What is the smallest number that becomes 600 when rounded to the nearest hundred?
A. 545
B. 550
C. 555
D. 590

Answer:

4

Step-by-step explanation:

Slope = y2-y1/x2-x1

We need to find two points on the graph, let's take these two points:

(x1, y1) (X2,y2)

(0,-6) and (2,2)

(2-(-6)/ (2-0) = 8/2 = 4

Answered by Gauthmath

9514 1404 393

Answer:

Step-by-step explanation:

The Law of Cosines can be used to find the distance from the red boat to the lighthouse.

  b² = l² +r² -2lr·cos(B)

  b² = 18² +30² +2·18·30·cos(120°) = 1764

  b = √1764 = 42

The distance from the red boat to the lighthouse is 42 miles.

__

The angle at the lighthouse can be found using the law of sines.

  sin(L)/l = sin(B)/b

  L = arcsin(l/b·sin(B)) = arcsin(18/42·sin(120°)) ≈ 21.79°

The angle between the boats measured at the lighthouse is about 22°.

Answer:

(a)

[tex]\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}[/tex]

(b)

[tex]P(3 \le x \le 6) = 0.30[/tex]

[tex]P(4 \le x)=0.60[/tex]

Step-by-step explanation:

Given

[tex]F(x) = \left[\begin{array}{ccc}0& x<1 &\\0.30&1 \le x<3 &\\0.40&3 \le x < 4& &0.45 &4 \le x<6 &\\0.60 & 6 \le x < 12 & & 1 & 12 \le x\end{array}\right[/tex]

Solving (a): The pmf

This means that we list out the probability of each value of x.

To do this, we simply subtract the current probability value from the next.

So, we have:

[tex]\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}[/tex]

The calculation is as follows:

[tex]0.30 - 0 = 0.30[/tex]

[tex]0.40 - 0.30 = 0.10[/tex]

[tex]0.45 - 0.40 = 0.05[/tex]

[tex]0.60 - 0.45 = 0.15[/tex]

[tex]1 - 0.60 = 0.40[/tex]

The x values are gotten by considering where the equality sign is in each range.

[tex]1 \le x < 3[/tex] means [tex]x = 1[/tex]

[tex]3 \le x < 4[/tex] means [tex]x = 3[/tex]

[tex]4 \le x < 6[/tex] means [tex]x=4[/tex]

[tex]6 \le x < 12[/tex] means [tex]x = 6[/tex]

[tex]12 \le x[/tex] means [tex]x = 12[/tex]

Solving (b):

[tex](i)\ P(3 \le x \le 6)[/tex]

This is calculated as:

[tex]P(3 \le x \le 6) = F(6) - F(3-)[/tex]

From the given function

[tex]F(6)= 0.60[/tex]

[tex]F(3-) = F(1) = 0.30[/tex]

So:

[tex]P(3 \le x \le 6) = 0.60 - 0.30[/tex]

[tex]P(3 \le x \le 6) = 0.30[/tex]

[tex](ii)\ P(4 \le x)[/tex]

This is calculated as:

[tex]P(4 \le x)=1 - F(4-)[/tex]

[tex]P(4 \le x)=1 - F(3)[/tex]

[tex]P(4 \le x)=1 - 0.40[/tex]

[tex]P(4 \le x)=0.60[/tex]

Answer:

it is missing a scale because it should be at the bottom of the map

Answer:

x=−16/3 or x=2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x2+10x−8=24

Step 2: Subtract 24 from both sides.

3x2+10x−8−24=24−24

3x2+10x−32=0

Step 3: Factor left side of equation.

(3x+16)(x−2)=0

Step 4: Set factors equal to 0.

3x+16=0 or x−2=0

Answer:

q = [tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{2\sqrt{2} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2q = 2[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

q = [tex]\sqrt{2}[/tex]

Answer:

sin A = 4/5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin A = opp / hyp

sin A = 24/ 30

Dividing the top and bottom by 6

sin A = 4/5

sinØ=Perpendicular/Hypotenuse

Answer:

682

Step-by-step explanation:

191,919 + 262,626

454545 ÷ 666 = 682.5

Thus meaning 682 bags will have 666 berries and one bag will have 333 berries.

Answer:

16 bookmarks were sold

Answer:

40

Step-by-step explanation:

They sold 9 book marks for every 2 books (9:2 ratio).

72/9 = 2/x

Cross multiply. 72 * x = 72x

9 * 2 = 18

72 divided by 18 = 40

Answer:

x = 1

y = 2

Step-by-step explanation:

5x + 2y = 9

-5x + 4y = 3

==> 6y = 12 ==> y = 12/6 ==> y = 2.

we replace y by its value in the first or the second equation, so will have:

5x + 2×2 = 9

5x + 4 = 9

5x = 5

x = 1

Answer:

a) 2.06

b) variance = 270.90 , std = 275.14

Step-by-step explanation:

a) Determine Expected rate of return

attached below is the calculated table for the solution provided

∴ Expected rate of return = ∑ Xp(x) = -6.46 + 3.84 + 4.68 = 2.06

b) Determine the variance and standard deviation

Variance ( Vx ) = E(x)^2 - [ Expected rate of return ]^2

                         = 275.14 - ( 2.06 )^2 ≈ 270.90

standard deviation = √ variance = √270.90 = 16.459

note : E(x)^2 = ∑ x^2 p(x) = 275.14

Answer:

the last one

Step-by-step explanation:

Answers:

longer leg = 12 meters

hypotenuse = 13 meters

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Explanation:

Let's say the triangle has sides a,b,c such that a < b < c

Use the pythagorean theorem to solve for b

[tex]a^2 + b^2 = c^2\\\\5^2 + b^2 = (b+1)^2\\\\25 + b^2 = b^2+2b+1\\\\25 + b^2-b^2-2b-1 = 0\\\\-2b+24 = 0\\\\-2b = -24\\\\b = -24/(-2)\\\\b = 12[/tex]

The longer leg is 12 meters in length.

c = b+1 = 12+1 = 13

The hypotenuse is 13 meters long.

We have a 5-12-13 right triangle.

==========================================================

Explanation:

Piecewise functions are admittedly a bit confusing at first if you aren't familiar with them.

However, they aren't too bad. Effectively we have two functions going on depending on what the input is.

If the input x is less than 0, then we go for the top row and say [tex]f(x) = x^2[/tex]

OR

If the input x is greater than 0, then we go for the bottom row to say [tex]f(x) = \sqrt[3]{x}[/tex]

-------------------------------

In this case, the input is x = -8. So we go for the first row since this x value satisfies x < 0.

We would then say:

[tex]f(x) = x^2\\\\f(-8) = (-8)^2\\\\f(-8) = 64\\\\[/tex]

Which points us to choice A as the final answer.

Answer:

f(-8) = 64

Step-by-step explanation:

Input -8 into one of the formulas (either will work) and the answer should be 64. therefore, if x is -8, f(-8) would equal 64.

Answer:

you will add the numerator and the denominator and or you look for lowest common factor

Answer:

The situation that represents this situation is:

[tex]t = \frac{60}{n}[/tex]

Step-by-step explanation:

The amount of time t needed to assemble the set is inversely  proportional to the number people n working.

This means that:

[tex]t = \frac{k}{n}[/tex]

In which k is the constant of proportionality.

Twelve people can assemble the set in 5 hours.

This means that for [tex]n = 12, t = 5[/tex]. We use this to find k.

[tex]t = \frac{k}{n}[/tex]

[tex]5 = \frac{k}{12}[/tex]

[tex]k = 12*5 = 60[/tex]

Write an equation to represent the situation.

[tex]t = \frac{60}{n}[/tex]

9514 1404 393

Answer:

  288 km²

Step-by-step explanation:

The surface area is the sum of the area of the square base and the area of the four triangular faces.

  SA = (10 km)² + 4(1/2)(10 km)(9.4 km) = 288 km²

____

The area formulas for a square and a triangle are ...

  A = s² . . . . area of a square of edge length s

  A = 1/2bh . . . . area of a triangle with base b and height h

Answer:

(-∞,∞) is the domain.

2 is the range

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

6.6/3.3 = 2

10^-2 - (-4) = 10^2

The answer is 2 * 10^2 or 200.

Answer:1.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think you got it correct. The reciprical of this function is y = x.

Answer:

Step-by-step explanation:

Each gallon of 7% milk contains 0.07 gallon of butterfat.

Each gallon of 4% milk contains 0.04 gallon of butterfat.

291 gallons of 6% milk contain 291×0.06 = 17.46 gallons of butterfat.

Let x be the number of gallons of 7% milk used. 291-x is the number of gallons of 4% milk used.

0.07x + 0.04(291-x) = 17.46

0.03x + 11.64 = 17.46

x = 200

Use 200 gallons of 7% and 91 gallons of 4%.

Answer:

B

Step-by-step explanation:

The domain goes from -4 to 9. It would not be brackets since the actual points are not on the graph so it would be parentheses.

The value of vector v that is perpendicular to the plane through the points is,

⇒ v = (6, - 27, - 24)

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Points are,

A = (5,−4,4), B = (−5,0,−3), and C = (−4,2,−5).

Hence, We get;

AB = [- 10, 4, - 7]

AC = [-9, 6, -9]

So, The value of vector v that is perpendicular to the plane through the points is,

⇒ v = AB x AC

⇒ v = (- 10, 4, - 7) x (- 9, 6, - 9)

⇒ v = (6, - 27, - 24)

Thus, The value of vector v that is perpendicular to the plane through the points is,

⇒ v = (6, - 27, - 24)

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Answer:

A (5)

Step-by-step explanation:

        c represents the slope and a and b represent the two shorter sides of the right angled triangle ( x,y)

       [tex]c^{2}[/tex] = [tex]-4^{2} + 3^{2}[/tex]

            = 16 + 9

             = 25,

therefore [tex]\sqrt{c^{2} }[/tex] = [tex]\sqrt{25}[/tex]

                   c = 5

Answer: 0, 5

Step-by-step explanation: a translation is just like sliding the object in this case a triangle/point on the triangle. so the point it is at now is -2, 5 because it is 2 to the left and 5 up. and if you go to the right 2. then you are adding 2 to the x value. so -2 +2 = 0. which is how you get 0, 5

Answer:

Step 1:  Find the largest product

50 + 50 = 100

50 * 50 = 2500

Answer:  I believe that the largest product is 2500

Answer:

2sqrt3

Step-by-step explanation:

Since this seems to be a 45, 45, 90 triangle, x and y are the same.

The hypoteneuse is always the side lengths *sqrt2

We divide the hypoteneuse by sqrt 2 and get sqrt12

sqrt12 simplified is 2sqrt3