4x + 1 = 2x - 5 ; x =

HELP ANOTHER ONE, Need anwser before time runs out...

Ksju [112]

Answer: 0

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

3lnx + 4lny - ZInz Simplify.

IrinaVladis [17]

Answer:

$3lnx + 4lny - zlnz \\ = ln(3x - 4y - {z}^{2} )$

hope this helps....!

7 0

4 years ago

* The American Diabetes Association estimates that 8.3% of people in the

Leto [7]

Answer:

The probability that the diagnosis is correct is 0.95249.

Step-by-step explanation:

We are given that the American Diabetes Association estimates that 8.3% of people in the United States have diabetes.

Suppose that a medical lab has developed a simple diagnostic test for diabetes that is 98% accurate for people who have the disease and 95% accurate for people who do not have it.

Let the probability that people in the United States have diabetes = P(D) = 0.083.

So, the probability that people in the United States do not have diabetes = P(D') = 1 - P(D) = 1 - 0.083 = 0.917

Also, let A = event that the diagnostic test is accurate

So, the probability that a simple diagnostic test for diabetes is accurate for people who have the disease = P(A/D) = 0.98

And the probability that a simple diagnostic test for diabetes is accurate for people who do not have the disease = P(A/D') = 0.95

Now, the probability that the diagnosis is correct is given by;

Probability = P(D) $\times$ P(A/D) + P(D') $\times$ P(A/D')

= (0.083 $\times$ 0.98) + (0.917 $\times$ 0.95)

= 0.08134 + 0.87115

= 0.95249

Hence, the probability that the diagnosis is correct is 0.95249.

8 0

3 years ago

B=3(3,1) find the equation

Alla [95]

Answer:

Are you asking, given b = 3, write an equation that passes through the point (3,1)?

8 0

3 years ago

5) Two machines M1, M2 are used to manufacture resistors with a design

Basile [38]

Answer:

Since M1 has the higher probability of being in the desired range, we choose M1.

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.

Two machines M1, M2 are used to manufacture resistors with a design specification of 1000 ohm with 10% tolerance.

So we need the machines to be within 1000 - 0.1*1000 = 900 ohms and 1000 + 0.1*1000 = 1100 ohms.

For each machine, we need to find the probabilty of the machine being in this range. We choose the one with the higher probability.

M1:

Resistors of M1 are found to follow normal distribution with mean 1050 ohm and standard deviation of 100 ohm. This means that $\mu = 1050, \sigma = 100$