Ask question

Ask question

All categories

-Dominant- [34]

4 years ago

11

Help Please solve this picture

1 answer:

Drupady [299]4 years ago

8 0

6y = (x - 4)² + 34/3

6x = (y - 4)² + 34/3

(y - 4)² = 6x - 34/3

y - 4 = √(6x - 34/3)

y = 4 +- √(6x - 34/3)

You might be interested in

A simple random sample of 110 analog circuits is obtained at random from an ongoing production process in which 20% of all circu

telo118 [61]

Answer:

64.56% probability that between 17 and 25 circuits in the sample are defective.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 110, p = 0.2$

So

$\mu = E(X) = np = 110*0.2 = 22$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{110*0.2*0.8} = 4.1952$

Probability that between 17 and 25 circuits in the sample are defective.

This is the pvalue of Z when X = 25 subtrated by the pvalue of Z when X = 17. So

X = 25

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

$Z = \frac{25 - 22}{4.1952}$

$Z = 0.715$

$Z = 0.715$ has a pvalue of 0.7626.

X = 17

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

$Z = \frac{17 - 22}{4.1952}$

$Z = -1.19$

$Z = -1.19$ has a pvalue of 0.1170.

0.7626 - 0.1170 = 0.6456

64.56% probability that between 17 and 25 circuits in the sample are defective.

4 0

4 years ago

If you are buying at item at a store for a price of $52, and there is a 6% tax added on top, what would be the total amount due

serious [3.7K]

With tax it would be $55.12

7 0

4 years ago

Ray earns $15 an hour for up to 40 hours a week. If he works more than 40 hours a week, he is paid time and a half. That means R

nekit [7.7K]

Answer:

$7.50

Step-by-step explanation:

His normal pay is $15/h

Find the OT pay:

OT pay is 150% of his normal pay. Convert 150% to a decimal by dividing by 100 to find the rate in decimal form.

150%/100 = 1.5

Multiply his normal pay by the rate in decimal form.

$15 X 1.5 = $22.5

His OT pay is $22.5/h.

Additional money

= (OT pay) - (Normal pay)

= $22.5 - $15

= $7.5

We always use two decimal places for money.

$7.5 = $7.50

For every hour he works over 40 hours, he is paid an additional $7.50.

5 0

4 years ago

Determine the graph that represents a function.

dedylja [7]

3rd one there cant be anything under or over a line so it cant be the circle or the parabola so it has to be the 3rd one

3 0

3 years ago

Read 2 more answers

frozen [14]

Answer:

1

Step-by-step explanation:

Using two points on the line, (0, -3) and (3, 0),

$Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}$

Let,

$(0, -3) = (x_1, y_1)$

$(3, 0) = (x_2, y_2)$

Plug in the values

$Slope (m) = \frac{0 -(-3)}{3 - 0} = \frac{3}{3} = 1$

Slope = 1

4 0

3 years ago