What is the standard notation for the following expression?
4.62 × 10⁻³

Answer:

a. All sides are the same length

a. 60 degree for each angle

b. Parallelogram, rhombus

c. trapezoid

A tetrahedron dice is four-sided and labeled with 1, 2, 3, and 4. The probability of rolling at least one 2 in five rolls is approximately 0.7627, or 76.27%.

Let's break down the problem step by step:

1. Probability of rolling a 2 on one roll, the tetrahedral dice is labeled with the numbers 1, 2, 3, and 4. Since there is only one face labeled with 2, the probability of rolling a 2 on one roll is 1 out of 4, or 1/4.

2. Probability of not rolling a 2 on one roll, since there are three faces labeled with a number other than 2, there are three ways to not roll a 2. Therefore, the probability of not rolling a 2 on one roll is 3 out of 4, or 3/4.

3. Probability of not rolling a 2 in five rolls, to find the probability of not rolling a 2 in five rolls, we can multiply the probability of not rolling a 2 on one roll by itself five times.

This is because each roll is independent, so the probability of not rolling a 2 on one roll is the same for all five rolls. Therefore, the probability of not rolling a 2 in five rolls is (3/4) * (3/4) * (3/4) * (3/4) * (3/4) = (3/4)^5, which is approximately 0.2373.

4. Probability of rolling at least one 2 in five rolls: Since we want to find the probability of rolling at least one 2 in five rolls, we can subtract the probability of not rolling a 2 in five rolls from 1. This is because the probability of rolling at least one 2 is the complement of the probability of not rolling a 2.

Therefore, the probability of rolling at least one 2 in five rolls is 1 - 0.2373 = 0.7627, which is approximately 76.27%.

To learn more about probability click on,

https://brainly.com/question/13452054

#SPJ4

Answer:

1.x=-3,-4

2.A

3.-3,-5

4.C

5.A

6.C

7.D

8.C

Step-by-step explanation:

(aₙ) be a sequence of real numbers and a ∈ R.  So,a₁+a₂+...+aₙ/n → a

Suppose  (aₙ) is a sequence of real numbers and a ∈ R.

Given that aₙ → a, we need to show that a₁ + a₂ + ... + aₙ/n → a.

Learn more about sequence real  numbers https://brainly.in/question/55902888

#SPJ11

Answer:

-22

Step-by-step explanation:

Step 1: Change 1 1/5 to improper fraction

11/5

Step 2: KCF (Keep Change Flip)

11/5(-10/1)

-110/5

Step 3: Simplify

-22

And we have our answer!

Andrew gets on a scale and reads his weight as 66 lb. If 1 kg ≈ 2. 2 lb, what is his mass in kilograms? His mass is 29.93 kilograms.

A pound( symbol lb) is a unit of mass used in the customary systems of dimension. The transnational avoirdupois pound( the common pound used moment) is defined as exactly 0.45359237 kilograms. The avoirdupois pound is original to 16 avoirdupois ounces.

A kilogram( symbol kg) is the base unit of mass in the International System of Units( SI). It's presently defined grounded on the fixed numerical value of the Planck constant, h, which is equal to 6.62607015 × 10- 34 in the units of J · s, or kg · m2 · s- 1. The cadence and the second are defined in terms of c, the speed of light.

The unitary method is used to find the value of a single unit from a given multiple, 1 pound = 0.45359237 kilograms ≈ 0.454 kilograms

66 pounds = 66 X 0.454 kilograms ≈ 29.93 pounds.

To learn more about kilogram, click here:

brainly.com/question/28844288

#SPJ4

If the class has a mean (μ) of 60 and a standard deviation (σ) of 10, and your score is 65, then you would be above the mean but still within one standard deviation. In this case, the set of parameters μ = 60 and σ = 10 would likely give you a relatively good grade.

To determine which set of parameters would give you the best grade on the exam, we need to understand the grading scheme and how your score is compared to the rest of the class. Specifically, we need to know the mean (μ) and standard deviation (σ) of the exam scores for the entire class.

If the grading scheme involves a curve, where your score is compared to the mean and standard deviation of the class, then the set of parameters that would give you the best grade would depend on the distribution of scores in the class.

If the class has a mean (μ) of 60 and a standard deviation (σ) of 10, and your score is 65, then you would be above the mean but still within one standard deviation. In this case, the set of parameters μ = 60 and σ = 10 would likely give you a relatively good grade.

However, if the class has a different mean and standard deviation, or if the grading scheme does not involve a curve, then a different set of parameters might give you the best grade.

Without more specific information about the grading scheme and the distribution of scores in the class, it is difficult to determine the exact set of parameters that would result in the best grade for you.

Visit here to learn more about standard deviation brainly.com/question/29115611
#SPJ11

To construct the exponential function that contains the points (0,-2) and (3,-128), we can use the general form of an exponential function:

y = a * b^x

where y is the function value, x is the input value, b is the base of the exponential function, and a is a constant representing the y-intercept. To find the specific exponential function that contains the two given points, we need to solve for a and b using the given coordinates.

First, we can use the point (0,-2) to find the value of a:

-2 = a * b^0
-2 = a * 1
a = -2

Next, we can use the point (3,-128) to find the value of b:

-128 = -2 * b^3
64 = b^3
b = 4

Now that we know the values of a and b, we can write the exponential function:

y = -2 * 4^x

Therefore, the exponential function that contains the points (0,-2) and (3,-128) is y = -2 * 4^x.

To view a related problem visit : https://brainly.com/question/18891502

#SPJ11

Answer:

b is your answer

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

42 3/4 I think

Step-by-step explanation:

because if you simplified 342/8 it will be 171/4. so if you simplified that it'll get you to 42 3/4

Answer:

Step-by-step explanation:

b^7. b^5 ⇒ b^12

Product Rule says that to multiply two exponents with the same base, you keep the base and add the powers.

b^7 + 5

b^12

-------------------------------------------------------------------------

14x^8/7x^4 ⇒ 2x^4

2 times 7 goes into 14.

18. ∆PQR =~ ∆RPA ( by SAS )

19. ∆DQR =~ ∆PQR ( by AAS )

20. ∆ARO =~ ∆PQO ( by AAS )

Answer:

35

Hope this helps!

7 * 5 = 35

Answer:

y = 0.027027027027027x + 14.540540540541

or

\(y = \frac{1}{37} x + \frac{538}{37}\)

Step-by-step explanation:

The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

To know more about direct labor:

https://brainly.com/question/13126873

#SPJ4

To find:

The method of drwaing the graph of given inequality.

Solution:

Given inequality: -3m +18 < 30.

Solve the inequality:

To draw the graph, draw a dotted line on -4. Since, the solution set contains all numbers greater than -4,so, shade the portion that lies to right side of -4.

the correct option is (d) 3.

Let Y be a Poisson random variable and P(Y = 0) = 0.0498.

We know that the mean of a Poisson random variable is λ, then we can calculate the mean as follows:

P(Y = 0) = e^(-λ) λ^0 / 0! = e^(-λ)

Then,

e^(-λ) = 0.0498

=> -λ = ln(0.0498)

=> λ = 3.006

So the mean of this Poisson random variable is λ = 3.

Therefore, the correct option is (d) 3.

Learn more about Poisson random variable from this link:

https://brainly.com/question/31064562

#SPJ11

Answer:

a) 1

b) 0

c) hundreths

d) .8

Step-by-step explanation:

The order, for this problem, is:

hundreds, tens, ones,

then after the decimal

tenths, hundredths, thousandths, ten thousandths, etc.

as for step d, imagine .08 as 8/100, and 8/10. Would you rather have 8 slices of pizza out of 100 slices, or 8 out of 10 slices of the whole?

I hope I helped!

The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

Know more about "permutations and combinations" here: https://brainly.com/question/13387529

#SPJ6

Answer:

x= -10

y= -4

Step-by-step explanation:

Given data

3x+1=8y----------------1

11y-3x=-11--------------2

rearange

3x-8y=-1------------------1

-3x+11y=-11---------------2

add 1 and 2

3x-8y=-1------------------1

-3x+11y=-11---------------2

0+ 3y= -12

y= -12/3

y= -4

put y= -4 in 2

11y-3x=-11

11(-4)-3x=-11

-44-3x=-11

-44+11=3x

-33= 3x

x= -33/3

x= -10

Answer:

50.4% decrease

Step-by-step explanation:

(difference of two values/original value ) x 100

= (625/1240) x 100

= .504 x 100

= 50.4%

Answer:

33.5

1865 - 625 = 1240

625/1865 = 33.5%

For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

The "Rule of 72" is a quick estimation method to determine the time it takes for an investment or savings to double in value. By dividing 72 by the interest rate, you can obtain an approximation of the doubling time. For an interest rate of 3%, it would take approximately 24 years for the savings to double. For an interest rate of 8%, it would take around 9 years for the savings to double.

To calculate the doubling time using the Rule of 72, divide 72 by the interest rate. This provides an approximation of the number of years it takes for an investment or savings to double in value.

For an interest rate of 3%, we divide 72 by 3: 72 / 3 = 24. Therefore, it would take approximately 24 years for the savings to double.

For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

Learn more about Interest Rate here

https://brainly.com/question/28272078

#SPJ11

Answer:

5 bananas cost $ .55

Step-by-step explanation:

9x = .99

divide by 9, each banana is $.11

multiply by 5 to get cost.

Answer:

axis of symm:  x = -1

vertex:  (-1, -4)

domain:  all real numbers

range:  y ≥ -4

x-intercepts:  1, 3

y-intercept:  -3

minimum at (-1, -4)

Step-by-step explanation:

First you will get 4dz

D) The figure has four 90° angles and exactly two pairs of parallel sides.

In geometry, parallel lines are two lines that exist in the same plane, are equally spaced apart, and never cross one another. There is a range of possible shapes, both horizontal and vertical.

Zebra crossings, stacks of notebooks, and the nearby railroad tracks are just a few places where parallel lines can be observed. The distance between two parallel lines at their perpendicular intersections is constant.

Different shapes' sides go parallel to one another. The single arrow lines in the rectangle below are parallel to one another, and the double arrow lines are also parallel to one another.

The symbol for parallel lines is ||, which consists of two vertical lines placed between the names of the lines.

To know more about parallel lines:

brainly.com/question/16701300

#SPJ1

The equation that can be used to to determine the  number of trees can be presented as follows;

t = 41790 ÷ 210  + 5

An equation is a mathematical statement that consists of mathematical expressions joined by an equals to sign.

The number of orange trees MacDonald removes from his farm = 5 teres

The number of oranges produced by each of the remaining trees = 210

The number of oranges in the harvest = 41790 oranges

The initial number of orange trees is therefore;

The number of orange trees that produce the 41790 oranges is therefore;

41790  ÷ 210 =  199

The number of orange trees remaining after the 5 trees have been removed =  199 trees

The initial number of trees is therefore;
t = 5 + 41790 ÷ 210 = 204

The initial number of trees, t = 204 trees

Learn more about writing equations here:

https://brainly.com/question/17907763

#SPJ1

33,868,800 ways can five men and eight women are seated at a round table if no two men sit together.

No of men = 5

No of women = 8

The total no. of circular permutations or ways to be seated 8 women at a time is (8-1)! =7!

In 8 gaps 5 men can be arranged in 8\(p_{5}\) ways i.e. 8! / (8-5)! =8! /3!

Total no. of ways = 7! × 8! /3! =5040×\(\frac{40320}{6}\) =33,868,800 ways.

A permutation is an act of arranging objects or numbers in order. combos are the manner of choosing objects or numbers from a group of items or collections, in one way that the order of the items does not matter. A permutation is a technique of arranging all the participants in the order. The mixture is an expansion of factors from a collection.

permutation relates to the act of arranging all of the members of a hard and fast into a few series or orders. In different words, if the set is already ordered, then the rearranging of its factors is known as the technique of permuting. The mixture is a way of selecting gadgets from a collection, such that (not like variations) the order of selection does not remember. A permutation is used for the listing of facts (in which the order of the information matters) and the aggregate is used for a set of facts (wherein the order of records doesn’t count).

To learn more about combination and permutation visit here:

brainly.com/question/13387529

#SPJ4