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2 years ago

Use natural logarithms to solve the equation. Round to the nearest thousandth. 6e4x - 2 = 3

1 answer:

6 0

6 · e^(4x - 2) = 3
   e^(4x - 2) = .5
ln e^(4x - 2) = ln (.5)
4x - 2 = ln (.5)
   4x = ln (.5) + 2
   x = (ln (.5) + 2)/4
   x = 0.3267
   x ≈ 0.327

Answer: B

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How do you find the area of the shaded sector of the circle? The radius is 10in and the sector is 45 degrees

Step2247 [10]

Given:

Radius of the circle = 10 in

Central angle of the sector = 45 degrees

To find:

The area of the sector.

Solution:

Area of a sector is

$A=\dfrac{\theta}{360^\circ}\pi r^2$

Where, $\theta$ is the central angle in degrees.

Putting r=10 and $\theta=45^\circ$ , we get

$A=\dfrac{45^\circ}{360^\circ}\pi (10)^2$

$A=\dfrac{1}{8}\pi (100)$

$A=12.5\pi$

Therefore, the area of the sector is 12.5π sq. inches.

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2 years ago

Please help me compute standard deviation! Here is the problem, as written.

aleksandr82 [10.1K]

Answer:

The standard deviation for the income of super shoppers is 76.12.

Step-by-step explanation:

The formula to compute the standard deviation for the grouped data probability distribution is:

$\sigma=\sqrt{\sum [(x-\mu)^{2}\cdot P(x)]}$

Here,

<em>x</em> = midpoints

$\mu=\sum x\cdot P(x)$

Consider the Excel table attached below.

The mean is:

$\mu=\sum x\cdot P(x)=32.3$

Compute the standard deviation as follows:

$\sigma=\sqrt{\sum [(x-\mu)^{2}\cdot P(x)]}$

$=\sqrt{259.71}\\\\=76.1155204\\\\\approx 76.12$

Thus, the standard deviation for the income of super shoppers is 76.12.

3 0

3 years ago

Please order a b and c from least to greatest

vagabundo [1.1K]

Answer:

Jsi18 8 7

Step-by-step explanation:

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4 0

2 years ago

What is 0.375 as a fraction

juin [17]

Answer:

3/8 because 1/8 is .125 multiply by 3 and u get .375 aka 3/8

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2 years ago

Raj has 40% of his weekly paycheck automatically dispositive into his savings account this week $160 is dispositive into the acc

ella [17]

Answer:

Raj can look on his pay stub to find the total is $400

Step-by-step explanation:

The relation between the deposit and the total pay is ...

deposit = 0.40 × total pay

total pay = deposit / 0.40 = 160/0.40 = 400

Raj was paid $400 this week.

7 0

3 years ago