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3 years ago

A company mixes pecans, cashews, peanuts, and walnuts to make a batch of mixed nuts.

Mathematics

1 answer:

dimulka [17.4K]3 years ago

8 0

Step-by-step explanation:

15.4% of the nuts are pecans.

0.154x = 77

x = 500

There are 500 pounds of mixed nuts in the batch.

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Answer:

The mean and standard deviation of the corrected pH measurements are 6.63 and 3.8025 respectively.

Step-by-step explanation:

We can correct the values of the mean and standard deviation using the properties of the mean and the variance.

To the original value X we have to add 0.2 and multiply then by 1.3 to calculate the new and corrected value Y:

$Y=1.3(X+0.2)$

The mean and standard deviation of the original value X are 4.9 and 1.5 respectively.

Then, we can apply the properties of the mean as:

$E(Y)=E(1.3(X+0.2))=1.3E(X+0.2)=1.3E(X)+1.3*0.2\\\\E(Y)=1.3E(X)+0.26\\\\E(Y)=1.3*4.9+0.26=6.37+0.26=6.63$

For the standard deviation, we apply the properties of variance:

$V(Y)=V(1.3(X+0.2))\\\\V(Y)=1.3^2\cdot V(X+0.2)\\\\V(Y)=1.69\cdot V(X)\\\\V(Y)=1.69\cdot 1.5^2=1.69\cdot 2.25=3.8025$

The properties that have been applied are:

$1.\,E(aX)=aE(X)\\\\ 2.\,E(X+b)=E(X)+b\\\\3.\,V(aX)=a^2V(X)\\\\4.\,V(X+b)=V(X)+0$

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Triangles L M N and L K N are connected at side L N. A line is drawn from point M to point K and intersects side L N at point P.

lesya692 [45]

The true statement is Line MK is the perpendicular bisector of LN and ML is ≅ MN.

<h3>What is perpendicular?</h3>

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given:

Δ LMN and Δ LKN are connected at side LN.

As per the information,

Line MK is the perpendicular bisector of LN. and ML ≅ MN.

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brainly.com/question/25397944

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