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2 years ago

5

Solve ln(6x-1) = -4 for x

2 answers:

Reika [66]2 years ago

5 0

Answer: Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x

=

−

1

2

Decimal Form:

x

=

−

0.5

Step-by-step explanation:

mars1129 [50]2 years ago

4 0

Answer:

answer,:d=-95

Step-by-step explanation:

6

2

−

+

4

=

0

6x^{2}-x+4=0

6x2−x+4=0

=

6

a={\color{#c92786}{6}}

a=6

=

−

1

b={\color{#e8710a}{-1}}

b=−1

=

4

c={\color{#129eaf}{4}}

c=4

=

−

(

−

1

)

±

(

−

1

)

2

−

4

⋅

6

⋅

4

√

2

⋅

6

x=\frac{-({\color{#e8710a}{-1}}) \pm \sqrt{({\color{#e8710a}{-1}})^{2}-4 \cdot {\color{#c92786}{6}} \cdot {\color{#129eaf}{4}}}}{2 \cdot {\color{#c92786}{6}}}

x=2⋅6−(−1)±(−1)2−4⋅6⋅4

4

Simplify

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Bas_tet [7]

Using the z-distribution, as we have a proportion, the 95% confidence interval is (0.2316, 0.3112).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

We also consider that 130 out of the 479 season ticket holders spent $1000 or more at the previous two home football games, hence:

$n = 479, \pi = \frac{130}{479} = 0.2714$

Hence the bounds of the interval are found as follows:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 - 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.2316$

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More can be learned about the z-distribution at brainly.com/question/25890103

7 0

2 years ago

Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units. a. How many times larger is the are

PSYCHO15rus [73]

Answer:

The answer is below

Step-by-step explanation:

a) Triangle A is attached in the image below.

The base of triangle A is 3 units and its height is 3 units. The area of a triangle is given as:

Area = (1/2) × base × height

Area of triangle A = (1/2) × base × height = (1/2) × 3 × 3 = 4.5 unit²

Area of the scaled copy = 72 unit²

Ratio of area = Area of the scaled copy / Area of triangle A = 72 unit² / 4.5 unit² = 16

Hence the scaled copy area is 16 times larger than that of triangle A.

b) For the scaled copy:

Area of the scaled copy = (1/2) × base × height = 72 unit²

base × height = 144

Since the base and height are equal

base² = 144

base = 12, also height = 12

Base of scaled copy = 12 = 4 × base of triangle A

Therefore the scale factor used is 4

7 0

3 years ago

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Nina [5.8K]

Answer:

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Step-by-step explanation:

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2 years ago

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belka [17]

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4 0

3 years ago

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Rama09 [41]

See attachment for math work and answer.

7 0

3 years ago