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Ludmilka [50]
2 years ago
13

Jeremy is randomly selecting ans outfit to celebrate probability day at his school.He can chose from a green or purple shirt, de

nim or khaki pants, argyle or crew socks, and boots, flip-flops or sneakers. what is the probability that Jeremy will select an outfit that includes flip-flops and argyle socks?
Mathematics
1 answer:
viva [34]2 years ago
8 0
Jeremy can choose his outfit in following ways:
2 ways to select a shirt
2 ways to select a pant
2 ways to select socks
3 ways to select the footwear.

Total number of ways to select the dress = 2 x 2 x 2 x 3 = 24 ways

Jeremy will select an outfit that includes flip-flops, argyle socks and denim pants. The shirt is not specified, so the shirt can be any.

So there are 2 ways to select a shirt, 1 way to select the pant, socks and footwear. So Jeremy can select the desired outfit in 2 ways.

Thus, the probability that Jeremy will select an outfit that includes flip-flops, argyle socks and denim pants = 2/24 = 1/12
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A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1200 hours and a standar
a_sh-v [17]

Answer:

The bulbs should be replaced each 1060.5 days.

Step-by-step explanation:

Problems of normally distributed samples are solved using 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 problem, we have that:

\mu = 1200, \sigma = 60

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?

This is the first percentile, that is, the value of X when Z has a pvalue of 0.01. So X when Z = -2.325.

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

-2.325 = \frac{X - 1200}{60}

X - 1200 = -2.325*60

X = 1060.5

The bulbs should be replaced each 1060.5 days.

4 0
2 years ago
Consider the formula P = \dfrac{ H\cdot d}{m}P=
Lilit [14]

Answer:

The productivity is measured in cubic meters per kilogram.

Step-by-step explanation:

For the formula for the productivity P of the camel

P = \dfrac{ H\cdot d}{m}

where  H is the area of the hump and is measured in square meters, d is the distance the camel can travel (measure in meters), and m is the mass of the camel (measured in kilograms kg ).

Then, the productivity of the camel is measure in

P=\dfrac{meters^2\:*meters}{kilograms}

P=\dfrac{m^3}{kg}

cubic meters per kilogram.

7 0
3 years ago
Read 2 more answers
Give a verbal description of the following absolute value function<br> f(x) = 3 | x - 5 | + 4
lisov135 [29]

Answer:

It is the distance of x from zero. Examples:The absolute value

of 5 is 5.

The absolute value of -10 is 10.

(Complex numbers) The absolute value of 4 + 3 is 5.

Step-by-step explanation:

7 0
3 years ago
1. MONDAY (5/18): Which of the following functions matches the graph to the right
Strike441 [17]

Answer:

a.) f(x) = -⅙(x+3)²+6

Step-by-step explanation:

The maximum value, our vertex, is at point (-3,6).

We can insert this value into the vertex form of a quadratic function and then solve for a as follows...

4.5 = a(0 +3)^2 +6\\4.5=a(9)+6\\-1.5 = 9a \\-.17=a\\a = -1/6

a equals -1/6... We can input this into the original equation we used...

f(x) = -1/6(x+3)^2+6

Good luck on the bellwork ;)

7 0
2 years ago
In the diagram below AB is parallel to CD what is the value of y
Mashutka [201]

Answer:

y=60 due to adjacent angle

5 0
2 years ago
Read 2 more answers
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