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castortr0y [4]
3 years ago
7

14(150+10d)+23(80+6d)​

Mathematics
2 answers:
algol133 years ago
4 0

Answer:

3940+278d

Step-by-step explanation:

1. Distribute 14 and 23 through their parenthesis,

2100 + 140d + 1840 +138d

2. Add the common terms,

3940+ 278d

dem82 [27]3 years ago
3 0
Do: 14x150+14x10d+23x80+23x6d
Hope this helps
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Construct a​ 99% confidence interval for the population​ mean, mu. Assume the population has a normal distribution. A group of 1
Zarrin [17]

Answer:

99% confidence interval for the population​ mean is [19.891 , 24.909].

Step-by-step explanation:

We are given that a group of 19 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8 years.

Assuming the population has a normal distribution.

Firstly, the pivotal quantity for 99% confidence interval for the population​ mean is given by;

         P.Q. = \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, \bar X = sample mean age of selected students = 22.4 years

             s = sample standard deviation = 3.8 years

             n = sample of students = 19

             \mu = population mean

<em>Here for constructing 99% confidence interval we have used t statistics because we don't know about population standard deviation.</em>

So, 99% confidence interval for the population​ mean, \mu is ;

P(-2.878 < t_1_8 < 2.878) = 0.99  {As the critical value of t at 18 degree of

                                                freedom are -2.878 & 2.878 with P = 0.5%}

P(-2.878 < \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } < 2.878) = 0.99

P( -2.878 \times {\frac{s}{\sqrt{n} } } < {\bar X - \mu} < 2.878 \times {\frac{s}{\sqrt{n} } } ) = 0.99

P( \bar X -2.878 \times {\frac{s}{\sqrt{n} } < \mu < \bar X +2.878 \times {\frac{s}{\sqrt{n} } ) = 0.99

<u>99% confidence interval for</u> \mu = [ \bar X -2.878 \times {\frac{s}{\sqrt{n} } , \bar X +2.878 \times {\frac{s}{\sqrt{n} } ]

                                                 = [ 22.4 -2.878 \times {\frac{3.8}{\sqrt{19} } , 22.4 +2.878 \times {\frac{3.8}{\sqrt{19} } ]

                                                 = [19.891 , 24.909]

Therefore, 99% confidence interval for the population​ mean is [19.891 , 24.909].

6 0
3 years ago
Which part of the expression is a factor 7(x+8)<br><br> A. 21<br> B.8<br> C. 3x<br> D. 7
Sever21 [200]
It is 7. None of the other ones fit at all
8 0
2 years ago
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Colin buys a car for £27900 he
gogolik [260]
£27900*0.97^2=£26251.11

4 0
2 years ago
Mrs. JOHNSON paid $40.68 for 3kg of shrimp. What’s the cost of 1 kilogram of shrimp?
Goshia [24]

Answer:

It is 13.56

Step-by-step explanation:

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4 0
3 years ago
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What is the answer to this 19 3/4 / 2
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Answer:

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Step-by-step explanation:

19 3/4 = 79/4

79/4 / 2 is same as 79/4 * 1/2

79/8

Answer:  79/8

6 0
3 years ago
Read 2 more answers
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