Answer:
3.0Step-by-step explanation:
Sample standard deviation is found by steps below.
Find the mean:
μ = (9 + 15 + 13 + 9 + 15)/5 = 12.2Find deviations from the mean and their squares:
9 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.2415 - 12.2 = 2.8 ⇒ 2.8² = 7.8413 - 12.2 = 0.8 ⇒ 0.8² = 0.649 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.2415 - 12.2 = 2.8 ⇒ 2.8² = 7.84Sum the squares:
10.24*2 + 7.84*2 + 0.64 = 36.8Divide by N - 1 (N - number of samples):
36.8/(5 - 1) = 9.2Square root is the sample standard deviation:
σ = √9.2 = 3.0 (rounded)Student spend 5 minutes of every 60 minutes at school moving from class to class. Which fraction is equivalent to the number of minutes student spend moving from class to class?
Answer:
10/120
Step-by-step explanation:
Find Z for the following sequence:
210, 209, 213, 186, 202, Z
Answer:
77
Step-by-step explanation:
as far as I can tell the steps between the given numbers are
-1
+4
-27
+16
1 can be expressed as 1³
4 can be expressed as 2²
27 can be expressed as 3³
16 can be expressed as 4²
my best guess is that next one is minus 5³ = -125
edit: technically the given steps can be expressed as
(-1)³
(-2)²
(-3)³
(-4)²
somewhat nicer pattern there
P varies inversely with the
square of Q. When Q is 8, P is 9.
Find the value of P when Q is 3.
The required value of P would be 64 for the given linear relationship.
What is the linear relationship?A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.
Given that P varies inversely with the square of Q
P = k/Q²
As per the question, if Q is 8 and P is 9,
So 9 = k/8²
⇒ 9 = k/64
Apply cross-multiplication operation,
⇒ k = 576
If Q is 3, then
⇒ P = 576/3²
⇒ P = 576/9
Apply division operation, and we get
⇒ P = 64
Thus, the required value of P would be 64.
Learn about the linear relationship here :
https://brainly.com/question/11663530
#SPJ2
PLEASE HELP i dont know the answer for: Chose an equivalent ratio 15 cats to 20 dogs. choices: A. 4 to 5. B. 3 to 4. C. 3 to 5. D. 10 to 15.
Answer:
D 10 to 15 is the answer correct
A right triangle has side lengths a, b , and c as shown below. Use these lengths to find cosx , sinx and tanx. (GIVING BRAINLEST TO BEST ANSWER)
9514 1404 393
Answer:
cos(x) = a/csin(x) = b/ctan(x) = b/aStep-by-step explanation:
The mnemonic SOH CAH TOA is intended to help you remember the relationships between triangle sides and trig functions. These abbreviations tell you that ...
Sin = Opposite/Hypotenuse ⇒ sin(x) = b/c
Cos = Adjacent/Hypotenuse ⇒ cos(x) = a/c
Tan = Opposite/Adjacent ⇒ tan(x) = b/a
solve
(3431)−2/3÷(491)3/2
a. 16807
b.343
c.49
d.2401
{3/4 x (3/3/4 ÷ 5/16)} -3/1/3
The Pentagon's ABCDE & PQRST are similar find the length X of QR
Please help I will give 50 points and give branliest!!!!
Answer:
x = 3.2
Step-by-step explanation:
Since they are similar the ratio of the side lengths must be the same
Using the bottom side and the unknown side from the left figure and the right figure
5 4
----- = --------
4 x
Using cross products
5x = 4*4
5x = 16
Divide by 5
x = 16/5
x =3.2
The area of a sector created by a 120° angle is 4 pi in squaredWhat is the area of a sector created by an angle of 30°
in the same circle
Answer:
π in²
Step-by-step explanation:
We'll begin by calculating the radius of the circle. This can be obtained:
Area of sector (A) = 4π in²
Angle (θ) = 120 °
Radius (r) =?
The radius of the circle can be obtained by using the formula for calculating the area of a sector. This is illustrated below:
A = θ/360 × πr²
4π = 120/360 × πr²
4π = ⅓ × πr²
Cross multiply
3 × 4π = πr²
12π = πr²
Divide both side by π
r² = 12π / π
r² = 12
Take the square root of both side
r = √12 in
Thus, the radius is √12 in.
Finally, we shall determine the area of the sector created by 30 °. This can be obtained as follow:
Radius (r) = √12 in
Angle (θ) = 30 °
Area of sector (A) = ?
A = θ/360 × πr²
A = 30/360 × π(√12)²
A = 1/12 × 12π
A = π in²
Therefore, the area of the sector created by 30 ° us π in².
PLEASE HELP QUICKLYYYY
9514 1404 393
Answer:
x = 48
Step-by-step explanation:
The sum of the angles in a pentagon is 540°, so you have ...
90° +100° +110° +2x° +3x° = 540°
5x = 240 . . . . . . . divide by °, subtract 300
x = 48 . . . . . . . . . divide by 5
_____
Additional comment
The sum of angles in a convex n-gon is (n -2)×180°. For a pentagon, that's 3×180° = 540°.
Here are two datasets: Dataset A: 64 65 66 68 70 71 72 Dataset B: 64 65 66 68 70 71 720 For dataset A, the mean and median are 68. Looking at dataset B, notice that all of the observations except the last one are close together. Which measure will be affected by this last observation in dataset B
Answer:
Mean will be affected.
Step-by-step explanation:
The mean value of the data set will be affected as it depends on the magnitude of data points and not its position. The median however will not change since it depends on the relative position of data points.
Which of the following are the domain and range that represent the inverse of the function f(x), given the mapping diagram of f(x) below? 1 AWN O 2. 4 6 8
Answer:b
Step-by-step explanation:
Which choice is equivalent to the fraction below when x is an appropriate
value? Hint: Rationalize the denominator and simplify.
4
4 - 6x
A. 8+226x
16 - 6x
B. 8+ 2162
846
C.
2 + V6
4- 6x
D. 8. 216
8 - 3x
UN
1. 8^3 * 8^2, 8^5, and (2^3)^5
2. 6^9, and 6^5 x 6^4
Answer:
8+2√6x / 8-3x
Step-by-step explanation:
yes
What is the value of ?
Answer:
x=3
Step-by-step explanation:
Log base 5 of 125=x
that is equal to 5x5x5 which is 125
5 is multiplied 3 times so x is 3
Solve AABC. Round your answers to the nearest hundredth, if necessary
Answer:
[tex]C=25^{\circ},\\a\approx 10.72,\\b\approx 11.83[/tex]
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be [tex]180-90-65=25^{\circ}[/tex].
In any triangle, the Law of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex].
Therefore, we have:
[tex]\frac{\sin 90^{\circ}}{b}=\frac{\sin 25^{\circ}}{5},\\\\b=\frac{5\sin90^{\circ}}{\sin 25^{\circ}}=11.8310079158\approx \boxed{11.83}[/tex]
[tex]\frac{a}{\sin 65^{\circ}}=\frac{5}{\sin25^{\circ}},\\a=\frac{5\sin 65^{\circ}}{\sin25^{\circ}}=10.7225346025\approx \boxed{10.72}[/tex]
A.3 1/4
B.1 3/4
C.2 1/4
D.3/3
Answer:
A. 3 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Simplify (4xy)(2x2y)(3xy)3.
Answer: 72x(elevated 4)y(elevated 3)
Step-by-step explanation:
4xy(2x2y)(3xy)(3)
The sum of two numbers is 49.one number is 15 more than the other one.find the numbers
Answer:
17 and 32
Step-by-step explanation:
x + (x + 15) = 49
2x + 15 = 49
2x = 34
x = 17
x + 15 = 32
PLS HELP ILL GIVE BRAINLIEST
Answer:
-40% change
Step-by-step explanation:
This change is a decrease, so first you need to find the difference between the two numbers--> 125 - 75 = 50Next, you divide by the original number, so 50 ÷ 125 = 0.4Finally, you multiply your answer by 100, so 0.4 x 100 = 40%. Because this is a decreasing change, you add a negative sign.A third-grade class is using plaster of Paris to make impressions of their hands. Each student needs 12 ounces of plaster to make an impression. There are a total of 20 students in the class. How many pounds of plaster will the teacher need for the activity?
Answer:
15 pounds of plaster
Step-by-step explanation:
First, convert ounces to pounds.
In 1 pound, there are 16 ounces. Create a proportion to convert 12 ounces to pounds.
[tex]\frac{1}{16}[/tex] = [tex]\frac{x}{12}[/tex]
Cross multiply and solve for x:
16x = 12
x = 0.75
So, each student will need 0.75 pounds of plaster. Multiply this by 20 to find the total amount the teacher will need:
20(0.75)
= 15
So, the teacher will need 15 pounds of plaster
Answer:
15 pounds
Step-by-step explanation:
Solve for x round to nearest tenth
Answer:
15.9 units
Step-by-step explanation:
use the pathagorean theorem to find x.
a^2 + b^2 = c^2
6^2 + b^2 = 17^2
36 + b^2 = 289
-36 -36
[tex]\sqrt{b^{2} }[/tex]= [tex]\sqrt{253}[/tex]
b = 15.90597372
b = 15.9
Help me...!
!!
!!
!!
!!
The answer to this question is:
2 ¾ inches.
Someone tell me what the answer
Answer:
can you please put a better picture?
Hdisowiejejkwoeooeoe
Answer:
98
Step-by-step explanation:
The absolute value of a number different from 0 is always positive
- * - = +
15 + 83 = 98
At the supermarket, a certain brand of plain yogurt comes in thre
different sizes. The 6-ounce container of yogurt costs $0.72. The
16-ounce container of yogurt costs $1.76. The 32-ounce
container of yogurt costs $4.48. Which size is the best deal?
6 oz container
B 32 oz container
C 16 oz container
D All three sizes have the same unit cost.
Answer:
C. 16oz container
Step-by-step explanation:
I can explain my answer in the comments if needed, but C is the correct answer :)
solve by drawing the area model and using the standard algorithm 7,481 × 290
I need help with this with work asap thank you
Answer:
multiply all sides (5.5 x 6 x 8.5) which results to 261.5 ft squared
- 12. What is the greatest common factor of 120 and 84?
e.
a. 3
b. 6
12
18
d.
Answer:
12 (the third one is the greatest common factor of 120 and 84)
Answer:
12
Step-by-step explanation:
factors of 120. 1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,80,120
factors of 84: 1,2,3, 4,6,7,12,14,28,42,84
greatest common factor=12
Find the Area if the circle.
Answer:
153.93804 in^2
Step-by-step explanation:
Area = radius^2 π = 7^2 π = 153,93804 in^2
Answer:
[tex]area = \pi \: r \:^{2} \\ = \pi(7) ^{2} \\ = 153.938 \: in ^{2} [/tex]
Can someone help me? Question attached, 20 points.
Answer:
6
Step-by-step explanation:
[tex]V = A * b = 5A[/tex]
[tex]5A = 141.3[/tex]
[tex]A = 28.26[/tex]
[tex]\pi r^2 = 28.26[/tex]
[tex]3.14 r^2 = 28.26[/tex]
[tex]r^2 = 9[/tex]
[tex]r = 3[/tex]
[tex]D = 2r = 2 * 3 = 6[/tex]