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Kipish [7]
2 years ago
11

What's the next three terms

Mathematics
1 answer:
kramer2 years ago
5 0
4,-3 10,-6 16,-9 should be your answers to the following question
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Approximate the area between the xxx-axis and h(x) = \dfrac{1}{7-x}h(x)= 7−x 1 ​ h, (, x, ), equals, start fraction, 1, divided
tiny-mole [99]

Answer:

\dfrac{47}{60} sq. units.

Step-by-step explanation:

The given function is

h(x)=\dfrac{1}{7-x}

We need to find the area between x-axis and the given function from x=2 to x=5.

Left Riemann sum formula of area:

Area=\sum_{n=0}^{N-1}f(x_n)(\Delta x_n)

For given question,

Area=\sum_{n=2}^{5-1}f(x_n)(\Delta x_n)

Area=\sum_{n=2}^{4}f(x_n)(\Delta x_n)

Area=f(x_2)(3-2)+f(x_3)(4-3)+f(x_4)(5-4)

Now,

Area=\dfrac{1}{7-2}\times (1)+\dfrac{1}{7-3}\times (1)+\dfrac{1}{7-4}\times (1)

Area=\dfrac{1}{5}+\dfrac{1}{4}+\dfrac{1}{3}

Area=\dfrac{12+15+20}{60}

Area=\dfrac{47}{60}

Therefore, the required area is \dfrac{47}{60} sq. units.

5 0
2 years ago
A baker knows that the daily demand for strawberry pies is a random variable that follows the normal distribution with a mean of
Elan Coil [88]

The demand that has an 8% probability of being exceeded is 38.1230 .

<h3>What is probability?</h3>

Probability is the aspect of mathematics that focus on the occurrence of a random event.

This is calculated below:

The  normal random variable having the  mean is been given as :

(Mu = 31.8)

The standard deviation is been given as ( sd = 4.5)

Then in making our calculation, we will need to make use of the formular below:

\\Z= (X - Mu) / sd = (X - 31.8) / 4.5

But we know that going with the  probability of 0.08

where  k = 1.4051

P (Z > 1.4051)

k = 1.4051

we can have the expression for  k  as [(X - 31.8) / 4.5]

This can be simplified as:

X  = 4.5 (1.4051) + 31.8 = 38.1230.

Therefore, the  demand that has an 8% probability of being exceeded is 38.1230 .

Learn more about normal distribution on:

brainly.com/question/4079902

#SPJ1

5 0
2 years ago
Saul recorded the number of different types of pets his friends have in the table shown below: Cats 3 Dogs 2 Rabbits 1 Guinea Pi
asambeis [7]

The answer to this is the last option

5 0
3 years ago
Read 2 more answers
Find S12 for the series 2 + 5 + 8 +...
olga55 [171]
2+5+8+11+14+17+20+23+26+29+32+35
4 0
3 years ago
Read 2 more answers
4/5 of a number is 16. What is the number?
Zepler [3.9K]

Answer:

20

Step-by-step explanation:

5 0
3 years ago
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