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3 years ago

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 -20.

Step-by-step explanation:

Given :

>> If for an A.P, d = -4

To Find :

>> T₂₀ - T₁₅

Using Formula :

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

Solution :

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) A.1/294 B.1/6 C.6 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