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Julli [10]
3 years ago
12

Joey built a model sailboat that is similar to his real sailboat. The triangular sail on

Mathematics
1 answer:
lord [1]3 years ago
3 0

Answer:

31.25

Step-by-step explanation:

25/12=2.083333

15 x 2.0833333=31.24999999995

round up to get 31.25

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An appliance salesperson receives a monthly salary of $2,250 plus a commission of 4.5% on all sales compute total pay for a mont
tino4ka555 [31]

Answer:

the total pay for the month for appliance salesperson = $6680.25

Step-by-step explanation:

salesperson receives a monthly salary of $2,250

commission of 4.5% on all sales compute

total pay for a month and when she sold $98,450 worth of appliances

total pay =  $2,250 + 4.5% of $98,450

             = $2,250 + $4430.25 = $6680.25

6 0
3 years ago
What does the constant of variation mean?
Ostrovityanka [42]

Answer:

The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another.

Step-by-step explanation:

3 0
3 years ago
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umka21 [38]
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5 0
3 years ago
This problem has been solved!See the answerA municipal bond service has three rating categories (A, B, and C). Suppose that in t
mariarad [96]

Answer:

a. \frac{35}{51}

b. \frac{51}{100}

c. \frac{1}{5}

Step-by-step explanation:

Suppose cities represented by C', suburbs represented by S and rural represented by R,

Let x be the total number of bonds issued throughout the US,

According to the question,

n(A) = 70% of x = 0.7x,

n(B) = 10% of x = 0.1x,

n(C) = 20% of x = 0.2x,

n(A∩C') = 50% of n(A) = 0.5 × 0.7x = 0.35x,

n(A∩S) = 20% of n(A) = 0.2 × 0.7x = 0.14x,

n(A∩R) = 30% of n(A) = 0.3 × 0.7x = 0.21x,

n(B∩C') = 40% of n(B) = 0.4 × 0.1x = 0.04x,

n(B∩S) = 30% of n(B) = 0.3 × 0.1x = 0.03x,

n(B∩R) = 30% of n(B) = 0.3 × 0.1x = 0.03x,

n(C∩C') = 60% of n(C) = 0.6 × 0.2x = 0.12x,

n(C∩S) = 15% of n(C) = 0.15 × 0.2x = 0.03x,

n(C∩R) = 25% of n(C) = 0.25 × 0.2x = 0.05x,

n(C') = n(A∩C')  + n(B∩C')  + n(C∩C')  = 0.35x + 0.04x + 0.12x = 0.51x

n(S) = n(A∩S) + n(B∩S) + n(C∩S) = 0.14x + 0.03x + 0.03x = 0.20x

a. The probability that it will receive an A rating, if a new municipal bond is to be issued by a city,

P(\frac{A}{C'})=\frac{P(A\cap C')}{P(C')}=\frac{0.35x/x}{0.51x/x}=\frac{0.35}{0.51}=\frac{35}{51}

b. The proportion of municipal bonds are issued by cities = \frac{n(C')}{x}

=\frac{0.51x}{x}

=\frac{51}{100}

c. The proportion of municipal bonds are issued by suburbs = \frac{n(S)}{x}

=\frac{0.20x}{x}

=\frac{20}{100}

=\frac{1}{5}

3 0
3 years ago
PLZ HURRY IT'S URGENT!!
Jet001 [13]

Answer:

OPTION C: 60%

Step-by-step explanation:

Chances of raining the next day + Chances that it will not rain = 100%

One of them should definitely be true.

So, if the chance of it raining tomorrow is 40% then there is 60% chance that it will not rain tomorrow.

This can also seen as follows:

Probability of rain tomorrow + Probability of no rain = 1

Given Probability of rain tomorrow = 40% = $ \frac{40}{100} = \frac{2}{5} $

Probability of no rain tomorrow = 1 - Probability of rain tomorrow

⇒ Probability of no rain = 1 - $ \frac{2}{5} $

⇒ Probability of no rain = $ \frac{3}{5} $

Expressing it as percentage: $ \frac{3}{5} \times 100 $ = 60%.

8 0
3 years ago
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