Answer:
4, 11, 4/11
Step-by-step explanation:
there are 5 white marbles, 4 yellow marbles, and 2 green marbles.
there are 11 marbles in total, and 4 yellow marbles
the probability of her selecting a yellow marble is 4/11
The exponential function that models this situation is:
------------------------------------------
A decaying exponential function has the following format:
In which:
- y(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem:
- The stock started at $225, thus
. - Declines at a rate of 25% every 2 weeks, thus
The equation is:
A similar problem is given at brainly.com/question/24282972
The Option A best explains the dual experiments: "In the experimental group, a chosen variable is altered in a known way. In the control group, that chosen variable is not altered so a comparison can be made."
<h3>What is experimental design?</h3>
- The process of deciding which variables to use in an experiment to test a particular hypothesis is called experimental design.
- To properly collect data and evaluate the hypothesis, the experimental design method is used.
Now,
- A specified variable is changed in the experimental group in a well-known fashion.
- That selected variable is left unaltered in the control group so that comparisons can be conducted.
- Control variables are variables that are utilized in an experiment to serve as a baseline against which the data from the experimental variables are gathered and evaluated (which is why the other answers are incorrect).
- In the experimental group, it is advisable to modify just one variable at a time so that any differences from the control group may be quickly linked to the one variable that was altered.
Hence, amongst all the given options, The Option A best explains the dual experiments: "In the experimental group, a chosen variable is altered in a known way. In the control group, that chosen variable is not altered so a comparison can be made."
To learn more about experimental design, refer to the link:brainly.com/question/17274244
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Step-by-step explanation:
Step one:
given data
we are told that she wants her balance to be at least $100
y=100-------1
the expression relating her current balance and spending rate is
let y be the total and m be the number of months
y=330-11m----------2
Required
the number of months m
equating 1 and 2 we have
100=330-11m
11m=330-100
11m=230
m=230/11
m=20.9
m=21 approx
This means that she will keep her account open for 1 year 9 months
Answer:
Zeros of the given function are x=5 and x=-1.
Step-by-step explanation:
f(x)=x^2-4x-5
f(x)=x^2+1x-5x-5
f(x)=x(x+1)-5(x+1)
f(x)=(x-5)(x+1)
To find zeros, we need to set f(x)=0
0=(x-5)(x+1)
0=(x-5) or 0=(x+1)
0=x-5 or 0=x+1
5=x or -1=x
Hence zeros of the given function are x=5 and x=-1.
We can plug some random numbers like x=0,1,2,... into given function to find few points then graph those points and join them by a curved line.
That will give the final graph as attached below:
for x=0,
f(x)=x^2-4x-5
f(0)=0^2-4(0)-5
f(0)=0-0-5
f(0)=-5
Hence first point is (0,-5)
Similarly we can find more points.
