All categories

2 years ago

The terminal of theta is (sqrt2/2, sqrt2/2) what is tan theta?

Mathematics

1 answer:

Westkost [7]2 years ago

6 0

Answer:

Step-by-step explanation:

tan(theta) = y/x

tan(theta) = (sqrt(2)/2)/(sqrt(2)/2)=1

You might be interested in

Franklin deposits $3500 in an account that earns 3.5% interest compounded annually. What function equation represents the balanc

lara31 [8.8K]

So this problem can be solve using the formula:
F = P(1+i)^t
Where F is the balance account after t years
P is money deposited
i is the fraction interest rate
F = 3500 (1+0.35)^t
<span>F = 3500 (1.35)^t is the function equation represents the balance of the account after t years</span>

5 0

2 years ago

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took these 100 customer

AlladinOne [14]

Answer:

$4-2.326\frac{1}{\sqrt{100}}=3.767$

$4+2.326\frac{1}{\sqrt{100}}=4.233$

So on this case the 98% confidence interval would be given by (3.767;4.233)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=4$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=100 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.01,0,1)".And we see that $z_{\alpha/2}=2.326$

Now we have everything in order to replace into formula (1):

$4-2.326\frac{1}{\sqrt{100}}=3.767$

$4+2.326\frac{1}{\sqrt{100}}=4.233$

So on this case the 98% confidence interval would be given by (3.767;4.233)

4 0

2 years ago

What is 7,5444+789=?

lisov135 [29]

Answer:

76233

Step-by-step explanation:

Add the numbers together:

75444 + 789 = 76233

3 0

3 years ago

Read 2 more answers

What is the least common multiple of 8 and 11

tino4ka555 [31]

Answer:

Step-by-step explanation:

Find the prime factorization of both 8 and 11.

8 → 4 × 2 → 2 × 2 × 2

11 → 11

Then, multiply each factor the greater number of times it occurs. Since no factors are duplicated between 8 and 11 (as in, 2 is not a factor of 11, nor is 11 a factor of 8), LCM will equal 2 × 2 × 2 × 11.

2 × 2 × 2 × 11 = 88, so the LCM is 88.

It's a little hard to explain without visuals. A video could be useful, though I can't put links here.

7 0

2 years ago

100% of what number is 61

Dominik [7]

" 100% " means "the whole thing",
and "is" can be replaced by "is equal to".

You have said "The whole thing of a number is equal to 61."
or
"61 is equal to the whole thing of a number."

The only number that 61 can be equal to is 61.

3 0

3 years ago

Read 2 more answers