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Ahat [919]
3 years ago
6

HELP Please!!!

Mathematics
2 answers:
daser333 [38]3 years ago
8 0

Answer:

1. false

2. false

3. true

Step-by-step explanation:

1. If the value of a was negative, then the graph of the quadratic would open downwards because the negative sign would induce a reflection of the graph over the x-axis.

However, we can see from the graph that the quadratic opens up, so a is not negative and this statement is false.

2. The vertex of a quadratic equation is the minimum or maximum point. Here, since the graph points up, the vertex will be the minimum point. That point is actually (3, -1). Clearly, this is not (-1, 3), so the statement is false.

3. The axis of symmetry is essentially the line with the x-value of the vertex. Since the x-coordinate of the vertex is 3, that means the axis of symmetry is the line x = 3. Thus, the statement is true.

scoray [572]3 years ago
4 0

Answer:

False

False

True

Step-by-step explanation:

Since it's a concave up, a > 0

Vertex: (3,-1)

Symmetry: x = 3

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Yuliya22 [10]

Answer:

The confidence interval for the population variance of the thicknesses of all aluminum sheets in this factory is Lower limit = 2.30, Upper limit = 4.83.

Step-by-step explanation:

The confidence interval for population variance is given as below:

[(n - 1)\times S^{2}  /  X^{2}  \alpha/2, n-1 ] < \alpha < [(n- 1)\times S^{2}  / X^{2} 1- \alpha/2, n- 1 ]

We are given

Confidence level = 98%

Sample size = n = 81

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Sample Variance = S^2 = 3.23

X^{2}_{[\alpha/2, n - 1]}   = 112.3288\\\X^{2} _{1 -\alpha/2,n- 1} = 53.5401

(By using chi-square table)

[(n – 1)*S^2 / X^2 α/2, n– 1 ] < σ^2 < [(n – 1)*S^2 / X^2 1 -α/2, n– 1 ]

[(81 – 1)* 3.23 / 112.3288] < σ^2 < [(81 – 1)* 3.23/ 53.5401]

2.3004 < σ^2 < 4.8263

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8 0
2 years ago
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Dafna11 [192]

Answer:

0 ways...

Step-by-step explanation:

First find one pair.

x and x + 1

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2x = 99

x = 49.5

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3 years ago
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how are you today  

Step-by-step explanation:

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Answer:

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For example, if she uses two gallons, there will be 12 gal left in the tank; g=12

d = 30(14 - 12)

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