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3 years ago

Natalie made a nut mixture that contains

Mathematics

1 answer:

Harman [31]3 years ago

4 0

Answer:

50%

Step-by-step explanation:

10 kg of mixed nuts that contain 60% peanuts

60(10)

plus

15 kg of a different brand of mixed nuts. with x% peanuts

x(15)

That makes 25 kg with 54% peanuts

54(25)

--------------------------

Equation

60(10) + x(15) = 54(25)

600 + 15x = 1350

Subtract 600 from both sides

15x = 750

Diviede both sides by 15

x = 50

50%

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dolphi86 [110]

First we have to find how much water leaked
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3 years ago

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Semmy [17]

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Answer:

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Step-by-step explanation:

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3 years ago

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If 2^x=1/32, find the value of x

Dovator [93]

Answer:

In this equation x is equal to -5.

Step-by-step explanation:

In order to find this, we first have to note for the base (2) to be larger than the answer (1/32), the exponent would have to be negative. We also can note that 2^5 is equal to 32, which allows us to know that the negated version would give us 1/32.

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3 years ago

Given the figure below, find the values of x and z.

bulgar [2K]

Answer:

x = 12

z = 101

Step-by-step explanation:

Hello There!

First lets find z

Well the angle that has a measure of 79 degrees and angle z are supplementary angles meaning that the sum of the two is 180

So we can find the missing angle by subtract the given angle (79 in this case) from 180

180 - 79 = 101 so z = 101

Now lets find x

The angle that has a measure of 79 degrees and the angle labeled (6x+7) are vertical angles

If you didn't know vertical angles are congruent

That being said lets create an equation to solve for x

79 = 6x + 7

now we solve for x

step 1 subtract 7 from each side by

7 - 7 cancels out

79 - 7 = 72

now we have 72 = 6x

step 2 divide each side by 6

72/6=12

6x/6=x

we're left with x = 12

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2 years ago

A factory produces plate glass with a mean thickness of 4 mm and a standard deviation of 1.1 mm. A simple random sample of 100 s

rosijanka [135]

Answer:

$P(\bar X$

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent the thickness of a population, and for this case we know the distribution for X is given by:

$X \sim N(4,1.1)$