9514 1404 393
Answer:
1/4
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
3z² = 3(√3/6)² = 3(3/6²) = 9/36 = 1/4
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The whole point of √3 is that the square of it is 3. The square of a fraction is the fraction multiplied by itself. The usual rules of multiplying fractions apply.
Answer: a. 0.14085
b. 3.826 x
c. 0.5437
d. 0.0811
Step-by-step explanation:
Given average amount parents and children spent per child on back-to-school clothes in Autumn 2010 , = $527
Given standard deviation , = $160
Let X = amount spent on a randomly selected child
Also Z =
a. Probability(X>$700) = P( > ) = P(Z>1.08125) = 0.14085 {Using Z % table}
b. P(X<100) = P( Z < ) = P(Z< -2.66875) = P(Z > 2.66875) = 3.826 x
c. P(450<X<700) = P(X<700) - P(X<=450)
P(X<700) = 1 - P(X>=700) = 1 - 0.14085 = 0.8592
P(X<=450) = P(Z<= ) = P(Z<= -0.48125) = P(Z<=0.48125) = 0.3155
So final P(450<X<700) = 0.8592 - 0.3155 = 0.5437
d. P(X<=300) = P(Z<= ) = P(Z<= -1.4188) = P(Z>=1.4188) = 0.0811
All the above probabilities are calculated using Z % table along with interpolation between two values.
Answer:
Step-by-step explanation:
1) add all angles to 180
2) exterior angle = P + Q
i can add remaining ones also
Answer:
$3,245
Step-by-step explanation:
For a money saved at Simple Interest,
Amount =Simple Interest+Principal
Principal, P=$2750
Rate, r=3%
Time, T=6 Years
=$495
Therefore, Amount in Erin's Account after 6 years =2750+495
=$3,245
Answer:
Step-by-step explanation:
By AA Similarity, triangles ASR and EST are similar.
The ratio of the lengths of the sides of triangle ASR to those of EST is 6/8 or 3/4.
Also,
By a rule of proportions, you get