x = 16 x sin(60) = 8sqrt(3)
answer is B.
Answer:
1. z = -1.91429
The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference
2. 2.7792%
Step-by-step explanation:
1. Relative to the WHO data, what is this girls z-score?
z score formula is:
z = (x-μ)/σ, where
x is the raw score = 44.5 cm
μ is the population mean = 47.18cm
σ is the population standard deviation = 1.40cm
z = 44.5 - 47.18/1.40
z = -1.91429
What does the z score tell us?
The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference
2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?
z score = -1.91429
Probability value from Z-Table:
P(z =-1.91429) = P(x<44.5) = 0.027792
Converting to percentage = 0.027792 × 100
= 2.7792%
Answer:
Last 2 terminate
Step-by-step explanation:
9/7 does not terminate: 1.285724285724285724...
5/3 does not terminate: 1.66666666666666666...
3/2 does terminate: 1.5
6/4 same thing as 3/2 = 1.5
C and D terminate.
Let us say that:
x = cost of shorts
y = cost of slacks
z = cost of sports coat
From the given statements, we can create the following
equations:
eqtn 1: 3 x + y =
10.96
eqtn 2: 7 x + 2 y +
z = 30.40
eqtn 3: 4 x + z =
14.45
Rewrite eqtn 1 explicit to y:
y = 10.96 – 3 x -->
eqtn 4
Rewrite eqtn 3 explicit to z:
z = 14.45 – 4x -->
eqtn 5
Plug in the values of y (eqtn 4) and z (eqtn 5) to eqtn
2:
7 x + 2 (10.96 – 3 x) + 14.45 – 4 x = 30.40
7 x + 21.92 – 6 x + 14.45 – 4 x = 30.40
- 3 x + 36.37 = 30.40
- 3 x = - 5.97
x = 1.99
Eqtn 4:
y = 10.96 – 3 x
y = 10.96 – 3 (1.99)
y = 4.99
Eqtn 5:
z = 14.45 – 4x
z = 14.45 – 4 (1.99)
z = 6.49
Therefore each shirt cost $1.99, each slacks cost $4.99,
and each sports coat cost $6.49.
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Answer: x=3
Step-by-step explanation: Subtract 2 from both sides and subtract 5x from both sides. Then you'll end up with 6 = 2x. Then divide through by 2 on both sides and you're left with x=3.
