Multiply the bracket by -2
2x+3y^2 -2(x-y2)
2x+3y^2-2x+2y^2
2x-2x+3y^2+2y^2- rearranging
3y^2+2y^2
5y^2
Answer: 5y^2
The last choice because anything greater than a negative number eventually leads to the posetive numbers, plus substituting any posetive number aolves the inequality.
<h3>
Answer: 3 x 10^6</h3>
This is the number 3,000,000 aka 3 million
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To find this answer, we divide the two values (large/small)
(9 x 10^12)/(3 x 10^6)
(9/3) x 10^(12-6)
3 x 10^6
We divided the stuff out front like normal (9/3 turns into 3) and we subtract the exponents when dividing the 10^12 over 10^6. The general rule is that
(a^b)/(a^c) = a^(b-c)
The result 3 x 10^6 is in scientific notation. It represents the number 3,000,000 aka 3 million. While 9 x 10^12 represents 9,000,000,000,000 which is the number 9 trillion.
Answer:
Step-by-step explanation:
Hello!
X: Cholesterol level of a woman aged 30-39. (mg/dl)
This variable has an approximately normal distribution with mean μ= 190.14 mg/dl
1. You need to find the corresponding Z-value that corresponds to the top 9.3% of the distribution, i.e. is the value of the standard normal distribution that has above it 0.093 of the distribution and below it is 0.907, symbolically:
P(Z≥z₀)= 0.093
-*or*-
P(Z≤z₀)= 0.907
Since the Z-table shows accumulative probabilities P(Z<Z₁₋α) I'll work with the second expression:
P(Z≤z₀)= 0.907
Now all you have to do is look for the given probability in the body of the table and reach the margins to obtain the corresponding Z value. The first column gives you the integer and first decimal value and the first row gives you the second decimal value:
z₀= 1.323
2.
Using the Z value from 1., the mean Cholesterol level (μ= 190.14 mg/dl) and the Medical guideline that indicates that 9.3% of the women have levels above 240 mg/dl you can clear the standard deviation of the distribution from the Z-formula:
Z= (X- μ)/δ ~N(0;1)
Z= (X- μ)/δ
Z*δ= X- μ
δ=(X- μ)/Z
δ=(240-190.14)/1.323
δ= 37.687 ≅ 37.7 mg/dl
I hope it helps!
Y = -5/4x - 3
Step By Step Explanation
2 = -5/4(-4) + b
2 = 5 + b
-5 -5
-3 = b
