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3 years ago

What is the solution to log 8x = 3?

Mathematics

1 answer:

Aleks04 [339]3 years ago

8 0

answer : 3/8 or .375

8x=3

divide both sides by 8

x=3/8 or .375

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The figure shows three right triangles. Triangles PQS, QRS, and PRQ are similar. Theorem: If two triangles are similar, the corr

stepladder [879]

Answer:

C. Segment PR ⋅ segment PS = 16

Segment PR ⋅ segment SR = 81

Step-by-step explanation:

My teacher went over this question with me not even like 5 minutes ago

4 0

3 years ago

According to records, the amount of precipitation in a certain city on a November day has a mean of 0.10 inches; with a standard

Alecsey [184]

Answer:

Probability that the mean daily precipitation will be 0.09 inches or less for a random sample of 40 November days is 0.103.

Step-by-step explanation:

We are given that according to records, the amount of precipitation in a certain city on a November day has a mean of 0.10 inches; with a standard deviation of 0.05 inches.

A random sample of 40 November days is taken(taken over many years).

Let $\bar X$ = sample mean daily precipitation

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 = 0.10 inches

$\sigma$ = population standard deviation = 0.05 inches

n = sample of days = 40

Now, the probability that the mean daily precipitation will be 0.09 inches or less is given by = P( $\bar X$ $\leq$ 0.09 inches)

P( $\bar X$ $\leq$ 0.09 inches) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{0.09-0.10}{\frac{0.05}{\sqrt{40} } }$ ) = P(Z $\leq$ -1.265) = 1 - P(Z < 1.265)

= 1 - 0.8971 = 0.1029

The above probability is calculated by looking at the value of x = 1.265 from the z table which will lie between x = 1.26 and x = 1.27 which has an area of 0.89617 and 0.89796 respectively.

Hence, the probability that the mean daily precipitation will be 0.09 inches or less for a random sample of 40 November days is 0.103.

8 0

3 years ago

Find the value of the points (5,1) , (-2,-3) and (8,2m) are collinear

svp [43]

Answer:

m = 19/14 so the third point is (8, 19/7).

Step-by-step explanation:

If they are co-linear then the the slope will be equal.

The slopes of the lines are:

(difference in y coordinates) / (difference in corresponding x coordinates)

Slope between the first 2 points = (-3-1) / (-2-5) -4 / -7

= 4/7.

So if the 3 points are co-linear:

4/7 = (2m - -3) / (8 - -2)

4/7 = (2m + 3 / 10

7(2m + 3) = 40

14m + 21 = 40

14m = 19.

m = 19/14.

3 0

3 years ago

The measure of an angle is 8 times the measure of its complement. tina writes an equation and finds the correct measure of each

pogonyaev

One of the unknown angles (let's called it n) has a complement (meaning their sum adds up to 90 degrees) and the other angle is 8 times the unknown angle (8n)

With all this information, you should have the equation:

n + 8n = 90

To solve, combine like terms to get:

9n = 90

Divide by 9 on both sides to isolate the variable n.

n = 10

Now we plug back in to find our angle measurements. The first angle, n, is 10 degrees. The second angle, 8n, is 8 * 10 which is 80; the second angle is 80 degrees.

5 0

4 years ago

Area of the parallelogram?

rjkz [21]

Answer:

Step-by-step explanation:

A=bh

12.6 x 8 = 100.8m2

4 0

3 years ago