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RideAnS [48]
3 years ago
13

Complete the following. Show all work for calculations.

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
4 0

Step-by-step explanation:

Work:

V = 2m^3

2m^3 = (w)*(2w)*(h)

Possible dimensions:

length width height surface area

2 1 1 8 units^2

1 1/2 4 12.5 units^2

1/2 1/4 16 24 1/8 units^2

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According to a 2016 survey, 6 percent of workers arrive to work between 6:45 A.M. and 7:00 A.M. Suppose 300 workers will be sele
Yuliya22 [10]

Answer:

Closest standard deviation of W = 4.11

Step-by-step explanation:

Randomly selected workers = n =300

Probability of workers arriving between 6:45 to 7:00 A.M = p = 6% = 0.06

According to binomial distribution:

mean = μ = n.p

                = 300(0.06) = 18

variance = σ² = n.p(1-p)

                      = (300)(0.06)(1-0.06)

                      = (18)(0.94)

                      = 16.92

standard deviation = σ = 4.11

6 0
3 years ago
Here's the question. ​
OleMash [197]

Answer:

The value of T₂₀ - T₁₅ is <u>-20</u>.

Step-by-step explanation:

<u>Given</u> :

  • >> If for an A.P, d = -4

<u>To</u><u> </u><u>Find</u> :

  • >> T₂₀ - T₁₅

<u>Using Formula</u> :

General term of an A.P.

\star{\small{\underline{\boxed{\sf{\red{ T_n = a  + (n - 1)d}}}}}}

  • >> Tₙ = nᵗʰ term
  • >> a = first term
  • >> n = no. of terms
  • >> d = common difference

<u>Solution</u> :

Firstly finding the A.P of T₂₀ by substituting the values in the formula :

{\dashrightarrow{\pmb{\sf{ T_n = a  + (n - 1)d}}}}

{\dashrightarrow{\sf{ T_{20} = a  + (20 - 1) d}}}

{\dashrightarrow{\sf{ T_{20} = a  + (19)d}}}

{\dashrightarrow{\sf{ T_{20} = a  + 19  \times d}}}

{\dashrightarrow{\sf{ T_{20} = a  + 19d}}}

{\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a  + 19d}}}}}}

Hence, the value of T₂₀ is a + 19d.

\rule{190}1

Secondly, finding the A.P of T₁₅ by substituting the values in the formula :

{\dashrightarrow{\pmb{\sf{ T_n = a  + (n - 1)d}}}}

{\dashrightarrow{\sf{ T_{15}= a  + (15 - 1) d}}}

{\dashrightarrow{\sf{ T_{15}= a  + (14) d}}}

{\dashrightarrow{\sf{ T_{15}= a  + 14 \times d}}}

{\dashrightarrow{\sf{ T_{15}= a  + 14d}}}

{\star{\underline{\boxed{\sf \pink{ T_{15}= a  + 14d}}}}}

Hence, the value of T₁₅ is a + 14d

\rule{190}1

Now, finding the difference between T₂₀ - T₁₅ :

{\dashrightarrow{\pmb{\sf{T_{20} -  T_{15}}}}}

{\dashrightarrow{\sf{(a + 19d) -  (a + 14d)}}}

{\dashrightarrow{\sf{a + 19d -  a  -  14d}}}

{\dashrightarrow{\sf{a - a + 19d -  14d}}}

{\dashrightarrow{\sf{0+ 19d -  14d}}}

{\dashrightarrow{\sf{19d -  14d}}}

{\dashrightarrow{\sf{5 \times  - 4}}}

{\dashrightarrow{\sf{ - 20}}}

{\star \: \underline{\boxed{\sf{\pink{T_{20} -  T_{15} =  - 20}}}}}

Hence, the value of T₂₀ - T₁₅ is -20.

\underline{\rule{220pt}{3.5pt}}

3 0
2 years ago
The formula for the area of a triangle is a =1/2bh in which b represents the length of the base Andy represents the height. If a
aleksandrvk [35]
A=1/2bh
Data:
a=192 mm²
h=12 mm


therefore:
192 mm²=1/2(b)(12 mm)
192 mm²=6b mm
b=192 mm²/6 mm
b=32 mm

Answer: the measure of the base is 32 mm
4 0
3 years ago
Read 2 more answers
I need to submit this soon help plz, sorry for asking a lot, I'm not that good at math
garik1379 [7]

Answer:

1.4000

2.5.551

3.6.8

4.10.00

5.4

Step-by-step explanation:

1 4066 as an example start from the end a 5 or more it turns to a zero and the one next to it

so in this case we now have 4100 but since it isn't 5 or more we make it a zero and move on so now we have 4000

sorry if I am wrong I am also an idiot so hopefully this helps for the future :)

5 0
3 years ago
What's the value of 42÷1/7? (show work)<br>A.1/294<br>B.1/6<br>C.6<br>D.294
Arisa [49]
42/1/7 u would do the reciprocal for 1/7 so then it would 42•7/1 and then u would get 294
8 0
3 years ago
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