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2 years ago

Which statement about the potential solutions to 2log x − log3 = log3 is true?

Mathematics

2 answers:

Fudgin [204]2 years ago

8 0

<span>Only –3 is an extraneous solution.

</span>

OLEGan [10]2 years ago

8 0

Answer:

x=3 is an extraneous solution

Step-by-step explanation:

Given is a statement as

2logx -log3 = log 3

Add log 3 to both the sides

We get

2log x = 2 log 3

log x = log x

Hence x =3

Answer is x=3

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Find the value of x in the triangle shown below.

kobusy [5.1K]

Answer:

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Step-by-step explanation:

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1 year ago

A two-factor study with two levels of factor A and three levels of factor B uses a separate group of n = 5 participants in each

Mashcka [7]

Answer: There are 30 participants are needed for the entire study.

Step-by-step explanation:

Since we have given that

Number of levels of factor A = 2

Number of levels of factor B = 3

Number of participants in each treatment condition = 5

So, the number of participants are needed for the entire study is given by

$2\times 3\times 5\\\\=6\times 5\\\\=30$

Hence, there are 30 participants are needed for the entire study.

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2 years ago

Aboard is 4 ft 8 in long how long is the board in meters

andreev551 [17]

If a board is 4ft 8 in long than it is 1.4224 meters long

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2 years ago

A random sample of 400 voters in a certain city are asked if they favor an additional 4% gasoline tax to provide badly needed re

Norma-Jean [14]

Answer:

A) α = 0.04136

B) β = 0.00256

Step-by-step explanation:

We are given;

Sample size; n = 400

Proportion; p = 60% = 0.6

Formula for mean is;

μ = np

μ = 400 × 0.6 = 240

Standard deviation is given by;

σ = √npq

Where q = 1 - p = 1 - 0.6 = 0.4

σ = √(400 × 0.6 × 0.4)

σ = √96

σ = 9.8

A) our null hypothesis is at p = 0.6

Probability of making a type I error means we reject the null hypothesis when it is true.

This can be expressed in reference to the question as;

α = P(x < 220) + P(x > 260) all at p = 0.6

Now,

P(x < 220) = z = (x¯ - μ)/σ = (220 - 240)/9.8 = -2.04

Also;

P(x > 260) = z = (260 - 240)/9.8 = 2.04

Now, from z-distribution table probability of a z-score of -2.04 is 0.02068.

Also, probability of z-score of 2.04 is (1 - P(z < 2.04) = 1 - 0.97932 = 0.02068

Thus;

α = 0.02068 + 0.02068

α = 0.04136

B) Type II error occurs when we fail to reject the null hypothesis even though it's false.

In this case our alternative hypothesis is at p = 48% = 0.48

Thus;

μ = np

μ = 400 × 0.48 = 192

Standard deviation is given by;

σ = √npq

Where q = 1 - p = 1 - 0.48 = 0.52

σ = √(400 × 0.48 × 0.52)

σ = √99.84

σ = 9.992

Type II error would be given by;

β = [((x1¯ - μ)/σ) < z > ((x2¯ - μ)/σ)]

β = [((220 - 192)/9.992) < z > ((260 - 192)/9.992)]

β = (2.8 < z > 6.81)

Rearranging this gives us;

β = P(z < 6.81) - P(z < 2.8)

From z-distribution tables, we have;

β = 1 - 0.99744

β = 0.00256

3 0

2 years ago

(WILL GIVE BRAINLIEST)

Alika [10]

Functions can be represented using equations and graphs Both f(x) and g(x) include domain values of [4, ∞) and range values of [0, ∞), and both functions have a y-intercept in common.

<h3>How to determine the key features?</h3>

The domain of the function is defined as the set of the numbers we are allowed to put in the function while the range is the assumed data put in the function.

The functions are given as:

$F(x)=e^{-x}\\\\\\g(x)=-\sqrt{x-4}$

Using a graphing calculator:

The domain of g(x) is [4, ∞)

The range of g(x) is [0, ∞)

The domain of f(x) is (–∞, ∞),

The range of f(x) is [0, ∞)

Both functions have positive values for their domains

By comparing the above highlights, the true statement between functions g(x) and f(x) is option 3

Read more about function domain and range at:

brainly.com/question/10197594

#SPJ1

8 0

2 years ago