You buy a costume for $250 and fifty pieces of candy
that each cost the same amount. You spend a total of
$270. What is the price of each piece of candy?

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Answer:

I believe it's A and D.

If I helped you're welcome. If I didn't I'm sorry.

Answer:

A and D

Step-by-step explanation:

im not too good on fractions but hopefully its right

Given statement solution is :- It  would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.

Given:

Every 2 centimeters on the floor plan represents 1 meter of the house.

Dining Room:

On the floor plan, the dining room is 8 cm by 10 cm.

Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.

The area of the dining room is 4 meters * 5 meters = 20 square meters.

Bedroom:

On the floor plan, the bedroom is 6 cm by 10 cm.

Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.

The area of the bedroom is 3 meters * 5 meters = 15 square meters.

Now, let's calculate the costs.

Cost of Tile:

The cost of installing tile is $34 per square meter.

The area of the dining room is 20 square meters.

Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.

Cost of Carpet:

The cost of installing carpet is $21 per square meter.

The area of the bedroom is 15 square meters.

Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.

Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

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Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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Answer:

If they are divisible by the numbers in the original shape, then try and see if the others sides of the scaled copy are scaled by the same factor. If they are, then they are a scaled copy.

Step-by-step explanation:

Answer:

  37.5%

Step-by-step explanation:

The amount of paint in the mix can be found from the given information. That can then be used to find the percentage of red paint in the mix.

Of the 20 quarts of original mixture, 25% are red paint. The number of quarts of red paint in that mixture is ...

  25% × 20 qt = 5 qt

After 4 quarts of red paint are added, there will be

  5 qt + 4 qt = 9 qt . . . . volume of red paint

  20 qt + 4 qt = 24 qt . . . . volume of new mixture

The percentage of new mixture that is red paint is the fraction, multiplied by 100%.

  \(\dfrac{9\text{ qt}}{24\text{ qt}}\times100\% = \dfrac{3}{8}\times100\%=\boxed{37.5\%}\)

37.5% of the new mixture is red paint.

__

Additional comment

6 quarts of yellow paint comprise 25% of the new mixture; 9 quarts of water comprise 37.5% of the new mixture.

Answer:

1 goes in the thousands place in the second number.

Step-by-step explanation:

In the first pomegranate, the 1 is in 314, so it is in the tens place.

In the second pomegranate, the value of the 1 is 100 times the value of the 1 in the first pomegranate, so since 100 × 10 = 1000, it must be in the thousands place. Therefore, the number of seeds in the second pomegranate is 1abc, where 1 is in the thousands place, and abc represent the digits 3,4, and 6, but we do not know in which order.

Answer:

0.6kg

Step-by-step explanation:

working out how much rice has been used in 4 days:

0.6kg × 4 = 2.4kg

rice left over after 4 days:

3kg - 2.4kg = 0.6kg

Answer:

0.5 (any number between 0 and 1)

Step-by-step explanation:

34 * 0.5 = 17

34 > 17 > 0

The actual probability histogram of how frequently we win will roughly follow the normal curve as both the number of games we play and the number of simulations we run increase.

The central limit theorem states that under certain conditions, the probability distribution of the sum (or average) of a large number of independent and identically distributed random variables will approach a normal distribution.

In the case of roulette, if we bet $5 on even numbers and count the number of times we win after a large number of bets, this corresponds to a sum of a large number of independent Bernoulli trials, each with probability p of success (winning on an even number). Therefore, if we want the true probability histogram of the number of times we win to approximately follow the normal curve, we need to ensure that the conditions of the central limit theorem are met.

One way to do this is to increase the number of times we play (i.e., the number of independent Bernoulli trials). As the sample size increases, the distribution of the sample mean (i.e., the proportion of wins) will become more normal.

Another way to achieve this is to increase the number of simulations used to approximate the probability histogram. The more simulations we run, the closer the probability histogram will be to the true underlying distribution. Moreover, as the number of simulations increases, the central limit theorem ensures that the distribution of the sample mean will converge to a normal distribution.

Therefore, both increasing the number of times we play and increasing the number of simulations will have the effect of making the true probability histogram of the number of times we win approximately follow the normal curve.

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The median, mean, range and mode will be 6, 5.4, 9 and 7.

What is median?

The median is the middle number in the data set when the data set is written from least to greatest.

The median is the number in the middle when arranged in an ascending order. The numbers will be:

0, 3, 4, 6, 6, 7, 7, 7, 9.

The median is 6.

The range is the difference between the highest and lowest number which is: = 9 - 0 = 9

The mode is the number that appears most which is 7.

The mean will be the average which will be:

= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.

= 49/9

= 5.4

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Using the normal approximation to the binomial distribution, the probabilities are given as follows:

a. 0.2236 = 22.36%.

b. 0.1295 = 12.95%.

The z-score of a measure X of a normally distributed variable that has mean given by \(\mu\) and standard deviation represented by \(\sigma\) is given as follows:

\(Z = \frac{X - \mu}{\sigma}\)

For the binomial distribution, the parameters are given as follows:

n = 42, p = 0.819.

Hence the mean and the standard deviation for the normal approximation are given by:

Using continuity correction, the probability that fewer than 33 flights will arrive on time is P(X < 32.5), which is the p-value of Z when X = 32.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (32.5 - 34.398)/2.495

Z = -0.76.

Z = -0.76 has a p-value of 0.2236.

There is a 0.2236 = 22.36% probability that fewer than 33 flights will arrive on time.

For item b, the probability is the p-value of Z when X = 36.5 subtracted by the p-value of Z when X = 35.5, hence:

X = 36.5:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (36.5 - 34.398)/2.495

Z = 0.84.

Z = 0.84 has a p-value of 0.7995.

X = 35.5:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (35.5 - 34.398)/2.495

Z = 0.44.

Z = 0.44 has a p-value of 0.67.

Then:

0.7995 - 0.67 = 0.1295.

There is a 0.1295 = 12.95% probability that exactly 36 flights will arrive on time.

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Answer:

0.1616 = 16.16% probability that exactly 3 devices broke down if it is known that at least 1 device broke down

Step-by-step explanation:

To solve this question, we use both the binomial distribution and conditional probability.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

Find the probability that exactly 3 devices broke down if it is known that at least 1 device broke down

So, by the conditional probability:

Event A: At least 1 device broke down.

Event B: Exactly 3 devices broke down.

The solution will be found by the conditional probability formula, and the probabilities will be found using the binomial distribution.

There are 10 devices. Every device independently breaks down with probability 0.15.

This means that \(n = 10, p = 0.15\)

Probability of at least 1 device breaking down:

This is:

\(P(A) = P(X \geq 1) = 1 - P(X = 0)\)

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{10,0}.(0.15)^{0}.(0.85)^{10} = 0.1969\)

So

\(P(A) = P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1969 = 0.8031\)

Intersection of events A and B:

The intersection between at least one breaking down, and exactly three is exactly three. So

\(P(A \cap B) = P(X = 3) = C_{10,3}.(0.15)^{3}.(0.85)^{7} = 0.1298\)

Probability:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1298}{0.8031} = 0.1616\)

0.1616 = 16.16% probability that exactly 3 devices broke down if it is known that at least 1 device broke down

1. My Russian is a bit rusty. I think you're asking to find the antiderivatives in the first part:

а) \(\displaystyle \int 2x^n - 5x \, dx = \boxed{\frac2{n+1} x^{n+1} - \frac52 x^2 + C}\)

This follows from the power rule for differentiation,

\(\dfrac d{dx} x^n = n x^{n-1}\)

I'm not sure what the power on the first term is, so I just use a general real number n. This solution is correct as long as n ≠ -1; otherwise we would have

\(\displaystyle \int 2x^{-1} - 5x = 2\ln|x| - \frac52 x^2 + C\)

б) Using the fact that

\(\dfrac d{dx} \sin(x) = \cos(x)\)

as well as the power rule from part (a),

\(\displaystyle \int 3 \cos(x) - x \, dx = \boxed{3 \sin(x) - \frac12 x^2 + C}\)

в) By the chain rule,

\(\dfrac d{dx} \sin(5x) = 5 \cos(5x)\)

\(\dfrac d{dx} \cos(3x) = -3 \sin(3x)\)

Hence

\(\displaystyle \int \cos(5x) - \frac16 \sin(3x) \, dx = \boxed{\frac15 \sin(5x) + \frac1{18} \cos(3x) + C}\)

2. These just look like standard definite integrals. Using the known derivatives mentioned in part (1) in conjunction with the fundamental theorem of calculus, we have

a)

\(\displaystyle \int_0^1 x^2 \, dx = \frac13 x^3 \bigg|_{x=0}^{x=1} = \frac13 (1^3 - 0^3) = \boxed{\frac13}\)

б)

\(\displaystyle \int_0^{\frac\pi2} \sin(x) \, dx = -\cos(x) \bigg|_{x=0}^{x=\frac\pi2} = -\left(\cos\left(\frac\pi2\right) - \cos(0)\right) = \boxed{1}\)

Answer:

-72

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

12(6 - 12)

Step 2: Evaluate

Answer:

-72 i think. sorry if im wrong... pls mark this as brainliest if i am right! thx

Step-by-step explanation:

have a good day! :)

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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The two monomials whose greatest common factor is 3x are; 6x and 9x

A monomial is defined as a polynomial, that has just only one term. A monomial is also said to be an algebraic expression with just a single term but then it can have multiple variables and a higher degree as well.

Now, we want to find two monomials whose greatest common factor is 3x.

The GCF(greatest common factor) is defined as the largest number that is a factor of two or more numbers. Thus, two monomials with GCF of 3x are 6x and 9x

To know if the two monomials would have the GCF of 3x, factor the monomials to get;

6x = 2 * 3 * x

9x = 3 * 3 * x

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Answer:

84.37 %.

Step-by-step explanation:

The question is shown in the attached figure.

We have,

\(f(t)=2t^3+10,\ t=3\)

We can find the value of f(t) at t = 3,

\(f(3)=2(3)^3+10\\\\f(3)=64\)

Finding f'(t).

\(f'(t)=6t^2\)

Finding f'(t) at t = 3

\(f'(3)=6(3)^2\\\\=54\)

The relative change is calculated as :

\(\dfrac{f'(t)}{f(t)}=\dfrac{54}{64}\\\\=0.8437\)

In percentage rate of change,

\(\dfrac{f'(t)}{f(t)}=0.8437\times 100\\\\=84.37\%\)

Hence, the required percent change is 84.37 %.

Answer:

No

Step-by-step explanation:

y = -2x + 5

4 = -2(-3) + 5 - Substitute both x and y

4 = 6 + 5 - Simplify

4 ≠ 11

Hence, no, (-3, 4) doesn't statify the equation y = -2x + 5

9514 1404 393

Answer:

  (3/2π -(9/4)√3) m² ≈ 0.8 m²

Step-by-step explanation:

The area of the segment is the difference between the area of the sector and the area of the triangle.

  sector area = 1/2r²α . . . . where r is the radius and α is the central angle in radians

  triangle area = 1/2r²·sin(α) . . . . same variable definitions

Then the area of the segment is ...

  segment area = sector area - triangle area

  segment area = (1/2)r²(α -sin(α))

The central angle subtended by the segment is 360° -300° = 60° = π/3 radians

Then the segment area is ...

  A = (1/2)(3 m)²(π/3 -√3/2) = (3/2π -(9/4)√3) m² ≈ 0.8 m²

Answer:

Sorry can't do this

Step-by-step explanation:

Answer:

uhhhhhhhhhhhhhhhhhhhhhhhhh 4

Step-by-step explanation:

Answer:

A=40.8 B=8

Step-by-step explanation:

A Explanation

£7.20*3=£21.6

£9.60*2=£19.2

19.2+21.6=40.8

B Explanation

£9.60*3=£28.8

86.40-28.8=57.6

57.6/7.20=8

Answer:

0.9851 = 98.51% probability that the person is actually infected.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test

Event B: Infected

Probability of a positive test:

99% of 25%(People have the disease).

0.5% of 100 - 25 = 75%(People do not have the disease). So

\(P(A) = 0.99*0.25 + 0.005*0.75 = 0.25125\)

Probability of a positive test and being infected:

99% of 25%, so:

\(P(A \cap B) = 0.99*0.25 = 0.2475\)

What is the probability that the person is actually infected?

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2475}{0.25125} = 0.9851\)

0.9851 = 98.51% probability that the person is actually infected.

A student attempted to use similar triangles to determine the missing side length suggested by x , leading to the value of x being 2.

A closed triangle is a two-dimensional object with three angles and three straight sides. By joining three non-collinear lines, it is created. A triangle's three sides always add up to 180 degrees. In a right triangle, the hypotenuse, which is the longest edge, is located on the side opposite the largest angle. Triangles can be categorized as equilateral, isosceles, scalene, acute, right, and obtuse depending on the length of their sides and the size of their angles. In geometry and trigonometry, triangles are frequently used to analyze shapes and angles.

given

6/3 = 4/x

3*6x/3 = 4*3

= 6x /6 = 12/6

= x =2

A student attempted to use similar triangles to determine the missing side length suggested by x , leading to the value of x being 2.

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The answer to this Question based on website is

What is website?

It is form of storage of information in well ordered way

Solution:

As we know she earns 0.75$ per set she sells in her website

and she sold 8 sets

hence total money he could earned = 8*0.75 = $6

but she made only = 2.25$ because remaining money she paid as website fee which was 6 - 2.25 = 3.75$

hence each week she has to pay 3.75$ as website fee so we can calculate his profit equation as follows

profit = 0.75x - n/7(3.75)

where x is no of sets sold on website and n is number of weeks in which these sets were sold

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The equation obtained without the absolute value for given function

y = |x-3| + |x +2|-|x - 5| is y = 2.

Without taking into account direction, absolute value describes how far a number is from zero on the number line. A number's absolute value can never be negative. Have a look at these samples.

The given equation:

y = |x-3| + |x +2|-|x - 5|

For x = 3

y = |3-3| + |3+2|-|3 - 5|

y = 0 + |5| - |-3|

Without absolute values:

y = 5 - 3

y = 2

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Answer:

Step-by-step explanation:

Done

Answer:

15 liters

Step-by-step explanation:

60/480= 0.125

0.125*360= 45

60-45= 15