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Nataly_w
1 month ago
10

Mr. Garcia has 15 boys and 10 girls in his math class. He selects two students at random to demonstrate how they solved the day’

s challenge assignment. What is the probability that both students are girls?
Mathematics
2 answers:
Svet_ta [12.7K]1 month ago
6 0
The answer is 3/20.
Leona [12.6K]1 month ago
4 0
Detailed explanation: If the class has 15 boys and 10 girls, this totals 25 students. The likelihood of selecting a girl first would be \frac{10}{25}. After that selection, there would be one fewer girl and overall student, resulting in the probability for choosing another girl being \frac{9}{24}. The final probability is obtained by multiplying these two results to yield \frac{10}{25}*\frac{9}{24}=\frac{2}{5}*\frac{3}{8}=\frac{3}{20}.
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A sociologist wishes to see if it is true that for a certain group of professional women, the average age at which they have the
babunello [11817]

Response:

Z = 2.1\ is\ higher\ than\ 1.96, we\ reject\ H_o

Clarification:

The explanation for the provided question is outlined below:

The hypothesis test indicates that

H_o: Mean = 28.6

H_a: Mean\ which\ is\ not\ equals\ 28.6

The test statistic calculated is

Z = \frac{(\bar X - Mean)}{\frac{Population\ standard\ deviation}{vn} }

Z = \frac{(30.06 - 28.6)}{\frac{4.18}{6} }

= 2.1

As per the given information, α = 0.05,

Thus, the critical threshold is

IZ(0.025)I = 1.96

(as per the standard normal table).

Summarily

Z = 2.1\ is\ higher\ than\ 1.96, we\ reject\ H_o

3 0
2 months ago
Town Hall is located 4.3 miles directly east of the middle school. The fire station is located 1.7 miles directly north of Town
PIT_PIT [12445]

Answer:

2.1 miles

Step-by-step explanation:

Refer to the attached illustration (you need to include all the mentioned locations and the distances between them),

enabling us to create a right triangle between the school and the hospital with side measures of: 1.7 and 1.2 miles

and the green line represents the direct path from the school to the hospital; thus, applying the Pythagorean theorem will yield the result:

\sqrt{1.7^2+1.2^2}\\=\sqrt{2.89+1.44}\\=\sqrt{4.33} \\ =2.081

When rounded to the nearest tenth:

2.1 miles

4 0
2 months ago
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