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1 year ago

I need help with my math

Mathematics

1 answer:

REY [17]1 year ago

7 0

EXPLANATION

Applying the sum of interior angles theorem give us the following relationship:

60 + 3x + (x+20) = 180

Removing the parentheses:

60 + 3x + x + 20 = 180

Adding like terms:

80 + 4x = 180

Subtracting -80 to both sides:

4x = 180 - 80

Subtracting numbers:

4x = 100

Dividing both sides by 4:

x = 100/4

Simplifying:

x = 25

Then, the missing angles are:

25 + 20 = 45 degrees

3*25 = 75 degrees

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Step-by-step explanation:

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3 years ago

What is 4 x312 but in distributive property

eduard

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Hope this helps, sorry if it didn't.

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3 years ago

It says to find the value of x.

bija089 [108]

Answer:

x = 23

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

the third angle forms a straight angle with 100°, hence

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2x + 3 + 80 + 51 = 180

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3 years ago

A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 12 insects is exposed to the insecticide i

Vilka [71]

Answer:

The probability that exactly 10 insects will die

P( X = 10 ) = 0.06385

Step-by-step explanation:

Step(i):-

Given a certain insecticide kills 60% of all insects in laboratory experiments

Given proportion p = 0.60

q = 1 - 0.60 = 0.40

Given sample size 'n' = 12

Step(ii):-

Let "X' be the random variable of binomial distribution

$P(X=r) = n_{C_{r} } p^{r} q^{n-r}$

The probability that exactly 10 insects will die

$P(X=10) = 12_{C_{10} } (0.60)^{10} (0.40)^{12-10}$

$n_{C_{r} } = \frac{n!}{(n-r)!r!} = \frac{12!}{(12-10)!10!} = 66$

$P(X=10) = 66 X (0.60)^{10} (0.40)^{2} = 0.06385$

Final answer:-

The probability that exactly 10 insects will die

P( X = 10 ) = 0.06385

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3 years ago

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Step-by-step explanation:

–3x + 6 < 15

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–3x + 6-6 < 15-6

-3x < 9

Divide each side by -3, remembering to flip the inequality

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x > -3

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3 years ago