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melomori [17]
3 years ago
5

What is 3x+5x(5-5) please help Add me on roblox dri_thebeat

Mathematics
2 answers:
Aleks [24]3 years ago
4 0

Answer:

3x

Step-by-step explanation:

3x+5x(5-5)

3x+5x(0)

3x+0

allsm [11]3 years ago
4 0

Answer:

3x

Step-by-step explanation:

1). First you distribute the 5 inside the parenthesis to all of the terms.And it will look like the following:

             3x+25x-25x

2). Next, the terms you just ditributed will cancel and you are left with 3x.

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iren [92.7K]
I figured out that <span>0.7=7/W means that W=10.

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3 years ago
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Suppose a certain capsule is manufactured so that the dosage of the active ingredient follows the distribution Y ~ N(μ = 10 mg,
lianna [129]

Answer:

(a) Probability that Y falls into the dangerous region is 0.0013.

(b) Probability that the mean Y-bar falls into the dangerous region is 0.00001.

Step-by-step explanation:

We are given that a certain capsule is manufactured so that the dosage of the active ingredient follows the distribution Y ~ N(μ = 10 mg, σ = 1 mg).

A dosage of 13 mg is considered dangerous.

Let Y = <u><em>dosage of the active ingredient </em></u>

The z-score probability distribution for normal distribution is given by;

                                 Z  =  \frac{ Y-\mu}{\sigma} } }  ~ N(0,1)

where, \mu = population mean = 10 mg

            \sigma = standard deviation = 1 mg

(a) Probability that Y falls into the dangerous region is given by = P(Y \geq 13 mg)

       P(Y \geq 13 mg) = P( \frac{ Y-\mu}{\sigma} } } \geq \frac{ 13-10}{1} } } ) = P(Z \geq 3) = 1 - P(Z < 3)  

                                                          = 1 - 0.9987 = <u>0.0013</u>

The above probability is calculated by looking at the value of x = 3 in the z table which has an area of 0.9987.

(b) We are given that a dosage of 13 mg is considered dangerous. And we sample 49 capsules at random.

Let \bar Y = sample mean dosage

The z-score probability distribution for sample mean is given by;

                                 Z  =  \frac{\bar Y-\mu}{\frac{\sigma}{\sqrt{n} } } } }  ~ N(0,1)

where, \mu = population mean = 10 mg

            \sigma = standard deviation = 1 mg

            n = sample of capsules = 49

So, Probability that the mean Y-bar falls into the dangerous region is given by = P(\bar Y \geq 13 mg)

          P(Y \geq 13 mg) = P( \frac{\bar Y-\mu}{\frac{\sigma}{\sqrt{n} } } } } \geq \frac{13-10}{\frac{1}{\sqrt{49} } } } } ) = P(Z \geq 21) = 1 - P(Z < 21)  

                                                             = <u>0.00001</u>

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3 years ago
An airplane is traveling at 400 miles per hour. Which equation can be used to find the total distance the plane will travel in h
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In a random sample of 9 residents of the state of Florida, the mean waste recycled per person per day was 2.4 pounds with a stan
alina1380 [7]
<h2>Answer with explanation:</h2>

When the sample size is small (< 30) and the population standard deviation is unknown , then we use t-test.

The confidence interval for population mean will be :

\overline{x}\pm t^*\dfrac{s}{\sqrt{n}}   (1)

, where \overline{x} = sample mean

t* = Critical value (based on degree of freedom and significance level).

s= sample standard deviation

n= sample size.

As per given we have

n= 9

Degree of freedom = n-1 = 8

\overline{x}=2.4

s= 0.75

Significance level =\alpha=1-0.80=0.20

Using students' t distribution table ,

Critical value : t^*=t_{\alpha/2,df}=t_{0.10,8}=1.3304

We assume that the population is approximately normal.

Then, a 80% confidence interval for the mean waste recycled per person per day for the population of Florida will be :

2.4\pm (1.3304)\dfrac{0.75}{\sqrt{8}}   (Substitute the values in (1))

2.4\pm (1.3304)\dfrac{0.75}{2.82842712475}

2.4\pm (1.3304)(0.265165042945)

2.4\pm 0.352775573134\approx2.4\pm0.353=(2.4-0.353,\ 2.4+0.353)=(2.047,\ 2.753)

Hence, the 80% confidence interval for the mean waste recycled per person per day for the population of Florida. = (2.047, 2.753)

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