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2 years ago

Decrease £16870 by 3% , give your answer rounded 2 decimal places

1 answer:

5 0

To decrease it by 3% we need to fine 97% of it and 97% is the same as 0.97

16870 times 0.97=16363.9

16870 decreased by 3% is 16363.9

I hope I've helped!

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Use polar coordinates to find the volume of the given solid. bounded by the paraboloid z = 9 + 2x2 + 2y2 and the plane z = 15 in

mina [271]

Answer:

Z = 8 + 2x2 + 2y2

Convert to polar coordinates

Z = 8 + 2r2

Now theta will go from 0 to pi/2 because it's in the first quadrant.

R will go from 0 to the radius of the circle formed at the intersection of the plane and the paraboloid.

14 = 8 + 2r2

r = sqrt(3)

So r goes from 0 to sqrt(3).

You integrate 14-z where 0<r<sqrt(3) and 0<theta<pi/2.

It is 14-z and not z because just z would give the volume under the paraboloid.

Step-by-step explanation: please go answer my recent question

5 0

2 years ago

What is the following product? (StartRoot 12 EndRoot + StartRoot 6 EndRoot) (StartRoot 6 EndRoot minus StartRoot 10 EndRoot)

Crank

Answer:

The product results in: $6\,\sqrt{2} -2\,\sqrt{30} +6-2\,\sqrt{15}$ , which agrees with answer A of the given choices.

Step-by-step explanation:

We need to apply distributive property for the product of two expressions each consisting of two terms, and also use the properties of products of radicals of the same root:

$(\sqrt{12} +\sqrt{6} )(\sqrt{6} -\sqrt{10} )=\\=\sqrt{12*6} -\sqrt{12*10} +\sqrt{6*6} -\sqrt{6*10} =\\=\sqrt{72} -\sqrt{120} +\sqrt{36} -\sqrt{60}$

and now, we extract as many factors we can from the roots to reduce them:

$\sqrt{72} -\sqrt{120} +\sqrt{36} -\sqrt{60} =\\=6\,\sqrt{2} -2\,\sqrt{30} +6-2\,\sqrt{15}$

5 0

2 years ago

Read 2 more answers

Use the fact that the variance of a Poisson distribution is σ2=μ. The mean number of bankruptcies filed per hour by businesses i

lianna [129]

Answer:

Variance = 5

Standard deviation = 2.236

0.2650257

Step-by-step explanation:

For a Poisson distribution is σ² = μ.

Given that:

Mean , μ of bankruptcies files per hour = 5

μ = 5

For a Poisson distribution :

P(x = x) = (μ^x * e^-μ) / x!

The Variance and standard deviation :

Variance : σ² = μ = 5

Standard deviation = sqrt(variance) = sqrt(5) = 2.236

B.) Find the probability that at most three businesses will file bankruptcy in any given hour.

P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379

P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897

P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243

P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738

0.0067379 + 0.0336897 + 0.0842243 + 0.1403738

= 0.2650257

6 0

2 years ago

Which of the following represents the zeros of f(x) = 5x3 − 6x2 − 59x + 12? (2 points)

Furkat [3]

Answer:

4, −3, 1 over 5

Step-by-step explanation:

x is a zero of $f(x)$ if $f(x) = 0$

In this problem, we have that:

$f(x) = 5x^{3} - 6x^{2} - 59x + 12$

4, 3, 1 over 5

$f(4) = 5*4^{3} - 6*4^{2} - 59*4 + 12 = 0$

So 4 is a zero of the function

$f(3) = 5*3^{3} - 6*3^{2} - 59*3 + 12 = -84$

So 3 is not a zero of the function, and this option is incorrect

4, 3, − 1 over 5

$f(3) = 5*3^{3} - 6*3^{2} - 59*3 + 12 = -84$

So 3 is not a zero of the function, and this option is incorrect

4, −3, 1 over 5

$f(4) = 5*4^{3} - 6*4^{2} - 59*4 + 12 = 0$

So 4 is a zero of the function

$f(-3) = 5*(-3)^{3} - 6*(-3)^{2} - 59*(-3) + 12 = 0$

So -3 is a zero of the function

$f(\frac{1}{5}) = f(0.2) = 5*(0.2)^{3} - 6*(0.2)^{2} - 59*(0.2) + 12 = 0$

So 1 over 5 is a zero of the function

This is the correct answer.

4, −3, −1 over 5

$f(4) = 5*4^{3} - 6*4^{2} - 59*4 + 12 = 0$

So 4 is a zero of the function

$f(-3) = 5*(-3)^{3} - 6*(-3)^{2} - 59*(-3) + 12 = 0$

So -3 is a zero of the function

$f(-\frac{1}{5}) = f(-0.2) = 5*(-0.2)^{3} - 6*(-0.2)^{2} - 59*(-0.2) + 12 = 23.52$

-1 over 5 is not a zero of the function

5 0

2 years ago

Jaxon’s mother spends more than 2 hours cleaning the house. The inequality x>2 represents the situation. Which graph represen

lisov135 [29]

It should look like a vertical line on the 2 of the x axis and everything to the right would be shaded.

3 0

2 years ago

Read 2 more answers