What is the area of a circle that has a radius of 5 meters

Answer:

169,711.23₱

Step-by-step explanation:

compound intrest formula

p(1+r/100)^n

150,000(1+2.5/100)^5

=169,711.23₱

The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.

To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.

Given:

Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.

Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.

No information is provided about the defect rate of the third plant.

To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.

Let's calculate the overall probability:

Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)

Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)

To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:

Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)

Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)

Overall probability of selecting a defective MP3 player is given by:

Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)

Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%

Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.

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Answer:

A regular one costs $0.27 and family costs $0.13.

Step-by-step explanation:

Just divide $2.43 with 9 and then do the same with the family one.

Answer:

Reg- 0.27  Family-0.13

Step-by-step explanation:

Answer:

The first answer.

Step-by-step explanation:

Combine like terms. Subtract 8.7 from both sides.

y+8.17 (-8.7)= 14.8 (-8.7)

y=6.1

Answer:

y = 6.1

Explanation:

y + 8.7 = 14.8

[ Subtract 8.7 from both sides ]

y + 8.7 − 8.7 = 14.8 − 8.7

y = 6.1

Answer:

$10.80

Step-by-step explanation:

45% of $24=10.8

use place value and money to make it $10.80

TEN DOLLARS AND EIGHTY CENTS

The solution to the system is x = -6 and y = 4.

To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.

Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:

-3x - 9y = -18

+ 3x + 4y = -2

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

    -5y = -20

Now we can solve for y by dividing both sides by -5:

y = 4

We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:

x + 3(4) = 6

x + 12 = 6

x = -6

So the solution to the system is x = -6 and y = 4.

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A n s w e r:

(x+4)(2x−3)

Answer:$2050.

Step-by-step explanation:

To find out how much a person will pay for renting a car for one day and driving it 100 miles using the given equation, you can substitute x = 100 into the equation y = 50 + 20x and solve for y:

y = 50 + 20x

y = 50 + 20(100)

y = 50 + 2000

y = 2050

Therefore, a person who rents a car for one day and drives it 100 miles will pay $2050.

Answer:

$1060

Step-by-step explanation:

as the average amount of DVD and digital camera is $925 so the television cost:

$1985-$925

=$1060

The population of the cells after 7 days is 12800 cells.

The population will first exceed 60000 cells after 9.2 days.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Initial population = 100 cells

The number of population after x days is given by.

f(x) = 100 x \(2^x\)

Now,

The population after 7 days.

f(7) = 100 x \(2^7\)

f(7) = 100 x 8 x 8 x 2

f(7) = 100 x 2 x 64

f(7) = 200 x 64

f(7) = 12800

The population after 9 days.

= 100 x 512

= 51,200

The population after 9.23 days.

= 100 x 600.49

= 60049

The population after 10 days.

= 100 x 1024

= 102,400

This means,

The population will exceed 60,000 after 9.23 days

Thus,

The population after 7 days is 12800.

The population will exceed 60,000 population after 9.2 days.

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Answer:

1.65

Step-by-step explanation:

1) Use the algorithm method.

0 . 5 5

×     3

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

1  1

1 . 6 5

4{8.2+3.7(4.4×8.8 -18.86)}=

4(8.2+3.7(38.72-18.86))=

4(8.2+(3.7)(19.86))=

4(8.2+73.482)=

(4)(81.682)=

326.728

The disadvantages of the mode are: For many sets of data there is no mode.

The mode is a measure of central tendency that represents the most frequently occurring value in a dataset.

However, one of the disadvantages of the mode is that for many sets of data, there may not be a distinct mode. In such cases, the data may have a uniform distribution where all values occur with equal frequency, or it may have multiple modes with similar frequencies.

The mode is not affected by extremely large or small values. It only considers the frequency of values and not their magnitude. Therefore, extreme values do not influence the mode.

The statement that the mode can only be computed for interval-level data or higher is incorrect. The mode can be computed for any type of data, including nominal, ordinal, interval, and ratio data. It is applicable to categorical as well as numerical data.

The main disadvantage of the mode is that for many datasets, there may not be a distinct mode.

The correct option is: For many sets of data there is no mode.

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The degree solutions of the equation are 51.82 degrees and 128.17 degrees

From the question, we have the following parameters that can be used in our computation:

cos² (x) + cos (x) − 1 = 0

Let y = cos(x)

So, we have

y² + y - 1 = 0

When solved graphically, we have

y = ±0.618

This means that

cos(x) = ±0.618

Take the arccos of both sides

x = cos-1(±0.618)

Evaluate

x = 51.82 degrees and 128.17 degrees

Hence, the angles are 51.82 degrees and 128.17 degrees

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Answer:

the answer would be v ≥ $5.80

Step-by-step explanation:

he doesn't need exactly 5.80 a day so that marks out A and C and since he needs v to be at least 5.80 it means B would be the answer

The measure of the arc opposite to 189° is 136°.

Secant lines are lines that intersect a curve at two distinct points. They are used to approximate the slope of the curve by measuring the change in the y-coordinate of the two points divided by the change in the x-coordinate of the two points.

The measure of the angle opposite to 189° is x.

To solve for x, we can use the property of alternate interior angles.

The sides of the two secant lines that intersect outside the circle form alternate interior angles whose measures are equal.

Therefore, the two angles formed by the secant lines inside the circle must have the same measure.

Therefore, 53° + x° = 189°.

Subtracting 53° from both sides, we get x° = 136°.

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Answer:

huh?

Step-by-step explanation:

Answer:

ALISSA

Step-by-step explanation:

Given the following scores :

NICO:

Score (x) = 81.6

Mean (m) = 72.6

Standard deviation (sd) = 15

EMILIO:

Score (x) = 225.3

Mean (m) = 205

Standard deviation (sd) = 29

ALISSA:

Score (x) = 8.08

Mean (m) = 7.2

Standard deviation (sd) = 0.4

STANDARDIZING THE DIFFERENT APTITUDE TEST SCORES:

OBTAINING THE ZSCORES :

Zscore = (x - mean) / standard deviation

NICO:

Zscore = (81.6 - 72.6) / 15

Zscore = 0.6

EMILIO:

Zscore = (225.3 - 205) / 29

Zscore = 0.7

ALISSA:

Zscore = (8.08 - 7.2) / 0.4

Zscore = 2.2

From the result of the Zscore, the best fit for the position is ALISSA

Answer:

For the points (0, 0) and (5, 3), the numerical expression 3 − 0 gives the rise and the numerical expression 5 − 0 gives the run.

Step-by-step explanation:

Answer:

Starting with the point on the left, sketch a right triangle, going from the first point to the second point.

Step-by-step explanation:

On solving the provided question we can say that the equation is \(y=2x+6 y= 2^x\)so, taking log on both side, x = 2 and y = -13

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

the equation is

\(y=2x+6 y= 2^x\)

so, taking log on both side

lv(2x) + ln(6y) = 2x

so, x = 2

and y = -13

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Answer:

a. -7 + 3

b. draw 7 negatives + 7 positives

Step-by-step explanation:

Answer:

3.a) -7 + 3

3.b) 4

I hope this helps!

Answer:

There are 2000 grams of in each meal.

Step-by-step explanation:

First you divide 8 by 4 because that's how many meals he eats per day then you convert the kilograms into grams.

The weight of each meal a black bear eats is 2 kilograms.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given,  A black bear in a zoo eats 8 kilograms of food each day.

He eats 4 equal-sized meals each day.

∴ The weight of each meal is the total kilograms of food divided by the total no. of meals which is,

= (8/4) kilograms.

= 2 kilograms.

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Answer: b 5 calories per minute

Step-by-step explanation: you can see that the graph starts at 0 and at the one at the bottom it goes to 5 and then 10 for 2 minutes and so on

The answer is

\(\frac{10}{14} \frac{15}{21} \frac{25}{35} \frac{30}{42} \frac{35}{49}\)

To learn more, take a look at this chart please.

Answer:

Any of these

10/14

15/21

20/28

etc.

Step-by-step explanation:

Basically, if you multiply the fraction by the same number, it will be equal.

Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].

To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).

The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.

In other words, the range of f(x) is (-∞, 5].

So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.

Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.

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