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3 years ago

5

Using the intermediate value theorem, determine, if possible, whether the function f has at least one real zero between a and

b. f(x)=x^3+4x^2-6x-6 a=-6 b=-4

1 answer:

Arturiano [62]3 years ago

4 0

Answer:

B

Step-by-step explanation:

-4^3+4(-4)^2-6(-4)-6

-64+64+24-6

-64+64=0

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An Uber fare in Columbus is $3.50 for the first ½ mile and additional mileage charged at a rate of $0.30 for each additional 0.1

Alina [70]

If we consider the first half mile to be charged at $0.30 per tenth also, that half-mile costs $1.50 and the charges amount to a fixed fee of $2.00 and a variable fee of $0.30 per tenth mile.

After you subtract the $2 tip and the fixed $2 fee from the trip budget amount, you have $11.00 you can spend on mileage charges. At 0.30 per tenth mile, you can travel

... $11.00/$0.30 = 36 2/3 . . . . tenth-miles

The trip is measured in whole tenths, so you can ride ...

... 36 × 1/10 = 3.6 miles

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If you want to see this in the form of an equation, you can let x represent the miles you can travel. Then your budget amount gives rise to the inequality ...

... 3.50 + 0.30((x -.50)/0.10) + 2.00 ≤ 15.00

... 3.50 + 3x -1.50 +2.00 ≤15.00 . . . . . . . eliminate parentheses

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3 years ago

A box is supposed to have 150 folders in it. Clare counts only 147 folders in

VikaD [51]

Answer:

it's a 0.02% error.

147/150= 0.98% of the folders are there, making the error 0.02%

Step-by-step explanation:

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3 years ago

HELP QUICKLY AND FAST PLS IM GIVING BRAINLIEST!!!

grigory [225]

Answer:

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Step-by-step explanation:

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3 years ago

A particular battery claims to have a mean life of 400 hours with a standard deviation of 30 hours. Approximately what percent o

Svetach [21]

Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 hours.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, we have that the mean and the standard deviation are given, respectively, by:

$\mu = 400, \sigma = 30$ .

The proportion of the batteries will last more than 420 hours is <u>one subtracted by the p-value of Z when X = 420</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{420 - 400}{30}$

Z = 0.67

Z = 0.67 has a p-value of 0.7486.

1 - 0.7486 = 0.2514.

0.2514 = 25.14% of the batteries will last more than 420 hours.

More can be learned about the normal distribution at brainly.com/question/24663213

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3 0

2 years ago

Find the value of x. Round to the<br> nearest tenth.<br> X<br> 37<br> 6<br> X=<br> Enter

Schach [20]

<u>Answer:</u>

<h2>x ≈ 4.5</h2>

<u>Steps:</u>

tan(37°) = 0.75..

tan(37°) = x/6

x/6 = 0.75..

x = 0.75.. × 6

x = 4.52.. ≈ 4.5

4 0

3 years ago