<h2>
Therefore he took 40 gram of 
type solution and 10 gram of 
type solution.</h2>
Step-by-step explanation:
Given that , A pharmacist 13% alcohol solution another 18% alcohol solution .
Let he took x gram solution of type solution
and he took (50-x) gram of type solution.
Total amount of alcohol =![[x\times\frac{13}{100}] +[(50 -x) \times\frac{18}{100} ]](https://tex.z-dn.net/?f=%5Bx%5Ctimes%5Cfrac%7B13%7D%7B100%7D%5D%20%2B%5B%2850%20-x%29%20%5Ctimes%5Cfrac%7B18%7D%7B100%7D%20%5D)
gram
Total amount of solution = 50 gram
According to problem
⇔![\frac{ [x\times\frac{13}{100}] +[(50 -x) \times\frac{18}{100} ]}{50}= \frac{14}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B%20%5Bx%5Ctimes%5Cfrac%7B13%7D%7B100%7D%5D%20%2B%5B%2850%20-x%29%20%5Ctimes%5Cfrac%7B18%7D%7B100%7D%20%5D%7D%7B50%7D%3D%20%5Cfrac%7B14%7D%7B100%7D)
⇔
⇔- 5x= 700 - 900
⇔5x = 200
⇔x = 40 gram
Therefore he took 40 gram of type solution and (50 -40)gram = 10 gram of type solution.
Answer:
Is an estimate of the average grams of salt used in 2012
Step-by-step explanation:
Let
x ---> the number of years since 2012
f(x) ---> is the total amount of salt ingested in grams
we have
This is a linear equation in slope intercept form
where
The slope is equal to
The y-intercept or initial value is equal to
The y-intercept is the value of the function f(x) when the value of x is equal to zero
In this context, the y-intercept is the average amount of grams of salt ingested in the year 2012
The exact value of the average amount of grams of salt ingested in the year 2012 is 3,554 grams (see the data in the table)
Compare the exact value with the y-intercept
therefore
3,548 grams Is an estimate of the average grams of salt used in 2012
Answer:
Step-by-step explanation:
Hello!
The variable of interest is:
X: height of seaweed.
X~N(μ;σ²)
μ= 10 cm
σ= 2 cm
You have to find the value of the variable X that separates the bottom 0.30 of the distribution from the top 0.70
P(X≤x)= 0.30
P(X≥x)= 0.70
Using the standard normal distribution you have to find the value of Z that separates the bottom 0.30 from the top 0.70 and then using the formula Z= (X-μ)/σ translate the Z value to the corresponding X value.
P(Z≤z)= 0.30
In the body of the table look for the probability of 0.30 and reach the margins to form the Z value. The mean of the distribution is "0" so below 50% of the distribution you'll find negative values.
z= -0.52
Now you have to clear the value of X:
Z= (X-μ)/σ
Z*σ= X-μ
X= (Z*σ)+μ
X= (-0.52*2)+10= 8.96
The value of seaweed height that divides the bottom 30% from the top 70% is 8.96 cm
I hope this helps!
Answer:
New Digit = 315,864
Step-by-step explanation:
Given:
Digit - 135,864
Value of digit 3 = 30,000
Find:
New Digit, Value of 3 is 10 times greater
Computation:
Value of 3 is 10 times greater = (30,000) = 300,000
New Digit = 315,864
Answer: 50%
Step-by-step explanation:
In 2010, there were only 2 bike manufacturers and they had market shares of 30% and 70%.
A new manufacturer joins the market and captures 10% of the market share and Splendor increases to 40% of market share.
Market shares:
Yamaha = 10%
Splendor = 40%
Passion = 100% - 10% - 40%
= 50%
