Americans eat an average of 100 acres of pizza per year. That is equivalent to 4,356,000 square feet of pizza per year. How is the area expressed using scientific notation?
Answers
Answer:
D. [tex] 4.356 * 10^6 [/tex] ft²
Step-by-step explanation:
Scientific notation of a number is expressed in the following form, [tex] a * 10^b [/tex]
Where,
a = decimal number (1 ≤ |a| < 10)
b = the power of 10 whereby the scientific notation is equivalent to the original number.
To express 4,356,000 square feet in scientific notation, do the following:
1. Move the decimal point to the left up to the last non-zero digit = a = 4.356
2. Since we moved the decimal point by 6 decimal places, therefore, b = 6
3. Substitute the values of the variables into
Thus:
4,356,000 = 3. Substitute the values of the variables into
a * 10^b
Thus:
4,356,000 = 4.356 * 10^6
Related Questions
Which Theroms can be used to determine that the triangles are congruent
Answers
Answer:
SAS
Step-by-step explanation:
side GF is shared.
angles between the sides, ∠EGF ≅ ∠HFG because they are corresponding congruent angles
What is the image of the point (-2,7) after a rotation of 180° counterclockwise
about the origin?
Answers
180° rotation of any point about the origin gives the value with an alternate sign thus it will be (2,-7).
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane.
Given a point let's say A(-2,7)
If we rotate any point on coordinate geometry by 180 degrees about the origin then the horizontal and vertical distinctions will remain the same but the sign will change as shown below.
A(-2,7) ← Second quadrent
A'(2,-7) → Fourth quadrant
Hence "180° rotation of any point about the origin gives the value with an alternate sign thus it will be (2,-7)".
For more about coordinates,
brainly.com/question/7869125
#SPJ5
Complete the statement with the term that makes it true.
If there is no data for a value within the range, there still needs to be a
for that value in a frequency table.
O column
Orow
Otable
Answers
Answer is in the file below
tinyurl.com/wpazsebu
A sample of 5 integers selected is shown. Does this sample represent the general rule for picking an integer from 1 to 25 in the population of integers from 1 to 1,000? Explain.
Answers
Answer:
No
Step-by-step explanation:
The general rule for picking sample from a population at random ensures that all members of the population have equal chances of being selected.
Therefore to select 5 samples in the range 1 - 25 from a population of integers from 1 - 1000.
Firstly, befure we start selecting our samples directly from the population since we are not interested in all integers, we seperatw the integers belonging to our target samples from the population first, the we select 5 samples out of the sepwratwd integers between 1 - 25. This ensures that all our 5 samples will have integers between 1 - 25 becausw integers 1 - 25 is the range we want our specs to be within and not between 1 - 100.
However, from the trial samples recorded none of the samples have integer between 1 - 25 ; jnecw, the samples must have been chosen directly from the entire population of 1 - 1000
A random sample of students were surveyed as to how much non-school screen time
they had each week (for purposes of the survey, screen time was defined as: time
spent online, on social media, watching TV, or playing video games) and if their grade
average was above or below 80.
Screen Time
above below
8
8
less than 4 hours
18
16
4-8 hours
20
16
8-12 hours
11
17
more than 12 hours
What percent of the students who spend 4-8 hours a week on screens reported a
grade average above 802 Round your answer to the nearest tenth of a percent.
Answers
Answer:
the answer is 25 .
Step-by-step explanation:
use inductive reasoning to predict the next line in the sequence of computations.
1=1×1
1+7=2×4
1+7+13=3×7
Answers
Answer:
1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n
Step-by-step explanation:
The computation of the next line in the sequence is shown below:
As we can see that there is an increase of 6 in the left side and on the right hand side there is an increase of one
So,
1 = 1 × n
1 + (1+6) = 2 × n
1 + (1+6) + (1+6+6) = 3 × n
So, the next line would be
1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n
i.e.
1 + 7 + 13 + 19 = 4 × 10
As 1 + 7 + 13 + 19 = 40
And 40 = 4 × 10
A drug made by a pharmaceutical company comes in tablet form. Each tablet is branded as containing 105 mg of the particular active chemical. However, variation in manufacturing results in the actual amount of the active chemical in each tablet following a normal distribution with mean 105 mg and standard deviation 1.513 mg.
A) Calculate the percentage of tablets that will contain less than 104 mg of the active chemical.
B) Suppose samples of 15 randomly selected tablets are taken and the amount of active chemical measured. Calculate the percentage of samples that will have a sample mean of less than 104 mg of the active chemical.
Answers
Answer:
a) 25.46% of tablets will contain less than 104 mg of the active chemical.
b) 0.52% of samples will have a sample mean of less than 104 mg of the active chemical.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Normal distribution with mean 105 mg and standard deviation 1.513 mg.
This means that [tex]\mu = 105, \sigma = 1.513[/tex]
A) Calculate the percentage of tablets that will contain less than 104 mg of the active chemical.
The proportion is the pvalue of Z when X = 104. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{104 - 105}{1.513}[/tex]
[tex]Z = -0.66[/tex]
[tex]Z = -0.66[/tex] has a pvalue of 0.2546
0.2545*100 = 25.46
25.46% of tablets will contain less than 104 mg of the active chemical.
B) Suppose samples of 15 randomly selected tablets are taken and the amount of active chemical measured. Calculate the percentage of samples that will have a sample mean of less than 104 mg of the active chemical.
Sample means from samples of 15. So, by the Central Limit Theorem:
[tex]n = 15, s = \frac{1.513}{\sqrt{15}} = 0.39[/tex]
The proportion is the pvalue of Z when X = 104. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{104 - 105}{0.39}[/tex]
[tex]Z = -2.56[/tex]
[tex]Z = -2.56[/tex] has a pvalue of 0.0052
0.0052*100 = 0.52
0.52% of samples will have a sample mean of less than 104 mg of the active chemical.
$17.99
with an
11.25% tax
Answers
Answer:
your final price is 19.02
your ta rate is 5.75
Step-by-step explanation:
your
Help??I have 4 questions and im confused on all of them
Answers
A=4•3.14•r^2
And you already know that the radius is 6 so you would go ahead and plug in the numbers
A=4•3.14•4^2
4^2 is 16 so your final equation would be
A=4•3.14•16
And your answer is
=452.39
Samuel use the distributive property to simplify the expression -6(-2 - 10x) - 7x And came up with the answer 53X -12, which is wrong.
What was Samuels mistake
Answers
Answer:
-6 x -2 = 12
-6 x -10x = 60x
12 - 60x
60x - 7x = 53x
12 - 53x
He flipped it the wrong way its supposed to be 12 - 53x not 53x - 12.
In ASTU, S = 360 cm, t = 110 cm and u=450 cm. Find the measure of ZU to the
nearest 10th of a degree.
Answers
Answer:140.1
Step-by-step explanation:
Answer:
140.1
Step-by-step explanation:
can someone go to my profile and answer my recent questions ty
Answers
1) Silk Road 2) Increase of trading
Liana is putting a border around a right triangle and needs to figure out the triangle's height. If the triangle has a base length of 9 cm and a total area of 27 cm², what is the height?
Answers
Answer:
6
Step-by-step explanation:
Whats 3642o x 3234d +99? :/
Answers
Answer:
It's 5
Step-by-step explanation:
Thank you very much for the points :DD
Have a nice day!
a paper popcorn cone measures 4 inches in a diameter and is 9 inches high?
Answers
Explanation is in the file
tinyurl.com/wtjfavyw
Answer:
A
Step-by-step explanation:
Bc I said
solve using elimination x-2y=12 and 5x+3y=-44 *
(4,8)
(-4,8)
(4,-8)
(-4,-8)
Answers
Step-by-step explanation:
( x-2y=12)5
5x-10y=60
- 5x+3y=-44
____________
13y=-104
y=-104/13
Pleasseeeeeeeeee help[pppppppppp i will answer any of your questionsssss pleaseeeeeeeeeeee
Answers
Answer:
The dependent variable is c and the independent variable is s
Step-by-step explanation:
S does not rely on anything. C relies on the answer to the equation.
Find the area of the shaded region
Answers
Answer:
A
Step-by-step explanation:
8-6=2
6×2=12
12×2=24
Put your answer in cm^2
Write the log equation as an exponential equation. You do not need to solve for x.
In (4x + 8) = 2 + 5
HELP
Answers
4x + 8y= -8
X= -2y + 1
Answers
Answer:
Step-by-step explanation:
Help me please I really need help whoever answers this question first gets a thanks and that’s worth five points
Answers
Answer:
5 in.
Step-by-step explanation:
whats 3/2 divided by 8/3 in fraction form
Answers
Answer:
9/16
Step-by-step explanation:
3/2 / 8/3 =
3/2 x 3/8 = 9/16
Hope that helps!
Solve the equation.
n+75=105
Answers
Answer:
n = 30....................
Answer:
30
Step-by-step explanation:
n+75=105
We move all terms to the left:
n+75-(105)=0
We add all the numbers together, and all the variables
n-30=0
We move all terms containing n to the left, all other terms to the right
n=30
What's the variable of x?
Answers
Step-by-step explanation:
in right angled triangle ;
hypotenuse² =( side 1)² +(side 2)²
(65)²=(25)² +(x)²
4225 = 625 + (x)²
4225 - 625 = x²
3580 = x²
59.83 = x
On each request the ith of n possible books is the one chosen with probability pi. To make it quicker to find the book the next time, the librarian moves the book to the left end of the shelf. Define the state at any time to be the sequence of books we see as we examine the shelf from left to right. Since all the books are distinct this list is a permutation of the set
{1, 2,... n}, i.e., each number is listed exactly once. Show that Ï(i1,... in)= pi1. pi^2/1-pi_1 . pi^3/1-pi_1- pi_2 ........ pi^n/1-pi_1- pi_2.....pi_n is a stationary distribution.
Answers
Answer:
attached below
Step-by-step explanation:
loops have permutations , steps to show that the given set of permutations is a stationary distribution is attached below
Elyssa bought a rectangular aquarium. The measurements, in feet (ft), are shown below.
How much water will it take to fill the aquarium
Answers
Answer:
[tex] 34 \frac{13}{20} \: {ft}^{3} [/tex]
Step-by-step explanation:
Water required to fill the aquarium
= Volume of the aquarium
[tex] = lbh \\ \\ = 4 \frac{2}{5} \times 3 \frac{1}{2} \times 2 \frac{1}{4} \\ \\ = \frac{22}{5} \times \frac{7}{2} \times \frac{9}{4} \\ \\ = \frac{11}{5} \times \frac{7}{2} \times \frac{9}{2} \\ \\ = \frac{693}{20} \\ \\ = 34 \frac{13}{20} \: {ft}^{3} [/tex]
The diameter of a circle is 100cm what is the circumference of the circle use 3.14 for
Answers
Given diameter (D) = 100
Radius = D/2 = 50
Circumference = πD
= 100π
= 314.15926535898
the given is a square pyramid. The side length of the base of the pyramid is 28 millimeters. The volume of the pyramid is 1296 cubic mm. What is the height of the pyramid
Answers
Which ordered pair is a solution of the equation?
x+7y=17x+7y=17x, plus, 7, y, equals, 17
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Only (10,1)(10,1)left parenthesis, 10, comma, 1, right parenthesis
(Choice B)
B
Only (-4,3)(−4,3)left parenthesis, minus, 4, comma, 3, right parenthesis
(Choice C)
C
Both (10,1)(10,1)left parenthesis, 10, comma, 1, right parenthesis and (-4,3)(−4,3)left parenthesis, minus, 4, comma, 3, right parenthesis
(Choice D)
D
Neither
Answers
Answer:
hshshshshshegeheysheue
ejurehehehejendnendjd
Answer:
C
Step-by-step explanation:
What is the area of the rectangle above?
A.
72 square units
B.
66 square units
C.
17 square units
D.
34 square units
Answers
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu