The probability distribution for a random variable x is given in the table.

(see image)

Find the probability that x<-3

Your chances of having the disease:-

So your current probability:-

Answer:

Step-by-step explanation:

[tex]\red{ \rule{0pt}{900000pt}}[/tex]

[tex]\red{ \rule{500pt}{900000pt}}[/tex]

Answer:

See below ↓↓

Step-by-step explanation:

Plan 1

Plan 2

Part A

Equating them

⇒ 127x = 363 + 94x

⇒ 33x = 363

⇒ x = 11 months [They will be same at this point]

Part B

⇒ Plan 1 : 127(24) = $3048

⇒ Plan 2 : 363 + 94(24) = 2256 + 363 = $2619

⇒ I would recommend Plan 2 as it costs less for the time period of 2 years

Answer:

0.25

Step-by-step explanation:

Every number has equal probability here

the answers are as follows:

• -15

• -7

• 5

• 13

• 21

The relationship between the heights of the tree is the date tree is 3 times as tall as the lemon tree.

Division is the process of determining the quotient of two or more numbers. The sign used to denote division is ÷. Division is one of the basic mathematical operations.

Height of the date tree / height of the lemon tree

3 x 8 /8 = 3

To learn more about division, please check: https://brainly.com/question/13281206

The set of data that might produce one of more gaps on thr histogram are:

A histogram is a graphical representation of data such that the data is organized by data points into user-specified ranges.

The categories of people highlighted above will cause gaps because there is an increased likelihood that their ages will vary greatly or be distanced from the mean.

Learn more about Histograms at:

https://brainly.com/question/2962546

Let's complete

Rule following=4n

#2

The rule is 4n

#3

Let's see

Answer:

Option D, The distributions are somewhat similar

Step-by-step explanation:

Step 1:  Determine the means-to-MAD ratio

Data Set 1 → Mean = 173.5, MAD = 3.9

Data Set 2 → Mean = 161.2, MAD = 4.1

[tex]Ratio = \frac{Mean\ of\ 2 - Mean\ of\ 1}{MAD\ of\ 2 - MAD\ of\ 1}[/tex]

[tex]Ratio = \frac{161.2 - 173.5}{4.1 - 3.9}[/tex]

[tex]Ratio = \frac{-12.3|}{0.2}[/tex]

[tex]Ratio = -61.5[/tex]

Step 2:  Determine if the distributions are similar or not

Since the MAD of set 2 is somewhat similar to MAD of set 1, the distributions are somewhat similar.

Answer:  Option D, The distributions are somewhat similar

Answer:

2√2 / (5√2 + 7)

Step-by-step explanation:

Given :

Expanding

Answer:

[tex]-14\sqrt{2}+20[/tex]

Step-by-step explanation:

[tex]\textsf{Substituting}\quad x=1+\sqrt2\quad\textsf{into}\quad\left(\dfrac{x-1}{x}\right)^3[/tex]

[tex]\implies \left(\dfrac{(1+\sqrt2)-1}{(1+\sqrt2)}\right)^3[/tex]

[tex]\implies \left(\dfrac{\sqrt2}{1+\sqrt2}\right)^3[/tex]

[tex]\textsf{Apply exponent rule}:\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}[/tex]

[tex]\implies \dfrac{(\sqrt2)^3}{(1+\sqrt2)^3}[/tex]

Expand numerator:

[tex](\sqrt{2} )^3=\sqrt{2}\sqrt{2}\sqrt{2}=2\sqrt{2}[/tex]

Expand denominator:

[tex]\begin{aligned}(1+\sqrt2)^3 & = (1+\sqrt2)(1+\sqrt2)(1+\sqrt2)\\ & =(1+\sqrt2)(1+2\sqrt{2}+2)\\ & =1+2\sqrt{2}+2+\sqrt{2}+2\sqrt{2}\sqrt{2}+2\sqrt{2}\\ & = 7+5\sqrt{2}\end{aligned}[/tex]

[tex]\implies \dfrac{(\sqrt2)^3}{7+5\sqrt2}[/tex]

Substituting expanded numerator and denominator:

[tex]\implies \dfrac{2\sqrt{2}}{7+5\sqrt2}[/tex]

[tex]\textsf{Mulitply by conjugate :}\quad\dfrac{7-5\sqrt2}{7-5\sqrt2}[/tex]

[tex]\implies \dfrac{2\sqrt{2}(7-5\sqrt2)}{(7+5\sqrt2)(7-5\sqrt2)}[/tex]

[tex]\implies \dfrac{14\sqrt{2}-20}{49-50}[/tex]

[tex]\implies \dfrac{14\sqrt{2}-20}{-1}[/tex]

[tex]\implies -14\sqrt{2}+20[/tex]

Answer:

Step-by-step explanation:

The g-intercept is the point where the function graph crosses the vertical axis. The value there is g(0). It is found by evaluating the function when n=0.

  g(0) = (0 -6)(0 +4)(0 -2) = (-6)(4)(-2) = 48

The g-intercept is (0, 48).

__

The n-intercepts are the points where the function graph crosses the horizontal axis. These are the values of n that make g(n) = 0. For each of the binomial factors, that value of n will be the value that makes the factor 0:

  n -6 = 0   ⇒   n = 6

  n +4 = 0   ⇒   n = -4

  n -2 = 0   ⇒   n = 2

The n-intercepts are (6, 0), (-4, 0), and (2, 0).

Answer:

g intercepts: 48

n intercepts: 6, -4, 2

Step-by-step explanation:
Part 1:

To find the g intercepts, set n to 0 everywhere.

You then get:

g(0) = (-6)*(4)*(-2)

g(0) = 48

Part 2:

To find the n intercepts, set g to 0.

You then get:

(n-6) * (n+4) * (n-2) = 0

Solve for n in each part seperately to find all intercepts:

n-6 = 0  ->  n = 6

n+4 = 0  ->  n = -4

n-2 = 0 -> n = 2

Answer:

This question is very big, you should shorten your question a bit so that I can answer it quickly, the rest is just that I did not understand the question a bit

Answer:

1,720m

Step-by-step explanation:

I took the test

a=1

-2a + 3 < 9 − 3a

5a − 4a + 6 < 8

2a + 3 > 10 − 3a

a=2

-4 + 3a + 8 < 16

14 + 5a < 12a + 1

3a − 2a + 1 > 2

Answer:

C. 2

Step-by-step explanation:

It has only 2 congruent faces- bases

Answer: the answer is c which is 2 , 2 faces

Step-by-step explanation: as the cylinder has 2 faces . The cylinder is a prism and any prism has 2 faces . HOPE IT HELPS YOU BUDDY . PLEASE GIVE BRAINLIEST .THANKS .

Answer:

8 feet are represented by a 4-inch line.

Step-by-step explanation:

Scale:

1/2 (0.5) in. = 1ft

1/2x = 1

x = 2

4x in. = ? ft

4(2) in = ? ft

4 x 2 = 8

8 feet are represented by a 4-inch line.

hope this helps!! p.s. i really need brainliest :)

Answer:

Infinitely many

Step-by-step explanation:

Given:

[tex]y + 12 = y + 10 + 2[/tex]

Solve:

Subtract y from  both sides

[tex]y+12-y=y+10+2-y[/tex]

Simplify

[tex]12=10+2[/tex]

Now add : 10 + 2

[tex]12=12[/tex]

Both side are equal

Since both sides are equal then answer = Infinitely many

[RevyBreeze]

Answer:

Step-by-step explanation:

Let the distance Brenda walked is B and distance John walked is J.

We have

and

Comparing the two equations we see

It means 2y + 4 is the distance walked by John

Correct answer choice is D

Answer: C (third choice)

Step-by-step explanation:

Square roots cannot hold negative x values as it will create an imaginary number.

Therefore the starting value of x must be starting at 0 and then moving to infinity

Answer:

c

Step-by-step explanation:

Answer:

  sh.299,449.72

Step-by-step explanation:

The future value of an ordinary annuity with annual payments P earning interest rate r compounded annually for t years is ...

  FV = P((1+r)^t -1)/r

For the given numbers, the future value is ...

  FV = sh.25000(1.07^9 -1)/0.07 ≈ sh.299,449.72

Answer:

8. 133°

9. 124°

Step-by-step explanation:

Because all triangles add up to 180°, the sum of all interior angle will add up to 180°.

8) 94 + 39 = 133

180 - 133 = 47

47° is the measure of the unknown interior angle, but we need the exterior and all straight lines are 180° angles, so we need to subtract.

180 - 47 = 133°

9)

81 + 43 = 124

180 - 124 = 56 (interior angle)

180 - 56 = 124° (exterior angle)

Answer:

Step-by-step explanation:

The diagonal of a rectangular garden forms a hypotenuse with the width and length sides.  We can use the Pythogorean Theorem to calculate the remaining side.

Let W, L, and H stand for the Width, Length, and Hypotenuse, all in meters.

W^2 + L^2 = H^2

Enter the data:

(63/4)^2 + L^2 = (111/4)^2

248.06 + L^2 = 770.06

L^2 = 522

L = 22.847 meters

Perimeter is 2W + 2L

Perimeter = 2(63/4) + 2(22.847)

Perimeter = 77.19 meters

Answer:

£ 392

Explanation

Answer:

B 5

Step-by-step explanation:

it is the same ratio as the red

[tex]x = vt\\\\\implies x= (x+4t)t\\\\\implies x=xt+4t^2\\\\\implies x -xt= 4t^2\\\\\implies x (1-t) =4t^2\\\\\implies x = \dfrac{4t^2}{1-t}[/tex]

Answer:

A = $1,742.75

A = P + I

Where

P is the principal (1,500.00)

I is the interest (242.75)

Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 1.5/100

r = 0.015 rate per year,

Then solve the equation for A

[tex]A = Pe^{rt}\\A = 1,500.00(2.71828)^{(0.015)(10)}\\A = $1,742.75[/tex]

Summary:

The total amount with compound interest on a principal of $1,500.00 at a rate of 1.5% per year compounded continuously over 10 years is $1,742.75.

Answer: hii

hopefully this helps you!

Step-by-step explanation:

Simplify the expression.

- Matthew <3

Answer:

number 1 is a

Step-by-step explanation:

I don’t know the rest tho but good luck

Answer:

scale factor is 3/2

Step-by-step explanation:

to find scale factor, new image divided by original image.

Make sure you rotate the image on the right so it matches the image on the left. 3 corresponds to 9/2 and 5 corresponds to 15/2.

[tex]\frac{9}{2}[/tex] ÷ [tex]\frac{3}{1} \\[/tex]

[tex]\frac{9}{2}[/tex] × [tex]\frac{1}{3}[/tex]

[tex]\frac{9}{6}[/tex]

reduce

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

Answer:

Step-by-step explanation:

a.

[tex]2^3*2^{-3}=2^0\\b.\\\frac{2^3}{2^5} =2^{-2}\\c.\\2^{-3}*5^{-3}=10^{-3}[/tex]