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il63 [147K]
3 years ago
6

What is the approximate value of x in the equation below. log 3 25 = 3x-1

Mathematics
1 answer:
Vinil7 [7]3 years ago
6 0

Answer:

8.666

Step-by-step explanation:

1. add 1 to 25 and cross it out from the other side

2. divide 26 by 3

3. equals 8.6666

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The selling price of a textbook is
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198.43. dollars is the answer

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2 years ago
If fg + gh = fh,which of the following statements must be true?
Oksanka [162]
The only safe conclusion is that point G lies on line FH or that point G lies somewhere between line FH. We cannot conclude that point G is the midpoint of line FH eventhough by virtue of definition of midpoint, the given equation is a proof equation. If G were to be midpoint, segment FG must be equal to segment GH in line FH. 
5 0
3 years ago
A​ half-century ago, the mean height of women in a particular country in their 20s was 64.7 inches. Assume that the heights of​
Ainat [17]

Answer:

99.5% of all samples of 21 of​ today's women in their 20's have mean heights of at least 65.86 ​inches.

Step-by-step explanation:

We are given that a half-century ago, the mean height of women in a particular country in their 20's was 64.7 inches. Assume that the heights of​ today's women in their 20's are approximately normally distributed with a standard deviation of 2.07 inches.

Also, a samples of 21 of​ today's women in their 20's have been taken.

<u><em /></u>

<u><em>Let </em></u>\bar X<u><em> = sample mean heights</em></u>

The z-score probability distribution for sample mean is given by;

                          Z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean height of women = 64.7 inches

            \sigma = standard deviation = 2.07 inches

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample of 21 of​ today's women in their 20's have mean heights of at least 65.86 ​inches is given by = P(\bar X \geq 65.86 inches)

  P(\bar X \geq 65.86 inches) = P( \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } \geq \frac{65.86-64.7}{\frac{2.07}{\sqrt{21} } } ) = P(Z \geq -2.57) = P(Z \leq 2.57)

                                                                        = <u>0.99492  or  99.5%</u>

<em>The above probability is calculated by looking at the value of x = 2.57 in the z table which has an area of 0.99492.</em>

<em />

Therefore, 99.5% of all samples of 21 of​ today's women in their 20's have mean heights of at least 65.86 ​inches.

3 0
3 years ago
Brenda needs to bake 12 cakes for a bake sale. Each cake requires 2 3/4 cups of flour. What is a reasonable estimate of the tota
marshall27 [118]
Brenda need ......... 24 36/48


2 3/4 + 2 3/4 + 2 3/4 + 2 3/4 + 2 3/4 + 2 3/4 + 2 3/4 + 2 3/4 +2 3/4 + 2 /34 + 2 3/4 + 2 3/4 =24 36/48
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3 years ago
Simplify X+^2+8x+7/X^2-1​
denis23 [38]

Answer:try 43

Step-by-step explanation:

3 0
3 years ago
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