evaluate the expression ​

Answer:

12 cm²

Step-by-step explanation:

area = L *B

a = 6 * 2

a = 12cm²

Answer:

No

Step-by-step explanation:

Each "x" should have a corresponding "y" value. In this case, however, an x has two different y values which would not make this a function. You can check this through the vertical line test.

Answer:

The answer is "Option d".

Step-by-step explanation:

Please find the correct and complete question in the attachment file.

The taxis were known to also be uniformly distributed through the Logan airport to the city of Boston, as well as a sample of seven taxi rates gives an average of $15.51 for [$14.77 and $16.23] for a 95% trust interval. Having 95 percent confidence, we could give a valid interpretation of the confidence level for the averages taxi rates among both Logan Airport and Boston Centre.

Answer:

[tex]f(x) = \sum\limits^{\infty}_{n=0} \frac{-(1)^n\cdot x^n}{5^{n+1}}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{5 + x}[/tex]

Required

The power series centered at [tex]x = 0[/tex]

We have:

[tex]f(x) = \frac{1}{5 + x}[/tex]

Factor out 5 from the denominator

[tex]f(x) = \frac{1}{5(1 + \frac{x}{5})}[/tex]

Rewrite as:

[tex]f(x) = \frac{\frac{1}{5}}{(1 + \frac{x}{5})}[/tex]

Further, rewrite as:

[tex]f(x) = \frac{1}{5}(1 + \frac{x}{5})^{-1}[/tex]

Expand the bracket

[tex]f(x) = \frac{1}{5}(1 - \frac{x}{5} + (\frac{x}{5})^2 - (\frac{x}{5})^3+..........)[/tex]

Evaluate all exponents

[tex]f(x) = \frac{1}{5}(1 - \frac{x}{5} + \frac{x^2}{25} - \frac{x^3}{125}+......)[/tex]

Open brackets

[tex]f(x) = \frac{1}{5} - \frac{x}{5^2} + \frac{x^2}{5^3} - \frac{x^3}{5^4}+......[/tex]

Notice the pattern as:

[tex]f(x) = \frac{1}{5} - \frac{x}{5^2} + \frac{x^2}{5^3} - \frac{x^3}{5^4}+......\± \frac{x^n}{5^{n+1}}[/tex]

So, the power series is:

[tex]f(x) = \sum\limits^{\infty}_{n=0} \frac{-(1)^n\cdot x^n}{5^{n+1}}[/tex]

Answer:

the answer is option B because it has been factorized completely

Answer:

Step-by-step explanation:

If you make x footballs, the cost per football is (30+3.5x)/x dollars.

If you make 1 football, the cost of the football is $33.50

Answer:

0.14

Step-by-step explanation:

From the question given above, the following data were obtained:

Grade A = 5

Grade B = 10

Grade C = 15

Grade D = 3

Grade F = 2

Sample space (S) = 35

Probability of getting grade A, P(A) =?

The probability that a student obtained a grade of A can be obtained as follow:

Probability of getting grade A, P(A) =

Event of A (nA) / Sample space, (nS)

P(A) = nA/nS

P(A) = 5/35

P(A) = 0.14

Thus, probability that a student obtained a grade of A is 0.14

More information pleaseeeeeeee

Answer:

it 94x26.2 i think it right if not sorry :/

Step-by-step explanation:

Answer: 0.5747

Step-by-step explanation:

Given: Average time to serve a customer[tex](\mu)=4.35[/tex] minutes

standard deviation of the service time [tex](\sigma)=[/tex] 2.5 minutes

coefficient of variation = [tex]\frac{\sigma}{\mu}[/tex]

[tex]=\dfrac{2.5}{4.35}\\\\=\dfrac{250}{435}\\\\=0.5747[/tex]

Hence, the required coefficient of variation= 0.5747

Answer:

Answer:

Option B 8.54\ units8.54 units

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

Let

[tex]\begin{gathered}A(5,7)\\E(-3.4)\end{gathered} [/tex]

substitute the values

[tex]dAB=\sqrt{(4-7)^{2}+(-3-5)^{2}}[/tex]

[tex]dAB=\sqrt{(-3^{2}+(-8)^{2}}[/tex]

[tex]dAB=\sqrt{73}=8.54\ units[/tex]

Answer:

13

Step-by-step explanation:

square root of 169 is 13

Answer: C

Step-by-step explanation:

First, rearrange the data from least to greatest: 45, 47, 54, 59, 81, 90

Substitute in each of the answer choices, subtract the minimum value from the maximum value, and find one that result in 50.

I also need help anyone can help

Answer:

128 square feet

Step-by-step explanation:

length of the bottom edge of the wall (a) = 22.5 feet

length of the top edge of the wall (b) = 9.5 feet

height of the wall (h) = 8 feet

then

area of the wall = [(a + b)/2] * h

                         = [ (22.5 + 9.5)/2] * 8 square feet

                          = (32/2) * 8 square feet

                          = 16 * 8 square feet

                          = 128 square feet

Answer:

20'×15 in 54 inches

Step-by-step explanation:

The Best as a pool should be rectangular in shape and 54inches deep for safety of life's

The volume of the rectangular pool that is 20' x 15' in 54 inches deep is largest.

The volume of the cylinder is the product of the height, pie, and square of the radius.

The volume of the cylinder = [tex]\pi r^{2}[/tex]h

The volume of the cylindrical pool that has a 3.3 m radius and is 1.8 m deep is;

=  [tex]\pi r^{2}[/tex]h

[tex]= 3.14 (3.3)^2 (1.8)\\\\= 61.55 m^3[/tex]

The volume of the rectangular pool that is 20' x 15' in 54 inches deep ;

V = 20 x 15 x 54

V = 16,200 cubic meter.

The volume of the rectangular pool that is 20' x 15' in 54 inches deep is largest.

Learn more about volume;

https://brainly.com/question/1578538

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Answer:

a.

Step-by-step explanation:

The p-value is a measurement of the likelihood that a difference observed is due to a random chance or a sampling error. In an alternative way, the p-value of a study represents the probability or area under distribution for obtaining more radical outcomes whenever the null hypothesis is true.

Any observable change is deemed to be addressed by sampling variability if the P-value is greater than the selected alpha level. A statistical test will nearly always show a substantial difference with a suitably big sample unless there is no impact at all when the effect size is exactly zero.

As a result, simply reporting the P-value alone for a study is insufficient to fully validate the results and findings of scientific publications.

Answer:

If we have a given number N, and we increase it by x%, then the new number is:

N + (x%/100%)*N

While if we decrease it by x%, the new number will be:

N - (x%/100%)*N

Now, we know that:

"A number increased by a% and decreased by 80% is 400. What is the number?"

First, we can not solve the problem, because we have two unknown values, the original number and the "a%", which I guess is a typo.

So, to be general with my answer, let's assume that the actual question is:

"A number increased by 50% and decreased by 80% is 400. What is the number?"

Then, if our original number is N and we increase it by 50%, the new number will be:

N + N*(50%/100%)

N + N*0.5

N*(1 + 0.5)

N*(1.5)

Now we decrease it by 80%, and that will be equal to 400, then:

N*1.5 - N*(1.5)*(80%/100%) = 400

N*1.5 - N*1.5*0.8 = 400

N*(1.5 - 1.5*0.8) = 400

N*(0.3) = 400

N = 400/0.3 = 1,333.33...

Remember that this is a kinda general solution, so you can understand how to solve this type of problem.

Answer:

[tex]\angle P[/tex]

Step-by-step explanation:

Given

[tex]\triangle PRQ = \triangle TSU = 90^o[/tex]

[tex]PQ = 20[/tex]     [tex]QR = 16[/tex]    [tex]PR = 12[/tex]

[tex]ST = 30[/tex]       [tex]TU = 34[/tex]    [tex]SU = 16[/tex]

See attachment

Required

Which sine of angle is equivalent to [tex]\frac{4}{5}[/tex]

Considering [tex]\triangle PQR[/tex]

We have:

[tex]\sin(P) = \frac{QR}{PQ}[/tex] --- i.e. opposite/hypotenuse

So, we have:

[tex]\sin(P) = \frac{16}{20}[/tex]

Divide by 4

[tex]\sin(P) = \frac{4}{5}[/tex]

Hence:

[tex]\angle P[/tex] is correct

Answer:

A or <P

Step-by-step explanation:

on edge 2021

Answer:

Hence the distribution will be between 600 hours and 900 hours is 74.9%.

Step-by-step explanation:

Answer:

"The coefficient with the largest absolute value is the most narrow graph."

y = ⅓x² → widest

y = -½x²

y = -9x² → narrowest

Answer:

[tex]H_0: \mu = 8[/tex]

[tex]H_1: \mu \neq 8[/tex]

Step-by-step explanation:

A company claims that its soup vending machines deliver exactly 8 ounces of soup to every customer.

This means that the null hypothesis is that the mean is exactly 8, that is:

[tex]H_0: \mu = 8[/tex]

You do not want the vending machines to deliver too much or too little soup.

We don't want the mean to be different from 8, which means that the alternative hypothesis is given by:

[tex]H_1: \mu \neq 8[/tex]

Answer:

D

The missing piece (triangle) is facing right side up but the red triangle has its point facing left

TO get it facing up, turn it by 90 degrees clockwise

Answer:

just ignore this whole thing

Answer: There is a pattern if you look closely :)

So yhe required answer would be 7^-1

Step-by-step explanation:

Answer:

G(x)=lx+4l

G(-10)=l-10+4l

=l-6l

=6

Answer: 6

9514 1404 393

Answer:

Step-by-step explanation:

The numbers that describe the domain of the piece are the x-value at the left end and the x-value at the right end of each piece.

Piece 1 is defined between x=-4 and x=-1, so the interval is [-4, -1).

Piece 2 is defined between x=-1 and x=1, so the interval is [-1, 1).

Piece 3 is defined between x=1 and x=5, so the interval is [1, 5].

_____

Additional comment

The rounded bracket at the right end of the domain interval means the point is not included. The square bracket means the point is included. In general, you only want each x-value to have one corresponding f(x) definition, so it is usually not appropriate to include it as part of two different pieces of the piecewise function. [-4, -1) means -4 ≤ x < -1.

Answer:

251.5 cm

Step-by-step explanation:

1 m = 100 cm

1 cm = 10 mm

2 m + 50 cm + 15 mm =

= 2 m * (100 cm)/m + 50 cm + 15 mm * (1 cm)/(10 mm)

= 200 cm + 50 cm + 1.5 cm

= 251.5 cm

Answer:

Step-by-step explanation:

the arrows from the picture tells us that TV is parallel to RS

since TS is a transversal that cuts the 2 parallel lines TV and RS than ∠S =x

(alternate interior angles)

sum of angles in a Δ is 180° so x+x+2x = 180°, 4x =180°, x= 45°

2x = 45*2 = 90°

Answer:

I think

c. 164

Step-by-step explanation:

m<BAC=m<FAE = 25

m< CAD=m< DAE= 57

m<BAF= 25+25+57+57=164