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MakcuM [25]
2 years ago
4

If you were asked to play a game in which you tossed a fair coin three times and were given $2 for every head you threw, how muc

h would you expect to win on average?
Mathematics
1 answer:
andriy [413]2 years ago
5 0
<span>You would expect to win $3 on average over many games. This is a probability problem, and can be solved using the following math: (1/2)*2 + (1/2)*2 + (1/2)*2 = 3 There is always a 50/50 chance you will get two dollars, so flipping the coin once averages $1 wins, while three times is three times that.</span>
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Alice is riding a Ferris wheel, where t is time in seconds. Suppose the Ferris wheel is 22 m tall. Let h(t) = 11cos(12t) represe
Soloha48 [4]

Answer:

Alice reaches 11 metres below the centre as lowest height.

Step-by-step explanation:

Cosine is a bounded function between -1 and 1, so that the lowest height that Alice achieves in Ferris wheel is:

h(t) = 11\cdot \cos (12\cdot t)

Where:

t - Time, measured in seconds.

h(t) - Height with respect to centre, measured in metres.

If \cos (12\cdot t) = -1, then:

h_{min} = 11\cdot (-1)

h_{min} = -11\,m

Alice reaches 11 metres below the centre as lowest height.

7 0
2 years ago
On sunday 1/16 people who visit were senior citizens, 3/16 were infants, 3/8 were children and 3/8 were adults, how many of each
mamaluj [8]

Answer:

Out of total people visited the zoo on Sunday , 6.25% was senior citizen ,  18.75% were infants , 35% were children and 35% were adult.

Step-by-step explanation:

let total number of people visited the group  = x

so number of senior citizens = x × 1/16 = x/16

Percentage of  senior citizens = (number of senior citizens ÷ total number of people visited the group) × 100

= (x/16 ÷ x)  × 100 = 100/16 = 6.25%

number of infants = 3/16 × x = 3x/16

Percentage of  infants =(number of infants  ÷ total number of people visited the group) × 100 = (3x/16 ÷ x)  × 100 = 300/16 = 18.75%

number of  children = 3/8 × x = 3x/8

Percentage of  children =(number of children ÷ total number of people visited the group) × 100 = (3x/8 ÷ x)  × 100 = 300/8 = 37.5%

number of  adults = 3/8 × x = 3x/8

Percentage of  adults =(number of adults ÷ total number of people visited the group) × 100 = (3x/8 ÷ x)  × 100 = 300/8 = 37.5%.

Hence we can conclude that Out of total people visited the zoo on Sunday , 6.25% was senior citizen ,  18.75% were infants , 35% were children and 35% were adult.






4 0
2 years ago
If ∆ABC and ∆GEF are congruent, the value of x is___? and the value of y is ___?
attashe74 [19]

<u>Answer-</u>

<em>The value of y is </em><em>6 units</em><em>.</em>

<u>Solution-</u>

Given ∆ABC ≅ ∆GEF

If two triangles are congruent, then the corresponding sides are also congruent.

So,

EF = BC, GF = AC

Putting the values,

\Rightarrow x-y=4 --------------1

\Rightarrow x-8=2

\Rightarrow x=10 --------------------2

Putting the values of x in equation 1,

\Rightarrow 10-y=4

\Rightarrow y=10-4=6

Therefore, the value of y is 6 units.

7 0
2 years ago
Read 2 more answers
What is the probability that a point chosen at random in the triangle is also in the blue square? A blue square inside of an uns
Dmitrij [34]

Answer:

One-third

Step-by-step explanation:

we know that

The probability that a point chosen at random in the triangle is also in the blue square is equal to divide the area of the square by the area of triangle

step 1

Determine the area of triangle

A=\frac{1}{2}(9)(6)=27\ in^2

step 2

Determine the area of the square

A=(3^2)=9\ in^2

step 3

Determine the probability

P=\frac{9}{27}

simplify

P=\frac{1}{3}

therefore

One-third

5 0
2 years ago
It cost Naomi $7.70 to send 154 text messages. How many text messages did she send
s2008m [1.1K]

You have to find the unit rate

SO..

7.70 / 154 = 0.05

So it cost her 0.05 cents for each text.

So then you divide $ 5.25 by the unit rate to get the number of text

5.25 /0.05 = 105

so she sent 105 text

To check it you just multiply the unit rate by the number of text you got and you show come up with $ 5.25

0.05 x 105 = 5.25

4 0
2 years ago
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