How do I solve this ?

The probability of the complement of the event is 3/4 if the nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of contains in the bag = 15+10+15 = 40

Total number of nickel = 10

The probability of getting the nickel = 10/40 = 1/4

The complement of the probability:

P' = 1 – 1/4

P' = 3/4

Thus, the probability of the complement of the event is 3/4 if the nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes.

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Answer:

73.40°

Given a right angle triangle.

Solve the missing angle using cosine rule.

[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]

Here given:

adjacent: 2

hypotenuse: 7

angle: x

Solve:

[tex]\rightarrow \sf cos(x) = \dfrac{2}{7}[/tex]

[tex]\rightarrow \sf x = cos^{-1}(\dfrac{2}{7})[/tex]

[tex]\rightarrow \sf x =73 .40^ \circ \:[/tex]

Answer:

7

Step-by-step explanation:

The sides are in proportion.

Answer:

7

Step-by-step explanation:

Given,

△ABC ~ △DEF

( ~ means similar )

To find : missing side length

Similar triangle rule : -

If two triangles are similar, their corresponding sides are similar.

So,

AB ~ DE

BC ~ EF

AC ~ DF

Let the missing side length ( DF ) be " x ".

Note : -

When the corresponding sides are divided, their ratios will be same.

That is,

AB / DE

= 20 / 4

= 5 / 1

= 5 : 1

BC / EF

= 40 / 8

= 5 / 1

= 5 : 1

AC / DF should also be equal to 5 : 1.

AC / DF = 5 : 1

35 / x = 5 / 1

Cross multiply,

x * 5 = 35 * 1

5x = 35

Divide 5 on both sides,

x = 35 / 5

x = 7

Therefore,

the missing side length is 7.

The probability of correctly guessing at random exactly one correct answer will be 15%. Then the correct option is A.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

A five-question multiple-choice quiz has five choices for each answer.

Use the random number table provided, with 0’s representing incorrect answers and 1’s representing correct answers, to answer the following question.

Then the probability of correctly guessing at random exactly one correct answer will be

P (X = x) = ⁿCₓ × pˣ × (1 - p)⁽ⁿ⁻ˣ⁾

The probability of success will be 0.5. Then we have

P (X = 1) = ⁵C₁ × p¹ × (1 - p)⁽⁵ ⁻ ¹⁾

P (X = 1) = 0.15625

P (X = 1) = 15.625%

P (X = 1) ≅ 15%

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Answer:

Step-by-step explanation:

a) (2,-4)  and (2 , 3)

In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.

  Distance = I -4-3 I = I -7I =  7 units

b) (-3,-2)  and  (-3,0)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

     Distance = I-2 -0 I = I -2 I = 2 units

c) (1,4) and (-5,4)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

Distance = I 1 - (-5) I = I 1 + 5 I = I 6 I = 6

d) (-2,0)  and (-3,0)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

Distance = I -2 - (-3) I = I -2 + 3 I = I 1 I = 1 unit

e) (4,-6) and (4,-2)

In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.

Distance = I -6 - (-2) I = I -6 + 2 I = I-4 I = 4 units

f) (5,1) and (1 , 1)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

Distance= I5 - 1 I =  I 4 I  = 4 units

Answer

0.823742

Step-by-step explanation:

just a genius

Answer:

2,985 yes votes

Step-by-step explanation:

Ratio of yes votes to no votes was 5 to 8, we can write the following equation:

Yes : no : total = 5 : 8 : 13

Knowing the total votes was 7,761, thus the number of yes votes = (5/13) * 7,761 = 2,985 votes.

Answer:

>.

Step-by-step explanation:

3.9 is  greater than 9/10 ( = 0.9)

Answer:

From top to bottom:

Simplify

Combine like terms

Subtract 3x from both sides

Add 14 on both sides

Step-by-step explanation:

Hope this helps

The measure of DE is triangle ABE is similar to ACD is 9units

For triangles to be similar, the ratio of their sides must be equal to the constant called he scale factor.

From the given diagram;

AB/AE = AC/AD
20/15 = 32/15 + DE

Solve for DE
4/3 = 32/15+DE
4(15+DE) = 3(32)
15+DE = 3(8)
DE = 24 - 15
DE = 9

Hence the measure of DE is triangle ABE is similar to ACD is 9units

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[tex]\text{Slope-intercept form is y=mx+c, where m is the slope and c is the y-intercept.}\\ \\~~~~~-4x+2y = 16\\\\\implies 2y = 16+4x\\\\\implies y = \dfrac 12(16+4x)\\\\\implies y = 8 + 2x\\\\\implies y=2x +8\\\\\text{It is now in the slope-intercept form.}[/tex]

Answer:

x^2 + 5x - 14

Step-by-step explanation:

We can assume that if there is 2 options for x, this is a quadratic equation that equals 0.

Therefore, we can put this into brackets as one bracket must equal 0.

(x - 2) (x + 7)

After this we expand, which is a process easier to search up

The answer is:

x^2 + 7x - 2x - 14

We can simplify this to:

x^2 + 5x - 14

x^2 represents x squared in case you were wondering

Therefore, the answer is:

x^2 + 5x - 14

The transformation to the parent function f(x) from g(x) is (b) g(x) is shifted 2 units to the right and 6 units up

The equations are given as:

f(x) = x^3

g(x) = (x - 2)^3 + 6

The function g(x) can be rewritten as:

g(x) = (x - h)^3 + k

This means that the function f(x) is shifted right by h units and shifted up by k units.

By comparison:

h = 2 and k = 6

Hence, the transformation to the parent function f(x) from g(x) is (b) g(x) is shifted 2 units to the right and 6 units up

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Answer:

D)  x + √x - 6.

Step-by-step explanation:

(√x-2)(√x + 3)

= √x*√x + 3*√x - 2*√x - 2*3

= x + √x - 6.

Answer:

-6 [tex]\sqrt{35}[/tex]

Step-by-step explanation:

Answer:

[tex]6\sqrt{35}i[/tex]

Step-by-step explanation:

Answer:

4.15×10⁵

10⁵=100,000

4.15×100,000=415,000

Answer:

4.15 * 10^5.

Step-by-step explanation:

There are 5 digits after the initial digit(4).

So it is:

4.15 * 10^5

Answer:

red colour is 7...blue is 3 ...green 9...yellow 13...purple 8

Taxes usually increase how much you pay from the purchase price.  To find the tax charged on the purchase, multiply the tax rate by the purchase.

$28.38 × 0.0825 = $2.34

The tax charged is $2.34

Answer:

C) 75.36 cubic feet

Step-by-step explanation:

Volume of a cone: ⅓hπr²

Given:

Substitute the given values to find the volume:

V = (⅓)(8)(3.14)(3)²

V = (⅓)(8)(3.14)(9)

V = (⅓)(226.08)

V = 75.4 ft³ (nearest tenth)

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Answer:

Your answer is 128 oz

Step-by-step explanation:

1 Ounce = 0.0625 Pounds

pounds cancel and leave oz.
8 lb * 1 oz / 0.0625 lb = 128 oz

Answer:

128 oz

Step-by-step explanation:

1 lb = 16 oz

8 lb × 16

= 128 oz

Answer:

35 square feet

Step-by-step explanation:

Area of the rug :

Step-by-step explanation:

Area: Length X width

Perimeter: Add all sides

Answer:

  A) u=<9, 7>; v=<8, -2>

  B) u+v = <17, 5>

  C) 5u-2v = <29, 39>

Step-by-step explanation:

The component form of a 2-dimensional vector is usually written as an ordered pair with the horizontal component listed first. When vectors are added or subtracted, or multiplied by a scalar, the components are treated individually. Angle brackets may be used to signify the ordered pair represents a vector.

__

The horizontal and vertical dimensions of each of the vectors can be found by subtracting their coordinates, or by counting grid squares. Up or right is positive. The tail coordinates are subtracted from the head coordinates.

  u = <11 -2, 1 -(-6)>

  u = <9, 7>

  v = <13 -5, 6 -8>

  v = <8, -2>

__

The sum is the sum of the individual coordinates:

  u +v = <9, 7> +<8, -2> = <9 +8, 7 -2>

  u +v = <17, 5>

__

The weighted sum is the weighted sum of the individual coordinates:

  5u -2v = 5<9, 7> -2<8, -2> = <5(9) -2(8), 5(7) -2(-2)>

  5u -2v = <29, 39>

_____

Additional comment

Vector operations can often be conveniently done on a calculator by considering them as complex numbers. The vertical component corresponds to the imaginary component of a complex number.

Answer:

the second i think i dont know for sure

Answer:

Total Volume grain elevator holds - 20357.52

Volume needed for 100-acre field - This is all you need to find. If the volume is more than what the grain elevator can hold than there will need to be a rented one as well. If the volume of the grain is lower than what the grain elevator holds, than that's all you need.

Step-by-step explanation:

You have to find how much volume you would need to hold harvest from a 100-acre field.

Then you have to find how much volume is in the grain elevator.

In order to find the volume of the grain elevator you have to divide it up by the cylinder and the cone.

Cone volume - V=πr^2(h/3)

V=2035.75

Cylinder volume - V=πr^2h

V=18321.77

[tex]~~~~~37^x = 12\\\\\implies \ln\left( 37^x \right) = \ln(12)\\\\\implies x \ln (37) = \ln(12)\\\\\implies x = \dfrac{\ln(12)}{\ln(37)}\\\\\implies x \approx 0.689[/tex]

Answer:

5 days

Step-by-step explanation:

This problem is an inverse proportion case. Having two variables: number of workers and time (in days); when we increase the number of workers, the time needed decreases; vice versa. Therefore, we can use the multiplication method: (workers * time) will always stay constant.

Let's say the time (in days) needed by the eleven workers is t,

5*20 = (3*10) + (14*t)

100 = 30+14t

70 = 14t

5 = t

It will take the eleven-workers 5 more days to finish the road.