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3 years ago

Solve for m. - 9/2 m = 27/2

Mathematics

2 answers:

inn [45]3 years ago

8 0

Answer:

-3

Step-by-step explanation:

hope this helps

Alex3 years ago

6 0

Answer: -3

i hope this helps u

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Genetic Defects Data indicate that a particular genetic defect occurs in of every children. The records of a medical clinic show

Dovator [93]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability that there exist 60 or more defected children is $P(x \ge 60)=0.0901$

Looking at the value for this probability we see that it is not so small to the point that the observation of this kind would be a rare occurrence

Step-by-step explanation:

From the question we are told that

in every 1000 children a particular genetic defect occurs to 1

The number of sample selected is $n= 50,000$

The probability of observing the defect is mathematically evaluated as

$p = \frac{1}{1000}$

$= 0.001$

The probability of not observing the defect is mathematically evaluated as

$q = 1-p$

$= 1-0.001$

$= 0.999$

The mean of this probability is mathematically represented as

$\mu = np$

Substituting values

$\mu = 50000*0.001$

$= 50$

The standard deviation of this probability is mathematically represented as

$\sigma = \sqrt{npq}$

Substituting values

$= \sqrt{50000 * 0.001 * 0.999}$

$= \sqrt{49.95}$

$= 7.07$

the probability of detecting $x \ge60$ defects can be represented in as normal distribution like

$P(x \ge 60)$

in standardizing the normal distribution the normal area used to approximate $P(x \ge 60)$ is the right of 59.5 instead of 60 because x= 60 is part of the observation

The z -score is obtained mathematically as

$z = \frac{x-\mu }{\sigma }$

$= \frac{59.5 - 50 }{7.07}$

$=1.34$

The area to the left of z = 1.35 on the standardized normal distribution curve is 0.9099 obtained from the z-table shown z value to the left of the standardized normal curve

Note: We are looking for the area to the right i.e 60 or more

The total area under the curve is 1

$P(x \ge 60) \approx P(z > 1.34)$

$= 1-P(z \le 1.34)$

$=1-0.9099$

$=0.0901$

3 0

3 years ago

A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 f

Ksju [112]

Answer:

19.6ft (nearest tenth)

Step-by-step explanation:

Please refer to the attached photo for better understanding.

Given Length of Wire = BC = 22ft

Given Distance from Grounded Wire to Base of Pole = AC = 10ft

Length of Pole = AB

We can use Pythagoras' Theorem to find Length of Pole, AB.

By Pythagoras' Theorem,

$c^{2} =a^{2} +b^{2} \\BC^{2} =AB^{2} + AC^{2} \\22^{2} =AB^{2} +10^{2} \\484=AB^{2} +100\\AB^{2} =484-100\\AB=\sqrt{384} ft\\=19.6ft (nearest tenth)$

6 0

2 years ago

Jim's parents keep a chart on the wall where they mark how much Jim grows each year. When Jim was 15, he grew 1/4 of an inch and

Amiraneli [1.4K]

Answer: 3/4 inch

Step-by-step explanation:

When Jim was 15, he grew 1/4 of an inch and when he was 16, he grew 1/2 of an inch.

His growth during those two years will be:

= 1/4 + 1/2

= 1/4 + 2/4

= 3/4 inch

His growth increased by 3/4 inches.

3 0

3 years ago

The difference between 6 thirty-sixes and 4 thirty-sixes?

Rzqust [24]

Difference between 6- 36's & 4-36's would be 2-36's
Which would be equal to 72.

4 0

3 years ago

Read 2 more answers

Find the missing length. Round your answer to the nearest tenth.

Jobisdone [24]

Answer: D. 9.4 units

Explanation: We use the Pythagoras theorem because we know that it’s a right triangle and we have 2 lengths.

8^2+5^2= c^2

89=c^2
c= sqrt 89
c≈9.4 units

5 0

3 years ago

Read 2 more answers