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Tju [1.3M]
3 years ago
12

The area of a rectangle is x2 - 6x – 27 and the length is X - 9. What is the width?

Mathematics
2 answers:
ivann1987 [24]3 years ago
7 0

<em>the width is x - 3</em>

<em />

<em>~iwa-chan</em>

Dvinal [7]3 years ago
5 0
Width is x - 3

A
=
x
2
+
6
x
−
27
=
(
x
+
9
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(
x
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3
)
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A container contains 1212 diesel engines. The company chooses 88 engines at​ random, and will not ship the container if any of t
bija089 [108]

Answer:

The probability that a container will be shipped even though it contains 2 defectives if the sample size is 88, will be P(S)=85.99\%

Step-by-step explanation:

The first step is to count the number of total possible random sets of taking a sample size of 88 engines over 1212 engines of the population, so \left[\begin{array}{ccc}1212\\88\end{array}\right] =1212C88=4.7205x10^{135}

The second step is to count the number of total possible random sets of taking a sample size of 88 engines over 1210 engines (discounting the 2 defective engines) as the possible ways to succeed, so \left[\begin{array}{ccc}1210\\88\end{array}\right] =1212C88=4.0596x10^{135}

Finally we need to compute \frac{\# ways\ to\ succeed}{\# random\ sets\ of \ 88} =\frac{4.0596x10^{135}}{4.7205x10^{135}}=0.8599=P(S), therefore the probability that a container will be shipped is P(S)=85.99\%

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3 years ago
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2,4,3,1

Step-by-step explanation:

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Answer:

(b) (a) (d) (a) (c)

Step-by-step explanation:

(i) The probability of an even card is 1/2 because the number of even cards and odd cards are the same so there is a 50% of getting an even card. (b)

(ii) Since the card is replaced, there is still a card for all numbers between 1-20. There are 8 prime numbers and 20 cards so the probability of getting a prime number is 8/20 or 4/10 or 2/5. (a)

(iii) The card was not replaced so there are only 19 cards and there are only 5 numbers that are multiples of 3 and greater than 4. The probability must be 5/19. (d)

(iv) A sure event means that it will happen 100%. So P(A) = 1 since the number one represents 100%. (a)

(v) All cards have replaced and there is only one number that is a multiple of 3 and 5 which is 15. 1 card out of 20 is a desired outcome so 1/20 is the probability. (c)

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3 years ago
18. If (2x-3) is a factor of 2x4 - 3x² + 15x - 15k,<br> find the value of (3k - √5 k).
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Answer:

Well, here it means that if we set 2x-3 to zero, it becomes x over two dimensions. If we set the question form to zero and set x to two over two

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