Numbers can be represented using the place value system
The number 22 thousands, 22 hundreds, 222 tens represents 26420
How to calculate the numberThe number is given as:
22 thousands, 22 hundreds, 222 tens
Rewrite the number as:
22 thousands + 22 hundreds + 222 tens
Express the place values as figures
22 * 1000 + 22 * 100 + 222 * 10
Evaluate the product
22000 + 2200 + 2220
Evaluate the sum
26420
Hence, 22 thousands, 22 hundreds, 222 tens represents 26420
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Male mosquitos have pretty short lifespans. Males of a certain species have lifespans that are strongly skewed to the right with a mean of 888 days and a standard deviation of 666 days. A biologist collects a random sample of 505050 of these male mosquitos and observes them to calculate the sample mean lifespan. We can assume that the mosquitos in each sample are independent.
What will be the shape of the sampling distribution of the sample mean lifespan?
Answer:
Approximately Normal
Step-by-step explanation:
The sample size is large (n50≥30n), so the sampling distribution of the sample mean will be approximately normal even though the population is skewed.
Find the x - and y -intercepts of the graph of the linear equation -4x+8y=-16 .
The x -intercept is
.
The y -intercept is
.
Answer:
x -intercept is 4
y -intercept is -2
Step-by-step explanation:
SOLUTION:
(x -intercept)
-4x+8y= -16
-4x+8×0= -16
-4x+0= -16
-4x/-4 = -16/-4 (divide both sides by -4)
x=4
______________________
(y -intercept)
-4x+8y= -16
-4×0+8y= -16
0+8y= -16
8y/8 = -16/8 (divide both sides by 8)
y= -2
•| HOPE IT HELPS |•
Which expression is equivalent to 3m + 2m + m?
Answer:
6m
Step-by-step explanation:
Combining like terms, we have
3m + 2m + m = (3 + 2 + 1)m = 6m.
Find the area and the circumference of a circle with radius 3 cm.
Write your answers in terms of it, and be sure to include the correct units in your answers.
1. Observe problem
Solve for the area and Circumference of a circle who's radius is 3 cm
Area for circle formula:
pi*r^2=
9pi
I simplicity is needed, 9 pi is around
28.2743338823cm^2
Circumference for circle formula: 2*pi*r
which is
6pi
if simplicity is again needed, its around
18.8495559215cm
2(x - 10) = 59
What are the steps to come to the correct answer?
Answer:
39.5
Step-by-step explanation:
Open the bracket by multiplying the numbers in the bracket by 2
2x-20=59
collect like terms(-20 crossing over the equal sign will become +20
2x=59+20
2x=79
Divide both sides by 2
[tex]\frac{2x}{2} =\frac{79}{2}[/tex]
x=39.5
[tex] \sf \large↪2(x - 10) = 59[/tex]
[tex] \: \: [/tex]
[tex] \sf \large \: ↪2x - 20 = 59[/tex][tex] \: \: [/tex]
[tex]\sf \large \: ↪2x = 59 + 20[/tex][tex] \: \: [/tex]
[tex]\sf \large \: ↪2x = 79[/tex]
[tex] \: \: \: [/tex]
[tex] \sf \large \: ↪x = \cancel \frac{79}{2} [/tex][tex] \: \: [/tex]
[tex]\sf \large \color{purple} ↪39.5[/tex][tex] \: \: \: [/tex]
Evaluate the following
2/3 + 11/3 – 1/3
Answer:
12/3 which is =4
Step-by-step explanation:
for adding fractions you keep the denominator the same and just add or subtract the numerators
2+11-1=12
Please a genius help me please
Answer:
B, D, and F
They match the graph
The most likely sum that can occur when the two dice are rolled is
:: 4
:: 7
:: 10
:: 12
Answer:
7
Step-by-step explanation:
7 is the most common roll with two six-sided dice.
Determine whether the given value is a solution of the equation.
Answer:
84 is a solution.
Step-by-step explanation:
To find out if 84 is a solution or not, we plug in the value and simplify.
(84)/14 = 66 = 6Therefore, 84 is a solution.
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
x+2
x+4
Answer:
A=x²+6x+8
Step-by-step explanation:
Answer: A=x²+6x+8
Step-by-step explanation: Since we are looking to find the area of the entire rectangle, we would use the formula. is the length and is width. You would approach this problem like any other area of the rectangle problem, except you are dealing with polynomials instead.
Simplify the expression 6h +(-7.7d) – 16 + 5d - 2.6h.
Answer:
3.4h-2.7d-16
Step-by-step explanation:
Before we even start, we can already simplify some things
For example, in this equation it says +(-7.7d)
We can simplify this to 6h-7.7d-16+5d-2.6h
Now we have to get all of the common variables together
So the d’s and h’s have to be combined together in this equation
This makes a new equation of 3.4h-2.7d-16
That is our answer!
What is the bar model for 20-x=6
Answer:
14
Step-by-step explanation:
20-x=6
20-14=6
hope this will help you
HELPPPPPPPPPPPPHHHHHHH
Answer:
26.3
Step-by-step explanation:
Danny and Delilah were playing a game where they drew digits and placed them on a game board. Danny built the number 247. Delilah built the number 724. How much greater is the value of the digit 2 in Danny's number than the value of the digit 2 in Delilah's number?
Answer:
• This student received Met because the student stated that the 2 in Danny’s number is ten times greater than the 2 in Delilah’s number. The student stated that the 4 in Delilah’s number is one tenth the value of the 4 in Danny’s number. The student stated that the 7 in Delilah’s number is 100 times the 7 in Danny’s number.
This student received Progressing because the student correctly stated that Danny’s number was ten times bigger. The student also stated that the 4 in Delilah’s number is ten times smaller. The student stated the value of the digit 7 without referring to how the values compared.
Step-by-step explanation:
hope this helps :) (:
If 600 people submitted the survey above, how many were in the 21-30 year old group? A) 112 B) 122 C) 132 D) 142
The survey is an illustration of expected value
132 people in the survey were in the 21 - 30 year old group
How to determine the number of people in the groupFrom the complete question, 22% of people are in the 21 - 30 year old group
Given that 600 people were surveyed.
The number of people in the 21 - 30 year old group would be:
n = 22% * 600
This gives
n = 132
Hence, 132 people in the survey were in the 21 - 30 year old group
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2(x+5) = [ ]x + [ ] what is the answer
Answer:
2x + 10
Step-by-step explanation:
2(x+5)
(2)(x) + (2)(5)
2x + 10
Answer:
2x + 10
Step-by-step explanation:
2 × X= 2x
2×5=10
so it is 2x + 10
Really confused as to what I need to do. I tried to solve for Y and got 69 but that didn't work. Am I supposed to use a^2 + b^2= c^2? How do I do that when there are multiply letters? I really feel like there's just something I'm not seeing. Help is really appreciated, and please explain your answer.
Answer:
t = [tex]\sqrt{63} \\[/tex] or 7.94
Step-by-step explanation:
Yes, you have to use the Pythagorean theorem
A^2+B^2=C^2
So, A=9, B=t, C=12
9^2+t^2=12^2
81+t^2=144
-81 -81
t^2 = 63
t = [tex]\sqrt{63} \\[/tex]
in decimal 7.94
Hope this helps :)
pls give brainliest
Given two sides of a triangle, find a range of possible lengths for the third side.
4 cm, 17 cm
(-4x-9)+(-2x-7) in simplest term
Answer:
-6x-16
Step-by-step explanation:
Combine like terms, (-4x-2x) + (-9-7) = -6x - 16
Step-by-step explanation:
We'll be combining like-terms.
Remove the addition sign, as it has no effect to the expression:
[tex] - 4x - 9 - 2x - 7[/tex]
Combine Like-Terms:
[tex] - 6x - 16[/tex]
-6x - 16 is your simplified expression.
WILL GIVE BRAINLIEST AND 15 POINTS!
Answer:
Rational
Step-by-step explanation:
[tex]\sqrt[3]{125}[/tex] is also equivalent to 5
The definition of a rational number is any whole number, fraction, or decimal that ends or repeats, while an irrational number is any number that cannot be turned into a fraction.
5 is a whole number, and therefore, is a rational number.
Answer:
rational
hope it helps you
if x varies direcly as y and x=9 when y=3 find x when y=12
Answer:
36
Step-by-step explanation:
x = 9 and y = 3
3 times 3 equal 9 so if y is 12 then 12 x 3 = 36
make h the subject of formula
[tex]a = \frac{1}{2} bh[/tex]
Answer:
[tex]a = \frac{1}{2} bh \\ \\ h = a \div ( \frac{1}{2}b ) \\ \\ h = a \times \frac{2}{b} \\ \\ h = \frac{2a}{b} [/tex]
Brainliest if correct
9y-18 9y-18 9y-18
9y-18 9y-18 9y-18
PLEASE HELP WILL GIVE BRAINLIEST
SOMEONE HELP RIGHT NOW!! 50pts!!! NEED CORRECT ANSWER AND WORK/PROOF!!!
(SAT Prep) Find the value of x
Answer:
x=70°
Step-by-step explanation:
y=350° (angle inside triangle equal to 35°)
x=180-y-(180-105)
x=70°
Hope it helps!
Solution:
We can see that two lines are parallel, intersecting a line. We can also see a triangle formed with the lines.
=> x + (180 - 105) + 35 = 180 [The '35' came from Alternate inner angles]=> x + 75 + 35 = 180=> x + 110 = 180=> x = 180 - 110=> x = 70The measure of x is 70°.
Find the inverse of the matrix (3, -2)(-10, 9) if it exists.
Answer:
The answer is ' A '
Step-by-step explanation:
:D
The inverse of the matrix will be [tex]\left[\begin{array}{cc}\dfrac{9}{7}&\dfrac{2}{7}\\\dfrac{10}{7}&\dfrac{3}{7}\\\end{array}\right][/tex]. The correct option is A.
What is a matrix?A matrix is a rectangular array or table of numbers, symbols, or expressions that are arranged in rows and columns to represent a mathematical object or a property of such an object in mathematics. For instance, consider a matrix with two rows and three columns.
Given that the matrix is [tex]\left[\begin{array}{cc}3&-2\\-10&9\\\end{array}\right][/tex]. The inverse of the matrix can be solved as below,
[tex]A^{-1} = \dfrac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\\\end{array}\right][/tex]
[tex]A^{-1} = \dfrac{1}{3\times9-20}\left[\begin{array}{cc}9&2\\10&3\\\end{array}\right][/tex]
[tex]A^{-1} = \dfrac{1}{7}\left[\begin{array}{cc}9&2\\10&3\\\end{array}\right][/tex]
[tex]A^{-1}=\left[\begin{array}{cc}\dfrac{9}{7}&\dfrac{2}{7}\\\dfrac{10}{7}&\dfrac{3}{7}\\\end{array}\right][/tex].
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To rent a certain meeting room, a collage charges a reservation fee of 49 dollars and an additional fee of 5 dollars and 40 cents per hour. The film club wants to spend at most 81 dollars and 40 cents on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room.
John has some apples, and two brothers, Jack
and Jim.
John eats 3 of his apples and splits the
remainder equally between himself and each
one of his brothers. Jack and Jim both eat half
the apples they have been given. Together the
three brothers have 4 apples left.
How many apples did John start with?
John now has X - 3
and splits the remainder equally between himself and his brothers
Each of the brothers now has (X-3)/3 apples (we have to assume here that Jack and Jim didn't have any apples to begin with).
Jack and John both eat half of the apples they have been given
They now have (X-3)/3/2, or just (X-3)/6
Together the three brothers have 4 apples left
Now we say 4 = (X-3)/3 (Jim) + (X-3)/6 (Jack) + (X-3)/6 (John)
From here it's algebra. A nice trick we can do here is to add (X-3)/6 + (X-3)/6 together first, since they have the same denominator:
4 = (X-3)/3 + (X-3)/3
From there we can do the same trick, since now we have two terms that are both something/3:
4 = 2(X-3)/3
Multiply both sides by 3, divide both sides by 2:
6 = X - 3
Add 3 to both sides
9 = X
Answer:
8 or 9
Step-by-step explanation:
John eats 3 gives brothers and himself the remainder they both eat half and both halves are left making it 1 so add up to how much was eaten 3+1=4 and they have 4 left making it 8. Or just say x-3-1=4 and x=8. It can also be 9 so hopefully, someone else answers because if we add the halves remaining to the altogether it becomes 9 instead. Hope it's right and makes sense.
cassidy had 8 7/10 inches of string. she used 5 3/8 inches of string
Answer:
Cassidy has 4 in of string left.
Step-by-step explanation:
I hope it helps! Have a great day!
Lilac~
Answer:
Step-by-step explanation:
4 inches
Jonathan has 2 solids. One is a right cylinder, and
the other is a sphere. The radius of the base of the
cylinder is the radius of the sphere. The height of
the cylinder is 10 cm. The diameter of the sphere is
12 cm. What is the lateral surface area, in square
centimeters of the cylinder?
O 1847
O 60
O 787
0 120
If you multiply all of them you would get 787 so your answer would be C.
It would be 787