Solve
5.27*0.01(2.1)

Answer:

a. 6

Step-by-step explanation:

Answer:

\(\theta=\dfrac{\pi }{3}\\\\\theta=\dfrac{5\pi }{3}\)

Step-by-step explanation:

\(\theta = x\)

\(5-4 \sec (\theta) = -3\)

\(-4 \sec (\theta) = -3-5\)

\(-4 \sec (\theta) = -8\)

\(\dfrac{-4 \sec (\theta)}{-4} =\dfrac{-8}{-4}\)

\(\sec (\theta)=2\)

Once

\(\sec(\theta)=\dfrac{1}{\cos(\theta)}\)

\(\sec (\theta)=2 \implies \dfrac{1}{\cos(\theta)}=2 \implies \cos(\theta)=\dfrac{1}{2}\)

The solutions for \(\cos(\theta)=\dfrac{1}{2}\) are

\(\theta=\dfrac{\pi }{3}+2\pi n, n \in \mathbb{Z}\\\\\theta=\dfrac{5\pi }{3}+2\pi n, n \in \mathbb{Z}\)

But once the interval for the solution was given,

For \([0, 2\pi)\)

\(\theta=\dfrac{\pi }{3}\\\\\theta=\dfrac{5\pi }{3}\)

Answer:

.004

Step-by-step explanation

8 tosses results in 2^8 = 256 possible combinations

    only ONE is  all heads  

    1/256 = ~.004

Answer:

0.004

Step-by-step explanation:

the probability of landing on heads for each time does not depend on what you landed on the first time, therefore the equation is just 0.5^8, which is equal to 0.0039...

Answer:

A

Step-by-step explanation:

hope this helps! :) Hope you have. a great day

The graph of the function is attached

The amplitude and the period are 5 and 2π

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

f(x) = 5cos(θ)

A sinusoidal function is represented as

f(x) = Acos(B(x + C)) + D

Where

So, we have

A = 5

Period = 2π/1

Evaluate

A = 5

Period = 2π

Hence, the amplitude is 5 and the period is 2π

The graph of the function is attached

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The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.

Step-by-step explanation:

First, 40 percent of 1250 = 750

20 percent of 750 = 600

I don't know if this is correct I just did what my mind said sooo

Answer:p=7

Step-by-step explanation:4x7=28

First, people with higher incomes pay larger amounts because their taxable income is larger. Second, because the tax rate increases as taxable income increases, higher-income people pay a greater proportion of their income in taxes as well.

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Step-by-step explanation:

If the parabola has the form

\(y = a(x - h)^2 + k\) (vertex form)

then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

\(y = \dfrac{1}{6}(x - 8)^2 + 6\)

is located at the point (8, 6).

To find the length of the parabola's latus rectum, we need to find its focal length f. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

\(\text{focus} = (h, k +\frac{1}{4a})\)

where \(\frac{1}{4a}\) is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length f is

\(f = \dfrac{1}{4(\frac{1}{6})} = \dfrac{3}{2}\)

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

\(\text{latus rectum} = 4\left(\dfrac{3}{2}\right) = 6\)

Answer:

♥Love You♥ DUDE

Step-by-step explanation:

Answer:

\(\frac{2}{3}\)

Step-by-step explanation:

The equation for slope is:

\(Slope = \frac{y_2-y_1}{x_2-x_1}\)

We can plug the given coordinates into the equation:

\(Slope = \frac{0-2}{-4-(-1)}=\frac{-2}{-4+1}=\frac{-2}{-3}=\frac{2}{3}\)

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer:

-4

Step-by-step explanation:

y=2-9×(2/3)=2-6= -4

Answer:

pleae do my problem and ill help u

how many one and one fourths are in four and one half

Step-by-step explanation:

Answer:

A)

c = 0.20m + 144

Where c is total cost and m is miles driven.

B)

c = (200 + 0.20m) + 144

C)

174 = 0.20m + 36x4

174 = 0.20m + 144

30 = 0.20m

30/0.20 = m

m = 150+200

m = 350miles

Hope that helps

Given:

Nancy decides to roll a dice three times.

To find:

The probability that she will roll all even numbers.

Solution:

If a dice is rolled, then the possible numbers are

Total number = {1,2,3,4,5,6} = 6

Even numbers = {2,4,6} = 3

Odd numbers = {1,3,5} = 3

Probability of getting an even number \(=\dfrac{\text{Even number}}{\text{Total numbers}}\)

\(P(\text{Even})=\dfrac{3}{6}\)

\(P(\text{Even})=\dfrac{1}{2}\)

So, probability of getting all even numbers is

\(P(\text{All even})=P(\text{Even})\times P(\text{Even})\times P(\text{Even})\)

\(P(\text{All even})=\dfrac{1}{2}\times \dfrac{1}{2}\times \dfrac{1}{2}\)

\(P(\text{All even})=\dfrac{1}{8}\)

Therefore, the required probability is \(P(\text{All even})=\dfrac{1}{8}\).

The probability that Nancy will roll all even numbers will be:

"\(\frac{1}{8}\)".

According to the question,

Number of times dice rolled = 3

Total numbers = {1, 2, 3, 4, 5, 6}

                        = 3

Even numbers = {2, 4, 6}

                        = 3

Odd numbers = {1, 3, 5}

                       = 3  

Now,

The probability of getting even numbers will be:

= \(\frac{Even \ numbers}{Total \ numbers}\)

= \(\frac{3}{6}\)

= \(\frac{1}{2}\)

hence,

The required probability be:

= P(Even) × P(Even) × P(Even)

= \(\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\)

= \(\frac{1}{8}\)

Thus the above answer is correct.

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Answer:

I think it is yes.

Step-by-step explanation:

the pipeline needs to be extended by approximately 40,020 km.

What are Distance?

The distance an object travels in athe predetermined period of time. Here is a word equation that illustrates the connection between space, speed, and time: velocity is calculated by dividing the total Distance traveled by the journey time.

To find the additional length of the pipeline needed to raise it by 10 km at each point, we need to calculate the length of the new circle formed by the pipeline.

The radius of the Earth is 6371 km, and we want to raise the pipeline by 10 km at each point. This means that the new radius of the Earth will be 6371+10 = 6381 km.

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. So the circumference of the new circle formed by the pipeline will be:

C = 2π(6381) = 40,075 km

The original length of NorNed is 580 km. To find out how many times longer the new pipeline needs to be, we divide the new circumference by the original length:

40,075 km / 580 km ≈ 69.2

So the pipeline needs to be extended by approximately 69 times its original length.

To find the additional length of the pipeline needed, we subtract the original length of 580 km:

69 × 580 km = 40,020 km

Therefore, the pipeline needs to be extended by approximately 40,020 km.

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Answer: 0.6672

Explanation:

Let x be a random variable representing the weights of the cars. Since they are normally distributed and the population standard deviation is known, we would calculate the z score by applying the formula,

z = (x - μ)/σ

where

x is the sample size

μ = population mean

σ = population standard deviation

We want to find P(2800 < x < 4500)

From the information,

μ = 3550

σ = 870

For x = 2800,

z = (2800 - 3550)/870 = - 0.86

From the normal distribution table, the area under z = - 0.86 is 0.1949

For x = 4500,

z = (4500 - 3550)/870 = 1.09

From the normal distribution table, the area under z = 1.09 is 0.8621

Thus,

P(2800 < x < 4500) = 0.8621 - 0.1949 = 0.6672

the approximate probability that the weight of a randomly selected car passing over the bridge is between 2,800 and 4,500 pounds is 0.6672



Answer:

6 + -2x

Step-by-step explanation:

(4x+8)-(6x-2)

move the 6x to the 4x ()and the 8 to the 2()or the other way round

(4x-6×)(-2+8)

-2x+6

Answer

when comparing he might  make the statement saying lets try to get to 5th grade goal so we can at least meet 1

Step-by-step explanation:

The value of unknown side length x in simplest radical form is 4√37.

Option B is the correct answer.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

Two right triangles.

Applying the Pythagorean theorem in the bigger triangle.

We get,

25² = 7² + Length²

25² = 49 + Length²

Length² = 625 - 49

Length² = 576

Length = √576

Length = 24

Now,

Applying the Pythagorean theorem in the smaller triangle.

We get,

x² = 4² + 24²

x² = 16 + 576

x² = 592

x² = 16 x 37

x = √(16 x 37)

x = √(4² x 37)

x = 4√37

Thus,

The value of x is 4√37.

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The seller will owe the buyer an amount of $2,933.40.

To be able to compute the owed amount, first, we have to compute the daily rate per day which is shown below:

= Rent received / number of days in a month

= $4,400 / 30 days

= 146.67 per day

Data:

Number of days in a month = 30 days

Landlord received a rent on December 10

The remaining days would be =  30 days - 10 days = 20 days

Now, the owed amount would be calculated as:

= Remaining days × per day rate

= 20 days × 146.67

= $2,933.40

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Answer:

37.5 percent wore white shoes

Step-by-step explanation:

Answer:

16 for the first one. each segment is 4

40 for the second. each segment is 8

Answer:

0, 4, 8, 12, 16

8, 16, 24, 32, 40, 48

Step-by-step explanation:

The first number line has 6 parts. 24÷6=4. Each vertical line will increase by 4.

So starting at 0, the parts of the number line are:

0, 4, 8, 12, 16, 20, 24

The specific part being asked for is 0, 4, 8, 12, 16

The second number line has 8 parts. 64÷8=8. Each vertical line will increase by 8.

Starting at 0, the parts of the number line are:

0, 8, 16, 24, 32, 40, 48, 56, 64

The specific part being asked for is 8, 16, 24, 32, 40, 48

Answer: She can multiply the numerator and the denominator by the same number. For example, 30/100 × 2/2

So what you're doing multiplying the numerator & the denominator each by 2. 30 ×2 = 60 and 100 x 2 = 200, ending up with 60/200.

when reduced it would simplify back to 30/100.

You can do the same for each similar. Problem asking for an equivalent. Just multiply both the numerator and denominatorby the same number.

Step-by-step explanation:

Answer:

​(b), (c),​ (a)

Step-by-step explanation:

The Most area in the tails of the distribution can be ordered as :

T-distribution is a continuous probability distribution that is  applied when the population is small and when the population standard deviation is not given