What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =

For each of the following angles, assume that the terminal ray of the angle opens up in the counter-clockwise direction. A circl

lyudmila [28]

9514 1404 393

Answer:

1.4

Step-by-step explanation:

We want to find the multiplier n such that ...

arc length = n × radius

n = arc length / radius = (9.8 cm)/(7 cm)

n = 1.4

The subtended arc is 1.4 times as long as the circle's radius.

3 0

3 years ago

Minor surgery on horses under field conditions requires a reliable short-term anesthetic producing good muscle relaxation, minim

andreev551 [17]

Answer:

$p_v =P(t_{74}$

If we compare the p value and a significance level for example $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.

Step-by-step explanation:

Data given and notation

$\bar X=18.81$ represent the average lateral recumbency for the sample

$s=8.4$ represent the sample standard deviation

$n=75$ sample size

$\mu_o =20$ represent the value that we want to test

$\alpha$ 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 (variable of interest)

State the null and alternative hypotheses.

We need to apply a left tailed test.

What are H0 and Ha for this study?

Null hypothesis: $\mu \geq 20$

Alternative hypothesis : $\mu < 20$

Compute the test statistic

The statistic for this case is given by:

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

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

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

$t=\frac{18.81-20}{\frac{8.4}{\sqrt{75}}}=-1.227$

The degrees of freedom are given by:

$df=n-1=75-1=74$

Give the appropriate conclusion for the test

Since is a one side left tailed test the p value would be:

$p_v =P(t_{74}$

Conclusion

If we compare the p value and a significance level for example $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.

3 0

3 years ago

Mike earns $70 per day. He received a 25% increase in pay. How much money is Mike now making per day?

mote1985 [20]

I think it’s $175
70 times 25/100=175

5 0

3 years ago

50 points! please help!.

Sunny_sXe [5.5K]

Answer:

Solution given:

Sin $\theta_{1}=\frac{-24}{25}$

$\frac{opposite}{hypotenuse}=\frac{-24}{25}$

equating corresponding value

opposite=-24

hypoyenuse=25

adjacent=x

By using Pythagoras law

hypotenuse²=opposite²+adjacent²

25²=(-24)²+x²

625=576+x²

x²=625-576

x=49

x= $\sqrt{49}=7$

In IV quadrant

Cos angle is positive

Cos $\theta_{1}=\frac{adjacent}{hypotenuse}$

<h3>Cos $\theta_{1}=\frac{7}{25}$ </h3>

8 0

3 years ago

Read 2 more answers

Explain why points and lines may be coplaner even when the plane containing them is not drawn. Give Examples.

skad [1K]

Answer:

The reason why points and lines my be co-planer even when the plane containing them is not drawn is because the by their definition two lines or a line and a point or three points which are fixed in space always have have a direction of view from which they appear as a single line, or for the three points, appear to be on a single line.

This can be demonstrated by the shape of a cross which is always planner

Examples include

1) Straight lines drawn across both side of the pages of an open book to meet at the center pf the book can always be made planner by the orientation#

2) This can be also demonstrated by the plane of the two lines in the shape of a cross which is always planner regardless of the orientation of the cross

3) The dimension that can be defined by three points alone is that of a planner (2-dimensional) triangle shape

Step-by-step explanation:

8 0

3 years ago

What is the value of x? Enter your answer in the box. x =