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Wittaler [7]
2 years ago
9

In a certain elementary school, 52% of the students are girls. A sample of 65 students is drawn. Would it be unusual for more th

an 70% of them to be girls? Clearly explain your reason. (Note that your random variable is the sample proportion).
Mathematics
1 answer:
aksik [14]2 years ago
4 0
P = 52% = 0.52
SE = sqrt(p(1 - p)/n) = sqrt(0.52(1 - 0.52)/65) = sqrt((0.52 x 0.48) / 65) = sqrt(0.00384) = 0.0620

Let x be a random variable representing the percent of girls in the sample, then
P(x > 0.70) = 1 - P(x < 0.70) = 1 - P(z < (0.70 - 0.52) / 0.0620) = 1 - P(z < 2.905) = 1 - 0.99816 = 0.00184

The probability that there will be more than 70% of girls in the sample is 0.00184. Therefore, it will be unusual for more than 70% of them to be girls.
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Find the area of quadrilateral ABCD. [Hint: the diagonal divides the quadrilateral into two triangles.]
Vadim26 [7]

Answer:

B) 28.53 unit²

Step-by-step explanation:

The diagonal AD divides the quadrilateral in two triangles:

  1. Triangle ABD
  2. Triangle ACD

Area of Quadrilateral will be equal to the sum of Areas of both triangles.

i.e.

Area of ABCD = Area of ABD + Area of ACD

Area of Triangle ABD:

Area of a triangle is given as:

Area = \frac{1}{2} \times base \times height

Base = AB = 2.89

Height = AD = 8.6

Using these values, we get:

Area = \frac{1}{2} \times 2.89 \times 8.6 = 12.43

Thus, Area of Triangle ABD is 12.43 square units

Area of Triangle ACD:

Base = AC = 4.3

Height = CD = 7.58

Using the values in formula of area, we get:

Area = \frac{1}{2} \times 4.3 \times 7.58 = 16.30

Thus, Area of Triangle ACD is 16.30 square units

Area of Quadrilateral ABCD:

The Area of the quadrilateral will be = 12.43 + 16.30 = 28.73 units²

None of the option gives the exact answer, however, option B gives the closest most answer. So I'll go with option B) 28.53 unit²

7 0
2 years ago
Which ordered pair would form a proportional relationship with the point graphed below​
butalik [34]
Your answer should be b
8 0
2 years ago
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The sum of three consecutive integers is 192. what are the integers
iVinArrow [24]

Answer:

63, 64, 65

Step-by-step explanation:

Consecutive integers have a difference of 1 between them

let the 3 integers be n, n + 1 and n + 2 , then their sum equals 192

n + n + 1 + n + 2 = 192

3n + 3 = 192 ( subtract 3 from both sides )

3n = 189 ( divide both sides by 3 )

n = 63 ⇒ n + 1 = 64 and n + 2 = 65

the 3 integers are 63, 64 and 65


4 0
2 years ago
Read 2 more answers
The number of books borrowed from a library each week follows a normal distribution. When a sample is taken for several weeks, t
dexar [7]

Answer:

2.28%

Step-by-step explanation:

Let X be the  number of books borrowed from a library each week

Given that X is normal with mean = 190 and std dev = 30

Thus Z score would be

Z=\frac{x-190}{30}

Required probability or chance = P(X>250)

=P(z>\frac{250-190}{30}

=P(Z>2)

=0.5-0.4772

=0.0228

=2.28%

8 0
2 years ago
Read 2 more answers
For the month of June, Mae Green budgeted the following amounts: $180 for food, $475 for rent, $15 for transportation, $50 for i
ycow [4]
Question 1

Total budget = 180 + 475 + 15 + 50 + 65 + 25 + 150 + 30 = $990
Real spending = 182 + 475 + 12 + 65 + 68 + 12.50 + 150 + 36  = $1000.5

Mae Green didn't stay within the allocated budget

---------------------------------------------------------------------------------------------------------

Question 2

Eleanor:
Income = 380.48
Spending = 16.50

Peter:
Income = 120 + 13.65 + 100 = 233.65

Total income = 233.65 + 380.48 - 16.50 = 597.63

-------------------------------------------------------------------------------------------------------------

Question 3

Total spent = 540 + 48.55 + 34.15 + 12.80 + 18.95 + 38.60 + 2 + 6.50 = 701.55

-------------------------------------------------------------------------------------------------------------

Question 4 

Marie's new balance = 250.65 - [21.95+48.50+75.60] + 55 = $159.50

------------------------------------------------------------------------------------------------------------

Question 5

[235/825] × 100 = 28.48%
4 1
2 years ago
Read 2 more answers
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