what is 4/5 + (-2/5) - 1/5

Using the binomial distribution, it is found that the probabilities are given as follows:

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

Item 1:

The parameters are:

n = 15, p = 0.4, x = 4.

Hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 4) = C_{15,4}.(0.4)^{4}.(0.6)^{11} = 0.1228\)

Item 2:

The parameters are:

n = 12, p = 0.2, x = 2.

Hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{12,2}.(0.2)^{2}.(0.8)^{10} = 0.2835\)

Item 3:

The parameters are:

n = 20, p = 0.05.

The probability is:

\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)\)

The formula is the same used in previous exercices, hence, using a calculator.

\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9841\)

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Answer:

2.5+2.5+45+45

=95.0m

therefore area of the square= 95.0m

45m×0.5=45.5÷95=

Step-by-step explanation:

2.5m

2.5 m tiles are required

\(area = 2.5 \times 45 = 192.5 \: squared \: cenimetre \\ \\ no \: of \: tiles = 0.5 \times 0.5 = 0.25 \\ 192.5 \div 0.25 = 770tiles\)

The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Algebra

Add the numbers, and don't mess with the variable.

57a

Given,

In solving an equation with a variable, an operation can be applied to ____ side(s) of the equation.

Required:

To complete the sentence.

The algebraic equation is a linear equation that contains variables and constant.

The equation is contain operation for both sides.

To get the value of the variable, equation can be solved by one side or both side.

Hence, In solving an equation with a variable, an operation can be applied to _both___ side(s) of the equation.

The required angle is 24.5°.

Given is a right triangle with perpendicular side 16 and the base = 35 we need to find an acute angle in it,

To find the acute angle in a right triangle given the lengths of the perpendicular side and the base, you can use the tangent function.

The tangent of an angle is defined as the ratio of the length of the perpendicular side to the length of the base side.

In this case, the perpendicular side is 16 and the base is 35.

Let's denote the acute angle as θ.

Using the tangent function, we can set up the equation:

tan(θ) = perpendicular side / base

tan(θ) = 16 / 35

To find the value of θ, we can take the inverse tangent of both sides:

θ = tan⁻¹(16 / 35)

θ = 24.5°

Hence the required angle is 24.5°.

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The probability of matching x successes on n further trials in an experiment with two possible outcomes. There is a 4.88% chance that no one is worried that their employers are listening to their phone calls.

Given that,

The probability of matching x successes on n further trials in an experiment with two possible outcomes is known as the binomial probability (commonly called a binomial experiment).

The following formula gives it:

\(P=C_{n,x}p^{n}.(1-p)^{n-x}\)

Where is the number of distinct combinations of x items drawn from a set of n elements, as determined by the formula below.

\(C_{n,x}=\frac{n!}{x!(n-x)!}\)

And p is the probability that anything will happen.

Being aware that employers are monitoring phone calls is a victory in this issue.

43% of adults fear that their employers are listening to their phone calls,

p=43%=0.43

We must locate Four persons were questioned, and none expressed concern about phone call monitoring by companies.

We count four adults, n=4.

Is there a probability of success of 0? If so, then x = 0.

\(P=C_{n,x}p^{n}.(1-p)^{n-x}\)

\(P=C_{4,0}(0.43)^{0}.(0.57)^{4}\)

P=0.0488

Therefore, There is a 4.88% chance that no one is worried that their employers are listening to their phone calls.

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Answer:

dS/dt = 8 - (3S(t)/(90 + t))

Step-by-step explanation:

The differential equation of this problem is;

dS/dt = R_in - R_out

Where;

R_in is the rate at which salt enters

R_out is the rate at which salt exits

R_in = (concentration of salt in inflow) × (input rate of brine)

We are given;

Concentration of salt in inflow = 2 lb/gal

Input rate of brine = 4 gal/min

Thus;

R_in = 2 × 4 = 8 lb/min

Due to the fact that mixture is removed out at a slower rate, thus it is accumulating at the rate of (4 - 3)gal/min = 1 gal/min

Now, R_out = 3(concentration of solution outflow)

Now, concentration of solution outflow is given by the formula;

c_out = S(t)/v(t)

Where v is volume of fluid in tank at time t.

Since initial volume is 90 and we have a net total of 1 gallon added every minute. Thus, v(t) = 90 + t

So, c_out = S(t)/(90 + t)

R_out = 3S(t)/(90 + t)

So, final final differential equation is now;

dS/dt = R_in - R_out = 8 - 3S(t)/(90 + t)

Answer:

i dont get it

Step-by-step explanation:

Carol should decide on the average of the two anticipated numbers. She must thus decide to select  \(\frac{13}{24}\).

Probability is an area of mathematics that examines the possibility that a particular event will occur. In most cases, the probability values for the specified experiment are specified between a range of numbers. The values fall in the range of 0 and 1. A negative number cannot be the probability value. Experimental probability, also known as Empirical probability, is based on actual experiments and adequate recordings of the happening of events. For Alice's number, the anticipated value is \(\frac{1}{2}\) and the expected value of Bob's number is \(0.5*[\frac{1}{2} +\frac{2}{3} ]\). Carol should pick the middle between these two projected figures to increase her chances of winning. She must thus choose \(0.5*[\frac{1}{2} + \frac{7}{12} ]\) = \(\frac{13}{24}\). Alternatively, once we recognize that the answer lies in the interval \((\frac{1}{2},\frac{7}{12} )\), it is straight forward that she has chosen the right number.  

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Answer: 470

Step-by-step explanation: I need One more brainliest for next rank I’d appreciate it

Answer:

The numbers are 10, 30, and 60.

Step-by-step explanation:

Let x, y, and z be the numbers. y = 3x, and z = 2y = 6x.

x + 3x + 6x = 100

10x = 100

x = 10, y = 30, z = 60

Answer: C

Step-by-step explanation:

Answer:

no, 835% is not less than 0.95.

Step-by-step explanation:

as a percentage, 0.95 is 95%. 835% is greater than 95%. hope this helps.

Answer:

No

Step-by-step explanation:

835% as a decimal would be 8.35 and 0.95 is what you are comparing it to, so you could look at it's whole number and you see that it is bigger than zero so it is indubitably more than 0.95.

Hope this helps :)

Answer:

0.06

Step-by-step explanation:

0.061 - 0.001 = 0.060 = 0.06

Answer:

583

Step-by-step explanation:

The mean of a data set is the average of the data set. It can be found by adding up all of the values and then dividing by the total number of values added. In this case, one is given the mean, and one needs to find a missing value. Since there is a missing element, add one to the total number of values in the data set. The missing element is represented by the parameter (x). Set up an equation and solve:

\(\frac{(236)+(342)+(328)+(352)+(352)+(306)+(317)+(x)}{8}=325\\\)

Simplify,

\(\frac{2233+x}{8}=352\)

Inverse operations,

\(2233+x=2816\\\\x = 583\)

Answer:

It’s 367

Step-by-step explanation:

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

(a) A (20, 60), B = (0, 0) and C = (80, 0).

(b) The values of x and y that maximize the objective function are

(20, 60).

(c) From graph  we can see that (20, 60) is the maximum value of the objective function on the feasible region.

What is feasible region?

The set of all possible points of an optimization problem that satisfy the problem's constraints—which may include inequalities, equalities, and integer constraints—is referred to in mathematics as a feasible region, feasible set, search space, or solution space.

Given,

x ≥0, y ≥ 0

x + y ≤ 80

y ≤ 3x

Objective function: z = 250x + 300y

(a) For the given constraints the feasible region is attached below.

The feasible region is ABC.

where, A (20, 60), B = (0, 0) and C = (80, 0).

(b) Now to find the values of x and y which maximize the objective function.

z = 250x + 300y

At A = (20, 60)

z = 250(20) + 300(60) = 5000 + 18000 = 23000

At B = (0, 0)

z = 250(0) + 300(0) = 0

At C(80, 0)

z = 250(80) + 300(0) = 2000 + 0 = 2000

Therefore, the values of x and y that maximize the objective function are (20, 60).

(c) From graph  we can see that (20, 60) is the maximum value of the objective function on the feasible region.

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Answer:

The chance that the usual language in that household will NOT be English = 0.4

Step-by-step explanation:

As given ,

Total households in which languages spoken is English = 180

Total households in which languages spoken is Spanish = 80

Total households in which languages spoken is other than English or Spanish  = 40

So,

Total households = 180 + 80 + 40 = 300

Now,

Household in which English language is not spoken = 80 + 40 = 120

So,

The chances that the usual language in that household will NOT be English = \(\frac{120}{300} = \frac{12}{30} = \frac{4}{10} = 0.4\)

∴ we get

The chance that the usual language in that household will NOT be English = 0.4

Answer:

secondary sources cause that what makes them

Answer:

cute

Step-by-step explanation:

way to complicated to answer

The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).

It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.

In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.

Let the capacity of the mug be x.

Given,

Mug is 5/8 full and contains 3/4 of water

So, 5/8 of the mug is filled with water

Therefore,

5/8 of x = 3/4

(5/8 )x = (3/4)

x = (3/4) × (8/5)

x = (24/20)

x = 1.2

Therefore, the capacity of the mug is 1.2.

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Answer:

110

Step-by-step explanation:

Divide 176 by 8 to get 22 and then multiply 22 by 5 to get 110

Answer:

110

Step-by-step explanation:

176/8 is 22 so there are 22 slices per loaf.

To find the amount of slices in 5 loaves you multiply 22 and 5 to get 110.

Hope this helped :)

Answer:

1/90

Step-by-step explanation:

2/30×5/30=1/90

clear marble= 2/30

purple=5/30

The lateral and total surface area of the prism are 1000 square feet and 1120 square feet.

In this problem we need to determine the lateral and total surface area of a prism with a triangular base. The lateral surface area is the sum of the areas of the three rectangles and the total surface area is the sum of the lateral surface area and the areas of the two triangles.

The area formulas for the triangle and the rectangle are, respectively:

Triangle:

A = s · √[s · (s - a) · (s - b) · (s - c)]

s = 0.5 · (a + b + c)

Where:

Rectangle:

A = w · h

Where:

Now we proceed to determine each surface area:

Lateral surface area:

A = 2 · (20 ft) · (17 ft) + (20 ft) · (16 ft)

A = 1000 ft²

Total surface area:

s = 0.5 · (17 ft + 17 ft + 16 ft)

s = 25 ft

A = √[(25 ft) · (25 ft - 17 ft)² · (25 ft - 16 ft)] + 1000 ft²

A = 1120 ft²

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Answer:

y = 1/4 x - 1     (y = 0.25 x - 1)

Step-by-step explanation:

x intercept: (4 , 0)

y intercept: (0 , -1)

rise: 1

run: 4

slope: rise/run = 1/4

equation: y = mx + b      m=1/4      b = -1

y = 1/4 x - 1

Answer:Other person is correct. here are the summarized answer for my unit test right triangles and trigonometry unit test

1. side lengths 24, 32, and 40

right

2.  a is right angle m b = 45

14\/2

3.quilt squares hypotenuse 18

9\/2

4.what are the values of the variables in the triangle below  y,  x,  30 degrees, 12\/3

x=18 y=6\/3

5.cos_=9/5

63.26

6. victor drives 300 meters up hill

292.3

7. the students in Mr. Collins class 59 degrees    63 feet

105 feet

8. an airplane pilot        5172 meters

912

9.  to find the height of a pole  140 feet away     4 feet tall    44 degrees

139 feet

10. art piece      21in

191.0

11. a grid shows the positions of a subway     (-7,-1)      (-3,4)

6

12. triangle def m d 44   m d 61       ef 20 in

27.8

13.measure of j     16    103 degrees   11

42

14. triangle fgh   fh 8      fg 13       m f 72 degrees

35.9

15.  in triangle xyz    xy 13     yz  20      xz 25

31

Won't do written part.

Step-by-step explanation:

the answer to the expression 8.3-4 1/5 (6.1+1/2)is -19.42

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

The given expression

8.3-4 1/5 (6.1+1/2)

=8.3-4 1/5 (6.6)

=8.3-(6.6*21/5)

=-19.42

Hence the answer is -19.42

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