2:1
Answer:
B: 10:5.
Step-by-step explanation:
To find equivalent ratios, multiply both sides by the same number.
Equivalent ratios:
Multiplied by 2: 4:2
Multiplied by 3: 6:3
Multiplied by 4: 8:4
Multiplied by 5: 10:5
Multiplied by 6: 12:6
Multiplied by 7: 14:7
Option A is incorrect, the ratio is the opposite of 2:1.
Option C is incorrect, the ratio isn't equivalent to 2:1.
Option D is incorrect, it's the same ratio as 2:1. Not a different, equivalent ratio.
Option B is correct, it's one of the equivalent ratios supported above.
HELP ME ASAP I NEED HELP PLEASE SOMEONE
Answer:
welll there no like answers to give here so i dont know might want to check what you post before you post it
Step-by-step explanation:
Answer:
help with what need more info
(10.) The sum of the 6th and 8th terms of an
arithmetic progression is 142. If the fourth
term is 49, find the first term, the common
difference and the sum of the first seven
terms of the progression.
Answer:
first term: 27common difference: 7 1/3sum of 7 terms: 343Step-by-step explanation:
The general term of an arithmetic sequence is ...
an = a1 + d(n -1)
Using the given information, we can write two equations in a1 and d:
a6 +a8 = 142 = (a1 +d(6 -1)) +(a1 +d(8 -1)) = 2a1 +12d
a4 = 49 = a1 +d(4 -1) = a1 +3d
__
Subtracting twice the second equation from the first, we get ...
(2a1 +12d) -2(a1 +3d) = (142) -2(49)
6d = 44
d = 44/6 = 22/3 = 7 1/3 . . . the common difference
Subtracting the first equation from 4 times the second gives ...
4(a1 +3d) -(2a1 +12d) = 4(49) -142
2a1 = 54
a1 = 54/2 = 27 . . . the first term
_____
The sum of the first n terms of the progression is ...
Sn = (2·a1 +d(n -1))(n/2)
The sum of the first 7 terms is ...
S7 = (2·27 +22/3(7 -1))(7/2) = (54 +44)(7/2) = 343 . . . sum of 7 terms
Subtract
12u+7v from 20u+13v
Answer:
the answer should be 8u +6v
Step-by-step explanation:
20u+13v - 12u+7v =
8u +6v
Simplify:
[tex] \large \rm \: 1 \frac{5}{6} \times 2 \frac{3}{4} + 1 \frac{5}{6} \times 1 \frac{3}{4} [/tex]
[tex]1 \times \frac{5}{6} \times 2 \times \frac{3}{4} + 1 \times \frac{5}{6} \times 1 \times \frac{3}{4} [/tex]
[tex] = \frac{11}{6} \times \frac{11}{4} + \frac{11}{6} \times \frac{7}{4} [/tex]
Multiply them and after we'll add them
[tex] = \frac{121}{24} + \frac{77}{24} [/tex]
Use L.C.M
[tex] = \frac{198}{24} answer[/tex]
Can someone help me as soon as possible please
The answer is to complicated for my small brain so ask someone else
How many dollars is 1,692 pennies ?
I need help, can't find a single clue on how to do this, looked back on my lessons and couldn't find anything about it.
Find the value of x.
The value of x is ____
Answer: 26.5°
Step-by-step explanation:
First angle: 180 - (x + 16) = 180 - x - 16 = (164 + x)°
Second angle: 180 - (3x - 1) = 180 - 3x + 1 = (181 - 3x)°
Third angle: (180 - 5x)°
Fourth angle: (180 - 6x)°
Seeing that the sum of angles in any given quadrilateral is 360°,
(164 + x) + (181 - 3x) + (180 - 5x) + (180 - 6x) = 360
164 + x + 181 - 3x + 180 - 5x + 180 - 6x = 360
705 - 13x = 360
345 = 13x
x = [tex]26\frac{7}{13}^{o}[/tex]
x = 26.5° (1dp)
50 points!!! Picture below please help
Answer:
24/25
20/29
Step-by-step explanation:
Trigonometry ratios:
[tex]sin(\theta)=\frac{O}{H} \\\\cos(\theta)=\frac{A}{H} \\\\tan(\theta)=\frac{O}{A}[/tex]
where O is the side opposite to the angle, A is the side adjacent to the angle and H is the hypotenuse (longest side)
As angles A and C are complementary, this implies that side b is the hypotenuse and sides a and c are the legs of a right triangle.
Referring to the attached diagram:
sin(A) = O/H = a/b
cos(C) = A/H = a/b
Therefore, sin(A) ≡ cos(C)
If sin(A) = 24/25 , the value of cos(C) = 24/25
If cos(A) = 20/29, the value of sin(C) = 20/29
question is 12b as shown in the image:
Answer:
[tex]an = a1 + (n - 1)d \\ an = 3 + (n - 1)7 \\ an = 3 + 7n - 7 \\an = 7n - 4 \\ when \: \: n = 150 \\ a150 = 7(150) - 4 \\ 1050 - 4 \\ a150 = 1046[/tex]
