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Vesna [10]
3 years ago
11

There is a 90% chance of rain tomorrow and a 30% chance that the baseball game will be postponed. what is the probability that i

t will rain tomorrow and the baseball game will be postponed? 3% 6% 27% 60%
Mathematics
2 answers:
netineya [11]3 years ago
6 0

27%!

I hope this helps! ^^

Juli2301 [7.4K]3 years ago
4 0
It would be a 27% chance

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lakkis [162]
2a+b4.....................
8 0
3 years ago
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2885 and standard deviation
aliina [53]

Answer:

a.  X~N(2,885, 651)

b.  0.086291

c.  0.00058

d.  3213.10 calories

Step-by-step explanation:

a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

-Let X a random variable denoting  the number of calories consumed.

-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.

-This distribution is expressed as X~N(2,885, 651)

b. The probability that less than 2000 calories are consumed is calculated using the formula:

P(X

#substitute the given values in the formula to solve for P:

P(X

Hence, the probability of consuming less than 2000 calories is 0.08691

c. The proportion of customers consuming more than 5000 calories is calculated as:

P(X>x)=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(Z>\frac{5000-2885}{651})\\\\=P(z>3.2488)\\\\=1-0.99942\\\\=0.00058

Hence, the proportion of customers consuming over  5000 calories is 0.00058

d. The least amount of calories to get the award is calculated as:

1% is equivalent to a z value of 0.50399.

-We equate this to the formula to solve for the mean consumption:

0.01=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(z>\frac{\bar X-2885}{651})\\\\\1\%=0.50399 \\\\\frac{\bar X-2885}{651}=0.50399 \\\\\bar X=0.50399\times 651+2885\\\\=3213.09

Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.

8 0
3 years ago
Andy and Christopher are measuring a liquid solution using graduated cylinders, Andy uses 3.5 liters of the liquid solution, and
Gre4nikov [31]

Answer:

Ratio = 0.74

Step-by-step explanation:

Represent

- Andy with A

- Christopher with C

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C = 2580mL

Required

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Ratio is represented as thus:

Ratio = C:A

Rewrite as fraction

Ratio = \frac{C}{A}

This gives

Ratio = \frac{2580mL}{3.5L}

Convert L to mL

Ratio = \frac{2580mL}{3.5*1000mL}

Ratio = \frac{2580mL}{3500mL}

Ratio = \frac{2580}{3500}

Ratio = 0.73714285714

Ratio = 0.74 --- Approximated

6 0
3 years ago
Find an equation of the line perpendicular to the graph of 15x-5y=7 that passes through the point at (0,-4)
shusha [124]
Perpendicular lines have slopes that multiply to -1
get into y=mx+b form
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so the slope is -1/3


so
y=-1/3x+b
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x=0 and y=-4
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-4=b

y=(-1/3)x-4 is da equation
4 0
3 years ago
Read 2 more answers
harrison is playing a board game that has a path of 100 space. after his first turn,he is 1/5 of the way along the spaces. on hi
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On his first turn he moves one fifth of one hundred what is equal to twenty on second turn he moves twenty less one fourth of twenty what is equal to fifteen. In last time he moves eleven fourths of twenty what is equal to fifty five. Then  3rd turn he has moved ninety  spaces

i hope this helps :)
3 0
3 years ago
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