A. $24.28
B. $30.35
C. $20.23
D. $16.19

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Answer:

  1 7 21 35 35 21 7 1

Step-by-step explanation:

Numbering from k=0 to k=7, the k-th coefficient in the row is ...

  C(7, k) = 7!/(k!(7-k)!)

You know the first two in row 7 are 1 and 7. There are 8 in the row, and the row is the same forward and backward. This means you only need to find C(7, 2) and C(7, 3). These are ...

  C(7, 2) = 7!/(2!(5!)) = 7·6/(2·1) = 21

  C(7, 3) = 7!/(3!(4!)) = 7·6·5/(3·2·1) = 35

So, row 7 is ...

  1, 7, 21, 35, 35, 21, 7, 1

Answer:

Step-by-step explanation:

take 23 degree as reference angle

using tan rule

tan 23=opposite/adjacent

0.42=x/3.2

3.2*0.42=x

1.34=x

1.3=x

Answer:

x equals to about 1.36

Step-by-step explanation:

Okay so first of all list write out Sin Cos and Tan. SOH-CAH-TOA

Now lets see what we are given. For the reference angle we are given 23.

We are also given 3.2 which is the adjacent angle. And the angle opposite of the reference angle is x. So all in all we have <23, Adjacent length 3.2, opposite length x.

Now we see which one would fit for this. That would be Tan since it deals with adjacent and opposite angles.

Now lets write it out as an equation. tan(23)= x/3.2 | Okay now next to get x alone we move it to the right side. That would leave us with tan(23)*3.2 which equals to about 1.36 "1.35831941187". Remember to use degree and not radiant.

An image is also added.

Hope it helps.

Answer:

2687

2687×100/59=4554.2

29×4554.2/100= 2686.97 aprox. 2687

9514 1404 393

Answer:

  8. A = {Delaware, New Jersey, Pennsylvania}

  9. |B| = 3

Step-by-step explanation:

8. Dates prior to 1 Jan 1788 are those in 1787. The three states admitted in 1787 are listed as Delaware, Pennsylvania, New Jersey. It is usually convenient to list elements of a set in lexicographical order:

  A = {Delaware, New Jersey, Pennsylvania}

__

9. The months June and July appear 3 separate times on the list, so there would be 3 elements in the set B.

  |B| = 3

Answer:

((5 * 5) + 5 - 5 - 5) * 5

Step-by-step explanation:

((5 * 5) + 5 - 5 - 5) * 5

((25) + 5 - 5 - 5) * 5

(30 - 5 - 5) * 5

(25 - 5) * 5

20 * 5

100

Answer:

C. 11.60 ounces to 12.60 ounces

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean 12.10, standard deviation 0.25.

In which range will the amount of water dispensed be found 95% of the time?

By the Empirical Rule, within 2 standard deviations of the mean. So

12.10 - 2*0.25 = 12.10 - 0.5 = 11.60

12.10 + 2*0.25 = 12.10 + 0.5 = 12.6

So the correct answer is given by option C.

Answer:

a) 6.09 %

b) 9.36 %

Step-by-step explanation:

a) Given  

% of questions that are truthful = 87% = -.87

% of right questions that are falsely indicated as lies = 7%

Percentage of the answers that the polygraph wrongly indicate as lies = 0.87 * 0.07 = 0.0609 = 0.1 = 10%

b) % of answers that are lies = 13% = 0.13

% of answers that are correctly caught as lies = 72%

percentage of the answers that the polygraph will correctly indicate as lies

= 0.13 * 0.72 = 0.0936 = 0.1 = 10 %

Answer:

85%

Step-by-step explanation:

to find percent of the throws made put (throws made/total free throws)*100

so (85/100)*100= 85%

Answer: 6:14

Step-by-step explanation:

3 + 7 = 10x

10x of 20 = 20/10

10x of 20 = 2

3*2:7*2 = 6:14

Answer:

6:14

Step-by-step explanation:

3+7= 10... Double the numbers. The line should be drawn so that 6 is on one side and 14 are on the other.

Answer:

3

Step-by-step explanation:

Total- 25

25 ÷ 2 = 12.5

12.5 is in 3

:)

Answer:

According to me it should be Option B, 15.31

Hope this helps!

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

⇒  15.38

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

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.

To know more about probability:

brainly.com/question/743546

#SPJ7

[tex]\huge\bold{Given:}[/tex]

Length of the base = 9

Length of the hypotenuse = 16 [tex]\huge\bold{To\:find:}[/tex]

✎ The length of the perpendicular ''[tex]x[/tex]".

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

The length of the perpendicular [tex]x[/tex] is[tex]\boxed{±13.229}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Using Pythagoras theorem, we have

[tex]({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ ⇢ {x}^{2} + {(9})^{2} = ({16})^{2} \\ ⇢ {x}^{2} + 81 = 256 \\ ⇢ {x}^{2} = 256 - 81 \\ ⇢x = \sqrt{175} \\ ⇢x = ±13.229[/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:perpendicular \:"x"\:is\:±13.229.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( {13.229})^{2} + ({9})^{2} = ({16})^{2} \\ ⇢ 175 + 81 = 256 \\ ⇢ 256 = 256 \\⇢  L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

Answer:

the answer is A

Step-by-step explanation:

[tex] log_{x}(5 \times 12 ) = 7 \\ \: then \: log_{x}(60) = 7 \\ \: then \: {x}^{ log_{x}(60) } = {x}^{7} \\ {x}^{7} = 60[/tex]

Answer:

The equation of the circle is [tex]x^2 + (y + 3)^2 = 11[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center [tex](x_0,y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

Center (0, -3)

This means that [tex]x_0 = 0, y_0 = -3[/tex]

Radius square root of 11

This means that [tex]r = \sqrt{11}[/tex]

Equation of the circle:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x - 0)^2 + (y - (-3))^2 = (\sqrt{11})^2[/tex]

[tex]x^2 + (y + 3)^2 = 11[/tex]

The equation of the circle is [tex]x^2 + (y + 3)^2 = 11[/tex]

Answer:

B:yes because the paper slips were equally size and the bag was shaken

Step-by-step explanation:

Taking the test

Answer:

15

Step-by-step explanation:

let the number be n, then

[tex]\frac{n+62}{7}[/tex] = n - 4 ( multiply both sides by 7 to clear the fraction )

n + 62 = 7n - 28 ( subtract n from both sides )

62 = 6n - 28 ( add 28 to both sides )

90 = 6n ( divide both sides by 6 )

15 = n

That is the number is 15

Answer:

A = 1.77 ft^2

Step-by-step explanation:

The circle has  a diameter of 1.5 ft

We need the radius

r = d/2 = 1.5/2 = .75 ft

The area of a circle is

A = pi r^2

A = 3.14 ( .75)^2 = 1.76625

To the nearest hundredth

A = 1.77 ft^2

Answer:

1.77 ft²

Step-by-step explanation:

The formula to find the area of a circle :

A = πr²

First, let us find the radius of the circle.

Given that,

diameter ⇒ 1.5 ft

d = 2r

1.5 = 2r

Divide both sides by 2.

0.75 = radius

Now, let us find the area of the circle.

A = πr²

A = 3.142 × 0.75 × 0.75

A = 1.767 ft²

A ≈ 1.77 ft²

Answer:

44

Step-by-step explanation:

50% is half of the whole

88/2=44

Answer:

44

Step-by-step explanation:

88/2

Answer:

I think the manager is correct because Jenny should not order the belts according to its sold quantity or according to the demand of other people.She must choose the size according to her waist size and the other's for whom she is going to buy.

Will you mark it the brainliest please because I answered your question inspite of being in class:)

Answer:

C

Step-by-step explanation:

it describes how much the shown graph extends left and right.

Note that 4 is included, but -2 itself not. that's why it's empty and A isn't correct.

B and D are completely inapplicable

pls brainliest

Answer:

The correct answer is A I believe . . .

Answer:

A. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.

Step-by-step explanation:

Rectangles are parallelograms since they have 2 pairs of parallel sides.  All rectangles also have 4 right angles and 2 pairs of opposites sides that are of equal lengths.

Answer:

A=1

45(5+25)a2

Step-by-step explanation:

Answer:0.44682639764

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

just like 8+6 = 14

-8-6 = -14

Answer:

not existing

Step-by-step explanation:

[tex] \frac{ - 6 + x}{ {x}^{4} } [/tex]

lim x goes to 0 is

[tex] \frac{ - 6 + 0}{ {0}^{4} } = \frac{ - 6}{0} [/tex]

so not exist

I'm not sure if u mean that or this

Answer:

the x² test statistic 13.71

Option a) 13.71 is the correct answer.

Step-by-step explanation:

Given the data in the question;

Feeder                     1      2      3       4

Observed visits; [tex]o_i[/tex]  60   90   92    58

data sample = 300

Expected [tex]e_i[/tex] = 300 / 4 = 75

the x² test statistic = ?

[tex]X^2_{stat[/tex] = ∑[ ([tex]o_i[/tex] - [tex]e_i[/tex])²/[tex]e_i[/tex]]

[tex]X^2_{stat[/tex] = [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]

[tex]X^2_{stat[/tex] = [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]

[tex]X^2_{stat[/tex] = 13.7066 ≈ 13.71

Therefore, the x² test statistic 13.71

Option a) 13.71 is the correct answer.

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Answer:

  x = 24

Step-by-step explanation:

The two angles are complementary, so their sum is 90°.

  x° +(3x -6)° = 90°

  4x = 96 . . . . . . . . . . . . divide by °, add 6

  x = 24 . . . . . . . . . . . . . divide by 4