(Scientific Notation in the Real World MC)
The length of a bacterial cell is about 3 x 10−6 m, and the length of an amoeba cell is about 4.5 x 10−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.
2 x 102
2 x 103
0.7 x 101
6.67 x 102
Answers
By dividing the length of bacteria cell to length of amoeba cell we find option (D) i.e 6.67x102 is the correct answer.
what is division?Division is an arithmetic operation that involves dividing one number (the dividend) by another number (the divisor) to find the quotient.
What are different arithmetic operators?Arithmetic operators are symbols that represent mathematical operations that can be performed on one or more operands. The most common arithmetic operators are:
Addition (+): Adds two operands and produces the sum.
Subtraction (-): Subtracts one operand from another and produces the difference.
Multiplication (*): Multiplies two operands and produces the product.
Division (/): Divides one operand by another and produces the quotient.
Modulo (%) : Divides one operand by another and produces the remainder.
Exponentiation (**): Raises one operand to the power of the other and produces the result.
To compare the sizes of the two cells, we need to divide the length of the bacterial cell by the length of the amoeba cell. The result is 3 x 10^−6 m / 4.5 x 10^−4 m = 0.67 x 10^−2.
So, the bacterial cell is approximately 0.67 x 10^−2 times smaller than the amoeba cell.
The correct answer is therefore (D) 6.67 x 10
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Related Questions
In the states of Florida and Colorado, veterinarians investigating obesity in dogs obtained random samples of pet medical records and recorded the weights of the dogs in the samples. A test was conducted of H0 : p1= p2 versus Ha : p1 ≠ p2, where p1 represents the proportion of all overweight dogs in Florida and p2 represents the proportion of all overweight dogs in Colorado. The resulting test statistic for a two-sample z-test for a difference between proportions was 1.85. At the significance level α = 0.05, which of the following is a correct conclusion?
A
There is not sufficient statistical evidence to conclude that the proportion of all overweight dogs in Florida is different from the proportion of all overweight dogs in Colorado because the p-value is greater than 0.05.
B
There is not sufficient statistical evidence to conclude that the proportion of all overweight dogs in Florida is different from the proportion of all overweight dogs in Colorado because the z-test statistic is greater than 0.05.
C
There is sufficient statistical evidence to conclude that the proportion of all overweight dogs in Florida is different from the proportion of all overweight dogs in Colorado because the p-value is greater than 0.05.
D
There is sufficient statistical evidence to conclude that the proportion of all overweight dogs in Florida is different from the proportion of all overweight dogs in Colorado because the p-value is less than 0.05.
E
There is sufficient statistical evidence to conclude that the proportion of all overweight dogs in Florida is greater than the proportion of all overweight dogs in Colorado because the z-test statistic is positive.
Answers
The correct statement regarding the conclusion of the test of the hypothesis is given as follows:
A. There is not sufficient statistical evidence to conclude that the proportion of all overweight dogs in Florida is different from the proportion of all overweight dogs in Colorado because the p-value is greater than 0.05.
What is the relation between the p-value and the conclusion of the test hypothesis?Depends on if the p-value is less or more than the significance level:
If it is more, the null hypothesis is not rejected, meaning that the research study is not statistically significant.If it is less, it is rejected, meaning that the research study is statistically significant.We have a two-tailed test in this problem, as we are testing if the proportions is different.
A p-value of 0.05 is achieved with z = 1.96, hence, as the test statistic is less than 1.96, the p-value is greater than 0.05, and option A is correct.
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A survey was run by a high school student in order to determine what proportion of mortgage-holders in his town expect to own their house within 10 years. He surveyed 35 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.51. The student decides to construct a 95% confidence interval for the population proportion. a)Calculate the margin of error that the high school student will have. Give your answer as a decimal to 2 decimal places. Margin of error
Answers
Answer:
The margin of error is of 0.17.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
The margin of error is:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
He surveyed 35 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.51.
This means that \(n = 35, \pi = 0.51\)
95% confidence level
So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).
a)Calculate the margin of error that the high school student will have.
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(M = 1.96\sqrt{\frac{0.51*0.49}{35}}\)
\(M = 0.1656\)
Rounding to 2 decimal places, the margin of error is of 0.17.
Look at the picture please show your work
Answers
The value of the car after 5 years is $11,809.8.
What is the definition of value?
It is simply the monetary worth of something.
The purchased cost of car is $20,000.
Every year 10% of car value decease.
The formula for the value of car after t years is given by
Car value = 20,000 * (0.9)^t
To find car value after five years, substitute t=5
i.e. car value = 20,000 * (0.9^5) = 11,809.8.
$11,809.8 is the value of the car after 5 years.
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which expressions are equivalent to 3^4/9/3^2/9? select all that apply
Answers
Answer:
first and third expressions
Step-by-step explanation:
using the rule of exponents
\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)
then
\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)
= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression
= \(3^{\frac{2}{9} }\) ← third expression
Arrange the following fractions in order
from least to greatest.
7 15 3 11 13
5 4 2 4 3
Answers
The order of the fraction from least of greatest are
3/11 7/154/3 4/213/5How to order the fractionsThe fractions in order from least to greatest.
7/15 3/11 13/5 4/2 4/3
converting to decimals
7/15 = 0.4667
3/11 = 0.2727
13/5 = 2.6
4/2 = 2
4/3 = 1.3333
The order is written as follows
3/11 = 0.2727
7/15 = 0.4667
4/3 = 1.3333
4/2 = 2
13/5 = 2.6
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6*9+(6+9)=?
Plz I really need this in the next minute.
Answers
What should you substitute for x in the second equation (bottom equation) in order to solve the system by the substitution method?
Answers
We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
The given system of equations are 2x-1/3y = -2...(1)
3x+y=1...(2)
We solve this system of equations by using substitution method.
Let us solve for x in equation to substitute it in equation (2).
2x=-2+1/3y
Divide both sides of equation by 2.
x=-1+1/6y
Now plug in the value of x in equation 2.
Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
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How can you find the area of the entire surface of a prism
Answers
Step-by-step explanation:
but try cutting it into a and b
Advertising a business. Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.
Show all work
Answers
The inequality representing the given situation is -
300x + 700y ≤ 7500
What is advertising?Advertising is the practice and techniques employed to bring attention to a product or service. Advertising aims to put a product or service in the spotlight in hopes of drawing it attention from consumers.
Given is that Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.
We can write the inequality as -
300x + 700y ≤ 7500
where -
{x} - number of online ads posted
{y} - number of TV ads poste
Plot the inequality on the graph. The shaded region represents the possible number of advertisements of each category Bobby can use to advertise.
Therefore, the inequality representing the given situation is -
300x + 700y ≤ 7500
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18. What is the equation of the line
that passes through the point (-2, 7)
and has a slope of zero?
F X= 7
Gy=-2
H x = -2
) y = 7
Answers
Answer:
y=7
Step-by-step explanation:
there is no slope, so all we have is the y-intercept.
What part of an hour passes from 3:12 p.m. to 5:30 p.m.?
Answers
Answer:
2.3 hours
Step-by-step explanation:
From 3:12 pm to 4:12 pm, one hour passes.
From 4:12 pm to 5:12 pm, another hour passes.
From 5:12 pm to 5:30 pm, there are 18 minutes that pass.
Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.
To convert this to a fraction, we can write:
2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours
So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.
round to the nearest $500, what's the most expensive house carlin could buy?
Answers
Answer:
Most expensive house she can buy is $79,500
Step-by-step explanation:
The most expensive house that Carlin could purchase would be $79,500, Check the descriptions below:
Round off to the nearest $500
Given that,
Savings amount = $ 20,000
Range of prices of house = $75,000 to $95,000
Interest at 30 year mortgage for 60,000 = 3.89%
Amount of monthly payment = below $ 400
Based upon these conditions,
The house that she can purchase post rounding off to the nearest 500 would be:
= 20,000 + 59,467
= $79,500
Thus, $79,500 would be the correct answer.
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one day a store sells 14 pairs of jeans . The 14 jeans represents 20% of total number of items sold that day. How many items did the store sell in one day
Answers
Answer:
items sold in 1 day = 140
Step-by-step explanation:
14 pairs of jeans = 28 jeans total
the 14 "pair of jeans" repesents 20% of the total = x
28 = 20x/100
2800/20 = x
x = 140
Drag the item from the item bank to its corresponding match.
Match the prism or cylinder with its volume.
Answers
Answer:
i cant help you because i cant see the things on the picture if u get a better picture i can help
Step-by-step explanation:
Please help just put answer
Answers
............
Ssszxsxxzjdnndnd dj shh dbd
The answer is: 15 ft
Find the surface area of this cube. Be sure to include the correct unit in your answer.
Answers
Answer: 54 inch²
Step-by-step explanation:
The total surface area of the cube can simply be found by finding the area of one face and multiplying by 6 because the cube has 6 faces
Area of one face = 3 inch x 3 inch = 9 inch²
Total surface area of the cube = 9 inch² x 6 = 54 inch²
Dewayne is thinking of a number n, and he wants his sister to guess the number. His first clue is that seven less than five times his number is between thirteen and eighteen. Write a compound inequality that shows the range of numbers that Dewayne might be thinking of.
Answers
Answer:4<n<5
Step-by-step explanation: 13<5n-7<18
20<5n<25
4<n<5
Inequalities help us to compare two unequal expressions.The compound inequality that shows the range of numbers that Dewayne might be thinking of is 8<(5n-7)<13.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The given clue by Dewayne can be written in the form of inequality as shown below. Therefore, we can write,
Five times the number → 5nSeven less than five times a number → 5n-7Seven less than five times his number is between thirteen and eighteen → 8 < (5n - 7) <13.Hence, the compound inequality that shows the range of numbers that Dewayne might be thinking of is 8<(5n-7)<13.
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3z^2-4z+11 -(12z^2+2z-11 find the difference . polynomials functions
Answers
Answer:
−135z
2
−2z
The 2 is representing Square
Step-by-step explanation:
(3z)
2
−4z+11−(12z)
2
+2z−11
Expand (3z)
2
.
3
2
z
2
−4z+11−(12z)
2
+2z−11
Calculate 3 to the power of 2 and get 9.
9z
2
−4z+11−(12z)
2
+2z−11
Expand (12z)
2
.
9z
2
−4z+11−12
2
z
2
+2z−11
Calculate 12 to the power of 2 and get 144.
9z
2
−4z+11−144z
2
+2z−11
Combine 9z
2
and −144z
2
to get −135z
2
.
−135z
2
−4z+11+2z−11
Combine −4z and 2z to get −2z.
−135z
2
−2z+11−11
Subtract 11 from 11 to get 0.
−135z
2
−2z
A number less than six
Answers
can someone help me with this question thank you
Answers
Answer:
7
Step-by-step explanation:
a2+b2+c2
4^2+6^2= c2
16+36=52
C=52
√52=7
C=7
Answer:
7
Step-by-step explanation:
This is a right triangle so we can find the value of c using the pythagoras' teorem
c^2 = a^2 + b^2
c^2 = 4^2 + 6^2
c^2 = 52
c = 7 approximately
Worksheet Check
This is my geometry worksheet, If you could please tell me what to fix I’d appreciate it!
Answers
Possibly another mistake at 3a, Only 2 points (but i could be wrong)
Calcular los 3/5 de los 2/3 de las 3/4 de 560
Answers
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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what is the branch of mathematics that uses variables and operations?
Answers
Answer:
Algebra
Step-by-step explanation:
Answer:
algebra, you can check on google as well
Which describes the slope of the line that passes through (-7,3) and (8,5)?
F Zero
G Undefined
H Positive
D Negative
Answers
Answer:
Positive
Step-by-step explanation:
As the "y" value of the coordinates increases from 3 to 5, the slope must be positive as the "x" value increases.
I need 6 answers, please help thank you!
Answers
Answer: 2x^3 - x^2 - 29x + 28
let y1,y2 be independent random variables both having the uniform(0,1) distribution. re- call that the density function and distribution function of a uniform random variable y
Answers
A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function.
A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. Accordingly, the likelihood of any specific outcome of y is the same, and the likelihood of any range of outcomes is equal to the length of the range. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function. Accordingly, the length of the range multiplied by the likelihood of any specific occurrence yields the cumulative probability of any range of outcomes. Since the likelihood of any specific result in that range is 1 and the range's length is 0.5, for instance, the cumulative probability of 0 y 0.5 is 0.5. Since the likelihood of any given result within that range is still 1, but the range's length is 0.5, the cumulative probability of 0.5 y 1 is 0.75. The chance of any range of outcomes for y1 and y2 if they are independent random variables both having the uniform(0,1) distribution is just the sum of their respective cumulative probabilities.
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What is the variable b equal to?
Answers
Answer:
x=-b-\(\frac{\sqrt{bx^{2} +100a}}{2a}\)
x=-b+\(\frac{\sqrt{bx^{2} +100a}}{2a}\)
Step-by-step explanation:
Susan finished her chores at 4:25. It took her 11 minutes to sweep the floor, 26 minutes to fold the laundry, 18 minutes to do the dishes, and 7 minutes to empty the garbage and recycling. At what time did Susan start her chores?
Answers
Answer:
She started at 3:23
Step-by-step explanation:
and what grade are you in?
4:25 - :11 = 4:14
4:14 - :26 = 3:48
3:48 - :18 = 3:30
3:30 - 7 = 3:23
3:23LOTS OF POINTS!! AND ILL GIVE BRAINLIEST! i need help it keeps telling me i’m wrong and it's so stressful. what is the angle number for m
Answers
how many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches length 3 1/3 inches and height 2 1/3 inches
Answers
Answer:
560/9 or around 63 cubes
Step-by-step explanation:
2 2/3 -> 8/3
3 1/3 -> 10/3
2 1/3-> 7/3
7/3 x 8/3= 56/9
56/9 x 10/3 = 560/27
560/27 divided by 1/3
= 560/9