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MAVERICK [17]
3 years ago
6

The right rectangular prism will be sliced perpendicular to its base along the dashed line. Select from the drop-down menus to c

orrectly describe the cross section formed by the slice. The cross section is a square with an area of A. 36, B. 48, C. 72, D. 96

Mathematics
2 answers:
steposvetlana [31]3 years ago
7 0

Answer:

The cross section is a rectangle with an area 48 cm². Option B is correct.

Step-by-step explanation:

It is given that the dashed line represents the cross section.

From the given figure it is clear that the two consecutive sides of cross section are 6 cm and 8 cm.

Length of both sides are difference, so it is a rectangle.

The area of rectangle is

A=length\times breadth

A=6\times 8

A=48

The area of the cross section is 48 cm².

Therefore option B is correct.

Hatshy [7]3 years ago
4 0
The Cross section takes the shape of the end. If it was slicing across horizantaly than it would be a rectangle. The section takes the shape of a rectangle.

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1. Which of the following relations is a function?
PIT_PIT [208]

Answer:

Step-by-step explanation:

first one

5 0
4 years ago
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure.
ZanzabumX [31]

Answer:

a) 22.94 psi

b) 5.93\times10^{-5}

Step-by-step explanation:

a)The pressure at which will trigger a warning is

31 - 31*0.26 = 22.94 psi

b) The probability that that the TPMS will trigger warning at 22.94 psi, given that tire pressure has a normal distribution with average of 31 psi and standard deviation of 2 psi

f(x)={\frac {1}{\sigma {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {x-\mu }{\sigma }}\right)^{2}}

where x = 22.94, \mu = 31, \sigma = 2

f(22.94)={\frac {1}{2 {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {22.94-31}{2 }}\right)^{2}}

f(22.94)=0.2e^{-8.12} = 5.93\times10^{-5}

6 0
4 years ago
A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 ea
kap26 [50]

Answer:

Expected value for 4 tickets = $ -7.6

Step-by-step explanation:

Given - A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each.

To find - Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.

Proof -

Given that,

A lottery offers

one $ 900 prize

one $ 600 prize

three $ 400 prizes

Four $ 100 prizes

And

One thousand tickets are sold at $ 5 each

Now,

If the person bought 1000 tickets then the prize he gets is

= 900 + 600 + 3×400 + 4×100

= 900 + 600 + 1200 + 400

= $3100

And

The cost of 1000 tickets = 5×1000 = $ 5000

Now,

Price 1 ticket = \frac{3100}{1000} = $ 3.1

⇒Expectation of 1 ticket = $ 3.1 - 5 = $ -1.9      (Here $5 is price of 1 ticket)

⇒Expected value for 4 tickets = $ 4× -1.9 = $ -7.6

⇒Expected value for 4 tickets = $ -7.6

3 0
3 years ago
Find the 15th term of the geometric sequence 2, 6, 18,...
kenny6666 [7]

Answer:

<h3>           a₁₅ = 9 565 938</h3>

Step-by-step explanation:

6÷2 = 3  and   18÷6 = 3  so:  q = 3

a_n=a_1\cdot q^{n-1}\\\\a_1=2\\q=3\\n=15\\\\a_{15}=2\cdot3^{15-1}\\\\a_{15}=2\cdot3^{14}\\\\a_{15}=9\,565\,938

7 0
3 years ago
PLEASE HELP ME !!!James had a large bag of raisins and he ate 3/4 of it over the weekend. On Monday, he decided to share the rem
Bumek [7]
The ans is 1/12 while share with 3
3 0
3 years ago
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