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oee [108]
3 years ago
8

‼️Problem Solving‼️

Mathematics
2 answers:
sashaice [31]3 years ago
6 0

Answer:

12 hours

Step-by-step explanation:

He earns R150 per hour and he wants to earn R1800:

1800/150 = 12

He must work 12 hours to earn R1800.

enot [183]3 years ago
5 0

Step-by-step explanation:

150/1800

=12

he must work 12 hours to earn rs.1800

mark me as brainliest if this helps to u

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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.

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It took Melinda 60 minutes to run 5 miles. How many miles per minute did it take Melinda?
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It took her 12 minutes
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Jack gives more money

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scott started his banking account with $150 and is spending $7 per day on lunch. this situation models which type of function ​
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Answer:

linear function:  y = -7x + 150

Step-by-step explanation:

Scott's situation represents a linear function because he is spending $7 each day on lunch.  His initial amount in his bank account is $150 and each day he spends the same rate on lunch, $7.  So, for any amount of days - represented by 'x' in the equation, you would multiply by -7 (since he is spending) and subtract this amount from his original amount of $150.  In this equation, 'y' is equal to his total after 'x' amount of days.  

7 0
3 years ago
1/3 of a number T is less than or equal to five
ZanzabumX [31]

Answer: x ≤ 15

Step-by-step explanation: All we need to do is divide both sides by 1/3, so1/3x / 1/3 and 5/ 1/3 = 15. So x  ≤ 15.

Hope this helps!

8 0
3 years ago
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