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strojnjashka [21]

3 years ago

15

There are 144 children performing in 3 school bands each band has the same number of children how many children are performing i

n each school brand

2 answers:

Verdich [7]3 years ago

8 0

The answer is 48, because 144 students divided by 3 school bands is 48.

Readme [11.4K]3 years ago

3 0

Answer:

48 children performing.

Step-by-step explanation:

Well all you do is divide 144 by 3 and you will get the answer of 48.

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Lapatulllka [165]

All triangles in this shape have same area as they have same base length and height length.

area of triangle: 1/2 * base * height

Here the base is 4.2 cm and height is 2.5 cm for all the given triangles.

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3 years ago

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LenKa [72]

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3 years ago

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Help ASAP please! Problem is on pictures below.

Elis [28]

Answer: figures C and D.

Explanation:

The question is which two figures have the same volume. Hence, you have to calculate the volumes of each figure until you find the two with the same volume.

1) Figure A. It is a slant cone.

Dimensions:

slant height, l = 6 cm
height, h: 5 cm
base area, b: 20 cm²

The volume of a slant cone is the same as the volume of a regular cone if the height and radius of both cones are the same.

Formula: V = (1/3)(base area)(height) = (1/3)b·h

Calculations:

V = (1/3)×20cm²×5cm = 100/3 cm³

2. Figure B. It is a right cylinder

Dimensions:

base area, b: 20 cm²
height, h: 6 cm

Formula: V = (base area)(height) = b·h

Calculations:

V = 20 cm²· 6cm = 120 cm³

3. Figure C. It is a slant cylinder.

Dimensions:

base area, b: 20 cm²
slant height, l: 6 cm
height, h: 5 cm

The volume of a slant cylinder is the same as the volume of a regular cylinder if the height and radius of both cylinders are the same.

Formula: V = (base area)(height) = b·h

Calculations:

V = 20cm² · 5cm = 100 cm³

4. Fiigure D. It is a rectangular pyramid.

Dimensions:

length, l: 6cm
base area, b: 20 cm²
height, h: 5 cm

Formula: V = (base area) (height) = b·h

Calculations:

V = 20 cm² · 5 cm = 100 cm³

→ Now, you have found the two figures with the same volume: figure C and figure D. ←

7 0

4 years ago

Help me please. <br>20+(-16)4

Sphinxa [80]

P.E.M.D.A.S
First , you multiply.

200+(-16)4
200+(-64)

Since they have different signs, you subtract and keep the sign of the greater absolute value.

200+(-64)=136

8 0

3 years ago

Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below cer

aleksley [76]

Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.

This means that $p = 0.7$

Five residential subscribers are randomly selected from San Juan, Puerto Rico

This means that $n = 5$

a. All five qualify for the favorable rate

This is P(X = 5). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681$

0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. At least four qualify for the favorable rates

This is

$P(X \geq 4) = P(X = 4) + P(X = 5)$

So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602$

$P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681$

$P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283$

0.5283 = 52.83% probability that at least four qualify for the favorable rates

5 0

3 years ago