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Crank
3 years ago
15

A room can be cleaned in 2 hours if rob and Harry work together. Ron could clean it in 3 hours. How long can harry clean it?

Mathematics
1 answer:
tresset_1 [31]3 years ago
6 0

Answer:

6 hours

Step-by-step explanation:

Let the total work be X

Combined speed: X/2

Ron's speed: X/3

Harry's speed: S

X/2 = X/3 + S

S = X/2 - X/3 = (3X - 2X)/6 = X/6

Harry's speed is X/6, so he'll take 6 hours

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The sum of two and the quotient of a number I and five.
Alona [7]

Answer:

2+n/5

Step-by-step explanation:

sum=plus

quotient=divide

number=n

4 0
2 years ago
Translate the sentence into an inequality <br> The sum of 3 and w is grater than 22
Marianna [84]
The answer is 3+w>22
4 0
3 years ago
Medicare would like to test the hypothesis that the average monthly rate for one-bedroom assisted-living facility is equal to $3
aliina [53]

Answer:

C) more than the absolute value of the critical value, we can conclude that the average monthly rate for an assisted-living facility is not equal to $3,300.

Step-by-step explanation:

Hello!

Interest hypothesizes is " the average monthly rate for one-bedroom assisted-living facility is equal to $3300" symbolically: μ = 3300

The study variable is:

X: Monthly rate for a one-bedroom assisted-living facility.

Since there is no information about the distribution of the variable, to be able to study the population mean, I'll assume that the variable has a normal distribution.

The hypothesis is:

H₀: μ = 3300

H₁: μ ≠ 3300

α: 0.05

The statistic to use, considering that there is no known population information and the sample size, is a Student t:

t= <u> X[bar] - μ </u> ~t_{n-1}

       S/√n

n= 12

X[bar]= $3690

S= $530

Using the sample data, calculate the statistic value:

t= <u> 3690 - 3300 </u> = 2.549

       530/√12

The rejection region for this test is two-tailed, with critical values:

t_{n-1; \alpha /2} = t_{11; 0.025} = -2.201

t_{n-1;1-\alpha /2} = t_{11; 0.975} = 2.201

The decision rule is:

Reject the null hypothesis if t ≤ -2.201 or if t ≥ 2.201

Not reject the null hypothesis if -2.201 < t < 2.201

Since the calculated value (2.549) is greater than the right critical value (2.201) the decision is to reject the null hypothesis.

With a signification level of 5%, there is enough evidence to reject the null hypothesis. This means that the population mean of the monthly rate for a one-bedroom assisted living facility is different from $3300.

I hope it helps!

7 0
3 years ago
Consider the tables that represent ordered pairs corresponding to a function and its inverse. When comparing the functions using
lara31 [8.8K]

Answer:

D)The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.

Step-by-step explanation:

The missing tables are:

First table  

x:    0  1    2

f(x): 1   10  100

Second table

x:         1000   100   10

f^-1(x):  3          2       1  

Option A is not correct because f(x) has a y-intercept at (0, 1)

If f(x) has a y-intercept, then f^-1(x) has a x-intercept, which is located at (1, 0). Then option B is not correct

Option C is not correct because the domain of f^-1(x) is associated with x values.

Option D is correct because the domain of f(x) is the range of f^-1(x) and vice versa

5 0
3 years ago
Read 2 more answers
Which pair of angles are vertical angles?
RUDIKE [14]
The answer is C because the angle equal each other.

5 0
3 years ago
Read 2 more answers
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