if the mean of a data is 316 and the sum of its observation is 3792 find the number of observations in the data.
Answer:
12
Step-by-step explanation:
mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Here mean = 316 and sum = 3792 , count n is required to be found, so
[tex]\frac{3792}{n}[/tex] = 316 ( multiply both sides by n )
3792 = 316n ( divide both sides by 316 )
12 = n
There are 12 observations in the data
What is 10 1/2 divided by 2 1/4
Answer:
14/3 or 4 2/3
Step-by-step explanation:
10 1/2 => 21/2
2 1/4 => 9/4
21/2 divided by 9/4
(Keep, Change, Flip)
21/2 * 9/4
Cross Simplify = 21 becomes 7 and 9 becomes 3. 2 becomes 1 and 4 becomes 2.
7/1 *2/3 = 14/3 = 4 2/3
Simplify (3x-9) / (x^2-x-6)
Complete the table for the provided graph.
solve pls brainliest
answer I think it
21/16
hop it helps
A radioactive substance decays exponentially. A scientist begins with 150 milligrams of a radioactive substance. After 20 hours, 75 mg of the substance remains. How many milligrams will remain after 27 hours?
Answer:
Step-by-step explanation:
How many solutions are there to the equation below?
6x + 33 = 6(x+6)
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve ~
[tex]6x + 33 = 6(x + 6)[/tex][tex]6x + 33 = 6x + 36[/tex]Here, 6x is present on both the sides of equation so they cancel out ~ therefore there is no one solution satisfying the equation ~
Answer:
there are zero solutions
\_(-_-)_/
i asked g o o g l e thats what it said
How many equal parts are there in this image
Answer:
6
It's kind of blury, so I can't really see it.
Answer:
4
Step-by-step explanation:
-
What are the odds of winning a game, if the probability of winning the game is 4/10
Answer:
40%
Step-by-step explanation:
4/10 = 40/100
40/100 as a percentage is 40%
Which of the following statements are true? Select all that apply.
Answer:
They have 2 left one OR 2 right ones are true
Step-by-step explanation:
The perimeter of a rectangle is 40 inches. If the width of the rectangle is 7 inches, what is the length?
Answer:
l=13in
Step-by-step explanation:
hope this helps
Answer:
13
Step-by-step explanation:
(40-7*2)/2=20-7=13
Plz help I need help
x + 23 = -22
x = ?
x = -22 - 23
x = - ( 22 + 23 )
x = -45
x = -45 ✔️
Answer:
x - 23 = -22
x= -45
Step-by-step explanation:
x - 23 = -22
x = -22 - 23
x = -(22+23)
x = -45
Two angles form a linear pair. The measure of one angle is twice the measure of the other angle. Find the measure of each angle.
The smaller angle measures =?
The larger angle measures =?
Answer:
The smaller angle measures = 60º
The larger angle measures = 120º
Step-by-step explanation:
The sum of angles in linear pair is 180
The measure of one angle is twice the measure of the other angle.
x + 2x = 180
Combine like terms
3x = 180
Divide both sides by 3
x = 60º
2x = 120º
Classify the triangle by both its
sides and its angles using the
choices provided. Choose all that
apply.
H
th
130°
커
O isosceles
equilateral
scalene
acute
obtuse
right
equiangular
Answer:
obtuse isosceles
Step-by-step explanation:
the dashes on the sides show congruency. since two sides have the same number of dashes those two sides are congruent. since the third side has 3 dashes instead of 2, it isn't congruent to the other two meaning the triangle is an isosceles triangle.
since the angle is >90, the triangle is obtuse
1. Mark bought 5 shirts for 32.35.What was the cost of each stint in dollars and
Answer:
$6.47 for each shirt
Step-by-step explanation:
If s is the cost of a shirt, then the cost of 5 shirts is ...
5s = $32.35
s = $32.35/5 = $6.47 . . . . . divide both sides of the equation by 5
The cost of each shirt was $6.47.
_____
Additional comment
The equation formalizes the math for you, perhaps helping you see that division by 5 is required.
To find cost per shirt, divide cost by shirts. "Per" can often be thought of as meaning "divided by."
One angle of the following triangle measures 2x. How many degrees does that angle
2x
X+15
2x+10
Given info:- In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.
Explanation:-
Let the angles be 2x, x+15 and 2x+10 respectively.
∵ Sum of the three angles of a triangle is 180°
∴ ∠A + ∠B + ∠C = 180° [Sum of ∠s of a ∆=180°]
→2x + x+15 + 2x+10 = 180°
→ 2x + x + 2x + 15 + 10 = 180°
→ 3x + 2x + 15 + 10 = 180°
→ 5x + 15 + 10 = 180°
→ 5x + 25 = 180°
→ 5x = 180°-25
→ 5x = 155°
→ x = 155°÷5 = 155/5 = 31.
Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.
∴ ∠A = 2x = 2(31) = 62°
∠B = x+15 = 31 + 15 = 46°
∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.
Factorise
x2 + 11x + 28
Answer:
[tex]\huge\boxed{(x+7)(x+4)}[/tex]
Step-by-step explanation:
To factor a polynomial expression with a degree of 2, simply look at the second and last term (11x and 28). Discard the x and you are left with 11 and 28.
To factor the equation, simply find two numbers that add to 11, and multiply to 28, 4 and 7. Then, simply use those two numbers to make the terms.
Hope it helps :) and let me know if you want me to elaborate.
please help me with this last question
Answer:
Step-by-step explanation:
3t² - t
3(4²) - 4
3(16) - 4
48 - 4
44
A store has apples on sale for $3.00 for 2 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $12.00? Complete the explanation
Answer:
you can buy 6 pounds of apples
Step-by-step explanation:
Two sides of a triangle measure 27 inches and 32 inches. Which could represent the length of the third side?
Answer:
Step-by-step explanation:
The third side could have dimension x
32 - 27 < x < 32 + 27
5 < x < 59
There are a few special triangles
Equilateral triangle could have legs
27, 32, 27
or
32, 27, 32
A right triangle could have the third side
√(27² + 32²) = √1753 which is about 41.87
or
√(32² - 27²) = √295 which is about 17.18
Notice all these fit within the original limits specified.
Answer:
The third side is greater than 5 but less than 59.
Step-by-step explanation:
Remember: Given any two sides of a triangle, the length of the third side is greater than the difference but less than the sum of the length of the two given sides.
So 27 and 32 The given two sides
32 - 27 = 5 Greater than the difference (greater than 5)
32 + 27 = 59 Less than the sum (less than 59)
{3x−5y=4 -2x+6y=18
Please help solve for x and y
Answer:
hello mam I don't know what to say to someone who makes the way to the way to the way to the way to the way to the way to work now where is my turn to the dark side I will be
Use the elimination method to solve the system of equations. Choose the correct orderly pair.
2x+4y=16
2x-4y=0
A. (2,-4)
B. (4,-2)
C. (2,4)
D. (4,2)
(2x+4y=16).....1
(2x-4y=0).....2
then take equation 1 plus 2
4x=16
x=4
then take equation 2 to solve for y
2x-4y=0
(2×4)-4y=0
y=2
therefore answer is D. (4,2)
Holly ate 3 brownies from a pan with nine pieces what two equivalent fractions describe how much she ate?
What's the walker instructions for this problem?
I'm not sure what the stuff in blue indicates. If we ignore that, then the flat horizontal line means the person stays motionless at some distance away from the motion detector. They don't move because the slope = rise/run is zero here, to indicate a zero speed.
The ratio of girls to boys on the school field trip is 6 to 7. There are 24 girls on the field trip. What is the total number of students on the field trip? NO LINKS!!!
A.28
B.52
C.4
D.13
Answer:
B.52 is the answer i think for the total number of kids
There are four goldfish and six guppies in a fish tank. What is the ratio of the guppies to goldfish in the tank? Write your answer in simplest form if possible
Answer:
2:3
Step-by-step explanation:
4 goldfish
6 guppies
ratio sign is :
4:6
simplyfy
2:3
Answer:
2:3
Step-by-step explanation:
4:6 ratio simplified is 2:3
Find a formula for the inverse of the following function, if possible.
[tex]P(x) = 3\sqrt[3]{x} - 1[/tex]
[tex]P^{-1}(x) = \\\\[/tex]
or does not have an inverse function
to find the inverse of any expression, we start off by doing a quick variables switcheroo and then solve for "y", so let's do so
[tex]\stackrel{P(x)}{y}~~=~~3\sqrt[3]{x}-1\implies \stackrel{\textit{quick switcheroo}}{x~~ =~~3\sqrt[3]{y}-1}\implies x+1 = 3\sqrt[3]{y}\\\\\\\cfrac{x + 1}{3}=\sqrt[3]{y}\implies \left( \cfrac{x + 1}{3} \right)^3 =y\implies \cfrac{(x+1)^3}{3^3}=y\implies \cfrac{(x+1)^3}{27}=\stackrel{\stackrel{y}{\downarrow }}{P^{-1}(x)}[/tex]
If the amount of fruit increases by 40%, what percent of the original amount do you have?
Answer:
First, subtract to find the amount of change: 225 - 25 = 200. The increase is 25. Next, divide the amount of change by the original amount:.
Step-by-step explanation:
Complete the table below to find solutions to the linear equation −3x−y=27.
Answer:
×=3×+y=27
Step-by-step explanation:
the variables are not the same so you cant do anything
Answer:
X Y (X,Y)
0 -27 (0,-27)
4 -39 (4,-39)
-9 0 (-9,0)
How many tiles would be used to make figure five