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Juliette [100K]
3 years ago
8

-4(w+1)=24 solve for n

Mathematics
2 answers:
Ede4ka [16]3 years ago
8 0

Answer:

-7 = w

Step-by-step explanation:

Ratling [72]3 years ago
8 0

Answer:

w=(-7)

Step-by-step explanation:

-4(w+1)=24 Distribute

-4w-4=24 Add 4 to both sides

-4w=28 Divide by negative 4

w=-7 Anwer

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Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65
erma4kov [3.2K]

Answer:

Probability that the sample average is at most 3.00 = 0.98030

Probability that the sample average is between 2.65 and 3.00 = 0.4803

Step-by-step explanation:

We are given that the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65 and standard deviation 0.85.

Also, a random sample of 25 specimens is selected.

Let X bar = Sample average sediment density

The z score probability distribution for sample average is given by;

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

where, \mu = population mean = 2.65

           \sigma  = standard deviation = 0.85

            n = sample size = 25

(a) Probability that the sample average sediment density is at most 3.00 is given by = P( X bar <= 3.00)

    P(X bar <= 3) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } <= \frac{3-2.65}{\frac{0.85}{\sqrt{25} } } ) = P(Z <= 2.06) = 0.98030

(b) Probability that sample average sediment density is between 2.65 and 3.00 is given by = P(2.65 < X bar < 3.00) = P(X bar < 3) - P(X bar <= 2.65)

P(X bar < 3) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{3-2.65}{\frac{0.85}{\sqrt{25} } } ) = P(Z < 2.06) = 0.98030

 P(X bar <= 2.65) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } <= \frac{2.65-2.65}{\frac{0.85}{\sqrt{25} } } ) = P(Z <= 0) = 0.5

Therefore, P(2.65 < X bar < 3)  = 0.98030 - 0.5 = 0.4803 .

                                                                             

8 0
4 years ago
236462700.806 to the nearest cent
Rzqust [24]

Answer:

236462700.81

Step-by-step explanation:

The nearest cent refers to the hundreds place, because 100 pennies (or cents) make 1 dollar. We look at the number to the right of the hundredths place and if it is less than 5 we round down, but if it is 5 or more we round up. Since 6 is more than five we round up, and are left with 236462700.81.

8 0
3 years ago
What is the area of the triangle shown below?
Effectus [21]

Answer:

42 sq. Units

Step-by-step explanation:

I took the test

7 0
3 years ago
A liquid shake is being served in a cone shaped container with a base diameter of 8 centimeters and a height of 22 centimeters.
zhuklara [117]

Answer:

The container weighs approximately 28 g.

Step-by-step explanation:

In order to solve this problem we first need to calculate the volume of the container, since it's shaped like a cone we must use the following formula:

volume container = (pi*r²*h)/3

Applying the data from the problem:

r = d / 2 = 8/2 = 4 cm

volume container = [pi*(4)²*22]/3

volume container = (pi*16*22)/3

volume container = (352*pi)/3 = 368.6135 cm³

Since the density is 0.82 g/cm³, we can find the mass of the shake by using the following formula:

density = mass / volume

shake mass = density*volume = 0.82*368.6135 = 302.26307 g

Since the container plus shake weighs 330 grams, then the container alone weighs:

container = 330 -302.26307 = 27.73693 g

The container weighs approximately 28 g.

5 0
4 years ago
For the statement​ below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify wh
vfiekz [6]

The question is not complete, so i have attached it.

Answer:

A) Option B: μ ≤ 19,000

B) Option C:

H0: μ ≤ 19,000

Ha: μ > 19,000

C) Option D: The null hypothesis H0: μ ≤ 19,000 is the claim

Step-by-step explanation:

A) From the question, we are told that an amusement park claims that the mean daily attendence at the park is at most 19,000 people.

Now, since it's at most 19000 people, it means that they are either 19000 or less. So the claim is;

μ ≤ 19,000 which is option B

B) Now, the claim is usually the null hypothesis. Thus, the null hypothesis is;

H0: μ ≤ 19,000

While the alternative hypothesis which states the opposite of the claim is;

Ha: μ > 19,000

So, option C is the correct answer

C) The claim is μ ≤ 19,000

Now, this also happens to be the null hypothesis.

Thus, the null hypothesis H0: μ ≤ 19,000 is the claim.

So option D is correct.

6 0
4 years ago
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