2 If the probability that it will rain tomorrow is what is the probability that it will not rain tomorrow?

Answer:

3% of the figure is shaded

Fraction: 3/10

Decimal: 0.3

Hope this helped

a)  The Cartesian equation of the curve is x^2 + y^2 = 9, which is the equation of a circle with center at the origin and radius 3.

b) The length of the curve is approximately 0.891 units.

a) To eliminate the parameter, we can use the identity sin2t + cos2t = 1 to solve for t in terms of x and y. We have:

x = 3sin(t)

y = 3cos(t)

Squaring both sides of each equation and adding them gives:

x^2 + y^2 = 9(sin^2(t) + cos^2(t)) = 9

Thus, the Cartesian equation of the curve is x^2 + y^2 = 9, which is the equation of a circle with center at the origin and radius 3.

b) To find the length of the curve, we use the arc length formula:

\(L = ∫√(dx/dt)^2 + (dy/dt)^2 dt\)

where the integral is taken over the interval [0, 1].

From the given parametric equations, we have:

dx/dt = 3

dy/dt = 3t^(1/2)

Substituting these into the arc length formula and evaluating the integral, we get:

L = ∫0^1 √(3^2 + (3t^(1/2))^2) dt

= ∫0^1 √(9 + 9t) dt

= ∫0^1 3√(1 + t) dt

= [2(1 + t)^(3/2)/3]_0^1

= 2/3(2^(3/2) - 1)

Thus, the length of the curve is approximately 0.891 units.

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The composite function f (ƒ-¹ (5)) is 5

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

f(x) = (x + 10)/5

Also, we have

f-¹ (x) = 5x - 10

The composite function f (ƒ-¹ (5)) is calculated as

f (ƒ-¹ (x)) = (5x - 10 + 10)/5

Evaluate the difference

f (ƒ-¹ (x)) = 5x/5

So, we have

f (ƒ-¹ (x)) = x

Substitute 5 for x

f (ƒ-¹ (5)) = 5

Hence, the solution is 5

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Complete question

Use the given function to find the following.

f(x) = (x + 10)/5

f-¹ (x) = 5x - 10

Find f (ƒ-¹ (5)). (no spaces)

Answer: 45

Step-by-step explanation:

Answer:

C) 0.179

Step-by-step explanation:

Since the trials are independent, this is a binomial distribution:

Recall:

Given:

Calculate:

Therefore, the probability that the archer will get exactly 4 bull's-eyes with 10 arrows in any order is 0.179

Answer:

1/4

Step-by-step explanation:

Use the equation of a line from 2 points.

Therefore, we would need to obtain at least 9604 grade-point averages to ensure that the sample mean is within 0.02 of the population mean with 95% confidence.

To determine the required sample size, we need to use the formula n = [(z * σ) / E]^2, where z is the z-score for the desired level of confidence (e.g. 1.96 for 95%), σ is the standard deviation of the population (which we don't know, so we can use a conservative estimate of 1), and E is the desired margin of error (0.02 in this case). Plugging in these values, we get n = [(1.96 * 1) / 0.02]^2 = 9604. So we would need to obtain at least 9604 grade-point averages to ensure that the sample mean is within 0.02 of the population mean with 95% confidence.
To determine the required sample size for standardizing grade point averages on a scale between 0 and 4 with a margin of error of 0.02, we can use the formula n = [(z * σ) / E]^2, where z is the z-score for the desired level of confidence, σ is the standard deviation of the population, and E is the desired margin of error. Assuming a 95% confidence level and a conservative estimate of σ = 1, we find that we would need at least 9604 grade-point averages to ensure that the sample mean is within 0.02 of the population mean.

Therefore, we would need to obtain at least 9604 grade-point averages to ensure that the sample mean is within 0.02 of the population mean with 95% confidence.

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Answer:

she can paint 6 rooms.

Step-by-step explanation:

1/2 x 3= 6 litters

Answer:

it would be C≈13.19cm

hope this helps :)

The general solution of the given differential equation is the sum of the complementary solution and the particular solution:

y(t) = y_c(t) + y_p(t)

= C1e^t + C2e^(-t) - sin(2t)

where C1 and C2 are arbitrary constants.

This is the general solution of the given differential equation.

To find the general solution of the given differential equation y'' - y = 7sin(2t) - tcos(2t), we can use the method of undetermined coefficients.

Step 1: Find the complementary solution:

We first find the solution to the homogeneous equation y'' - y = 0. The characteristic equation is r^2 - 1 = 0, which has roots r = 1 and r = -1. Therefore, the complementary solution is y_c(t) = C1e^t + C2e^(-t), where C1 and C2 are arbitrary constants.

Step 2: Find the particular solution:

We need to find a particular solution to the non-homogeneous equation y'' - y = 7sin(2t) - tcos(2t). Since the right-hand side of the equation contains sin(2t) and tcos(2t), we assume a particular solution of the form:

y_p(t) = A sin(2t) + B t cos(2t)

Differentiating twice:

y_p''(t) = -8A sin(2t) - 8B t sin(2t) - 4B cos(2t)

Substituting y_p(t) and y_p''(t) into the original differential equation:

(-8A sin(2t) - 8B t sin(2t) - 4B cos(2t)) - (A sin(2t) + B t cos(2t)) = 7sin(2t) - tcos(2t)

Rearranging terms and grouping like terms:

(-7A - 8B t) sin(2t) + (-t - 4B) cos(2t) = 7sin(2t) - tcos(2t)

By comparing coefficients, we have the following equations:

-7A - 8B t = 7 (equation 1)

-t - 4B = -t (equation 2)

From equation 2, we can solve for B:

-4B = 0

B = 0

Substituting B = 0 into equation 1, we can solve for A:

-7A = 7

A = -1

Therefore, the particular solution is y_p(t) = -sin(2t).

Step 3: Find the general solution:

The general solution of the given differential equation is the sum of the complementary solution and the particular solution:

y(t) = y_c(t) + y_p(t)

= C1e^t + C2e^(-t) - sin(2t)

where C1 and C2 are arbitrary constants.

This is the general solution of the given differential equation.

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Answer:

It’s either A OR B

Step-by-step explanation:

Answer:

C,D, and E

Step-by-step explanation:

-29/4 is an improper fraction version of -7 1/4

-7- 1/4 = -7 1/4

-(7 + 1/4) is -29/4

Just make -29/4 into a mixed number, which is -7 1/4

Answer:

Step-by-step explanation: the answer is the last 3 ones because if you add them together, you get -7 1/4.  Remember that -(number) = -1(number). So, -(1) = -1(1).

The expression √180 * 2√30 is equivalent to the expression 60√6

An equation is an expression that shows the relationship between two numbers and variables.

The square root is a factor of a number that, when multiplied by itself, gives the original number.

Given the expression √180 * 2√30

Collecting like terms give:

= 2√(180 * 30)

Simplifying:

= 60√6

The expression √180 * 2√30 is equivalent to the expression 60√6

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Answer:

the total amount after 3 year's with an interest rate of 1.5% should be $8,365.427

Answer:

1: below its initial height.

2: if Jimmy has 20 balls and Chris take 15,how many balls does Jimmy have?

3: I would want Mrbeast to be the President because he would help everyone.

the firm has a total asset turnover of 0.6, which means that for every $1 of total assets, the firm generates $0.6 in sales. This ratio indicates the firm's efficiency in utilizing its assets to generate revenue

Total asset turnover is a financial ratio that measures a company's efficiency in generating sales from its total assets. It is calculated by dividing the total sales by the average total assets. In this case, the firm has $600,000 in sales and total assets of $1 million.

Total Asset Turnover = Total Sales / Average Total Assets

To calculate the average total assets, we sum the beginning and ending total assets and divide by 2:

Average Total Assets = (Beginning Total Assets + Ending Total Assets) / 2

Given that the firm's total assets are $1 million, the average total assets would also be $1 million.

Plugging in the values into the total asset turnover formula:

Total Asset Turnover = $600,000 / $1,000,000 = 0.6

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9514 1404 393

Answer:

  A.  105°

Step-by-step explanation:

The external angle at Z is the supplement of the internal angle at W.

  Z = 180° -75° = 105°

  ∠XZY = 105°

To cover the square floor with a side length of 8xcubedysquared units using square tiles with a side length of xy units, it will take (64xy^2)/(8xcubedysquared) tiles.

The area of the floor can be calculated by squaring the side length of the floor:

Area of the floor = (8xcubedysquared)^2 = 64x^2(cubedysquared)^2 = 64x^2(cubedysquared)(cubedysquared)

The area of each tile is given by squaring the side length of the tile:

Area of each tile = (xy)^2 = x^2y^2

To determine the number of tiles required to cover the floor, we divide the area of the floor by the area of each tile:

Number of tiles = (Area of the floor) / (Area of each tile) = (64x^2(cubedysquared)(cubedysquared)) / (x^2y^2) = (64xy^2) / (8xcubedysquared)

Thus, it will take (64xy^2)/(8xcubedysquared) tiles to cover the square floor.

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Step-by-step explanation:

Depends on what the question if th question is how many more tables she need the answer is 1 if it asked how many ppl sit and each table 5 ppl and 12 tables and 1 at the last table other than that in confussed

Hello !

it is an equilateral triangle (3 equal sides). In an equilateral triangle the angles are all equal so a = b = c.

The sum of the angles of a triangle is always equal to 180°.

so a = b = c = 180°/3 = 60°

it is an equilateral triangle (3 equal sides). In an equilateral triangle the angles are all equal so a = b = c.

A straight angle measures 180°, so b = 180° - 120° = 60°.

so a = b = c = 60°

Answer:

Step-by-step explanation:

This is an equilateral triangle (all angles are equal).

Angles in a triangle add up to 180°.

           \(a=b=c=\frac{180}{3} =60\)

Given :

When 7 is subtracted from five times a number, the result is greater than twice the sum of the number and 4.

To Find :

All the numbers that satisfy the inequality.

Solution :

Let , the number is x .

Mathematical expression for first term is :

5x - 7

Mathematical expression for second term is :

2(x + 4)

Now , comparing both the expression by given constrain.

\(5x - 7 > 2(x + 4)\\\\5x-7>2x+8\\\\3x>15\\\\x>5\)

So, all the numbers that satisfy the inequality are greater than 5.

Hence , this is the required solution.

The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.

Answer:

1) 8      2) 12

Step-by-step explanation:

Answer:

your answer is

1) 8      
2) 12

Hope it’s helps you Buddy

Step-by-step explanation:

~Zayn

Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.

Given:

At the local dairy farm, kareem buys a 32-oz container of yogurt for $2. 56. Jonah buys a 6-oz container of yogurt for $0. 48.

y varies directly as x :

y = kx

k = constant of proportionality

y = 2.56 and x = 32

y = kx

k = y/x

= 2.56/32

k = 0.08

substitute k we get

y = 0.08x.

so x and y are directly proportional.

Therefore Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.

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Answer:

477

Step-by-step explanation:

Answer:

half of 8 is 4

4^4 = 16

16 x 3.14 = 50.24 (area of a circle)

Now we multiply it by the height:

50.24 x 19 = 954.56 rounded to the nearest hundredths place is:

954.56 yd3 is your answer.

Answer:

\(\frac{-7}{10}\ or \ 0.7\)

Step-by-step explanation:

step 1.

\(\frac{1}{3} (\frac{-6}{4}-\frac{1}{2}(\frac{6}{5}))\)

step 2.

put it in a calculator

step 3

=\(\frac{-7}{10}\ or \ 0.7\)

Answer:

Answer choice : 3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

59 - 44 + 1 = 16.

16/59

Please mark as brainliest!

Answer:

D

Step-by-step explanation:

count 44,45,46... , then count how many numbers you counted

Answer:

start from 0 then move left 1=(-1) down 1=(-1)