Which sentence best shows the significance of Rider giving Margie the stone?

Nikki and Jonathan both solve this system of equations: y=−2.7x+3.2 y = - 2 . 7 x + 3 . 2 y=1.3x+1.6 y = 1 . 3 x + 1 . 6 Jonatha

N76 [4]

We have two equations that were solved by Nikki and Jonathon:

y=−2.7x+3.2
y=1.3x+1.6

Equating the above two:

⇒ 1.3x + 1.6 = -2.7x + 3.2

⇒ 4x = 1.6

⇒ x = 0.4

Hence, substituting the value of x in one of the equations we get:

y = 1.3×0.4 + 1.6 = 2.12

So the solution is (0.4, 2.12)

Jonathon's solution was (0.4, 2.12) and Nikki's was (2.25, 0.5). Hence Jonathon gave the correct solution.

7 0

2 years ago

Read 2 more answers

Abit is planning a birthday party for his granddad. He bought a cake for $18\$18$18dollar sign, 18. He also wants to buy some ba

Arturiano [62]

Answer:

$1.00

Step-by-step explanation:

Total Budget = $35

Cake Spent = $18

Remaining Money = 35 - 18 = $17

Since, each balloon is worth $4, to find how many balloons he will get with remaining money ($17), we divide the the remaining money by price of each balloon:

17/4 = 4.25

We can't have fractional balloons, so Abit can get 4 balloons, MAXIMUM.

4 balloons cost = $4 per balloon * 4 = $16

So, from $17 if he spends $16 for balloons, he will have left:

$17 - $16 = $1.00

3 0

2 years ago

The functions $f$ and $g$ are defined as follows: \[f(x) = \sqrt{\dfrac{x+1}{x-1}}\quad\text{and}\quad g(x) = \dfrac{\sqrt{x+1}}

CaHeK987 [17]

Answer:

The answer is "domain and range are different".

Step-by-step explanation:

Given:

$f(x) = \sqrt{\frac{x+1}{x-1}}\\\\g(x) =\frac{\sqrt{x+1}}{\sqrt{x-1}}\\$

Solve f(x) to find domain and range:

for element x: R:

⇒ $x \leq -1 \ \ \ and \ \ \ x > 1$ range:

$for \ \ f(x) \times element : 0 \leq f(x)< 1 \ \ \ or \ \ f(x)>1$

$g(x) =\frac{\sqrt{x+1}}{\sqrt{x-1}}\\$

Solve for domain:

⇒ $\ when \ x \ element \ R: \ \ \ x>1$

Solve for range:

⇒ $g(x) \times element$ R : $g(x)>1$

So, the value of the method f(x) and g(x) (range and domain) were different.

5 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

The equation y = 0.002x - 0.30 can be used to determine the approximate cost, y in dollars, of producing x items. How many items

ArbitrLikvidat [17]

Answer:

193650

Step-by-step explanation:

Since the cost must be no more than 387$, you can substitute that number instead of y to get 387 = 0.002x - 0.30. you can add 0.30 to both sides to get 387.3 = 0.002x

Then you can divide both sides by 0.002 to get 387.3/0.002 = 193650

5 0

2 years ago