Como converter 13 graus em radianos?

Calculate the distance between the points L = (1, -1) and J=(4,-9) in the coordinate plane.

Blizzard [7]

Answer:

8.54

Step-by-step explanation:

distance formula is d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

plug in the coordinates the answer is 8.54

7 0

3 years ago

It is claimed that automobiles are driven on average more than 20,000 kilometers per year. To test this claim, 100 randomly sele

kow [346]

Answer:

$t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974$

$p_v =P(t_{99}>8.974)=9.43x10^{-15}$

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.

Step-by-step explanation:

1) Data given and notation

$\bar X=23500$ represent the sample mean

$s=3900$ represent the sample standard deviation

$n=100$ sample size

$\mu_o =2000$ 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 conduct a hypothesis in order to determine if the true mean is higher than 20000, the system of hypothesis would be:

Null hypothesis: $\mu \leq 2000$

Alternative hypothesis: $\mu > 2000$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic 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:

$t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974$

Calculate the P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=100-1=99$

Since is a one-side upper test the p value would be:

$p_v =P(t_{99}>8.974)=9.43x10^{-15}$

Conclusion

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.

8 0

3 years ago

Please help !!!!! Explain to me and need answer quick

schepotkina [342]

Answer:

We can see that the denominators of both the numbers is not same

So in order to make it same for the both numbers, we will multiply the second number by 2/2 ,(which is basically 1 so it won't affect our calculations)

$\frac{11}{2^2 * 5^2}$ - $\frac{2}{2^2 * 5^2}$

So we will just subtract the numbers now

$\frac{9}{2^2 * 5^2}$ <em>This is the answer </em>

<em>Kindly mark Brainly, Thanks</em>

4 0

3 years ago

Marvin sells prawns at $12 per kg. How much money will Marvin receive from selling 30 kg of prawns?

igomit [66]

Answer: Start off and multiply 12x30=360

Step-by-step explanation: He will recieve 360$

3 0

2 years ago

the radious of each wheel of a car is 16 inches at how many revolutions per minute should a spin balancer be set to balance the

Alex Ar [27]

Answer:

revolutions per minute for 16 inches is 946 / minute

revolutions per minute for 14 inches is 1081 / minute

Step-by-step explanation:

Given data

radius = 16 inch

speed = 90 mph = 90/60 = 1.5 miles/minute = 1.5 × 5280 feet /12 inches = 95040 inches /minute

radius 2 = 14 inches

to find out

revolutions per minute

solution

first we calculate the circumference of the wheel i.e. 2× $\pi$ ×radius

circumference = 2× $\pi$ ×16

circumference = 32 $\pi$

we know that revolution is speed / circumference

revolution = 95040/32 $\pi$

revolution = 945.38 / minute

we have given radius 14 inches than revolution will be i.e.

revolution = speed / circumference

circumference = 2× $\pi$ ×14

circumference = 28 $\pi$

revolution = 95040/ 28 $\pi$

revolution = 1080.43 / minute

7 0

3 years ago