what is the solution to the inequality 1/4(3x-6) >2(7-x +1

Answer:

Step-by-step explanation:[tex]\geq \\ \sqrt{x}[/tex]

Answer:

0.1402

Step-by-step explanation:

For each baby elk, there are only two possible outcomes. Either they survive adulthood, or they do not survive. The probability of an elk surviving adulthood is independent of other elks. So 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.

Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood.

This means that [tex]p = 0.44[/tex]

Suppose researchers choose 7 baby elk at random to monitor.

This means that [tex]n = 7[/tex]

What is the probability that more than 4 elk in the sample to survive to adulthood?

This is:

[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7)[/tex]. So

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

[tex]P(X = 5) = C_{7,5}.(0.44)^{5}.(0.56)^{2} = 0.1086[/tex]

[tex]P(X = 6) = C_{7,6}.(0.44)^{6}.(0.56)^{1} = 0.0284[/tex]

[tex]P(X = 7) = C_{7,7}.(0.44)^{7}.(0.56)^{0} = 0.0032[/tex]

[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1086 + 0.0284 + 0.0032 = 0.1402[/tex]

0.1402 probability that more than 4 elk in the sample to survive to adulthood.

Using the concept of binomial probability, the probability that more than 4 survive is 0.1402

Using the binomial probability formula :

The probability that more than 4 survive can be defined thus :

Using a binomial probability calculator :

[tex] P(x > 4) = 0.1086 + 0.0284 + 0.0032 [/tex]

[tex] P(x > 4) = 0.1402 [/tex]

Hence, the probability that more than 4 survive is 0.1402

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Answer:

6 < x ≤ 10

Step-by-step explanation:

The graph given shows that the possible value of x greater 6 (does not include 6 because the circle is not full) and also is less than or equal to 10 (includes 10 because the circle is full).

That is: x > 6 and x ≤ 10

This can be written as: 6 < x ≤ 10

Answer:

(-2,0) and (1,0)

Hope this helps!

Answer:

Step-by-step explanation:

∠SRT = 180-(11x+3) = 177-11x

∠TSR + ∠SRT = 180-85 = 95

(5x-10) + (177-11x) = 95

-6x+167 = 95

72 = 6x

x = 12

Answer:

You included the zero from right side of decimal point, which you shouldn't have.

Answer:

You take the percentage times the total of money you have.

Housing is the cost of $465.75 ( 27%x $1725)

Food is the cost of $345 (20%x$1725)

Clothes is the cost of $155.25 (9%x$1725)

Gifts is the cost of $120.75 (7%x$1725)

Transportation is the cost of $224.25 (13%x$1725)

Entertainment is the cost of $86.25 (5%x$1725)

Miscellaneous is the cost of $51.75 (3%x1725)

Insurance is the cost of $86.25 (5%x%1725)

Health is the cost of $51.75 (3%x$1725)

Savings is the cost of $138 (8%x$1725)

Im so so sorry of this is wrong!!

I hope it helps if it is right!!

Answer:

ima say 200 but I'm not 110 percent sure

Answer:

$60,000

Step-by-step explanation:

Given :

Monthly earning = $600

Commission = 3%

Month's goal = $2400

Let total sales for the month = x

Hence,

Monthly earning + (commission * total sales) = monthly goal

600 + (0.03 * x) = 2400

600 + 0.03x = 2400

0.03x = 2400 - 600

0.03x = 1800

x = 1800 / 0.03

x = $60,000

Answer:

i hope this answers your question!

Step-by-step explanation:

175+x=405

Step 1: Simplify both sides of the equation.

x+175=405

Step 2: Subtract 175 from both sides.

x+175−175=405−175

x=230

The number that, when added to 175, equals 405 is 230.

To find the number that, when added to 175, equals 405, we can subtract 175 from 405. This will give us the missing number.

405 - 175 = 230

Therefore, 175 plus 230 equals 405.

To explain this process further, we can think of subtraction as the inverse operation of addition. By subtracting the known quantity (175) from the total (405), we are left with the missing quantity (230).

In other words, if we start with 175 and add 230 to it, we will end up with the desired sum of 405. This demonstrates the relationship between addition and subtraction and allows us to determine the missing number needed to reach the target sum.

To learn more about the addition;

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Answer:

x=13

Step-by-step explanation:

45=3x+6

3x=39

x=13

Answer:

(0, -1)

Step-by-step explanation:

A parallelogram is a quadrilateral (has four sides) in which opposite sides are parallel to each other. Also for a parallelogram, the opposite sides and angles are equal to each other.

Hence for parallelogram RSTU, RS // TU and RU // ST

Let the coordinate of U be (x , y). Two lines are parallel to each other if their slopes are equal, hence:

Slope of RS = (4 - 1) /[3 - (-3)] = 3/6 = 0.5

Slope of ST = (2 - 4) /[6 - 3] = -2/3

Slope of RU = (y - 1) /[x - (-3)] = (y - 1) / (x + 3)

Slope of TU = (y - 2) /[x - 6]

Slope of RU = Slope of ST

(y - 1) / (x + 3) = -2/3

3y - 3 = -2x -6

2x + 3y = -6 + 3

2x + 3y = -3                  (1)

Slope of RS = Slope of TU

0.5 = (y - 2) /[x - 6]

0.5x - 3 = y  - 2

0.5x - y = 1                  (2)

Solving 1 and 2 simultaneously gives:

x = 0, y = -1

Therefore the coordinates of U = (0, -1)

Answer: x > - 18

Step-by-step explanation:

Answer:

A) 59 cu. cm

Step-by-step explanation:

diameter =  5cm

Radius = 5/2 = 2.5 cm

Volume of cone = [tex]\frac{1}{3}*\pi *r^{2} h[/tex]

                         [tex]=\frac{1}{3} * 3.14 * 2.5 *2.5 * 9\\\\= 3.14 * 2.5 * 2.5 * 3\\\\= 58.875\\[/tex]

                         = 59 cu cm

Answer:

Laura's monthly payment will be $501, and her total finance charge over the course of the loan will be $5,060.

Step-by-step explanation:

Given that in a 5-year loan with an annual interest of 7.5%, the monthly payments for every $ 1,000 are $ 20.04, taking into account that Laura took a loan of $ 25,000, to determine the monthly payments and the total interest to be paid, they must be made the following calculations:

20.04 x 25 = X

501 = X

Thus, the monthly payments that Laura will have to make will be $ 501.

(501 x 12 x 5) - 25,000 = X

30,060 - 25,000 = X

5,060 = X

In turn, the total finance charge will be $ 5,060.

Answer:

-80

Step-by-step explanation:

Trust me

Answer:

The scale factor is 4

Step-by-step explanation:

32(end product) divided by 8(original) = 4

Answer:

scale factor = 4

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{OA'}{OA}[/tex] = [tex]\frac{32}{8}[/tex] = 4

Answer:

1. A rotate 180° counterclockwise    (x,y) --> (-x,-y)  or

2. A reflect about the origin (0,0)     (x,y) --> (-x,-y)

Step-by-step explanation:

A ( -2 , 4)      F (2 , -4)

2 ways:

1. A rotate 180° counterclockwise    (x,y) --> (-x,-y)  or

2. A reflect about the origin (0,0)     (x,y) --> (-x,-y)

Wish this is right...

Answer:

The coordinates of point A are (-2, 4), and the coordinates of point F are (2, -4).The x-coordinates, -2 and 2, are opposites, and the y-coordinates, 4 and -4, are opposites.

Step-by-step explanation:

!!edmentum answer!!

Answer:

5 shells were broken.

Step-by-step explanation:

To find how many shells were broken, we must multiply the amount broken to the total to find the number of shells broken.

1/3 * 15=5

Answer:

Reasonable prediction = 240 students

Step-by-step explanation:

Given that:

6 out of every 8 students own a pet.

Ratio = 6 : 8

Number of students surveyed = 320

Predicted number of students who own pets = x

Ratio = x : 320

As the relationship is proportional;

6 : 8 :: x : 320

Product of mean = Product of extreme

8x = 320 * 6

8x = 1920

Dividing both sides by 8

[tex]\frac{8x}{8}=\frac{1920}{8}\\x=240[/tex]

Hence,

Reasonable prediction = 240 students

Answer:

18x + 24 or c

Step-by-step explanation:

1 8 + 2 4

this is the answer  

Answer:

it false

Step-by-step explanation:

trust me

Answer:

your answer is True. for a explanation look under this.

Step-by-step explanation:

Hello let's work out this problem together

lets split this in half so 112/8 plus x and 15 + 4x -7

let's start off with part one 112/8 = 14 plus 2 is 16.

now part 2

15 + 4 times 2 -7

15 plus 8 -7

15 plus 1 = 16

Answer:

The angle in the box is always 50 and that other acute angle is 46

Hope this helps

Step-by-step explanation:

Answer:

m∠B = 44°

Step-by-step explanation:

∑ of all angles in a triangle = 180°.

Note that m∠C = 90° (based on the definition of a right angle).

Note that m∠A = 46° (given).

Set the equation:

Total (180) = 90 + 46 + m∠B

Isolate the term, m∠B. First, simplify. Combine like terms:

180 = (90 + 46) + m∠B

m∠B + (136) = 180

Next, note the equal sign, what you do to one side, you do to the other. Subtract 136 from both sides:

m∠B + 136 (-136) = 180 (-136)

m∠B = 180 - 136

m∠B = 44°

44° is the measurement of the indicated angle B.

~

Answer:

y = -2x + 7/6

Step-by-step explanation:

y-2/3=-2(x-1/4)

Distribute the -2

y-2/3=-2x+ 2/4

y - 2/3 = -2x + 1/2

Add 2/3 to each side

y - 2/3 + 2/3 = -2x + 1/2 + 2/3

Get a common denominator

y = -2x + 3/6 + 4/6

y = -2x + 7/6

Answer:

y=-2x+7/6

Step-by-step explanation:

The equation for point-slope is y-y1=m(x-x1), where (x1,y1) are one of the points on the line.

y-2/3=-2(x-1/4)

(1/4, 2/3) is the point and the slope is -2

The equation for slope-intercept is y=mx+b, where m is the slope and b is the y-intercept.

y=(-2)x+b **Substitute the slope into m**

(2/3)=-2(1/4)+b **Substitute the points in as x and y**

2/3=-2/4+b

14/12=b **Add 2/4 to both sides**

14/12 is the same as 7/6

7/6 is the y-intercept

y=-2x+7/6

Answer: 382 3/10- 191 87/100= 190 43/100

Simple math hope it helps u

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

As 4 units move to the right, 1 unit goes up. Using the formula for slope:

Rise / Run

The gradient of the blue line is 1/4 or 0.25