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Aleksandr [31]
3 years ago
12

Your class hopes to collectat least 325 cans of food for he annual food drive. there were 135 cans donated the firstweek and 89

more the second week. a. Write an inequality that describes this situation. Let c represent the number of cans of food that must be collected by the end of the third week for our class to meet or surpass its goal. b. How many cans are neded to meet or surpss the goal?
Mathematics
1 answer:
drek231 [11]3 years ago
8 0
Total number of cans that need to be collected = 325
Number of cans collected in first week = 135
Number of cans collected in the second week = 89
The number of cans collected in third week = c
Then the inequality equation will be
135 + 89 + c = 325
224 + c = 325
c = 325 - 224
   = 101
So at least 101 cans are required to meet the goal and more that 101 cans will surpass the goal.
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5 0
1 year ago
A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range
maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, \hat p.

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

Given:

n = 150

\hat p = 0.68

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the 95% confidence interval for proportion as follows:

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.68\pm1.96\sqrt{\frac{0.68(1-0.68)}{150}}\\\\=0.68\pm 0.0747\\\\=(0.6053, 0.7547)\\\\\approx (0.61, 0.75)

Thus, the reasonable range for the population mean is (61%, 75%).

5 0
3 years ago
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3 years ago
6x+9y-12=0 ‎‎‎‎‎ ‎‎‎‎
77julia77 [94]

Answer:

x = 2

Step-by-step explanation:

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6 0
2 years ago
Given g(x) = -X – 1, solve for x when g(x) = 3.
Vika [28.1K]

Answer:

-4 = x

Step-by-step explanation:

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3+1 = -x-1+1

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Multiply by -1

-4 = x

8 0
3 years ago
Read 2 more answers
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