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3 years ago

I need help with this

Mathematics

1 answer:

ra1l [238]3 years ago

4 0

Answer:

156 degrees

Step-by-step explanation:

Bisects meand to cut into two equal halves.

That means 4x-2=3x+18.

Subtracting 3x on both sides gives x-2=18

Adding 2 on both sides gives x=20

If x=20, then 4x-2 equals 4(20)-2=78.

The other half is also 78 since the two angles were comgruent.

The whole angle is 78+78=156.

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What is the volume of this solid? Use 3.14 for pi. 37.68 cm³ 138.16 cm³ 169.56 cm³ 207.24 cm³ A solid consisting of a cone on to

yulyashka [42]

Volume of Solid = Volume of Cylinder + Volume of Cone
Volume of Cylinder = πr²h
v= 3.14 * (3)² * 6
v = 169.56

Volume of Cone = πr² h/3
v = 3.14 * (3)² * 4/3
v = 37.7

Now, V = 169.56 + 37.7 = 207.26 cm³

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3 years ago

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Yˆ=2.391x+57.420 which number is the y intercept?

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Answer:

57.420

Step-by-step explanation:

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3 years ago

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The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room

Alexandra [31]

Answer:

$\bar x = 260.1615$

$\sigma = 70.69$

The confidence interval of standard deviation is: $53.76$ to $103.25$

Step-by-step explanation:

Given

$n =20$

See attachment for the formatted data

Solving (a): The mean

This is calculated as:

$\bar x = \frac{\sum x}{n}$

So, we have:

$\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}$

$\bar x = \frac{5203.23}{20}$

$\bar x = 260.1615$

$\bar x = 260.16$

Solving (b): The standard deviation

This is calculated as:

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}$

$\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}$ $\sigma = \sqrt{\frac{94938.80}{19}}$