Simplify the following problem using the distributive

Mathematics

1 answer:

telo118 [61]3 years ago

6 0

$2x + 3y + 2(x - y) -3x =\\\\=2x + 3y + 2 x - 2y -3x=\\\\=x+y$

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The floor plan of a ballroom is shown at right. The scale is 3 centimeters : 4 meters.

iragen [17]

Given:
scale: 3 cm : 4 m
Length 12 cm
Width 9 cm

We need to convert cm to m.
length: 12cm / 3cm * 4m = 4 * 4m = 16 meters
width: 9cm / 3cm * 4m = 3 * 4m = 12 meters

Area = length * width
Area = 16 m * 12 m
Area = 192m²

Area in cm: 12 cm * 9 cm
Area in cm: 108 cm²

cm : m ⇒ ratio format

ratio: a:b = c:d where ad = bc

108 : 192 = 12² : 16²
108 : 192 = 144 : 256

a = 108 ; b = 192 ; c = 144 ; d = 256

108 * 256 = 192 * 144
27,648 = 27,648

6 0

3 years ago

Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=10

Tanya [424]

Answer:

a) 0.7734

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 101, \sigma = 24$