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OleMash [197]
3 years ago
14

Who can help me with this

Mathematics
1 answer:
Jlenok [28]3 years ago
3 0
The answer would be A.
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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 37 o
just olya [345]

Answer:

a) 68 % will lie between 30 and 44 ounces

b) between 23 and 44 ounces will lie 81,5 %

Step-by-step explanation: See Annex

a) Normal Distribution  N ( 37, 7)

The Empirical Rule establishes that 68 % of values will be at

μ  ±  1 σ      where μ is the mean and σ the standard deviation

Then:   37 - 7  = 30    and 37 + 7 = 44

68 % of the values will lie between  30 and 44 ounces

b) And between  23 and 44 we should find:

We have 95 %  of values between

μ  ± 2*σ  

In our case to the left of the value (mean 0 ) and up to the value 23 we get 95/2 = 47,5 % and to the right of the value (mean 0 ) and up to 44 we half 68/2 = 34 %

Then between 23 and 44, we have 47,5 + 34 = 81,5 %

8 0
3 years ago
Use a linear approximation (or differentials) to estimate the given number.
bagirrra123 [75]
Would use the algorithm for solving square root.

For square root,  √n

x₁ = 0.5(x₀ + n/x₀)        

(This formula is known and for square root, and can be derived using Newton-Raphson's approximation equation)

Where x₀ is the initial guess.  x₁ becomes the new guess.

For √100.6  let our initial guess be 10,  x₀ = 10,  n = 100.6

Our approximation shall be to 3 decimal places. Once we get the same answer twice we stop the algorithm.

x₀ = 10,  x₁ = 0.5(x₀ + n/x₀),    x₁ = 0.5(10 + 100.6/10)  = 10.030, x₁ = 10.030

x₂ = 0.5(x₁ + n/x₁),    x = 0.5(10.030 + 100.6/10.030)  ≈10.015,  x₂ ≈ 10.030 (to 3 decimal places)

Since x₂≈ x₁, the algorithm stops.

So the √100.6 is ≈ 10.030 to 3 decimal places.

I hope this helps.
4 0
3 years ago
A basketball team will play 12 home games during the season. it has played 6 home games so far. of the season's remaining games,
Arisa [49]

Answer:

18

Step-by-step explanation:

⅓g + 6 = 12

⅓g       =  6     Subtracted 6 from each side

   g      = 18     Multiplied each side by 3

18 games remain in the season.

Check:

⅓ × 18 + 6 = 12

   6     + 6 = 12

           12 = 12

3 0
3 years ago
I need help with these two
castortr0y [4]
Example 7:
$2250 x 7.65% = $2250 x .0765 = $172.13
$172.13 is withheld for Social Security and Medicare.

Example 8:
$36,000 * 27% = $36,000 x .27= $9,270
$36,000 - $9,270 = $26,730
He makes $26,730 after deductions.
3 0
3 years ago
Find the 6th term of the sequence with t1 = -4 and tn = 5tn-1
Sergeu [11.5K]

! hello : <span>
t1 = -4 and tn = 5tn-1
n = 2 : t2 =5t1-1 =5(-4)-1 =-21
n = 3 : t3=5t2-1 =5(-21)-1 =-106
n = 4 : t4 =5t3-1 =5(-106)-1 =-531
n = 5: t5 =5t4-1 =5(-531)-1 =-2656
<span>n = 6 : t2 =5t5-1 =5(-2656)-1 =-13281</span></span>

5 0
3 years ago
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