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cestrela7 [59]
3 years ago
6

PLS HELP!!

Mathematics
1 answer:
GuDViN [60]3 years ago
7 0
25.69 + .75= $26.44

Hope this helps.
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Data from the article "The Osteological Paradox: Problems inferring Prehistoric Health from Skeletal Samples" (Current Anthropol
iris [78.8K]

Answer:

(a) P (X < 109.78) = 0.9484.

(b) P (X < 109.78) = 0.9484.

(c) P (97 < X < 106) = 0.5328.

(d) P (X < 85.6 or X > 111.4) = 0.0369.

(e) P (X > 103) = 0.3085.

(f) P (X < 98.2) = 0.3821.

(g) P (100 < X < 124) = 0.5000.

(h) The middle 80% of all heights of 5 year old children fall between 92.31 and 107.70.

Step-by-step explanation:

It is provided that <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 100 and standard deviation, <em>σ</em> = 6.

(a)

Compute the value of P (X > 89.2) as follows:

P (X>89.2)=P(\frac{X-\mu}{\sigma}>\frac{89.2-100}{6})\\=P(Z>-1.80)\\=P(Z

Thus, the value of P (X > 89.2) is 0.9641.

(b)

Compute the value of P (X < 109.78) as follows:

P (X

Thus, the value of P (X < 109.78) is 0.9484.

(c)

Compute the value of P (97 < X < 106) as follows;

P (97 < X < 106) = P (X < 106) - P (X < 97)

                          =P(\frac{X-\mu}{\sigma}

Thus, the value of P (97 < X < 106) is 0.5328.

(d)

Compute the value of P (X < 85.6 or X > 111.4) as follows;

P (X < 85.6 or X > 111.4) = P (X < 85.6) + P (X > 111.4)

                                       =P(\frac{X-\mu}{\sigma}\frac{111.4-100}{6})\\=P(Z1.9)\\=0.0082+0.0287\\=0.0369

Thus, the value of P (X < 85.6 or X > 111.4) is 0.0369.

(e)

Compute the value of P (X > 103) as follows:

P (X>103)=P(\frac{X-\mu}{\sigma}>\frac{103-100}{6})\\=P(Z>0.50)\\=14-P(Z

Thus, the value of P (X > 103) is 0.3085.

(f)

Compute the value of P (X < 98.2) as follows:

P (X

Thus, the value of P (X < 98.2) is 0.3821.

(g)

Compute the value of P (100 < X < 124) as follows;

P (100< X < 124) = P (X < 124) - P (X < 100)

                          =P(\frac{X-\mu}{\sigma}

Thus, the value of P (100 < X < 124) is 0.5000.

(h)

Compute the value of <em>x</em>₁ and <em>x</em>₂ as follows if P (<em>x</em>₁ < X < <em>x</em>₂) = 0.80 as follows:

P(X_{1}

The value of <em>z</em> is ± 1.282.

The value of <em>x</em>₁ and <em>x</em>₂ are:

-z=\frac{x_{1}-\mu}{\sigma} \\-1.282=\frac{x_{1}-100}{6}\\x_{1}=100-(6\times1.282)\\=92.308\\\approx92.31       z=\frac{x_{2}-\mu}{\sigma} \\1.282=\frac{x_{2}-100}{6}\\x_{2}=100+(6\times1.282)\\=107.692\\\approx107.70

Thus, the middle 80% of all heights of 5 year old children fall between 92.31 and 107.70.

5 0
3 years ago
I would really appreciate some help, please!
levacccp [35]

Answer: 66 miles per hour i belive

Step-by-step explanation: good luck

7 0
2 years ago
Read 2 more answers
F=(9/5) C +32, C=15 Can you show me what a graph looks like?
CaHeK987 [17]

Answer:

Step-by-step explanation:

F=(9/5) C +32 has the form of the equation of a straight line:  y = mx + b, where m is the slope and b is the y-intercept.  By comparing these two equations we see that the slope, m, is (9/5) and the y-intercept is 32 (or (0, 32)).

To graph this, first locate the y-intercept (0, 32); put a dark dot there.  Since the slope is 32, or 32/1, move your pencil point 1 unit to the right, from (0, 32) to (1, 32), and then from (1, 32) move y our pencil point 32 units upward.  Plot another dark dot there and then draw a straight line through these two points.

We can evaluate the given function F=(9/5) C +32 at C = 15 by replacing C in the formula with 15:  F = (9/5)(15) + 32, or F = 59.

8 0
3 years ago
. An urn contains 6 blue and 5 red marbles. Reach in and grab one marble and then another (without replacing the first one). Wha
natima [27]

Probability that you have chosen 2 red marbles is 3/11

<h2>How to solve?</h2>

Total number of marbles = 6 + 5 = 11

Number of red marbles = 6

Number of blue marbles = 5

Important Points:

1. Replacement is not allowed

2. Blue is followed by Red

Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.

Probability of Blue first = 5/11

Probability of Red second = 6/10 (one marble is already taken out)

Probability = 5/11 * 6/10 = 3/11

Learn more about Probability:

brainly.com/question/4313883

#SPJ4

8 0
2 years ago
What is the sum of 1+2+.....+50?​
Natasha_Volkova [10]

Answer:

<u>sum</u><u> </u><u>is</u><u> </u><u>1</u><u>2</u><u>7</u><u>5</u>

Step-by-step explanation:

sum =  \frac{n}{2} [2a + (n - 1)d] \\  \\ sum =  \frac{50}{2} [(2 \times 1) + (50 - 1) \times 1] \\  \\ sum = 25(51) \\ sum = 1275

7 0
3 years ago
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