divide 4 divided by 9,324 math

Answer:

Step-by-step explanation:

346.62

Answer:

3.4662 times 10^2

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

Step-by-step explanation:

a₁₂ = a₁r¹²⁻¹ = -15×6¹¹

Answer:

$120 for 20 lessons

Step-by-step explanation:

has the lowest ratio

Answer:

The Answer is 120 for the cheapest piano lessons

Answer:

The correct answer is a.

Step-by-step explanation:

The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.

135 as a product of its prime factors is written as  3 × 3 x 3 x 5

The prime factors are those prime digits that can divide a particular digit evenly and without leaving any remainder. To put it differently, these are the main digits that, when multiplied with one another, result in the initial number.

In mathematics and number theory, prime factors hold significant value as they enhance comprehension of number properties and interconnections. In addition, they are utilized in a range of mathematical calculations and algorithms.

From the information given, we have the value as;

135

The prime factors are  3 × 3 x 3 x 5

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The estimated number of cars without insurance from a sample of 180 cars is 18.

Insurance is a form of risk management that protects individuals and businesses from financial losses due to unexpected events such as accidents, theft, or natural disasters. It provides a safety net to individuals and businesses by compensating them for losses or damages that are covered by a policy. Types of insurance include life, health, auto, property, liability, and business insurance. Insurance also helps businesses to minimize their risk by transferring the risks to insurance companies, which then pay for any covered losses.

We can calculate the estimated number of cars without insurance from a sample of 180 cars by taking the average of the four days and multiplying it by 3, since there are three times as many cars in the larger sample as in the smaller sample.
Therefore, the estimated number of cars without insurance from a sample of 180 cars is (6+8+10+8)/4 x 3
= 18.

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First You add all given angles up to equal 180 to give you x then you plug x into equations

A= 125 degrees

C= 35 degrees

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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First, let's calculate the total number of students in the class:

Out of those 26 students we have

19 that do not play a sport.

Therefore the probability that a student chosen randomly

from the class does not play a sport is:

The number of degrees below zero is given by A = 56° F

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the initial temperature be represented as T

Let the number of degrees below zero be A

Now , the value of T is

T = -56° F

From the modulus function , we get

The value of the modulus function is always non-negative.

So , the measure of A = | T |

A = | -56 |

A = 56° F

Hence , the number of degrees below zero is 56° F

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Answer for A it’s 24

Answer:

114cm²

Step-by-step explanation:

divide the 'room' into equal boxes..

3cm×4cm= 12cm²

3cm×4cm=12cm²

9cm×10cm=90cm²

12cm+12cm+90cm= 114cm²

total area is 114cm²

Answer: f(1/3)=1

Step-by-step explanation:

For this problem, all we have to do in plug in 1/3 into n.

f(1/3)=3(1/3)

f(1/3)=1

Answer:

AB

Step-by-step explanation:

Using FOIL (first outer inner last) u can determine that the final term will be produced by multiplying the last terms in each bracket. These are A and B, so the final term of the resulting trinomial is AB.

You can check this by fully expanding (x + A)(x + B):

\((x + A)(x + B)\\= x^{2} + Bx + Ax + AB\)

the terms B and A are usually numbers, so Bx and Ax tend to get added together to form a middle term. hope this helps!

Answer:

We conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $4,500.00 at a rate of 3.2% per year  compounded continuously  over 1.5 years is $4,721.27.

Step-by-step explanation:

Given

To determine

Accrue Amount A = ?

Using the formula

\(A\:=\:Pe^{rt}\)

substitute r = 0.032, P = 4500, and t = 1.5

\(A\:=\:4,500.00\left(2.71828\right)^{\left(0.032\right)\left(1.5\right)}\)

A = $ 4721.27

Therefore, we conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $4,500.00 at a rate of 3.2% per year  compounded continuously  over 1.5 years is $4,721.27.

The period of oscillation is 3 seconds

A Oscillation is the periodic change of a measure around a central value or between two or more states, usually in time.

The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle. It is measured in seconds

Oscillation can also be vibration or revolution or cycle.

Therefore, using the graph to determine the period. Then the wave particle made a complete oscillation at 3 second.

This means that the period of the particle is 3 seconds.

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Answer:

vanilla to chocolate is 2:1

and chocolate to strawberry is 3:1

Step-by-step explanation:

Now I am hungry.(magnum is my favorite ice cream)

we have the function

f(x)=-(5/3)x+5

see the attached figure

Part A

y-intercept (value of y when the value of x is zero)

the y-intercept is the point (0,5)

Part B

Find out the rate of change (slope)

Remember that

f(x)=-(5/3)x+5 -----> linear equation in slope-intercept form

so

the slope is m=-5/3

Part C

Zero of the function or x-intercept (value of x when the value of f(x) is zero)

x-intercept is (3,0)

Part D

Domain -----> All real numbers -----> interval (-infinite, infinite)

Part E

Range ---> All real numbers -----> interval (-infinite, infinite)

Using the z-score, mean and sample mean, the standard deviation of the sample is 7.57

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

The formula is given as;

z = x - μ / σ

Substituting the values into the formula;

-2.13 = 19.3 - 29 / σ

Cross multiply both sides;

-2.13σ = 19.3 - 29

-2.13σ = -9.7

Divide both sides by the coefficient;

-2.13σ / -2.13 = -9.7 / -2.13

σ = 7.57

The standard deviation is 7.57

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1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

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The answer for it is diagram B because it does not cross or have parallel lines

Answer:

4, -4, 36

Step-by-step explanation:

a) a*2 = -2*-2 = 4

b) a^2 = -2^2 = -4

c) a*3^2= 3*-2^2 = -36

Answer:

0.85083 ; 0.83147 ; 0.6823 ; 0.015386

Step-by-step explanation:

Given that:

σ = 25

μ = 86

(a) x is more than 60

P(x > 60)

obtain standardized score (Zscore)

Zscore = (x - μ) / σ

Z = (60 - 86) /25

Z = - 1.04

P(Z > - 1.04) = 0.85083 (Z probability calculator)

(b) x is less than 110

P(x < 110)

obtain standardized score (Zscore)

Zscore = (x - μ) / σ

Z = (110 - 86) /25

Z = 0.96

P(Z < 0.96) = 0.83147 (Z probability calculator)

(c) x is between 60 and 110

P(x < 110) - P(x < 60)

P(Z < 0.96) - P(Z < - 1.04)

0.83147 - 0.14917

= 0.6823

(d) x is greater than 140

P(x > 140)

obtain standardized score (Zscore)

Zscore = (x - μ) / σ

Z = (140 - 86) /25

Z = 2.16

P(Z > 2.16) = 0.015386 (Z probability calculator)

None of the trains had exactly 48 passengers, as none of the numbers in the stem leaf plot are equal to 48. The closest numbers are 45 and 49, but neither are exactly 48.

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The probability that both non defective components are selected from batch A, batch B, batch C are 0.59, 0.258, 0143

Let A shows the event of selecting a batch (A) contain no defective components , B shows the event of selecting a batch (B) contain one defective component and C shows the event of selecting a batch (C) contain two defective components. So we have following probabilities:

P(A)=0.52

P(B)=0.28

P(C)=0.20

(a). Let D shows the event that both selected components are non defective. So if batch A is selected then the probability that 2 selected components are non defective is

If batch B (1 defective, 9 non defective) is selected then the probability that 2 selected components are non defective is

If batch C (2 defective, 8 non defective) is selected then the probability that 2 selected components are non defective is

So the probability that both selected components are non defective is

\(P(D)= P(\frac{D}{A} )P(A)+P(\frac{D}{B})P(B)+P(\frac{D}{C})P(C)\)

= 0.52 +0.224-0.124 = 0.868

The probability that both non defective components are selected from batch A (no defective components) is

The probability that both non defective components are selected from batch B (one defective components) is

The probability that both non defective components are selected from batch C (two defective components) is

Now let D shows the event that out of both selected components one is defective and one is non defective. So if batch A is selected then the probability that One of the two tested components is defective is

If batch B (1 defective, 9 non defective) is selected then the probability that One of the two tested components is defective is

If batch C (2 defective, 8 non defective) is selected then the probability that One of the two tested components is defective is

So the probability that both selected components are non defective is

=0+0.056+0.071=0.126

The probability that one defective and one non defective components are selected from batch A (no defective components) is

The probability thatone defective and one non defective components are selected from batch B (one defective components) is

The probability that one defective and one non defective components are selected from batch C (two defective components) is

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The number of Kid's Launches that are possible is 128. This is solved using Combination Principle.

A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant.

Hence,

The number of possible "Sizes" from the specified 4 sizes are ⁴C₁

The number of sorts of bun that is possible from the specified two bun types is:  ²C₁

From the four sides, the number of possible side purchases is:  ⁴C₁

Of the available four drinks, the number of the possible drinks is: ⁴C₁

Now the possible number of all lunches are:

⁴C₁ x  ²C₁ x  ⁴C₁ x  ⁴C₁

= 4 x 2 x 4 x 4

= 128

Hence the number of Kid's Lunches that are possible are 128.

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Matching of the functions domain and range are as follows:

f(x)   = 4-4x ;

Domain:{0,1,3,5,6}

Range;{-20,-16,-8,0,4}

f(x) = 5x - 3

Domain:{-2,-1,0,3,4}

Range:{-13,-8,-3,12,4}

f(x) = -10x

Domain:{-4,-2,0,2,4}

Range:{-40,-20,0,20,40}

f(x) = (3/x) + 1.5

Domain:{-3,-2,-1,2,6}

Range:{0.5,0,-1.5,3,2}.

1) The function f(x) = 4 - 4x

Take Domain:{0,1,3,5,6}

If, we take x=0 and put in the function then we get

f(x)=4-0

f(x)=4

put x=1

f(x) = 4 - 4 =0

put x=3 then we get

f(x)=4-12=--8

put x=5 them we get

f(x)=4-20=-16

put x=6 then we get

f(x)=4-24=-20

Therefore ,range:[-20,-16,-8,0,4}

2) The function f(x)=5x-3

Take domain{-2,-1,0,3,4}

Now, put x=-2 in the function then we get

f(x) = -13

now put x=-1 then we get

f(x)=-5-3=-8

Put x=0 then we get

f(x)=0-3=-3

Put x=3 then we get

f(x)=15-3=12

Put x=4 then we get

f(x)=20-3=17

Therefore , range:{-13,-8,-3,12,17}

3) The function f(x)=-10x

Take domain:{-4,-2,0,2,4}

Put x=-4 in the function then we get

f(x)=40

Put x= -2 then we get

f(x)=20

Put x=0 then we get

f(x)=0

Put x=2 then we get

f(x)=-20

Put x=4 then we get

f(x)=-40

Therefore , range :{-40,-20,0,20,40}

4) The function f(x)= (3/x) + 1.5

Take domain:{-3,-2,-1,2,6}

Put x= -3 in the taken function then we get

f(x)=-1+1.5=0.5

put x=-2 then  we get

f(x)= -1.5+1.5=0

Put x=-1 then we get

f(x)=-3+1.5=-1.5

Put x= 2 then we get

f(x)=1.5+1.5=3

Put x= 6 then we get

f(x)=0.5+1.5=2

Therefore, range : {0.5,0,-1.5,3,2}.

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Answer:

B'=  ( -1, -3 ) D'= ( 3, -3 )

Step-by-step explanation:

Well we just divide the coordinates of each point by 3!

Answer:

Step-by-step explanation:

The length of the arc is proportional to the central angle.

The circumference of the circle is given by ...

  C = 2πr

  C = 2π(8 in) = 16π in ≈ 50.265 in

The 60° arc represents 60°/360° = 1/6 of the circle, so its measure will be 1/6 of the total circumference.

 short arc = (1/6)(16π in) ≈ 8.38 in

The remaining portion of the circle is 5/6 of the total circumference, so is ...

  long arc = (5/6)(16π in) ≈ 41.89 in

__

Additional comment

If you use 3.14 for pi, you will get shorter lengths for the arcs. Here, we used the calculator's "pi button."