1) Complete the table
2) find the mean of the random variable x. Use the formula in the photo

Answer:

3(a). The ship travelled in north is 26.0 km.

(b). The ship travelled in east is 23.4 km.

4(a). The ship travelled in south is -88.61 km.

(b). The ship travelled in west is -179.29 km.

Step-by-step explanation:

Given that,

(3). Distance = 35 km

Angle = 42°

Let distance in north is y km.

We need to calculate the distance

Using vertical component

[tex]y = d\cos\theta[/tex]

Put the value into the formula

[tex]y = 35\cos42[/tex]

[tex]y=26.0\ km[/tex]

Let distance in east is x  km

We need to calculate the distance

Using horizontal component

[tex]x =d\sin\theta[/tex]

Put the value into the formula

[tex]x = 35\sin42[/tex]

[tex]x=23.4\ km[/tex]

(4). A ship sails 200 km on a bearing of 243.7°

Let distance in south is y km.

We need to calculate the distance

Using vertical component

[tex]y = d\cos\theta[/tex]

Put the value into the formula

[tex]y = 200\cos243.7[/tex]

[tex]y=-88.61\ km[/tex]

Let distance in west is x  km

We need to calculate the distance

Using horizontal component

[tex]x =d\sin\theta[/tex]

Put the value into the formula

[tex]x = 200\sin243.7[/tex]

[tex]x=-179.29\ km[/tex]

Hence, 3(a). The ship travelled in north is 26.0 km.

(b). The ship travelled in east is 23.4 km.

4(a). The ship travelled in south is -88.61 km.

(b). The ship travelled in west is -179.29 km.

Answer:

The square root of 38.

Step-by-step explanation:

The square root of 38 is about 6.16.

The square root of 35 is about 5.91.

The square root of 45 is about 6.70.

The square root of 48 is about 6.92,

So the most reasonable one is the square root of 38, since it is much closer to 6.

Answer:

  4 cm

Step-by-step explanation:

At 12 cm depth, the depth is 12/15 = 4/5 of the height of the container.

When the container is tipped on its side, so its height is 5 cm, the depth will still be 4/5 of the height.

  (4/5)(5 cm) = 4 cm

The depth will be 4 cm.

Answer:

The correct option is;

C. -3, multiplicity 2; -1, multiplicity 1; 1, multiplicity 1

Please find attached the required function graph

Step-by-step explanation:

To solve the equation f(x) = 2·x⁴ + 12·x³ + 16·x² -12·x - 18, by graphing the function, we have;

x [tex]{}[/tex]       F(x)

-4[tex]{}[/tex]       30

-3[tex]{}[/tex]       0

-2[tex]{}[/tex]       6

-1[tex]{}[/tex]        0

0 [tex]{}[/tex]      -18

1[tex]{}[/tex]         0

2[tex]{}[/tex]       150

The shape of a graph with multiplicity of 2

Given that the graph bounces of the horizontal axis at the y-intercept at point x = -3, the factor (x - 3) must be a quadratic of the form (x - 3)², thereby having a multiplicity of 2 in the solution which are;

x = 1, -1, and, giving

(x - 1)·(x + 1)·(x - 3)² = 0

Therefore, the correct option is -3, multiplicity 2; -1, multiplicity 1; 1 multiplicity 1.

Answer:

C

Step-by-step explanation:

[tex]6x^2+12x=5x-2\\6x^2+7x+2=0\\6x^2+3x+4x+2=0\\3x(2x+1)+2(2x+1)=0\\(3x+2)(2x+1)=0\\x=-\dfrac{2}{3} \vee x=-\dfrac{1}{2}[/tex]

Answer: It is a Rotation Angle 90 Degrees clockwise about the point (3,4)

Step-by-step explanation:

Mark the point (3,4) with your finger and turn your phone once to the right Your old shape is where your new shape your be now. That’s rotation.

Answer:

x intercepts at -4 and 1,

with a minimum at (-1.5, -6.25)

Step-by-step explanation:

(x + 4)(x - 1) = 0

x = -4, 1

min = -b/2a = -3/2(1) = x = -1.5

y = (-1.5)² + 3(-1.5) - 4 = -6.25

Answer:

  graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4

Step-by-step explanation:

The graph shows the minimum is (-1.5, -6.25) and the x-intercepts are a -4 and 1. This matches the last description.

__

The x-coordinates of the offered minima are all different, so it is sufficient to know that the axis of symmetry is the line ...

  x = -b/(2a) = -3/(2(1)) = -1.5 . . . . . . . for quadratic f(x) = ax² +bx +c

This is the x-coordinate of the minimum.

Answer:

Step-by-step explanation:

1/20 of 700:  1/20•700 = 35

700 + n•35 = 1050

n•35 = 350

n = 10

Answer:

NOT a rational expression.

Step-by-step explanation:

A rational expression is a fraction of two polynomials.

Since the denominator contains a square-root radical, it is not considered a polynomial.

Therefore the given exprssion is NOT a rational expression.

Answer:

It does not matter which color you add first because either way you will end up with the same color, purple. We can relate this to the commutative property of addition because blue + red = red + blue.

Pls mark it Brainliest!!!

Answer:

V = 125 cu.

Step-by-step explanation:

Since volume = L x W x H -->

Plug the numbers in --> 5 x 5 x 5 (5 cubed) -->

25 x 5 = 125

Thus, the total volume of this cube is 125 cu.

Hope this helps!

Answer:

Step-by-step explanation:

Volume of a cube = l³

where l is the length of one side

From the question

there are 5 squares on each side of the cube

So l = 5 units

Volume of the cube = 5³

We have the final answer as

Hope this helps you

Answer: 8

Step-by-step explanation:

Answer:

2 means dollars per cupcake

Step-by-step explanation:

it makes sense because it says d=2c which is

money = $2 per cupcake

so if their are 2 cupcakes then

d=2*2 = $4

Answer:

y = -2x - 8

Step-by-step explanation:

Find the slope using rise/run (y2 - y1) / (x2 - x1)

(-10 - 8) / (1 + 8)

-18/9

= -2

Next, plug in the slope and a point into the equation to find b:

y = mx + b

-10 = -2(1) + b

-10 = -2 + b

-8 = b

Now, plug this and the slope into the equation:

y = -2x - 8

Answer:

(-2y-6)(-3y-8)

= 6y²+16y+18y+48

= 6y²+ 34 y +48

Hope this helps

if u have question let me know in comments ^_^

Answer:

Here is your answer!!!

Step-by-step explanation:

-2y(-3y-8)-6(-3y-8)

6y^2+16y+18y+48

6y^2+34y+48

Answer:

10

Step-by-step explanation:

it is Pythagoras theorem

6*6=36

8*8=64

64+36=100

square root of 100 is 10

The equation that represents Jacob's age is  x = y + z + 2

From the question, the following information was provided :

Jacob's age is two years more than the sum of the ages of his siblings Becky and Micah.

This above information can be represented with the equation below

Jacob = 2 + ( Becky + Micah) (equation 1)

If :

x represents Jacob's age

y represents Micah's age

z represents Becky's age

Equation 1, can be rewritten as x = y + z + 2

Micah's age can be determined by making Micah the subject of the formula in the above equation

Micah = Jacob - Becky - 2   (equation 2)

If :

x represents Micah's age

y represents Becky's age

z represents Jacob's age

Micah's age can be rewritten as :

x = z - y - 2

Becky's age  age can be determined by making Becky the subject of the formula in the first equation.

Becky = Jacob - Micah - 2 (equation 3)

If:

x represents Becky's age

y represents Jacob's age

z represents Micah's age

Equation 3 can be rewritten as :

x = y - z - 2

Check here for a related question : https://brainly.com/question/21843246?referrer=searchResults

Using a system of equations, it is found that the correct equation is given by:

[tex]x = y + z + 2[/tex], which is option B.

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

[tex]x = y + z + 2[/tex]

Which is given by option B.

A similar problem is given at https://brainly.com/question/24233433

Answer:

4

Step-by-step explanation:

Answer:

-26, and -36

Step-by-step explanation:

(-2) (-3) + (4) (-8)

        6 + -32 = -26

(3) (-6) - 18

       -18 + -18 = -36

Answer:

g(x)=-3x^{3}+2

Step-by-step explanation:

g(x) has a range that of (-infinity, +infinity), whereas f(x) has a range of (-infinity, -2].

Answer:

Step-by-step explanation:

● f(x) = -x^4 -2

● g(x) = -3x^3 + 2

Derivate both functions:

● f'(x) = -4x^3

● g'(x) = -9x^2

Solve the equations f'(x) =0 and g'(x) =0

● f'(x) = 0

● -4x^3 = 0

● x^3 = 0

● x =0

● g'(x) = 0

● -9x^2 = 0

● x^2 =0

● x = 0

So both functions f and g reach their maximum at 0.

● f(0) = 0^4-2 = -2

● g(0) = -3×0^3 +2 = 2

So g(0)>f(0)

So g has the largest maximum value.

Answer:

13. [tex]\frac{\sqrt[5]{x^4} }{x}[/tex].

14. [tex]v = \pm3\sqrt{5}[/tex]

15. 2.

Step-by-step explanation:

13. [tex]x^{1/5} * x^{-2/5}[/tex]

= [tex]x^{1/5 + (-2/5)}[/tex]

= [tex]x^{1/5 - 2/5}[/tex]

= [tex]x^{-1/5}[/tex]

= [tex]\frac{1}{x^{1/5}}[/tex]

= [tex]\frac{x^{4/5}}{x^{1/5 + 4/5}}[/tex]

= [tex]\frac{x^{4/5}}{x}[/tex]

= [tex]\frac{\sqrt[5]{x^4} }{x}[/tex].

14. [tex]v^2 - 45 = 0[/tex]

[tex]v^2 = 45[/tex]

[tex]\sqrt{v^2} = \pm\sqrt{45}[/tex]

[tex]\sqrt{v^2} = \pm\sqrt{3^2 * 5}[/tex]

[tex]v = \pm3\sqrt{5}[/tex].

15. [tex]\sqrt[3]{2} * \sqrt[3]{4}[/tex]

= [tex]\sqrt[3]{2 * 4}[/tex]

= [tex]\sqrt[3]{2 * 2 * 2}[/tex]

= [tex]\sqrt[3]{2 ^3}[/tex]

= 2.

Hope this helps!

Answer:

second table

Step-by-step explanation:

Out of the 8 options on the spinner, 2 of them are 0's, 1 of them is a 1, 2 of them are 2's and 3 of them are 3's so the probability of spinning a 0, 1, 2 or 3 is 2/8, 1/8, 2/8 or 3/8 which becomes 0.25, 0.125, 0.25 or 0.375 respectively. Therefore, the answer is the second table.

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▹ Answer

x = 3

▹ Step-by-Step Explanation

[tex]\frac{9}{150} \\\\150/3 = 50\\9/3 = 3\\\\x = 3[/tex]

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

4/12, 5/12, 6/12, 7/12

Step-by-step explanation:

1/4 x 3/3 = 3/12

2/3 x 4/4 = 8/12

between 3/12 and 8/12

4/12, 5/12, 6/12, 7/12

you can simplify these if you wish

Hope that helped!!! k

Answer:

18 inches

Step-by-step explanation:

To to this you would just divide 54 by 3 and you would get how far away from the endpoint which is 18 inches

Answer:

Option B is the correct option.

Step-by-step explanation:

[tex] \mathrm{ - \frac{4}{5} \div 2}[/tex]

[tex] \mathrm{dividing \: a \: negative \: and \: a \: positive \: equals \: a \: negative \:. \: ( - ) \div ( + ) = ( - )}[/tex]

[tex] \mathrm{ - \frac{4}{5} \div 2}[/tex]

[tex] \mathrm{dividing \: is \: equivalent \: to \: multiplying \: with \: the \: reciprocal}[/tex]

[tex] \mathrm{ - \frac{4}{5} \times \frac{1}{2} }[/tex]

[tex] \mathrm{reduce \: the \: numbers \: with \: G.C.F \: 2}[/tex]

[tex] \mathrm{ - \frac{2}{5} }[/tex]

Hope I helped!

Best regards!

The quotient of  -4 /5 divide 2 would be equal to -2/5 in simplified form.

Quotients are the number that is obtained by dividing one number by another number. We can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.

We have been given that  -4 /5 divide 2

Thus, we have to divide the terms as;

-4 /5   ÷ 2

Therefore,  -4 /5 x 1/ 2

-2/5

Hence, the quotient of  -4 /5 divide 2 would be equal to -2/5 in simplified form.

Learn more about the quotient;

brainly.com/question/26913992

#SPJ2

Answer:

Step-by-step explanation:

The formula you need to solve for angle x is:

∠x = 1/2(large arc - small arc)

We have enough info to find what we need to solve for the arcs. 58° is an inscribed angle. The rays of the angle cut off an arc on the circle and that arc measure is twice the measure of the angle. So the smaller arc is 58 * 2 = 116. Since around the outside of the circle measures 360°, then the larger arc measures 360 - 116 = 244. So the larger arc is 244. Filling in the formula to solve for the angle x:

∠x = 1/2(244 - 116) and

∠x = 1/2(128) so

∠x = 64

D is your answer.

Answer:

D.) 64

Step-by-step explanation:

I got it correct on founders edtell

Answer:

The correct option is a.

Step-by-step explanation:

The standard deviation of the sampling distribution of sample mean ([tex]\bar x[/tex]) is known as the standard error. It is denoted by [tex]\sigma_{m}[/tex].

The formula to compute the standard error is:

[tex]\sigma_{m}=\frac{\sigma}{\sqrt{n}}[/tex]

As the population standard deviation is divided by the square root of the sample size, the standard error can never be more than the population standard deviation, σ.

Also, since the population standard deviation is directly proportional to the standard error, the value of [tex]\sigma_{m}[/tex] is affected by the value of σ.

And since the sample size is inversely proportional to the standard error, the value of [tex]\sigma_{m}[/tex] decreases as the value of n increases.

The sample mean is a statistic, i.e. it represents a specific characteristic (here, the average) of the sample.

The standard deviation of any statistic measures the variability of the statistic.

So, the standard error measures the variability in sample means.

Thus, the correct option is a.

Answer:

The answer is $40.

Step-by-step explanation:

According to the equation given in the question, we can assume that 550 is constant and was there when Mai started saving into a checking account.

Then as x gets increased by 1 each week, the amount of change in the account per week is $40.

I hope this answer helps.

Answer:

Below

Step-by-step explanation:

● 11 + 4(x+ 2y + 4)

● 11 + 4x + 8y + 16

● 27 + 4x + 8y