pls help me giving brainless.​

Answer:

a) 0.3921 = 39.21% probability that fewer than 14 of them have had a physical examination in the past two years.

b) 0.107 = 10.7% probability that at least 17 of them have had a physical examination in the past two years.

Step-by-step explanation:

For each women, there are only two possible outcomes. Either they visit their doctors for a physical examination at least once in two years, or they do not. The probability of a woman visiting their doctor at least once in this period is independent of any other women. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

70% of adult women visit their doctors for a physical examination at least once in two years.

This means that [tex]p = 0.7[/tex]

20 adult women

This means that [tex]n = 20[/tex]

(a) Fewer than 14 of them have had a physical examination in the past two years.

This is:

[tex]P(X < 14) = 1 - P(X \geq 14)[/tex]

In which

[tex]P(X \geq 14) = P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 14) = C_{20,14}.(0.7)^{14}.(0.3)^{6} = 0.1916[/tex]

[tex]P(X = 15) = C_{20,15}.(0.7)^{15}.(0.3)^{5} = 0.1789[/tex]

[tex]P(X = 16) = C_{20,16}.(0.7)^{16}.(0.3)^{4} = 0.1304[/tex]

[tex]P(X = 17) = C_{20,14}.(0.7)^{17}.(0.3)^{3} = 0.0716[/tex]

[tex]P(X = 18) = C_{20,18}.(0.7)^{18}.(0.3)^{2} = 0.0278[/tex]

[tex]P(X = 19) = C_{20,19}.(0.7)^{19}.(0.3)^{1} = 0.0068[/tex]

[tex]P(X = 20) = C_{20,20}.(0.7)^{20}.(0.3)^{0} = 0.0008[/tex]

So

[tex]P(X \geq 14) = P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1916 + 0.1789 + 0.1304 + 0.0716 + 0.0278 + 0.0068 + 0.0008 = 0.6079[/tex]

[tex]P(X < 14) = 1 - P(X \geq 14) = 1 - 0.6079 = 0.3921[/tex]

0.3921 = 39.21% probability that fewer than 14 of them have had a physical examination in the past two years.

(b) At least 17 of them have had a physical examination in the past two years

[tex]P(X \geq 17) = P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)[/tex]

From the values found in item (a).

[tex]P(X \geq 17) = P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.0716 + 0.0278 + 0.0068 + 0.0008 = 0.107[/tex]

0.107 = 10.7% probability that at least 17 of them have had a physical examination in the past two years.

Answer:

N/A

Step-by-step explanation:

Get the Desmos graphing calculator app. it is very helpful when graphing and needing to be able to compare functions

Answer:

No

Step-by-step explanation:

To form a proporion, both would need to be a multiple of the same thing, whcih they aren't

Given:

45 people will accomplish the given task in 15 days.

To find:

Days taken by 15 people to complete the same task.

Solution:

Since, 45 people of a company can finish a work in 15 days

Therefore, 1 person can accomplish the task in days = [tex]15\times45[/tex]

                                                                                        = [tex]675[/tex] days

15 people will accomplish the same task in number of days = [tex]\frac{675}{15}[/tex]

                                                                                                    = [tex]45[/tex]

Therefore, number of days taken by 15 people to accomplish the same task will be 45 days.

Learn more about the inverse relation,

https://brainly.com/question/9286901

Answer:

28,980

Step-by-step explanation:

Easy claps my boiiiiiiiii

Hail Hydra

Answer:

you would get 1.2

Answer:

Step-by-step explanation:

exact form 6/5

decimal form 1.2

mixed number form 1 1/5

Answer:

Step-by-step explanation:

The answer is A U just did that on Khan academy

Answer: A

Step-by-step explanation:

Answer:

(x−2)(x+3)

Step-by-step explanation:

x²-x-6=x²+3x−2x−6=x(x+3)−2(x+3)=(x−2)(x+3)

Answer:

The answer is n < 6.

Step-by-step explanation:

[tex] \frac{n}{3} < 6 - 4[/tex]

[tex] \frac{n}{3} < 2[/tex]

[tex]n < 2 \times 3[/tex]

[tex]n < 6[/tex]

Therefor, the answer is n < 6.

Answer:

c

Step-by-step explanation:

Answer:

The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Sample of 9000, 51% of students had at least one parent who was a college graduate.

This means that [tex]n = 9000, \pi = 0.51[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 - 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.4964[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 + 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.5236[/tex]

The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).

Answer:

7

Step-by-step explanation:

2x-5 + 2x-7 = 12

this is because the length of the line is given to be 12

so the sum of the two equations should be 12

2x+2x -5-7 = 12

4x - 12 = 12

4x = 12+12

4x = 24

x = 6

there TU = 2x-5 =2(6) -5 =12-5=7

TU = 7

Answer:

-12 and -1

Step-by-step explanation:

(-12)+ (-1)= -13

and -12x-1=12. as - x -=+ (minus x minus=plus)

Answer:-1 and -12

Step-by-step explanation:

-12*-1= 12

-12+(-1)=-13

Answer:

B is the correct answer

Step-by-step explanation: When you add 18+54+24=96 divide 96 by 3 and its 32!

Answer:

Mean:

= (4 + 6 + 9 + 11 + 8 + 13 + 12) / 7

= 63 / 7

= 9 (The sum of the numbers divided by the number of numbers)

Median:

= 4, 6, 8, 9, 11, 12, 13

= 9 (The middle number of a list from least to greatest)

Mode:

= NONE (The number that appears the most in a given list)

Answer:

Option A

Step-by-step explanation:

Range of a function is defined by the set of y-values (output values).

From the given graph,

Y-values of the exponential function given in the graph vary from y = -1 to y = ∞ (excluding both the points)

Therefore, Range of the given exponential function will be y > -1

Option A will be the correct option.

Answer:

A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers.

Step-by-step explanation:

Answer:

okay maybe try alliteration...

Answer:

If she made LESS than $48, then she worked 5 hours. But If she made exactly $48, then she worked 6 hours.

Step-by-step explanation:

MARK ME BRAINLIEST?

Answer:c

Use the distance formula to see if all three sides are congruent.

Step-by-step explanation:

An equilateral triangle is a triangle which has three sides with the same lengths. If we check for congruence we are checking to see if all the sides are the same :)

To prove a triangle is an equilateral triangle by using  the distance formula to see if all three sides are congruent, the correct option is C

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given;

To prove a triangle is an equilateral triangle

Now, we have to use the distance formula: d = sqrt( (x2 - x1)² + ( y2 - y1 )²)

When 2 sides are congruent it could be a scalene triangle, so it is not enough. All 3 sides must be congruent.

Therefore, the answer will be by use the distance formula of triangle to see if all three sides are congruent.

Learn more about congruent triangles;

https://brainly.com/question/12413243

#SPJ6

Answer:

6

Step-by-step explanation:

I found that the greatest common factor for those numbers is 6

Answer:

663

Step-by-step explanation:

the total number of students can be determined using this equation :

(total ratio of Chinese and Indian students / total ratio of students) x n = 468

total ratio of Chinese and Indian students = 4 + 8 = 12

total ratio of students 4 + 8 + 5 = 17

N = TOTAL NUMBER OF STUDENTS

12/17) x n = 468

multiply both sides of the equation by 17/12

n = 663

Answer:

b•h/2

12.8•9/2=57.6

area of the triangle is 57.6

12.8•18.5=236.8

area or rectangle is 236.8

the total area is 57.6+236.8=294.4

I hope this right

Missing information :

The model was omitted from the question ; the possible model relating to the question was browsed online and could possibly be :

N(t) = 1.07t^2.3 for 0 ≤ t ≤ 10 months

Answer:

30.9 cases per month

Step-by-step explanation:

Given the model to determine the number of rats that have developed cancer after initial exposure ; N(t) = 1.07t^2.3

N(t) = 1.07t^2.3

Take the first derivative of N with respect to t to obtain the rate of change ;

N'(t) = (1.07)(2.3)t^2.3-1

N'(t) = (1.07)(2.3)t^1.3

The rate of growth of cancer cases at the 7th month can be calculated thus :

t = 7

N'(7) = (1.07)(2.3)t^1.3

N'(7) = 1.07 * 2.3 * 7^1.3

N'(7) = 1.07 * 2.3 * 12.549529

N'(7) = 30.884

The rate of growth of cancer at the 7th month is 30.9 cases per month.

Answer:

-11/12

Step-by-step explanation: