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3 years ago

I need help on this please help me

Mathematics

2 answers:

sammy [17]3 years ago

8 0

Answer: Please view the attachment.

Step-by-step explanation: Bur27con, I copied the photo you uploaded and edited it on Microsoft Word. The correct answer is shown in the document.

Please comment below if this helped!

Download docx

Zolol [24]3 years ago

5 0

Answer:

Step-by-step explanation:

whether diagonal, vertical or horizontal you still going to get 24.

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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

I need help with this

andre [41]

Answer:

$f(x)=\dfrac{(x+3)(x-1)^2}{(x+4)(x+3)(x-2)^2}$

Step-by-step explanation:

Each vertical asymptote corresponds to a zero in the denominator. When the function does not change sign from one side of the asymptote to the other, the factor has even degree. The vertical asymptote at x=-4 corresponds to a denominator factor of (x+4). The one at x=2 corresponds to a denominator factor of (x-2)², because the function does not change sign there.

Each zero corresponds to a numerator factor that is zero at that point. Again, if the sign doesn't change either side of that zero, then the factor has even multiplicity. The zero at x=1 corresponds to a numerator factor of (x-1)².

Each "hole" in the function corresponds to numerator and denominator factors that are equal and both zero at that point. The hole at x=-3 corresponds to numerator and denominator factors of (x-3).

Taken altogether, these factors give us the function ...

$\boxed{f(x)=\dfrac{(x+3)(x-1)^2}{(x+4)(x+3)(x-2)^2}}$

8 0

3 years ago

Angles A and B are supplementary. The measure of angle A is 60° and the measure of angle B is represented by 3x. Which equation

boyakko [2]

B
because the angles are supplementary meaning they add up to 180

5 0

4 years ago

Write the equation of the line in fully simplified slope-intercept form.

kaheart [24]

ANSWER: y=4/3x-7

Reasoning: slope is 4/3 (change in y over change in x)
The y intercept is a -7
Then you just fill in the equation

4 0

3 years ago

a. Assuming a linear relationship between year and salaries by gender, determine when the median annual salary for women will ex

Snowcat [4.5K]

First We have to find the tendency for both cases individually. Let's calculate the equation of the line for each one.

For Men we take two points (year, salary) ( 2 , 35,308) ( 4 , 37076) With these points we are going to calculate the slope of the line.

$m=\frac{y2-y1}{x2-x1}=\frac{37076-35308}{4-2}=884$

Then, we have to calculate the intercept of the line with the slope and point (2, 35,308)

y= mx+ b

35,308 = 884*(2)+b

Isolating b,

35,308 - 1768 = b

33540=b

The first equation must be y = 884x +33540

For Women we take two points (year, salary) ( 2 , 27,508) ( 4 , 29,796 ) With these points we are going to calculate the slope of the line

$m=\frac{y2-y1}{x2-x1}=\frac{29,796-27,508}{4-2}=1144$

Then, we have to calculate the intercept of the line with the slope and point (2, 27,508)

y= mx+ b

27,508 = 1144*(2)+b

Isolating b,

27,508 - 2288 = b

25220=b

The second equation must be y = 1144x +25220

Now We are going to find the incercept of these equations, we are going to formulate the following equation

884x+33540 = 1144x+25220

33540-25220=1144x-884x ( Isolating terms with x)

8320=260x (Solving on each side)

8320/260 = x =32 ( Isolating x)

It implies that after 32 years Women would exceed men.

B. It seems that as the number of bachelor degrees of women exceeds men's number, the salary increases at a higher rate. So , the change would be greater for women than men every year.

3 0

2 years ago