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2 years ago

Need Help 2 & 3 with inequalities!!!

Mathematics

1 answer:

Mrac [35]2 years ago

5 0

Answer:

2. D

3. B

Step-by-step explanation:

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Factor the polynomial 25p squared - 144

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(5p+12) (5p-12) i hope this helps

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How much do a dozen cookies weigh?

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If 4 Maths books are selected from 6 different Maths different English books, how many ways can the seven om Maths books and 3 E

alexgriva [62]

Answer:

Please see the answer below

Step-by-step explanation:

a. Since there’s no restrictions .Therefore , the number of ways = 7!*150 = 756000

b. The number of ways such that the 4 math books remain together

The pattern is as follows: MMMMEEE, EMMMMEE, EEMMMME, and EEEMMMM

Where M = Math’s Book and E= English Book.

Number of ways = 4!*8!*4*150= 86400 ways.

c. The number of ways such that math book is at the beginning of the shelf

The number of ways = 6!*4*150 = 432000

d. The number of ways such that math and English books alternate

The number of ways = 150*4!*3! =2160 ways

e. The number of ways such that math is at the beginning and an English book is in the middle of the shelf. The number of ways = 4*3*5!*150 =216000 ways.

6 0

3 years ago

An optical inspection system is used to distinguish among different part types. The probability of a correct classification of a

Whitepunk [10]

Answer: $\mu=2.88\ \&\ \sigma^2=0.115$

Step-by-step explanation:

Given : The probability of a correct classification of any part is : p=0.96

sample size : n= 3

The formula to find the mean and variance for binomial distribution is given by :-

$\mu=np\\\\\sigma^2=np(1-p)$

Let the random variable X denote the number of parts that are correctly classified.

The, for the given situation, we have

$\mu=3(0.96)=2.88\\\\\sigma^2=(3)(0.96)(1-0.96)=0.1152\approx0.115$

Hence, the mean and variance of X are 2.88 and 0.115 respectively.

4 0

3 years ago

The diameter of a circle is 14 in. Find its area in terms of

Luda [366]

Answer:

Given - Diameter of circle = 14 in

To find - Area of circle

Solution -

Diameter= 2 × Radius

14 = 2 × R

14/2 = R

7 = R

Area of circle= π r^²

22/7 × 7 × 7

22 × 7

154

7 0

2 years ago