Step-by-step explanation:
x - y + 5z = 29
y + 2z = 4
z = 7
since z = 7 we can use this value in second equation
y + 2×7 = 4 and y = -10
now we know the value of y we can solve the first equation
x -(-10) + 5×7 = 29
x + 10 + 35 = 29
x = -11
Answer:
1.282, -0.5244,...
Step-by-step explanation:
We know that Z is a standard normal variate with mean =0, and std dev =1
a) z-score separates the highest 10% from the rest of the scores
= 90th percentile = 1.282
b) z-score separates the lowest 30% from the rest of the scores
= 30th percentile = -0.5244
c) z-score separates the lowest 40% from the rest of the scores
= 40th percentile = -0.2533
d) z-score separates the lowest 20% from the rest of the score
=20th percentile = -0.8416
The picture in the attached figure
step 1we know that
It is given that AD and BD are bisectors of ∠CAB and ∠CBA respectively.
Therefore,
x = ∠CAB/2 -----> equation 1
y = ∠CBA/2 -----> equation 2
step 2In triangle ABC,
∠CAB + ∠CBA + ∠ACB = 180° ----> [The sum of all three angles of a
triangle is 180°]
∠CAB + ∠CBA + 110° = 180°
∠CAB + ∠CBA = 180° - 110°
∠CAB + ∠CBA = 70° ------> divide by 2 both sides
∠CAB/2 + ∠CBA/2 = 70/2 -------> equation 3
substitute equation 1 and equation 2 in equation 3
x+y=35
hence
the answer isx+y =35°
⇒ x + y = 35° ...[From equation (1) and (2)]
If Michael is pitched 20 balls he will at least hit ten of them!
Answer: The graph is a solid line. The test point (0,0) does not satisfy the inequality.
Explanation:
The line is solid because it is less than or EQUAL TO. The test point does not satisfy because if you replace y and x with 0, it will not be true. 0 is not less than or equal to -3, therefore (0,0) does not satisfy the inequality.