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3 years ago

47 / 101 Marks

Mathematics

1 answer:

Citrus2011 [14]3 years ago

7 0

Answer:

Step-by-step explanation:

I’m assuming that A has a side of 15 cm and has a volume of 400 cm.

Using our volume formula:

(15/10)^3 = (400/x)

(3/2)^3 = 400/x <— simplify

27/8 = 400/x

27x = 3200

so the volume of B is 3200/27 or about 118.52cm^3

(if I assumed the wrong side lengths please tell me!)

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Triangle and triangle are similar. What is the measure of side ?

NARA [144]

Answer:Parts of two triangles can be proportional; if two triangles are known to be similar then the perimeters are proportional to the measures of corresponding sides. Continuing, if two triangles are known to be similar then the measures of the corresponding altitudes are proportional to the corresponding sides.

Step-by-step explanation:Parts of two triangles can be proportional; if two triangles are known to be similar then the perimeters are proportional to the measures of corresponding sides. Continuing, if two triangles are known to be similar then the measures of the corresponding altitudes are proportional to the corresponding sides.

8 0

3 years ago

On the planet of Mercury, 4-year-olds average 3 hours a day unsupervised. Most of the unsupervised children live in rural areas,

erastova [34]

Answer:

The distribution of X is normal

$P(X < 1.4) = 0.12654$

$P(X > 3.5) = 0.36051$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 3 \ hours$

The standard deviation is $\sigma = 1.4 \ hours$

Generally given from the question that the amount of time spent alone by the population size is normally distributed then then the distribution of X (i.e the amount of time spent by the sample size (the one Mercurian)) will be normally distributed

Generally the probability that the child spend less than one hour in a day is mathematically represented as

$P(X < 1.4) = P(\frac{X - \mu}{\sigma} < \frac{1.4 - \mu}{\sigma} )$

Here $\frac{X - \mu}{\sigma } = Z (The\ standardized\ value\ of\ X)$

$P(X < 1.4) = P(Z < \frac{1.4 - 3.0}{1.4} )$

$P(X < 1.4) = P(Z < -1.1429 )$

From the z-table the value of

$P(Z < -1.1429 )=0.12654$

So $P(X < 1.4) = 0.12654$

Generally the percentage of children that spends over 3.5 hours unsupervised is mathematically represented as

$P(X > 3.5) = P(\frac{X - \mu}{\sigma} > \frac{3.5 - \mu}{\sigma} )$

$P(X > 3.5) = P(Z > \frac{3.5 - 3.0}{1.4} )$

$P(X > 3.5) = P(Z > 0.3571 )$

From the z-table the value of

$P(Z >0.3571 )=0.36051$

So $P(X > 3.5) = 0.36051$

5 0

3 years ago

How do you do -19+C/3=8 can someone teach how to solve this problem?

ki77a [65]

You're looking for c, so you want to isolate it or get it by itself. To get rid of the /3 you multiply since the opposite of division is multiplication and to get rid of it, you do the opposite (like -9 you would add 9 to get it to 0). Now you are left with -19+c = 24 (the 24 is 8*3 because what you do to one side you do to the other. Now you get c by itself so you add 19 to both sides which leaves you with C= 43. Sorry if this was confusing!

3 0

4 years ago

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:

brainly.com/question/3783619

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3 years ago

How can you you round 59.80% to the Nearest percent

GREYUIT [131]

If you are rounding it to the nearest tenth then it would be 60% because the unit is above 5.

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4 years ago

Read 2 more answers