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3 years ago

Question 8 of 1010 Points

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

4 0

Answer:

Step-by-step explanation:

In a quadrilatteral PQRS,angle P and angle S are not opposite angles

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A square has an area of 144 sq. units. how long is its perimeter?

Arada [10]

Formula for Area of a square:

$\boxed {\boxed {\text {Area = Length x Length}}}$

Given that the area is 144 unit²:

$\text {Length}^2 = 144$

$\text {Length} = \sqrt{144} = 12 \text { units}$

Formula for Perimeter of a square:

$\boxed {\boxed {\text {Perimeter = 4 x Length }}}$

$\text {Perimeter = } 4 \times 12 = 48 \text { units}$

$\boxed { \boxed { \text {Answer: The perimeter is 48 units.}}}$

6 0

3 years ago

The admissions office of a private university released the following admission data for the preceding academic year: From a pool

lina2011 [118]

Answer: Our required probability is 0.1695.

Step-by-step explanation:

Since we have given that

Number of male applicants = 4200

Number of female applicants = 3800

So, total number of applicants = 4200+3800 = 8000

Probability of male entered and subsequently enrolled is given by

$0.4\times 0.4=0.16$

Probability of female entered and subsequently enrolled is given by

$0.4\times 0.45\\\\=0.18$

Number of male entered and subsequently enrolled is given by

$0.16\times 4200\\\\=672$

Number of female entered and subsequently enrolled is given by

$0.18\times 3800\\\\=684$

So, Probability that a student who applied for admission will be accepted by the university and subsequently will enroll is given by

$\dfrac{672+684}{8000}\\\\=\dfrac{1356}{8000}\\\\=0.1695$

Hence, our required probability is 0.1695.

3 0

3 years ago

You and your friend mix water and cirtic acid. You add 3 cups of citrtic acid for every 16 cups of water Your friend adds 2 cups

Vlad [161]

Answer:

A's mixture is more acidic.

Step-by-step explanation:

Given:

Two friends mix water and citric acid.

One (Let A) add 3 cups of citric acid for every 16 cups of water and another (Let B)adds 2 cups of citric acid for every 12 cups of water.

Now, we have to find that whose mixture is more acidic means:-

Solution:

A add 3 cups of citric acid for every 16 cups of water, the ratio = $\frac{3}{16}$

B adds 2 cups of citric acid for every 12 cups of water = $\frac{2}{12}$

Now, to find that who mix more citric acid in the mixture, firstly we will equalize the denominator of both fraction by taking LCM so that can be compare easily.

LCM of 16 and 12:- 48

16 - 16, 32, 48, 64, 80, 96....

12 - 12, 24, 36, 48, 60, 72.......

For friend A - $\frac{3\times3}{16\times3} =\frac{9}{48}$

For friend B - $\frac{2\times4}{12\times4} =\frac{8}{48}$

We found that in terms of 48 cups of water, friend A mixes 9 cups of acid while friend B mixes 8 cups of acid, means A is adding more acid than B and hence friend A's mixture is more acidic.

4 0

3 years ago

First tour is 4 child tickets and 8 adult tickets for 128 dollars second tour is 6 adult tickets for 72 dollars what is the pric

V125BC [204]

Answer:the price of one child ticket is $8

the price of one adult ticket is $12

Step-by-step explanation:

Let x represent the price of one child ticket.

Let y represent the price of one adult ticket.

First tour is 4 child tickets and 8 adult tickets for 128 dollars. This means that

4x + 8y = 128 - - - - - - - - - - 1

Second tour is 6 adult tickets for 72 dollars. This means that

6y = 72

y = 72/6 = $12

Substituting y = 12 into equation 1, it becomes

4x + 8 × 12= 128

4x + 96 = 128

4x = 128 - 96

4x = 32

x = 32/4 = $8

6 0

3 years ago

I will mark you brian list plz help.

IgorLugansk [536]

Answer:

N, P

Step-by-step explanation:

The answer is N, and P.

7 0

3 years ago

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