Use the change of base formula to approximate the solution to logo 515 = 1

sashaice [31]

8=2*2*2=2^3
32=2*2*2*2*2=2^5
<span>[8^(2/3)] / [32^(2/5)] = [</span>(2^3)^(2/3)] / [(2^5)^(2/5)] =
= [2^(3*2/3)] / [2^(5*2/5)]= [2^2] / [2^2] = 4/4 = 1
Answer: 1

4 0

3 years ago

Look at the 2 pictures to solve

bija089 [108]

Answer:

x = 15.3

x = 20.9

Step-by-step explanation:

sin(46) = 11/x

⇒ x = 11/sin(46) = 15.3

cos(55) = 12/x

⇒ x = 12/cos(55) = 20.9

3 0

2 years ago

Need some help with this question

Aliun [14]

3 1/3, 7-3 2/3=3 1/3, use absolute value

4 0

3 years ago

In 2008, the average household debt service ratio for homeowners was 13.2. The household debt service ratio is the ratio of debt

ankoles [38]

Answer:

$t=\frac{13.88-13.2}{\frac{3.14}{\sqrt{44}}}=1.436$

$df=n-1=44-1=43$

$p_v =P(t_{(43)}>1.436)=0.079$

We see that the p value i higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 13.2 *the value of 2008 ).

Step-by-step explanation:

Information given

$\bar X=13.88$ represent the sample mean

$s=3.14$ represent the sample standard deviation

$n=44$ sample size

$\mu_o =13.2$ represent the value that we want to test

$\alpha=0.05$ represent the significance level

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test

Hypothesis to test

We want to conduct a hypothesis in order to check if the true mean has increased from 2008 , and the system of hypothesi are:

Null hypothesis: $\mu \leq 13.2$

Alternative hypothesis: $\mu > 13.2$

The statistic for this case is:

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

Calculating the statistic

Replacing the info given we got:

$t=\frac{13.88-13.2}{\frac{3.14}{\sqrt{44}}}=1.436$

P-value

The degrees of freedom are:

$df=n-1=44-1=43$

Since is a right tailed test the p value is:

$p_v =P(t_{(43)}>1.436)=0.079$

Decision

We see that the p value i higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 13.2 *the value of 2008 ).

8 0

4 years ago

14n=11n+81 SHOW YOUR WORK

s344n2d4d5 [400]

Answer:

n = 27

Step-by-step explanation:

14n = 11n + 81 (Given)

14n - 11n = 11n - 11n + 81 (Subtraction Property of Equality)

3n = 81 (Simplify)

$\frac{3n}{3} = \frac{81}{3}$ (Division Property of Equality)

n = 27 (Simplify)

6 0

3 years ago

Use the change of base formula to approximate the solution to logo 515 = 1 - 2x. Round to the nearest