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zloy xaker [14]
3 years ago
15

8. Number of boys in a class is twice the number of girls. 20% of the girls are brunettes and of the rest – half are blondes: Ma

ry, Clara, Gina and Trisha. How many boys study in this class?
Mathematics
1 answer:
slega [8]3 years ago
8 0

Answer:

<em>20 boys </em>

Step-by-step explanation:

b = 2g

100% - 20% = 80%

80% ÷ 2 = 40% = 0.4

0.4g = 4 ⇒ g = 4 ÷ 0.4 = 10

b = 2 × 10 = 20

There are 10girls and <em>20 boys</em> study in the class.

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lorasvet [3.4K]
For the triangle use 14 for the height and 9 for the base. use the formula 1/2bh and multiple it by two.
for the circle do 3.14 times 9 squared and divided it by two. formula 3.14r^2.
the answer should be 317.34
hope this helps.
7 0
3 years ago
a company charges a shipping fee that is 4.5% of the purchase price for all items at ships.what is the fee to ship an item that
Pavlova-9 [17]

Answer:

The answer is $2.52.

Step-by-step explanation:

56 x .045= $2.52

6 0
3 years ago
a) work out the value of 4^3-5^2 b) work out the value of 6^2+3^3​
Dmitriy789 [7]

The answer of the given questions

a) 39 and b) 63

Step-by-step explanation:

Here are the solutions of given questions

a) 4^{3} -5^{2}

=64-25

=39

b) 6^{2} +3^{3}

= 36+27

= 63

5 0
3 years ago
Read 2 more answers
A population of values has a normal distribution with μ = 155.4 and σ = 49.5 . You intend to draw a random sample of size n = 24
xz_007 [3.2K]

Answer:

(a) The probability that a single randomly selected value lies between 158.6 and 159.2 is 0.004.

(b) The probability that a sample mean is between 158.6 and 159.2 is 0.0411.

Step-by-step explanation:

Let the random variable <em>X</em> follow a Normal distribution with parameters <em>μ</em> = 155.4 and <em>σ</em> = 49.5.

(a)

Compute the probability that a single randomly selected value lies between 158.6 and 159.2 as follows:

P(158.6 < X

*Use a standard normal table.

Thus, the probability that a single randomly selected value lies between 158.6 and 159.2 is 0.004.

(b)

A sample of <em>n</em> = 246 is selected.

Compute the probability that a sample mean is between 158.6 and 159.2 as follows:

P(158.6 < \bar X

*Use a standard normal table.

Thus, the probability that a sample mean is between 158.6 and 159.2 is 0.0411.

4 0
3 years ago
Read 2 more answers
Write the equatoin of a graph that has Roots of x={-2,0,4} and has a point of (-1,10)
zheka24 [161]

Step-by-step explanation:

to have "roots" means that the function delivers 0 as function result for these values of x.

so,

f(x) = 0 for x = -2, x = 0 and x = 4

we can build this function as a product of factors.

each factor is an expression of x that turns 0 for the given value of x.

what is the simplest expression of x that turns 0, when x = -2 ?

well : x + 2

as you can easily see, this is 0, when x = -2.

and the easiest existing of x that is 0, when x = 0 ?

totally simple : just x.

and then x - 4 for x = 4

so, our function is

f(x) = x(x + 2)(x - 4)

but : this is one of infinite possibilities.

let's see what happens, if we use the x coordinate (-1) of the given point (-1, 10).

we know, the result must be 10.

-1×(-1 + 2)(-1 - 4) = -1×1×-5 = 5

aha ! so, in order to get 10 instead of just 5 we must multiply the whole thing by 2.

as n×0 is always still 0, this does not change our 0 points (or roots).

so, our full function is :

f(x) = 2x(x + 2)(x - 4)

or, if you need the function as a polynomial, we need to do the multiplications :

f(x) = 2x(x² - 4x + 2x - 8) = 2x(x² - 2x - 8) = 2x³ - 4x² - 16x

3 0
2 years ago
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