Ask question

Ask question

All categories

soldier1979 [14.2K]

3 years ago

14

Mr mistry has 3 grandchildren. He gives Nimisha £m. He gives Sunhil £80 less than Nimisha. He gives Akshay twice as much as Sunh

il.

2 answers:

slamgirl [31]3 years ago

7 0

Here are the variables.

M= nimisha money

S= Sunhil money

A= Akshay money

The expression is S= M-80
A= S*2
M=S+80

Hope this helped

Luba_88 [7]3 years ago

4 0

Nimisha gets m
sunhil gets 80 less then nimisha....so she gets m - 80
Akshay gets twice as much as Sunhil....so she gets 2(m - 80) = 2m - 160

so the total amount of money given is : m + m - 80 + 2m - 160 =
4m - 240 <==

You might be interested in

Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the z-score for each of the five observations. If required

Mila [183]

Answer:

$\begin{tabular}{c|ccccc}{$x$&10&12&16&17&20&z&-1.397&-0.839&0.2795&0.559&1.397&\end{tabular}$

Step-by-step explanation:

z-score is denoted by:

$z=\dfrac{x-\mu}{\sigma}$

here,

$\mu$ : mean

$\sigma$ : standard deviation (or the square root of the variance)

so first we need to find the means of our sample:

$\mu=\dfrac{10+20+12+17+16}{5}\\\mu = 15\\$

Now to find the standard deviation we first need to find the variance of the sample. The variance is the sum of the squares of the differences of each value from the mean.

$\sigma^2 = \dfrac{(10-15)^2+(20-15)^2+(12-15)^2+(17-15)^2+(16-15)^2}{5}\\\sigma^2 = 12.8$

the standard derviation is simply the square root of the variance!

$\sigma = \sqrt{\sigma^2} \\\sigma = \sqrt{12.8} \\\sigma = 3.5778$

Now that we all the values for our z-score formula. we can plug it in!

$z=\dfrac{x-\mu}{\sigma}$

$z=\dfrac{x-15}{3.5778}$

Finally we'll use each value in place of x from our sample into the formula to find the z-score of each value.

$z=\dfrac{10-15}{3.5778} = -1.397$

$z=\dfrac{20-15}{3.5778} = 1.397$

$z=\dfrac{12-15}{3.5778} = -0.839$

$z=\dfrac{17-15}{3.5778} = 0.559$

$z=\dfrac{16-15}{3.5778} = 0.2795$

We can even display the z-scores in a table: (the x-values are in ascending order)

$\begin{tabular}{c|ccccc}{$x$&10&12&16&17&20&z&-1.397&-0.839&0.2795&0.559&1.397&\end{tabular}$

5 0

4 years ago

Evaluate a−3.45+b for:<br> a=2.88 and b=6.02

Kryger [21]

Answer:

a−3.45+b = 5.45

Step-by-step explanation:

We replace a=2.88 and b=6.02 into a−3.45+b

So we have a−3.45+b = 2.88 - 3.45 +6. 02 = (2.88+6.02) - 3.45=

= 8.90-3.45 = 5.45

The answer is a−3.45+b = 5.45

Have a good day.

5 0

3 years ago

3 numbers that are not integers

erastovalidia [21]

Answer:

1/2 , 2.5 ,

Pi = (3.14159265359)

Step-by-step explanation:

These numbers are not integers

4 0

4 years ago

32km/s for 30 minutes

Darina [25.2K]

Answer:

56700

Step-by-step explanation:

So convert 30 minutes into seconds.

30 * 60 = 1800

32 * 1800 = 56700

3 0

3 years ago

From 1990 to 2000, the population of Florida increased by 2.13% per year. The population (in millions) in the year 1990 was 16 E

belka [17]

Answer:

19 million

Step-by-step explanation:

So generally whenever we express a exponential function, it's in the form: $y=a(b)^x$

where a=initial value aka when x=0

in this case, b can be expressed as: $1+r$ , where r is the growth rate, which in this case is 2.13%, and expressing that as a decimal (divide by 100), r=0.0213, thus b=1.0213

This gives us the following equation: $y=16(1.0213)^x$

To kind of give you a intuitive reason as to why this makes sense, think of that 1.0213 wrapping around the previous value.

So when x=0, it's actually just 16, since any number (besides 0) to the power of 0, equals 1.

When x=1, we get: $1.0213(16)$ , which can be expressed as a 2.13% increase from year 0

When x=2, we get: $1.0213(1.0213(16))$ , which can be expressed as a 2.13% increase from year 1

when x=3, we get: $1.0213(1.0213(1.0213(16)))$ , which can be expressed as a 2.13% increase from year 2.

In other words, each year we're getting another 1.0213 to multiply by (very definition of an exponent).

So to calculate the population in 1997, we put in x=7, since it's 7 years after 1990

We get the following equation: $y=16(1.0213)^7$

Using a calculator this simplifies to approximately: $18.5436$

Rounding this to the nearest integer would yield 19, and since the values are expressed in millions, the answer would be 19 million

4 0

2 years ago