There are 38 chocolates in a box, all identically shaped. There are 8 filled with nuts, 16 with caramel, and 14 are solid chocolate. You randomly select one piece, eat it and then select a second piece. Find the probability of selecting 2 solid chocolate in a row

Answer:

1) slope intercept y= (-7/4)*x-19/2 2) point slope y-1= -7/4*(x+6)

Step-by-step explanation:

4x-7y=2

7y= 4x-2

y=(4/7)*x-2/7

To find the m2 (the number near x, it is called slope) for searched the slope intercept

use the formula for perpendicular lines

m1*m2=-1

m1= 4/7

m2= -1/ (4/7)= -7/4.

The slope intercept must look like y=m2*x+b

Use the coordinates of given point of the searched line (-6,1)  and m2= -7/4.

1= (-7/4) *(-6) +b

b= -19/2

So slope intercept is y= (-7/4)*x-19/2

Point slope formula is y-y1= m2(x-x1)  m2=-7/4. x1=-6 y1=1

y-1= -7/4(x+6)

Answer:

8.1 = LM

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

13 * 5 = LM^2

65 = LM^2

sqrt(65) = LM

8.06225 = LM

To one decimal place

8.1 = LM

Answer:

(x + 74) - 318 = 200

x + 74 = 200 + 318

x +74 = 518

x = 518 - 74

x = 444

Answer:

An axiom is often a statement assumed to be true for the sake of expressing a logical sequence. ... These statements, which are derived from axioms, are called theorems. A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives.

hope it helps

PLEASE MARK BRAINLIEST

Answer:

A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives. ... An axiom is a statement that is assumed to be true without any proof, while a theory is subject to be proven before it is considered to be true or false.

[/tex][tex]\sf\purple{\dfrac{tanθ}{secθ - 1} = \dfrac{tanθ + secθ + 1}{tanθ + secθ - 1{cm}^{2}}[/tex][/tex]

[tex]\\[/tex]

[tex]\sf\purple{\dfrac{tanθ}{secθ - 1} = \dfrac{tanθ + secθ + 1}{tanθ + secθ - 1}{cm}^{2}}[/tex]

[tex]\:[/tex]

[tex]\sf{\red{\dfrac{\tan\theta}{\sec\theta - 1}=\dfrac{\tan\theta + \sec\theta + 1}{\tan\theta + \sec\theta - 1}\:cm^{2}}}[/tex]

Answer:

"t" is not a specific thing, this is just the sign of your variable.

t = 4 × 2.5

t = 10

Answer:

What do uh mean?.......

Answer:

a = - 2, b = 3

Step-by-step explanation:

B + C

= [tex]\left[\begin{array}{ccc}6&4\\2&6\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}1&-1\\2a&-6\\\end{array}\right][/tex] ( add corresponding elements )

= [tex]\left[\begin{array}{ccc}7&3\\2+2a&0\\\end{array}\right][/tex]

Then

[tex]\left[\begin{array}{ccc}5&b\\a&0\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}7&3\\2+2a&0\\\end{array}\right][/tex]

Equating corresponding elements gives

b = 3

a = 2 + 2a ( subtract 2a from both sides )

- a = 2 ( multiply both sides by - 1 )

a = - 2

Answer:

Step-by-step explanation:

The modal group is 10-20, as it has the greatest frequency of 27.

Estimated mode is calculated by formula:

where

Substitute values to get:

Answer:

G

Step-by-step explanation:

you know its G just by the way it is

Answer:

0.06114248375

Step-by-step explanation:

I've done this problem before

Answer:

multiply 4 by 12 okay bro

Answer:

y = [tex]\frac{1}{3}[/tex] x

Step-by-step explanation:

Given that y and x are proportional then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 4 when x = 12 , then

4 = 12k ( divide both sides by 12 )

k = [tex]\frac{4}{12}[/tex] = [tex]\frac{1}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x ← equation of proportion

Answer: without five points! have a nice day!

Step-by-step explanation:

Answer:

without five points! have a nice day!

Answer:

With new regime is 183,750Rs

Step-by-step explanation:

I. 75,000 * 13 [12 months + 1 month bonus] = 975,000

II. Ms.Gurung tax rate will be ₹37500 + 15%

III. Perform ratio x/975,000 = 15/100 [15% is 15/100] = 146,250

IIII. ₹37500 + 146,250 = 183,750Rs

It depends on how tax rate will costs, could be more or less.

Answer:

2 : 3

Step-by-step explanation:

We'll begin by calculating the area of the entire garden. This can be obtained as follow:

Length of garden (L) = 12 m

Width of garden (W) = 5 m

Area of entire garden (A) =?

A = L × W

A = 12 × 5

Area of entire garden is 60 m²

Next, we shall determine the area of the garden reserved for flower. This can be obtained as follow:

Length of flower garden (L₁) = 12 – 4

= 8 m

Width of flower garden (W₁) = 3 m

Area of flower garden (A₁) =?

A₁ = L₁ × W₁

A₁ = 8 × 3

A₁ = 24 m²

Next, we shall determine the area of the garden reserved for grass. This can be obtained as follow:

Area of entire garden (A) = 60 m²

Area of flower garden (A₁) = 24 m²

Area of grass garden (A₂) =?

A = A₁ + A₂

60 = 24 + A₂

Collect like terms

A₂ = 60 – 24

A₂ = 36 m²

Finally, we shall determine the ratio of the area of the garden reserved for flowers to the area reserved for grass. This can be obtained as follow:

Area of flower garden (A₁) = 24 m²

Area of grass garden (A₂) = 36 m²

Ratio of flower garden to grass garden = A₁ : A₂

= 24 : 36

= 24 / 36

= 2 : 3

Therefore, the ratio of the area of the garden reserved for flowers to the area reserved for grass is 2 : 3

Answer:

135

Step-by-step explanation:

(n−2) × 180° = sum of the interior angles  where n is the number of sides

There are 6 sides

(6 -2) * 180

4*180

The sum is 720

2x+2x+3x+3x+3x+3x = 720

16x = 720

Divide by 16

16x/16 = 720/16

x = 45

Angle E = 3x= 3(45) = 135

Answer:

0.4 × 10 = 4

1.25 × 10 = 12.5

97.465 × 10 = 974.65

Answer:

V = 8 m/s

Step-by-step explanation:

 Assuming that the object was at rest, so μ = 0

Equations

F=ma - Newtons 2nd law

[tex]v^{2} = u^{2} + 2a[/tex]Δx - 4th kinematic equatioin

Step 1 - find "a"

F=m/a

a=F/m

a=80/10

a=8m/s^2

Step 2 - find "v"  

v^2 = 0 + 2 * 8 * 4

v^2 = 64    

v=8m/s

Answer:

552

Step-by-step explanation:

I'm almost certain this is correct. Only one step is rounded.

Answer:  942 - 225*sqrt(3)

This is roughly equivalent to 552.29

The unit for the area is in square cm, or cm^2.

The two area values above are based on pi = 3.14, so they are approximations.

============================================================

Explanation:

The radius of the circle is r = 30 because OA = 30.

The full circle has area A = pi*r^2 = 3.14*30^2 = 2826 cm^2 approximately

However, we only want 120/360 = 1/3 of this full area to get the area of the pizza slice. So the area of the pizza slice is approximately (1/3)*2826 = 942 cm^2

This is not the final answer, but helps get us there.

What we just calculated was the approximate area of the entire figure: the yellow area plus the white triangle.

If we can find the area of the white triangle, and subtract it off, then we'll find just the area of the yellow region only.

-----------------------

The SAS (side angle side) area formula for a triangle is

Area = 0.5*p*q*sin(R)

where p,q are the sides and angle R is between those sides.

Here we have p = q = 30, which are sides OA and OB, and we have R = 120 degrees as the central angle.

So the area of triangle AOB is...

Area = 0.5*p*q*sin(R)

Area = 0.5*30*30*sin(120)

Area = 450*sqrt(3)/2

Area = 225*sqrt(3)

This value is exact.

-----------------------

The area of the yellow region is therefore

(area of full figure) - (area of triangle)

(942) - (225*sqrt(3))

942 - 225*sqrt(3)

This is approximate because we used pi = 3.14 as an approximation earlier.

You could then use your calculator to say

942 - 225*sqrt(3) = 552.288568

This rounds to 552.29

9514 1404 393

Answer:

  ∠4 = 108°

Step-by-step explanation:

Angles 2 and 4 together form a "linear pair". That is, the sum of them is 180°, a "straight angle." They are supplementary.

  ∠4 = 180° -∠2 = 180° -72°

  ∠4 = 108°

Answer:

y= -x +2

Step-by-step explanation:

This is a negative slope of one because the line is going down and has a ride over run of 1/1. Then the y intercept is +2 because this line intercepts the y axis at positive 2.

hope it helps!

Answer:

y = -x +2

Step-by-step explanation:

just trust me on this

Answer:

sin theta = -2 sqrt(14)/15

Step-by-step explanation:

cos theta = adj / hyp

We can find the opp side by using the Pythagorean theorem

adj ^2 + opp ^2 = hyp^2

(-13)^2 + opp ^2 = 15^2

169 + opp ^2 = 225

opp ^2 = 225 -169

opp ^2 =56

Taking the square root of each side

sqrt( opp^2) = sqrt(56)

opp = sqrt(4 * 14)

opp = 2 sqrt(14)

Since we are in the third quadrant opp is negative

opp = -2 sqrt(14)

We know

sin theta = opp / hyp

sin theta = -2 sqrt(14)/15

Given that :

[tex] \frak {\cos( \theta_{1} ) = - \frac{13}{15} }[/tex]

To find :

[tex] \frak{ sin( \theta_{1} )}[/tex]

We know that cos θ is base/hypotentuse

So, here the base is -13 and the hypotentuse is 15

As we got the base and hypotentuse, perpendicular needs to be found out

Now, applying Pythagoras Theorem

According to Pythagoras theorem we know that :

Let us assume perpendicular be x

Putting the values we get

By transposing we get

sin θ formula : Perpendicular/Hypotentuse

[tex] \star \: \: \underline{ \overline{ \boxed{ \frak{ sin (\theta_{1})} = \frac{-2 \sqrt{14} }{15} }}}[/tex]

Hence, the answer is -2√14/15

Answer:

Unimodal-Skewed

Step-by-step explanation:

A distribution is called unimodal if it has only one hump in the histogram.

A symmetric distribution is equally divided on both sides of the highest hump.

The given histogram has only one hump at 4 and as it is not symmetrically distributed, it is skewed.

So the correct answer is:

Unimodal-Skewed ..

Answer:

8 m

Step-by-step explanation:

Diagonal: Hypotenuse

Let the hypotenuse (diagonal) be c, Stafford street be a, and let Silvergrove Avenue be b.

Formula: a^2 + b^2 = c^2

Lets plug them in!

6^2 + b^2 = 10^2

36 + b^2 = 100

b^2= 100 - 36

b^2 = 64

64 is the exponential value of b, meaning to lower it to its original terms, we apply the opposite of squaring. Which is finding the square root.

[tex]\sqrt{64}[/tex] = 8

Therefore Silvergrove Avenue is 8 m.

Answer:

8

Step-by-step explanation:

Pythagorean Theorem: a^2 + b^2 = c^2

c (the hypotenuse, or longest leg) = 10, a or b = 6

6^2 + b^2 = 10^2

36 + b^2 = 100

b^2 = 64

b = 8

Answer:

[tex]{ \sf{( \sec \theta - \csc \theta)(1 + \tan \theta + \cot \theta) }} \\ = { \sf{( \sec \theta + \tan \theta \sec \theta + \cot \theta \sec \theta) - ( \csc \theta - \csc \theta \tan \theta - \csc \theta \cot \theta)}} \\ = { \sf{( \sec \theta + \sec \theta \tan \theta + \csc \theta) - ( \csc \theta - \sec \theta - \csc \theta \cot \theta)}} \\ = { \sf{ \sec \theta \tan \theta + \csc \theta \cot \theta }} \\ { \bf{hence \: proved}}[/tex]

Answer:

True

Step-by-step explanation:

A cylinder has two circles as its bases, and the diameter formula is:

2r = d

So if you plug in:

2r = 18

---    ---

2     2

r = 9

So it will be true.

Hope this helped.

Step-by-step explanation:

y+80+70=180

y+150=180

y=30

Now you can, easily find x

Answer:

47°

Step-by-step explanation:

cos ? = 36/53

? = arccos (36/53)

? = 47 (rounded to the nearest degree)

Answered by GAUTHMATH

Answer:

34 + 35 + 36 = 105

Step-by-step explanation:

Answer:

2nd is the correct answer for your question