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Select the expression that represents the following statement: The sum of 6 and 8 multiplied by 4.

Answer:

x = 44.5 due to the Triangle Angle Sum Theorem

Step-by-step explanation:

This is the Triangular Angle Sum Theorem.

This rule states that every angle inside the triangle has to equal 180.

This is a solve for x situation

2x + x + x + 2 = 180

Add all the x's first

3x + x + 2 = 180

4x + 2 = 180

Now subtract 2 both sides

4x = 180 -2

4x = 178

Divide 178 by 4

x = 44.5

You could verify by plugging 44.5 into the x's

2(44.5) + 44.5 + 44.5 + 2 = 180

89 + 44.5 + 46.5 = 180

Answer:

x = 44.5

Step-by-step explanation:

2x + x + (x+2) = 180

4x + 2 = 180

4x = 178

x = 44.5

Just saw your last comment :)

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For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as

Generally, the equation for the Confidence interval is mathematically given as

p ± Z/2[p(1-p)]/n

Where

Z1/2=1-(0.05/2)

Z1/2=0.975

Read z table we have

Z score= 1.96

Hence

0.4907 ± 1.96 (0.4907)(1-0.4907)/485

0.4907±0.0445

Therefore

95% confidence interval = (0.5352, 0.4462)

b)

Z1/2 = 1- (0.05/2)

Z1/2 = 0.975

Z score= 1.96

0.3159 ± 1.96 (0.3159)(1-0.3159)/1184

0.3159±0.0265

Thereofore

95% confidence interval = (0.3424, 0.2894)

c)

In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.

Read more about Confidence interval

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Answer:

Step-by-step explanation:

Inscribed angle of diameter is 90°

⇒ ∠ACB = 90°

In ΔACB,

∠A + ∠ B + ∠ACB = 180°   {Angle sum property of triangle}

a + 4a + 90 = 180

      5a + 90 = 180

           5a    = 180 - 90

            5a = 90

              a = 90 ÷ 5

a = 19 -----------(I)

In ΔCOB,

OC = OB   {Radius}

⇒ΔCOB is an isosceles triangle.

c = 4a    {angles opposite to equal angles are conguent}

c = 4*19    {From (I)}

c= 76

Answer:

c.  0.219

Step-by-step explanation:

If the coin is fair, then the probability of flipping a head is 1/2 = 0.5

Therefore, we can model this as a binomial distribution:

X ~ B(n, p) where n is the number of events and p is the probability of success

Given:

X ~ B(8, 0.5)

Using a calculator:

P(X = 5) = 0.21875 = 0.219 (3 dp)

Using the formula:

[tex]\sf P(X=x)=\dfrac{n!}{(n-x)!x!}p^x(1-p)^{n-x}[/tex]

(where n is the number of events, x is the number of desired successes and p is the probability of success)

[tex]\sf \implies P(X=5)=\dfrac{8!}{(8-5)!5!}0.5^5(1-0.5)^{8-5}[/tex]

[tex]\sf \implies P(X=5)=\dfrac{8!}{3!5!}0.5^50.5^3[/tex]

[tex]\sf \implies P(X=5)=56 \cdot 0.5^8[/tex]

[tex]\sf \implies P(X=5)=56 \cdot \dfrac{1}{256}[/tex]

[tex]\sf \implies P(X=5)=\dfrac{7}{32}[/tex]

[tex]\sf \implies P(X=5)=0.21875[/tex]

Step-by-step explanation:

Using the section formula , if a point ( x , y ) divides the line joining the points ( x1 , y1 ) and ( x2 , y2 ) into the ratio m : n , then

( x , y ) = ( mx2 + nx1 / m + n , my2 + ny1 / m + n)

Let the points be A(-8,−2) and B(6,19). Let a point P(x,y) divides AB in the ratio 5:2

Therefore, we have

[tex]P(x,y) =( \frac{5 \times 6 + 2 \times - 8}{5 + 2} , \: \frac{5 \times 19 + 2 \times - 2}{5 + 2}) [/tex]

[tex]P(x,y) = ( \frac{30 + ( - 16)}{7} , \: \frac{95 + ( - 4)}{7} )[/tex]

[tex] P(x,y) = (2, 13)[/tex]

Answer:

(2, 13)

Step-by-step explanation:

Let P be the point that partitions the segment.

Let M = (-8, -2)

Let N = (6, 19)

If point P partitions the segment MN in a 5 : 2 ratio, then to calculate the x and y values of point P:

x-value of P:

[tex]\sf \implies \left(\dfrac{x_N-x_M}{5+2}\right)\cdot5+x_N[/tex]

[tex]\sf \implies \left(\dfrac{6-(-8)}{5+2}\right)\cdot5+(-8)=2[/tex]

y-value of P:

[tex]\sf \implies \left(\dfrac{y_N-y_M}{5+2}\right)\cdot5+y_N[/tex]

[tex]\sf \implies \left(\dfrac{19-(-2)}{5+2}\right)\cdot5+(-2)=13[/tex]

[tex]\sf P=(2,13)[/tex]

Answer:

6.1291 < 8.3 < 8.308 < 8.38

Step-by-step explanation:

Start by looking at the whole numbers.

6 < 8

Since the only whole numbers are 6 and 8, we can rule out that the smallest number, or with the least value, is 6.

Next, look at the tens place.

Since they are all 8.3--, we cannot find the next one until we look at the hundredths place.

Next, look at the hundredths place.

Keep in mind that 8.3 is the same as 8.300

There is 8.30 < 8.38 and 8.308 <8.380

Now we know the lowest value and the highest value! (6.1291 and 8.38)

Between the last two, let's figure out where they place

Look at the thousandths place.

8.300 < 8.308

Hence, the answer provided above!

6.1291  < 8.3 < 8.308 < 8.38

Hope this helps! :)

This is because there's one space labeled "2" out of 38 spaces total.

This fraction is approximately equal to 1/38 = 0.0263 meaning there's roughly a 2.63% chance of landing on this space.

The probability is 0.0263 that the ball will land on 2 in a random spin of the wheel.

The probability is defined as the possibility of an event is equal to the ratio of the number of outcomes and the total number of outcomes.

Assuming an unbiased wheel.

The probability of an event = number of favourable outcomes/ number of total outcomes.

The total number of outcomes is 38

The number of favourable outcomes is one because there's one space labeled "2" out of 38 spaces total.

The probability of an event = 1/38 = 0.0263

Hence, the probability is 0.0263 that the ball will land on 2 in a random spin of the wheel.

Learn more about probability

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Answer: 7

Step-by-step explanation:

10/10 pieces of chalk

2/10 are pink

1/10 is blue

——————

So in total

3/10 are not white

The remaining 7 are white

Answer:

7

Step-by-step explanation:

10-1(blue)=9

2/10*10=2

9-2=7

9. The rational number that is equal to its negative is zero (0)

10. [tex]\sf \dfrac{1}{3} ( 6 \ * \ \dfrac{4}{3} )[/tex] can be written as [tex]\sf ( \dfrac{1}{3} *6)*\dfrac{4}{3}[/tex]   using associate property.

associative property is when numbers are changed within the parenthesis with out the change in result.

formula of associative property : a(bc) = (ab)c

Answer:

(3x2 + 3x - 1) • (x + 2)

Step-by-step explanation:

3.4 Polynomial Long Division

Dividing : 3x3+9x2+5x-2

("Dividend")

By : x+2 ("Divisor")

dividend 3x3 + 9x2 + 5x - 2

- divisor * 3x2 3x3 + 6x2

remainder 3x2 + 5x - 2

- divisor * 3x1 3x2 + 6x

remainder - x - 2

- divisor * -x0 - x - 2

remainder 0

Quotient : 3x2+3x-1 Remainder: 0

Answer:26 + 15i

Step-by-step explanation: 26+ 15i is the answer because i did the assignemnt

Answer:

18 units

Step-by-step explanation:

Area = length * width (A = L * w)

So, in order to find the length when given the width and area, you have to divide the area by the width.

432 / 24 = 18

I hope this helps! Have a lovely day!! :)

By using Euler's notation, we will see that:

z^7 = 78,125*e^(-i*4.48)

We know that:

z = 4 - 3i

Remember that for a complex number:

w = a + bi

In Euler's notation, we can write this as:

w = √(a^2 + b^2)*e^(i*Atan(b/a))

Then, for z, we will get:

z =  √(4^2 + (-3)^2)*e^(i*Atan(-3/4))

z = 5*e^(-i*0.64)

Now, if we apply an exponent of 7 to this number, we will get:

z^7 = ( 5*e^(-i*0.64))^7

z^7 = 5^7*e^(-i*7*0.64) = 78,125*e^(-i*4.48)

If you want to learn more about complex numbers, you can read:

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Answer:

x=6 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{5}{6}}x+\cfrac{7}{6}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we can say that

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{5}{6}} ~\hfill \stackrel{reciprocal}{\cfrac{6}{5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{6}{5}}}[/tex]

so we're really looking for the equation of a line with a slope of -6/5 and that passes through (-8 , 9)

[tex](\stackrel{x_1}{-8}~,~\stackrel{y_1}{9})\qquad\qquad \stackrel{slope}{m}\implies -\cfrac{6}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{-\cfrac{6}{5}}(x-\stackrel{x_1}{(-8)})\implies y-9=-\cfrac{6}{5}(x+8) \\\\\\ y-9=-\cfrac{6}{5}x-\cfrac{48}{5}\implies y=-\cfrac{6}{5}x-\cfrac{48}{5}+9\implies y=-\cfrac{6}{5}x-\cfrac{3}{5}[/tex]

Answer:

1.7

Step-by-step explanation:

25.5 divided by 15

Total deduction

Now

Earnings after deduction

Total hours:-

You will have to work 110.5 hours to buy the new computer.

A tax is some specific financial amount or some other charged taxpayer by the government in order to fund government spending.

Given is that you have to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00. If you are paid $10.00/hour and your deductions are -

FICA (7.65%),

Federal tax withholding (12%)

State tax withholding (8%).

Total money earned after all the deductions -

A{n} = 10 - {7.65% of 10 + 12% of 10 + 8% of 10}

A{n} = 10 - {7.65/100 x 10 + 12/100 x 10 + 8/100 x 10}

A{n} = 10 - {7.65/10 + 12/10 + 8/10}

A{n} = 10 - 2.765

An = 7.235

Cost of new computer = $800.

For 1 hour. you earned $7.235.

Then, you will earn $1 in (1/7.235) hours

So, you will earn $800 in (1/7.235 x 800) = 110.5

Therefore, you will have to work 110.5 hours to buy the new computer.

To solve more questions on tax cuts , visit the link

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Answer:

Option D is correct

The answer is 42 square unit.

Step-by-step explanation:

Now,

A = ½ (a + b) × h

A = ½ (9 + 12) × 4

A = (21) × 2

A = 42 square unit

Thus, The estimated area of the Trapezoid is 42 square unit.

-TheUnknownScientist 72

Answer:

6 containers

6 ounces of fruit snack will be left over

Step-by-step explanation:

1 pound = 16 ounces

⇒ ¹/₂ pound = 8 ounces

Total weight = weight of dried apples + weight of dried cranberries

                     = 36 + 18

                     = 54 ounces

Containers needed = total weight ÷ weight of snacks in one container

                                 = 54 ÷ 8

                                 = 6.75

Therefore, he will fill 6 containers

Snack left over = total weight - (number of containers × weight of snacks one container will hold)

                          = 54 - (6 × 8)

                          = 54 - 48

                          = 6 ounces

Answer:

3 US galloons

Answer:

1360 seats sold

Step-by-step explanation:

total seats = 1600

total seats sold = 85% of 1600

= 85/100 × 1600

= 85 × 16

= 1,360 seats sold

1. 1 and -1 are two such rational numbers whose multiplicative inverse is same as they are.

2. absolute value is resembled using the formula : |x|

Here,

[tex]\hookrightarrow \sf |\dfrac{-3}{11} |[/tex]

[tex]\hookrightarrow \sf \dfrac{3}{11}[/tex]

final answer: 3/11

3.

[tex]\hookrightarrow \sf \dfrac{1}{2} \div \dfrac{3}{5}[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{2} * \dfrac{5}{3}[/tex]

[tex]\hookrightarrow \sf \dfrac{5}{6}[/tex]

4.

Associative property can only be used with addition and multiplication

Answer:

16,

Step-by-step explanation:

1) Put numbers in ascending order

15, 16, 17, 17, 19, 19, 23, 24

2) Find the middle numbers use n+1/2

n = the amount of numbers in the sequence

8+1/2 = 4.5

3) The answer is 18 because that's the number between 17 and 19

Answer:

Me thinks its 18

Answer:

The total number of voters = 10725

Step-by-step explanation:

The total number of votes cast was 5 + 8

The no votes ratio is 8/ 13

This question is a a proportion question.

A proportion question is 2 ratios equal to other. Three of the parts of the ratios are known and you are asked to find the fourth. In this question the no votes are known to be 8 and the total is 13.

The total no votes = 6600. So the three parts are known are

8/13 = 6600/x               Cross multiply

8x = 13*6600                Combine the right.

8x = 85800                   Divide by 8

8x/8 = 85800/8            

x = 10725

The total number of voters = 10725

Answer:

i do not understand the questions

Step-by-step explanation:

Answer:

the answer is 60

Step-by-step explanation:

brainliest please

Answer:

B.)   I'm not 100% sure

Step-by-step explanation:

Hope this helped

Splitting the rectangle in half creates two right triangles

The value of tan(x) is 4/3

To calculate tan(x), we make use of the following tangent ratio

tan(x) = Opposite/Adjacent

From the figure, we have:

Opposite = AD = 4

Adjacent = CD = 3

So, we have:

tan(x) = 4/3

Hence, the value of tan(x) is 4/3

Read more about tangent ratio at:

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Answer:

4/3

Step-by-step explanation:

Answer: See attached

Step-by-step explanation:

     Coordinate points come in (x, y) so we graph them as so.

(4, 1) - Starting at (0, 0), also known as the origin, move four units right and one unit up. Plot point A here.

(5, 4) - Starting at (0, 0), also known as the origin, move five units right and four units up. Plot point B here.

(9, 4) - Starting at (0, 0), also known as the origin, move nine units right and four units up. Plot point C here.

(9, 1) - Starting at (0, 0), also known as the origin, move nine units right and nine units up. Plot point D here.

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

You can think of this "something" as a variable, which is x

So:

5x = 1

Divide both side by 5:

x = 1/5