A computer generates 90 integers from 1 to 5 at random. The results are recorded in the table.

Mathematics

1 answer:

Elena-2011 [213]3 years ago

7 0

Answer:

40%

Step-by-step explanation:

36/90 integers are 1, so the experimental probability is ...

p(1) = 36/90 = 0.40 = 40%

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(60 points)

natka813 [3]

Answer:

Step-by-step explanation:

$2.\\(a-b)^2=a^2-2ab+b^2\\\\x^2-16x=-8\\\\x^2-2(x)(8)=-8\\\\\text{We have}\ 2ab=2(x)(8).\ \text{Therefore}\ b=8.\\\\x^2-2(x)(8)=-8\qquad\text{add}\ 8^2=64\ \text{to both sides}\\\\x^2-2(x)(8)+8^2=-8+64\\\\(x-8)^2=56$

$5.\\2x^2+x-1=2\qquad\text{subtract 2 from both sides}\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\qquad\text{subtract 3 from both sides}\\2x=-3\qquad\text{divide both sides by 2}\\\boxed{x=-\dfrac{3}{2}}\\\\x-1=0\qquad\text{add 1 to both sides}\\\boxed{x=1}$

$6.\\2x^2-4x=0\qquad\text{divide both sides by 2}\\\\x^2-2x=0\\\\x(x-2)=0\iff x=0\ \vee\ x-2=0\\\\\boxed{x=0}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}$

8 0

3 years ago

The area of Gateway National Recreation is about twenty-six thousand, six hundred and sixty-three hundredths. Which shows this n

Delicious77 [7]

Answer:

B. 26,606.63

Step-by-step explanation:

The area of Gateway National Recreation Area is about twenty-six thousand, six hundred six and sixty-three hundredths. Which shows this number in standard form? A. 26,606.3 B. 26,606.63

C. 26,660.63 D. 26,666.3

Solution

Break down and writing in numerals of twenty-six thousand, six hundred six and sixty-three hundredths.

Twenty six thousand = 26,000

Six hundred six = 606

Sixty - three hundredth = 0.63

Adding

26,000 + 606 + 0.63

We have

26,606.63

The correct answer is B

5 0