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Zina [86]
3 years ago
6

Please can you answer this ASAP

Mathematics
2 answers:
earnstyle [38]3 years ago
8 0
Answer X-2 hope this helped
Misha Larkins [42]3 years ago
5 0

Answer:

x = 2

Step-by-step explanation:

\rm Solve \:  for \:  x: \\  \rm  \longrightarrow 4 (3 x - 1) = 20 \\  \\  \rm Divide  \: both  \: sides \:  of  \: 4 (3 x - 1) = 20  \: by  \: 4: \\  \rm  \longrightarrow  \dfrac{4(3x - 1)}{4}  =  \dfrac{20}{4}  \\  \\  \rm \dfrac{4}{4}  = 1: \\  \rm  \longrightarrow 3 x - 1 =  \dfrac{20}{4}  \\  \\  \rm \dfrac{20}{4} = 5: \\  \rm  \longrightarrow 3 x - 1 = 5 \\  \\  \rm Add \:  1  \: to  \: both  \: sides: \\  \rm  \longrightarrow 3 x + (1 - 1) = 1 + 5 \\  \\  \rm 1 - 1 = 0: \\  \rm  \longrightarrow 3 x = 5 + 1 \\  \\  \rm 5 + 1 = 6: \\  \rm  \longrightarrow 3 x = 6 \\  \\  \rm Divide \:  both  \: sides \:  of  \: 3 x = 6 \:  by \:  3: \\  \rm  \longrightarrow  \dfrac{3x}{3}  =  \dfrac{6}{3}  \\  \\  \rm \dfrac{3}{3}  = 1: \\  \rm  \longrightarrow x =  \dfrac{6}{3}  \\  \\  \rm \dfrac{6}{3}  = 2 : \\  \rm  \longrightarrow  x = 2

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Help!! (You will get 100 points! & Brainliest if you are correct)
Dafna1 [17]

Answer: The first number that appears in both sequences is 28.

Step-by-step explanation:

Let's write down numbers from each of the sequences

Sequence 1) We need to start from 7 and multiply 4

7x4=28, 28x4=112

The sequence is 7,28,112...

Sequence 2) We need to start from 8 and add 5

5+8=13, 13+5=18, 18+5=23, 23+5=28

The sequence is 8,13,18,23,28...

They both have 28

5 0
3 years ago
Read 2 more answers
The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a norma
kotegsom [21]

Answer:

Test statistic = 3.1587

Step-by-step explanation:

We are given that the Toy-lot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A).

Also, a sample of eleven motors was tested, and it was found that the mean current was x = 1.20 A, with a sample standard deviation of s = 0.42 A.

So, Null Hypothesis, H_0 : \mu = 0.8 { claim of 0.8 A is not low}

Alternate Hypothesis, H_1 : \mu > 0.8 { claim of 0.8 A is too low}

Now, the test statistics used here will be;

           T.S. = \frac{Xbar - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, X bar = sample mean = 1.20 A

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                 n = sample size = 11 motors

So, Test statistics = \frac{1.20 - 0.8}{\frac{0.42}{\sqrt{11} } } ~ t_1_0

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At 1% level of significance, t table gives a critical value of 2.764 at 10 degree of freedom. Since our test statistics is higher than the critical value so we have sufficient evidence to reject null hypothesis .

Therefore, we conclude that Toy-lot claim of 0.8 A is too low.

8 0
4 years ago
Suppose you are offered just one slice from a round pizza (in other words, a sector of a circle). The slice must have a perimete
schepotkina [342]
The answer is diameter: 32 in, area: 64 in²

The perimeter of a sector of a circle is:
P = 2r + l
l = r<span>θ
P = 2r + r</span>θ<span>

P = 32 in
32 = 2r + r</span><span>θ
</span>32 - 2r = r<span>θ
</span>θ = (32 - 2r)/r
θ = (2*16 - 2*r)/r
θ = 2(16 - r)/r<span>

Area of the sector of the circle is:
A = r</span>²/2 * θ
A = r²/2 * 2(16 - r)/r
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For the maximum area:
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A' = 0
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r = 8 in

The diameter (D) of the circle is twice of the radius:
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A = 64 in²
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