Human finger nails grow an average of 3.47mm per month. How much will they grow in 20 months

Using the simplification, the solution of the given expression for x is 107.5.

In the given question we have to solve the given expression.

The given expression is x-12.5=95.

Now solving the expression.

x-12.5=95

To solve the expression we add 12.5 on both side

x-12.5+12.5=95+12.5

x=107.5

The solution of the given expression for x is 107.5.

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If you calculate SLE to be $25,000 and that there will be one occurrence every four years (ARO), then the ALE is $40,000.

A expected monetary decline each moment an asset is at risk is referred to as single-loss expectancy (SLE). It is a term that is most frequently used during risk analysis and attempts to assign a monetary value to each individual threat.

Quantitative risk analysis predicts the likelihood of certain risk outcomes as well as their approximate monetary cost using relevant, verifiable data.

IT professionals must consider a wide range of risks, including the following:

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Answer:

2.4 lb

Step-by-step explanation:

We know

Alicia paid 1.32 for a bag of pinto beans

The beans cost .55 per lb

How much did the bag of pinto beans weigh?

1.32 / .55 = 2.4 lb

So, the bag of pinto beans weighs 2.4 lb.

Answer:

20

Step-by-step explanation:

There other side should be greater than 12 so as to make it acute triangle hence since is isosceles, two sides are equal and that can only be 20 not 12 so correct answer is 20.

Other side =20

Answer:

 3²

Step-by-step explanation:

The factors 3³ in the numerator and denominator cancel each other. Anything divided by itself is 1. Anything multiplied by 1 is unchanged.

  \(\dfrac{3^3\cdot3^2}{3^3}=\dfrac{3^3}{3^3}\cdot3^2=1\cdot3^2=3^2\)

_____

Additional comment

The exception is that 0 divided by itself is indeterminate.

Answer:

-3,7,17,27,37,47,57,67,77,87,97,107

Step-by-step explanation:

You add 10 to -3 which gives you 7. You continue adding. This sequence goes on forever. You just keep adding 10.

I hope this helps!

Answer:

  0.16

Step-by-step explanation:

You want the probability that team b will win 2 games in a row, given that the probability of team a winning is 0.6, and the probability of team b winning is 0.4.

After one win for team A, the series can have the possible outcomes ...

  A – team a wins with probability 0.6

  BA – team a wins with probability (0.4)(0.6) = 0.24

  BB – team b wins with probability (0.4)(0.4) = 0.16

The probability of team b winning the series is 0.16.

__

Additional comment

The probability team a wins the series after winning the first game is 0.6 +0.24 = 0.84 (= 1 -0.16). At the beginning of the series, the probability b wins is 0.352, dropping dramatically after a wins the first game.

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The probability that Team B wins the series after Team A wins the first game is 0.4 or 40%.

What is probability?

Probability is a measure or quantification of the likelihood of an event occurring. It is a numerical value assigned to an event, indicating the degree of uncertainty or chance associated with that event. Probability is commonly expressed as a number between 0 and 1, where 0 represents an impossible event, 1 represents a certain event, and values in between indicate varying degrees of likelihood.

To determine the probability that Team B wins the series after Team A wins the first game, we need to consider the different possible outcomes of the remaining games.

Since the series continues until one team wins two games, there are three possible scenarios:

Team A wins the next game (Team A wins the series)

Team B wins the next game, followed by Team A winning the third game (Series tied at 1-1)

Team B wins both the next and third games (Team B wins the series)

We'll calculate the probabilities of these scenarios and then determine the probability of Team B winning the series.

Scenario 1: Team A wins the next game (Team A wins the series):

The probability of Team A winning the next game is 0.6.

Scenario 2: Team B wins the next game, followed by Team A winning the third game (Series tied at 1-1):

The probability of Team B winning the next game is 0.4.

The probability of Team A winning the third game is 0.6.

To calculate the probability of this scenario, we multiply the individual probabilities:

Probability = 0.4 * 0.6 = 0.24

Scenario 3: Team B wins both the next and third games (Team B wins the series):

The probability of Team B winning the next game is 0.4.

The probability of Team B winning the third game is 0.4.

To calculate the probability of this scenario, we multiply the individual probabilities:

Probability = 0.4 * 0.4 = 0.16

To find the probability of Team B winning the series, we add the probabilities of Scenario 2 and Scenario 3 since both outcomes result in Team B winning the series:

Probability = 0.24 + 0.16 = 0.4

Therefore, the probability that Team B wins the series after Team A wins the first game is 0.4 or 40%.

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Answer:

25 workmen

Step-by-step explanation:

C = work completion

Half the number of days

6/5 (= 12/10) the hrs/day

½ × 6/5 × C = ⅗C

C/(⅗C) = 5/3

5/3 × 15 = 25

Answer:

The answer is num 1 I think, 4(x+5)=90

Y = 2*cos(3pi*x) + 5 is the cosine function with a midline of 5, an amplitude of 2, and a frequency of 3/2.

A crucial periodic function in trigonometry is the cosine function.

Utilizing the unit circle will make understanding the cosine function the simplest.

Draw a unit circle on the coordinate plane, center the angle at the origin, and label one side as the positive x-axis for the supplied angle measure.

The point where the other side of the angle intersects the circle has an x-coordinate of cos(), and a y-coordinate of sin().

According to our answer-

B = 2pi/T, where T is the period and T = 1/f is the frequency; T is the period

Determines horizontal phase shift by using

C =determines vertical shift.

When solving the given issue, D = midline = 5

A = amplitude = 2.

B = 2pi/T = 2pi/(2/3) = 3pi since frequency = 3/2 means that the period is T = 2/3, which is the reciprocal of the frequency.

C = 0.

The result of adding everything up is A = 2, B = 3pi, C = 0, and D = 5.

so,

A*cos(B(x-C)) + D = y

y = 2*cos(3pi(x-0)), plus 5.

y = cos(3pi*x) * 2 * + 5

Hence, Y = 2*cos(3pi*x) + 5 is the cosine function with a midline of 5, an amplitude of 2, and a frequency of 3/2.

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Answer:

680,389,364.15pounds

Explanation

Using the conversion

0.00220462g = 1 pound

1,500,000g = x

Cross multiply

0.00220462x = 1,500,000

x = 1,500,000/0.00220462

x = 680,389,364.15

Hence the weight in pounds is 680,389,364.15pounds

We can say with 90% confidence that the increase in proportion of people satisfied with their financial situation is between 1.05% and 6.71%.

To calculate the confidence interval for the increase in proportion of people satisfied with their financial situation, we need to first calculate the proportions for both years:

Proportion in year 1 = 478/2038 = 0.2342
Proportion in year 2 = 537/1967 = 0.2730

The increase in proportion is:
0.2730 - 0.2342 = 0.0388

To calculate the confidence interval, we can use the formula:
CI = (point estimate ± (critical value x standard error))

The point estimate is the increase in proportion we just calculated: 0.0388

The critical value can be found using a z-table for a 90% confidence level. The z-value for a 90% confidence level is 1.645.

The standard error can be calculated using the formula:
sqrt[(p1(1-p1)/n1) + (p2(1-p2)/n2)]

where p1 and n1 are the proportion and sample size for year 1, and p2 and n2 are the proportion and sample size for year 2.

Plugging in the values, we get:
SE = sqrt[(0.2342(1-0.2342)/2038) + (0.2730(1-0.2730)/1967)] = 0.0174

Now we can plug in all the values to get the confidence interval:
CI = (0.0388 ± (1.645 x 0.0174)) = (0.0105, 0.0671)

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Answer:

D I think

Step-by-step explanation:

Answer:

360 > 120 +60n (subtract 120 from both sides)

240> 60n (divide both sides by 60)

4>n ( I always flip it so its the right way)

n< 4 days or B

Step-by-step explanation:

a) 80 sundaes are possible using one flavor of ice cream and three different toppings.

b) 256 sundaes are possible using one flavor of ice cream and any number of toppings from 0 to 6.

c) 4 different combinations of flavors of three scoops of ice cream are possible if all three scoops are the same flavor.

a) To make a sundae with one flavor of ice cream and three different toppings, we need to choose one flavor of ice cream from the four available flavors and choose three toppings from the six available toppings.

The number of ways to choose one flavor of ice cream is 4. The number of ways to choose three toppings from six is the number of combinations of 6 items taken 3 at a time, which is given by the formula:

C(6,3) = 6! / (3! × (6-3)!) = 20

Therefore, the total number of sundaes possible using one flavor of ice cream and three different toppings is:

4 × 20 = 80

b) To make a sundae with one flavor of ice cream and any number of toppings from 0 to 6, we need to choose one flavor of ice cream from the four available flavors and choose any number of toppings from 0 to 6.

The number of ways to choose one flavor of ice cream is 4. The number of ways to choose any number of toppings from 0 to 6 is the sum of the number of combinations of toppings taken 0 at a time, 1 at a time, 2 at a time, up to 6 at a time. This is given by the formula:

∑(k=0 to 6) C(6,k)

Using the formula for the sum of binomial coefficients, we get:

∑(k=0 to 6) C(6,k) = 2^6 = 64

Therefore, the total number of sundaes possible using one flavor of ice cream and any number of toppings from 0 to 6 is:

4 × 64 = 256

c) To make a sundae with three scoops of the same flavor of ice cream, we need to choose one flavor of ice cream from the four available flavors.

The number of ways to choose one flavor of ice cream is 4.

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The volume of the box is given by:

V = lwh

where l = 10 cm, w = 16 cm, and h = 5 cm.

The differential of V with respect to l is:

dV = (wh)dl + (lh)dw + (lw)dh

The differential of V with respect to w is:

dV = (lh)dw + (lw)dh + (wh)dl

The differential of V with respect to h is:

dV = (lw)dh + (wh)dl + (lh)dw

Using the maximum error of 1 mm for each measurement, we have:

dl = 0.1 cm

dw = 0.1 cm

dh = 0.1 cm

Substituting these values into the differentials above, we get:

dV ≈ (wh)(0.1) + (lh)(0.1) + (lw)(0.1)

dV ≈ (16 cm x 5 cm)(0.1) + (10 cm x 5 cm)(0.1) + (10 cm x 16 cm)(0.1)

dV ≈ 8 cm^2 + 5 cm^2 + 16 cm^2

dV ≈ 29 cm^2

Therefore, the maximum error in the calculated volume of the box is approximately 29 cm^3.

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Answer:

20%

Step-by-step explanation:

Percentage decrease is calculated as

\(\frac{decrease}{original}\) × 100%

decrease = 80 - 64 = 16 , then

percent decrease = \(\frac{16}{80}\) × 100% = 0.2 × 100% = 20%

Answer:

number 1 i think if not then 4

Answer:

#3

Step-by-step explanation:

We can't prove any of the others

#3 is stated a bunch of times in the text

They go into dormancy when life gets hard

Answer:

Step-by-step explanation:

The angle of elevation of the 23​-foot ​ramp, to the nearest tenth of a​ degree, if its final height is 5 feet is 12.6°.

What is Sine?

The Sine or Sinθ in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

this is where

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

We know that the length(Hypotenuse) of the ramp is 23 feet, while the height(Perpendicular) of the ramp is 5 feet. Thus, using the Sine function of the trigonometry can be written as,

so,the angle of elevation of the 23​-foot ​ramp, to the nearest tenth of a​ degree, if its final height is 5 feet is 12.6°.

Answer:

George = 10 + 0.5x

Carlee = 13 + 0.25x

Step-by-step explanation:

Let x be the amount they manufacture, each time they make an object, their pay will increase by the set amount meanwhile the 10 and 13 are a set amount of pay that they will receive.

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.

Herein we have a situation where two people have different ages, Fatimah has an age such that she is 3 years younger than Nadia. Let be x and y variables that respesent the ages of Fatimah and Nadia, respectively. In summary, the word problem can be reduced into the following algebraic expression:

y - x = 3 (Expression that represents age difference between Fatimah and Nadia)

x + 3 = y, where x, y > 0 and y > x. (1)

The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.

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If the dimension of the cubicle is 7 ft by 8 ft by 5 ft. Then the volume of the cubicle will be 280 cubic feet.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

An office cubicle measures seven feet by eight feet with a five-foot wall.

Then the volume of the cubicle will be

The volume is given as

Volume = length x width x height

We have

Volume = 7 x 8 x 5

Volume = 280 cubic feet

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When we look for the constant rate of change, we subtract the first two y-values in the first place:

Joe can afford a car loan of approximately $12,944.

To determine the loan amount Joe can afford, we need to calculate the present value of the continuous monthly payments he can make. Joe can pay $360 per month for 4 years, which amounts to a total of 4 * 12 = 48 payments.

The formula to calculate the present value of continuous payments is given by:

PV = (PMT / r) * (1 - e^(-rt))

Where:

PV is the present value of the continuous payments,

PMT is the monthly payment amount,

r is the annual interest rate, and

t is the loan term in years.

Substituting the given values, we have:

PMT = $360,

r = 0.125 (12.5% expressed as a decimal),

t = 4.

Plugging in these values, we can calculate the present value:

PV = (360 / 0.125) * (1 - e^(-0.125 * 4))

Using a calculator or spreadsheet, we find that the present value is approximately $12,944. Therefore, Joe can afford a car loan of approximately $12,944 and still make monthly payments of $360 for 4 years.

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To find the probability of drawing a 9 or a king from a well-shuffled deck of 52 cards, we need to determine the number of favorable outcomes and the total number of possible outcomes.

There are four kings in a deck (one king for each suit: hearts, diamonds, clubs, and spades), and there are four 9s in a deck (one 9 for each suit). However, one card (the king of hearts) is both a king and a 9. Therefore, we need to subtract this overlapping card from our count to avoid counting it twice.

The number of favorable outcomes (drawing a 9 or a king) is 4 (number of kings) + 4 (number of 9s) - 1 (overlapping card) = 7.

The total number of possible outcomes is 52 (since there are 52 cards in a deck).

Now, we can calculate the probability using the formula:

\(\[P(\text{{9 or king}}) = \frac{{\text{{Number of favorable outcomes}}}}{{\text{{Total number of possible outcomes}}}}\]\)

\(\[P(\text{{9 or king}}) = \frac{7}{52}\]\)

This fraction cannot be further simplified since 7 and 52 do not share any common factors other than 1.

Therefore, the probability of drawing a 9 or a king from a well-shuffled deck of 52 cards is \(\( \frac{7}{52} \)\).

In LaTeX, the solution can be represented as:

\(\[P(\text{{9 or king}}) = \frac{7}{52}\]\)

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The transformation did Ben perform to create P'QʻR'S is O Rotation of 90° counterclockwise about the origin.

The transformation performed by Ben to create P'QʻR'S' is a Rotation of 90° counterclockwise about the origin.

Here are the given coordinates of the vertices of the original figure, PQRS: P(-6,-3), Q(-3,-1), R(-6,1), and S(-3,3).

To perform the transformation, Ben rotated the given figure 90° counterclockwise about the origin.

The origin is the point (0,0). Below are the coordinates of the new vertices, P'QʻR'S', of the figure: P'(3,-6), Q'(1,-3), R'(1,-6), and S'(3,-3).

Therefore, Ben performed a Rotation of 90° counterclockwise about the origin to create P'Q'R'S.

Hence, the correct answer is:

O Rotation of 90° counterclockwise about the origin

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