In the equations of Law of Cosines do I multiply the two by both a AND b or just A?

Without using a calculator, choose the statement that best describes the value of the square root of 86

zubka84 [21]

The value of square root 86 is between 9 and 9.5

5 0

3 years ago

Use prime factorization to find the least common multiple of 54 and 36

irinina [24]

Answer: 108

Explanation:

GCF(36,54) = 18
LCM(36,54) = ( 36 × 54) / 18
LCM(36,54) = 1944 / 18
LCM(36,54) = 108

6 0

3 years ago

A personal trainer determines that an individual will get the most benefit from a workout if they keep their heart rate at an av

Korvikt [17]

Using the confidence interval, it is found that the correct conclusion regarding the hypotheses test is given by:

Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.

<h3>What are the hypotheses tested?</h3>

At the null hypotheses, it is tested if the mean is of 150, that is:

$H_0: \mu = 150$

At the alternative hypotheses, it is tested if the mean is different of 150, hence:

$H_0: \mu \neq 150$ .

The confidence interval is (158, 167). Since it does not contain 150, we reject the null hypotheses, hence the correct option is:

Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.

More can be learned about confidence intervals at brainly.com/question/25890103

#SPJ1

6 0

2 years ago

Find m<1 32 359 32° 35° Ob Od 90° 58°

Harrizon [31]

Answer:

d- m<1 = 58

Step-by-step explanation:

To find this answer we have to do multiple steps.

So we know that vertical angles are congruent by the definition of vertical angles, look at the picture

So, we also know that a triangle =180 degrees

therefore we can add 32 and 90 to find the 3rd angle measure

32+90=122, then 180(because that's the total of the triangle)-122=58

So, m<1=58 degrees

7 0

3 years ago

A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is current

vladimir2022 [97]

Answer:

$z=\frac{7.1-7.4}{\frac{1.2}{\sqrt{36}}}=-1.5$

Since is a left sided test the p value would be:

$p_v =P(z$

Comparing the p value and the significance level given $\alpha=0.1$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and the true mean is significantly lower than 7.4 minutes at 10% of significance

Step-by-step explanation:

Data given and notation

$\bar X=7.1$ represent the sample mean

$\sigma=1.2$ represent the population standard deviation

$n=36$ sample size

$\mu_o =7.4$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean i lower than 7.4, the system of hypothesis would be:

Null hypothesis: $\mu \geq 7.4$

Alternative hypothesis: $\mu < 7.4$

The statistic is given by

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{7.1-7.4}{\frac{1.2}{\sqrt{36}}}=-1.5$

P-value

Since is a left sided test the p value would be:

$p_v =P(z$

Conclusion

Comparing the p value and the significance level given $\alpha=0.1$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and the true mean is significantly lower than 7.4 minutes at 10% of significance

6 0

3 years ago