The measures of the exterior angles of a pentagon are in a ratio of 1:23:4:5. The measure of the largest exterior angle is
Select one:
a. 120
b. 48
c. 24
d. 72

Answer:

A.

[tex]{ \tt{f(x) = - 4 {x}^{2} + 9x }}[/tex]

Step-by-step explanation:

[tex]{ \tt{f(x) = x( - 4x + 9)}}[/tex]

Answer:

it's easy you need to do 6%×4 it's 24%

Answer:

-x - 13

Step-by-step explanation:

5(x-4) + 3x - 9x + 7

First we use the distributive property to remove the parenthesis

5x -20 + 3x - 9x + 7

then we combine the like terms

-x - 13

Step-by-step explanation:

you have to type shift an cos button together at one time and then write 0.35 youwill get answer

9514 1404 393

Answer:

  250

Step-by-step explanation:

Let 'a' represent the number of adult tickets.

  a +(a -73) = 427

  2a = 500 . . . . . add 73

  a = 250 . . . . . . divide by 2

250 adult tickets were sold.

_____

Additional comment

I call this a "sum and difference problem" because we are given the total of two values and the difference between them. As you can see here, the larger of the two values is the average of the given numbers, their sum divided by 2. This is the generic solution to such a problem: the larger number is the average of the given sum and difference.

Answer:

Yes

Step-by-step explanation:

Using the commutative property (a + b = b + a), we can easily calculate that 12 + 2x is equal to 2x + 12.

Answer:

GP=ar^{n-i}

a=1

r=8/1=8

GP=8^(5-1)

GP=8^4

5th term=4096

Answer:

B could be used to show the formula to describe the sentence

Answer:

1/4 ÷ 3/8 = 2/3

Step-by-step explanation:

When dividing fractions, you have to take the reciprocal of the second fraction, then multiply from there. The reciprocal of a fraction is basically flipped. So then, 1/4 ÷ 3/8 becomes 1/4 x 3/8. Multiplying fractions should be pretty straight forward as you just need to multiply numerator (top number of a fraction) with numerator and vice versa for the denominators (bottom number of a fraction).

So then you get: (1 x 8)/(3 x 4) = 8/12. Then you just simplify it by dividing the numerator and denominator by their greatest possible factor, which in this case is 4. So then, (8 ÷ 4)/(12 ÷ 4) = 2/3.

Line geometry are caused from the intersection of two line. The measure of angle x from the diagram is 110degrees

Line geometry are caused from the intersection of two lines. From the given figures, you can see that <KOH and <IOK forms a linear pair, hence;

<KOH + <IOK = 180

110 + <IOK = 180
<IOK = 180 - 110
<IOK = 70 degrees

Similarly <x and MIOK are linear pair pair such that <x + 1<IOK = 180
<x + 70 =180
<x = 180 - 70
<x = 110degrees

Hence the measure of angle x from the diagram is 110degrees

Learn more on line geometry here: https://brainly.com/question/7098341

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Answer:

<IOK = 70 degrees

<x and <IOK form a linear pair, so m<x is = 110

Step-by-step explanation:

i did it on khan and got it right, i hope your day goes well and you get all your other questions right :)

Answer:

a

Step-by-step explanation:

The correct answer is option C which is the graph of the equation ( x-1 )² + ( y+ 2 )² = 4 will be the circle in the third and the fourth quadrant.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

Given equation is ( x-1 )² + ( y + 2 )² = 4

The graph of the equation is attached with the answer below when we plot the graph we will get the circle that is lying in the third and the fourth quadrant.

Therefore the correct answer is option C which is the graph of the equation ( x-1 )² + ( y+ 2 )² = 4 will be the circle in the third and the fourth quadrant.

To know more about graphs follow

https://brainly.com/question/25020119

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Answer:

139 ( D )

Step-by-step explanation:

Interest rate on loan = 4% = 0.04

Number of payments = 15

First 10 payments = 100 each

last 5 payments = 200 each

Calculating the value of K

K = [ ( 100 / 0.04 * ( 1-1 / 1.04^10 ) + 200/0.04 * ( 1-1 / (1 +0.04)^5)*  1 /1.04^10)

*  1.1 - 100 / 0.04 * ( 1-1 / (1+0.04)^5 ) - 200/0.04 * (1-1 /1.04^5) * 1/1.04^10)*0.04 / ( 1-1 / 1.04^5) * (1 + 0.04)^5

= 138.6051 ≈ 139

9514 1404 393

Answer:

  C  ∛((x+2)/5) -3

Step-by-step explanation:

To find the inverse function, solve for y:

  x = f(y)

  x = 5(y +3)³ -2 . . . . . . substitute f(y)

  x +2 = 5(y +3)³ . . . . . add 2 -- already you know C is the answer

  (x +2)/5 = (y +3)³ . . . . divide by 5

  ∛((x +2)/5) = y +3 . . . . take the cube root

  ∛((x +2)/5) -3 = y . . . . subtract 3

  f^-1(x) = ∛((x +2)/5) -3 . . . . matches expression C

Answer:

Step-by-step explanation:

Answer:

Given that the equation of a circle is :

[tex] \green{ \boxed{\boxed{\begin{array}{cc} {x}^{2} + {y}^{2} = 6x - 8y \\ = > {x}^{2} + {y}^{2} - 6x + 8y = 0 \\ = > {x}^{2} + {y}^{2} + 2 \times ( - 3) \times x + 2 \times 4 \times y = 0 \\ \\ \sf \: standard \: equation \: o f \: circle \: is : \\ {x}^{2} + {x}^{2} + 2gx + 2fy + c = 0 \\ \\ \sf \: by \: comparing \\ \\ g = - 3 \\ f = 4 \\ c = 0 \\ \\ \sf \: radius \: \: r = \sqrt{ {g}^{2} + {f}^{2} - c } \\ = \sqrt{ {( - 3)}^{2} + {4}^{2} - 0 } \\ = \sqrt{9 + 16} \\ = \sqrt{25} \\ = 5 \: unit \\ \\ \bf \: area \: = \pi {r}^{2} \\ = \pi \times {5}^{2} \\ =\pink{ 25\pi \: { unit }^{2} }\end{array}}}}[/tex]

Answer:

431.2

Step-by-step explanation:

Area of a regular polygon = # of sides * side length of 1 side * apothem

We want to find the area of a regular polygon with 7 sides, an apothem of 8 meters, and a side length with 7.7 meters

So # of sides = 7

apothem = 8

side length = 7.7

so the area would equal 7 * 8 * 7.7 = 431.2

It says to round to the nearest tenth however 431.2 is already rounded to the nearest tenth

Answer:

That answer ^ is incorrect. The correct answer ( in acellus that is ) is 2

15.6

Step-by-step explanation:

Answer:

2116.8 in^3

Step-by-step explanation:

V = l*w*h

All the units need to be the same

Convert 1.4 ft to inches

1.4 ft * 12 inches/ ft = 16.8 inches

V = 14 * 16.8  * 9

   = 2116.8 in^3

Let X be the random variable representing the amount (in grams) of nicotine contained in a randomly chosen cigarette.

P(X ≤ 0.37) = P((X - 0.954)/0.292 ≤ (0.37 - 0.954)/0.292) = P(Z ≤ -2)

where Z follows the standard normal distribution with mean 0 and standard deviation 1. (We just transform X to Z using the rule Z = (X - mean(X))/sd(X).)

Given the required precision for this probability, you should consult a calculator or appropriate z-score table. You would find that

P(Z ≤ -2) ≈ 0.0228

You can also estimate this probabilty using the empirical or 68-95-99.7 rule, which says that approximately 95% of any normal distribution lies within 2 standard deviations of the mean. This is to say,

P(-2 ≤ Z ≤ 2) ≈ 0.95

which means

P(Z ≤ -2 or Z ≥ 2) ≈ 1 - 0.95 = 0.05

The normal distribution is symmetric, so this means

P(Z ≤ -2) ≈ 1/2 × 0.05 = 0.025

which is indeed pretty close to what we found earlier.

Answer:

19 bags of peanuts and 31 bags of pistachios

The scatterplot is below.

I used GeoGebra to make the scatterplot. Though you could use other tools such as Excel or Desmos, or lots of other choices.

Side note: I'm not sure why, but you repeated the point (0.7,1.11) three times.

Answer:

38 ft²

Step-by-step explanation:

The shape consists of a rectangle and two triangles.

Area of the shape = area of rectangle + area of the two triangles

✔️Area if the rectangle = L × W

L = 8 + 2 = 10 ft

W = 3 ft

Area of rectangle = 10 × 3 = 30 ft²

✔️Area of the large triangle = ½ × bh

b = 4 ft

h = 3 ft

Area of large triangle = ½ × 4 × 3 = 6 ft²

✔️Area of the small triangle = ½ × bh

b = 2 ft

h = 2 ft

Area of large triangle = ½ × 2 × 2 = 2 ft²

✅Area of the shape = 30 + 6 + 2 = 38 ft²

Answer:

same

Step-by-step explanation:

Answer:

Reject H0 ; and conclude that call length does not follow a normal distribution.

Step-by-step explanation:

Given :

The hypothesis :

H0: Call lengths outside normal customer roaming areas follows normal distribution

H1: Call lengths outside normal customer roaming areas do not follows normal distribution

Mean, μ = 14.3

Standard deviation, σ = 3.7

From the frequencies Given :

Expected values can be calculated :

Observed values :

16, 75, 139, 105, 37, 18 ; Total = 400

P(Z < (x - μ) / σ)) * total frequency

x = frequency

For x = 5 ;

P(Z < (5 - 14.3) / 3.7)) * 400 = 2.391

For x = 10;

P(Z < (10 - 14.3) / 3.7)) * 400 = 46.644

For x = 15;

P(Z < (15 - 14.3) / 3.7)) * 400 = 180.960

For x = 20;

P(Z < (20 - 14.3) / 3.7)) * 400 = 145.32

For x = 25;

P(Z < (25 - 14.3) / 3.7)) * 400 = 23.92

For x = 30;

P(Z < (30 - 14.3) / 3.7)) * 400 = 0.766

χ² = Σ(O - E)²/E

O = observed values

E = Expected values

χ² = (26-2.391)^2 / 2.391 + (75-46.644)^2 / 46.644 + (139-180.96)^2 / 180.96 + (105-145.32)^2 / 145.32 + (37-23.92)^2 / 23.92 + (18-0.766)^2 / 0.766 = 666.17

χ² = 666.17

The critical value "; df = n - 1= 6-1 = 5

α = 0.05

χ²critical(0.05 ; 5) = 11.07

χ²statistic > χ²critical ; Reject the Null, H0 ; and conclude that call length does not follow a normal distribution.

Answer:

0.0765 = 7.65% probability that, for any day, the number of special orders sent out will be exactly 3

Step-by-step explanation:

We have the mean, which means that the poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

The auto parts department of an automotive dealership sends out a mean of 6.3 special orders daily.

This means that [tex]\mu = 6.3[/tex]

What is the probability that, for any day, the number of special orders sent out will be exactly 3?

This is P(X = 3). So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 3) = \frac{e^{-6.3}*6.3^{3}}{(3)!} = 0.0765[/tex]

0.0765 = 7.65% probability that, for any day, the number of special orders sent out will be exactly 3

Answer:

1. True

2. Hundreds

Step-by-step explanation:

1. Natural numbers are positive integers (whole numbers) 1, 2, 3, etc. 0 is lower than all of them.

2. 3 (ten thousands), 0 (thousands), 8 (hundreds), 4 (tens), 6 (ones). Try reading out the number.

Answer:

540 miles per hour and 50 miles per hour respectively.

Step-by-step explanation:

Let the speed of plane in still air be x and the speed of wind be y.

ATQ, (x+y)*7.5=4425 and (x-y)*7.5=3675. Solving it, we get x=540 and y=50

Answer:

The proportion of products that exhibit edge roughness is 0.029 = 2.9%.

Step-by-step explanation:

Proportion of products that exhibit edge roughness:

2% of 25%(new blades).

3% of 60%(average sharpness).

4% of 15%(worn). So

[tex]p = 0.02*0.25 + 0.03*0.6 + 0.04*0.15 = 0.029[/tex]

The proportion of products that exhibit edge roughness is 0.029 = 2.9%.

Answer:

B

Step-by-step explanation:

they have the same intercepts