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2 years ago

I NEED HELP ASAP FIND THE MEASURE OF MISSING ANGLE

Mathematics

1 answer:

Alex777 [14]2 years ago

4 0

Answer:

Step-by-step explanation:

a right triangle is = to 180 so you need all angles to add to 180 so you take 180 minus it by 90 and 40 you are left with 50 degrees

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Tanya runs a catering business. Based on her records, her weekly profit can be approximated by the function LaTeX: f\left(x\righ

Shtirlitz [24]

The function

$2x^2-44x-150$

is a parabola concave up, whose solutions are

$2x^2-44x-150=0 \iff x^2-22x-75=0$

from here, you can use the quadratic formula

$x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

to find that the solutions of the parabola are $-3,\ 25$

So, the parabola is positive if $x$ (which wouldn't make sense in our case) or $x$

So, if Tanya caters 25 meals she breaks even, and starting with the 26th meal she will begin to profit.

4 0

3 years ago

Simplify expression x^2 - xy + 2x/ 2x, step by step please.

Papessa [141]

Answer:

x^2 - xy + 1

Step-by-step explanation:

x^2 - xy + 2x/2x

2x/2x = 1

x^2 - xy + 1

This is the furthest we can simplify this expression with the given information.

4 0

3 years ago

The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen

vfiekz [6]

Answer:

a) 0.2581

b) 0.4148

c) 17

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

In this problem we have that:

$p = 0.75$

a. If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X = 9)$ when $n = 12$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{12,9}.(0.75)^{9}.(0.25)^{3} = 0.2581$

b. If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X \geq 16)$ when $n = 20$