What are the missing angles?

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: 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.

To know more about probability:

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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

Answer:

hundreth

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

3,266

Step-by-step explanation:

Answer:

3266cm²

Step-by-step explanation:

try it it healps

Answer:

A prime number is a number that can only be divided by 1 and itself.

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: 50%

Step-by-step explanation:

(6000-4000)/4000= 2000/4000

=2/4=1/2

(1/2)100=50

Answer:

m=25

Step-by-step explanation:

100/4

Answer:

6.7

Step-by-step explanation:

Answer:

14.47

Step-by-step explanation:

Answer: A. The vectors point in the same direction

Step-by-step explanation:

edge2020

Answer:

A) The vectors point in the same direction.

Step-by-step explanation:

got it right on edge :)

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:

5 is the coefficient

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

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).

[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:

1/6

Step-by-step explanation:

Answer: there isn’t a graph shown

Step-by-step explanation:

Answer:

76.666. . . and 112.9032258064516

Step-by-step explanation:

Answer:

4 units

Step-by-step explanation:

Answer:3/4

Step-by-step “ time/ distance?

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: 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".

For more about fractions,

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Answer:

1 and 3, 2 and 4.

Step-by-step explanation:

1. -1.66666666667

2. 1

3. -1.66666666667

4. -1

Answer: x=70

Step-by-step explanation:

Answer:

मापनको एकाईलाई हर्ट्ज (हर्ट्ज) भनिन्छ, जुन प्रति सेकंड टेक्निकली एक चक्र हो, घडीको गति मापन गर्न प्रयोग हुन्छ। ... कम्प्युटरको घडी गति सामान्यतया मेगाहेर्ट्झ (मेगाहर्ट्ज) वा गिगाहर्ट्ज (GHz) मा मापन गरिएको छ। एक मेगाहेर्ट्ज प्रति सेकेन्ड १० लाख टिक्स बराबर हुन्छ, र एक गिगाहर्ट्ज बराबर एक सेकेन्ड टिक टिक प्रति सेकेन्ड।