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blondinia [14]
3 years ago
8

WILL GIVE BRAINLIEST TO ANSWER WITH WORK SHOWN

Mathematics
2 answers:
finlep [7]3 years ago
8 0

Answer:

Step-by-step explanation:

The length of the third side is ( x - 2 )

Step-by-step explanation:

Volume of a box is the product of its length, width and height.

Volume of box = length × width × height.

One side is (x - 4) and another side is (2x + 1).

These given sides can be either length, height or width.

The volume of a box is given by V = 2x3-11x2 +10x +8. This means each of the sides are factors of the volume. To get the third side, we divide the volume by the product of the two given sides.

Product of the two given sides =

( x-4 ) (2x + 1) = 2x^2 + x - 8x + 4

= 2x^2 - 7x - 4

The long division is shown on the attached photo

The length of the third side is ( x - 2 )

zalisa [80]3 years ago
4 0

Answer:

its x-4 ig

Step-by-step explanation:

If one side of the square is x-4 then the missing side has to be x-4 also.

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An item is sold for £305. If this includes a mark up of 7%. Find the buying in price
Lady_Fox [76]

Answer:

Let the original price be 'x'

7/100 * x + x = 305

(7x+100x)/100 = 305

107x = 305 * 100

107x= 30500

x= 30500/107

x= 285.04

Therefore, the original buying price is £ 285.04

Hope you understood......

4 0
3 years ago
There are three cardinals, five sparrows and four finches near a bird feeder. If a sharp shunned hawk randomly selects one song
Hoochie [10]

Answer:

1/4

Step-by-step explanation:

The probability of it being a cardinal is the number of cardinals / the total number of possible birds the hawk could eat.

There are 3 + 5 + 4 = 12 total birds near the bird feeder.

There are 3 cardinals.

So the probability is 3/12 = 1/4 that the cardinal is eaten!

8 0
3 years ago
The mean heigh of American Males is 69.5 inches. The height of the 43 male presidents have a mean 70.78 inches and a standard de
Arisa [49]

Answer:

There is sufficient statistical evidence to suggest that the US presidents are taller than the average American male

Step-by-step explanation:

The given parameters are;

The mean height of American Males, μ = 69.5 inches

The mean height of 43 male presidents, \overline x = 70.78

The standard deviation, s = 2.77 inches

The number of male presidents = 43

The null hypothesis; H₀ μ = \overline x

The alternative hypothesis; Hₐ μ ≠ \overline x

The significance level, α = 0.05

The t test for the sample with unknown population standard deviation is given as follows;

t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}

Therefore, we have;

t=\dfrac{70.78-69.5 }{\dfrac{2.77 }{\sqrt{43}}} \approx 3.0302

The degrees of freedom, df = n - 1 = 43 - 1 = 42

The critical 't' value = 2.0181

Therefore, given that the t test value is larger than the critical-t, we reject the null hypothesis, therefore, there is sufficient statistical evidence to suggest that the US presidents are taller than the average American male

4 0
3 years ago
(14.14) larry reads that 1 out of 6 eggs contains salmonella bacteria. so he never uses more than 5 eggs in cooking. if eggs do
melomori [17]

we know that

The probability that "at least one" is the probability of exactly one, exactly 2, exactly 3, 4 and 5 contain salmonella.

The easiest way to solve this is to recognise that "at least one" is ALL 100% of the possibilities EXCEPT that none have salmonella.

If the probability that any one egg has 1/6 chance of salmonella

then

the probability that any one egg will not have salmonella = 5/6.

Therefore

for all 5 to not have salmonella


= (5/6)^5 = 3125 / 7776

= 0.401877 = 0.40 to 2 decimal places


REMEMBER this is the probability that NONE have salmonella


Therefore

the probability that at least one does = 1 - 0.40

= 0.60


the answer is

0.60 or 60%

6 0
3 years ago
Write 22 decreased by 6 as an algebraic expression
Alona [7]

Answer:

22-6

Step-by-step explanation:

there isnt a variable so the answer is 16

6 0
3 years ago
Read 2 more answers
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