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1 year ago

Hello I really need help with this

Mathematics

2 answers:

Harman [31]1 year ago

5 0

Answer:

Step-by-step explanation:

The sides are in proportion.

$\frac{AC}{DF} = \frac{AB}{DE}$
35/? = 20/4
35/? = 5
? = 35/5
? = <u>7</u>

Talja [164]1 year ago

5 0

Answer:

Step-by-step explanation:

Given,

△ABC ~ △DEF

( ~ means similar )

To find : missing side length

Similar triangle rule : -

If two triangles are similar, their corresponding sides are similar.

So,

AB ~ DE

BC ~ EF

AC ~ DF

Let the missing side length ( DF ) be " x ".

Note : -

When the corresponding sides are divided, their ratios will be same.

That is,

AB / DE

= 20 / 4

= 5 / 1

= 5 : 1

BC / EF

= 40 / 8

= 5 / 1

= 5 : 1

AC / DF should also be equal to 5 : 1.

AC / DF = 5 : 1

35 / x = 5 / 1

Cross multiply,

x * 5 = 35 * 1

5x = 35

Divide 5 on both sides,

x = 35 / 5

x = 7

Therefore,

the missing side length is 7.

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3 years ago

A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1200 hours and a standar

a_sh-v [17]

Answer:

The bulbs should be replaced each 1060.5 days.

Step-by-step explanation:

Problems of normally distributed samples are 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 problem, we have that:

$\mu = 1200, \sigma = 60$