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2 years ago

Sorry about the background noise

Mathematics

1 answer:

cricket20 [7]2 years ago

4 0

Answer:

yeah how could background music be math ?? Cam is right ..

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Find the complement and the supplement of the given angle.<br> 23°

e-lub [12.9K]

Answer:

Complement: 67°

Supplement: 157°

Step-by-step explanation:

Complementary angles = 90°

90-23=67°

Supplementary angles = 180°

180-23=157°

7 0

3 years ago

The Stomping Elephants volleyball team plays 30 matches in a week-long tournament. On average, they win 4 out of every 6 matches

8_murik_8 [283]

Answer:

The mean for the number of matches that they win in the tournament is 20.

Step-by-step explanation:

For each match, there are only two possible outcomes. Either they win, or they do not. The probability of winning a match is independent from other matches. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The Stomping Elephants volleyball team plays 30 matches in a week-long tournament.

This means that $n = 30$

On average, they win 4 out of every 6 matches.

This means that $p = \frac{4}{6} = \frac{2}{3}$

What is the mean for the number of matches that they win in the tournament?

$E(X) = np = 30\frac{2}{3} = 20$

The mean for the number of matches that they win in the tournament is 20.

8 0

2 years ago

You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 500cm3. Determ

babymother [125]

Answer:

x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.

Step-by-step explanation:

V= x^2y = 500

Surface area A = x^2 + 4xy.

From the first equation y = 500/x^2

So substituting for y in the equation for the surface area:

A = x^2 + 4x * 500/x^2

A = x^2 + 2000/x

Finding the derivative:

dA/dx = 2x - 2000x^-2

dA/dx = 2x - 2000/x^2

This = 0 for a minimum/maximum value of A, so

2x - 2000/x^2 = 0

2x^3 - 2000 = 0

x^3 = 2000/ 2 = 1000

x = 10

Second derivative is 2 + 4000/x^3

when x = 10 this is positive so x = 10 gives a minimum value of A.

So y = 500/x^2

= 500/100

= 5.

6 0

3 years ago

Help! Will mark the brainiest !!

Morgarella [4.7K]

Answer:

31.98% rounded to the nearest tenth is 32 percent. The 8 rounds up and 9 goes to zero.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

How do I solve 3/4n+2/3=11/6

Leni [432]

Answer:

n=14/9

Step-by-step explanation:

3/4n+2/3=11/6

3/4n=11/6-2/3

3/4n=11/6-4/6

3/4n=7/6

n=(7/6)/(3/4)

n=(7/6)(4/3)

n=28/18

simplify

n=14/9

4 0

3 years ago