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3 years ago

5

A storé is offering a 20% discount on all items. Write an equation for the relationship between the discount price of an item, d

, and its original price, p.
HELP THANK S

1 answer:

prisoha [69]3 years ago

5 0

Answer:

There are many ways you can write this as an equation:

$d=p-20 %$ %

$d=.8p$

$d=p-.2p$

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Carry out the indicated operations and simplify where possible:

zzz [600]

Answer:

1/8

Step-by-step explanation:

<u>Solving in steps:</u>

x(8x - 8y)⁻¹ + y(8y - 8x)⁻¹ =
x/8(x-y) +y/8*(-(x-y))
x/8(x-y) - y/8(x-y) =
(x -y)/8(x-y) =
1/8

Answer is 1/8

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3 years ago

If a statistic used to estimate a parameter is such that the mean of its sampling distribution is equal to the actual value of t

zimovet [89]

I think the correct answer from the choices listed above is the third option. <span>If a statistic used to estimate a parameter is such that the mean of its sampling distribution is equal to the actual value of the parameter, then it is a biased estimator. Hope this answers the question.
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3 years ago

An urn contains 8 pink and 5 red balls. Six balls arerandomly drawn from the urn in succession, with replacement.That is, after

slega [8]

0.088

Step-by-step explanation:

The total number of balls in the urn is;

8 + 5 = 12

Because the pink balls are 8, then the probability of picking a pink ball from the urn is;

8/12

To get the probability that all 6 balls drawn from the urn are pink, we will use the AND probability rule of the mutually exclusive events which means we’ll multiply the probabilities of each of the six pink balls;

8/12 * 8/12 * 8/12 * 8/12 * 8/12 * 8/12

= 0.088

Learn More:

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6 0

3 years ago

Express secΦ in terms of tanΦ

Sunny_sXe [5.5K]

Answer:

$\sec\theta=\sqrt{1+\tan^2\theta}$

Step-by-step explanation:

The trigonometric identity is :

$\sec^2\theta-\tan^2\theta=1\\\\or\\\\\sec^2\theta=1+\tan^2\theta$

We need to express secθ in terms of tanθ.

The above equation becomes,

$\sec\theta=\sqrt{1+\tan^2\theta}$

Hence, this is the required solution.

5 0

2 years ago

(3 marks) A certain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year. The battery live

Ksenya-84 [330]

Answer:

0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 years

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A certain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year

This means that $\mu = 3, \sigma = 0.5$

What is the probability that a given battery will last between 2.3 and 3.6 years?

This is the p-value of Z when X = 3.6 subtracted by the p-value of Z when X = 2.3. So

X = 3.6

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{3.6 - 3}{0.5}$

$Z = 1.2$

$Z = 1.2$ has a p-value of 0.8849

X = 2.3

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2.3 - 3}{0.5}$

$Z = -1.4$

$Z = -1.4$ has a p-value of 0.0808

0.8849 - 0.0808 = 0.8041

0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 years

4 0

2 years ago