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3 years ago

6

What is the factored form of c^2=5c

1 answer:

mestny [16]3 years ago

4 0

$c^2=5x\\
c^2-5c=0\\
c(c-5)=0
$

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The distribution of resistance for resistors of a certain type is known to be normal, with 10% of all resistors having a resista

baherus [9]

Answer:

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

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.

10% of all resistors having a resistance exceeding 10.634 ohms

This means that when X = 10.634, Z has a pvalue of 1-0.1 = 0.9. So when X = 10.634, Z = 1.28.

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

$1.28 = \frac{10.634 - \mu}{\sigma}$

$10.634 - \mu = 1.28\sigma$

$\mu = 10.634 - 1.28\sigma$

5% having a resistance smaller than 9.7565 ohms.

This means that when X = 9.7565, Z has a pvalue of 0.05. So when X = 9.7565, Z = -1.96.

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

$-1.96 = \frac{9.7565 - \mu}{\sigma}$

$9.7565 - \mu = -1.96\sigma$

$\mu = 9.7565 + 1.96\sigma$

We also have that:

$\mu = 10.634 - 1.28\sigma$

So

$10.634 - 1.28\sigma = 9.7565 + 1.96\sigma$

$1.96\sigma + 1.28\sigma = 10.645 - 9.7565$

$3.24\sigma = 0.8885$

$\sigma = \frac{0.8885}{3.24}$

$\sigma = 0.2742$

The mean is

$\mu = 10.634 - 1.28\sigma = 10 - 1.28*0.2742 = 9.65$

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

8 0

3 years ago

WARNJNG ⚠️⚠️ just help me please

marta [7]

(4)3 is also the same thing as 4x3 which is 12n

5 0

2 years ago

Write a pair of fractions as a pair of fractions with a common denominator using the fractions 1/2 and 1/3.

Vinvika [58]

Answer:

3/6, 2/6.

Step-by-step explanation:

The lowest common denominator of 2 and 3 is 6.

1/2 = 3/6 and 1/3 = 2/6

So this pair of fractions is 3/6, 2/6.

4 0

3 years ago

Write the quadratic function in vertex form. y = x2 - 16x + 57

MrMuchimi

I hope this helps you

3 0

3 years ago

(Need 3 answers) An entomologist discovered a new insect species. The population of the insect species can be modeled by P(n) =

Strike441 [17]

Answer:

See below

Step-by-step explanation:

<u>According to the model, the equation is:</u>

P(n) = 3450*bⁿ

Based on the equation, the initial number of insects is 3450

<u>If b = 1.75, daily growth rate is:</u>

1.75 - 1 = 0.75 = 75%

<u>If we get P(4) = 55200, find the value of b:</u>

55200 = 3450*b⁴
b⁴ = 55200/3450
b⁴ = 16
b⁴ = 2⁴
b = 2

3 0

2 years ago