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Hitman42 [59]
3 years ago
7

I need this before the 24th! 100 points!

Mathematics
1 answer:
Anestetic [448]3 years ago
6 0

Answer:

The interval is [4,7]

Step-by-step explanation:

The rate of change is given by

f(x2) - f(x1)

-------------------

x2 -x1

We want the rate of change to be 56

f(x2) - f(x1)

-------------------  = 56

x2 -x1

We also know that the x2 is 7  so f(x2) = 192

192 - f(x1)

-------------------  = 56

7 -x1

192 - f(x1) = 56( 7 -x1)

192 - f(x1) = 392 -56x1

Now we need to pick points from the table and see where it is true

(6,96)

192 - 96 = 392 -56*6

96=56  False

( 5,28)

192 - 28 = 392 -56*5

164=112  False

(4,24)

192 - 24 = 392 -56*4

168=168  True

The interval is [4,7]

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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
What is the area of △ABC?
kirza4 [7]
Answer:
Area = 492.4 m²

Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between these two sides)

This rule is illustrated in the attached image.

Now, we have:
AB = 40 m
BC = 25 m
angle B which is the angle included between AB and BC = 80 degrees

The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5*40*25*sin(80)
Area of triangle = 492.4 m²

Hope this helps :)

3 0
3 years ago
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