Part A
4 < 5 < 9 is given to us. Apply the square root to each term to end up with this inequality: sqrt(4) < sqrt(5) < sqrt(9)
So sqrt(5) is between <u>sqrt(4)</u> and <u>sqrt(9)</u>
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Part B
Simplify those two mentioned square roots
sqrt(4) = sqrt(2^2) = 2
sqrt(9) = sqrt(3^2) = 3
Therefore, sqrt(5) is also between <u>2</u> and <u>3</u>
We can see this through using a calculator: sqrt(5) = 2.23607 approximately
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Part C
We can now say:
2 < sqrt(5) < 3
Multiply all three sides by 6
6*2 < 6*sqrt(5) < 6*3
So the expression 6*sqrt(5) is between <u>6 x 2</u> and <u>6 x 3</u>
Sure enough, a calculator confirms this
6*sqrt(5) = 13.416408
since 6*2 = 12 and 6*3 = 18. We see that 13.416 is between 12 and 18.
Answer:
the probability that exactly 1 received a special accommodation is 0.3079
Step-by-step explanation:
Step 1: define the variable
x= the number of students who received a special accommodation.
Step 2: define the distribution of this variable
x ~ binomial distribution ( p=0.02, n=25)
this is because x is the number of succes in 25 trials.
Step 3: using the binomial distribution formula
P(x=1)= (25C1)*(0.05^1)*(1-0.05)^(25-1)=0.3079
where (25C1) is a combination
Answer:
the answer is A
Step-by-step explanation:
Answer:
the answer is -19.4
Step-by-step explanation:
So -10 to the 2nd power would be -100. Then 3 + -100 = -97. -97 divided by 5 is -19.4.
I think this is correct but please inform me if it is not and I will try to fix it. Have a great day!
Answer:
500 square units
Step-by-step explanation:
I am pretty sure I am correct