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mixas84 [53]
3 years ago
11

PLEASE ANSWER!!! WILL MARK BRAINLIEST :D

Mathematics
1 answer:
Anastaziya [24]3 years ago
3 0
30/100=x
0.30a=x
x/0.30
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1. A food safety guideline is that the mercury in fish should be below 1 part per million​ (ppm). Listed below are the amounts o
Sauron [17]

Answer:

The confidence interval estimate of the population mean is :

(0.61 ppm, 0.90 ppm)

The correct option is (A).

Step-by-step explanation:

The amounts of mercury​ (ppm) found in tuna sushi sampled at different stores in a major city are:

S = {0.58, 0.82, 0.10, 0.98, 1.27, 0.56, 0.96}

A (100-\alpha )\% confidence interval for the population mean (μ) is an interval estimate of the true value of the mean. This interval has a (100-\alpha )\% probability of consisting the true value of mean.

⇒ Since the population standard deviation is not provided we will use the <em>t</em>-distribution to construct the 99% confidence interval for mean.

⇒ The formula for confidence interval for the population mean is:

                                          \bar x\pm t_{\alpha/2,(n-1)}\times \frac{s}{\sqrt{n}}

Here,

\bar x = sample mean

<em>s </em>= sample standard deviation

<em>n</em> = sample size

t_{\alpha/2,(n-1)} = critical value.

The degrees of freedom for the critical value is, (<em>n</em> - 1) = 7 - 1 = 6.

The significance level is: \alpha =1-Confidence\ level=1-0.99=0.01

The critical value is:

t_{\alpha/2,(n-1)}=t_{0.01/2, 7}=t_{0.05,7}=3.143

**Use the <em>t</em>-table for the critical value.

Compute the sample mean and sample standard deviation as follows:

\bar x=\frac{1}{7}(0.58+ 0.82+ 0.10+ 0.98+ 1.27+ 0.56+ 0.96) =0.753

\int\limits^a_b {x} \, dx s=\sqrt{\frac{\sum (x{i}-\bar x)^{2}}{n-1} } =\sqrt{\frac{1}{6} \times 0.859743} =0.379

The 99% confidence interval for μ is:

x^{2} CI=0.753\pm 3.143\times\frac{0.379}{\sqrt{7}} \\=0.753\pm0.143\\=(0.61, 0.896)\\\approx(0.61, 0.90)

The confidence interval estimate of the population mean is:

(0.61 ppm, 0.90 ppm)

The upper and lower limit of the 99% confidence interval indicates that the true mean value is less than 1 ppm. This implies that there is not too much mercury in tuna sushi

Because it is possible that the mean is not greater than 1 ppm. Also, at least one of the sample values is less than 1 ppm, so at least some of the fish are safe.

Thus, the correct option is (A).

6 0
3 years ago
If u mix 2.5 cups of water with 1/3 cup of lemonade what would the answer be
schepotkina [342]
The total volume I suppose is what you are asking.
You can simplify this into 1/3 = .33
2.5 + .33 = 2.88 cups.
6 0
3 years ago
This is number 8. And I need help.
ANEK [815]
It would be the first one because it says that there are 4 times as many red roses as pink roses and so that would be represented r=4p

Hope this helps! Good luck!
6 0
3 years ago
Read 2 more answers
Solve for X and round to the nearest hundredth
Archy [21]

Answer:

Pretty sure it's 20.24.

Step-by-step explanation:

Since you know the side adjacent to the reference angle and you want to find the side opposite, you're going to need to use tangent, which is opp/adj.

tan(39) = \frac{x}{25}

Find the tangent of 39...

0.8097 is the approximate value. So...

0.8097 = \frac{x}{25}

Now, switch the sides to make it easier.

\frac{x}{25} = 0.8097

Multiply both sides by 25.

x = 20.24

3 0
3 years ago
What are the zeros of the following quadratic equation: y = 6x2 - 17x - 3
Mama L [17]

Answer:

\displaystyle x=-\frac{1}{6}, 3

Step-by-step explanation:

Hi there!

y = 6x^2 - 17x - 3

Factor by grouping:

y = 6x^2 - 18x+1x - 3\\y = 6x(x- 3)+1x - 3\\y = 6x(x- 3)+(x - 3)\\y = (6x+1)(x- 3)

Let y=0. Apply the zero product property:

0 = (6x+1)(x- 3)

6x+1=0\\6x=-1\\\\\displaystyle x=-\frac{1}{6}

AND

x-3=0\\x=3

I hope this helps!

5 0
3 years ago
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