Answer:
∠ 3 = 65°
Step-by-step explanation:
∠ 2 and 115° are a linear pair and sum to 180° , that is
∠ 2 + 115° = 180° ( subtract 115° from both sides )
∠ 2 = 65°
∠ 2 and ∠ 3 are corresponding angles and and are congruent , then
∠ 3 = 65°
Answer:
The solution to the system of equations is
(1, -4)
Step-by-step explanation:
hope this helps
Problem
The perimeter of a rectangle is less than 10 inches. The length is x and the width is x - 5. If the solution is x<5, ThEn the length is less than 5. Is this viable solution.
Solution
For this case the perimete rof a rectangle is given by:
P= 2x+2y
x= lenght y = width
And we also know that y= x-5
And replacing the condition given: P<10 we got:
2x +2y <10
2x +2(x-5)<10
4x -10 >10
And we can rewrite as:
4x >20
x>5
So then the best answer would be:
B. non viable
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:6^21
Step-by-step explanation: