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tigry1 [53]
3 years ago
12

Find the angle e and f

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
7 0
E = 65° ( co-interior angle)

Angle F = 180-75 = 105°
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At the beach 29% of people have red towels and 18% have white towels if the rest have blue ,what percentage of the people at the
Sonbull [250]
The anwser is 53%....
8 0
3 years ago
Read 2 more answers
There are 210210210 students in a twelfth grade high school class. 909090 of these students have at least one sister and 1051051
BlackZzzverrR [31]

Answer:

(1) The value of P (A) is 0.4286.

(2) The value of P (B) is 0.50.

(3) The value of P (A ∩ B) is 0.2143.

(4) The the value of P (B|A) is 0.50.

(5) The events <em>A</em> and <em>B</em> are independent.

Step-by-step explanation:

The events are defined as follows:

<em>A</em> = a student in the class has a sister

<em>B</em> = a student has a brother

The information provided is:

<em>N</em> = 210

n (A) = 90

n (B) = 105

n (A ∩ B) = 45

The probability of an event <em>E</em> is the ratio of the favorable number of outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

The conditional probability of an event <em>X</em> provided that another event <em>Y</em> has already occurred is:

P(X|Y)=\frac{P(A\cap Y)}{P(Y)}

If the events <em>X</em> and <em>Y</em> are independent then,

P(X|Y)=P(X)

(1)

Compute the probability of event <em>A</em> as follows:

P(A)=\frac{n(A)}{N}\\\\=\frac{90}{210}\\\\=0.4286

The value of P (A) is 0.4286.

(2)

Compute the probability of event <em>B</em> as follows:

P(B)=\frac{n(B)}{N}\\\\=\frac{105}{210}\\\\=0.50

The value of P (B) is 0.50.

(3)

Compute the probability of event <em>A</em> and <em>B</em> as follows:

P(A\cap B)=\frac{n(A\cap B)}{N}\\\\=\frac{45}{210}\\\\=0.2143

The value of P (A ∩ B) is 0.2143.

(4)

Compute the probability of <em>B</em> given <em>A</em> as follows:

P(B|A)=\frac{P(A\cap B)}{P(A)}\\\\=\frac{0.2143}{0.4286}\\\\=0.50

The the value of P (B|A) is 0.50.

(5)

The value of P (B|A) = 0.50 = P (B).

Thus, the events <em>A</em> and <em>B</em> are independent.

6 0
3 years ago
a new rectangular park is planned.it will be 3/4 kilometer long and have an area of 3/8 square kilometers. how many kilometers w
kakasveta [241]

<em>The word usage in last sentence of the question is not well presented. However, I can understand that you intend to solve for the width of the park</em>

Answer:

Width = 2\ km

Step-by-step explanation:

Given

Length = \frac{3}{8}km

Area = \frac{3}{4}km^2

Required

Determine the Width

For a rectangle:

Area = Length * Width

Substitute for Area and Length

\frac{3}{4} = \frac{3}{8} * Width

Multiply both sides by \frac{8}{3}

\frac{8}{3} * \frac{3}{4} = \frac{3}{8} * \frac{8}{3}* Width

\frac{8}{3} * \frac{3}{4} =  Width

\frac{24}{12} = Width

2 = Width

Width = 2\ km

6 0
3 years ago
6. A sporting goods store receives an order of 100 baseball caps, of which 22 are green. If 1 of
Taya2010 [7]

Answer:

\text{A. }39/50

Step-by-step explanation:

The probability that a randomly selected cap will not be green is equal to the number of non-green caps divided by the total number of caps.

Since there are 100 caps total and 22 are green, there must be 100-22=78 non-green caps.

Divide this by the total number of caps (100) to get the probability that a randomly selected cap will not be green:

\frac{78}{100}

Simplify by dividing both the numerator and denominator by 2:

\frac{78}{100}=\boxed{39/50}

6 0
3 years ago
What is the perimeter of a rectangle with a length of (x^2+x) and a width of (2x^2+3x)
Mazyrski [523]

Answer:

Perimeter = 6x² + 8x

Step-by-step explanation:

Perimeter = 2(length + width)

perimeter = 2((x²+x)+(2x²+3x))

perimeter = 2(x²+2x² + x+3x)

perimeter = 2(3x² + 4x)

perimeter = 2*3x² + 2*4x

perimeter = 6x² + 8x

5 0
3 years ago
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