Find the mean of this data set
(Show your work)

Answer:  Choice B.  3√2

This is the same as writing 3sqrt(2) or [tex]3\sqrt{2}[/tex]

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Reason:

For any complex number of the form [tex]z = a+bi[/tex], the absolute value or magnitude of it is [tex]|z| = \sqrt{a^2+b^2}[/tex]

In this case, we have [tex]a = -4 \text{ and } b = -\sqrt{2}[/tex]

So,

[tex]|z| = \sqrt{a^2+b^2}\\\\|z| = \sqrt{(-4)^2+(-\sqrt{2})^2}\\\\|z| = \sqrt{16+2}\\\\|z| = \sqrt{18}\\\\|z| = \sqrt{9*2}\\\\|z| = \sqrt{9}*\sqrt{2}\\\\|z| = 3\sqrt{2}\\\\[/tex]

If we formed a segment with the endpoints [tex](0,0) \text{ and } (-4, -\sqrt{2} )[/tex], then that segment will have length of the value mentioned above.

Side note: This formula or concept is related to the pythagorean theorem.

Radius is the length of the line segment from the center of the circle to an endpoint on the circle and diameter is twice the length of the radius of the circle.

Answer:

(33+7)-(15/3) = 35

Step-by-step explanation:

35

Step-by-step explanation:

fancy way of saying (33+7) - (15/3)

33 + 7 = 40

15 / 3 = 5

40 - 5 = 35

Answer:

b

Step-by-step explanation:

to find the answer to this you sould divide the amount of pints by the number of bottles

18/8

which is also 2 2/8

so the answer is b

The statements about the octagon that are true are:

This is known to be a kind of 2D shape object that is said to be made up of eight-sided polygon.

Note that when one measure the central angle, ∠zxw, as 45° it will therefore holds true for an octagon true shape and as such the two options above are correct.

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Answer:

its C and E my friend

Step-by-step explanation:

i took the test

yw :)

hope i helped/ made life easier

Answer:

7 hours and 30 minutes

Step-by-step explanation:

because if you divide the 5 hours by the 2 people you get 2 hours and 30 minutes so if you add one more person you are basically adding 2 hours and 30 minutes so if u add that 2 hours and 30 minutes to the 5 hours you will get 7 hours and 30 minutes

Answer:

a) 20r + 20w = 500, 10r + 35w = 500

b) r = 15, w = 10

c) 900 calories

Explanation:

Let running time be r, walking time be w

a) Hence, make equation's:

20r + 20w = 500... equation 1

10r + 35w = 500... equation 2

b) Determine the value of the variables by solving simultaneously.

⇒ (500 - 20w)/20 = (500 - 35w)/10

cross multiply

⇒ 10(500 - 20w) = 20(500 - 35w)

multiply

⇒ 5000 - 200w = 10000 - 700w

shift sides

⇒ -200w + 700w = 10000 - 5000

simplify

⇒ 500w = 5000

divide both sides by 500

⇒ w = 10

Now find the value of variable r,

⇒ r = (500 - 20w)/20

insert w = 10

⇒ r = (500 - 20(10))/20

simplify

⇒ r = 15

Hence the value of r is 15 and w is 10

c) Find calories burnt after one hours of running:  [1 hours = 60 minutes]

calories = 60r = 60(15) = 900 calories

Hence, he can burn 900 calories after one hours of running.

Step-by-step explanation:

sin60 =opp/hyp

0.86=y/20

y=17.2

cos60=adj/hyp

0.5=x/20

x=10

sin57=y/15

0.83=y/15

y=12.45

Let's consider all the trig identities, to help us with the problem:

   ⇒ (look at the attached image for help with that)

After looking at all the trig identity, let's look at the problem given to us:

 ⇒ cos(θ) = [tex]\frac{5}{13}[/tex]

    ⇒ we know that sec(θ) = 1 / cos(θ) = 1 / (5/13) = 13/5

Thus: sec(θ) = 13/5, which just so happens to be Choice (D)

Answer: sec(θ) = 13/5 or Choice (D)

Hope that helps!

Based on the calculations, the measure of angle YUV is equal to 42°.

A line segment refers to a part of a line that is bounded by two (2) distinct points and it has a fixed length.

Based on the information given, we can deduce the following:

From triangle UOV, we have:

∠OUV + ∠OUV + ∠UOV  = 180°

2OUV + 84 = 180

2OUV = 180 - 84

2OUV  = 96

OUV  = 96/2

OUV  = 48°

Now, we can determine the measure of angle YUV:

∠YUV = ∠YUO - ∠OUV

∠YUV = 90 - 48

∠YUV = 42°.

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Answer:

42

Step-by-step explanation:

Problem 16

Work Shown:

[tex]2ax - 5x = 2\\\\x(2a - 5) = 2\\\\x = \frac{2}{2a-5}\\\\[/tex]

I factored out x, then divided both sides by (2a-5)

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Problem 17

Work Shown:

1 yard = 3 feet

1/3 yard = 1 foot

x/3 yards = x feet

In the second step, I divided both sides by 3. Afterward, I multiplied both sides by x.

#16

Option C

#17

So

Based on the amount that Rosetta sells her house and the mortgage she had before she did, the amount she will recieve is $50,000.

Rosetta owes a total of $150,000 for her mortgage payment and was able to sell the house for $200,000.

This means that the amount she will recieve is:

= Selling price - Mortgage

= 200,000 - 150,000

= $50,000

In conclusion, option B is correct.

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Answer:

B. $50,000

Step-by-step explanation:

Answer:

288.000567018 or [tex]3(32x^{3} +\frac{3.8}{126980})[/tex]

Step-by-step explanation:

hope this helps

pls mark brainliest

Answer:

difference between town A and town B is 5.4 deg. celcius

Step-by-step explanation:

I added each row and divided by 5 to get the average for A and B

I subtracted the average

see attached picture showing the math

Answer:

a=b-44y

Step-by-step explanation:

a=b-44y

Answer:

Medical Insurance

Step-by-step explanation:

Answer:

Medical Insurance

Step-by-step explanation:

serious car accident and broke both wrists.

Answer:

908

Step-by-step explanation:

879+29=908

The value of cot x/2 is √3/√5.

Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations.

given:

cos x=-1/4

sin x= √15/4

cosec x= 4/√15

and, cot x= -1/√15

Now, cot x/2= cosec x+ cot x

= 4/√15-1/√15

= 3/√15

= √3/√5

Hence, the value of cot x/2 is  √3/√5.

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diameter= 13 cm

the circumference of the given circle.

[tex]c = \pi \: d[/tex]

[tex]c = 3.142 \times \: d[/tex]

[tex]c = 3.142 \times 13[/tex]

[tex]c = 40.846 \: cm[/tex]

hence, the circumference of the given circle is 40.846 cm

First, we'll have to change the diameter to radius by dividing the diameter by 2.

[tex]\large\boxed{Formula: r= \frac{d}{2}}[/tex]

So we'll have to divide 13 by 2.

Substitute the values according to the formula.

[tex]r= \frac{13}{2}[/tex]

[tex]\bold{6.5 \: cm}[/tex]

Now, we can find the circumference.

[tex]\large\boxed{C= 2\pi{r}}[/tex]

Substitute the values according to the formula.

[tex]C= 2\times\pi\times6.5[/tex]

Calculate value:

[tex]\large\boxed{C= 40.8407045 \: cm}[/tex]

Therefore, the circumference of the given circle is 40.8407045 centimeters.

The dimensions of the rectangle Michael should draw is given by: C. 4 units by 4 units.

A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.

In this scenario, the rectangle would be drawn to touch the parallelogram at its four vertices (A, B, C, and D). Also, this would lie outside the parallelogram with the formation of four (4) right-angle triangles.

Therefore, the dimensions of the rectangle Michael should draw is given by:

Dimension = 4 × 4 units.

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Answer:

option C

Step-by-step explanation:

Answer:

A parameter is a numerical description of a population characteristic

Step-by-step explanation:

A parameter is a numerical description of a population characteristic

The percent of change in the number of points she scored between the first and second tests  = 4.878 %

If the data is decreasing,

Decrease = Original Number - New Number.

Then: divide the decrease by the original number and multiply the answer by 100.

% Decrease = Decrease ÷ Original Number × 100.

Given that:

The score of first Math test = 82

The score of second Math test = 78

Changes occurs in marks by=78-82

                                               =-4

So, there is decrease in marks.

We have to find the decrease percentage:

Decrease%= [tex]\frac{change \;in \;value}{Original\; value} *100[/tex]

                   = [tex]\frac{4}{82} *100[/tex]

                   = 0.04878 * 100

                  = 4.878 %

There is 4.88% decrease in Olivia's score.

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Answer:

[tex]let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan(16.8) = \frac{2.7}{x} \\ x = \frac{2.7}{0.30 } \\ x = 9 \\ now \: by \: using \: pythagoras \: theorem \: \\ h = \sqrt{p {}^{2} } + b {}^{2} \\ h = \sqrt{ {2.7}^{2} } + {9 }^{2} \\ h = 9.396[/tex]

Answer:

A) x=5

The sideways line is always x, and the line going up is y, so since the line is only touching the x-intercept you just count where the line is, so x=5

Step-by-step explanation:

Answer:

Associative Property of Addition

Step-by-step explanation:

Associative Property of Addition:

For any real numbers a, b, and c, (a + b) + c = a + (b + c).

Answer:

Commutative Property of Addition

Step-by-step explanation:

Answer:

After 31 months, Desmond first have enough money to purchase a used car.

Step-by-step explanation:

Since we have given that

Saving per month for a used car = $25

Each month he is able to save = $5 more than the previous month

If we have $3000 to purchase a used car.

So, we need to find the number of months Desmond to have enough money.

Our sequence will be

25,30,35,..............3000

So, it becomes,

Months can't be negative, So,

n = 31 months.

Hence, After 31 months, Desmond first have enough money to purchase a used car.

Answer:

C. 31

Step-by-step explanation:

20f - 4 (5f + 4) + 16

= 20f - 20f - 16 + 16

= 0

Answer:

0

Step-by-step explanation:

Distribute terms in the parentheses