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Marysya12 [62]
3 years ago
6

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:
Mandarinka [93]3 years ago
7 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}

Nataly_w [17]3 years ago
3 0

Answer:

the answer is C. 1 hour 12 minutes

Step-by-step explanation:

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The students' attitudes were measured by administering the Computer Anxiety Rating Scale (CARS). A random sample of 11 nursing s
Fofino [41]

Answer:

There is enough evidence to claim that population mean 1 is less than population 2  at the 0.05 significance level.

Step-by-step explanation:

We are given the following in the question:

Group 1:

\mu_1 = 63.3\\\sigma_1 = 3.7\\n_1 = 11

Group 2:

\mu_2 = 70.2\\\sigma_2 = 6.6\\n_2 = 13

Alpha, α = 0.05

First, we design the null and the alternate hypothesis

H_{0}: \mu_1 \geq \mu_2\\H_A: \mu_1 < \mu_2

Since, the population variances are equal and that the two populations are normally distributed, we use t-test(pooled test) for difference of two means.

Formula:

Pooled standard deviation

s_p = \sqrt{\displaystyle\frac{(n_1-1)\sigma_1^2 + (n_2-1)\sigma_2^2 }{n_1 + n_2 - 2}}

t_{stat} = \displaystyle\frac{\mu_1-\mu_2}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}

\text{Degree of freedom} = n_1 + n_2 - 2

Putting all the values we get:

s_p = \sqrt{\displaystyle\frac{(11-1)(3.7)^2 + (13-1)(6.6)^2 }{11 + 13 - 2}} = \sqrt{29.9827} = 5.48

t_{stat} = \displaystyle\frac{63.3-70.2}{5.48\sqrt{\frac{1}{11}+\frac{1}{13}}} = -3.073

\text{Degree of freedom} = 11 + 13 - 2 = 22

Now,

t_{critical} \text{ at 0.05 level of significance, 22 degree of freedom } = -1.717

Since,

t_{stat} < t_{critical}

We fail to accept the null hypothesis and reject the null hypothesis. We accept the alternate hypothesis.

We conclude that the mean score for Group 1 is significantly lower than the mean score for Group 2.

There is enough evidence to claim that population mean 1 is less than population 2  at the 0.05 significance level.

6 0
3 years ago
What is the volume of this composite solid?
Marta_Voda [28]

Answer:

A: 64 cubic meters

Step-by-step explanation:

Multiply 7m, 2m, and 4m. You get 56

Then for the smaller cube multiply 2, 2, and 2

3 0
3 years ago
Read 2 more answers
Explain why the intercepts, on their own, cannot be used to graph the relation 5x+9y= 0.
goldfiish [28.3K]
5x + 9y = 0

to find the x int, sub in 0 for y and solve for x
5x + 9(0) = 0
5x = 0
x = 0

to find the y int, sub in 0 for x and solve for y
5(0) + 9y = 0
9y = 0
y = 0

the reason u cannot use just the intercepts is because the line goes through the origin (0,0)....The intercepts coincide giving u only 1 point...and that is not enough to graph a line
3 0
3 years ago
You research the cost of a gallon of gasoline over several years to look for a trend. The table shows your data. The line of bes
Blizzard [7]
Plotting the data to get the line of best fit, it is:
y<span> = 0.087</span>x<span> + 0.587

substitute x=2030-1980=50,
y = $4.94 is the price in 2030</span>
3 0
3 years ago
Andrew goes to a store an buys an item that costs xx dollars. He has a coupon for 35% off, and then a 8% tax is added to the dis
ANTONII [103]

Answer:

xx(0.65) + xx(0.08)

Step-by-step explanation:

First step is to find the discounted price. Finding 35% less than the original xx is the same as finding 65% of it, so we multiply by 0.65. Once this is completed we need to find 8% more than that. So we add 8% of xx, which is the same as multiplying by 0.08. Hope this helps :)

7 0
3 years ago
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