Answer: -270
Step-by-step explanation:
First, simplify the exponent

Then, distribute

Then, subtract(add a negative)

Hope it helps <3 :)
Answer:
a) 0.4770
b) 3.9945
c) z-statistics seem a large value
Step-by-step explanation:
<u>a. Find the standard deviation of the sample proportion based on the null hypothesis</u>
Based on the null hypothesis:
: 0.35
and the standard deviation σ =
=
≈0.4770
<u>b. Find the z statistic</u>
z-statistic is calculated as follows:
z=
where
- X is the proportion of employees in the survey who take advantage of the Credit Union (
)
is the proportion in null hypothesis (0.35)- s is the standard deviation (0.4770)
- N is the sample size (300)
putting the numbers in the formula:
z=
= 3.9945
<u>c. Does the z statistic seem like a particularly large or small value?</u>
z-statistics seem a large value, which will cause us to reject the null hypothesis.
Answer:
13.20 teaspoon of fertiliser needed for entire garden.
Step-by-step explanation:
Diameter of the garden = 14.50 ft
Radius of the garden = 7.25 ft
Area
[tex]A=\pi r^2[/text]
[tex]A=\pi \times 7.25 \times 7.25[/text]
[tex]\pi=3.14[/text]
[tex]A=\pi \times 7.25 \times 7.25[/text]
[tex]A=3.14 \times 7.25 \times 7.25[/text]
Hence
[tex]A=165.046[/text]
Area is 165.046 Sq Ft
For 25 sq ft of fields the fertiliser needed = 2 tea spoon
For 1 sq ft of fields the fertiliser needed =
[tex]\frac{2}{25}[/text] tea spoon
For 165.046 sq ft of fields the fertiliser needed =
[tex]\frac{2 \times 165.046 }{25}[/text] tea spoon
For 165.046 sq ft of fields the fertiliser needed = 13.20 tea spoon
if Camille spent 19.40$ LESS than DOUBLE what Olivia spent then a rough estimate already can be Olivia spent 100 and Camille spent 172 but to find this out we have to add 19.40 onto 272.35 = 291.75 then we now that 291.75 is thrice what Olivia spent so if we third it we know what Olivia spent so 291.75/3 = 97.25 leaving 194.50 then if we minus 19.40 off 194.50 we get 175.10 so:
Camille spent: 175.10 and
Olivia Spent: 97.25
Answer:

Step-by-step explanation:

It seems this system of equations would be solved easier using the elimination method (the x and y values are lined up).
Multiply everything in the first equation by -2 (we want the 4x to be able to cancel out with a -4x).

Now line up the equations (they are already lined up - convenient) and add them from top to bottom.

The -4x and 4x are opposites, so they cancel out.
Adding 6y and 2y gives you 8y, and adding -12 and 4 gives you -8.

Divide both sides by 8.

Since you have the y-value you can substitute this in to the second (or first equation, it doesn't necessarily matter) equation.

Simplify.

Add 2 to both sides.

Divide both sides by 4.

The final answer is
.
