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3 years ago

14

at the audtions, 40 studens tried out for the school show choir, but only 12 will be chosen. How many different ways can the sho

w choir be formed

1 answer:

svet-max [94.6K]3 years ago

8 0

Answer:D

Step-by-step explanation:

It’s a permutation

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Please help.<br> geometry unit 7 lesson 6 for connections...

RUDIKE [14]

1] Square; Rectangle; Quadrilateral.

2] All rectangles are Quadrilaterals.

3] Arrange four equal length sides, so the diagonals are equal length also.

4] As per the Isosceles trapezoid.
Base angles are equal to each other and upper both angles are equal to each other too.
So,
20x+9 = 14x+15
20x-14x = 15-9
6x = 6
x = 1°

K = M = 29°

Sum of all angles of quadrilateral equal to 360°.

360-(29+29) = 360-58 = 302°

Sum of upper both equal angles is 302°.
One of them will be 302/2 = 151°

Answer will be 151°.

8 0

3 years ago

A certain school district has specified 5 different novels and 4 different non-fiction books from which teachers can choose to a

shutvik [7]

Answer:

There are 60 different summer reading lists possible.

Step-by-step explanation:

A certain school district has specified 5 different novels and 4 different non-fiction.

Each summer reading list must have exactly 3 novels and 2 non-fiction books.

So, the number of different summer reading lists that are possible is given by:

$5C3\times 4C2$

= $\frac{5!}{3!2!} \times\frac{4!}{2!2!}$

= $10\times6=60$

Hence, there are 60 different summer reading lists possible.

5 0

3 years ago

Simplify. What are the restrictions on the variable?

Natali5045456 [20]

A cannot equal to 4, because it would make the denominator equal to zero

5 0

3 years ago

During a rock concert, the noise level (in decibels) in front row seats has a mean of 95 dB with a standard deviation of 8 dB. W

lorasvet [3.4K]

Answer:

$\frac{8}{9} *100= 88.89 \%$

So we have at least 88.89% of the noise level values within 3 deviation from the mean.

Step-by-step explanation:

For this case let define the random variable X as the noise level, we know the following properties for X:

$E(X) = 95 , Sd(X)= 8$

And for this case we don't know the distribution for the random variable X.

But we can use the Chebysev theorem who states that the minimum percentage of the data that lies within k standard deviations from the mean is given by:

$1 -\frac{1}{k^2}, k>1$

So for this case we have that k = 3 and if we use this theorem we have:

$1- \frac{1}{3^2}$

$1- \frac{1}{9}=\frac{8}{9}$

And we can convert this into % and we got:

$\frac{8}{9} *100= 88.89 \%$

So we have at least 88.89% of the noise level values within 3 deviation from the mean.

5 0

4 years ago

A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 7 inches, a width of 3 inches, and a h

creativ13 [48]

Answer:

The surface area of the prism is equal to 72 sq inches.

Step-by-step explanation:

Given that,

A rectangular prism with a length of 7 inches, a width of 3 inches, and a height of 1 1/2 inches.

The surface area of a rectangular prism is given by :

$A=2(lb+bh+hl)$

Put all the values,

$A=2(7\times 3+3\times \dfrac{3}{2}+\dfrac{3}{2}\times 7)\\\\A=2\times 36\\\\A=72\ in^2$

So, the surface area of the prism is equal to 72 sq inches.

5 0

3 years ago