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3 years ago

13

Q and R are independent events. if P(Q)= 1/4 and P (R)= 1/5, find P(Q and R)

1 answer:

Setler79 [48]3 years ago

3 0

Answer:

1/4 * 1/5 = 1/20

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What does the 80 inches represent in an 80" TV

solong [7]

It represents the distance diagonally between two opposite corners of a Television. (i.e. the distance between the bottom-left corner and the top-right corner)

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3 years ago

A new car battery is sold with a two-year warranty whereby the owner gets the battery replaced free of cost if it breaks down du

Mariana [72]

Answer:

4.01% probability that the battery will break down during the warranty period

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 45, \sigma = 12$

a. What is the probability that the battery will break down during the warranty period

Warranty of 2 years = 24 months. So this is the pvalue of Z when X = 24.

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

$Z = \frac{24 - 45}{12}$

$Z = -1.75$

$Z = -1.75$ has a pvalue of 0.0401

4.01% probability that the battery will break down during the warranty period

7 0

3 years ago

Find the area of the following triangle. Show your<br>work!

11111nata11111 [884]

Answer:

man/woman show the triangle

7 0

3 years ago

Read 2 more answers

The function M(s) = 225 + 0.65s represents the material cost of manufacturing gardening scissors when s scissors are produced. T

Llana [10]

Answer:

$\frac{279 + 1.8s}{s}$

Step-by-step explanation:

The material cost of manufacturing gardening scissors when s scissors are produced : $M(s) = 225 + 0.65s$

The labor cost for producing s scissors: $L(s) = 54 + 1.15s$

So, total cost of producing s scissors = $M(s)+L(s)$

= $225 + 0.65s+54 + 1.15s$

= $279 + 1.8s$

So, total cost for s scissors = $279 + 1.8s$

So, manufacturing cost for 1 scissor= $\frac{279 + 1.8s}{s}$

Hence the manufacturing cost per scissors is $\frac{279 + 1.8s}{s}$

3 0

3 years ago

the diameter of a pearl is about 4×10-¹⁴ cm and the diameter of an atom is about 10-¹¹ m. how much larger than an atom is a pear

serious [3.7K]

Answer:

The diameter of an atom is 25000 times the diameter of a pearl.

Step-by-step explanation:

Given that,

The diameter of a pearl is $4\times 10^{-14}\ cm$

The diameter of an atom is $10^{-11}\ m=10^{-9}\ m$

Taking the ratio,

$\dfrac{\text{diameter of an atom}}{\text{diameter of a pearl}}=\dfrac{10^{-9}\ m}{4\times 10^{-14}\ m}\\\\=25000$

So, the diameter of an atom is 25000 times the diameter of a pearl.

5 0

3 years ago