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Anni [7]
2 years ago
11

A worker at a farm supply company in Franklin County is mixing up a 420-kilogram batch of its special grain blend for horses, wh

ich costs $5.80 per kilogram to make. If the mixture includes oats that cost $9.40 per kilogram and feed corn that costs $3.40 per kilogram, how many kilograms of each should the worker include in the mixture?
_?__ Kilograms of oats
_?__ Kilograms of feed corn
Mathematics
1 answer:
qaws [65]2 years ago
8 0

Answer:

168 kg oats and 252 kg corn

Step-by-step explanation:

2 equations and 2 unknowns

eq 1: x + y = 420

x is the amount of oats

y is amount of corn

eq 2: 9.4x + 3.4y = 5.8*420

solve equation 1 for x

x = 420 - y

substitute the value of x in eq 2

9.4(420-y) + 3.4y = 2436

y = 252

substitute y in eq 1

x + 252 = 420

x = 168

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The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standard deviation
Paraphin [41]

Answer:

0.13% of students have scored less than 45 points

Step-by-step explanation:

Problems of normally distributed samples 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 problem, we have that:

\mu = 60, \sigma = 5

About what percent of students have scored less than 45 points?

This is the pvalue of Z when X = 45. So

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

Z = \frac{45 - 60}{5}

Z = -3

Z = -3 has a pvalue of 0.0013

0.13% of students have scored less than 45 points

3 0
4 years ago
Which type of event is thought to have caused most species on earth to have become extinct?
Soloha48 [4]

Answer:

D because climate change can kill people

4 0
3 years ago
The front view of a recycle bin is shaped like a trapezoid. What is the measure of the remaining angle? 72° 144° 198° 252°
Likurg_2 [28]

Answer: 72°

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Help me plzzz thxxxxxx
motikmotik

Answer:

  • y = 1.8x +53.7
  • 73.5 in 2005

Step-by-step explanation:

The 2-point form of the equation of a line is useful here. It tells you that for the points (x1, y1) and (x2, y2) the line can be written as ...

  y = (y2 -y1)/(x2 -x1)(x -x1) + y1

For your given points, this is ...

  y = (60.9 -57.3)/(4 -2)(x -2) +57.3

  y = 1.8(x -2) +57.3

  y = 1.8x +53.7 . . . . . simplify

__

For x = 11 (in 2005), the predicted value is ...

  y = 1.8·11 +53.7

  y = 73.5

7 0
3 years ago
What place value do micrometers go too?
BigorU [14]

Answer:

  • <u><em>The place value of micrometers is the millionths.</em></u>

Explanation:

<em>Place value</em> is how much a digit is worth according to the position it has in the number.

In a one digit number, the only digit is in the place of the ones.  That means, that the digit is itself. For instance 8, values 8 × 1, because it is in the place of the ones.

In a two digit numbers, the number to the right is in the place of the ones, and the number to the left is in the place of the tens. Then, the number on the left values 10 times itself. For instance in the number 28, 8 values 8×1 and 2 values 2×10 = 20. That makes 20 + 8 = 28.

From rigth to left the place values are:

  • Ones
  • Tens
  • Hundreds
  • Thousands
  • Ten-thousands
  • Hundred-thousands
  • Millions

For the decimals, you count the place values from left to right. They are:

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  • Hundreths
  • Thousandths
  • Ten-thousanths
  • Hundred-thousanths
  • Millionths

Micrometers is a unit that is one-millionth of a meter:

  • 1 mcirometer = 10⁻⁶ meter
  • 1 micrometer = 0.000001 meter

Hence, the place value of micrometers is the millionths.

5 0
3 years ago
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