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3 years ago

If the interval (a, oo) describes all values of x for which the graph of f(x) =

Mathematics

1 answer:

zysi [14]3 years ago

3 0

Answer:

Answer:

a = - 1.1

Step-by-step explanation:

Condition for a single variable function f(x) to be decreasing is f'(x) < 0.

So, in our case, .

Then, differentiating with respect to x on both sides we get,

⇒

{Dividing both sides with - 1 and hence the inequality sign changes}

⇒

⇒ 8 > - 6x³ {Multiplying both sides with x³}

⇒ 6x³ > - 8 {Interchanging the sides}

⇒

⇒ x > - 1.1

Therefore, a = - 1.1. (Answer)

Step-by-step explanation:

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What is 5x5x5x5 plz tell me

Llana [10]

5 times 5 times 5 times 5 is 20

So just count by 5

Hope this help

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2 years ago

Read 2 more answers

What polynomial can be simplified to a different of squares? 10a2+3a-3a-16

olganol [36]

$10a^2 +3a -3a -16 = 10a^2 -16 = (\sqrt{10}a +4 ) (\sqrt{10}a - 4 )$

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2 years ago

A rectangle has a length of 42 inches and a width of 14 inches. Which of the following is not equal to the ratio of the rectangl

Temka [501]

The ratio of the rectangle's length to its width is 42/14 which simplifies to 3/1 by factoring out 14 out of the numerator and denominator.
Any ratio that is not 3:1, or a multiple of 3:1, is not equal.

List of Equal Ratios: 6:2, 9:3, 12:4, etc.

4 0

2 years ago

A literature professor decides to give a 10-questiontrue-false quiz to determine who has read an as-signed novel. She wants to c

Darya [45]

Answer:

The teacher should set the score 7 as the lowest passing grade.

Step-by-step explanation:

Let X = number of correct guesses.

All the questions are of true-false format.

The probability of getting a correct answer is, p = 0.50.

The total number of questions is, n = 10.

The random variable X follows a Binomial distribution with parameters n = 10 and p = 0.50.

The probability mass function of X is:

$P(X=x)={10\chose x}0.50^{x}(1-0.50)^{10-x};\ x=0,1,2,3...$

Now the teaches chose the grading scheme such that the probability of passing a student who guesses on every question is less than 0.05.

Then the probability of failing such a students is at least 1 - 0.05 = 0.95.

Compute the probability distribution of X.

Consider the probability distribution attached below.

The value of x for which P (X ≤ x) is at least 0.95 is, x = 7.

So the teacher should set the score 7 as the lowest passing grade.

7 0

2 years ago

A data set includes 103 body temperatures of healthy adult humans having a mean of 98.9degreesf and a standard deviation of 0.67

trasher [3.6K]

Answer:

Step-by-step explanation:

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation = 0.67

n = number of samples = 103

From the information given, the population standard deviation is unknown hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 103 - 1 = 102

Since confidence level = 99% = 0.99, α = 1 - CL = 1 – 0.99 = 0.01

α/2 = 0.01/2 = 0.005

the area to the right of z0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995

Looking at the t distribution table,

z = 2.6249

Margin of error = 2.6249 × 0.67/√103

= 0.173

Confidence interval = 98.6 ± 0.173

This suggests that the mean body temperature could very possibly be

98.6degrees°F.

3 0

3 years ago