<em><u>Correct steps are shown</u></em>
<em><u>Correct simplified expression is:</u></em>
<em><u>Solution:</u></em>
<em><u>Given that: Mara simplifies the expression</u></em>
<em><u>Correct steps are:</u></em>
From given,
<em><u>Use the distributive property,</u></em>
a(b + c) = ab + bc
Therefore,
Group the like terms
Thus the expression is simplified
Answer:
x = -11/4
Step-by-step explanation:
4x - 2 = -13
(add 2 on both sides)
4x - 2 + 2 = -13 + 2
4x = -11
(Divide 4 on both sides)
4/4x = -11/4
x = -11/4
A1.) <span>the interval about the mean within which 90% of the data lie = 120 + or - 1.645(10) = 120 + or - 16.45 = 120 - 16.45 to 120 + 16.45 = 103.55 to 136.45
2.) P(100 < X < 140) = P(X < 140) - P(X < 100) = P(z < (140 - 120)/10) - P(z < (100 - 120)/10) = P(z < 2) - P(z < -2) = P(z < 2) - [1 - P(z < 2)] = 2P(z < 2) - 1 = 2(0.97725) - 1 = 1.9545 - 1 = 0.9545 = 95.5%
B1.) </span><span>the interval about the sample mean that has a 1% level of confidence is 500 + or - 2.575(80/√1000) = 500 + or - 7 = 500 - 7 to 500 + 7 = 493 to 507
2.) 2P(z < a) - 1 = 0.90
2P(z < a) = 1.90
P(z < a) = 0.95
a = 1.645
(b - 500)/(80/√1000) = 1.645
b - 500 = 4
b = 500 + 4 = 504
The </span><span>interval about the sample mean such that the probability is 0.90 that the mean number lies within the interval is 496 - 504.</span><span />
Answer:
The moon's gravitational pull on the Earth is the main cause of the rise and fall of ocean tides.
Step-by-step explanation:
The moon's gravitational pull causes two bulges of water on the Earth's oceans—one where ocean waters face the moon and the pull is strongest and one where ocean waters face away from the moon and the pull is weakest.
Hope it helped!!
For the left-hand triangle we know:
.
Solving for
we have:
So the angles on the left are: 47,31 and 102 degrees.
On the right we have
Substituting known values and solving we get:
[tex]y=72\°[/tex}
So the angles on the right are, 72, 61 and 47 degrees.
