Given:
Consider the population of California = [tex]3.9\times 10^7[/tex]
Consider the population of Maine = [tex]1.3\times 10^6[/tex]
To find:
The difference between the population of California and Maine.
Solution:
We have,
Population of California = [tex]3.9\times 10^7[/tex]
Population of Maine = [tex]1.3\times 10^6[/tex]
Difference between the population of California and Maine is
[tex]\text{Difference}=3.9\times 10^7-1.3\times 10^6[/tex]
[tex]\text{Difference}=3.9\times 10^7-(0.13\times 10)\times 10^6[/tex]
[tex]\text{Difference}=3.9\times 10^7-0.13\times 10^7[/tex]
[tex]\text{Difference}=(3.9-0.13)\times 10^7[/tex]
[tex]\text{Difference}=3.77\times 10^7[/tex]
Therefore, the correct option is D.
1. When Aaron runs the 400 meter dash, his finishing times are normally distributed with a mean of 80 seconds and a standard deviation of 2.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 99.7% of his finishing times in the 400 meter race.
Answer:
(72.5,87.5)
Step-by-step explanation:
The interval of times that represents the middle 99.7% of his finishing times in the 400 meter race is; (73.5, 87.5)
What is the interval from empirical rule?
We are given;
Mean; E(X) = μ = 80 seconds
Standard Deviation; σ = 2.5
From the empirical rule, the probability of obtaining values within one deviation from the mean is 0.68; within two deviations is 0.95 and within 3 deviations from the mean is 0.997.
We have 99.7 % of the values within 3 deviations from the mean in our question and so the intervals are;
μ - 3σ = 80 - 3(2.5) = 73.5
μ + 3σ = 80 + 3(2.5) = 87.5
Read more about empirical rule at; https://brainly.com/question/16029773
The graph of a function is a line that passes through the points (3,17) and (6,32). What is the equation of this function?
y=__x +__
Answer:
y=9,49
Step-by-step explanation:
y=3,17×+6,32
y=9,49×
Identify the line segment that is a chord.
Answer:
The line segment that is a chord is AE.
Hope it helps :)❤
Pls I need the answer rn
Answer:
x = 30
Step-by-step explanation:
since 2 sides are equal, that means their angles are also equal.
you do 180-120 to get 60 and then divide 60 by 2 to get 30
Answer:
x=30
Step-by-step explanation:
We know all the angles a triangle combined are 180 the two bottom angles for this one are equal so we can do
(180-120)/2=30
Plz help ASAP just say give me the answer and the number the answer goes in thank you very much
Answer:
1) 85
2) 95
3) 75
4) 90
5) 120
6) 110
7) 65
8) 130
A teenager has 8 tee shirts, 2 belts, and 5 pairs of jeans. How many different outfits can he wear, assuming that he must wear a belt to keep those pants up and keep that shirt tucked in?
Answer: 80 ways
Step-by-step explanation:
If 8 tee shirts can be worn in 8 ways
similarly for 2 belts = 2 ways
five pair of jeans= 5 ways
so total number of ways=5*2*8=80 ways
Write 67% as a fraction or mixed number
Answer:
67/100
Step-by-step explanation:
basically just put 100 as denominator
John saved up enough money to buy a $20 can of shoe shine after paying for the $150 pair of Nikes. How much money did he save in all?
Answer:
170$
Step-by-step explanation:
150+20=170
Answer:
Step-by-step explanation:
170
For which equation is g = 0 not the solution?
12 g = 0
3 g = 30
g + 8 = 8
9 g = 0
Answer:
3g = 30
Step-by-step explanation:
Well, lets check each one to see if any leaves g = 0
12g = 0 (Given)
÷12 ÷12 (Get "g" on its own)
g = 0 (0 ÷ 12 = 0)
We know it is not this one since g = 0
3g = 30 (Given)
÷3 ÷3 (Get "g" on its own)
g = 10 (30 ÷ 3 = 10)
This is our answer since g = 10 in this equation, and not g = 0 we know that this is our equation.
Just in case, I will do the other options just not as in-depth!
g + 8 = 8
-8 -8
g = 0
9g = 0
÷9 ÷9
g = 0
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
A line graph titled Video Rental Stores has year on the x-axis and stores (thousands) on the y-axis. In 2009, there were 4,000 stores.
The line graph shows the number of video rental stores for the years 2005 through 2012.
There were stores in 2009.
Answer:
its 4,000
Step-by-step explanation:
please help!
A restaurant needs a block of ice that is exactly 480 cubic inches in volume.
The height of the ice block must be 10 inches.
Answer:
Step-by-step explanation:
Part A,
99% sure this is D
Part B
It's probably about 4 feet tall.
Part C,
4 in. x 12 in.
2 in. x 24 in.
8 in. x 6 in.
3 in. x 16 in.
Answer:
part A: all the above
partt B: 48
part C: 4 in. x 12 in.
2 in. x 24 in.
8 in. x 6 in.
3 in. x 16 in.
Step-by-step explanation:
[Help asap, will mark brainliest] Find the area of the right triangle.
Be sure to include the correct unit in your answer.
Answer:
45m
Step-by-step explanation:
1. Multiply the two sides.
2. Divide it by 3 (or multiply by 1/3)
3. The answer is your area.
Please help me with this question
Answer: 275 cm
volume = length x width x height
v = 6.25 x 8 x 5.5
v = 275
Please help if you know the answer thank you
Answer:
a
Step-by-step explanation:
a
Answer: 4 4/10
Step-by-step explanation:
4 4/10 as an Improper fraction is 44/10, 32/10 is less then 44/10.
the sum of twice a number and 11 is equal to 55
Answer:
Equation: 2x+11=5
Solving the equation: x=22
Step-by-step explanation:
The sum of twice a number is 2x+
The sum of twice a number and 11 is 2x+11
The sum of twice a number and 11 is equal to 55 is 2x+11=55
Solving the equation: 2x+11-11=55-11
2x=44
2x/2=44/2
x=22
Help will give crown I don’t not get this
Answer:
4 - 0.6 (Repeating) x = 0.75
Step-by-step explanation:
You divide the fractions by each other ex. 2 divided by 3
Answer:
[tex] 48 - 8x = 9[/tex]
Step-by-step explanation:
Multiply both sides by LCM. which is 12.
[tex]12(4 - \frac{2}{3} x) = \frac{3}{4} \times 12[/tex]
[tex]48 - 8x = 9[/tex]
Can someone plz help me with this one problem plzzzzz!!!!
Rewrite the expression, the quotient of k decreased by 4 and 9, using the division symbol and as a fraction.
Answer:
(k - 4) ÷ 9
(k - 4) / 9
Step-by-step explanation:
k decreased by 4 = k - 4
quotient of k decreased by 4 and 9
= (k - 4) ÷ 9 (using division sign)
Or
= (k - 4) / 9 (as a fraction)
What is the equation of the line that passes through the point ( − 0.5 , 8 ) and has a slope of − 5
Answer (assuming that the equation can be written in point-slope form):
[tex]y-8 = -5(x+\frac{1}{2} )[/tex]
Step-by-step explanation:
Use the point-slope formula, [tex]y-y_1 = m (x-x_1)[/tex] , to write the equation of the line in point-slope form. Substitute values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.
Since [tex]m[/tex] represents the slope, substitute -5 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, substitute the x and y values of (-0.5, 8) into the formula as well. Remember that we can convert -0.5 to a fraction: [tex]-\frac{1}{2}[/tex]. So, substitute [tex]-\frac{1}{2}[/tex] for [tex]x_1[/tex] and 8 for [tex]y_1[/tex]. This gives the following answer and equation:
[tex]y-8 = -5(x+\frac{1}{2} )[/tex]
A writer for a magazine recently did a test to determine which mid-range digital camera takes the best pictures. Her method is described below. Which part of the method describes an area of potential bias? She gathered 20 of the best-selling cameras and used the same photographer to take 100 pictures with each camera. She ensured that the environment and the subject of each picture were consistent across all cameras and used a 10-point scale to determine picture quality. Of the cameras tested, two were from companies who are major advertisers in the magazine.
Answer:
Two were from companies who are major advertisers.
Step-by-step explanation:
Edmentum/ Plato family for the win.
Of the cameras tested, two were from companies that are major advertisers in the magazine.
What is potential bias?Any affiliations, financing, or financial holdings that could be seen as influencing the review's objectivity to give rise to potential bias.
Such elements might consist of, but are not limited to, the following:
Employment, professional associations, paid to consult, and participation in groups that support relevant causes.
Given that:-
She gathered 20 of the best-selling cameras and used the same photographer to take 100 pictures with each camera.
She ensured that the environment and the subject of each picture were consistent across all cameras and used a 10-point scale to determine picture quality.
Of the cameras tested, two were from companies that are major advertisers in the magazine.
The potential bias is In the cameras tested, two were from companies that are major advertisers in the magazine.
To know more about a potential bias follow
https://brainly.com/question/3039092
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During a blind taste test of 8 different
sodas, some people were asked to choose
a favorite. Each dot represents one person.
Taste Test
.
A
B
С
F
G
H
D E
Soda
If the ratio of people choosing B to people
choosing H stays the same, how many
people will choose H if the number of people
who choose B increases to 20?
F 6
G4
H5
J 3
Answer:
the answer is 5
Step-by-step explanation:
the ratio is 4:1 so if you increase B to 20 you divide by 4 to get 5.
20:5=4:1
A $60 video
game is on sale
for 50% off
How much does
It cost after the
discount?
32$
50$
30$
Answer:
It would be 30$.
Step-by-step explanation:
Lets break this down.
50% off 100 would be 50. 50 is half of 100, therefore we know that 50% is half off of something.
We can either divide 60 by 2, or split 60 in half. In turn, we receive 30.
Hope this helps! c:
What are the solutions of the equation (x - 3)2 + 2(x - 3) - 8 = 0? Use u substitution to solve.
Ox= -5 and x = 1
O x= -1 and x = 5
O x= -1 and x = -7
Ox= 1 and x = 7
Given:
The equation is:
[tex](x-3)^2+2(x-3)-8=0[/tex]
To find:
The value of x.
Solution:
We have,
[tex](x-3)^2+2(x-3)-8=0[/tex]
Substitute [tex]x-3=u[/tex].
[tex]u^2+2u-8=0[/tex]
Splitting the middle term, we get
[tex]u^2+4u-2u-8=0[/tex]
[tex]u(u+4)-2(u+4)=0[/tex]
[tex](u-2)(u+4)=0[/tex]
Using zero product property, we get
[tex]u-2=0\text{ and }u+4=0[/tex]
[tex]u=2\text{ and }u=-4[/tex]
Now, substitute [tex]u=x-3[/tex].
[tex]x-3=2\text{ and }x-3=-4[/tex]
[tex]x=2+3\text{ and }x=-4+3[/tex]
[tex]x=5\text{ and }x=-1[/tex]
Therefore, the correct option is b.
The solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.
Quadratic equationFrom the question, we are to determine the solution of the given equation
(x - 3)² + 2(x - 3) - 8 = 0
First, we will expand the equation and clear the brackets
[tex](x - 3)^{2} + 2(x - 3) - 8 = 0[/tex]
[tex](x - 3)(x - 3) + 2(x - 3) - 8 = 0[/tex]
[tex]x^{2} -6x + 9 +2x - 6 - 8 = 0[/tex]
Simplifying
[tex]x^{2} -4x - 5 = 0[/tex]
Factorizing, we get
[tex]x^{2} -5x +x- 5 = 0[/tex]
[tex]x(x-5)+1(x- 5) = 0[/tex]
[tex](x+1)(x-5)= 0[/tex]
Then,
x + 1 = 0 or x - 5 = 0
x = -1 or x = 5
Hence, the solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.
Learn more on solving Quadratic equations here: https://brainly.com/question/8649555
What is the solution to the inequality? -6x > 36
Answer:
x<-6
Step-by-step explanation:
Flip the sign on a negative
Answer:
x < -6
Step-by-step explanation:
What should be done to x^2-10x in order to create a perfect square?
A)subtract 25
B)subtract 5
C)add 5
D)add 25
Answer: B)subtract 5
(x-5)^2-25
Step-by-step explanation:
2a=-10
Divide both sides by 2
2a/2=-10/2
Simplify
a=-5
Add and subtract
x^2-10x+(-5)^2-(-5)^2
Complete the square
(x-5)^2-(-5)^2
Simplify;
(x-5)^2-25
Answered by one other than the ONE & Only #QUEEN herself aka #DRIPPQUEENMO!!
HOPE THIS HELPED!!
the circumference of a circle is about 29.202 inches. the circles area is about ___ square inches.
use 3.14 for pi.
round your answer to the nearest tenth.
Answer:
110
Step-by-step explanation:
really Gregg gift vg6
A point is reflected across the x-axis. The new point is located at (4.75, -2.25) Where was the original point located.
Answer:
(4.75, 2.25)
Step-by-step explanation:
Given the coordinate (x,y). If this coordinate is reflected over the x axis, the resulting coordinate will be (x, -y)
Note that the y coordinate was negated.
Let the original point needed be (x, y)
If the new point is located at (4.75, -2.25)
Since the y coordinate was negated, then;
-y = -2.25
y = 2.25
x = 4,75 (x coordinate remains the same)
Hence the original point is (4.75, 2.25)
Which expression is equivalent to 11(3 + 10x)?
Answer:
33+ 110x
Step-by-step explanation:
open the bracket.
hope it helps!!!
Please help! 90 x 120 = ? divided by 2
90 x 120 = 10800
10800/2 = 5400
Answer:
21600=xStep-by-step explanation:
so this is the problem:
90x120=x/2
first, you can multiply 90 and 120 to get 10800.
then, your equation looks like this
10800=x/2
you can multiply both sides by 2
2(10800)=(x/2)(2)
then, you get this
21600=x
hope this helped!!!
Besides 33 and 1, what is one factor of 33?
Answer:
11, 3
Step-by-step explanation:
11x3 equals 33
3x11 equals 33
Answer:
Factors of 33
Factors of 33: 1, 3, 11, and 33.
Prime Factorization of 33: 33 = 3 × 11.
Step-by-step explanation:
