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VLD [36.1K]
2 years ago
9

Find BC if B(8,-7) and C1-4,-2).

Mathematics
1 answer:
Alika [10]2 years ago
4 0

Using distance formula :

  • \sqrt{(x_2 - x_1) {}^{2}  + (y_2 - y_1) {}^{2} }

  • \sqrt{(8 - ( - 4)) {}^{2}  + ( - 7 - ( - 2)) {}^{2} }

  • \sqrt{(12) {}^{2} + ( - 5) {}^{2}  }

  • \sqrt{144 + 25}

  • \sqrt{169}

  • 13 \:  \: units
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A jar contains some bacteria. Every day the number of bacteria
svp [43]

Answer:

Day 2

Step-by-step explanation:

Every 20 days, one jar is full.

To find when it was 1/8 full, we multiply the 20 days by 1/8.

20 x 1/8 =  2

Day 2

3 0
2 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
2 years ago
Help me please, not very good at math. Thank u:)
ozzi

Answer:

76cm^2

Step-by-step explanation:

Separate the shape into two different rectangles. Then add the area of the rectangles together.

4 x 4 = 16

6 x 10 = 60

16 + 60 = 76

8 0
2 years ago
Read 2 more answers
GUYS PLS HELP ME ON THIS I AM RLLY Struggling.... :(
sergiy2304 [10]
The answer to your question is 448in squared
4 0
3 years ago
You invest $4000 in an account at 6.5% per year simple interest. How much will you have in the account at the beginning of the 9
aleksandrvk [35]

Answer:

$6340

Step-by-step explanation:

First figure out what 6.5% of 4000 is by multiplying not dividing because dividing will give you a way bigger number.

4000 x 6.5%=260

260 x 9=2340

2340+4000=6340

8 0
3 years ago
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