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
To learn more about division visit:
https://brainly.com/question/21416852
#SPJ1
Lola purchases music from two online services. Company A charges Lola a $10
subscription fee plus 89 cents for each song. Company B charges no subscription fee but
$1.19 per song. What is the minimum number of songs Lola would have to purchase for
Company A to be the cheaper option?
9514 1404 393
Answer:
8. (c) 34
9. 38 women
Step-by-step explanation:
8. The price for s songs is ...
A = 10 +0.89s
B = 1.19s
We want A < B, so ...
10 +0.89s < 1.19s
10 < 0.30s
33.33... < s
Lola would have to purchase 34 songs for Company A to be the cheaper option.
__
9. Let m represent the number of men. Then the number of women (w) is ...
w = 4m+2
The total of men and women is 47, so we have ...
m + w = 47
m + (4m +2) = 47
5m = 45 . . . . . . . . . subtract 2
m = 9 . . . . . . . . . . . .divide by 5
4m +2 = 4(9) +2 = 38 . . . . find the number of women
The PTA has 38 women in it.
) Cars are parked in line as they come off the assembly lines. There are three models: red cars which take up 2 spaces, blue cars which also take up 2 spaces, and green cars which take up only 1 space. Let an be the number of ways of filling the first n parking spaces with red, blue and green cars.
Answer:
Hello your question has some missing information below is the complete question
answer :
[tex]a_{n} = a_{n-2} + a_{n-2} + a_{n-1}[/tex]
Step-by-step explanation:
Red car and Blue car take up 2 spaces each
Green cars take up 1 space
lets determine the number of ways of filling up the parking spaces
i) First lets assume the last space is filled by Green car then there will be [tex]n^{th}[/tex] space occupied hence there will be ( n - 1 ) spaces left to be filled in [tex]a_{n-1}[/tex] ways
ii) lets assume the last space is filled by either a Red car or a Blue car then there will be [tex]n^{th} + ( n -1 )^{st}[/tex] parking space occupied hence there will be
( n - 2 ) spaces left to be filled in [tex]a_{n-2}[/tex] ways
Hence A closed formula for [tex]a_{n}[/tex]
[tex]a_{n} = a_{n-2} + a_{n-2} + a_{n-1}[/tex]
where : a1 = 1 way , a2 = 3 ways
5. Consider the contexts the follow.
a. Create a table for each context.
b. Graph the data in each table.
c. Determine a recursive rule then an explicit equation that fits each context.
Context D: The Rowing Team is selling cookies for $1 each. A friend is selling the cookies and allows you to pay later for cookies you buy beyond the $3 you have in your pocket. How much will you pay your friend if you buy C cookies? (Negative dollars are dollars you pay your friend after the sale).
Answer:
d
Step-by-step explanation:
1+3=4
help me pls plz please teachers math simple math lol ok smart wow cool points brainly tiktok
Answer:
5. 30km 6. sorry I forgot how to do these 1. 240m 2. 36cm 3. 64ft
Step-by-step explanation:
At Yogurtland, the scale says that Brooke has 9 ounces of chocolate yogurt in her cup. Brielle's yogurt weighs 13 ounces. How many pounds of frozen yogurt did they buy altogether? Express your answer as a mixed number.
Answer:
1.375 pounds
Step-by-step explanation:
have a nice night mate
:)
mark brainliest please :)
determine the difference of the place value of 7s
in 3701 4472
Answer:
Place value of 1st digit=7,000,000
,,. ,,,. ,,,. of 2nd digit= 70
Difference= 7,000,000-7
You get 6,999,930
This is your answer. If I'm right so,
Please mark me as brainliest. thanks!!!
In which step did the student make the first error?
step 1
step 2
step 3
step 4
Answer:
there is no picture for us to see so we can't answer it.
Step-by-step explanation:
sorry
Answer:
C: step 2 (Took the test on edge got 100%)
Step-by-step explanation:
Your question was incomplete you have forgotten to include the graph necessary to answer.
8,782 divided by 2 can you please explain me the process so i can do it
Answer:
4,391
Step-by-step explanation:
next time use a caculator luv <3
Answer:
4,391
Step-by-step explanation:
You can start of by multiply 100's by 2 and keep going until you get close to 8,782 then start going down some numbers till you get 8,782.
Name
Week 5 Test Taking Skills, Page 1
1
7
The weight of a box of rice is
8
pound. If Mrs. Ortega buys 6 boxes of rice, how many pounds of rice is she
buying?
Rice
Rice
Rice Rice Rice Rice
Weight Weight Weight? Weight |
Weight? Weight?
A
5 1 / 2
1b
B
Ib
8
с
4 - lb
D
5 lb
Answer: D - 5 1/4
Step-by-step explanation:
7/8 x 6 = 5.25
5.25 = 21/4
21/4 = 5 1/4
Answer:
D) 5 1/4
Step-by-step explanation:
which statement about this triangle is true?
tan 0= 4/5
sin 0 = 3/5
cos 0 = 3/5
sin 0 = 3/4
Answer:
I'm not sure but I believe it is than 0=4/5
A cube is a rectangular prism with the same measurement for length, width, and height. If a cube is 4 inches tall, what is it’s volume?
Who ever answers it gets Brainly
Which of the following equation represents a linear function
Answer: it is c
Step-by-step explanation:
A machine used to fill beverage cans is supposed to put exactly 12 ounces of beverage in each can, but the actual amount varies. The standard deviation of fill volumes is 0.05 ounce. How large a sample of cans must be selected to estimate the population mean fill volume with a 95% confidence interval that has a margin of error of 0.008 ounce? Round your answer UP to the nearest integer.
Answer:
A sample of 151 cans must be selected.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The standard deviation of fill volumes is 0.05 ounce.
This means that [tex]\sigma = 0.05[/tex]
How large a sample of cans must be selected to estimate the population mean fill volume with a 95% confidence interval that has a margin of error of 0.008 ounce?
We need a sample of n.
n is found when M = 0.008. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.008 = 1.96\frac{0.05}{\sqrt{n}}[/tex]
[tex]0.008\sqrt{n} = 1.96*0.05[/tex]
[tex]\sqrt{n} = \frac{1.96*0.05}{0.008}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.05}{0.008})^2[/tex]
[tex]n = 150.1[/tex]
Rounding up:
A sample of 151 cans must be selected.
IS DUE PLZ HELP Mabel ate break fast at a restaurant. The bil lcame to $38. If she left an 18% tip, how much was the tip?
Answer:
37.82
Step-by-step explanation:
Turn 18% into decimal=0.18 subtract 0.18 to 38=37.82
Hope it's correct!
5
Given volume of rectangular prism is 432 m.
h
12 m
4 m
Find height?
Answer:
9m
Step-by-step explanation:
volume = length x width x height so
432 / 12 / 4 = 9
I need help if you awnser right I will mark you
Answer:
300
Step-by-step explanation:
I think like 70 precent sure
A backpack is on sale for $51.00. This is 75% of the original price. What was the original price?
Please give me the correct answer.Only answer if you're very good at math.Please use the Pythagorean Theorem formula which is a^2 + b ^2 = c^2.
Answer:
8.7 in
Step-by-step explanation:
a = 7.3
b = 4.8
c^2 = 7.3^2 + 4.8^2 = 76.33
c = sqrt(76.33) which is around 8.7
1/2 + (- 3/4)
1. 1
2. -1
3. -1/4
4. 1/4
Answer:
3. -1/4
Step-by-step explanation:
Similar to doing 0.5-0.75 which ends up as -0.25 which is equal to -1/4
I need help with this
PLEASE HELP TANGENT LINESSSS
9514 1404 393
Answer:
x = 154
Step-by-step explanation:
Angle x° is supplementary to the external angle:
x° = 180° -26°
x° = 154°
Answer:
Step-by-step explanation:
sum of four angles of a quadrilateral=360°
each tangent measures 90°
26+90+90+x=360
206+x=360
x=360-206=154°
what is the length of x ??
Jimmy eats seven cookies every three minutes. How long does it take him to eat 28 cookies?
Answer:
12min
Step-by-step explanation:
if7=3
28=?
28×3÷7=12
Guys help I’m failing math this assignment is 100 points it will boost my grade
Answer:
1. -6.5
2. 8.5
3. -2 7/10
Step-by-step explanation:
If you any more questions comment
could you give me Brₐinliest
Answer:
im not sure
Step-by-step explanation:
lol i just want points
A company that produces white bread is concerned about the distribution of the amount of sodium in its bread. The company takes a simple random sample of 100 slices of bread and computes the sample mean to be 103 milligrams of sodium per slice. Construct a 99% confidence interval for the unknown mean sodium level assuming that the population standard deviation is 10 milligrams.
Answer:
The 99% confidence interval for the unknown mean sodium level is between 100.42 milligrams of sodium per slice and 105.58 milligrams of sodium per slice.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.58.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.58\frac{10}{\sqrt{10}} = 2.58[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 103 - 2.58 = 100.42 milligrams of sodium per slice.
The upper end of the interval is the sample mean added to M. So it is 103 + 2.58 = 105.58 milligrams of sodium per slice.
The 99% confidence interval for the unknown mean sodium level is between 100.42 milligrams of sodium per slice and 105.58 milligrams of sodium per slice.
An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 1 of 2: Suppose a sample of 211 tankers is drawn. Of these ships, 146 did not have spills. Using the data, estimate the proportion of oil tankers that had spills. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
The estimate of the proportion of oil tankers that had spills is 65/211 = 0.308.
Step-by-step explanation:
Proportion of oil tankers that had spills.
Number of tankers with spills divided by the total number of tankers.
In this question:
211 tankers
146 did not have spills, so 211 - 146 = 65 had
Proportion:
[tex]p = \frac{65}{211} = 0.308[/tex]
The estimate of the proportion of oil tankers that had spills is 65/211 = 0.308.
Find x to the nearest tenth
Answer: 0.20
Step-by-step explanation:
Find the missing measure
Can someone help me pls?
Answer:
x = 17.2
Step-by-step explanation:
cos 35 = x/21
0.8192(21) = x
x = 17.2
Caroline misses 25% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 39?
Answer:
156
Step-by-step explanation:
39 * 4 = 156