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madreJ [45]
2 years ago
14

If BD is congruent to BC, BD = 5x - 26, BC = 2x + 1, and AC = 43, find AB

Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
6 0

I believe the answer is AB = 24.

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Please help me! Given (x+a)(x+b) = x^2+x-12, what is the value of a^2+b^2
Sonja [21]
(x + 4) (x - 3)
a = 4
b = -3

a^2 + b^2 = ...
= 4^2 + (-3)^2
= 16 + 9
= 25
4 0
3 years ago
At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective pa
11Alexandr11 [23.1K]

Answer:

Probability that fewer than 2 of these parts are defective is 0.604.

Step-by-step explanation:

We are given that at a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 19% of the time.

A random sample of 7 parts produced by this machine is chosen.

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 = 7 parts

            r = number of success = fewer than 2

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

                 parts produced by one of the machine, i.e; 19%

<em>LET X = Number of parts that are defective</em>

<u>So, it means X ~ Binom(n = 7, p = 0.19)</u>

Now, probability that fewer than 2 of these parts are defective is given by = P(X < 2)

    P(X < 2) = P(X = 0) + P(X = 1)

                  =  \binom{7}{0}\times 0.19^{0} \times (1-0.19)^{7-0}+ \binom{7}{1}\times 0.19^{1} \times (1-0.19)^{7-1}

                  =  1 \times 1 \times 0.81^{7} +7 \times 01.9^{1} \times 0.81^{6}

                  =  <u>0.604</u>

<em>Therefore, the probability that fewer than 2 of these parts are defective is 0.604.</em>

8 0
3 years ago
Find MZP. The diagram is not to scale.
Ad libitum [116K]

Answer:

p= 50

Step-by-step explanation:

the angle that measures 130 is supplementary to the angle below, meaning the other angle must equal 50 degrees. This angle is an alternate interior angle with angle p, making them congruent.

3 0
3 years ago
1. Which of the following does NOT represent a whole number? 9 6.0 12/4 -12/3​
Ivahew [28]

the answer is -12/3 cause it's negative

5 0
3 years ago
Interior and Exterior Triangle Angles
Luden [163]

Sum of two interiors=exterior

\\ \rm\bull\rightarrowtail 2x-3+2x+15=7x-18

\\ \rm\bull\rightarrowtail 4x+12=7x-18

\\ \rm\bull\rightarrowtail 3x=30

\\ \rm\bull\rightarrowtail x=10

  • m<GHI=2(10)-3=17
6 0
2 years ago
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