1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vlada [557]
3 years ago
12

Maya’s school held an aluminum collection program in which they collected aluminum and brought it to be recycled. In the first w

eek, Maya collected four over twenty lb of aluminum and her friend Abigail collected seven over eight lb.
a. Which girl collected more aluminum?

b. How much aluminum did the two girls collect?
Mathematics
2 answers:
sineoko [7]3 years ago
7 0
A- Abigail

B- The two girls both collected 107.5
makvit [3.9K]3 years ago
4 0
Abigail collected more, she collected 87.5 lb
they collected 107.5 pounds together
You might be interested in
I have to do this in order. PEMDAS. but i keep getting the answer wrong... the answer is -53.
DerKrebs [107]
I think i know, lets see
6 0
3 years ago
ccording to the U.S. National Weather Service, at any given moment of any day, approximately 1000 thunderstorms are occurring wo
viva [34]

Answer:

The critical value of <em>z</em> for 99% confidence interval is 2.5760.

The 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).

Step-by-step explanation:

Let <em>X</em> = number of lightning strikes on each day.

A random sample of <em>n</em> = 23 days is selected to observe the number of lightning strikes on each day.

The random variable <em>X</em> has a sample mean of, \bar x=8.1\ mn and the population standard deviation, \sigma=0.51\ mn.

The (1 - <em>α</em>)% confidence interval for population mean <em>μ</em> is:

CI=\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

Compute the critical value of <em>z</em> for 99% confidence interval is:

z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.5760

*Use a <em>z</em>-table.

The critical value of <em>z</em> for 99% confidence interval is 2.5760.

Compute the 99% confidence interval for population mean number of lightning strike as follows:

CI=\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\=8.1\pm2.5760\times\frac{0.51}{\sqrt{23}}\\=8.1\pm0.2738\\=(7.8262, 8.3738)\\\approx(7.83, 8.37)

Thus, the 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).

The 99% confidence interval for population mean number of lightning strike  implies that the true mean number of lightning strikes lies in the interval (7.83 mn, 8.37 mn) with 0.99 probability.

3 0
3 years ago
Enter a negative number that is greater than -8
Art [367]

Answer:

-7

Step-by-step explanation:

5 0
3 years ago
Using properties of sets show that : a) A ∩ (A’ U B) = A ∩ B b) A ∩ (A U B )’ = Ф
asambeis [7]

Answer:

a) From A ∩ A' = ∅, we have;

A ∩ (A' ∪ B) = A ∩ B

b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;

A ∩ (A ∪ B)' = ∅

Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

A ∩ A' = ∅

Therefore, for A ∩ (A' ∪ B) = A ∩ B, we have

A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

A ∩ A' = ∅ (complementary law of sets)

Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B)  = (A ∩ B) (Addition to zero identity property)

∴  A ∩ (A' ∪ B) = A ∩ B

b) By De Morgan's law

(A ∪ B)' = A' ∩ B'

Therefore, A ∩ (A ∪ B)' = A ∩ (A' ∩ B')

By associative law of sets, we have;

A ∩ (A' ∩ B') = (A ∩ A') ∩ B'

A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅  ∩ B' = ∅

Which gives;

A ∩ (A ∪ B)' = ∅.

4 0
3 years ago
A Spaceship traveled 93 billion miles. in scientific notation that is how many miles?
Alex
<span>93 * 10^9 = 9.3 * 10^10

</span>
4 0
3 years ago
Other questions:
  • One spool contains ​ 4 2/3 ​ yards of twine. A second spool contains 11 feet of twine.
    11·1 answer
  • 72 is what percent of 180
    13·2 answers
  • If Susie is 14, what was her age x years ago? x - 14 14 - x 14x
    7·2 answers
  • What is the minimum of 18.6
    10·1 answer
  • What is the difference written in scientific notation?
    6·1 answer
  • There are 96 problems on a math test. 40% is Algebra problems and the rest are Arithmetic problems. How many Arithmetic problems
    10·2 answers
  • What is the value of q in the equation 5q − 10 = 75?
    7·1 answer
  • He hypotenuse of a right triangle is the side opposite to the
    6·2 answers
  • Find the area of the shaded region.<br>pls do this with explanation.<br>​
    14·2 answers
  • Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.e. common rat
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!