1. Given that ADEF AABC, determine the length of side DF. A 15

Find the sum of the geometric series given a1=2, r=−3, and n=8.

inn [45]

Answer:

Sum of the G.P is -3280

Step-by-step explanation:

Summation:

${ \bf{sum = \frac{a( {r}^{n }-1 )}{r - 1} }} \\ \\ { \tt{sum = \frac{2( { { - 3}^{8 } -1)} }{ - 3 - 1} }} \\ { \tt{ = \frac{13120}{-4} }} \\ = -3280$

3 0

2 years ago

Read 2 more answers

Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come f

AlladinOne [14]

Answer:

$z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43$

Now we can calculate the p value with the following probability:

$p_v =P(z>2.43)=0.0075 \approx 0.008$

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

Step-by-step explanation:

Data given and notation

n=75 represent the random sample taken

$\hat p=0.64$ estimated proportion of interest

$p_o=0.5$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic

$p_v$ represent the p value

System of hypothesis

We want to verify if the true proportion is higher than 0.5:

Null hypothesis: $p =0.5$

Alternative hypothesis: $p > 0.5$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we got:

$z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43$

Now we can calculate the p value with the following probability:

$p_v =P(z>2.43)=0.0075 \approx 0.008$

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

7 0

3 years ago

After how many seconds is the height 68 feet? When the equation is h=-16t2+64t+8

Rudiy27

68=-16t2+64t+8
16t2-64t+60=0

4t2-16t+15=0
(2t-5)(2t-3)=0
t=5/2 or 3/2
The object is at 68 feet after 3/2 secs, and returns to 68 feet after another second..

5 0

2 years ago

Please help with this will give brainliest to the first answer!

kozerog [31]

Answer:

your answer is 415 in^3

Step-by-step explanation:

ok the equation in finding the volume of a come is

V= $\pi r^2 \frac{h}{3}$

step 1: plugin

$\pi =3.14$

3.14 x 6^2 x 11/3

3.14x 36 x 11/3 = (6/3 turns into a 2)

113.04x 11/3= 114. 48, when rounded, it's going to give you 415 in^3

5 0

1 year ago

Identify the effect on the graph of replacing f(x) by f(x - h)

Tresset [83]

Given:

Replace f(x) by f(x - h).

To find:

The effect on the graph of replacing f(x) by f(x - h).

Solution:

Horizontal shift is defined as:

If the graph f(x) shifts h units left, then f(x+h).

If the graph f(x) shifts h units right, then f(x-h).

Where, h is a constant that represents the horizontal shift.

In the given problem f(x) is replaced by f(x - h) and we need to find the effect on the graph.

Here, we have x-h in place of x.

Therefore, the graph of f(x) shifts h units right to get the graph of f(x-h).

4 0

2 years ago