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Oksi-84 [34.3K]
3 years ago
6

Use the relative frequency approach to estimate the probability of the event. In a certain class of students, there are 8 boys f

rom Wilmette, 5 girls from Kenilworth, 9 girls from Wilmette, 5 boys from Glencoe, 5 boys from Kenilworth and 7 girls from Glenoce. If the teacher calls upon a student to answer a question, what is the probability that the student will be from Kenilworth?
Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0

Answer:

P\text{Student will be from Kenilworth}\approx 0.256

Step-by-step explanation:

We have been given that that there are 8 boys from Wilmette, 5 girls from Kenilworth, 9 girls from Wilmette, 5 boys from Glencoe, 5 boys from Kenilworth and 7 girls from Glenoce.

The total number of students from Kenilworth is 5 boys plus 5 girls that is 10 students.

The total number of students in the class would be 8+5+9+5+5+7=39

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}

P\text{Student will be from Kenilworth}=\frac{\text{Number of student from Kenilworth}}{\text{Total number of students}}

P\text{Student will be from Kenilworth}=\frac{10}{39}

P\text{Student will be from Kenilworth}=0.2564102564

P\text{Student will be from Kenilworth}\approx 0.256

Therefore, the probability, that the student will be from Kenilworth, is approximately 0.256.

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
tamaranim1 [39]

ANSWER

P(X=3 \: or \: X=0) = 0.45

EXPLANATION

From the above table,

P(X=0) = 0.3

and

P(X=3) = .15

P(X=3 \: or \: X=0) = P(X=3)  + P(X=0)

This implies that;

P(X=3 \: or \: X=0) = 0.15 + 0.3

P(X=3 \: or \: X=0) = 0.45

8 0
3 years ago
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Lin’s Father is paying for $50 meal. He has a $15 percent off coupon for the meal. What is the price of a discounted meal before
WINSTONCH [101]

Note: Here tax rate is note given. Consider the tax is not applied.

Given:

Lin’s Father is paying for $50 meal.

Discount = 15%

To find:

The price of a discounted meal before the tax.

Solution:

Let x be the price of a discounted meal before the tax.

According to the question,

Price of meal after discount = Price of meal before discount - Discount

50=x-\dfrac{15}{100}\times x

50=x-0.15x

50=0.85x

Divide both sides by 0.85.

\dfrac{50}{0.85}=x

58.823529=x

x\approx 58.824

Therefore, the price of a discounted meal before the tax is $58.824.

6 0
3 years ago
Given the measures b = 10, c = 8.9, and <br> B = 63°, how many triangles can possibly be formed?
lisabon 2012 [21]
Remember that if in a triangle \alpha \ \textless \ 90°and bSin \alpha \ \textless \ a\ \textless \ b, we can form two tingles. 
In our case: \alpha =B, b=a, and c=b.

To determine how many triangles we can form with the given measures, we are going to find the value of cSinB first:
8.9Sin(63)=7.9
Now, lets check if that value satisfy the inequality cSinB\ \textless \ b\ \textless \ c:
7.9\ \textless \ 10\ \textless \ 8.9

Our triangle satisfies the inequality; therefore, we can conclude that we can form two triangles with the given measures.

3 0
3 years ago
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If the three vertices of a rectangle taken in order are the points (2, -2), (8, 4) and (5, 7). The co-ordinates of the fourth ve
Sholpan [36]

Answer: (-1, 1)

<u>Step-by-step explanation:</u>

Let D represent the fourth vertex with coordinate (x, y)  

Since ABCD is a rectangle, then BC || AD and AB || DC

Since BC is parallel to AD, then they have the same slope (m) = -1

Equation of line AD: y - (-2)) = -1(x - 2)   ⇒   y + 2 = -x + 2   ⇒   y = -x

Since AB is parallel to DC, then they have the same slope (m) = 1

Equation of line DC: y - 7 = 1(x - 5)   ⇒   y - 7 = x - 5   ⇒   y = x + 2

D is where the two lines intersect so the next step is to solve the system of equations:    y = -x     and     y = x + 2

Using substitution method: -x = x + 2   ⇒   -2x = 2   ⇒   x = -1

Now solve for y:  y = -x   ⇒   y = -(-1)   ⇒   y = 1


x = -1   and y = 1


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4 years ago
Which statements about geometric sequences are correct? Check all that apply. In a geometric sequence, the ratio between each of
Montano1993 [528]

Answer: the 1st & 3rd sequence is correct

Step-by-step explanation:

R=a2/a1

8/2=4

2*4=8

8*4=32

32*4=128

Same for the other sequence

10/5=2

5*2=10

10*2=20 therefore this is not a geometric

Last is 18/3=6

3*6=18

18*6=108

108*6= 648

3 0
3 years ago
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