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Oksi-84 [34.3K]
3 years ago
5

Find the volume of the oblique rectangular prism with length 8 cm, width 2 cm, and height 5 cm.

Mathematics
2 answers:
raketka [301]3 years ago
8 0
80. You have to do length x width x height.
serious [3.7K]3 years ago
6 0
Answer is 80cm because you do length x width x height and get the answer
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The phenomenon of bottle flipping has hit the nation. You design a machine that can randomly flip a bottle. You observe 2180 ran
krek1111 [17]

Answer:

The variable of interest is the proportion of flips that land the correct way when flipped randomly.

The necessary conditions n\pi \geq 10 and n(1-\pi) \geq 10 are present.

The 98% confidence interval for the overall proportion of bottles that land correctly when flipped randomly is (0.131, 0.167).

Step-by-step explanation:

Variable of Interest:

Proportion of flips that land the correct way when flipped randomly.

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}.

Necessary conditions:

The necessary conditions are:

n\pi \geq 10

n(1-\pi) \geq 10

You observe 2180 random, independent flips, and 325 land the correct way.

This means that n = 2180, \pi = \frac{325}{2180} = 0.149

Necessary conditions

n\pi = 2180*0.149 = 325 \geq 10

n(1-\pi) = 2180*0.851 = 1855 \geq 10

The necessary conditions n\pi \geq 10 and n(1-\pi) \geq 10 are present.

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.33.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.149 - 2.33\sqrt{\frac{0.149*0.851}{2180}} = 0.131

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.149 + 2.33\sqrt{\frac{0.149*0.851}{2180}} = 0.167

The 98% confidence interval for the overall proportion of bottles that land correctly when flipped randomly is (0.131, 0.167).

8 0
3 years ago
Cathy bought 2 jars of sauce for $3. What is the constant of proportionality ?
Lera25 [3.4K]
It's $1.50 each jar
8 0
3 years ago
Please help asap!! will mark brainliest!!
Mamont248 [21]

Answer:

(x + 1) + (2x + 1) = 29

3x + 2 = 29

3x = 27

x = 9

8 0
3 years ago
A distributor claims that the chance that any of the three major components of a computer (CPU, monitor, and keyboard) is defect
Eva8 [605]

Answer: 94.09%

Step-by-step explanation:

Binomial probability formula :-

P(x)=^nC_xp^x(1-p)^{n-x}, where P(x) is the probability of getting success in x trials , n is number of trials and p is the probability of getting success in each trial.

Given : The probability that the any of the three major components of a computer is defective =0.03

Now, the probability that no more than one component is defected in a computer set :-

P(x\leq1)=P(0)+P(1)\\\\=^3C_0(0.03)^0(0.97)^3+^3C_1(0.03)^1(0.97)^2\\\\=(0.97)^3+(0.03)^1(0.97)^2=0.9409=94.09\%

Hence, the chance that no more than one component is defected in a computer set is 94.09% .

8 0
4 years ago
Plesase help me i am having trouble.
OLEGan [10]
$50 * .20 = $10
The book is $10
She now has $40
$40 * .15 = $6
The magazine is $6
4 0
3 years ago
Read 2 more answers
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