Answer:
see below
Step-by-step explanation:
Part I: Use scientific notation to estimate the number of hours in one year
Using the conversion factors
Estimate using scientific notation
31,556,952 seconds = 3.2 * 10^7
3600 seconds = 3.6 * 10 ^2
1 year = 3.2 * 10^7 seconds * 1 hour/ 3.6 * 10 ^2 seconds
3.2 /3.6 =.88888 (repeating)
10^7 / 10^2 = 10^5
8.88888 * 10 ^5
8.888 * 10 ^4 hours
Part II: Use scientific notation to calculate the exact number of hours in one year.
31,556,952 seconds = 3.1556952 * 10^7
3600 seconds = 3.6 * 10 ^2
1 year = 3.1556952 * 10^7 seconds * 1 hour/ 3.6 * 10 ^2 seconds
3.1556952 /3.6 =.876582
10^7 / 10^2 = 10^5
.876582 * 10 ^5
8.76582*10^4 hours
Part III: In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences in your answers.
Part II is an exact answer, where Part I is an estimate. Both Parts give values in the thousands of hours, and are both between 8700 and 8900 hours. Part I can be done without a calculator where Part II is much harder to do without a calculator.
Answer:
see below
Step-by-step explanation:
Part I: Use scientific notation to estimate the number of hours in one year
Using the conversion factors
Estimate using scientific notation
31,556,952 seconds = 3.2 * 10^7
3600 seconds = 3.6 * 10 ^2
1 year = 3.2 * 10^7 seconds * 1 hour/ 3.6 * 10 ^2 seconds
3.2 /3.6 =.88888 (repeating)
10^7 / 10^2 = 10^5
8.88888 * 10 ^5
8.888 * 10 ^4 hours
Part II: Use scientific notation to calculate the exact number of hours in one year.
31,556,952 seconds = 3.1556952 * 10^7
3600 seconds = 3.6 * 10 ^2
1 year = 3.1556952 * 10^7 seconds * 1 hour/ 3.6 * 10 ^2 seconds
3.1556952 /3.6 =.876582
10^7 / 10^2 = 10^5
.876582 * 10 ^5
8.76582*10^4 hours
Part III: In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences in your answers.
Part II is an exact answer, where Part I is an estimate. Both Parts give values in the thousands of hours, and are both between 8700 and 8900 hours. Part I can be done without a calculator where Part II is much harder to do without a calculator.
Enter the decimal 1.45 as an improper fraction in simplest form.
Answer:
29/20
Step-by-step explanation:
1.45= 145/100
145÷5=29/100÷5=20
therefore the answer is 29/20
Each card costs $ 3.00. how much do 44 cards cost
Answer:
132 dollars
Step-by-step explanation:
3.00 x 44 = 132
Answer:
3*44=132
------------
This is a sidenote. Sometimes, I give you the expression to find the answer, you just have to calculate it.
When an opinion poll selects cell phone numbers at random to dial, the cell phone exchange is first selected and then random digits are added to form a complete telephone number. When using this procedure to generate random cell phone numbers, approximately 55% of the cell numbers generated correspond to working numbers. You watch a pollster dial 15 cell numbers that have been selected in this manner.
(a) What is the mean number of calls that reach a working cell number?
0.55
15
8.25
30
(b) What is the standard deviation ????σ of the count of calls that reach a working cell number?
0.55
2.872
1.927
3.7125
(c) Suppose that the probability of reaching a working cell number was p=0.70p=0.70 . How does this new pp affect the standard deviation?
When p=0.70,σ=3.24 calls.
When p=0.70,σ=3.15 calls.
When p=0.70,σ=1.775 calls.
When p=0.70,σ=10.5 calls.
What would be the standard deviation if p=0.80 ? (Enter your answer rounded to three decimal places.)
σ=
What does your work show about the behavior of the standard deviation of a binomial distribution as the probability of a success gets closer to 1 ?
As p approaches 1 , the standard deviation increases (that is, it approaches 0).
As p approaches 1 , the standard deviation increases (that is, it gets further and further from 0)
As p approaches 1 , the standard deviation remains constant.
As p approaches 1 , the standard deviation decreases (that is, it approaches 0).
Answer:
a. [tex]Mean = 8.25[/tex]
b. [tex]SD = 3.7125[/tex]
c. [tex]SD = 3.15[/tex]
d. [tex]SD = 2.4[/tex]
e. As p approaches 1 , the standard deviation increases (that is, it approaches 0).
Step-by-step explanation:
Solving (a):
[tex]p = 55\%[/tex]
[tex]n = 15[/tex]
Find Mean
Mean is calculated as thus:
[tex]Mean = n * p[/tex]
[tex]Mean = 15 * 55\%[/tex]
Convert percentage to decimal
[tex]Mean = 15 * 0.55[/tex]
[tex]Mean = 8.25[/tex]
Solving (b):
Calculate Standard Deviation (SD)
Standard deviation is calculated as thus:
[tex]SD = n * p * (1 - p)[/tex]
[tex]SD = 15 * 55\% * (1 - 55\%)[/tex]
Convert percentage to decimal
[tex]SD = 15 * 0.55 * (1 - 0.55)[/tex]
[tex]SD = 15 * 0.55 * 0.45[/tex]
[tex]SD = 3.7125[/tex]
Solving (c):
Calculate Standard Deviation if p = 0.7
Using same formula used in (b) above
[tex]SD = n * p * (1 - p)[/tex]
[tex]SD = 15 * 0.7 * (1 - 0.7)[/tex]
[tex]SD = 15 * 0.7 * 0.3[/tex]
[tex]SD = 3.15[/tex]
Solving (d):
Calculate Standard Deviation if p = 0.8
Using same formula used in (b) & (c) above
[tex]SD = n * p * (1 - p)[/tex]
[tex]SD = 15 * 0.8 * (1 - 0.8)[/tex]
[tex]SD = 15 * 0.8 * 0.2[/tex]
[tex]SD = 2.4[/tex]
Solving (e):
What does the working show
In (b)
When p = 0.5
SD = 3.7125
In (c)
When p = 0.7
SD = 3.15
In (d)
When p = 0.8
SD = 2.4
Notice that as the value of p increases, the standard deviation gets closer to 0.
68x57
answer and explanation please.
Answer:
3876
Step-by-step explanation:
Answer:
answer is 3876
Step-by-step explanation:
you put it like this: 68
x 57
Multiply 8 x 7 get 56 then put the 5 on top of the 6 then put a zero down multiply 6 x 5 add 5 then add the answers then u good :>
HELP PLZ!!! Really need it
Answer:
A. 76
B. x^2 +21x + 96
C. x^2 - 9x + 6
Step-by-step explanation:
For this problem, just plug in the number in f(x) for x in the function.
A. f( 5 ) -> Plug in 5 for every x and then simplify
(5)^2 + 9(5) + 6
= 25 + 45 + 6
= 76
B. f( x+6 ) -> Plug in (x+6) for every x and then simplify
(x+6)^2 + 9(x+6) + 6
x^2 + 12x +36 + 9x+ 54 + 6
x^2 +21x + 96
C. f( -x ) -> Plug in -x for every x and then simplify
(-x)^2 + 9(-x) + 6
x^2 - 9x + 6
I understand this but this question I don’t get :( I need answer
A $15,600 car depreciates 9% each year. Based on the depreciation model,
how many years will it take for the car to be worth less than $100?
Answer:
Step-by-step explanation:
Take away 9% of $15,600 = 14196
Take away 9% of $14196 = 12918.36
(and so on)
Until you get less than $100. Note that you may need to round up some numbers after the decimal point.
4. What is the value of |-3.8/? *
Your answer
This is a required question
Answer:
3.8
Step-by-step explanation:
the absolute value of any negative number is going to be positive.
50 pts!!!!!!! A line goes through the points (7, 3) and (–1, 5). Write the equation of the line in point-slope form (How did you go from those two points to having the equation in point-slope form?) show work. Thanks
Answer:
see below
Step-by-step explanation:
First we need to find the slope
m = ( y2-y1)/(x2-x1)
= ( 5-3)/(-1-7)
= 2/-8
= -1/4
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y -3 = -1/4( x-7)
or using the other point
y -5 = -1/4( x--1)
y -5 = -1/4( x+1)
5x^(2)+2 in verbal form
Answer:
Five x squared plus two
Step-by-step explanation:
An exponent of two is always pronounced as "squared"
Raphael drove 141.4 miles in 2.8 hours. (Don't label your answer) What was his average speed in miles per hour as a decimal?
Answer:
His average speed is 50.5 miles per hour
Step-by-step explanation:
I divided 141.4 miles by 2.8 hours and got 50.5 miles per hour
NASCAR fans love race day when they get a chance to cheer on their favorite team If a driver was able to travel 600 miles and 3 hours what was his average speed ?
Answer:
200 mph
Step-by-step explanation:
I think
What is the solution to this equation?
2x - X+ 9 + 3x - 2 = 16
Answer: x=9/4
Step-by-step explanation:
combine like terms then
4x+7=16
4x=9
x=9/4 or 2.25
2x -x + 9 +3x -2 = 16
COMBINE LIKE TERMS
2x- x + 3x =4x 9 -2=7
4x+7 = 16
4x +7 -7 = 16 -7
4x = 9
4x/4 = 9/4
x = 2.25 or 2 1/4
Celia works as a waitress. She earns $6.75 per hour and works 40 hours a week. She also earns an average of $255 per week in tips. How much will Celia earn in a year
6x + 12 = 54
Can you please help me and show your work please if anyone gets it right im going to mark you as brainlylist
Answer:
x=7
Step-by-step explanation:
thats the answer
Adrienne and Suki simplified the expression -8 -(-6). Whose answer is correct ? Explain where the error was made ... Adrienne: -8 -(-6)= 14 and Suki : -8 -(-6)= -2
Answer:
-2 and suki was right aDriene was wrong as he added
Step-by-step explanation:
-8-(-6)
-8+6 (it becomes positive 6 as a negative and negative give u a positive )
= -2
The Suki answer is correct and the correct answer is -2.
It is required to find the error.
What is expression?An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined
Given:
Adrienne and Suki simplified the expression -8 -(-6)
We have to find the error was made by Adrienne or Suki .
The expression is
-8 -(-6)
Open bracket we have and both minus sign is multiply to get a plus sign as a result, we get
=-8+6
=-2
The correct answer is -2.
Therefore, the Suki answer is correct and the correct answer is -2.
Learn more details about expression here:
https://brainly.com/question/14083225
#SPJ2
Write an equation for the line described. Give your
answer in slope-intercept form.
m=6/7, through (6,5)
Answer:
see below
Step-by-step explanation:
The slope is given as 6/7. In slope-intercept form that is the coefficient of x, eliminating choices C and D.
If we try the point in the remaining equations, we find ...
A: y = 6/7(6) -1/7 = (36 -1)/7 = 35/7 = 5 . . . . . the correct equation
B: y = 6/7(6) +1/7 = (36+1)/7 = 37/7 = 5 2/7 . . . does not match (6, 5)
The appropriate choice is A.
Elena went to the store where you can scoop your own popcorn and buy as much as you want.she brought 10 ounces of spicy popcorn for $2.50.How much popcorn can you buy per dollar?
Answer:
A. 4 ounces
Step-by-step explanation:
Given that Elana paid $2.50 for 10 ounces of popcorn, let x be the amount popcorn a dollar will buy.
Thus we have:
$2.50 = 10 ounces
$1 = x
Cross multiply
$2.50 × x = 10 ounces × $1
Divide both sides by $2.50
($2.50 × x)/$2.50 = (10 ounces × $1)/$2.50
x = (10 ounces)/2.50
x = 4 ounces
Therefore, you can buy 4 ounces of popcorn per dollar
After a concert for 1600 people, only eight people said they would not go to see the band again what percentage of the people who went to the concert said they would not go to see the band again
Answer:
0.5%
Step-by-step explanation:
That percentage would be:
8 people
--------------------- = (1/200) = 0.005 multiplied by 100% yields 0.5%
1600 people
PLEASE HURRY
Solve the equation.
36 - (x + 9) = 7x-5
The solution is x =
Does anyone understand this? It’s supposed to be a 2 digit code
jamie has taken three math tests. her scores were 85, 90, and 89. to get an average of 90 what must be the sum of all her tests ? what score does she need on the fourth test so that her mean score is 90 ?
Answer:
96 marks
Step-by-step explanation:
We know that the mean of a given amount of values is the sum of the values divided by the number of values
Let the marks in the fourth test = x marks
Mean of the values = 90
(85 + 90 + 89 + x) / 4 = 90
264 + x = 360
x = 96
Therefore, Jamie needs 96 marks in her 4th test to get a mean score of 90
The class mark of the class 90-130 is:
(a) 90 (b) 105 (c) 115 (d) 110
Answer:
D) 110
Step-by-step explanation:
Triangles WILL GIVE BRAINLIEST
Answer:
A
Step-by-step explanation:
A
Answer:
Q9 - Option 1---- A - 15.6 Square Units
Q10 --Option --- (B) RECTANGLE
Step-by-step explanation:
Q9 --
Analyze:we know area of triangle = 1/2 ab sin theta
Where theta is the angle included between sides A and side B
Calculate:A = 5.2
B = 7
theta = 121 degrees
Area:1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units
Conclusion
The area of the triangle is 15.6 Square Units
Q10 - The cross-section of a right cylinder which is perpendicular to its base is a RECTANGLEOption --- (B) RECTANGLE
Hope this helps!
If the diameter is 15.5 cm what is the circumference
Answer:
see below
Step-by-step explanation:
The circumference is given by
C = pi *d
C = 15.5 pi
If we approximate pi by 3.14
C = 15.5 * 3.14
C =48.67
If we use the pi button
C =48.69486813
Answer:
48.7 cm
Step-by-step explanation:
Diameter times pi
What property does x - 7 = x + (-7) repersent
Use trigonometric ratios to solve each right triangle. Find the length os AC
Step-by-step explanation:
Hey there!
Given;
The measure of angle B is 45°.
And AB = 14.
Taking refrence angle as B, we get;
AC = perpendicular
AB = hypotenuse
Using ratio of sin,
[tex] \sin(45°) = \frac{p}{h} [/tex]
Put all values.
[tex] \sin(45°) = \frac{ac}{14} [/tex]
Simplify it to get answer.
[tex] \frac{1}{ \sqrt{2} } = \frac{AC}{14} [/tex]
[tex] \sqrt{2} AC = 14[/tex]
[tex]AC = \frac{14}{ \sqrt{2} } [/tex]
[tex]AC= \frac{14 \times \sqrt{2} }{ \sqrt{2} \times \sqrt{2} } [/tex]
[tex]AC = \frac{14 \sqrt{2} }{2} [/tex]
[tex]AC = 7\sqrt{2} [/tex]
Therefore the answer is option B.
Hope it helps...
WHAT IS THE ANWSER 4x+2=2x+12
Answer:
x=5
Step-by-step explanation:
Look at the attachment below
Hope this helps (:
Answer:
x = 5
Step-by-step explanation:
The ratio of the length of a rectangle to its width is 4 1/2 : 2 1/4. What is the unit rate of the length per width of the rectangle?
Answer:
The ratio simplifies fully to 2:1
=======================================================
Work Shown:
4 & 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5
2 & 1/4 = 2 + 1/4 = 2 + 0.25 = 2.25
The original ratio is the same as 4.5 : 2.25
Divide both parts by 2.25 and you'll end up with 2:1
4.5/2.25 = 2
2.25/2.25 = 1
This means the length is twice as long compared to the width.
How many solutions does this have: 6x+4=2(3x+2)
Answer: Infinitely many solutions
