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Gnesinka [82]
3 years ago
14

aleta's puppy gained 3/8 pounds each week for 4 weeks. altogether, how much weight did the puppy gained

Mathematics
1 answer:
Arturiano [62]3 years ago
8 0
1 1/2 pounds is how much her puppy gained altogether
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The median would decrease because the temperature given is lower than the median
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Simplify x + 3x – 36.
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X + 3x - 36.....x is the same as 1x....combine like terms
1x + 3x - 36 = 4x - 36 <==
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Find percentage of each quantity. 40% of an hour <br> In hours and minutes
matrenka [14]

Answer:

Step-by-step explanation:

40% of an hr.....an hr is 60 minutes...so 40% of 60 minutes =

0.4(60) = 24 minutes

8 0
4 years ago
In a study of government financial aid for college​ students, it becomes necessary to estimate the percentage of​ full-time coll
algol13

Answer:

(a) The sample size required is 2401.

(b) The sample size required is 2377.

(c) Yes, on increasing the proportion value the sample size decreased.

Step-by-step explanation:

The confidence interval for population proportion <em>p</em> is:

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

The margin of error in this interval is:

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

The information provided is:

MOE = 0.02

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

(a)

Assume that the proportion value is 0.50.

Compute the value of <em>n</em> as follows:

MOE=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\0.02=1.96\times \sqrt{\frac{0.50(1-0.50)}{n}}\\n=\frac{1.96^{2}\times0.50(1-0.50)}{0.02^{2}}\\=2401

Thus, the sample size required is 2401.

(b)

Given that the proportion value is 0.55.

Compute the value of <em>n</em> as follows:

MOE=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\0.02=1.96\times \sqrt{\frac{0.55(1-0.55)}{n}}\\n=\frac{1.96^{2}\times0.55(1-0.55)}{0.02^{2}}\\=2376.99\\\approx2377

Thus, the sample size required is 2377.

(c)

On increasing the proportion value the sample size decreased.

8 0
4 years ago
The pressure at sea level is 11 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of
Taya2010 [7]

Answer:

p(x) = 0.1x + 1

Step-by-step explanation:

Pressure at sea level = 1 atmosphere

Depth dove by Sydney = 23 meters

Pressure at a depth of 23 meters = 3.3 atmospheres

So,

Pressure at a depth of 23 meters = Pressure at sea level + k * Depth dove by Sydney

where k is  the diving rate constant

=> 3.3 = 1 + k(23)

=> 3.3 = 23k + 1

Subtracting 1 from both the sides, we get

3.3 - 1 = 23k + 1 -1

Cancelling out the +1 and -1 from the right side, we get

2.3 = 23k

=> 23k = 2.3

Dividing both sides by 23, we get

\frac{23k}{23} = \frac{2.3}{23}

Cancelling out the 23's from the top and bottom of the left side, we have

k = 0.1

Plugging in the value of k in the equation, we get

Pressure at a particular depth = Pressure at sea level + k * Depth dove by Sydney

p(x) = 1 + k(x)     [where p(x) is the pressure at a depth x]

=> p(x) = 1 + 0.1(x)

=> p(x) = 0.1x + 1

5 0
3 years ago
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