Answer:
Step-by-step explanation:
Given that A shipment contains 6000 batteries, and 1% of them do not meet specifications.
Sample size =49
If x is the number of batteries not meeting specifications then
x is binomial with n =49 and p = 0.01
Because i) each toy is independent of the other
ii) There are only two outcomes
Probability whole shipment is accepted = Prob (X≤3)
=0.9885
Hence almost all shipments would be accepted.
Answer: The equation in slope-intercept form is y=2x-11
Step-by-step explanation: Slope-intercept is y=mx+b where m is the slope and b is the y-intercept. To find the slope, you find the difference between the y values divided by the difference between the x values. -5-(-9) = 4, and 3-1 is 2. 4/2 is 2, so m = 2. Since the slope is 2, it states for every x you move on the right you move 2 up. But we are trying to get the y-intercept, so x = 0. We are subtracting 1 in our x value, so we move 2 downwards. We subtract 2 from -9 which gives us -11, which is our y-intercept.
Hope this helps!
Answer:
m qsr = 62°
Step-by-step explanation:
From my understanding, the question states 3 angles of a triangle
All 3 angles of a triangle are equal to 180°.
<u>Step 1: Find x</u>
<em>70 + 2x + 3x - 10 = 180°</em>
<em>70 + 5x - 10 = 180</em>
<em>5x = 180 - 60</em>
<em>x = 120/5</em>
x = 24°
<u>Step 2: Find angle qsr</u>
<em>m qsr = 3x - 10</em>
<em>m qsr = 3(24) - 10</em>
m qsr = 62°
!!
Answer:
Step-by-step explanation:
Answer
2/3
Explanation
For f(x) = g(x) we should equate the two functions to get the value of x.
f(x) = g(x)
−3x + 4 = 2
-3x + 4 - 4 = 2 - 4
-3x = -2
Dividing by -3 on both sides;
(-3x)/-3 = (-2)/-3
x = 2/3
