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3 years ago

The experimental probability that Alexander wins tennis match is 0.21 or 21/100

Mathematics

1 answer:

Fynjy0 [20]3 years ago

8 0

The experimental probability that

Alexander wins a tennis match is 0.21.

If he plays 40 tennis matches in the next week, about how many matches can

Alexander expect to lose?

Is it 32 matches? i got this from google

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Priscilla is on her school’s swim team. Her coach has noted the number of laps Priscilla and five of her teammates can swim with

ruslelena [56]

Answer:

Mean: 5, Median: 5, Mode: 5, Range: 4

Step-by-step explanation:

Mean: 5

5 + 4 + 6 + 3 + 7 + 5 = 30

30/6 = 5

Median: 5

3, 4, 5, 5, 6, 7,

Mode: 5

3, 4, 5, 5, 6, 7

2 fives

Range: 4

7 - 3 = 4

5 0

3 years ago

Divide 29 into two parts so that the sun of the squares of the parts is 425.Find the value of each Part.

Taya2010 [7]

Answer:

13 and 16

Step-by-step explanation:

let the 2 parts be x and y, then

x + y = 29 → (1) and

x² + y² = 425 → (2)

From (1) → x = 29 - y → (3)

substitute x = 29 - y into (2)

(29 - y)² + y² = 425 ( expand factor )

841 - 58y + y² + y² = 425 ( rearrange into standard form )

2y² - 58y + 416 = 0 ← in standard quadratic form

divide all terms by 2

y² - 29y + 208 = 0

Consider the factors of 208 which sum to - 29

These are - 13 and - 16, hence

(y - 13)(y - 16) = 0

equate each factor to zero and solve for y

y - 13 = 0 ⇒ y = 13

y - 16 = 0 ⇒ y = 16

substitute these values into (3)

x = 29 - 13 = 16 and x = 29 - 16 = 13

The 2 parts are 13 and 16

4 0

3 years ago

Read 2 more answers

What is the median of 40,33,37,54,41,34,27,39,35

Sauron [17]

Answer:

It's 37

Step-by-step explanation:

The given data set is ;

40,33,37,54,41,34,27,39,35

We arrange the data set in ascending order to obtain;

{27,33,34,35,37,39,40,41,54}

The median is the middle number {37}

8 0

3 years ago

An engineer commutes daily from her suburban home to her midtown office. The average time for a one-way trip is 36 minutes, with

Ivanshal [37]

Answer:

57.93% probability that a trip will take at least 35 minutes.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 36, \sigma = 4.9$

What is the probability that a trip will take at least 35 minutes

This probability is 1 subtracted by the pvalue of Z when X = 35. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{35 - 36}{4.9}$

$Z = -0.2$

$Z = -0.2$ has a pvalue of 0.4207

1 - 0.4207 = 0.5793

57.93% probability that a trip will take at least 35 minutes.

3 0

3 years ago

Dada la ecuacion 25x2 + 4y2 = 100, determina las coordenadas de los vertices, focos, las longitudes de los respectivos ejes mayo

Likurg_2 [28]

Answer:

The given equation is

$25x^{2} +4y^{2}=100$

Which represents an elipse.

To find its elements, we need to divide the equation by 100

$\frac{25x^{2} +4y^{2} }{100} =\frac{100}{100} \\\frac{x^{2} }{4} +\frac{y^{2} }{25} =1$

Where $a^{2} =25$ and $b^{2}=4$ . Remember that the greatest denominator is $a$ , and the least is $b$ . So, we extract the square root on each equation.

$a=5$ and $b=2$ .

In a elipse, we have a major axis and a minor axis. In this case, the major axis is vertical and the minor axis is horizontal, that means this is a vertical elipse.

The length of the major axis is $2a=2(5)=10$ .