All categories

4 years ago

Find the value of y when x = -10/3, If

Mathematics

2 answers:

olga nikolaevna [1]4 years ago

8 0

Plug it in
y = 2/3(24 - -10/3) + 5(-10/3)y
y = 2/3 (82/3) + 5(-10/3)y
y = 164/9 - 50/3y
because there are “y” values on both sides, they cancel out, leaving a number to equal another number. this does not make any sense. therefore, there is no solution to this equation when x = -10/3.

Serggg [28]4 years ago

7 0

Answer:

I think y= 12/53

Step-by-step explanation:

You might be interested in

If Tan A=5/12 then find cot A, cos A and Sin A

Ostrovityanka [42]

Cot A=1/tan A=12/5

cos A= 12/13

sin A=5/13

Draw a right angled triangle

the hypotenuse is the longest side which is 13 using Pythagoras theorem

the side opposite the angle A is 5

the side closest to the angle A which is called the adjacent is 12

sinA =opp/hyp

cos A= adj/hyp

cotA =1/tanA=cos A/sinA

Note: Pythagoras theorem is

hyp²=opp²+adj²

7 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%7Bx%20%7D%5E%7B2%7D%20%3D%20%20%7B16%7D%5E%7Bx%3F%7D%20%20%20" id="TexFormula1" title=" {x

lora16 [44]

X is -1/2 . Using the Lambert W function.
x^2=16^x => x^2=(2^4)^x
x^2=2^4x => x=2^2x
x=(e^in(2))^2x => x=e^2in(2)x
e^2in(2)x1/x=1
xe^-2in(2)x=1 /*1
-xe^-2in(2)x=-1
-2in(2)xe^-2in(2)x=-2in(2)
W(-2in(2)xe^-2in2x)=W(-2in(2))
-2in(2)x=W(-2in(2))
X=-W(-2in(2))/2in(2)

5 0

3 years ago

Which function is equivalent to f(x) = e^2x ?

zepelin [54]

Answer:

Im pretty sure this is the answer F (x) = e^2x + 1

Step-by-step explanation:

8 0

4 years ago

Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she

Anarel [89]

Answer:

$P(3.25 < \bar X < 4.25)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\sigma_{\bar X}}$

And using the z score we have:

$P(\frac{3.5-4}{0.3}< Z< \frac{4.25-4}{0.3}) = P(-1.667< Z< 0.833)$

And we can use the normal standard distribution table or excel in order to find the probabilities and we got:

$P(-1.667< Z< 0.833)= P(Z$

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the time it takes her to complete one review, and for this case we know the distribution for X is given by:

$X \sim N(4,1.2)$

Where $\mu=4$ and $\sigma=1.2$

And we select a sample size of n =16. Since the dsitribution for X is normal then the distribution for the sample mean $\bar X$ is also normal and given by: