I need help please help. 2 Questions.

Determine the intercepts of the line.

natulia [17]

Answer:

Find in Step by Step

Step-by-step explanation:

x-intercept = 26/-4 = 13/-2 = -6.50000

y-intercept = 26/1 = 26.00000

Slope = 8.000/2.000 = 4.000

Equation at the end of step 1 :

(y - 6) - 4 • (x + 5) = 0

Step 2 :

Equation at the end of step 2 :

y - 4x - 26 = 0

Step 3 :

Equation of a Straight Line

3.1 Solve y-4x-26 = 0

5 0

3 years ago

How do you write 426 in scientific notation?

sattari [20]

Answer: 4.26 x 10^2

Step-by-step explanation: you need to move the decimal over 2 spots because it needs to be a number from 1-9. So it would be 4.26. Then the exponent is positive 2 because you are moving the decimal to the left.

8 0

3 years ago

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The level of nitrogen oxides (NOX) in a exhaust of cars of a particular model varies normally with mean 0.25 grams per miles and

antoniya [11.8K]

Answer:

a) 15.87% probability that a single car of this model fails to meet the NOX requirement.

b) 2.28% probability that the average NOX level of these cars are above 0.3 g/mi limit

Step-by-step explanation:

We use the normal probability distribution and the central limit theorem to solve this question.

Normal probability distribution:

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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 0.25, \sigma = 0.05$

a. What is the probability that a single car of this model fails to meet the NOX requirement?

Emissions higher than 0.3, which is 1 subtracted by the pvalue of Z when X = 0.3. So

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

$Z = \frac{0.3 - 0.25}{0.05}$

$Z = 1$

$Z = 1$ has a pvalue of 0.8417.

1 - 0.8413 = 0.1587.

15.87% probability that a single car of this model fails to meet the NOX requirement.

b. A company has 4 cars of this model in its fleet. What is the probability that the average NOX level of these cars are above 0.3 g/mi limit?

Now we have $n = 4, s = \frac{0.05}{\sqrt{4}} = 0.025$

The probability is 1 subtracted by the pvalue of Z when X = 0.3. So

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

By the Central Limit Theorem

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

$Z = \frac{0.3 - 0.25}{0.025}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772

1 - 0.9772 = 0.0228

2.28% probability that the average NOX level of these cars are above 0.3 g/mi limit

4 0

3 years ago

A new type of pump can drain a certain pool in 4 hours. an older pump can drain the pool in 6 hours. how long will it take both

Studentka2010 [4]

Work in fractions of the pool the pumps can drain per hour:-

1/6 + 1/4 = 1/x where x is the time to drain the pool by the 2 pumps together

4x + 6x = 24
10x = 24
x = 2.4 hours <===== answer

8 0

3 years ago

Which statement is true? A dilation is not a function because a point on the pre-image could be mapped to more than one point on

lianna [129]

Here the answer is

D) A dilation is a function because every point on the pre-image corresponds to exactly one point on the image.

Definition of Dilation

Dilation stretches or shrinks the original figure. Each pre-image point has exactly one point on the image which multiplied or reduced the scale factor.

Thank you

6 0

3 years ago

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