Whoever gets this right gets brainlyess answer and it's worth 10 points :)

Max has more than 5 carrots (number of carrots Max has = c

Zinaida [17]

C>5 Hope this helps.

8 0

3 years ago

The cost of hiring a games console has a one-off cost of £9 plus 50p every day.

Serjik [45]

C=£9+50f
Please let me know if it’s correct also please mark brainliest please.

5 0

3 years ago

A simple random sample of 90 is drawn from a normally distributed population, and the mean is found to be 138, with a standard d

bagirrra123 [75]

The 90% confidence interval for the population mean of the considered population from the given sample data is given by: Option C: [130.10, 143.90]

<h3>
How to find the confidence interval for population mean from large samples (sample size > 30)?</h3>

Suppose that we have:

Sample size n > 30
Sample mean = $\overline{x}$
Sample standard deviation = s
Population standard deviation = $\sigma$
Level of significance = $\alpha$

Then the confidence interval is obtained as

Case 1: Population standard deviation is known

$\overline{x} \pm Z_{\alpha /2}\dfrac{\sigma}{\sqrt{n}}$

Case 2: Population standard deviation is unknown.

$\overline{x} \pm Z_{\alpha /2}\dfrac{s}{\sqrt{n}}$

For this case, we're given that:

Sample size n = 90 > 30
Sample mean = $\overline{x}$ = 138
Sample standard deviation = s = 34
Level of significance = $\alpha$ = 100% - confidence = 100% - 90% = 10% = 0.1 (converted percent to decimal).

At this level of significance, the critical value of Z is: $Z_{0.1/2}$ = ±1.645

Thus, we get:

$CI = \overline{x} \pm Z_{\alpha /2}\dfrac{s}{\sqrt{n}}\\CI = 138 \pm 1.645\times \dfrac{34}{\sqrt{90}}\\\\CI \approx 138 \pm 5.896\\CI \approx [138 - 5.896, 138 + 5.896]\\CI \approx [132.104, 143.896] \approx [130.10, 143.90]$

Thus, the 90% confidence interval for the population mean of the considered population from the given sample data is given by: Option C: [130.10, 143.90]

Learn more about confidence interval for population mean from large samples here:

brainly.com/question/13770164

3 0

2 years ago

Afriend gives you a puppy for your birthday and offers to buy fencing for a dog run. What shape gives your puppy more area to ru

HACTEHA [7]

Answer:

B. regular hexagon

Step-by-step explanation:

Let's say he gives you x length of fencing.

Rectangle

The rectangle has length L and width 2L.

The perimeter is L + 2L + L + 2L

L + 2L + L + 2L = x

6L = x

L = x/6

2L = 2x/6 = x/3

The area of the rectangle is

A = length * width

A = x/6 * x/3 = x^2/18

A = 0.0556x^2

For the rectangle, the area is x^2/18.

Square

The length of each side is L.

The perimeter is 4L.

4L = x

L = x/4

The area of the square is

A = side^2

A = (x/4)^2 = x^2/16

A = 0.0625x^2

For the square, the area is x^2/16.

Regular hexagon

The length of fencing is x.

The regular hexagon has 6 congruent sides.

The length of each side is L.

The perimeter is 6L

6L = x

L = x/6

The length of each side is x/6.

A hexagon can be divided into 6 congruent equilateral triangles.

Each triangle can be divided into 2 congruent right triangles by drawing an altitude from the vertex at the center of the triangle to the midpoint of the side of the hexagon. Each right triangle is a 30-60-90 triangle. Half of the side of the hexagon measures x/12. By the ratios of the lengths of sides of a 30-60-90 triangle, the other leg has length x*sqrt(3)/12. The area of the hexagon is 6 times the area of one equilateral triangle.

area = 6 * area of equilateral triangle

area = 6 * bh/2

area = [6 * x/6 * x * sqrt(3)/12]/2

area = x^2*sqrt(3)/24

A = 0.0722x^2

The approximate areas are:

rectangle: 0.0556x^2

square: 0.0625x^2

hexagon: 0.0722x^2

The largest area is that of the regular hexagon.

3 0

3 years ago

Todd foley is applying for a 100,000 mortgage. he can get a 600 monthly payment for principal and interest and no points, or a 5

Aleks [24]

Answer:

D. 25

Step-by-step explanation:

The 2 points cost Foley 2% × $100,000 = $2000. He saves $600 -520 = $80 per month, so it will take him

... $2000/($80/mo) = 25 mo

to save the cost of the points.

3 0

4 years ago