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navik [9.2K]
2 years ago
15

Each student in a class plays one of three sports soccer, volleyball or basketball. 1/4 of them play soccer. 3/5 of them play vo

lleyball. How many of them play basketball ?
Mathematics
1 answer:
Setler79 [48]2 years ago
7 0

Answer: 3/20 of the class

Step-by-step explanation:

Add the amount of students that play soccer to amount of students that play volleyball

1/4 + 3/5 = 17/20

Subtract 17/20 (soccer and volley ball) from 20/20 or 1

20/20 - 17/20 = 3/20

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According to Net Market Share, Microsoft's Internet Explorer browser has 53.4% of the global market. A random sample of 70 users
Natalija [7]

Answer:

Probability that 32 or more from this sample used Internet Explorer as their browser is 0.9015.

Step-by-step explanation:

We are given that according to Net Market Share, Microsoft's Internet Explorer browser has 53.4% of the global market.

A random sample of 70 users was selected.

Let \hat p = <u><em>sample proportion of users who used Internet Explorer as their browser.</em></u>

The z score probability distribution for sample proportion is given by;

                            Z  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, p = population proportion of users who use internet explorer = 53.4%

           \hat p = sample proportion = \frac{32}{70} = 0.457

           n = sample of users = 70

Now, probability that 32 or more from this sample used Internet Explorer as their browser is given by = P( \hat p \geq 0.457)

      P( \hat p \geq 0.457) = P( \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } \geq \frac{0.457-0.534}{\sqrt{\frac{0.457(1-0.457)}{70} } } ) = P(Z \geq -1.29)

                            = P(Z \leq 1.29) = <u>0.9015</u>

The above probability is calculated by looking at the value of x = 1.29 in the z table which has an area of 0.9015.

4 0
2 years ago
If candies are sold at 3 pcs for php.2.00.how many candies can melai get if she has php20.00?​
Marrrta [24]
If you’re saying that 3 pieces costs 2.00 then the answer is 30. 2x10 is the $20.00 so 3x10 = 30 she can buy
8 0
2 years ago
Find the 88th term of the arithmetic sequence 26, 28, 30,...
ICE Princess25 [194]

Answer:

200

Step-by-step explanation:

Given Arithmetic sequence is: 26, 28, 30,...

First term a = 26

Common Difference d = 2

n = 88

\because t_n=a +(n-1) d \\  \therefore \: t_{88}=26 +(88-1)  \times 2 \\ \therefore \: t_{88}=26 +87  \times 2 \\ \therefore \: t_{88}=26 +174 \\ \huge \red{ \boxed{ \therefore \: t_{88}=200}} \\

4 0
2 years ago
Gerry wants to construct a triangle with segments that are 4, 6, and 11 inches long. Is his triangle possible? Explain how you k
Margarita [4]

Answer:

No

Step-by-step explanation:

Because, the Pythagorean Inequality Theorem states that the two smallest angles should add up to be more than the third angle.

4+6=10  

11 is bigger than 10, still.

Therefore, no the triangle is not possible.

3 0
2 years ago
Read 2 more answers
Find the eccentricity, b. identify the conic, c. give an equation of the directrix, and d. sketch the conic.
densk [106]

Answer:

a) 10/3  

b) hyperbola

c) x = ± 6/5

Step-by-step explanation:

a) A conic section with a focus at the origin, a directrix of x = ±p where p is a positive real number and positive eccentricity (e) has a polar equation:

r=\frac{ep}{1\pm e*cos\theta}

Given the conic equation: r=\frac{12}{3-10cos\theta}

We have to make it to be in the form r=\frac{ep}{1\pm e*cos\theta}:

r=\frac{12}{3-10cos\theta}\\\\multiply\ both\ sides\ by\ \frac{1}{3} \\\\r=\frac{12*\frac{1}{3}}{(3-10cos\theta)*\frac{1}{3}}\\\\r=\frac{12*\frac{1}{3}}{3*\frac{1}{3}-10cos\theta*\frac{1}{3}}\\\\r=\frac{4}{1-\frac{10}{3}cos\theta } \\\\r=\frac{\frac{10}{3}(\frac{6}{5} ) }{1-\frac{10}{3}cos\theta }

Comparing with  r=\frac{ep}{1\pm e*cos\theta}

e = 10/3 = 3.3333, p = 6/5

b) since the eccentricity = 3.33 > 1, it is a hyperbola

c) The equation of the directrix is x = ±p = ± 6/5

6 0
2 years ago
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