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3 years ago

Prove that x=2 if 4^x=8x...where ^ stands for "to the power of".

1 answer:

4 0

In order to prove this, you simply plug in the number 2 everywhere you see X:

4^(2) = 8(2).

Simplify

16 = 16 √

Since this checks out, x is proven to be 2.

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A company manufactures televisions. The average weight of the televisions is 5 pounds with a standard deviation of 0.1 pound. As

Semenov [28]

Answer:

$0.2564\text{ pounds}$

Step-by-step explanation:

The 90th percentile of a normally distributed curve occurs at 1.282 standard deviations. Similarly, the 10th percentile of a normally distributed curve occurs at -1.282 standard deviations.

To find the $X$ percentile for the television weights, use the formula:

$X=\mu +k\sigma$ , where $\mu$ is the average of the set, $k$ is some constant relevant to the percentile you're finding, and $\sigma$ is one standard deviation.

As I mentioned previously, 90th percentile occurs at 1.282 standard deviations. The average of the set and one standard deviation is already given. Substitute $\mu=5$ , $k=1.282$ , and $\sigma=0.1$ :

$X=5+(1.282)(0.1)=5.1282$

Therefore, the 90th percentile weight is 5.1282 pounds.

Repeat the process for calculating the 10th percentile weight:

$X=5+(-1.282)(0.1)=4.8718$

The difference between these two weights is $5.1282-4.8718=\boxed{0.2564\text{ pounds}}$ .

8 0

3 years ago

Read 2 more answers

Isabella buys a computer that is on sale for 30% off the original price. The original price is $216 more than the sale price.

kakasveta [241]

Answer:

$720$

Step-by-step explanation:

Set the problem up as a proportion

$\frac{216}{x}= \frac{30}{100}$

cross multiply

$21600=30x$

divide both sides by 30

$720=x$

plz mark me brainliest. :)

7 0

3 years ago

What’s the slope ofY=3x+4

Bogdan [553]

Answer:

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Step-by-step explanation:

Step 1: Define

y = 3x + 4

Step 2: Break Function

Identify Parts

Slope m = 3

y-intercept b = 4

6 0

3 years ago

What is the value of the expression shown below?

stiv31 [10]

6 +(9 -1)²/4×(1/2)⁴
= 6 +8²/4×(1/2)⁴ . . . . . . evaluate parentheses
= 6 +64/4×(1/16) . . . . . . evaluate exponents
= 6 +16×(1/16) . . . . . . . . perform multiplication and divison left to right
= 6 +1
= 7

4 0

4 years ago

Find the slope a) -5, b) -1/5, c)5, d) 1/5,

Arturiano [62]

Answer:

The slope is a) -5.

Step-by-step explanation:

(-6, -4)

(-5, -9)

the difference in slope is $\frac{-9 - (-4)}{-5 - (-6)} = \frac{-9 + 4}{-5 +6} = \frac{-5}{1} = -5$

7 0

3 years ago