A triangle has side lengths of 16in, 21in, and 35in. Classify it as acute, obtuse, or right.

Question 1: Whose percentage increased more from 1984 to 2014, males or females? By how much more did it increase?

garik1379 [7]

The percentage increase are applied to the number of male and female

from the previous period.

From 1984 to 2014, the percentage of females increased more than males.

Reasons:

Let F represent the initial number of females and let M represent the initial number of males before 1984.

We have;

In 1984

Number of females = F × 1.026 = 1.026·F

number of males = M × 1.031 = 1.031·M

In 1994

Number of females = 1.026·F × 1.032 = 1.058832·F

Number of males = 1.031·M × 1.032 = 1.063992·M

In 2004

Number of females = 1.058832·F × 1.056 = 1.118126592·F

Number of males = 1.063992·M × 1.049 = 1.116127608·M

In 2014

Number of females = 1.118126592·F × 1.066 = 1.191922947072·F

Number of males = 1.116127608·M × 1.059 = 1.181979136872·M

Therefore, between 1984 and 2014, we have;

The percentage increase of females = 1.191922947072 × 100 - 100 ≈ 19.2%

The percentage increase of males = 1.181979136872 × 100 - 100 ≈ 18.2%

Therefore;

The percentage increase of the females is more than the males by (1.191922947072 × 100 - 100) - (1.181979136872 × 100 - 100) ≈ 0.994%

Learn more about percentages and compounded percentages here:

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8 0

3 years ago

Last question of the section

klasskru [66]

Answer:

SA of black base: 84 cm^2

SA of blue faces: 84 cm^2

SA of gold faces: 60.2 cm^2

SA of 1 ornament: 228.2 cm^2

SA of 100 ornaments: 22,820 cm^2

Step-by-step explanation:

SA of black base:

A = lw

A = 7(12)

A = 84 cm^2

SA of blue faces:

A = bh

(don't divide by 2 since there are 2 triangles)

A = 12(7)

A = 84 cm^2

SA of gold faces:

A = 7(8.6)

(don't divide by 2 since there are 2 triangles)

A = 60.2 cm^2

SA of 1 ornament:

Add #s in bold:

84 + 84 + 60.2 = 228.2 cm^2

SA of 100 ornaments:

Multiply SA of 1 ornament by 100:

228.2(100) = 22,820 cm^2

7 0

3 years ago

At dee dee's dinette the probability that a customer orders coffee is 0.60, the probability that a customer orders pie is 0.35,

Ulleksa [173]

For better understanding think of it this way. There are hundred customers, 60 orders coffee 35 orders pie and 30 does not order pie or coffee.
This means that 70 does order coffee or pie or both. Out of those 70 people 10 will not order coffee and 35 will not order pie. Thus 70-10-35=25 will order both coffee and pie.
P=0.25

3 0

3 years ago

Witch number produces a rational number when multiplied by 0.25

Oxana [17]

Is there like a question on paper with choices? It’s kind of confusing when you need to multiply yourself, and it seems like there would be a A, B, C, D on this.

6 0

3 years ago

An alarm system requires a 7-digit code using the digits 0 through 9. Each digit may only be used once in the code. How many dif

maks197457 [2]

10M different codes are possible.

Probability Definition in Math-

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.
Four perspectives on probability are commonly used: Classical, Empirical, Subjective, and Axiomatic.
For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .

It’s simple. there are 7 digits, so that would mean you start with 0,000,000 and end with 9,999,999.
If the highest digit is 9,999,999 and you add a 1 more to it, you have a total of 10M combinations.

Learn more about probability

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8 0

2 years ago