Answer:
0.13093
Step-by-step explanation:
Give. That :
Population mean = 40% = 0.4
Sample size (n) = 64
Probability that more than 30 have computer at home
Mean = np = 64 * 0.4 = 25.6
Standard deviation = sqrt(n*p*(1-p)) = 3.919
P(x > 30)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (30 - 25.6) / 3.919 = 1.1227353
p(Z < 1.122) = 0.13093 ( Z probability calculator)
It would not pass under the bridge because ig you divide 162 by 12 it would equal 13.5
Answer:
x = 13
Step-by-step explanation:
Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:
Cross multiply:
8(x + 2) = 10 (x - 1)
8x + 16 = 10x - 10
Subtract 8x from both sides:
8x - 8x + 16 = 10x - 8x - 10
16 = 2x - 10
Add 10 to both sides:
16 + 10 = 2x - 10 + 10
26 = 2x
Divide both sides by 2:
13 = x
Verify whether x = 13 is the correct value:
This shows the proportional relationship between , and that ΔNML and ΔPST are indeed similar right triangles.
Therefore, the correct answer is x = 13.
Answer:
- 892 lb (right)
- 653 lb (left)
Step-by-step explanation:
The weight is in equilibrium, so the net force on it is zero. If R and L represent the tensions in the Right and Left cables, respectively ...
Rcos(45°) +Lcos(75°) = 800
Rsin(45°) -Lsin(75°) = 0
Solving these equations by Cramer's Rule, we get ...
R = 800sin(75°)/(cos(75°)sin(45°) +cos(45°)sin(75°))
= 800sin(75°)/sin(120°) ≈ 892 . . . pounds
L = 800sin(45°)/sin(120°) ≈ 653 . . . pounds
The tension in the right cable is about 892 pounds; about 653 pounds in the left cable.
_____
This suggests a really simple generic solution. For angle α on the right and β on the left and weight w, the tensions (right, left) are ...
(right, left) = w/sin(α+β)×(sin(β), sin(α))
Answer:
Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several
students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"
Explanation:
if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.
Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several
students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"
Explanation:
if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.
Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several
students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"
Explanation:
if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.
Step-by-step explanation:
