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2 years ago

What is the range of the relation shown on this graph? (Help I’m really confused)

Mathematics

1 answer:

kramer2 years ago

5 0

Answer:

(-6,-2,0,4,5)

Step-by-step explanation:

the y of the order pairs of the relation

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The coefficients corresponding to k = 0, 1, 2, ..., 5 in the expansion of (x + y) 5

yuradex [85]

Answer:

Step-by-step explanation:

1,5,10,10,5,1 - so your answer would be A

6 0

3 years ago

Describe this translation.

Jet001 [13]

Answer:

D(4 units right, 2 up)

Step-by-step explanation:

You must pick a point which does not have an apostrophe. Then you see how which direction is goes (e.g left or right) and then you see the height (up and down) and combining all this the answer would be 4 units right, 2 up

3 0

3 years ago

Factorise fully 6x^2 + 12x

sweet-ann [11.9K]

Answer:

6x(x+2)

Step-by-step explanation:

Factor 6x out of 6x^2+12x

6x(x+2)

3 0

2 years ago

According to a survey, 65% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed

monitta

Answer:

a) $P(X=41)=(50C41)(0.65)^{41} (1-0.65)^{50-41}=0.00421$

b) $P(X=36)=(50C36)(0.65)^{36} (1-0.65)^{50-36}=0.0714$

$P(X=37)=(50C37)(0.65)^{37} (1-0.65)^{50-37}=0.0502$

$P(X=38)=(50C38)(0.65)^{38} (1-0.65)^{50-38}=0.0319$

And adding these values we got:

$P(36 \leq X \leq 38)= 0.1535$

c) We can find the expected value given by:

$E(X) = np =50*0.65 = 32.5$

And the standard deviation would be:

$\sigma = \sqrt{np(1-p)} \sqrt{50*0.65*(1-0.65)}= 3.373$

We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:

$\mu -2\sigma = 32.5- 2*3.373 = 25.75$

And then we can consider a value of 18 as unusual lower for this case.

Step-by-step explanation:

Let X the random variable of interest "number cleared by arrest or exceptional", on this case we can model this variable with this distribution:

$X \sim Binom(n=50, p=0.65)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Part a

We want this probability:

$P(X=41)=(50C41)(0.65)^{41} (1-0.65)^{50-41}=0.00421$

Part b

We want this probability:

$P(36 \leq X \leq 38)$

We can find the individual probabilities:

$P(X=36)=(50C36)(0.65)^{36} (1-0.65)^{50-36}=0.0714$

$P(X=37)=(50C37)(0.65)^{37} (1-0.65)^{50-37}=0.0502$

$P(X=38)=(50C38)(0.65)^{38} (1-0.65)^{50-38}=0.0319$

And adding these values we got:

$P(36 \leq X \leq 38)= 0.1535$

Part c

We can find the expected value given by:

$E(X) = np =50*0.65 = 32.5$

And the standard deviation would be:

$\sigma = \sqrt{np(1-p)} \sqrt{50*0.65*(1-0.65)}= 3.373$

We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:

$\mu -2\sigma = 32.5- 2*3.373 = 25.75$

And then we can consider a value of 18 as unusual lower for this case.

6 0

3 years ago

An estimated 3 out of every 25men are left-handed

arsen [322]

Answer:

$\frac{3}{25}$ 12% of the men are left handed.

Step-by-step explanation:

We have,

An estimated 3 out of every 25 men are left handed.

$\frac{3}{25}$ × 100

= 3 × 4

= 12 %

5 0

3 years ago