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3 years ago

Which equation best represents the situation?

Mathematics

1 answer:

Gennadij [26K]3 years ago

7 0

It is A because
x/6 gives pizza by 1 guest and adding0.5 gives total expence

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The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the

maxonik [38]

Answer:

a) 0.5 = 50% of flanges exceed 1 millimeter.

b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

$P(X > x) = \frac{b - x}{b - a}$

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.

This means that $a = 0.95, b = 1.05$

(a) Determine the proportion of flanges that exceeds 1.00 millimeters.

$P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5$

0.5 = 50% of flanges exceed 1 millimeter.

(b) What thickness is exceeded by 90% of the flanges?

This is x for which:

$P(X > x) = 0.9$

$\frac{1.05 - x}{1.05 - 0.95} = 0.9$

$1.05 - x = 0.9*0.1$

$x = 1.05 - 0.9*0.1$

$x = 0.96$

A thickness of 0.96 millimeters is exceeded by 90% of the flanges

4 0

3 years ago

Find each percent change. Round to the nearest tenth of a percent. State if it is an increase or decrease. From 46 to 89.8

Degger [83]

Answer:

78%

Step-by-step explanation:

% increase = Increase ÷ Original Number × 100

% increase= 35.8/46 *100= 77.82=78 %

3 0

3 years ago

6 cm 4 cm 7 cm It’s a rectangular pyramid.

Vikki [24]

HOPE THIS WILL HELP U...

7 0

3 years ago

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Terry's investment of $2,200 in the stock market earned $528 in two years. Find the simple interest rate for this investment

boyakko [2]

Answer:

I think 12%, I'm not entirely sure. . . .

Step-by-step explanation:

8 0

3 years ago

A music website charges x dollars for individual songs and y dollars for entire albums. Person A pays $25.92 to download 6 indiv

Elena-2011 [213]

Let $x$ equals to amount charged for downloading individual songs $\Rightarrow$ $y$ equals to amount charged for downloading an entire album.

Solve the system for $y$ :
$\left\{{{6x+2y = 25.92,}\atop{4x + 3y = 33.93;}}\right \left\{{{6x+2y = \frac{648}{25},}\atop{4x + 3y = \frac{3393}{100};}}\right
\\\left\{{{6x+2y-2y = \frac{648}{25}-2y,}\atop{4x + 3y = \frac{3393}{100};}}\right \left\{{{6x = \frac{648}{25}-2y,}\atop{4x + 3y = \frac{3393}{100};}}\right
\\\left\{{{x = \frac{-25y+324}{75},}\atop{4x + 3y = \frac{3393}{100};}}\right \left\{{{x = \frac{-25y+324}{75},}\atop{4\frac{-25y+324}{75} + 3y = \frac{3393}{100};}}\right$
$\left\{{{x = \frac{-25y+324}{75},}\atop{\frac{4(-25y+324)}{75} * 300 + 3y * 300 = \frac{3393}{100} * 300;}}\right \left\{{{x = \frac{-25y+324}{75},}\atop{16(-25y+324)+900y = 10179;}}\right
\\\left\{{{x = \frac{-25y+324}{75},}\atop{500y+5184 = 10179;}}\right \left\{{{x = \frac{-25y+324}{75},}\atop{500y = 4995;}}\right
\\\left\{{{x = \frac{-25y+324}{75},}\atop{y = \frac{999}{100} = 9.99;}}\right$

Solving the system for $x$ is unoptional since we already have the answer we've been looking for. Your answer is $9.99\$$ .

3 0

3 years ago