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2 years ago

80 percent of 90 is the same as 40 percent of what number?

Mathematics

2 answers:

Aleks [24]2 years ago

7 0

Find 10 percent of 90 then times that by 8 then add 90 and 80 and find 40% of that

Nadya [2.5K]2 years ago

5 0

80% of 90 may be found by multiply 90 by 0.8. Once you have that number, you can use it to set up a proportion with 2/5 (the simplified form of 40/100). Thus, you will write out 72/x = 2/5, since x is the number that you're solving for. Multiply numerators and denominators of opposite fractions to get the equation 72(5) = 2x. Finally, simplify 360 = 2x by dividing both sides by 2 to isolate the variable. You should have your answer by now.

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A process engineer is implementing a quality assurance system on a breakfast cereal production line. A new sensor is installed o

nataly862011 [7]

Answer:

0.2%

Step-by-step explanation:

The given parameters are;

The percentage of product within the correct range = 95%

The percentage of the times the sensor reject boxes of incorrect weight = 98%

The percentage of the times the company reject boxes with correct weight = 1%

$\begin{array}{cccc}&P&N&T\\P&TP&0.9&90\\N&FP&9.8&10\end{array}$

We have, FN = 0.9, TN = 9.8, TP = 90 - 0.9 = 89.1, FP = 10 - 9.8 = 0.2

FNR = FN/(FN + TP) = 0.9/(0.9 + 89.1) = 0.01

FPR = 0.2/(0.2 + 9.8) = 0.02

TPR = 89.1/(89.1 + 0.9) = 0.99

TNR = 9.8/(9.8 + 0.2) = 0.98

P(C/A) = TPR × P(C)/((TPR × P(C) + FPR×(1 - P(C)))

Where;

P(C/A) = The probability that a correct weight package is accepted

∴ P(C/A) = 0.99*0.9/(0.99*0.9 + 0.02*0.1) ≈ 0.99776

The probability that a correctly weighed package is rejected, P(C/R), is given as follows;

P(C/R) = 1 - P(C/A)

∴ P(C/R) ≈ 1 - 0.99776 = 0.00224 ≈ 0.2%

The probability that a correctly weighed package is rejected, P(C/R) ≈ 0.2%

5 0

2 years ago

A plate moves south at a rate of 2 cm/year. How many meters south from its original location will the plate be in 4,000 years?

Neporo4naja [7]

Answer:

I hope I can help

welcome po

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2 years ago

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user100 [1]

Answer:

Between the two persons presented above, Julie had ridden farther.

Step-by-step explanation:

This is because from the routes she had taken, she would be covering greater distance compared to Kyle. Julie still ad to ride from the complex to school.

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2 years ago

A code is formed using four of these letters: A, B, I, K, N, O, and T. (Note that the order of the letters in the code matters;

Margarita [4]

Take me the brayniest.i hope it was helpful

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2 years ago

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The image shows a ray of light bending at the boundary of a glass block. According to a law of optics, = n, where n is a constan

UkoKoshka [18]

The formula for the light bend would be n1*sin i= n2 * sin r

If you use "sin (90-x)= cos x" principle, you can change the sin in the equation into
n1*sin i= n2 * sin r
n1 * cos a= n2 * cos b
n2/n1= cos a/ cos b

Assuming the n constant is the ratio of the glass compared to water then the answer would be: cos a/ cos b

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2 years ago