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3 years ago

8

In a group of 27 pupils, 7 play the flute only.

1 answer:

expeople1 [14]3 years ago

4 0

Answer:

5/27

Step-by-step explanation:

I wrote it as a fraction, but the explanation is, if you're finding out how many who don't play instruments, you first need to find out who many do play instruments, so you add the numbers together.

10+5+7 = 22

So the probability that you'll pick one who does play an instrument would be 22/27 (because 22 out of the 27 pupils play an instrument.) But remember that's not what it's asking us for.

You have to subtract 27 - 22 to get the pupils who don't play instruments, you get 5, so the probability is 5/27 (5 pupils out of 27 don't play instruments.)

To put this in a percent, just divide the top number by the bottom number and move the decimal 2 places over, you get 18.5% or 19% both answers are correct depending on rounding.

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In the figure shown the value of a is equal to

Vikentia [17]

Answer:

a = 7.2

Step-by-step explanation:

The figure has been re-labelled and attached to this response.

From the figure, the larger right triangle DAB and the small right triangle BCA are similar. This is because;

i. They have two corresponding congruent angles which are<em> the right angle</em>

and <em>angle B</em>

Therefore, we can say that;

$\frac{|DB|}{|BA|} = \frac{|AB|}{|BC|}$

$\frac{13}{a} = \frac{a}{4}$

<em>Cross multiply</em>

a x a = 13 x 4

a² = 52

a = √52

a = 7.2

Note: The figure showing the similar triangles has also been attached to this response.

6 0

3 years ago

Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system. [Start 2 By 3 Matrix 1s

Leni [432]

Answer: h = 9

Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.

The matrix given is:

$\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]$

Transform this matrix in a row-echelon form:

$\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]$ $R_{2} = 3R_{2}+R_{1}$ $\left[\begin{array}{ccc}-15&21&h\\0&0&-9+h\end{array}\right]$

For this row-echelon form to have solutions:

-9 + h = 0

h = 9

For this system to be consistent: h = 9.

3 0

3 years ago

A retailer sells a refrigerator for a list price of $1,200. The retailers cost was $850. What is the percentage of the markup?

matrenka [14]

Answer:

41%

Step-by-step explanation:

1200-850=350

350 is the markup, now we need the percentage

the orginal price was 850 so we just need to divide 350 by 850

we get 0.4117...

convert that to a percentage and we have 41% markup

8 0

3 years ago

Select all of the choices that are equal to (-5) – (-12).

krek1111 [17]

The answer is 7 i’m pretty sure

4 0

3 years ago

Read 2 more answers

A container fruits contains 12 3/4 lb of oranges m,8 1/4 lb of bananas and 7 lb of apples what is the total weight in pounds of

notka56 [123]

You just add all of the weight of the contents together. 12 3/4+ 8 1/4 +7, which equals 28 pounds.

3 0

3 years ago