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3 years ago

Krutika and Gavin have played 41 tennis matches.

Mathematics

1 answer:

Neko [114]3 years ago

5 0

Answer:

P(Kritika)= 27/41

P(Gavin)=1-(27/41)

= (41-27)/41

=14/41

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There are 400 seats in a auditorium.the students are using 3/5 of the seats and the teachers are using 60 seats.How many seats a

Elena-2011 [213]

Answer:

100 seats aren't being used.

Step-By-Step-Explanation:

3/5 of 400 is 240

240 + 60 (teacher seats) = 300

300 seats are used

100 seats aren't

8 0

3 years ago

A coin is biased such that a is times as likely to occur as a tail. Find the expected number of when this coin is tossed twice.

Sever21 [200]

Complete question:

A coin is biased such that a head is three times as likely to occur as a tail. Find the expected number of tails when this coin is tossed twice.

Answer:

1/2

Step-by-step explanation:

Head is 3 times as likely to occur as tail;

Hence,

Sample space for 2 tosses :

{HH, HH, HH, HH, HH, HH, HH, HH, HH, HT, HT, HT, HT, HT, HT, TT}

Expected probability (E(x)) = Σx*p(x)

P(x) = required outcome / Total possible outcomes

x : __________ 0 ______ 1 _______ 2

p(x) : ________9/16_____6/16_____1/16

Σx*p(x) : 0(9/16) + 1(6/16) + 2(1/16)

= 0 + 6/16 + 2/16

= 0 + 3/8 + 1/8

= 4/8

= 1/2

8 0

3 years ago

A student takes a part-time job to earn for summer travel. The number of hours, , the student has to work is inversely proportio

Andrej [43]

Answer:

(a) $h = \frac{2400}{w}$

(b)300 Hours

(d)Reduced and halved.

(e) $w = \frac{2400}{h}$

Step-by-step explanation:

(a) The number of hours worked is inversely proportional to the wage.

This is written as:

$h \propto \frac{1}{w} \\\text{Introducing variation constant k}\\h = \frac{k}{w}\\$Since the money to be raised is constant, k = $ \$2400\\Therefore, h = \frac{2400}{w}$

(b)If the student earns $8 an hour

w=$8

$\text{Number of Hours required, h} = \frac{2400}{8} =300 Hours$

(c)When the wage per hour =$16

When w=$16

$\text{Number of Hours required, h} = \frac{2400}{16} =150 Hours$

The number of hours reduced and is in fact halved.

(d)

$\text{When the wage per hour =w}, h = \frac{2400}{w}\\\text{When the wage per hour =2w}, h = \frac{2400}{2w}=\frac{1}{2} X \frac{2400}{w} =\frac{h}{2}$

The effect of raising the wage from $w to $2w per hour is that the number of hours required to work is reduced and exactly halved.

(e)The wage per hour is inversely proportional to the number of hours.

In fact,

$\text{From h = }\frac{2400}{w}\\\text{Cross Multiplying}\\hw=2400\\\text{Dividing both sides by h}\\w = \frac{2400}{h}$

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3 years ago

(1,-4), (2,1), (3,4), (3,3), (4,2) is this a function?

djverab [1.8K]

no i think because theres a negative

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3 years ago

Write a whole number that, when rounded to the nearest hundred, is 700.

omeli [17]

A number that would be rounded to 700 would be 695. if i'm wanting to round to the nearest hundred then i would look at the number behind the number i'm rounding so i would look at 9. 9 is 5 or more so we round up to 700.
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3 years ago