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qwelly [4]
3 years ago
5

Tia performed an experiment in which she flipped a coin 100 times. The coin landed heads up 49 times and tails up 51 times. The

number 100 represents the in the experiment. 49/100 represents the of the coin landing heads up.
Mathematics
2 answers:
Serga [27]3 years ago
6 0

Answer:

Step-by-step explanation:

100 : number of trials

49/100: experimental probability

Snezhnost [94]3 years ago
3 0

Answer:

100                  number of trials

49/100            experimental probability

Step-by-step explanation:

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motikmotik

Answer:

We want a polynomial of smallest degree with rational coefficients with zeros in \sqrt{7}, 1 - \sqrt{6} and -3. The last root gives us the factor (x+3). Hence, our polynomial is

P(x) =(x+3)q(x)

where q is a polynomial with rational coefficients and roots \sqrt{7} and 1 - \sqrt{6}. The root \sqrt{7} gives us a factor x-\sqrt{7}, but in order to obtain rational coefficients we must consider the factor x^2-7.

An analogue idea works with 1 - \sqrt{6}. For convenience write  x - 1 + \sqrt{6} = ( x - 1) + \sqrt{6}. This gives the factor (x-1)^2-6. Hence,

P(x) = (x+3)(x^2-7)((x-1)^2-6)=x^5+x^4-18x^3-22x^2+77x+105

Notice that P(-1)=24. So, in order to satisfy the last condition we divide by 3 the whole polynomial, without altering its roots. Finally, the wanted polynomial is

P(x) =(1/3)x^5+(1/3)x^4-6x^3-(22/3)x^2+(77/3)x+35

Step-by-step explanation:

We must have present that any polynomial it's determined by its roots up to a constant factor. But here we have irrational ones, in order to eliminate the irrational coefficients that a factor of the type x-\sqrt7 will introduce in the expression, we need to multiply by its conjugate x+\sqrt7. Hence, we will obtain x^2-7 that have rational coefficients. Finally, the last condition is given with the intention to fix the constant factor. Usually it is enough to evaluate in the point and obtain the necessary factor.

4 0
2 years ago
Round 19.432 to the nearest whole
andre [41]

The nearest whole number is 20.

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3 years ago
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Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed.
OLEGan [10]

Answer: the value of population standard deviation is 3.87

Step-by-step explanation:

From the information given,

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We will apply the formula

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Since confidence interval = 2.694,

It becomes

2.694 = 1.96 × standard deviation/√8

Dividing both sides of the equation by 1.96, it becomes

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Standard deviation = 1.37 × √8

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There are 17 students in the third grade and twice that number in the fourth grade. There are
Andrej [43]
17 + 34 + 11 + 19 = 91
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A small container and its lid are shown below.
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