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mart [117]
3 years ago
9

What is the volume of the rectangular solid below?

Mathematics
2 answers:
jek_recluse [69]3 years ago
6 0

Answer:

16 cubic units

Step-by-step explanation:

Semmy [17]3 years ago
5 0

Answer:

16

Step-by-step explanation:

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Light bulbs manufactured at a certain factory have a 3% probability of being defective. What is the probability that 5 out of a
Eddi Din [679]
There is a 3% chance of each light bulb being defective, and we only want 5 of them to be defective. The chance is then:

3\%^5*97\%^{25}

Or this really small number: 1.13474853e-8
5 0
3 years ago
If sum of first 6 digits of AP is 36 and that of the first 16 terms is 255,then find the sum of first ten terms.
Cloud [144]

Answer:

100

Step-by-step explanation:

We have the sum of first n terms of an AP,

Sn = n/2 [2a+(n−1)d]

Given,

36= 6/2 [2a+(6−1)d]

12=2a+5d ---------(1)

256= 16/2 [2a+(16−1)d]

32=2a+15d ---------(2)

Subtracting, (1) from (2)

32−12=2a+15d−(2a+5d)

20=10d ⟹d=2

Substituting for d in (1),

12=2a+5(2)=2(a+5)

6=a+5 ⟹a=1

∴ The sum of first 10 terms of an AP,

S10 = 10/2 [2(1)+(10−1)2]

S10 =5[2+18]

S10 =100

This is the sum of the first 10 terms.

Hope it will help.

4 0
3 years ago
Read 2 more answers
Can anyone explain these?
Paul [167]
The perimeter , width and length are all one dimensional so the preimeter of the resulting rectangle  will be 2.5 * 36 = 90.

The area  is 2 dimensional  whereas the vase and height are one dimensional so the area will be increased by a factor of 5^2  ( or 25)
New  rea =  36*25 =  900

solids are 3 dimensional  so the ratio of thereir volumes is  5^3 : 3^3
= 125:27

to answer the last 2 use the formula Volume = pi r^2 h  where r = radius and h = height of a cylinder
5 0
3 years ago
If the percentage of LDS missionaries that are female went up from 15% in 2009 to 24% in 2014, find the relative percentage incr
SSSSS [86.1K]
2014 - 2009 = 5 years
24% -15% = 9% percentage of SUG missionaries
who are women has risen in 5 years

9% : 5 years = 1.8% in a year is <span>the relative percentage increase</span>





4 0
3 years ago
Nathan just bought a car. He models the value, V, in dollars, of the car after t years as V(t)=21,000(0.861)^t. Based on this mo
Snezhnost [94]

Answer:

Value of the car is decreasing by 13.9% each year.

Step-by-step explanation:

This equation tells us V(t) is the value of the car after a certain time in years, $21,000 is the initial value of the car.  What we need to focus on is on the 0.861 part of this equation.  This means that the price of the car is worth 0.861 or 86.1% of what it was worth the year prior, this means that the price of the car is decreasing over time.  By how much is it decreasing? Well if we consider 1 to mean 100% (since 100 / 100 =1) then we have 100%-86.1%=13.9%.  This means that the value of the car is decreasing 13.9% each year.

6 0
3 years ago
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