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3 years ago

Adding Mixed Numbers Find each sum. Simplify your answer. 1. 5+31 =

Mathematics

2 answers:

tigry1 [53]3 years ago

3 0

Answer:

36:)

Step-by-step explanation:

Crazy boy [7]3 years ago

3 0

Step-by-step explanation:

You can do it in calculator or rough it is 36

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A point on the rim of a wheel has a linear speed of 33 cm/s. If the radius of the wheel is 50 cm, what is the angular speed of t

Zigmanuir [339]

Answer:

The angular speed of the wheel in radians per second is 0.66.

Step-by-step explanation:

Recall the following statement:

A linear speed (v) is given by,

$v=\omega \times r$ ...... (1)

Here, $\omega$ represents the angular speed of the wheel and <em>r</em> represents the radius of the wheel.

From the given information:

Linear speed (v) = 33 cm/s

Radius of the wheel (r) = 50 cm

Now to find the angular speed in radian per second.

$33 =50 \times \omega$

Divide both sides by 50.

$0.66 rad/sec= \omega$

Hence, the angular speed of the wheel in radians per second is 0.66.

4 0

3 years ago

11/(x+9)=5<br> I am struggling with this question. Is there a solution?

maks197457 [2]

Answer:

x=-6.8

$\\ step \: by \: step \: explanation \\ \frac{11}{(x + 9)} = 5 \\ 11 = 5(x + 9) \\ 11 = 5x + 45 \\ 5x = 11 - 45 \\ 5x = - 34 \\ x = \frac{ - 34}{5} = - 6.8$

8 0

2 years ago

A study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving (the Wall Street Journal, May

Strike441 [17]

The probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328

<h3>How to determine the probability?</h3>

The given parameters are:

Sample size, n = 100
Population proportion, p = 82%

Start by calculating the mean:

$\mu = np$

$\mu = 100 * 82\%$

$\mu = 82$

Calculate the standard deviation:

$\sigma = \sqrt{\mu(1 - p)$

$\sigma = \sqrt{82 * (1 - 82\%)$

$\sigma = 3.84$

Within ± 0.02 of the population proportion are:

$x_{min} = 82 * (1 - 0.02) = 80.38$

$x_{max} = 82 * (1 + 0.02) = 83.64$

Calculate the z-scores at these points using:

$z = \frac{x - \mu}{\sigma}$

So, we have:

$z_1 = \frac{80.36 - 82}{3.84} = -0.43$

$z_2 = \frac{83.64 - 82}{3.84} = 0.43$

The probability is then represented as:

P(x ± 0.02) = P(-0.43 < z < 0.43)

Using the z table of probabilities, we have:

P(x ± 0.02) = 0.3328

Hence, the probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328

Read more about probability at:

brainly.com/question/25870256

#SPJ1

4 0

1 year ago

Need help with #5.<br> Find angle and solve for x

Leona [35]

Answer:

see explanation

Step-by-step explanation:

The 2 marked angles are vertical and congruent, thus

24x = 23x + 5 ( subtract 23x from both sides )

x = 5

Thus angles = 24 × 5 = 120°

6 0

3 years ago

consider the equations y=3x+7 and 5x+2y=3. Solve the system equations by graphing. Give your solution to the system as a pair of

alexandr402 [8]

Answer:

(1,4)

Step-by-step explanation:

The two lines intersect at 1,4 when you graph them

The first equation is already in slope intercept from, so you know the y-int. is 7 and the slope is 3. However, the second equation must be put in slope int. form.

5x+2y=3

move the y to the other side

5x=3-2y

move the 3 to the other side, so the y variable is by itself

5x-3=-2y

divide by -2 to the equation is equal to y

(-5x/2)+(3/2)=y

you now know the y int. of the second equation is 3/2 and the slope is -5/2

know that you know the slop int. formulas for both equations you can graph them

7 0

2 years ago