The size of a cell is typically found by capturing an image under a microscope
then using software to measure its diameter. Two cells are measured using
this method:
Cell A: 9.85 x 10-2 centimeters
Cell B: 4.4 x 10-4 centimeters
How many times larger is the diameter of cell A than the diameter of cell B?
Write your answer in standard notation, rounding to the nearest tenth.

Answer:

4 events

Step-by-step explanation:

you divide 12.50 by 50 then you get 4

The monthly finance charge when the previous balance method is used is $245.83

The finance charge using the previous balance method will be:

= 3000 × 15 × 1/(12 × 100) + 2500/12

= 3000 × 15 × 1/1200 + 208.33

= $245.83

The charge when the adjusted balance method is used will be:

= $3000 - $2500

= $500

The charge when the average daily balance is used will be:

= 3000 × 15% × (1/12)

= 3000 × 0.15 × (1/12)

= $37.50

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The graph that represents the function f(x) = -2sin(x) +37 is graph D

The graph of the function f(x) = -2sin(x) +37 is a sinusoidal wave with an amplitude of 2 and a vertical shift of 37. The negative sign in front of the sine function indicates that the wave is inverted or reflected about the x-axis.

In this graph, the maximum value of the function is 39 (when x = 0) and the minimum value is 35 (when x = π).

In conclusion, the graph that represents the function f(x) = -2sin(x) +37 is graph D

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B for question 12

B for question 13

Step-by-step explanation:

U = Union

n= intercestion

B'= not b

A"= not a

so AnB'

should be B

if 2.50 = 1

2.50x8=

20

1×8 =

8

should be $8

The probability that daily production is between 28 and 45.9 liters is 0.024.

Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.

Given that, x₁=28, x₂=45.9, μ=38 and σ =4.3

We know that, Z=(x-μ)/σ

Z=standard score, x=observed value, μ=mean of the sample and σ=standard deviation of the sample

z =(38-28)/4.3= 2.32 and probability on the z-table is 0.9896

z = (38-45.9)/4.3 = -1.83 and probability on the z-table is 0.9656,  

Now, P(2.32<z<-1.83) = 0.9896-0.9656

= 0.024

Therefore, the probability that daily production is between 28 and 45.9 liters is 0.024.

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The value of u is 2 in the given right-angled triangle.

The given figure is a right-angled triangle with hypotenuse 'u' and the other two sides as \(\sqrt{2}\) and v.

We have to find the value of 'u' using Pythagoras theorem or trigonometric identities.

It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In a right-angled triangle ABC, if

BC = hypotenuse

AC and AB are the other two sides then,

\(BC^2 = AC^2 + AB^2\).

For this problem, we can find the value of u by using trigonometric identities.

From the figure, we have an angle of 45°.

Consider Cos 45°.

Cos Ф = base / hypotenuse

Cos 45° = \(\sqrt{2}\) / u ...........(1)

From trigonometric identities of cosine.

We have,

Cos 45° = 1 / \(\sqrt{2}\)............(2)

From (1) and (2)

We get,

1 / \(\sqrt{2}\) = \(\sqrt{2}\) / u

u = 2.

Thus the value of u is 2 in the given right-angled triangle.

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Answer:

a negative

Step-by-step explanation:

Using the pandas library in python for creating dataframes, the required expression to calculate the required probability is \( \frac{len(reqout)}{len(df)}\)

Subsetting columns using pandas :

Rows where wheel 1 is less than 6 ;

Rows where wheel 2 is greater than 6 ;

Combining the two conditions :

(Wheel < 6 and wheel 2 > 6)

Subsetting the condition into the entire dataframe ; such that we have the required outcome

Recall :

To obtain the number of each outcomes, we use the len function, which gives the length of observations in a dataframe.

P(at_least_6_or_greater_than_6) = \( \frac{len(req_out)}{len(df)}\)

Therefore, expression for the estimate of the probability is \( \frac{len(reqout)}{len(df)}\)

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Subtract to find the number of gallons used:

48,555 - 45621 = 2,934 gallons.

Multiply gallons used by price per gallon:

2,934 x 0.12 = $352.08

For the first part of this question, we need to find the conditional probability P( Florida native | Independent voter). This probability is given by the formula:

In this case, we have:

A: Florida native

B: Independent voter

P(A and B) = 0.09

P(B) = 0.1

Then:

For the second part, we can use the same formula, except this time we have:

A: Independent voter

B: Florida native

P(A and B) = 0.09

P(B) = 0.19

Then:

Notice that this last result is an approximation, where we rounded the result to three decimal places.

Answer:

1 potato chip every 3 seconds

Step-by-step explanation:

Answer:

20 chips in one minute

Step-by-step explanation:

multiply each number by 5

The probability that a truck drives between 150 and 156 miles in a day is 0.0247. Using the standard normal distribution table, the required probability is calculated.

The formula for calculating the probability distribution for a random variable X, Z-score is calculated. I.e.,

Z = (X - μ)/σ

Where X - random variable; μ - mean; σ - standard deviation;

Then the probability is calculated by P(Z < x), using the values from the distribution table.

The given data has the mean μ = 120 and the standard deviation σ = 18

Z- score for X =150:

Z = (150 - 120)/18

   = 1.67

Z - score for X = 156:

Z = (156 - 120)/18

  = 2

So, the probability distribution over these scores is

P(150 < X < 156) = P(1.67 < Z < 2)

⇒ P(Z < 2) - P(Z < 1.67)

From the standard distribution table,

P(Z < 2) = 0.97725 and P(Z < 1.67) = 0.95254

On substituting,

P(150 < X < 156) = 0.97725 - 0.95254 = 0.02471

Rounding off to four decimal places,

P(150 < X < 156) = 0.0247

Thus, the required probability is 0.0247.

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Option • 12 is the answer .The number of treatments in the experiment is 12.

The understudy is directing a trial to comprehend the connection between microwave power and time on the quantity of unpopped bits in a pack of popcorn. There are three degrees of microwave power: low, medium, and high. Each sack of popcorn can be popped for either 3 minutes or 4 minutes, which provides us with a sum of double cross variables. To cover every one of the potential mixes of time and power, the understudy runs 12 distinct medicines (3 degrees of force x 2 degrees of time). Every treatment addresses one sack of popcorn that is popped for a particular time frame and with a particular power setting. The quantity of unpopped parts is recorded for every treatment, and the outcomes are utilized to make determinations about the impacts of microwave power and time on the quantity of unpopped pieces.

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An order-preserving function, denoted as f, maintains the order of elements between partially ordered sets or linearly ordered sets. If f is a function from set P to set Q, it is order-preserving if, for any elements r and y in P, the inequality r < y implies f(r) < f(y).

An example of an order-preserving function is a mapping that maintains the order of elements between two partially ordered sets or linearly ordered sets.

Suppose we have two partially ordered sets, P and Q, with their respective order relations (<). Let f: P → Q be a function defined between the two sets.

For f to be order-preserving, it must satisfy the condition that if r < y in P, then f(r) < f(y) in Q. In other words, if an element r precedes another element y in P, the corresponding images f(r) and f(y) in Q must preserve the same order.

For example, let's consider P = {1, 2, 3, 4} and Q = {a, b, c, d}, both linearly ordered sets. If we define f(1) = a, f(2) = b, f(3) = c, and f(4) = d, then f is an order-preserving function.

This is because the order relation in P (1 < 2 < 3 < 4) is maintained in Q (a < b < c < d) through the mapping performed by f.

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The speed of the second pedestrian is 5 kilometers per hour.

Let's say that the speed of the second pedestrian is S.

We know that the other pedestrian walks at a speed of 4km/h, and they (together) travel a distance of 27km in 3 hours, then we can write the linear equation:

(4km/h + S)*3h = 27km

It says that both pedestrians work, together, a total of 27km in 3 hours.

Now we can solve that linear equation for S, to do this, we need to isolate S in the left side of the equation.

4km/h + S = 27km/3h = 9 km/h

S = 9km/h - 4km/h = 5km/h

The speed of the second pedestrian is 5 kilometers per hour.

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Answer:

B) a local beach.

At a local beach, you might find quiet a few different perspective from people who like or don't like swimming, whether going to a swimsuit store, you most likely will find people buying the swimsuit because they enjoy it, and plan on swimming in it.

Step-by-step explanation:

Hope it helps! =D

Answer:

The car will travel  525 miles on 15 gallons of gas.

Step-by-step explanation:

Given that car can travel 35 miles using 1 Gallon of gas.

so

Unit rate = 35 miles per gallon

Thus,

The number of miles a car can travel in 15 gallons = 15 × 35

                                                                                    = 525 miles

Thus, the car will travel  525 miles on 15 gallons of gas.

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

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

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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Answer:

option 3

Step-by-step explanation:

In a triangle, the angle that is supplementary to one angle is equal to the other two angles' degrees added together.

In this case, angle 4 is supplementary to angle 3, which means that angle 4 is equal to angle 1 + angle 2. We can see that this is the third option.

The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

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false,  {b}->{a} appears to hold with respect to the given instance.

A variable created in a class that has a unique copy, or instance, for each instantiated object of the class is known as an instance variable in class-based, object-oriented programming. Although not static, an instance variable resembles a class variable.

A variable specified within a class but outside of constructors, methods, or blocks is known as an instance variable. All the constructors, methods, and blocks in the class have access to instance variables, which are created when an object is instantiated. To the instance variable, access modifiers can be applied.

false,  {b}->{a} appears to hold with respect to the given instance.

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The expression obtained is (f + g)(x)  = 4x³ - 2x² +6x +1

A function is a law that connects two variables , a dependent and an independent variable.

It comes with a defined range and domain.

It is given that there are two expression

ƒ(x) = 3x² + 6x - 5

g(x) = 4x³-5x² +6

it has been asked to find (f+g)x

so (f + g)(x) = 3x² + 6x - 5 + 4x³-5x² +6

(f + g)(x)  = 4x³ - 2x² +6x +1

Therefore the expression obtained as 4x³ - 2x² +6x +1 .

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Answer:

x = 3 units

Step-by-step explanation:

This is an isosceles right-angled triangle because one of the three angles is 90° and two of the three sides are equal to eachother:

Slanted height = Hypotenuse

                        = hyp

                        = \(3\sqrt{2}\) units

Opposite = opp

                = x units

Adjacent = adj

               = x units

Pythagorean Theorem will be applied:

\(hyp^{2}\) = \(opp^{2} + adj^{2}\)

\((3\sqrt{2})^{2}\) = \(x^{2} + x^{2}\)

\([9(2)]\)   = \(2x^{2}\)

   \(18\)  = \(2x^{2}\)

   \(x^{2}\)  = \(\frac{18}{2}\)

   \(x^{2} = 9\)

Taking the square root on both sides to get rid of the square:

   \(x = \sqrt{9}\)

∴ x = 3 units

Answer: Approximately 0.667

================================================================

Explanation:

Here are all the possible outcomes to roll on the number cube: {1,2,3,4,5,6}

Here are the outcomes which are greater than two:  {3,4,5,6}

There are 4 outcomes we want (rolling a 3 through 6) out of 6 outcomes total, so we end up with the probability 4/6 = 0.667 which is approximate

In reality, the 6's go on forever in the decimal value, but we can't write the number forever. Round that value in bold however you need to or however your teacher instructs.

Answer:

D.134

Step-by-step explanation:

Answer:

Adding +6 in turn

Step-by-step explanation:

-13+6=(-7)

(-7)+6=(-1)

(-1)+6=5

5+6=11

11+6=17

17+6=23

23+6=29

29+6=35

........... And so on

Answer:

x = 49

Step-by-step explanation:

The sum of angles is 360

(x + 84) + 80 + 3x = 360

x + 3x = 360 - 84 - 80

4x = 196

x = 196/4 = 49

Answer: 0.0016

Step-by-step explanation: To find the fraction square root, first, find the square root of the numerator and then find the square root of denominator. After finding the square root values, simplify the fraction.

Answer:

a) V/2 ; b) V/4

Step-by-step explanation:

a) V = πR²h

If h --> h/2 the new volume V' = πR²h/2 = V / 2

b) πR²h

If D --> D/2 then R --> R/2 and the new volume V" = π(R/2)²h = π(R)²h/4 = V/4