= 0.1165 Step-by-step explanation: In statistics, the binomial distribution involves two possible outcomes. With ''n'' representing the number of trials in an experiment, these tables can be utilized to find the probability of achieving a specific number of successes within the experiment. P=14% = 0.14, n=30. Here, binomial distribution cumulative tables are applied. Thus, P(More than 7) = P(x > 7) = 1 - P(x < 7) = 1 - P(x ≤ 6) = 1 - 0.8835 = 0.1165.
Step-by-step explanation: The entertainment company’s net value after t months can be expressed by the equation; v(t) = 4t² - 24t - 28.
To factor this expression, we need to simplify the equation:
v(t) = 4t² - 24t - 28,
dividing everything by 4 yields:
v(t) = t² - 6t - 7,
v(t) = t² - 7t + t - 7,
v(t) = t(t-7) + 1(t-7),
v(t) = (t+1)(t-7).
Thus, the function in factored form is v(t) = (t+1)(t-7).
To find when the company hits its lowest value, substitute v(t) = 0 into the factored expression:
v(t) = (t+1)(t-7).
Setting equal to zero provides:
(t+1)(t-7) = 0, leading to t + 1 = 0 and t - 7 = 0; thus, t = -1 and t = 7.
Since time cannot be negative, therefore, t equals 7 months.
This indicates that after 7 months, the company will reach its minimal net value.
Answer:
60.36 steps West from center
85.36 steps North from center
Step-by-step explanation:
Refer to the attached
Musah's starting point and movement are depicted in the image.
- 1. He moves 50 steps towards the North,
- 2. Next, he moves 25 steps towards the West,
- 3. Then he proceeds 50 steps on a bearing of 315°. We now recognize that North is measured at 0°
or 360°, so a bearing of 315° corresponds to North-West 45°.
Note: According to the Pythagorean theorem, a right triangle at 45° with hypotenuse 'a' will have legs equal to a/√2.
What is the distance West of Musah's final position from the center?
25 + 50/√2 ≈ 60.36 steps
What is the distance North of Musah's final position from the center?
The telescope’s cost is $91
4.55 divided by 5% (0.05) equals 91.
-keeping a thorough record of the steps and outcomes of a scientific experiment; -conducting an experiment to examine the impacts of gravity on Earth; -solving an expression in stages by adhering to the order of operations.
