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2 years ago

11

A 12 ounce bottle of shampoo lasts Juan 16 weeks. Assuming he uses the same amount each week, write an equation relating the oun

ces used to the number of weeks.

1 answer:

trasher [3.6K]2 years ago

4 0

He uses one and one third ounces of shampoo per week.

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The sum of two numbers is 24. The difference is 15. What are the two numbers?

tatiyna

The numbers are "x" and "y",
we suggest this system of equations.
x+y=24
x-y=15
solve by reduction method.
x+y=24
x-y=15
-----------------
2x=39 ⇒x=39/2=19.5

x+y=24
-(x-y=15)
-------------------
2y=9 ⇒y=9/2=4.5

The numbers are 19.5 and 4.5

To check
19.5+4.5=24
19.5-4.5=15

3 0

3 years ago

Help i tried to do it but not sure..

nlexa [21]

Answer:

3000

Step-by-step explanation:

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2 years ago

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The proportion of items in a population that possess a specific attribute is known to be 0.45. a. If a simple random sample of s

yanalaym [24]

Answer: 0.05

Step-by-step explanation:

Sampling error is the error occurs by considering sample for study instead of entire population.

Given : The proportion of items in a population that possess a specific attribute is known to be 0.45.

Sample size : n= 100

Sample proportion of items in a population that possess a specific attribute : $\hat{p}=0.48$

Now, the formula to find the sampling error :

$\text{Sampling error} =\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$\text{Sampling error} =\sqrt{\dfrac{0.48(1-0.48)}{100}}$

$=\sqrt{\dfrac{0.48(0.52)}{100}}\\\\=\sqrt{0.002496}\approx0.05$

Hence, the sampling error =0.05

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2 years ago

Which is equivalent to -√10 3/4^x?

Galina-37 [17]

3√10^4x is equivalent to -√10 3/4^x and -4√10^3x they are all equivalent

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3 years ago

Read 2 more answers

Domain and Range for the function f(x)=5IXI is

shutvik [7]

Answer:

The domain of the function f(x) is:

$\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

The range of the function f(x) is:

$\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

Step-by-step explanation:

Given the function

$f\left(x\right)=5\left|x\right|$

Determining the domain:

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

Domain refers to all the possible sets of input values on the x-axis.

It is clear that the function has undefined points nor domain constraints.

Thus, the domain of the function f(x) is:

$\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

Range refers to all the possible sets of output values on the y-axis.

We know that the range of an Absolute function is of the form

$c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k$

$k=0$

so

Thus, the range of the function f(x) is:

$\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

7 0

3 years ago