X =10-y sobre 2 x =6 + y sobre 2 a =7b–4 sobre 8 a =3b + 6 sobre 6

Suppose that 40% of cars in your area are manufactured in the U.S., 30% in Japan, 10% in Germany, and 20% in other

galben [10]

Answer:

A) The probability that a randomly chosen car is made in Germany or Japan is 40%.

B) The probability that a car chosen at random is not made in the United States is 60%.

C) The probability that two randomly chosen cars are both from Japan is 9%.

Step-by-step explanation:

Supposing that 40% of cars in my area are manufactured in the US, 30% in Japan, 10% in Germany, and 20% in other countries, to determine the probabilities that a car selected at random is made in Germany or Japan, a car selected at random is not US-made and two cars are selected at random, both are from Japan, the following calculations must be performed:

A)

(30 + 10) / 100 = X

40/100 = X

0.4 = X

Therefore, the probability that a randomly chosen car is made in Germany or Japan is 40%.

B)

(30 + 10 + 20) / 100 = X

60/100 = X

0.6 = X

Therefore, the probability that a car chosen at random is not made in the United States is 60%.

C)

10/30 x 10/30 = X

0.3 x 0.3 = X

0.09 = X

Therefore, the probability that two randomly chosen cars are both from Japan is 9%.

5 0

2 years ago

Find the X intercept and the Y intercept of the graph of the equation. 9/8x+8y=18

aleksandr82 [10.1K]

Answer:

$\large\boxed{x-intercept=16\to(16,\ 0)}\\\boxed{y-intercept=\dfrac{9}{4}\to\left(0,\ \dfrac{9}{4}\right)}$

Step-by-step explanation:

$\dfrac{9}{8}x+8y=18\\\\x-intercept\ \text{is for}\ y=0:\\\\\dfrac{9}{8}x+8(0)=18\\\\\dfrac{9}{8}x+0=18\\\\\dfrac{9}{8}x=18\qquad\text{multiply both sides by}\ \dfrac{8}{9}\\\\\dfrac{8\!\!\!\!\diagup^1}{9\!\!\!\!\diagup_1}\cdot\dfrac{9\!\!\!\!\diagup^1}{8\!\!\!\!\diagup_1}x=\dfrac{8}{9\!\!\!\!\diagup_1}\cdot18\!\!\!\!\!\diagup^2\\\\x=16\\\\y-intercept\ \text{is for}\ x=0:\\\\\dfrac{9}{8}(0)+8y=18\\\\0+8y=18\\\\8y=18\qquad\text{divide both sides by 8}\\\\y=\dfrac{18}{8}\\\\y=\dfrac{9}{4}$

8 0

3 years ago

Read 2 more answers

What is the expanded form of this number? 509.307

ioda

92828383939.949494949

8 0

3 years ago

Which of the following conditions must be met in order to make a statistical inference about a population based on a sample

klasskru [66]

Answer:

For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

$\bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})$

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

Step-by-step explanation:

For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

$\bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})$

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

7 0

3 years ago

Lakelyn is training for a triathlon she is practising her swiming running and biking skills so far she can swim at a rate of 250

Nezavi [6.7K]

Answer:

The answer to the question is

It would take Lalelyn bout 3 hours to run the 18m miles, and it will take her

$\frac{x}{1.7} +\frac{y}{6} +\frac{z}{12} = t$ and x +y+z =18 where x, y, and z are the distannce covered swimming, running and bikinr respectifully

Step-by-step explanation:

To solve the question, we lisrt out the variables as follows

Swimming speed of Lakelyn = 250 yards every 5 minutes or 250×12 = 3000 yards/hour = 1.7 miles/hr

Running speed of Lakelyn = 6 miles/hour

Biking speed = 12 miles/hour

The duration it will take for Lakelyn to run 18 miles is given by

Timee taken to run 18 miles t = (Distance covered)/ (Speed of Lakelyn))

or t = D/S

Substituting the known values of such as

Running speed of Lakelyn = 6 miles/hour

From which we have the time taken to run 18 miles = 18 miles /(6 miles/hour) = 3 hours

should the 18 miles form part of the triathlon then, we have

$\frac{x}{1.7} +\frac{y}{6} +\frac{z}{12} = t$ and x +y+z =18

Where x, y and z are the distance covered Swimming, Running and Biking respectively

4 0

3 years ago

Read 2 more answers