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3 years ago

6:9 9:12 which is greater?

Mathematics

1 answer:

gladu [14]3 years ago

8 0

Answer:

9:12 is bigger

Step-by-step explanation:

You need to make the fraction denominator equal

(6:9)

6*12=72

9*12=108

72/108

(9:12)

9*9=81

12*9=108

81/108

81 is bigger than 72

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A square ceiling has an area of 360 square feet. Alex wants to put molding around the entire perimeter of the ceiling. Approxima

Blababa [14]

Answer:

Option C is correct

76 feet

Step-by-step explanation:

Area of square(A) is given by:

$A =s^2$

where, s is the side of the square.

As per the statement:

A square ceiling has an area of 360 square feet.

⇒A = 360 square feet.

then;

$s^2 = 360$

⇒ $s = \sqrt{360} =18.973666$

Perimeter(P) of square is given by:

$P = 4s$

then;

$P = 4 \cdot 18.973666 = 75.894664 \approx 76 ft$

Therefore, 76 feet molding does he need.

7 0

4 years ago

After the first term in a sequence, the ratio of each term to the preceding term is r. If the first term is a, what is the third

irinina [24]

Answer:

The 3rd term is

$ar^2$

Step-by-step explanation:

From the given information, the first term of the sequence is

$a_1=a$

The common ratio of the sequence is

$r$

The explicit formula for a geometric sequence is :

$a_n=a_1(r^{n-1})$

To find the third term, we put n=3 to get:

$a_n=a(r^{3-1})$

This simplifies to:

$a_3=ar^2$

7 0

3 years ago

Based on historical data in Oxnard college, we believe that 37% of freshmen do not visit their counselors regularly. For this ye

slega [8]

Answer:

A sample size of 1031 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

37% of freshmen do not visit their counselors regularly.

This means that $\pi = 0.37$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?

A sample size of n is required.

n is found when M = 0.035. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.035 = 2.327\sqrt{\frac{0.37*0.63}{n}}$

$0.035\sqrt{n} = 2.327\sqrt{0.37*0.63}$

$\sqrt{n} = \frac{2.327\sqrt{0.37*0.63}}{0.035}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.37*0.63}}{0.035})^2$

$n = 1030.4$

Rounding up:

A sample size of 1031 is required.

4 0

3 years ago

Ryan fills a bath with

S_A_V [24]

Answer:

38.8 litres

Step-by-step explanation:

22.6 + 18.7 = 41.3

41.3 - 2.5 = 38.8

38.8 litres

4 0

2 years ago

Read 2 more answers

For each circle equation shown below, state the coordinates of its center and the length of its radius. (a) 2 216x y (b)

gavmur [86]

Answer:

(a) center: (0, 0); radius: 4

(b) center: (8, -3); radius: 10

(d) center: (6, 0); radius: 1

(e) center: (0, 0); radius: 5

(f) center: (3, 8); radius: 8

Step-by-step explanation:

In the figure attached, the complete question is shown.

Equation of a circle with center (h, k) and radius r:

(x - h)² + (y - k)² = r²

8 0

4 years ago

​6:9​ 9:12 which is greater?

6:9 9:12 which is greater?