How many sides does a polygon have if the sum of the interior angles is 2240
?

Answer:

C.

Step-by-step explanation:

Answer:

  1/2,

Step-by-step explanation: Please find the attached image of unit circle.

We have been given that the measure of angle t is 60 degrees. We are asked to find the x-coordinate of the point where the terminal side intersects the unit circle.

We know that x-coordinate on unit circle represents cosine and y-coordinate represents sine of a given angle.

We can see from our attachment that x-coordinate of the point at angle 60 degrees is , therefore, x-coordinate of the angle of 60 degrees, where the terminal side intersects the unit circle is .  

Answer:

Part A

W W W M W W T W W L W W

W W M M W M T W M L W M

W W T M W T T W T L W T

W W L M W L T W L L W L

W M W M M W T M W L M W

W M M M M M T M M L M M

W M T M M T T M T L M T

W M L M M L T M L L M L

W T W M T W T T W L T W

W T M M T M T T M L T M

W T T M T T T T T L T T

W T L M T L T T L L T L

W L W M L W T L W L L W

W L M M L M T L M L L M

W L T M L T T L T L L T

W L L M L L T L L L L L

Part B

There are 64 possible outcomes. The sample size is 64.

Part C

To find the probability that Erin drinks lemonade one day, tea one day, and water one day, consider all the cases in which L, T, and W occur one time. Because the order doesn't matter in this scenario, these six outcomes from the list represent the desired event: W T L, T W L, T L W, W L T, L W T, and L T W.

The size of the sample space is 64. So, the probability that Erin drinks lemonade one day, tea one day, and water one day is 3/32.

Part D

To find the probability that Erin drinks water on two days and lemonade one day, we consider all the cases in which two Ws and one L occur. Because the order doesn't matter in this scenario, these three outcomes from the list represent the event: W W L, W L W, and L W W.

The size of the sample space is 64. So, the probability that Erin drinks water two days and lemonade one day is 3/64

Step-by-step explanation:

Answer:

[tex]\%H = 8\%[/tex]

Step-by-step explanation:

Given

See attachment for table

Required

The percentage of historical

From the table, we have:

[tex]Historical = 2[/tex]

and

[tex]Total = 6+3+7+2+7[/tex]

[tex]Total = 25[/tex]

So, the percentage of historical is:

[tex]\%H = \frac{Historical}{Total} * 100\%[/tex]

This gives:

[tex]\%H = \frac{2}{25} * 100\%[/tex]

[tex]\%H = \frac{200\%}{25}[/tex]

[tex]\%H = 8\%[/tex]

Answer:

8%

Step-by-step explanation:

Answer:

The probability that I need to contact four people is 9.11%.

Step-by-step explanation:

Since I am looking for a student at my college who lives within five miles of me, and I know that 55 percent of the 25,000 students do live within five miles of me, and I randomly contact students from the college until one says he or she lives within five miles of me, to determine what is the probability that I need to contact four people, the following calculation must be performed:

0.45 x 0.45 x 0.45 = X

0.2025 x 0.45 = X

0.091125 = X

Therefore, the probability that I need to contact four people is 9.11%.

Answer:

2.40 ft I believe

Step-by-step explanation:

divide diameter by two

put 3.14 time diameter divided by two and square it

Answer:

There is a rule on how we find prime numbers.

Step-by-step explanation:

A clear rule determines exactly what makes a prime: it's a whole number that can't be exactly divided by anything except 1 and itself. But there's no discernible pattern in the occurrence of the primes.That's because, after the number 5, there are only four possibilities — 1, 3, 7, and 9 — for prime last digits

Answer:

10 cubes

Step-by-step explanation:

2.5 × 1 × 2 = 5 cm³

5 ÷ 0.5

10 cubes

Answer:

10 cubes

Step-by-step explanation:

1 × 2 × 2.5 = 5cm^3

5 ×× .5 = 10

so 10 cubes would fit

Answer:

The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that  fatigue does not significantly increase errors on an attention task at 0.05 significance level

Step-by-step explanation:

We formulate null and alternate hypotheses are

H0 : u1 < u2 against Ha: u1 ≥ u 2

Where u1 is the group tested after they were awake for 24 hours.

The Significance level alpha is chosen to be ∝ = 0.05

The critical region t ≥ t (0.05, 13) = 1.77

Degrees of freedom is calculated df = υ= n1+n2- 2= 5+10-2= 13

Here the difference between the sample means is x`1- x`2= 35-24= 11

The pooled estimate for the common variance σ² is

Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]

= 1/13 [ 120²+360²]

Sp = 105.25

The test statistic is

t = (x`1- x` ) /. Sp √1/n1 + 1/n2

t=   11/ 105.25 √1/5+ 1/10

t=  11/57.65

t= 0.1908

The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that  fatigue does not significantly increase errors on an attention task at 0.05 significance level

Answer:

C : Duane

Step-by-step explanation:

Your welcome

Answer:

Use rules of logarithms to expand.

2

log

3

(

x

)

−

4

−

4

log

3

(

y

)

Step-by-step explanation:

Answer:

YES, my friend is correct.

Step-by-step explanation:

Formula for the volume of the rectangular prism = Length*Width*Height

Length = 7 mm

Width = 4 mm

Height = 2 mm

Plug in the values

Volume = 7*4*2

Volume = 28*2

= 56 mm³

Therefore, my friend is correct.

Answer:

Option (a) is correct.

For given values a = 1 , b = -3 , c = -5 the quadratic equation is  

Step-by-step explanation:

Given : a = 1 , b = -3 , c = -5

We have to write the quadratic equation having a = 1 , b = -3 , c = -5 and choose the correct option.

The standard form of quadratic equation is  , where a, b, c are constant integers.

Given : a = 1 , b = -3 , c = -5

Then Substitute, we get,

Thus, the obtained quadratic equation is same as option (a)

Thus, For given values a = 1 , b = -3 , c = -5 the quadratic equation is

The equation for which a-value 1, ab-value -3 and ac-value -5 is 0=-3x-5+x².

Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations.

Here, a-value = 1,

        ab-value =  -3

        ac-value = -5

a = 1, b = -3, and c = -5

General Equation,

ax² + bx + c = 0

1x² + (-3)x + (-5) = 0

x² -3x -5 = 0

Thus, the equation for which a-value 1, ab-value -3 and ac-value -5 is 0= -3x -5 + x².

Learn more about Quadratic Equation from:

https://brainly.com/question/1863222

#SPJ2

Answer:

The slope is -4.5

The slope means that Elijah's phone battery will decrease by 4.5 percent each hour.

Step-by-step explanation:

In the equation y = mx + b, m is the slope.

The coefficient in the equation B = 27 – 4.5t is -4.5. This means that -4.5 is the slope of the equation.

In the context of this problem, the slope will represent the percent that Elijah's phone battery will decrease per hour.

So, the slope means that Elijah's phone battery will decrease by 4.5 percent each hour.

Answer:

2^7

Explanation:

You can add up the square of two and the square of five. This is the easiest way.

Answer:

The 90% confidence interval for the population mean length of nails produced by the machine.

(2.91562, 3.04438)

Step-by-step explanation:

Step:1

Given that the size of the sample 'n' = 10

Given that the mean of the sample (x⁻) = 2.98

Given that the standard deviation of the sample (s) = 0.09

Degrees of freedom = n-1 = 10 -1 = 9

t₀.₁₀ = 2.2621

Step:2

The 90% confidence interval for the population mean length of nails produced by the machine.

[tex](x^{-} - t_{9 , 0.10} \frac{S}{\sqrt{n} } , x^{-} + t_{9,0.10} \frac{S}{\sqrt{n} } )[/tex]

[tex](2.98 - 2.2621(\frac{0.09}{\sqrt{10} } , 2.98 + 2.262 \frac{0.09}{\sqrt{10} } )[/tex]

(2.98 - 0.06438 , 2.98 + 0.06438)

(2.91562 , 3.04438)

Final answer:-

The 90% confidence interval for the population mean length of nails produced by the machine.

(2.91562, 3.04438)

Answer:

1 1/2

Step-by-step explanation:

Answer:

$732

Step-by-step explanation:

Given

[tex]y \to profit[/tex]

[tex]x \to widgets[/tex]

[tex]y = -x^2 + 64x - 292[/tex]

Required

The maximum profit

First, we calculate the maximum amount of widgets that can be sold using:

[tex]x = -\frac{b}{2a}[/tex]

Where:

[tex]a = -1; b = 64; x = -292[/tex]

So, we have:

[tex]x = -\frac{64}{2 * -1}[/tex]

[tex]x = -\frac{64}{-2}[/tex]

[tex]x = -(-32)[/tex]

[tex]x = 32[/tex]

The maximum profit is:

[tex]y = -x^2 + 64x - 292[/tex]

[tex]y = -(32)^2 + 64 * 32 - 292[/tex]

Using a calculator, we have:

[tex]y = 732[/tex]

Answer:

2x + 5.8= 45.8

Step-by-step explanation:

8x + 6x + 5x + 3x = 440

combine like terms:

22x = 440

divide both sides of the equation by 22:

x = 20

2x + 5.8= 40 + 5.8 = 45.8

Answer:

y >= 4/3 x + 4

Step-by-step explanation:

First, we find the equation of the line.

y = mx + b

The y-intercept is 4, so b = 4,and we have

y = mx + 4

Now we find the slope using 2 points.

slope = m = (0 - 4)/(-3 - 0) = -4/(-3) = 4/3

The equation of the line is

y = 4/3 x + 4

The line is solid, so we will use >= or <=, but not > or <.

The shading is "above" the line, so the correct sign is >=.

Answer: y >= 4/3 x + 4

Answer:

The number [tex]\frac{225}{4}[/tex] is added to the polynomial below to complete the square.

Step-by-step explanation:

Perfect square binomial:

A perfect square binomial is given by:

[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]

In this question:

We have that:

[tex]a^2 + 2ab + b^2 = x^2 + 15x + ?[/tex]

Since [tex]a = x[/tex], we have that:

[tex]2ab = 15x[/tex]

[tex]2b = 15[/tex]

[tex]b = \frac{15}{2}[/tex]

Completing the square:

The term that completes the square is [tex]b^2[/tex]. So

[tex]b^2 = (\frac{15}{2})^2 = \frac{225}{4}[/tex]

The number [tex]\frac{225}{4}[/tex] is added to the polynomial below to complete the square.

9514 1404 393

Answer:

  (c)  (10, 2)

Step-by-step explanation:

Adding the two equations, we have ...

  (d +e) +(-d +e) = (12) +(-8)

  2e = 4

  e = 2 . . . . . . matches choice C

  (d, e) = (10, 2)

Answer:

Step-by-step explanation:

Given that:

To Label:

Adding equation (i) and (ii).

⟶ d + e + (- d + e) = 12 + (- 8)

⟶ d + e + - d + e = 12 - 8

Cancelling d.

⟶ 2e = 4

⟶ 2e = 2 × 2

Cancelling 2.

⟶ e = 2

In equation (i)

⟶ d + e = 12

Putting the value of e.

⟶ d + 2 = 12

⟶ d = 12 - 2

⟶ d = 10

Hence,

Answer:

An equilateral is always an isosceles triangle.

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

if you multiply 6 by 8 and subtracted by 3 it will equal 45

Answer:

x=38

Step-by-step explanation:

First, know that the sum of the angles in a triangle is 180.

Then, add the angles. 2x+38+x+x-10.

Make them equal to 180.

2x+38+x+x-10=180

Simplify.

4x+28=180

Subtract 28 from 180.

4x=152

Divide 4 from 152 to make x alone.

x=38

There you go!

Please mark brainliest!

Answer:

15

Step-by-step explanation:

You have to find the total number of crayons whcih will be 21.

Then you do 21-6 ( red pencil) to get 15

15 pencil not read.

Answer:

163.67 ( I )

Step-by-step explanation: