MATHEMATICS COLLEGE

These two trapeziums are similar.Calculate the area of trapezium G.
If your answer is a decimal, give it to 1 d.p.
These two trapeziums are similar. Calculate the area of trapezium - 1

Answers

Answer 1
Answer:

Check the picture below.

so let's firstly get the corresponding side of "a".

\textit{Area of a Trapezoid}\n\n A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\n a,b=\stackrel{parallel~sides}{bases~\hfill }\n[-0.5em] \hrulefill\n h=5\n b=16\n A=70 \end{cases} \implies 70=\cfrac{5(a+16)}{2} \n\n\n 140=5(a+16)\implies \cfrac{140}{5}=a+16\implies 28=a+16\implies 12=a \n\n[-0.35em] ~\dotfill

\cfrac{12^2}{30^2}~~ = ~~\cfrac{70}{A}\implies \left( \cfrac{12}{30} \right)^2 =\cfrac{70}{A}\implies \left( \cfrac{2}{5} \right)^2=\cfrac{70}{A}\implies \cfrac{4}{25}=\cfrac{70}{A} \n\n\n 4A=1750\implies A=\cfrac{1750}{4}\implies \boxed{A=437.5~cm^2}

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In the drawing, what is the measurment of angle y?

Answers

According to the vertical angle rule we know that x is 40 degrees. The sum of all angles in a triangle make 180, so the sum of x, 60, and the third angle is 180. x is 40 so the third angle is 180-60-40 which is 80 degrees.  y is an adjacent angle, which means that the sum of y and 80 degrees is 180. 180-80 is 100, so y is 100 degrees.

According to the Sydney Morning Herald, 40% of bicycles stolen in Holland are recovered. (In contrast, only 2% of bikes stolen in New York City are recovered.) Find the probability that, in a sample of 6 randomly selected cases of bicycles stolen in Holland, exactly 2 out of 6 bikes are recovered. Find the nearest answer.

Answers

Answer:

0.31104

Step-by-step explanation:

Given that according to the Sydney Morning Herald, 40% of bicycles stolen in Holland are recovered.

If X represents the number of bicyles stolen in Sydney, X is binomial

because each cycle to be stolen is independent of the other.

Also there are two outcomes

n = 6, p = 0.40

Required probability = the probability that, in a sample of 6 randomly selected cases of bicycles stolen in Holland, exactly 2 out of 6 bikes are recovered

==P(X=2)

=6C2 (0.4)^2 (0.6)^4\n= 15(0.16)(0.6)^4\n=0.31104

Answer:

Probability that exactly 2 out of 6 bikes are recovered is 0.31.

Step-by-step explanation:

We are given that according to the Sydney Morning Herald, 40% of bicycles stolen in Holland are recovered.

Also, there is a sample of 6 randomly selected cases of bicycles stolen in Holland.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^(r) (1-p)^(n-r) ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 6 cases of bicycles

            r = number of success = exactly 2

           p = probability of success which in our question is % of bicycles

                 stolen in Holland that are being recovered, i.e; 40%

LET X = Number of bikes recovered

So, it means X ~ Binom(n=6, p=0.40)

Now, Probability that exactly 2 out of 6 bikes are recovered is given by = P(X = 2)

   P(X = 2) = \binom{6}{2}0.40^(2) (1-0.40)^(6-2)

                 = 15 * 0.40^(2) * 0.60^(4)

                 = 0.31

Therefore, Probability that, in a sample of 6 randomly selected cases of bicycles stolen in Holland, exactly 2 out of 6 bikes are recovered is 0.31.

Mr. Floyd, the school librarian, is ordering new keyboards and mice for all of the school's computer labs. Each keyboard costs $13.50, and each mouse costs $6.50. There are 3 computer labs in the school, and each computer lab has s computer stations.Pick all the expressions that represent how much Mr. Floyd will spend on new keyboards and mice.

Answers

Answer:

13.50 + 6.50 x ( 3 x s) =

Step-by-step explanation:

I don't know what the options are, however that is how I would write it.

I’ll give out Brainly-ist to the correct one Use your calculator to estimate the value of
log740.

Click on the correct answer.
1.519
1.896
1.354

Answers

Answer:

  1.896

Step-by-step explanation:

You can answer this just using your number sense.

  \log_7{(40)}\approx 1.896

You know that 49 = 7², so log₇(49) = 2. The log function has a fairly small slope, so log₇(40) will not be far from 2.

_____

If you want to use your calculator, you can use the "change of base formula".

  log₇(49) = log(49)/log(7) ≈ 1.602060/0.845098 ≈ 1.896

Which relation is not a function?

Answers

It would be 3 beacuse w=3

Please help me I need it bow

Answers

Answer:

C

Step-by-step explanation:

I'm pretty sure it's none..?
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