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3 years ago

A vacuum cleaner costs £85

Mathematics

1 answer:

Vitek1552 [10]3 years ago

7 0

Answer: £76.50

Step-by-step explanation:

You find 10% of 85 = 8.5

then you do £85-£8.50 = 76.50

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Which number is prime? 21 22 23 24

Artemon [7]

Answer:

23 is the prime number

How?

▶

21 is divisible by 3

21 is divisible by 322 is divisible by 2

21 is divisible by 322 is divisible by 223 is not divisible by any no.

21 is divisible by 322 is divisible by 223 is not divisible by any no. 24 is divisible by 2

5 0

3 years ago

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It is estimated that 30% of households own a riding lawn mower. A sample of 17 households is studied. What is the standard devia

alina1380 [7]

Answer:

1.89 is the standard deviation of households who own a riding mower

Step-by-step explanation:

Let the random variable X denote the number of households owning a riding lawn mower. From the given information, X will be a Binomial random variable with parameters; n = 17 and p = 30% = 0.3

The standard deviation of X;

$\sqrt{n*p*(1-p)}$

$\sqrt{17*0.3*(1-0.3)} =1.89$

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3 years ago

How many sides does a regular polygon have if each exterior angle measures 30 degree

Nataly [62]

As the exterior angles always add up to 360, you can find the number of sides by dividing 360 by the measure of your exterior angle, 30. This gives you 360/30=12, meaning your polygon has 12 sides.

5 0

3 years ago

6. The perimeter of a parallelogram is 100 meters. The width of the parallelogram is 4 meters less than its length. Find the len

Ierofanga [76]

Answer:

x = 23, and y = 27.

Step-by-step explanation:

Lets say,

x = width

y = length

this means,

x(2) + y(2) = 100

It also says that the width is 4 meters less than the length.

if we put that into equation form it would look like this,

y - 4 = x

using these 2 equations, we can use the subustusion method to find the x.

x(2) + y(2) = 100

turns in to this :

step 1. (y - 4) (2) + y(2) = 100 - given

step 2. 2y -8 + 2y = 100 - distribute

step 3. 4y -8 = 100 - Combine like terms

step 4. 4y = 108 - Get rid of the 8

step 5 4y/4 = 108 /4 - divide

step 6 . y = 27

So if y is 27, then

x(2) + 27(2) = 100

x(2) + 54 = 100

100 - 54 = 46, so x(2) is 46, but to get x, we need to divide 46 by 2, since x multiplied by 2 equals 46.

46 / 2 = 23 = x

so x = 23, and y = 27.

and the rule that y - 4 = x still applies, since 27 - 4 = 23.

I hope this wasn't confusing! It did take a long time tho.

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3 years ago

What fraction of 20 is 18?

Vera_Pavlovna [14]

Remark

You have to read this carefully to know what way to write it.

One way you could write it would be

20 * x = 18 where x is the fraction. Now all you need do is divide.

Divide both sides by 20

20/20 * x = 18/20

$\text{x = } \dfrac{18}{20}$

But you should reduce this fraction. The way to do that is to factor 18 and 20 into primes.

18: 2 * 3 * 3

20: 2 * 2 *5

Cancel out the Highest common factor or 2.

You are left with

$\text{x = } \dfrac{18}{20} =\dfrac{2*3*3}{2*2*5}=\dfrac{3*3}{2*5} = \dfrac{9}{10}$ <<<< Answer

4 0

3 years ago

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