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2 years ago

A rectangular prism has a length of 714 inches, a width of 612 inches, and a height of 10 inches.

Mathematics

1 answer:

den301095 [7]2 years ago

8 0

Answer:

8 times

Step-by-step explanation:

<u>The volume of the prism:</u>

V = lwh

<u>If each of the dimensions is doubled, then the volume becomes:</u>

V₁ = 2l*2w*2h = 8lwh = 8V

The larger prism has 8 times greater volume

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A coin is to be tossed as many times as necessary to turn up one head. Thus the elements c of the sample space C are H, TH, TTH,

slavikrds [6]

Answer:

Step-by-step explanation:

As stated in the question, the probability to toss a coin and turn up heads in the first try is $\frac{1}{2}$ , in the second is $\frac{1}{4}$ , in the third is $\frac{1}{8}$ and so on. Then, P(C) is given by the next sum:

$P(C)=\sum^{\infty}_{n=1}(\frac{1}{2} )^{n}=1$

This is a geometric series with factor $\frac{1}{2}$ . Then is convergent to $\frac{1}{1-\frac{1}{2}}-1=1.$ . With this we have proved that P(C)=1.

Now, observe that

$P(H)=\frac{1}{2}, P(TH)=\frac{1}{4},P(TTH)=\frac{1}{8},P(TTTH)=\frac{1}{16},P(TTTTH)=\frac{1}{32},P(TTTTTH)=\frac{1}{64}.$

Then

$P(C1)=P(H)+P(TH)+P(TTH)+P(TTTH)+P(TTTTH)=\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +\frac{1}{32} =\frac{31}{32}$

$P(C2)=P(TTTTH)+P(TTTTTH)=\frac{1}{32}+\frac{1}{64} =\frac{3}{64}$

$P(C1\cap C2)=P(TTTTH)=\frac{1}{32}$

and

$P(C1\cup C2)=P(H)+P(TH)+P(TTH)+P(TTTH)+P(TTTTH)+P(TTTTTH)=\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +\frac{1}{32} +\frac{1}{64}=\frac{63}{64}$

5 0

2 years ago

Can someone help me with this so I don't get in trouble??

timofeeve [1]

Try to use photo math it should give u step by step

5 0

2 years ago

citrus weekly wages are $20 less than twice what Mary earns in one week in citra makes $120 a week write and solve an equation t

kifflom [539]

Answer:

X= Mary’s wages

2x-20=120

Add 20 to both sides

2x=140

Divide both sides by 2

X=70

$70

Step-by-step explanation:

4 0

3 years ago

a grocer stacks apples in a pyramid-like stack whose rectangular base is 7 apples by 5 apples. each apple above the first level

g100num [7]

The arrangement of the apples in the stack is in a sequence that can be

used to find the number of apples in each row and in the stack.

Correct response:

The number of apples in the stack are <u>85 apples</u>

<h3>How to find the sum of a sequence</h3>

The given parameters are;

Dimensions of apples in the rectangular base = 7 apples by 5 apples

Number of apples on which each apple above rests = 4 apples

Required:

The number of apples in the stack.

Solution:

The dimensions, length and width of the apples in each row decreases

by 1 compared to the row on which the apple rests, as follows;

In the base, the dimension = 7 by 5

In the row directly above, the dimension = (7 - 1) by (5 - 1)

The number of apples sequence continues and is completed by a singles row of apples at the top, from which gives;

Number of apples in the stack = 7 × 5 + 6 × 4 + 5 × 3 + 4 × 2 + 3 × 1 = 85

The number of apples in the tack = <u>85 apples</u>

Learn more about sequence and series here:

brainly.com/question/13043887

4 0

2 years ago

88511, 16351, ?, 10251 missing number in sequence

Mrac [35]

Step-by-step explanation:

this is really complicated and tricky.

to create the next number, you have to add the first 2 digits of the previous number, then subtract the 3rd from the 2nd digit, multiply the 3rd and the 4th digit, and finally divide the 4th digit by the 5th.

so,

8+8 = 16

8-5 = 3

5×1 = 5

1/1 = 1

giving 16351 as next number.

the missing number we get then

1+6 = 7

6-3 = 3

3×5 = 15

5/1 = 5

giving 73155 as the next (missing) number.

control :

7+3 = 10

3-1 = 2

1×5 = 5

5/5 = 1

gives us 10251 as next number - correct.

but then it will end

1+0 = 1

0-2 = -2 ???? take the absolute value ?

2×5 = 10

5/1 = 5

8 0

1 year ago