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Mathematics

1 answer:

garri49 [273]3 years ago

3 0

Answer:

25.

Step-by-step explanation:

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What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2

Dimas [21]

Find how many numbers are divisible by two and three, then place that number above the total number of items in the set as a fraction. Like this:
$\frac{Total-numbers -divisible-by-2-and-3}{Total-numbers-in-set}$

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3 years ago

The figure shows a gas tank in the form of a rectangular prism that is 40% full. How many more gallons of gas will it take to fi

Ira Lisetskai [31]

Answer:

10.8 gallons

Step-by-step explanation:

First change everything to inches:

2.75 ft = 33 in

1.5 ft = 18 in

Volume of tank = lwh = (33)(18)(7) = 4158 in³

The tank is 40% full, so only 60% is need to fill it. To find 60%, multiply 4158 by 0.6 = 2494.8 in³

Now find out how much 2494.8 in³ is in gallons:

231 in³ = 1 gallon

1 in³ = 1/231 gallons

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7 0

3 years ago

The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. Th

e-lub [12.9K]

Answer:

95% of monthly food expenditures are between $110 and $190.

Step-by-step explanation:

Given : The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20.

To find : Using the Empirical rule, about 95% of the monthly food expenditures are between which of the following two amounts?

Solution :

At 95% of the data is between two standard deviation to left and right of the mean is given by,

To the left side, $\bar{x}-2\sigma$