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stiv31 [10]
3 years ago
6

Enter the equation of the line in slope-intercept form.

Mathematics
1 answer:
Vesna [10]3 years ago
6 0
The equation is y=4x+5/2
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A, B, and C are pegs on the bank of a canal which has
Elden [556K]

Answer:

116.67 m

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are equal and the ratio of their sides are in the same proportion.

From the image attached:

∠A = ∠C = 90° (right angled triangle).

∠ABE = ∠CBD (vertically opposite angles are equal to each other)

The angle-angle similarity postulate states that If two angles of one triangle are equal to two angles of another triangle, then both triangles must be similar. Hence:

Since, ∠A = ∠C and ∠ABE = ∠CBD, we can say that ΔABE and ΔCBD are similar triangles. Since they are similar, the ratio of their corresponding sides is equal. Therefore:

BC / AB = CD / AE

BC = 140 m, AB = 30 m, AE = 25 m

substituting:

140 / 30 = CD / 25

CD = (140 / 30) * 25

CD = 116.67 m

The width of the canal = CD = 116.67 m

7 0
3 years ago
The Lakeside Legends, a broomball team, joined a 20-team league. They played each of their 19 opponents 3 times. Every broomball
SVEN [57.7K]

Answer:

114 hours. 19 teams x 3 games = 57 games. 57 games x 2 hours = 114 hours. hope this helps

Step-by-step explanation:

4 0
3 years ago
A municipal bond service has three rating categories (A, B, and C). Suppose that in the past year, of the municipal bonds issued
11Alexandr11 [23.1K]

Answer:

(a) The probability that the new municipal bond issued will receive an A rating given that it was issued by a city is 0.196.

(b) Thus, the probability of municipal bonds issued by suburbs is 0.325.

Step-by-step explanation:

The data provided is as follows:

P (A) = 0.70

P (B) = 0.20

P (C) = 0.10

P (c | A) = 0.50

P (s | A) = 0.40

P (r | A) = 0.10

P (c | B) = 0.60

P (s | B) = 0.20

P (r | B) = 0.20

P (c | C) = 0.90

P (s | C) = 0.05

P (r | C) = 0.05

(a)

The Bayes' theorem states that the conditional probability of an event <em>Y</em>_{i} given that another event <em>X</em> has already occurred is:

P(Y|X)=\frac{P(X|Y)P(Y)}{\sum\limits_{i} {P(X|Y_{i})P(Y_{i})}}

Compute the probability that the new municipal bond issued will receive an A rating given that it was issued by a city as follows:

P(A|c)=\frac{P(c|A)P(A)}{P(c|A)P(A)+P(c|B)P(B)+P(c|C)P(C)}

           =\frac{(0.50\times 0.70)}{(0.50\times 0.70)+(0.60\times 0.20)+(0.10\times 0.90)}\\\\=\frac{0.35}{0.56}\\\\=0.196

Thus, the probability that the new municipal bond issued will receive an A rating given that it was issued by a city is 0.196.

(b)

The law of total probability states that:

P(X)=\sum\limits_{i} {P(X|Y_{i})}

Compute the probability of municipal bonds issued by suburbs as follows:

P(s)=P(s|A)P(A)+P(s|B)P(B)+P(s|C)P(C)

        =(0.40\times 0.70)+(0.20\times 0.20)+(0.10\times 0.05)\\\\=0.28+0.04+0.005\\\\=0.325

Thus, the probability of municipal bonds issued by suburbs is 0.325.

3 0
4 years ago
If 32 units represents $2080, find the value of 6 units.
mestny [16]
Answer is $390. Divide the $2080 by the 32 which would give you the cost of one unit which is $65 and then multiply the $65 by the given number 6 and you will get $390
7 0
3 years ago
Read 2 more answers
The graph shown below is a scatter plot:
JulijaS [17]
C.) Point L is an Outlier.

[ It is because, each & every point shows same pattern but L is exception to the rule & stays out of the average values ]

Hope this helps!

7 0
3 years ago
Read 2 more answers
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