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barxatty [35]
2 years ago
15

Convert the polar coordinates (120.2, 119°) into rectangular coordinates. Round the rectangular coordinates to the nearest hundr

edth.
Mathematics
1 answer:
Alchen [17]2 years ago
7 0
The conversion is
  x = magnitude × cos(angle)
  y = magnitude × sin(angle)
or
  (x, y) = 120.2(cos(119°), sin(119°)) ≈ (-58.27, 105.13)

_____
A suitable graphing calculator handles this easily.
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Two dance teams, the Roses and the Tulips, are perfectly matched so that their chances of winning are both set at 50%. What is t
shtirl [24]

Answer:

6%

Step-by-step explanation:

Step 1

The fist step is to define the probabilities.

The events are independent from each other. Each team wins with probability \frac{1}{2} and looses with probability \frac{1}{2}.  Let P(W_R) be probability that Roses win and P(L_R)  be the probability that Roses loose.

Step 2

The second step is to calculate the probabilities by multiplying the probabilities with the first 3 terms in the product being the probability of a win and the last term being the probability of a loss.

The calculation is shown below,

P(W_R)\times P(W_R)\times P(W_R)\times P(L_R)=\frac{1}{2} \times \frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}

Step 3

The last step is to convert this probability into a percentage. Converting this probability to a percentage is  done as shown below,

\frac{1}{16} \times 100\%=6.25\%.

Step 4

The next step is to round down the percentage . The value of 6.25% rounded down is 6%. The correct answer is 6%.


3 0
3 years ago
Ally is making a fruit punch using 48 ounces of grape juice and some seltzer water. She wants to make 10 equal servings that are
yaroslaw [1]
She should add 48 ounces of of seltzer water because it will allow at least 10 servings. 32 ounces would only be enough to make 8.88 servings
6 0
2 years ago
Read 2 more answers
Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon, would like to test t
Amanda [17]

Answer:

t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402    

df = n-1= 22-1=21

t_{\alpha/2}= -2.08

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old

Step-by-step explanation:

Data given

\bar X=33.9 represent the sample mean

s=4.1 represent the sample standard deviation

n=22 sample size  

\mu_o =26 represent the value that we want to test

\alpha=0.025 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)  

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is less than 36 years old, the system of hypothesis would be:  

Null hypothesis:\mu \geq 36  

Alternative hypothesis:\mu < 36  

The statistic is given by:

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

And replacing we got:

t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402    

Now we can calculate the critical value but first we need to find the degreed of freedom:

df = n-1= 22-1=21

So we need to find a critical value in the t distribution with df =21 who accumulates 0.025 of the area in the left and we got:

t_{\alpha/2}= -2.08

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old

3 0
3 years ago
I wasn't in school today can someone explain how to do this
Pachacha [2.7K]
You have to multiply 7 3/4 to 9.

First, turn 7 3/4 to an improper fraction which is 31/4.
Next, you multiply 31/4 to 9/1(same thing as 9) across from each other.
Then, you get the answer 279/4(31 x 9 = 279 ;4 x 1 = 4; 279/4).
Last divide 279 to 4 and get 67.75( .75 = 3/4 ; 69 3/4).
 
7 0
3 years ago
Your favorite activity outside of school is?
densk [106]

Answer:

Well, I play guitar as a hobby, and I play soccer for fun.

-BBBM

4 0
3 years ago
Read 2 more answers
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