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3 years ago

5

Raul spends 90 minutes at guitar lessons every 2 weeks. How many hours does he spend at guitar lessons in 8 weeks? (Tip: 60 minu

tes = 1 hour)

2 answers:

valentinak56 [21]3 years ago

8 0

He spends 60 hours every 8 weeks.

trasher [3.6K]3 years ago

7 0

He spent 12 hours practicing Guitar.

First do 90 x 8 = 720. So Raul spent 720 minutes practicing.

Now to solve the hours do 720 / 8 = 12

Hope this helps!

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Find the area of each shaded region. give your answer as a completely simplified exact value in terms of pi. (no approximates)

frez [133]

Answer:

52 $\pi$

Step-by-step explanation:

We see that the radius of the big circle is 8m, and we see that the it is also the diameter of the second smallest circle. We also see that this diameter is split into two equal parts, and since the entire length is 8, each part will be 4. So what we need to do is find the area of each circle.

First we can start by finding the area of the smallest circle. The radius of this circle will be 4/2, 2. So the area of this circle will be $\pi$ $r^{2}$ , and in this case 4 $\pi$ .

Then we need to find the area of the bigger shaded portion, which will be the area of the big circle, minus the area of the smaller white circle.

First, lets find the are of the big circle, which again, will be $\pi$ $r^{2}$ . This time, we plug in a radius of 8, and we get 64 $\pi$ .

Next we find the area of the smaller white circle, again $\pi$ $r^{2}$ . We use a radius of 4 this time, giving us an area of 16 $\pi$ .

Now we subtract the two values we found previously to find the area of the just the bigger shaded portion. That value will be 64 $\pi$ -16 $\pi$ , which is 48 $\pi$

We then take 48 $\pi$ , and we add the small shaded portion, which had an area of 4 $\pi$ , and we add them, giving us a total of 52 $\pi$ .

Hope this helped.

4 0

3 years ago

A recipe for a 14 blueberry calls for one cup of flour. The number of muffins that can be made varies directly with the amount o

Kitty [74]

Answer:

49

49 muffins would be made because if you first multiply 14 by 3 you would get 42 and if half of 14 is 7 and you add that to 42 which would equal 49 and there is your answer.

6 0

3 years ago

Expand and simplify: 5(x-3)+2(2x+1)

amid [387]

First you have to distribute.
5(x - 3) + 2(2x + 1)
5x - 15 + 4x + 2
Then you combine like terms.
9x - 13
This is your final answer. I hope this helps love! :)

5 0

3 years ago

Read 2 more answers

Assume that you wish to estimate a population proportion, p. For the given margin of error and confidence level, determine the s

Ksenya-84 [330]

Answer:

The sample size required is 228.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

In previous years, the proportion has been 0.16.

This means that $\pi = 0.16$

Obtain a sample size that will ensure a margin of error of at most 0.04 for a 90% confidence interval.

This is n for which M = 0.04. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.645\sqrt{\frac{0.16*0.84}{n}}$

$0.04\sqrt{n} = 1.645\sqrt{0.16*0.84}$

$\sqrt{n} = \frac{1.645\sqrt{0.16*0.84}}{0.04}$

$(\sqrt{n})^2 = (\frac{1.645\sqrt{0.16*0.84}}{0.04})^2$

$n = 227.3$

Rounding up:

The sample size required is 228.

5 0

3 years ago

Question 4 fast please

Daniel [21]

Answer:

X=-10

Step-by-step explanation:

Collinear points are points on the same line.

Use the equation of gradient to find the gradient. Then use the gradient to find X

$\frac{Y2-Y1}{X2-X1}=Gradient of a slope$

$\frac{2-(-4)}{3-0}=\frac{2+4}{3}=\frac{6}{3}=2$

$\frac{x+4}{-3-0}=2$

Multiply both sides of the equation to get rid of the fraction.

$\frac{x+4}{-3}*-3 =2*-3$

x+4=-6

x=-6-4

x=-10

7 0

3 years ago