Find the measure of the exterior angle.

Answer: 15.28

Step-by-step explanation:

The expected value for the age of a randomly chosen student is,

⇒ 15.28

Given that:

Total number of students,

⇒ n = 1500,

And, Age : 13, 14, 15, 16, 17, 18

Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01

Now,

We can Calculate the expected value as shown below,

E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01

E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18

E = 15.38

Therefore, The expected value for the age of a randomly chosen student is 15.38.

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Answer:

17550 solutions

Step-by-step explanation:

Given that:

y1 +y2+y3+y4=27

where;

(yi  ≥ 0 and yi [tex]\epsilon[/tex] [tex]{\displaystyle \mathbb {Z} }[/tex]  )

The no. of a nonnegative integer determines the number of ways to choose 27 objects from (4) distinct objects with repetition regardless of the order.

i.e

[tex]\bigg(^{27}_{4} \bigg)[/tex]

∴

The number of nonnegative integer solution is [tex]\bigg(^{27}_{4} \bigg)[/tex]

[tex]= \dfrac{27!}{4!(27-4)!}[/tex]

[tex]= \dfrac{27!}{4!(23)!}[/tex]

[tex]= \dfrac{27\times 26\times 25\times 24 \times 23 !}{4\times 3\times 2\times 1(23)!}[/tex]

[tex]= \dfrac{27\times 26\times 25\times 24 }{4\times 3\times 2\times 1}[/tex]

[tex]= \dfrac{421200}{24}[/tex]

= 17550 solutions

Given:

4/5 of a pie left after their family picnic.

Each slice of pie was 1/15 of the total pie.

To find:

The number of remaining slices of pie.

Solution:

Let x be the number of remaining slices of pie.

Part of total pie in one slice = [tex]\dfrac{1}{15}[/tex]

Remaining part of total pie in x slices = [tex]\dfrac{1}{15}x[/tex]

According to the question, 4/5 of a pie left after their family picnic.

[tex]\dfrac{1}{15}x=\dfrac{4}{5}[/tex]

Using cross multiplication, we get

[tex]5\times x=15\times 4[/tex]

[tex]5x=60[/tex]

Divide both sides by 5.

[tex]x=12[/tex]

Therefore, the remaining number of slices of pie is 12.

Answer: there isn’t a graph shown

Step-by-step explanation:

Answer:

To be honest I don't know I just need some points 1+1=2

Step-by-step explanation:

Answer:

The common factors for 4,8 are −4,−2,−1,1,2,4 - 4 , - 2 , - 1 , 1 , 2 , 4 .

Step-by-step explanation:

There ya go, mate.

The greatest common factor of the expression 4x + 8 will be 4.

The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.

In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.

As per the given expression,

4x + 8

The highest number that can be take common in the above expression is 4 as,

4(2x + 2)

Thus, 4 will be the GCF.

Hence "The greatest common factor of the expression 4x + 8 will be 4".

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Answer:

5 is the coefficient

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

B. $254

Step-by-step explanation:

Flat Fee: $30    

Cost per hour: $28

Customer 1: 3(28) + 30 = 114

Customer 2: 5(28) + 30 = 170

Customer 3: 8(28) + 30 = 254

Answer:

14.47

Step-by-step explanation:

Answer: a/c = 1

a/b = 1/2 => a = 1/2 .b

b/c = 2 => c = 1/2 .b

=> a/c = (1/2.b)/(1/2.b) = 1

Step-by-step explanation:

If a is half b, and b is twice c, then the fraction a:c will be 1.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.

As per the given,

a is half b ⇒ a = b/2

b is twice c ⇒ b = 2c

By substitution,

a = (2c)/2

a = c

a:c = 1:1 = 1

Hence "If a is half b, and b is twice c, then the fraction a:c will be 1".

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[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{81^2=81\times81\rightarrow\bf{6,561}}[/tex]

[tex]\mathsf{(6,561)^{\dfrac{1}{8}}= \bf{3}}[/tex]

[tex]\boxed{\boxed{\mathsf{Therefore, your\ answer\ is: \boxed{\huge\textsf{\bf{C. 3}}}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

Answer:

c

Step-by-step explanation:

because I said so " But rearle you cant start a sentence with because"

ok then, The answer is C because I said so

Answer: 50%

Step-by-step explanation:

(6000-4000)/4000= 2000/4000

=2/4=1/2

(1/2)100=50

Given:

Consider the three points are A(-1,1), B(1,-2) and C(0,-4).

These points rotated 270 degrees by the origin.

To find:

The coordinates of points after rotation.

Solution:

If a figure rotated 270 degrees by the origin, then

[tex](x,y)\to (y,-x)[/tex]

Using this rule of transformation, we get

[tex]A(-1,1)\to A'(1,1)[/tex]

[tex]B(1,-2)\to B'(-2,-1)[/tex]

[tex]C(0,-4)\to C'(-4,0)[/tex]

Therefore, the points after rotation are A'(1,1), B'(-2,-1) and C(-4,0).

Answer: x=70

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Answer:

7627.36

Step-by-step explanation:

95342 * 8% = 7627.36

Answer:

Marcus earns 15% commission on his total sales at work.

Suppose Marcus's sales totaled $725 last week. How much did he earn in commission?

A.

$833.75

B.

$616.25

C.

$108.75

D.

$10.88

Step-by-step explanation:

Answer:

The product will be less than the second factor.

Step-by-step explanation:

Given the expression

[tex]\frac{4}{5}\:\times \:1\frac{2}{5}\:=y[/tex]

solving to determine the product value

[tex]y=\:\frac{4}{5}\times \:\:1\frac{2}{5}[/tex]

  [tex]=\frac{4}{5}\times \frac{7}{5}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

  [tex]=\frac{4\times \:7}{5\times \:5}[/tex]

  [tex]=\frac{28}{5\times \:5}[/tex]

  [tex]=\frac{28}{25}[/tex]

As the value of the second factor is:

[tex]1\frac{2}{5}=\frac{7}{5}=1.4[/tex]

And the product value is:

[tex]y=\frac{28}{25}=1.12[/tex]

It is clear that the product value 'y = 1.12' is lesser than the second factor value '1.4'.

i.e. 1.12 < 1.4

Thus, the product will be less than the second factor.

Answer:

76.666. . . and 112.9032258064516

Step-by-step explanation:

Answer:

6.7

Step-by-step explanation:

Answer:

No the relation is not a function

Step-by-step explanation:

This is because there are 2 x factors that have the value of 15. (15,8) and (15,2)

in order to make this a function you would have to change the one of the x factor of the 2 ratios:

(15,8) and (15,2)

Answer:

600 cards

Step-by-step explanation:

30*20= 600

Answer:

30 packs of cards

Step-by-step explanation:

You literally answered your own question "Angela has 30 packs of Pokémon cards"

Now if your wanting to know how many cards she has it would be 600 because 30 * 20 = 600

or if you wanted you could do it this way:

2 * 3 = 6

10 * 10 = 100

6 * 100 = 600

Answer:

4 units

Step-by-step explanation:

Answer:3/4

Step-by-step “ time/ distance?

Answer:

b = -80

Step-by-step explanation:

-16 = 0.2b

-16/0.2 = b

-80 = b

Answer:

m=25

Step-by-step explanation:

100/4

Answer:

110

Step-by-step explanation: