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2 years ago

What is the simplified expression for -3(2x- y) + 2y + 2(x+y)2

Mathematics

1 answer:

Step2247 [10]2 years ago

6 0

Answer:

7y-4x.

Step-by-step explanation:

I think that the last 2 shouldn't be there and the third option should be 7y-4x or all the options are incorrect.

-3(2x- y) + 2y + 2(x+y)

= -6x+3y + 2y+2x+2y

= -6x+2x+3y+2y+2y

= -4x+7y.

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2 years ago

Find the sum of the interior angles of a regular 29-gon.

aev [14]

Woah! A 29-gon. Impressive!

Sum of angles = 180(n-2) [where n is equal to the number of sides]

180(29-2)

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3 years ago

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2 years ago

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The diameter of a spindle in a small motor is supposed to be 4.1 millimeters (mm) with a standard deviation of 0.1 mm. If the sp

adoni [48]

Answer:

The null hypothesis is $H_0: \mu = 4.1$

The alternate hypothesis is $H_a: \mu \neq 4.1$

Step-by-step explanation:

The diameter of a spindle in a small motor is supposed to be 4.1 millimeters

This means that the null hypothesis is that the diameter has the supposed value, that is, $H_0: \mu = 4.1$

If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement.

Tests if it has moved away, that is, if the mean is different from the specified value of 4.1. So the alternate hypothesis is $H_a: \mu \neq 4.1$

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2 years ago

Sample information: 24 out of 1000 people who were surveyed had type 2 diabetes. Use the above sample information and construct

notka56 [123]

Solution :

The sample proportion $(\hat p)=\frac{24}{1000}$

= 0.024

90% confidence interval

The standard deviation = $\sqrt{\frac{\hat p(1-\hat p)}{n}$

= $\sqrt{\frac{0.024(1-0.024)}{1000}$

= 0.00484

z = 1.645 for 90% CI

Upper band = 0.024 + (0.00484 x 1.645 ) = 0.03196

Lower band = 0.024 - (0.00484 x 1.645 ) = 0.01603

Therefore, the 90% CI is (0.016, 0.032)

99% confidence interval

z = 2.576 for 99% CI

Upper band = 0.024 + (2.576 x 0.00484 ) = 0.0365

Lower band = 0.024 - (2.576 x 0.00484 ) = -0.0115

Therefore, the 99% CI is (0.0115, 0.0365)

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3 years ago