Select the set of measurements that can form a triangle.

Find two geometric means between 7 and 189

Roman55 [17]

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

$r^3=\dfrac{189}{7}$

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 $\checkmark$

The completed Geometric Sequence is: 7, <u>21</u>, <u>63</u>, 189

8 0

2 years ago

What is the best order-of-magnitude estimate for 789,000?

Damm [24]

B. 10^6 = 1,000,000. Close

7 0

3 years ago

Given: Z = 0.43Y + 12 ; What is Y when Z = 28

jolli1 [7]

Z = 0.43Y + 12; Z = 28
28 = 0.43Y + 12; insert value of Z
16 = 0.43Y; subtract 12 from both sides
37.21 = Y; divide both sides by 0.43; rounded to nearest hundredth

5 0

3 years ago

I need help asap....................

docker41 [41]

Based on the given points, the point that is located on the y-axis is (0,7).

<h3>Which point is on the y axis?</h3>

The point that is on the y-axis should have a coordinate such that x is equal to 0.

This leads to the point being on the y-axis because the nonzero coordinate of the y axis would then have to be placed on the same axis.

The only point with a 0 coordinate is (0, 7) so this is the point that is located on the y-axis.

Find out more on points on the y-axis at brainly.com/question/4656315

#SPJ1

7 0

1 year ago

A researcher tests five individuals who have seen paid political ads about a particular issue. These individuals take a multiple

devlian [24]

Answer:

$t=\frac{46-40}{\frac{5.148}{\sqrt{5}}}=2.606$

The degrees of freedom are given by:

$df=n-1=5-1=4$

The p value wuld be given by:

$p_v =2*P(t_{(4)}>2.606)=0.060$

For this case the p value is higher than the significance level so then we can conclude that the true mean is not significantly different from 40

The distribution with the critical values are in the figure attached

Step-by-step explanation:

Information given

48, 41, 40, 51, and 50

The sample mean and deviation can be calculated with these formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=46$ represent the mean height for the sample

$s=5.148$ represent the sample standard deviation

$n=5$ sample size

$\mu_o =40$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test

Hypothesis to test

We want to test if the true mean for this case is equal to 40, the system of hypothesis would be:

Null hypothesis: $\mu = 40$

Alternative hypothesis: $\mu \neq 40$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing we got:

$t=\frac{46-40}{\frac{5.148}{\sqrt{5}}}=2.606$

The degrees of freedom are given by:

$df=n-1=5-1=4$

The p value wuld be given by:

$p_v =2*P(t_{(4)}>2.606)=0.060$

For this case the p value is higher than the significance level so then we can conclude that the true mean is not significantly different from 40

The distribution with the critical values are in the figure attached

6 0

3 years ago