When Anna commutes to work, the amount of time it takes her to arrive is
normally distributed with a mean of 51 minutes and a standard deviation of 5
minutes. Using the empirical rule, determine the interval that represents the
middle 68% of her commute times.

Answer:

A≈314.16

Step-by-step explanation:

Question: Find the perimeter of the right triangle. If necessary, round to the nearest tenth. 4 cm 15 cm a. 15.5 cm

b. 30 cm

c. 60 cm

d. 34.5 cm​

Answer:

d. 34.5 cm

Step-by-step explanation:

Applying

Perimeter of the right triangle (P) = a+b+c

P = a+b+c.................... Equation 1

But we can find the hyotenuse (a) using pythagoras theorem

a² = b²+c²

a = √(b²+c²)............... Equation 2

Substituting equation 2 into equation 1

P = √(b²+c²)+b+c................... Equation 3

From the diagram,

Given: b = 4 cm, c = 15 cm

Substitute these values into equation 2

P = √(4²+15²)+4+15

P = √(241)+4+15

P = 15.5+4+15

P = 34.5 cm

Hence the right answer is d. 34.5 cm

Answer:

Equilateral triangles are always acute triangles.

Scalene triangles are sometimes acute triangles.

Right triangles are never acute triangles.

Obtuse triangles are sometimes isosceles triangles.

Step-by-step explanation:

Equilateral triangles are always acute because each angle is 60⁰.

Scalene triangles have sides that are different lengths. They can be right, obtuse, or acute.

A right triangle is never acute because it has a 90⁰ angle. Acute means all angles are less than 90⁰.

An obtuse triangle can be either scalene or isosceles. It always has one angle greater than 90⁰ (obtuse).

Answer:

[tex]volume = \frac{4}{3} \pi r^3\\\\Radius = 2 , volume = \frac{32\pi }{3}cm^3 \\\\Radius = 3, volume = 36\pi cm^3 \\\\Radius = 4, volume = \frac{256\pi }{3} cm^3\\\\Radius= 6, volume = 288\pi cm^3[/tex]

Answer:

7 oof

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

182.50/36.50 per week= 5 weeks

Answer:

t_n =a +(n-1)d

t_100 = 2+ (100-1)6

= 2+99× 6

= 2 +594

= 596

Answer:

5x

Step-by-step explanation:

If the blank were to be occupied with 5x there would be no solutions

Observe...

5x - 8 = 5x + 2

* subtract 5x from each side *

5x - 5x cancels out

5x - 5x cancels out

we're left with -8 = 2

which is not true

Hence if the blank = 5x the equation will have no solution

Answer:

112 in³

Step-by-step explanation:

ν = length*width*height

Answer:

Step-by-step explanation:

[tex]2\cdot35\cdot20+2\cdot35\cdot15+2\cdot20\cdot15+2\cdot9\cdot18+2\cdot9\cdot21+18\cdot21=\\\\=1400+1050+600+324+378+378=4130\,m^2[/tex]

Answer:

27.5

This is because you plug the numbers into the equation. Hope this helps!

Answer:

80.6 m

Step-by-step explanation:

Coordinates of the points P and Q are (0, 0) and (40, 70) respectively.

Length of the shortcut can be found by using distance formula between two points P and Q.

Length of the shortcut

[tex] = \sqrt{ {(40 - 0)}^{2} + {(70 - 0)}^{2} } \\ \\ = \sqrt{ {40}^{2} + {70}^{2} } \\ \\ = \sqrt{1600 + 4900} \\ \\ = \sqrt{6500} \\ \\ = 80.6225775 \\ \\ \approx \: 80.6 \: m[/tex]

Answer:

d would be correct

Step-by-step explanation:

A pyramid is a polyhedron formed by connecting a polygonal base and an a a p e x. The basic formula for pyramid volume is the same as for a cone: volume = (1/3) times  base area times height, where height is the height from the base to the a p e x. That formula is working for any type of base polygon and oblique and right pyramids.

Answer:

11:30

Step-by-step explanation:

8:40 + 2 hours = 10:40

10:40 + 20 min = 11:00

11:00 + 30 min = 11:30

Yes, It is crucial that the child's stomach be pumped promptly as the material is highly poisonous.

The LD50 is a Lethal dose and 50 represents 50 percent of the test animal's population, that is it will be lethal to half of the tested animals. The amount of a toxic agent (such as a poison, virus, or radiation) that is powered to wipe 50 percent of a population of animals on which it is tested.

Therefore, It is crucial that the child's stomach be pumped promptly as the material is highly poisonous.

Learn more about LD50 here: https://brainly.com/question/10042271

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Answer:

9 Minutes

Step-by-step explanation:

5x9=45

Brainliest?

Answer:

-6n

Step-by-step explanation:

Position = 1

Value of term = -6

Answer:

The area of the shaded region is 195.84sqft.

Step-by-step explanation:

Area of shaded region= 1/2(sum of parallel side)*height - π[tex](radius)^{2}[/tex]

Area of shaded region=1/2(20+34)*24 - π[tex](12)^{2}[/tex]

Area of shaded region=648-452.16

Area of shaded region=195.84 sqft.

To know more about area of shaded  region click here

https://brainly.com/question/14989383

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Answer:

Option b is the correct answer

[tex] (x - 13)^2 + (y - 15)^2 = 49 [/tex]

Step-by-step explanation:

[tex] (x - 13)^2 + (y - 15)^2 = 7^2 [/tex]

[tex] (x - 13)^2 + (y - 15)^2 = 49 [/tex]

Answer:

118000 thousand cents. Jdbduxb

Answer:

12

Step-by-step explanation:

The sequence starts at 48, and goes down 4 with each term. That means that we just need to subtract 4 from 48 12 times.

Hope that this helps!

Answer:

Step-by-step explanation: (96pi + 160)

cm^2

Answer:

The answer is 18.1

Answer:

no

Step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

Answer:

60 cubes

Step-by-step explanation:

10 times 6

6 are in each layer but there are 12 going down layer by layer

so 10 times 6 equal 60

the actuall answer is 60

= 60

Answer: The 12.81 for 14 lbs of apples is the better buy.

Step-by-step explanation:

Find the unit price (the price of 1 lb of apples)

7.64/8 lbs = 0.955 per pound

12.81/14 lbs. = 0.915 per pound;