Size of the room as depicted on the picture = 5 cm × 7 cm
Actual length of shorter side = 6 m
⇒ The size being shown at 5 cm is actually 6 m (or 600 cm)
⇒ In the picture, 1 cm represents
cm or 120 cm
Hence, the scale of the picture is 1 cm = 120 cm
⇒ Length of the longer side = 120 × 7 cm = 840 cm = 8.4 m
Using the normal distribution, it is found that 63.18% of the area under the curve of the standard normal distribution is between z = − 0.9 z = - 0.9.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The area within 0.9 standard deviations of the mean is the <u>p-value of Z = 0.9(0.8159) subtracted by the p-value of Z = -0.9(0.1841)</u>, hence:
0.8159 - 0.1841 = 0.6318 = 63.18%.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
slope = 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (4, 2)
m =
= 
Answer:
slope = 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 10 ← is in slope- intercept form
with slope m = 1