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elixir [45]
1 year ago
13

A drawing of a surfboard in a catalog shows its length as 8 4/9 inches. Find the actual length of the surfboard if 1/2 inch leng

th on the drawing corresponds to 3/8 foot of actual length.
Mathematics
1 answer:
jonny [76]1 year ago
6 0
3/8 of a foot = 3/8 x 12/1  or 4  1/2 inches

So our 1/2 inch grows by a factor of 9  because 4 1/2 ÷ 1/2 = 9  Think how many 1/2 dollars are in 4  1/2 dollars.  (Answer is 9)

So our 8 4/9 in the catalog has to grow the same

8  4/9   x 9  = 8  4/9  x 9/1 = 76/9 x 9/1  or 76 inches which is 6 ft 4 inches.
(76 ÷12 = 6 r4)

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Faelyn grouped the terms and factored the GCF out of the groups of the polynomial 6x4 – 8x2 + 3x2 + 4. Her work is shown.
Y_Kistochka [10]
It is hard to say how Faelyn's work shows the polynomial is prime, but it is.

There are no factors of 6*4 = 24 that add to -5, so the polynomial cannot be factored using real numbers.
_____
The expression of suggestion 2 is a different polynomial than the one Faelyn is factoring.
Taking a factor of 2x out of the first group does not help it match the factoring of the second group.
Dividing one or the other of the groups by -1 will not make the binomials the same.
8 0
1 year ago
Read 2 more answers
Which will have a higher effective interest rate — a payday loan for $1900 that is due in 14 days with a fee of $80, or a payday
Pie

Answer:

It's D.

Step-by-step explanation:

The shorter period loan has the same total interest for the same loan amount, so it has the higher effective interest rate: 80/12 is higher than 89/14.

6 0
2 years ago
Describe the transformation f(x) = √x + 1 − 5 in words. The parent function f(x) = √x has been shifted 1 unit and 5 units.
KATRIN_1 [288]

Answer:

The translation is 1 unit to the left and 5 units down

Step-by-step explanation:

we have

g(x)=\sqrt{x+1}-5

f(x)=\sqrt{x} -----> parent function

we know that

The transformation

f(x)-----> g(x) has the following rule

(x,y)-------> (x-1,y-5)

That means

The translation is 1 unit to the left and 5 units down

see the attached figure to better understand the problem

6 0
1 year ago
Read 2 more answers
A piece of equipment moves 16.8 yards in 12 minutes how many feet does it move per second?
I am Lyosha [343]

convert yards to feet and minutes to seconds

1yard=3ft

16.8yards times 3ft/1yd=50.4ft


1minute=60 seconds

12minutes times 60seconds/1min=720seconds


feet per second=50.4ft/720sec=0.07ft/sec


answer is 0.07ft/sec

6 0
1 year ago
A savings and loan association needs information concerning the checking account balances of its local customers. A random sampl
Citrus2011 [14]

Answer:

a) 98% confidence interval for the true mean checking account balance for local customers.

(453.586 , 874.693)

b)   95% confidence interval for the standard deviation.

(214.91 , 441.53)

Step-by-step explanation:

Given a size of sample 'n' =14

given mean of the sample x⁻ = $664.14

standard deviation of the sample 'S' = $297.29.

a)

<u>98% of confidence intervals</u>

<u></u>(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } , x^{-}+ t_{\alpha }\frac{S}{\sqrt{n} } )<u></u>

The degrees of freedom γ=n-1 =14-1 =13

t₁₃ = 2.650 at 98% of confidence level of signification.

(664.14- 2.650\frac{297.29}{\sqrt{14} } , 664.14+ 2.650\frac{297.29}{\sqrt{14} } )

on calculation, we get

(664.14-210.553 , 664.14+210.553)

(453.586 , 874.693)

98% confidence interval for the true mean checking account balance for local customers.

(453.586 , 874.693)

<u>95% of confidence intervals</u>

({s\sqrt{\frac{n-1}{X^{2} _{(\frac{\alpha }{2} ,n-1) } } } ,s\sqrt{\frac{n-1}{X^2_{\frac{1-\alpha }{2},n-1 } } }  )

The degrees of freedom γ=n-1 =14-1 =13

X^2_{0.05,13} =22.36     (check table)

X^2_{0.95,13} = 5.892    (check table)

(297.29. (\sqrt{\frac{14-1}{X^2_{0.05,13}  } } ),297.29(\sqrt{\frac{14-1}{X^2_{0.95,13} } } )

(297.29. (\sqrt{\frac{14-1}{22.36  } } ),297.29(\sqrt{\frac{14-1}{5.892 } } )

(214.91 , 441.53)

95% confidence interval for the standard deviation.

(214.91 , 441.53)

7 0
2 years ago
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