Answer:
0.9544
Step-by-step explanation:
We are given that mean=18 and standard deviation=1 and we have to find P(16<X<20).
P(16<X<20)=P(z1<Z<z2)
z1=(x1-mean)/standard deviation
z1=(16-18)/1=-2
z2=(x2-mean)/standard deviation
z2=(20-18)/1=2
P(16<X<20)=P(z1<Z<z2)=P(-2<Z<2)
P(16<X<20)=P(-2<Z<0)+P(0<Z<2)
P(16<X<20)=0.4772+0.4772=0.9544
The probability that the height of a tree is between 16 and 20 feet is 95.44%
Answer:
x = 1/4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
4x - 5y = 21
<em>y</em> = -4
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in <em>y</em>: 4x - 5(-4) = 21
- Multiply: 4x + 20 = 21
- [Subtraction Property of Equality] Subtract 20 on both sides: 4x = 1
- [Division Property of Equality] Divide 4 on both sides: x = 1/4
Is there any multiple choice answers?
The answer would be -37.5
