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alexgriva [62]
2 years ago
9

The stone, an English unit of weight, is equal to 14

Mathematics
1 answer:
lubasha [3.4K]2 years ago
8 0

9514 1404 393

Answer:

  110 stones

Step-by-step explanation:

Using your conversion factors, you get ...

  0.7\text{ T}\cdot\dfrac{1000\text{ kg}}{1\text{ T}}\cdot\dfrac{2.2\text{ lb}}{1\text{ kg}}\cdot\dfrac{1\text{ st}}{14\text{ lb}}=\dfrac{0.7\cdot1000\cdot2.2}{14}\text{ st}\\\\=\boxed{110\text{ st}}

_____

<em>Additional comment</em>

The exact conversion between kg and pounds is 1 lb = 0.45359237 kg. The number 2.2 is approximate, low by approximately 0.21%.

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The sugar content of the syrup is canned peaches is normally distributed. Assumethe can is designed to have standard deviation 5
andreyandreev [35.5K]

Answer: 0.50477

Step-by-step explanation:

Given : The sugar content of the syrup is canned peaches is normally distributed.

We assume the can is designed to have standard deviation \sigma=5 milligrams.

The sampling distribution of the sample variance is chi-square distribution.

Also,The data yields a sample standard deviation of s=4.8 milligrams.

Sample size : n= 10

Test statistic for chi-square :\chi^2=\dfrac{s^2(n-1)}{\sigma^2}

i.e. \chi^2=\dfrac{(4.8)^2(10-1)}{(5)^2}=8.2944

Now, P-value = P(\chi^2>8.2944)=0.50477  [By using the chi-square distribution table for p-values.]

Hence, the chance of observing the sample standard deviation greater than 4.8 milligrams = 0.50477

8 0
3 years ago
If f(x) = 3x^2 – 2x + 4 and g(x) = 5x^2 + 6x – 8, find (f - g)(x).
meriva

Answer:

-2x^2-8x+12

Step-by-step explanation:

f-g=(3x^2-2x+4)-(5x^2+6x-8)=3x^2-2x+4-5x^2-6x+8=\\ =-2x^2-8x+12

5 0
3 years ago
Read 2 more answers
2. Which graph represents the solution to the given system? (1 point)
matrenka [14]

Answer:

1000000000000000million

4 0
2 years ago
A student performed the following steps to find the solution to the equation
rusak2 [61]

Answer:

D

Step-by-step explanation:

step 2 : x + 3 = 0 and x - 5 = 0 ← correct

step 3

x = 3 and x = - 5 ← error made here with signs, correct statement should be

x + 3 = 0 ⇒ x = - 3

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3 0
1 year ago
a major metroplitan newspaper selected a simple random sample of 1,600 readers from their list of 100,000 subscribers. they aske
Arisa [49]

Answer:

The 99% confidence interval for the proportion of readers who would like more coverage of local news is (0.3685, 0.4315).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 1600, \pi = 0.4

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 - 2.575\sqrt{\frac{0.4*0.6}{1600}} = 0.3685

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 + 2.575\sqrt{\frac{0.4*0.6}{1600}} = 0.4315

The 99% confidence interval for the proportion of readers who would like more coverage of local news is (0.3685, 0.4315).

7 0
3 years ago
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