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2 years ago

For three minutes the temperature of a feverish person has had negative first derivative and positive second derivative.

Mathematics

1 answer:

nydimaria [60]2 years ago

7 0

Answer:

A.) The temperature fell in the last minute, but less than it fell in the minute before.

Step-by-step explanation:

Given that for three minutes the temperature of a feverish person has had negative first derivative and positive second derivative.

i.e. it temperature is represented by T, temperature is variable with

first derivative T' <0 and second derivative T">0

i.e. rate of change of temperature is negative or temperature is falling down in 3 minutes.

But the rate of rate of change of temperature was positive i.e. the rate of change of temperature is increasing as time increases.

So correct option would be option A

A.) The temperature fell in the last minute, but less than it fell in the minute before.

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Thomas purchased a bag of marbles on Monday. On Tuesday he gave half of the marbles to his brother. On Wednesday he gave eight m

kupik [55]

Answer:

168

Step-by-step explanation:

60+16+8 is 84

84 times 2 is 168

Mark me as brainliest if this helps!

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2 years ago

Which statements about the hyperbola are true? Check all that apply.

mariarad [96]

Answer:

True options: 1, 2 and 5

Step-by-step explanation:

From the given diagram, you can see that the center of the hyperbola is placed at the origin, so first option is true (see attached diagram for definition of center, vertices, foci, i.e.)

There are two vertices of the hyperbola, they are placed at (-6,0) and (6,0), so second option is true.

The transverse axis is the segment connecting vertices, this segment is horizontal, so option 3 is false.

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2 years ago

Read 2 more answers

A manageress earned £24,500 last year. This year she earns £25,235.

Korolek [52]

Answer:

Step-by-step explanation:

245000 last year

This year 25235

(y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

(( £25.235 - £24.500) / £24.500) * 100 = 0 %

There ain't no percentage change as there needs to be a bigger difference between the two numbers plus u should use the formula

7 0

2 years ago

A doctor is measuring the average height of male students at a large college. The doctor measures the heights, in inches, of a s

denpristay [2]

Answer:

For this case the 95% confidence interval is given (63.5 , 74.4) and we want to conclude about the result. For this case we can say that the true mean of heights for male students would be between 63.5 and 74.4. And the best answer would be:

b. The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches.

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=40-1=39$

b. The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches.

3 0

2 years ago

Mackin Investing charges its customers a 1% commission. The Ross Group, a discount broker, charges $25 per trade. For what amoun

olchik [2.2K]

Answer:

The amount of stock for which both brokers would charge the same commission is $2500.

Step-by-step explanation:

i) Let the amount of stock to be traded be worth $x

ii) therefore for both the brokers to charge the same commission we can write

1% of x = $25 $\RIghtarrow$ $\Rightarrow$ 0.01 $\times$ x = 25 $\therefore$ x = $\frac{25}{0.01} = 2500$

The amount of stock for which both brokers would charge the same commission is $2500.

5 0

2 years ago