All categories

3 years ago

If x and y vary inversely, and x = 8 when y = 1/4, what is y when x = -4?

1 answer:

3 0

$y \propto \dfrac 1x\\\\\implies y = \dfrac kx \\\\\implies \dfrac 14 = \dfrac k{8}\\\\\implies k=2\\\\\text{When}~ x =-4\\\\y = \dfrac{k}{x} = \dfrac{2}{-4}= -\dfrac 12$

You might be interested in

The mean monthly rent of students at Oxnard University is $780 with a standard deviation of $208.

Nonamiya [84]

Answer:

a) 2.188

b) John's rent is not an outlier

c) His rent has to be higher than $1,235 to be an outlier

Step-by-step explanation:

The mean monthly rent of students at Oxnard University is $780 with a standard deviation of $208.

(a) John’s rent is $1,235. What is his standardized z-score?

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = $1235

μ is the population mean = $780

σ is the population standard deviation = $208

Hence,

z = 1235 - 780/208

z = 2.1875

Approximately to 3 decimal place = 2.188

(b) Is John’s rent an outlier?

No it isn't

John’s rent would have to be higher than $1235

8 0

3 years ago

Pls help due in 10 minutes!!!!!!!!!!!!!!1

AlladinOne [14]

Answer:

Step-by-step explanation:

Given expression:

$27 \cdot \left(\left(3^3\right)^{-1}\right)$

Following the <u>order of operations</u>, carry out the operations inside the parentheses first:

$\implies 27 \cdot \left(\left(3 \cdot 3\cdot 3\right)^{-1}\right)$

$\implies 27 \cdot \left(27^{-1}\right)$

$\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:$

$\implies 27 \cdot \left(\dfrac{1}{27^1}\right)$

$\implies 27 \cdot \left(\dfrac{1}{27}\right)$

Convert 27 to a fraction:

$\implies \dfrac{27}{1} \cdot \dfrac{1}{27}$

Cross cancel the common factor:

$\implies \dfrac{\diagup\!\!\!\!\!27}{1} \cdot \dfrac{1}{\diagup\!\!\!\!\!27}$

$\implies \dfrac{1}{1}$

$\implies 1$

5 0

2 years ago

You start at (0, -2). You move down 3 units and left 4 units. Where do you end?

tresset_1 [31]

Answer:

-4,-5?

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Am I correct?<br> I’m not sure

elixir [45]

Answer:

Yes

Step-by-step explanation:

Your are correct

7 0

3 years ago

A rocket travels according to the equation h = - 4.9(t - 6)^2 + 182, How high was the rocket above the ground when it was fired?

TEA [102]

I found the answers to your question.

6 0

3 years ago