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3 years ago

Lines DE and AB intersect at point C.

Mathematics

1 answer:

alexandr402 [8]3 years ago

3 0

Answer:

Step-by-step explanation:

2x+2+5x+3=180 (angles on a straight line)

7x+5=180

7x=180-5

7x=175

x=25 (dividing both sides by 7)

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Find the slope of the line containing the points (1, 4) and (3, 7).

irina1246 [14]

Answer: 3/2

Step-by-step explanation:

the formula to find slope is:

m = rise/run = $\frac{y2-y1}{x2-x1}$

In this case:

m = 3/2 = $\frac{7-4}{3-1}$

6 0

2 years ago

What is a formula for the nth term of the given sequence? 20,23, 26...

lord [1]

Answer:

17 + 3n

Step-by-step explanation:

20, 23,26 ..............

This is an arithmetic series

First term = a = 20

Common difference = second term - first term

d = 23 - 20 = 3

nth terms = a + (n-1)*d

= 20 + (n -1) *3

= 20 + n*3 - 1*3

= 20 + 3n - 3

= 20 - 3 + 3n

= 17 + 3n

6 0

3 years ago

Heyy pls help! worth 20 points, and please only help if you know the answer. also no links those r kinda annoying lol

iragen [17]

Step 1: Find the slope:

$m= \dfrac{y_2-y_1}{x_2-x_1}= \dfrac{-2-7}{4-(-2)} = \dfrac{-9}{6}= -\dfrac{3}{2}$

This gives you $y=-\dfrac{3}{2}x+b$ , but we need to find b.

To find b, substitute in one (x,y) pair and it doesn't matter which one. I'll go with (4,-2):

$\begin{aligned}-2&=-\dfrac{3}{2}(4)+b\\[0.5em]-2&=-6+b\\[0.5em]4&=b\end{aligned}$

Now take that b-value and plug in into the slope-intercept form:

$y=-\dfrac{3}{2}x+4$

It's always a good idea to toss in the other x-value from the other point, to make sure it checks out.

7 0

3 years ago

nventing is a difficult way to make money. Only 5% of new patents earn a substantial profit. A certain city has just had30 indep

Arlecino [84]

Answer:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=30, p=0.05)$