Answer:
![\huge\boxed{\text{At least an } 87\%}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Ctext%7BAt%20least%20an%20%7D%2087%5C%25%7D)
Step-by-step explanation:
In order to find what score Alex must earn to have an average of 86 on all his tests, we need to first note what the formula to find the average of a data set is.
![\displaystyle \frac{x_1+x_2+...x_n}{n}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bx_1%2Bx_2%2B...x_n%7D%7Bn%7D)
What the formula means is that we have to add up all the values then divide by the total number of values.
Let's represent our unknown number as
.
(since we want AT LEAST an 86).
Let's solve this inequality for x.
So, Alex must score at least an 87% on his next quiz to have an average of 86%.
Hope this helped!
First definition matches with expression, second matches with equation ,third matches with algorithm and fourth matches with equation.
Given four definitions of equation, expression, algorithm but mixed.
We have to match the definitions with appropriate term.
We know that expression is a combination of numbers, symbols, fraction, coefficients, indeterminants mostly not found in equal to form. It exhibits a behaviour only.
Algorithm is a computer programming to do a specific task in a predetermined way.
Equation is a relationship between two variables expressed in equal to form. In this we have to put the value of variables and the equation gives us a value.
Hence First definition matches with expression, second matches with equation ,third matches with algorithm and fourth matches with equation.
Learn more about algorithm at brainly.com/question/13800096
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Answer:
About 5,000 kilograms
Step-by-step explanation:
Look on the x-axis for 18 years. Then go up to where the plotted line is on 18 years to find the y-axis or the mass.
Answer:
B) 0.1487
Step-by-step explanation:
Let
be the discrete random variable that represents the number of events observed over a given time period. If
follows a Poisson distribution, then the probability of observing
events over the time period is:
![P(X=k)=\frac{\lambda^{k} *e^{-\lambda} }{k!}](https://tex.z-dn.net/?f=P%28X%3Dk%29%3D%5Cfrac%7B%5Clambda%5E%7Bk%7D%20%2Ae%5E%7B-%5Clambda%7D%20%7D%7Bk%21%7D)
Where:
![\lambda=Mean\\k=number\hspace{3}of\hspace{3}events\\e=Euler's\hspace{3}number](https://tex.z-dn.net/?f=%5Clambda%3DMean%5C%5Ck%3Dnumber%5Chspace%7B3%7Dof%5Chspace%7B3%7Devents%5C%5Ce%3DEuler%27s%5Chspace%7B3%7Dnumber)
So, the probability that exactly 5 bankruptcies occur next month is:
![P(X=5)=\frac{6.4^{5} *e^{-6.4} }{5!} =\frac{17.84083537}{120} =0.1486736281\approx0.1487](https://tex.z-dn.net/?f=P%28X%3D5%29%3D%5Cfrac%7B6.4%5E%7B5%7D%20%2Ae%5E%7B-6.4%7D%20%7D%7B5%21%7D%20%3D%5Cfrac%7B17.84083537%7D%7B120%7D%20%3D0.1486736281%5Capprox0.1487)
Answer:
(x, y) ----> (-x, y).
Step-by-step explanation:
(x, y) ----> (-x, y).
The y value stays the same but the x-value changes sign.