Answer: P(100 ≤ x ≤ 130) = 0.43
Step-by-step explanation:
Since the scores are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = scores
µ = mean score
σ = standard deviation
From the information given,
µ = 100
σ = 20
We want to find the probability that the scores is between 100 and 130. It is expressed as
P(100 ≤ x ≤ 130)
For x = 100,
z = (100 - 100)/20 = 0
Looking at the normal distribution table, the probability corresponding to the z score is 0.5
For x = 100,
z = (130 - 100)/20 = 1.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.93
Therefore,
P(100 ≤ x ≤ 130) = 0.93 - 0.5 = 0.43
Answer:
The time period of a simple pendulum if it takes 72 seconds to complete 24 oscillation will be 3 seconds.
Step-by-step explanation:
Total number of oscillations = 24
Time taken to complete 24 oscillations = 2 seconds
So, the frequency 'f' of the simple pendulum will be:
Let 'T' be the time period.
Therefore, the time period of a simple pendulum if it takes 72 seconds to complete 24 oscillation will be 3 seconds.
Answer:
$7.5
Step-by-step explanation:
$0.75 for each smoothie
Answer:
The image is blurry.
Step-by-step explanation:
10) Answer: y = -3x - 7
<u>Step-by-step explanation:</u>
You need to use the Point-Slope formula: y - y₁ = m(x - x₁) ; where (x₁, y₁) is the point and "m" is the slope.
You are given the point (-1, -4). Now you need to find the slope.
You are given the 9x + 3y = 8. Rewrite this in slope-intercept form by solving for y so it is in the form y = mx + b.
9x + 3y = 8
<u>-9x </u> <u> -9x </u>
3y = -9x + 8
<u> ÷3 </u> <u>÷3 </u>
y = -3x + 8/3
↓
m = -3
Parallel lines have the same slope so m = -3
Next, plug in the point (-1, -4) and the slope (-3) into the Point-Slope formula:
y - y₁ = m(x - x₁)
y - (-4) = -3(x - (-1))
y + 4 = -3(x + 1)
y + 4 = -3x - 3
<u> -4 </u> <u> -4 </u>
y = -3x - 7
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12) Answer:
<u>Step-by-step explanation:</u>
follow the same steps as #10
Point (3, 1) m = ??
2x + 5y = 7
<u>-2x </u> <u> -2x </u>
5y = -2x + 7
<u> ÷5 </u> <u>÷5 </u>
y =
↓
m =
Parallel lines have the same slope so m =
Next, plug in the point (3, 1) and the slope into the Point-Slope formula:
y - y₁ = m(x - x₁)
y - 1 = (x - 3)
y - 1 = +
<u> +1 </u> <u> +</u><u> </u>
y =