Answer: 21, 63
<u>Step-by-step explanation:</u>
We need to find two geometric means between 7 and 189.
The Geometric Sequence is: 7, ____, ____, 189
Let's find r (common ratio):
We can see that the common ratio will be multiplied by itsely 3 times in order to get from 7 to 189:
7 r³ = 189

r³ = 27
∛r³ = ∛27
r = 3
Now that we know the common ratio is 3, we can multiply 7 and 3 to get the next term (21), and multiply that by 3 to get the third term (63), and multiply that by 3 as a check to confirm we get 189.
7 x 3 = 21
21 x 3 = 63
63 x 3 = 189
The completed Geometric Sequence is: 7, <u>21</u>, <u>63</u>, 189
Answer:
8. A
First step is to distribute - to 6x and 3. Next u want to combine like terms. So 2x^2-6x^2 = -4x^2. Next 4x - 6x = -2x. Again 9 + 3 = 12. Combine and u get -4x ^2 - 2x +12
9. C
First you add 4x to both sides. Then you subtract 55 leaving -45 greater than or equal to 9x. Then you divide by nine and you get -5 is greater than or equal to x
10. B
First you distribute 5 so 15 -3x < -2x +6. Next add 2 to both sides. Then subtract 15 leaving -3x < -9. Least divide by -3 and you get x > 3(the sign was swapped bc dividing by a negative number means it has to)
11. B
For this you could just distribute the equations and we on that 7•4=28. And 7•5=35. I'm this case both of the numbers have to be negative so 7 has to be negative as well
12. C
Distribute -2/3 and you get 9q^2-2q+14/3+5q^2
Then combine like terms and 9q^2+5q^2=14q^2. Order them and ur answer is 14q^2-2q+14/3
The slope-intercept form is
y
=
m
x
+
b
y
=
m
x
+
b
, where
m
m
is the slope and
b
b
is the y-intercept.
Answer:
The sampling distribution of
is:
.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:

The study was conducted using the data from 15,000 students.
Since the sample size is so large, i.e. <em>n</em> = 15000 > 30, the central limit theorem is applicable to approximate the sampling distribution of sample proportions.
So, the sampling distribution of
is:
.


- <u>While </u><u>shopping </u><u>for </u><u>clothes </u><u>Tracey </u><u>spent </u><u>3</u><u>8</u><u>$</u><u> </u><u>less </u><u>than </u><u>3</u><u> </u><u>times </u><u>of </u><u>what </u><u>Daniel </u><u>spent </u>

- <u>We </u><u>have </u><u>to </u><u>determine </u><u>the </u><u>total </u><u>cost </u><u>spent </u><u>by </u><u>daniel</u>

Cost spent by Tracey for her clothes = 38$
Let assume the spending by Daniel is x




