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klasskru [66]
3 years ago
9

What is the area of the composite figure? ___ units^2

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0

Answer:

  34 square units

Step-by-step explanation:

The figure can be considered to be a trapezoid with a rectangle removed.

The area of the trapezoid is ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(10 +6)(5) = 40

The area of the rectangle is ...

  A = LW

  A = (3)(2) = 6

Then the area of the shaded portion of the figure is ...

  shaded area = trapezoid area - rectangle area

  = 40 - 6 = 34 . . . square units

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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
2 years ago
A and B someone can help ny plis
kolezko [41]

Answer:

Part A: 15 and 100 are the coefficients!

Part B: Two terms in the expression!

Step-by-step explanation:

3 0
3 years ago
2. What is the overall purpose of photosynthesis?​
mafiozo [28]

Answer:

plants getting there food is the basic use of photosynthesis

Step-by-step explanation:

6 0
2 years ago
The booster club will sell raffle tickets to raise money for new band uniforms. The total cost of the uniforms is $16,272. Each
Zina [86]

Answer: 1,356 tickets

12x=16,272

divide by 12 on both sides

12x÷12=16,272÷12

x=16,272÷12

x=1,356

I hope this is good enough:

7 0
2 years ago
Divide 25kg in the ratio 2:3:5
fgiga [73]
First, add up the parts of the ratio...
2+3+5=10
then divide the whole into individual parts...
25/10=2.5
then multiply the value of 1 part by the amount in the ratio...
2.5 x 2  =5
2.5 x 3 = 7.5
2.5 x 5 = 12.5
so the final ratio is 5kg:7.5kg:12.5kg
Hope this helps :)
7 0
3 years ago
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