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Advocard [28]
3 years ago
5

amy bought a square table for her kitchen. The area of the table’s surface is 99ft². What is the best approximate length of one

side of the table?
Mathematics
1 answer:
Talja [164]3 years ago
8 0
Because we are given the area, work backwards by taking the square root for each sides of formula.

A (area) = 2 * (L/Length) / or (L/Length)^2
A = L2
99 ft^2 = L^2
√99 ft^2 = √L^2
9.9498743710662 ft = L
So, Length (L) = 9.9498743710662 ft.
(this length value applies for 4 (4x) since it's a 4-equal side polygon shape)
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A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name br
Marianna [84]

Answer:

<em>The calculated value  |Z| = |-2.5| >2.326 at 0.05 level of significance</em>

<em>The alternative hypothesis is accepted at a 0.05 level of significance</em>

The manager of  Publix in Clemson believes 64% is too high for his own store

Step-by-step explanation:

<u><em>Step:-1</em></u>

Given that the consumer Reports showed that 64% of supermarket shoppers.

Given that the population proportion

                                 P = 0.64

Given that random sample size 'n' = 100

Given that 52 believe the supermarket brands were as good as the national brands.

<em>sample proportion</em>

<em>                           </em>p^{-} = \frac{x}{n} = \frac{52}{100} = 0.52<em></em>

<u><em>Step:-2</em></u>

<u><em>Null hypothesis: </em></u>The manager of the Publix in Clemson believes 64% is too low for his own store

μ < 0.64

<u><em>Alternative Hypothesis:H₁:</em></u>μ > 0.64

Test statistic

               Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }

               Z = \frac{0.52-0.64}{\sqrt{\frac{0.64 X 0.36}{100} } }

              Z =  -2.5

<em>Level of significance = 0.05</em>

<em>Z₀.₀₅ = 2.326</em>

<em>The calculated value  |Z| = |-2.5| >2.326 at 0.05 level of significance</em>

<u><em>Final answer</em></u><em>:-</em>

<em>The null hypothesis is rejected at a 0.05 level of significance</em>

<em>The alternative hypothesis is accepted at a 0.05 level of significance</em>

3 0
3 years ago
Plz help I’m dumd and I can’t answer it
kakasveta [241]

Answer:

11

Step-by-step explanation:

25% is 0.25 or 1/4

44 x 0.25 =11

6 0
3 years ago
Find the value of (-64)2/3
Marizza181 [45]

Answer:

-42.66666...

Step-by-step explanation:

-64 * 2/3 is -42.66666...

well, according to the calculator.

7 0
3 years ago
Read 2 more answers
What is the solution to the system of equations?
alukav5142 [94]

Answer:

  (x, y) = (-4, 15)

Step-by-step explanation:

The two equations have the same coefficient for y, so you can eliminate y by subtracting one equation from the other. Here the x coefficient is largest for the first equation, so it will work best to subtract the second equation.

  (3x +y) -(2x +y) = (3) -(7)

  x = -4 . . . . . . . . simplify

Now, we can find y by substituting this value for x.

  2(-4) +y = 7

  y = 7 +8 = 15 . . . . . add 8 to both sides of the equation

The solution is (x, y) = (-4, 15).

6 0
3 years ago
The difference of 2 and the<br> product of 3 and k
MA_775_DIABLO [31]

Answer:

3k-2

Step-by-step explanation:

Difference obiously means subtraction in this situation and you are subtraction 2 from the end result. " The product of 3 and k" is just refering to multiplying an unknown value by 3. This unknown value then becomes a variable and 3 becomes the coefficient. When these numbers are put together, they are suggesting multiplication. It can also be written to be less confusing. (3 x k)-2 which is the same thing as 3k-2.

8 0
3 years ago
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