What is the equation for the line? will give BRAINLYEST AND 50PTNS

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

3 years ago

Mrs. Johnson wants to take her class to the fair. The bus will cost $200 and the fair charges $4 per student. She has a $300 bud

omeli [17]

Answer:

This is simple,

Step-by-step explanation:

If the bus costs 200$ and the fair charges 4$ per students that means you have to do this:

300$ budget - 200 of the bus = 100$ left

and if $4 per student:

100 divided by 4 = 25

she can take 25 students

Hope this helps!

5 0

3 years ago

Write a statement that correctly interprets the confidence interval. Choose the correct answer below. A. One has 90% confidence

poizon [28]

Answer:

B. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

Step-by-step explanation:

A. One has 90% confidence that the sample proportion is equal to the population proportion.

Confidence interval gives an interval estimate, not an equality

B. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

Ture.

C. One has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

Also true but One has 90% confidence is not good interpretation.

D. 90% of sample proportions will fall between the lower bound and the upper bound.

Lower bound and upper bound is given to estimate population proportion.

4 0

3 years ago

PLEASE HELP ME PLEASE

suter [353]

Answer:

$1.21

Step-by-step explanation:

Start by finding the total amount spent on shirts. Do this by multiplying $3.65 and 4 together. You will get 14.6. So, he spent $14.60 on 4 shirts. Take this amount and subtract it from the total amount paid for shirts and socks. $23.07 minus $14.60. This will give you $8.47 left to spent on socks. $8.47 divided by 7 is $1.21. Therfore, James paid $1.21 per pair of socks.

4 0

3 years ago

Explain how you can use the distributive property to check the binomial factors when a trinomial has been factored. Include an e

erica [24]

What you can do is split one of the binomials and then apply the distributive property if f(x) = (x + 3)(x -2) split the 1st binomial f(x) = x(x -2) + 3(x -2) now apply the distributive property to get
f(x)=x2−2x+3x−6
which simplifies to
f(x)=x2+x−6

4 0

3 years ago

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