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4 years ago

What number best completes both equations? 5/7÷1/3=? ?×1/3=5/7

1 answer:

6 0

<span>15/7 is the best number which completes both equations.If 5/7Ă·1/3 then it becomes 5/7 X 3/1 where 1/3 in denominator becomes 3/1 so that the value is 15/7 then 15/7 multiplied by 1/3 which yields 5/7.So we derive the final answer 5/7.This result involves only simple multiplication and division.</span>

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I need help with my math

Komok [63]

The answer to your question is 162

2=2
2*3=6
2*3*3=18
2*3*3*3=54
2*3*3*3*3=162

5 0

3 years ago

Yuri descended 450 feet down a

skelet666 [1.2K]

The change is 150 because you would divide 450/3

8 0

3 years ago

Please help me.

mr_godi [17]

To solve this problem, the first thing we have to do is find the volume of the inside of each glass.

Glass 1 is a cylinder with a height of 6 cm and a radius of 3 cm (6 cm / 2).

The formula for finding the volume of a cylinder is V = πr²h; where r is the radius and h is the height. First, assign values to the variables (I will use 3.14 for pi).

π = 3.14

r = 3

h = 6

Then, just substitute into the equation and solve.

V = πr²h

V ≈ (3.14)(3²)(6)

V ≈ (3.14)(9)(6)

V ≈ 169.56 cm³

I use the "≈" symbol to indicate that the answer is not exact due to me rounding pi. Let me know if you need to know the exact volume.

Glass 2 can be separated into both a cylinder and a half circle to make it easier to solve. The cylinder is 3 inches high with a radius of 3 cm.

V ≈ πr²h

V ≈ (3.14)(3²)(3)

V ≈ (3.14)(9)(3)

V ≈ 84.78 cm³

The formula for finding the volume of a half-circle (or half-<em>sphere</em>, I should say) is V = (4/3 πr³) / 2. The half-sphere has a radius of 3 cm and a height of 3 cm.

V = (4/3)(3.14)(3³) / 2

V ≈ 113.04 / 2

V ≈ 56.52 cm³

Then just add the two volumes together to get the volume of the whole glass.

84.78 + 56.52 = 141.3

V ≈ 141.3 cm³

Glass 3 is a cone. The volume for finding the volume of a cone is

V = πr²(h/2)

Before we can solve for the volume, though, we first need to find the height. This is a right cone, meaning that a straight line running from the center of its base to its tip forms a right angle with the base. This allows use to use the Pythagorean Theorem to find h using the radius and the lateral height.

a² + b² = c²

3² + b² = 7²

9 + b² = 49

9 + b² - 9 = 49 - 9

b² = 40

√b² = √40

b ≈ 6.32

V ≈ (3.14)(3²)(6.32 / 3)

V ≈ (28.26)(≈2.11)

V ≈ 59.6286 cm³

Two more steps to go...

Now, we have to find the volume of a single ice cube.

V = (4/3)πr³

V ≈ (4/3)(3.14)(1³)

V ≈ 4.19 cm³

Finally, to finish solving the problem, we have to find out how many ice cubes can fit inside each glass. To do this, we just divide the volume of the glass by the volume of the ice cube.

Glass 1

169.56 / 4.19 ≈ 40.47 or just 40.

Glass 2

141.3 / 4.19 ≈ 33.72 or 34.

Glass 3

59.6286 / 4.19 ≈ 11.84 or 12.

I know it's kinda long and the answer's might not match up exactly with the ones you were supposed to give, but I hope it helps all the same!

And if you want to know the exact volumes (in terms of pi instead of 3.14 for pi), just let me know and I can get that for you.

5 0

4 years ago

According to the 2017 Corporate Travel Index compiled by Business Travel News, the average daily cost for business travel in the

Gemiola [76]

Answer:

1) X[bar]= $262.60

2) S= $83.55

3) [$57.47; $152.55]

Step-by-step explanation:

Hello!

The objective is to study the average daily cost for business travel in the United States. To test this a sample of the estimated living expenses to 10 international cities was taken. The study variable is X: estimated living costs (including a single room at 4 stars hotel, beverages, breakfast, taxi fares, and incidental costs) on an international city.

Sample data:

n=10

242.87, 260.93, 194.19, 260.86, 355.36, 211.00, 284.08, 139.16, 436.72, 240.87

∑Xi= 2626.04

∑Xi²= 752439.39

The sample mean is calculated by adding all the observed costs and divide it by the sample size:

X[bar]= ∑Xi/n = 2626.04/10= $262.60

To calculate the standard deviation of the sample you have to calculate the sample variance first using the formula:

S²= $\frac{1}{n-1}[∑Xi^2-\frac{(∑Xi)^2}{n} ]$

S²= $\frac{1}{9}[752439.39-\frac{(2626.04)^2}{10} ]$

S²= 6981.1979

S= √S² = √6981.1979 = $83.55

To calculate a Confidence Interval for the population standard deviation, you have to first calculate the Confidence Interval for the population variance and then calculate it's square root to obtain the interval for the standard deviation.

This happens because to study a population parameter you need a statistic that follows the following conditions: 1) have known distribution, 2) include the population parameter and it's point estimator, 3) the only incognito of the statistic equation must be the parameter under study. There is no statistic that meets these conditions, but the chi-square statistic meets these conditions and allows you to study the population variance. And this is only possible if the study variable has a normal distribution.

Assuming that the daily living costs have a normal distribution, the formula of the Confidence Interval for the population variance is:

$[\frac{(n-1)S^2}{X^2_{(n-1); 1- \alpha/2} } ; \frac{(n-1)S^2}{X^2_{(n-1); \alpha/2} } ]$

$[\frac{9*6981.1979}{19.023} } ; \frac{9*6981.1979}{2.700} } ]$

[$²3302.88; $²23270.66]

So with a confidence level of 95% you'd expect that the confidence interval

[$²3302.88; $²23270.66] will contain the population variance of the estimated living costs (including single room at 4 stars hotel, beverages, breakfast, taxi fares and incidental costs) on an international city.

Now you calculate the square root of the interval:

[√$²3302.88; √$²23270.66]

[$57.47; $152.55]

And at the same level, you'd expect that the interval [$57.47; $152.55] contains the population standard deviation of the estimated living costs (including a single room at 4 stars hotel, beverages, breakfast, taxi fares, and incidental costs) on an international city.

I hope it helps!

6 0

3 years ago

Cindy read for å of an hour on Friday. She read for of an hour

Anettt [7]

Answer:

gjxnsthsjtdjts

Step-by-step explanation:

ueuwutetjskydjy

5 0

3 years ago