Answer: the probability it will come up heads 25 or fewer times is 0.019
Step-by-step explanation:
Given that;
n = 50
p = 0.65
so, q = 1 - p = 0.35
np = 50 × 0.65 = 32.5 ≥ 10
nq = 50 × 0.35 = 17.5 ≥ 10
so, we need to use Normal Approximation for the Binomial Distribution
μ = np = 50 × 0.65 = 32.5
σ = √(npq) = √( 50 × 0.65 × 0.35 ) = 3.3726
now, the probability that it will come up heads 25 or few times will be;
⇒ P( x≤25)
{using continuity correction}
⇒ P[ z < (25.5 - 32.5)/3.3726 ]
⇒ P[ z < -2.0755 ]
using z-table
= 0.01923 ≈ 0.019 { 3 decimal places}
Therefore the probability it will come up heads 25 or fewer times is 0.019
Answer: 7t-28
Step-by-step explanation: Distribute the 7
Answer:
D
Explanation:
The number multiplied by the variable is always the increasing factor.
Answer:
160
Step-by-step explanation:
72/45 = 1.6
1.6 * 45 = 72
Background information
160/100 = 1.6 (100 for percents)
160 fits the answer so it is right
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
63.5F
Step-by-step explanation:
Let x represent the temperature at the start of the experiment. Then the temperature at first check is (x -10.4F). The temperature at the second check is 1/3 that value, and is said to be 17.7F. This lets us write the equation ...
1/3(x -10.4F) = 17.7F
Multiplying by 3 gives ...
x -10.4F = 53.1F
x = 63.5F . . . . . . add 10.4F
The initial temperature of the liquid was 63.5F.
_____
<em>Additional comment</em>
Temperature is measured on an "interval scale." On such a scale, the value 0 is located arbitrarily. Concepts such as "1/3 of the temperature" have no meaning on such a scale. Here, we have to ignore that fact and assume the problem is about the numbers, not about any real temperature relationship in thermodynamic terms.
