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3 years ago

How to calculate area under exponential curve?

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

7 0

Y=f(x) between x=a and x=b, integrate y=f(x) between the limits of a and b

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Just answer # 1 please

Rudiy27

Can't see the photo fully! Sorry!

4 0

3 years ago

a thermometer measures temperature to the nearest 0.5 degrees celsius which measurement shows an appropriate level of precision

Alja [10]

The temperature which has best degree of precision would actually be the temperature reading which has similar decimal place with the error. So the best answer would have 1 decimal and from the choices given above, this would be:

16.0°C

4 0

3 years ago

Prove that the median to the hypotenuse of a right triangle is half the hypotenuse,

REY [17]

Answer:

D. 2

Step-by-step explanation:

M(0,2b)

N(2a,0)

Then the midpoint P coordinates are

P\left(\dfrac{2a+0}{2},\dfrac{0+2b}{2}\right)\Rightarrow P(a,b)

Use distance formula to find OP and MN:

OP=\sqrt{(a-0)^2+(b-0)^2}=\sqrt{a^2+b^2}\\ \\MN=\sqrt{(2a-0)^2+(2b-0)^2}=\sqrt{4a^2+4b^2}=2\sqrt{a^2+b^2}

So,

MN=2OP

OP=1/2 MN

Click to let others know, how helpful is it

7 0

2 years ago

Container is shaped like a triangular prism. 3 cm 5 cm

Marianna [84]

ANSWER

$A=222\operatorname{cm}$

EXPLANATION

A) From the diagram, we see that the base of the triangular face is 4 cm long and the height of the triangular face is 3 cm.

B) From the diagram, we see that the length of two of the rectangular face is 15 cm and the width of the rectangular face is 5 cm.

The third rectangular face has a length of 15 cm and a width of 4 cm.

C) The surface area of the prism is the sum of the areas of the faces of the prism.

The area of a triangle is given as:

$A=\frac{1}{2}\cdot b\cdot h$

where b = base, h = height

The area of a rectangle is given as:

$A=l\cdot w$

where l = length, w = width

Therefore, the surface area of the prism is:

$\begin{gathered} A=2(\frac{1}{2}\cdot4\cdot3)+2(15\cdot5)+(15\cdot4) \\ A=12+150+60 \\ A=222\operatorname{cm}^2 \end{gathered}$

4 0

10 months ago

"The manager for State Bank and Trust has recently examined the credit card account balances for the customers of her bank and f

yuradex [85]

Answer:

$P(X = 4 ) = 0.1876$

$P(X \le 4) = 0.8358$

Step-by-step explanation:

From the question we are told that

The proportion that has outstanding balance is p = 0.20

The sample size is n = 15

Given that the properties of the binomial distribution apply, for a randomly selected number(X) of credit card

$X \ \ ~ Bin (n , p )$

Generally the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards is mathematically represented as

$P(X = 4 ) = ^nC_4 * p^4 * (1 - p)^{n-4}$

=> $P(X = 4 ) = ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}$

Here C stand for combination

=> $P(X = 4 ) = 0.1876$

Generally the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card is mathematically represented as

$P(X \le 4) = [ ^{15}C_0 * (0.20)^0 * (1 - 0.20)^{15-0}]+[ ^{15}C_1 * (0.20)^1 * (1 - 0.20)^{15-1}]+\cdots+[ ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}]$

=> $P(X \le 4) = 0.8358$

4 0

3 years ago