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Papessa [141]
3 years ago
13

What is 2(4z-1)=3(z+2)

Mathematics
2 answers:
Nonamiya [84]3 years ago
8 0

Step-by-step explanation:

2(4z-1)= 3(z+2)

Expand the brackets

2×4z = 8z

2×-1 = -2

8z-2

3×z = 3z

3×2= 6

3z+6

8z-2=3z+6

+2

8z = 3z+8

-3z

5z = 8

÷5

z = 0.625

hope i was useful :)

Inessa05 [86]3 years ago
4 0

have a nice day

the picture attachment is the answer

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Tom has some marbles in two bags. In one bag he has 3 yellow, 2 green and 1 red marble. In the other bag he has 3 yellow, 3 gree
shutvik [7]

Answer:

1 / 3

Step-by-step explanation:

Bag 1 :

Yellow = 3

Green = 2

Red = 1

Total = 3 + 2 +1 = 6

Bag 2 :

Yellow = 3

Green = 3

Red = 3

Total = 3 + 3 + 3 = 9

P(not yellow from bag 1) = (green + red) / total = 3 /6 = 1/2

P(not yellow from bag 2) = (green + red) / total = 6/9 = 2 /3

P(neither is yellow) = 1/2 * 2/3 = 2 / 6 = 1/3

4 0
3 years ago
In a multiple regression equation, two independent variables are considered, and the sample size is 30. The regression coefficie
MAXImum [283]

Answer:

Both the variables are important for the regression analysis and cannot be deleted.

Step-by-step explanation:

(1)

The hypothesis for for the testing of coefficient β₁ are:

<em>H</em>₀: β₁ = 0 vs. <em>H</em>ₐ: β₁ ≠ 0

The test statistic is:

t=\frac{b_{1}}{S_{b_{1}}} =\frac{2.815}{0.75}= 3.753

It is provided that H₀ is rejected if <em>t</em> > 2.042.

The test statistic value, <em>t</em> = 3.753 > 2.042.

Thus, the null hypothesis is rejected.

<u>Conclusion:</u>

There is a significant relationship between the regression variable and the dependent variable.

(2)

The hypothesis for for the testing of coefficient β₂ are:

<em>H</em>₀: β₂ = 0 vs. <em>H</em>ₐ: β₂ ≠ 0

The test statistic is:

t=\frac{b_{2}}{S_{b_{2}}} =\frac{-1.249}{0.41}= -3.046

It is provided that H₀ is rejected if <em>t</em> < -2.042.

The test statistic value, <em>t</em> = -3.046 < -2.042.

Thus, the null hypothesis is rejected.

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There is a significant relationship between the regression variable and the dependent variable.

Thus, both the variables are important for the regression analysis and cannot be deleted.

7 0
3 years ago
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kicyunya [14]

Answer:

25

Step-by-step explanation:

(2x+2)+(3+5x)= 180 ( straight angle )

2x+5x+2+5 =180

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I hope that was helpful

5 0
3 years ago
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hoa [83]

Answer:

the clinic needs 20 more bottles of vitamins to have a supply of 400 vitamins.

Step-by-step explanation:

400 divided by 20 = 20.

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3 years ago
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