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Aleks [24]
3 years ago
7

The blue whale is the largest animal living on the earth. The average blue whale measures 100 feet long (30 meters) and weighs 3

00,000 pounds (136,000 kilograms). A whale’s head is 1⁄3 of the length of its body. A new baby whale is 1⁄4 the length of a grown whale. The average man is 1⁄17 the length of a blue whale, and 1⁄1,818 its weight. A human baby measures 1⁄4 of the length of an adult.
Calculate the following information:
How long is a whale’s head?
How long is a new baby whale?
How tall is the average man?
How much does the average man weigh?
How tall is the average human baby?
Mathematics
1 answer:
dangina [55]3 years ago
4 0
Whales head : 1/3(100) = 100/3 = 33.33 ft or 1/3(30) = 30/3 = 10 meters
new baby whale : 1/4(100) = 100/4 = 25 ft. or 1/4(30) = 30/4 = 7.5 meters
average man height : 1/17(100) = 100/17 = 5.88 ft or 1/17(30) = 30/17 = 1.76 m
average man weight : 1/1818(300000) = 300000/1818 = 165 lbs or 1/1818(136000) = 136000/1818 = 74.81 kilograms
human baby height : 1/4(5.88) = 5.88/4 = 1.47 ft or 1/4(1.76) = 0.44 meters

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On a particular production line, the likelihood that a light bulb is defective is 10%. seven light bulbs are randomly selected.
amid [387]

Answer:

0.9995

Step-by-step explanation:

10% = 0.10

1 - 0.10 = 0.9

n = number of light bulbs = 7

we calculate this using binomial distribution.

p(x) = nCx × p^x(1-p)^n-x

our question says at most 4 is defective

= (7C0 × 0.1⁰ × 0.9⁷) + (7C1 × 0.1¹ × 0.9⁶) + (7C2 × 0.1² × 0.9⁵) + (7C3 × 0.1³ × 0.9⁴) + (7C4 × 0.1⁴ × 0.9³)

= 0.478 + 0.372 + 0.1239 + 0.023 + 0.0026

= 0.9995

we have 0.9995 probability that at most 4 light bulbs are defective.

6 0
3 years ago
Suppose you do not know the population mean fee charged to H&R Block customers last year. Instead, suppose you take a sample
puteri [66]

Answer:

i \to a

    n = 96040000

i \to b

    n_1 =24010000

i \to c

    n_2 =41602500

ii\toa

     E = 58.16

ii\tob

    291.84  <  \mu  < 408.16\

ii\toc

    There is insufficient evidence to conclude that the analyst is right because the population mean fee by the analyst does not fall within the confidence interval

Step-by-step explanation:

From the question we are told that

     The sample size is n =  8

      The sample mean is  \= x  =  \$ 350    

      The sample standard deviation is  \$ 100

Considering question i

    i \to a

         At   E =  0.02  

given that the confidence level is 95%  =  0.95

         the level of significance would be  \alpha  =1-0.95 =  0.05

The critical value of  \frac{\alpha }{2} from the normal distribution table is  

        Z_{\frac{ \alpha }{2} } =  1.96

So  the sample size is mathematically evaluated as

            n = [ \frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ]^2

=>        n =[ \frac{ 1.96 *  100}{ 0.02} ]^2

=>         n = 96040000

 i \to b

  At  E_1 = 0.04    and  confidence level  = 95%  =>  \alpha_1  = 0.05   =>  Z_{\frac{\alpha_1 }{2} } =  1.96

             n_1 = [ \frac{Z_{\frac{\alpha_2 }{2} } *  \sigma }{E_1} ]^2

=>           n_1 =[ \frac{ 1.96 *  100}{ 0.04} ]^2

=>           n_1 =24010000

 i \to c

       At   E_2 =  0.04     confidence level  = 99%  =>    \alpha_2  = 0.01

The critical value of  \frac{\alpha_2 }{2} from the normal distribution table is  

        Z_{\frac{ \alpha_2 }{2} } = 2.58

=>    n_2 = [ \frac{Z_{\frac{\alpha_2 }{2} } *  \sigma }{E_2} ]^2

=>    n_2 =[ \frac{ 2.58 *  100}{ 0.04} ]^2

=>    n_2 =41602500

Considering ii

Given that the level of significance is  \alpha  = 0.10

Then the critical value  of  \frac{\alpha }{2} from the normal distribution table is  

           Z_{\frac{\alpha }{2} } =  1.645

Generally the margin of error is mathematically represented as

          E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

substituting values

         E = 1.645  *  \frac{100 }{\sqrt{8} }

         E = 58.16

Generally the 90% confidence interval is mathematically evaluated as

         \= x - E <  \mu  <  \= x + E

=>      350 -  58.16  <  \mu  < 350 +  58.16

=>     291.84  <  \mu  < 408.16

So the interpretation is that there is 90% confidence that the mean  fee charged to H&R Block customers last year is in the interval .So there is insufficient evidence to conclude that the analyst is right because the population mean fee by the analyst does not fall within the confidence interval.

8 0
3 years ago
What is this? I need help with a 3 of them.
Margarita [4]
For both people pay = 8w. this DOES NOT mean they made the same money. the hourly wage w could (very likely/ be different for the two employees
6 0
3 years ago
I need help on these questions​
lilavasa [31]

Answer:

9. m = -3

11. m = 1

13. m = \frac{3}{5}

3 0
3 years ago
150 - x - 2x = 120 + 2x
tamaranim1 [39]

Answer:x=-30

Step-by-step explanation:

150-x-2x=120+2x

-x-2x+150=2x+120

-3x + 150=2x+120

150=-x +120

-30=x

3 0
4 years ago
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