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bearhunter [10]
1 year ago
11

The experience of a car dealer shows that 60% of the customers purchase a stereo as an option with their cars, 50% purchase tint

ed windows, and 35% purchase both. find the probability that a customer purchase at least one of these two options.
Mathematics
1 answer:
erica [24]1 year ago
4 0
If 60% purchase a stereo and 50% purchases tinted windows, then the percentage of people who purchased both have been counted twice. So we have to subtract 35% (the % that purchased both) from the sum of the first two percentages:
60% + 50% - 35% = 75%
Therefore, the probability that a customer picked up any one or both options (which is at least 1) is 75%.
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A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure? 12° 45° 72° 90°
iren2701 [21]

Answer:

Option (3). 72°

Step-by-step explanation:

Angle of rotational symmetry = Central angle of a polygon

That means when we rotate the regular polygon by a central angle, polygon overlaps itself.

Central angle of a polygon with n sides = \frac{360}{n}

Where n = number of sides of the polygon

Therefore, central angle of a polygon with 15 sides = \frac{360}{15}

                                                                                     = 24°

Central angle tells us that after every 24° of rotation, polygon overlaps itself.

Angle of rotational symmetry may be 48°, 72°, 96°.....

Therefore, Option (3) is the possible angle of rotational symmetry.

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1 year ago
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Find b, given that a = 20, angle A = 30°, and angle B = 45° in triangle ABC
Kamila [148]
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</span>\frac{a}{sinA} = \frac{b}{sinB}
\frac{20}{sin30^0} = \frac{b}{sin45^0}
\frac{20}{ \frac{1}{2} } = \frac{b}{ \frac{ \sqrt{2} }{2} }
20* \frac{ \sqrt{2} }{2}  = b* \frac{1}{2}
\frac{20 \sqrt{2} }{2} = \frac{b}{2}
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Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000,
Damm [24]

Answer:

Susan's take-home pay <u>$48,645</u>.

Step-by-step explanation:

Given:

Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000, and state tax withholding of $4,000. Employers are required to withhold a 6.2% Social Security tax and a 1.45% Medicare tax.

Now, to find Susan's take-home pay.

Basic salary = $70,000.

Now, her tax withholdings:

Federal income tax = $12,000.

State tax = $4,000.

<u><em>Social security tax = 6.2% of $70,000.</em></u>

=\frac{6.2}{100} \times 70,000\\\\=0.062\times 70,000\\\\=\$4340.

<u><em>Medicare tax = 1.45% of $70,000.</em></u>

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Now, to get the take-home pay of Susan's we subtract all the tax holdings of federal, state, social and medicare from the basic salary:

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=70,000-21,355

=\$48,645.

Therefore, Susan's take-home pay $48,645.

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