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Ray Of Light [21]
3 years ago
8

Students at a local university have the option of taking freshman seminars during their first year in college. A survey of the f

reshmen revealed the following: Among the social science majors, 50% chose to take a freshman seminar; among the humanities majors, 65% chose to take a freshman seminar; and among the physical science majors, it was 30% . Freshmen make up 32% of undergraduates. The probability of taking a freshman seminar, if a student is a science major, is:
Mathematics
1 answer:
Irina-Kira [14]3 years ago
3 0

complete question

the probability of taking a freshman seminar, if a student is a science major, is:

a) a total probability.

b) a conditional probability.

c) a complete probability.

d) a joint probability.

Answer:

B. Conditional probability

Step-by-step explanation:

In this given question, what we ant to do is to find the probability thst a student who is a science major is taking a freshman seminar. This clearly a case of conditional probability.

In a conditional probability, we are trying to find out the probability of an event occurring given that another event has already occurred. since the student is a science major, the probability of the student taking a freshman seminar is to be determined.

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Yasmin has a quarter and a nickel. She flipped both coins. What are the chances that both coins land on heads?
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A

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Please helpp due soon!! 10 points :)
zubka84 [21]

Answer:

2.3\:\mathrm{in^3},\\1.3\:\mathrm{fl\:oz}

Step-by-step explanation:

The volume of a cone with radius r and height h is equal to V=\frac{1}{3}\cdot r^2\pi\cdot h.

What we're given:

  • Since radius is half the diameter, r is 1.1
  • Height of 1.8

Substituting given values, we get:

V=\frac{1}{3}\cdot 1.1^2\pi \cdot 1.8=0.726\pi\approx \boxed{2.3\:\mathrm{in^3}}

Convert to fluid ounces using the conversion given in the question:

0.726\pi}\cdot \frac{0.554}{1}\approx \boxed{{1.3\:\mathrm{fl\:oz.}}}

5 0
3 years ago
The dimensions of the tank are 50 cm by 32 cm by 20 cm. The tank is full of water and sand. The ratio of the volume of water to
Sauron [17]

Given:

Dimensions of a tank are 50 cm by 32 cm by 20 cm

The tank is full of water and sand

Ratio of volume of water to the volume of sand is 5:1

To find:

Volume of water in the tank in liters

Solution:

Without loss of generality, let,

Length of tank = 50 cm

Breadth of tank = 32 cm

Height of tank = 20 cm

Then, we have,

Total Volume of the tank = Length * Breadth * Height

\Rightarrow Total Volume = 50*32*20 cc

\Rightarrow Total Volume = 32000 cc

It is given that,

Volume of water : Volume of sand = 5:1

\Rightarrow (Volume of water)/(Volume of sand) = 5/1

Cross multiplying, we have,

Volume of sand = (Volume of water)/5

It is also given that the tank is full of water and sand. This implies that,

Volume of water + Volume of sand = Total Volume

Using the value, we obtained, we get,

Volume of water + (Volume of water)/5 = Total Volume

\Rightarrow (6 * Volume of water)/5 = Total Volume

Plugging in the value of total volume, we get,

\Rightarrow (6 * Volume of water)/5 = 32000 cc

\Rightarrow Volume of water = \frac{32000*5}{6} cc

\Rightarrow Volume of water \approx 26,666.6667 cc

We know that,

1 cc = 0.001 liters

\Rightarrow 26,666.6667 cc = (26666.6667 * 0.001) liters

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Thus, Volume of water in the tank is approximately 26.667 liters

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Volume of water in the tank (in liters) is approximately 26.667 liters

4 0
2 years ago
What is the value of x?
Phantasy [73]

Answer:

value of x = 5.8 mm

Step-by-step explanation:

We have given,

Two right triangles EDH and EDG.

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ED = √(56²-35²) = 7√39 = 43.71 mm

Now, Consider right triangle EDG

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x+4 = √(44.8² - (7√39)²)

x+4 = 9.8

or x = 9.8 - 4 = 5.8 mm

Hence we got the value of x = 5.8 mm

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