Reflecting the graph of y= cos x across the yaxis is the same as not

Melinda takes out a loan to purchase a car. The balance on her loan after x months is represented by the equation y = 10,000 – 2

Triss [41]

Answer: Melinda’s loan will be equal to the value of the car after 10 months.

Step-by-step explanation:

Hi, to answer this question we have to equal both equations:

Melinda’s loan will be equal to the value of the car

y = y

10,000 – 250x = 8,000 – 50x

Solving for x:

10,000-8,000 = -50x+250x

2,000 = 200x

2,000/200 =x

10 = x

Melinda’s loan will be equal to the value of the car after 10 months.

Feel free to ask for more if needed or if you did not understand something.

7 0

3 years ago

Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the pop

Andreyy89

Answer:

The smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.

Step-by-step explanation:

The complete question is:

The mean salary of people living in a certain city is $37,500 with a standard deviation of $2,103. A sample of n people will be selected at random from those living in the city. Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income. Round your answer up to the next largest whole number.

Solution:

The (1 - α)% confidence interval for population mean is:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

The margin of error for this interval is:

$MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

The critical value of z for 90% confidence level is:

z = 1.645

Compute the required sample size as follows:

$MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\cdot\sigma}{MOE}]^{2}\\\\=[\frac{1.645\times 2103}{500}]^{2}\\\\=47.8707620769\\\\\approx 48$

Thus, the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.

3 0

3 years ago

What is the biggest squime

Liono4ka [1.6K]

The largest squime is 25973641

8 0

3 years ago

Read 2 more answers

The ratio of boys to girls in a group is 5:3. If there are 24 more boys than girls, work out how many girls there are.

N76 [4]

Answer:

Hlo mate***!!!!!! here is ur ans.....

Answer is there are 40 girls in a class of 64 pupils.

Step-by-step explanation:

24 boys = 3: (So 8) a Ratio of 5 = 5x8 = 40, so Answer is there are 40 girls in a class of 64 pupils.

U 2 can help me by marking as brainliest.........

5 0

3 years ago

How do I calculate this? Is there a formula?

alex41 [277]

Answer:

Height of cables = 23.75 meters

Step-by-step explanation:

We are given that the road is suspended from twin towers whose cables are parabolic in shape.

For this situation, imagine a graph where the x-axis represent the road surface and the point (0,0) represents the point that is on the road surface midway between the two towers.

Then draw a parabola having vertex at (0,0) and curving upwards on either side of the vertex at a distance of $x = 600$ or $x = -600$ , and y at 95.