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KATRIN_1 [288]
3 years ago
6

Rewrite as a logarithmic equation. e^(7)=y

Mathematics
1 answer:
jolli1 [7]3 years ago
5 0
E^7 = y --->(Add ln on both sides) lne^7 = ln y ---> (Bring down the power) (7)×lne = ln y ---> ( lne = 1 ) 7 = ln y
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Normal Distribution. Cherry trees in a certain orchard have heights that are normally distributed with mu = 112 inches and sigma
Lubov Fominskaja [6]

Answer:

The probability that a randomly chosen tree is greater than 140 inches is 0.0228.

Step-by-step explanation:

Given : Cherry trees in a certain orchard have heights that are normally distributed with \mu = 112 inches and \sigma = 14 inches.

To find : What is the probability that a randomly chosen tree is greater than 140 inches?

Solution :

Mean - \mu = 112 inches

Standard deviation - \sigma = 14 inches

The z-score formula is given by, Z=\frac{x-\mu}{\sigma}

Now,

P(X>140)=P(\frac{x-\mu}{\sigma}>\frac{140-\mu}{\sigma})

P(X>140)=P(Z>\frac{140-112}{14})

P(X>140)=P(Z>\frac{28}{14})

P(X>140)=P(Z>2)

P(X>140)=1-P(Z

The Z-score value we get is from the Z-table,

P(X>140)=1-0.9772

P(X>140)=0.0228

Therefore, the probability that a randomly chosen tree is greater than 140 inches is 0.0228.

5 0
3 years ago
Two trains, Train A and Train B, weigh a total of 312 tons. Train A is heavier than Train B. The difference of their weights is
Korvikt [17]
312-170=142
142÷2=71
170+71=241
241+71=312
train A weighs 241 tons
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Answer:it is b

Step-by-step explanation:

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