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Umnica [9.8K]
3 years ago
11

Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the sit

uation can be modeled by the equation, where t is the number of hours it would take to clear the field together.
How long will it take Ted and Jacob to clear the field together?
Mathematics
2 answers:
meriva3 years ago
6 0

Answer:

Its c 1 hour and 12 minutes

Step-by-step explanation:

shutvik [7]3 years ago
5 0

Answer:

\frac{6}{5} of an hour = 1 1/5 hour = 72 minutes

Step-by-step explanation:

\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h  =1\\\\h=\frac{6}{5}

You might be interested in
A yearbook company was investigating whether there is a significant difference between two states in the percents of high school
vovikov84 [41]

Answer:

Null hypothesis: p_1 = p_2

Alternative hypothesis: p_1 \neq p_2

So we need to conduct a:

D. A two-sample z-test for a difference in population proportions

Because the idea is to check if the population proportions in the states are similar or not.

Step-by-step explanation:

For this case they are trying two proof if there is a significant difference between two states in the percents of high school students who order yearbooks, and we chan check this with the difference of proportions.

Lets say that p_1,p_2 are the two proportions of interest and we want to check the following hypothesis:

We have the following info given:

\hat p_1 = \frac{70}{150}= 0.47 proportion of students that had ordered a yearbook from one state

\hat p_2= \frac{65}{100}= 0.65 proportion of students that had ordered a yearbook from another state

n_1 = 150 sample size from one state

n_2=100 sample size from another state

Null hypothesis: p_1 = p_2

Alternative hypothesis: p_1 \neq p_2

So we need to conduct a:

D. A two-sample z-test for a difference in population proportions

Because the idea is to check if the population proportions in the states are similar or not.

5 0
3 years ago
1 and 2 are examples but I still need help , I don’t understand n this is due today
Svetllana [295]

Answer:

A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. ... However, numbers like √2 are irrational because it is impossible to express √2 as a ratio of two integers.

The perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 … Here are the square roots of all the perfect squares from 1 to 100. 1.

8 0
3 years ago
Is -.012578142 rational or irrational
Natali5045456 [20]

Answer:

it is a irrational number

7 0
3 years ago
How do you find total bill for simple interest
stepan [7]

Answer:

I=Prt,  I=simple interest, P=principal (starting amount), r=interest as a decimal, t =number of times the interest is paid or "time"

For example the simple interest earned on a $1000 deposit earning 4% APR for ten years is:

I=1000(.04)10

I=$400.00

Step-by-step explanation:

8 0
3 years ago
Expand (2 + a)9 using Pascal’s triangle.
Natalija [7]

Answer:

Step-by-step explanation:

The Pascal triangle is used to determine the coefficients of the terms when we expand the expression.

                                             1                                (A + B) ^ 0 = 1

                                         1       1                            (A +B ) ^ 1 = 1A + 1B

                                   1          2        1          (A+ B) ^ 2 = 1A^2 + 2 AB + 1B^2

By extending the triangle, you will get the 9th row, which is your expression, of the coefficients. that is

1          9       36    84    126    126    84    36    9    1

Now, fill in AB in the gaps.

1AB + 9 AB + 36AB + 84AB + 126AB + 126AB +84AB + 36AB + 9AB + 1AB

Next, you need to go from the left to fill out the exponent of A and it will go down from 9 (the exponent of the whole thing) . That is

1A^9B+9A^8B+36A^7B+84A^6B+126A^5B+126A^4B+84A^3B+36A^2B+9A^1B+1A^0B

Next will be the exponent of B. this time, you go from the right and do the same with A. You can go from the left also, but go up from 0 to 9 for the exponent of B

1A^9B^0+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+1A^0B^9

The last step is just to simplify the A^0=1 and B^0 =1 at the first and the last terms.

A^9+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+B^9

Hope you can learn the method

5 0
3 years ago
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