Find square root of 0.0324

LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates (-100,0) and (

Gre4nikov [31]

Answer:

$\frac {(x)^{2}}{8100}+\frac {(y)^{2}}{1900}=1$

Step-by-step explanation:

center of the hyperbola is (0,0) = (h, k)

c = the distance form the center to either focal point = 100

$c^{2} =100^{2}=10000$

The differences from the receiver to the transmitters = 2a

2a = 180 miles

a = 180/2=90 miles

$a^2 =90^{2}= 8100$

$b^{2}= c^{2} - a^{2}$

$b^{2}= 100^{2}-90^{2}=1900$

$b^{2}=1900$

The standard form is

$\frac {(x-h)^{2}}{a^{2}}+\frac {(y-k)^{2}}{b^{2}}=1$

$\frac {(x-0)^{2}}{a^{2}}+\frac {(y-0)^{2}}{b^{2}}=1$

$\frac {(x)^{2}}{8100}+\frac {(y)^{2}}{1900}=1$

3 0

2 years ago

What is the answer for this question (What does the equation 100+0.05p=0.25p represent?)

spin [16.1K]

Answer:

100+0.30p

hope this helps

have a good day :)

Step-by-step explanation:

7 0

1 year ago

Determine whether the value given below is from a discrete or continuous data set. The volume of cola in a can is 11.1 oz. nothi

mars1129 [50]

Answer:

The given variable is a continuous variable.

Step-by-step explanation:

We are given the following variable in the question:

Variable: "The volume of cola in a can is 11.1 oz"

Discrete variable:

These can be expressed in whole numbers and cannot take value in decimals
They are counted not measured.
They cannot take any value within an interval.

Continuous Variable:

These can be expressed in decimal numbers.
They are measured not counted.
They can take any value within an interval.

Thus, the given variable which is volume is measured and can tale any value within an interval.

Thus, it is a continuous variable.

3 0

2 years ago

For any linear function f(x) = mx + b, when does kf(x) = f(kx)?

sammy [17]

A linear function. Sorry of it's not en

8 0

2 years ago

A statistics practitioner in a large university is investigating the factors that affect salary of professors. He wondered if ev

Ulleksa [173]

Answer:

Step-by-step explanation:

Hello!

Given the linear regression of Y: "Annual salary" as a function of X: "Mean score on teaching evaluation" of a population of university professors. It is desired to study whether student evaluations are related to salaries.

The population equation line is

E(Y)= β₀ + β₁X

Using the information of a n= 100 sample, the following data was calculated:

R²= 0.23

Coefficient Standard Error

Intercept 25675.5 11393

x 5321 2119

The estimated equation is

^Y= 25675.5 + 5321X

Now if the interest is to test if the teaching evaluation affects the proffesor's annual salary, the hypotheses are:

H₀: β = 0

H₁: β ≠ 0

There are two statistic you can use to make this test, a Student's t or an ANOVA F.

Since you have information about the estimation of β you can calculate the two tailed t test using the formula:

$t= \frac{b - \beta }{\frac{Sb}{\sqrt{n} } }$ ~ $t_{n-2}$

$t= \frac{ 5321 - 0 }{\frac{2119}{\sqrt{100} } }$ = 25.1109

The p-value is two-tailed, and is the probability of getting a value as extreme as the calculated $t_{H_0}$ under the distribution $t_{98}$

p-value < 0.00001

I hope it helps!

3 0

2 years ago