Enter your answer and show all the steps that you use to solve this problem in the space provided. Use the binomial expression ( p + q ) n (p+q)n to calculate a binomial distribution with n = 5 and p = 0.3.

The experimental probability of rolling a 6 will be 13.3%

The probability will be calculated thus:

= Number of times that 6 occured / Total number if outcomes

= 4/(7 + 4 + 4 - 5 + 6 + 4)

= 4/30

= 0.133

= 13.3%

Therefore, the probability is 0.133 or 13.3%.

Table shows the results of rolling a die several times.

outcome: 1, 2, 3, 4, 5, 6

number of times outcome occurred: 7, 4, 4, 5, 6, 4

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Answer:

Solve v + 6 = 5v − 2 to find the value of v.

Step-by-step explanation:

Answer:

Option 3

Step-by-step explanation:

The correct method to find Meg's and Victor's ages is to equate the equations for their ages.

Hence. the answer is :

Solve v + 6 = 5v − 2 to find the value of v.

Answer:

86%

Step-by-step explanation:

each shaped area represent 1% so you divide or subtract the unshaped area with the shaped area.

Answer:

60 ft

Step-by-step explanation:

a = 90

b = 108ft

the base angle can be found by using sin(x) = 120/108x2

=> x = 33.7 degrees

To find height, use tan(33.7) = Opp/ Adjacent = x / 90

=> x = 60.02 or 60 ft

Answer:

y=21

Step-by-step explanation:

y= 9 cos x =3 so y=3 when x=1 on the base level so if x=7 would be x=1 on the base level * 7 then y=3 on the base level * 7 would be y = 21

A phrase that 18c can represent is the product of 18 and a number c

The expression is given as:

18c

Rewrite as:

18c = 18 * c

The above represents the product of two factors; 18 and c

Hence, a phrase that 18c can represent is the product of 18 and a number c

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Answer:

50%

the mean (46) marks the halfway point, so over the mean is 50% and under the mean is 50%

Answer:

12971

Step-by-step explanation:

13000-20-18 = 12971

Answer:

8060$

Step-by-step explanation:

20%+18%=38%

13000*38%=4940

13000-4940=8060 $

Answer:

88

Step-by-step explanation:

All of the numbers are in the thirties (30's) except for 88, so that is the outlier

Answer:

0.705

Step-by-step explanation:

| -1/2 - 1/8| + ( -3/4 + 5/6)

| -1/2 - 1/8| + ( -0.75 + 0.83)

| -1/2 - 1/8| + 0.08

| -0.5 - 0.125| + 0.08

|-0.625| +0.08

0.625+0.08

0.705

hope it helps

Using the probability concept, it is found that since the number of red sweets would be a decimal number, the probability cannot be [tex]\dfrac{7}{10}[/tex]

Probability 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.

In this problem:

The probability of red is:

[tex]p=\dfrac{n}{n+8}[/tex]

Supposing, we solve for n:

[tex]\dfrac{n}{n+8} = \dfrac{7}{10}[/tex]

10n = 7n + 56

3n = 56

n  =  56 / 3

n  =  18.67

Since the number of red sweets would be a decimal number, the probability cannot be 7 / 10

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Answer:

4.22675 cups are equal to 1000 milliliters

Step-by-step explanation:

1000 milliliters is equivalent to __4.22675__ cups

Hope This Helped

Answer:

4.22675

Step-by-step explanation:

Answer:

First,

the age of the son: s

the age of the father is 2 less than 7 times the age of his son: 7s - 2

In 3 years, the sum of their ages will be 52, In 3 years, the age of the sun will

increase 3, so s+3. Also, the age of his

father also increase 3, (7s-2)+3

(s+3)+ [(7s-2)+3] = 52 is the equation.

The correct answer is :

( 7s - 2 ) +3+ ( s + 3 ) = 52 , or 8s + 4 = 52 .

Since s is the son's age , " two less than seven times " the son's age would be represented by 7s - 2 .

To represent this in 3 years , we would add 3 : ( 7s - 2 ) +3 .

In 3 years , the son's age , s , would be represented by s + 3 . We are told that the sum of these ages will be 52 ; this gives us ( 7s - 2 ) +3+ ( s + 3 ) = 52 .

To simplify this , combine like terms .

7s + s = 8s ; -2 + 3 + 3 = 4 .

This gives us 8s + 4 = 52 .

Answer:it's 24

Step-by-step explanation:

its multiplying the 5, 6 times

Answer:

18 1/8

Step-by-step explanation:

4 7/8 x 4 = 23 1/2

23 1/2 - 5 3/8 = 18 1/8

The equation that could be used to determine the volume of Box B is (B = 14.325cm³ - 5.61cm³) and the volume of Box B is 8.715cm³.

This question is incomplete, the complete question is:

The sum of the volume of two rectangular prisms, box a and box b are 14.325cm cubed. Box a has a volume of 5.61cm.

a. Let B represent the volume of Box B in cubic centimeters. Write an equation that could be used to determine the volume of Box B.

b. Solve the equation to determine the volume of Box B

Volume is simply the amount of space that is enclosed within a container.

Given that;

a)

Let B represent the volume of Box B in cubic centimeters. The equation that could be used to determine the volume of Box B will be;

Sum of the volume of two rectangular prisms A&B = Volume of Box A + Volume of Box B

14.325cm³ = 5.61cm³ + B

B = 14.325cm³ - 5.61cm³

Hence, The equation that could be used to determine the volume of Box B is B = 14.325cm³ - 5.61cm³

b)

To determine the volume of Box B, we solve the equation.

B = 14.325cm³ - 5.61cm³

B = 8.715cm³

Hence, the volume of Box B is 8.715cm³.

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Answer:

Step-by-step explanation:

Answer:

The first one with the number 38

Step-by-step explanation:

Answer:

[tex] - 3x( - 4x + x) - x( - x - 2x) - 4x(4x + 3x) \\ \\ = 12 {x}^{2} - 3 {x}^{2} + {x}^{2} + 2 {x}^{2} - 16 {x}^{2} - 12 {x}^{2} \\ \\ = - 16{x}^{2} [/tex]

a. (2 - 2i√3)⁴ in polar form is 256(cos(-4π/3) + isin(-4π/3)) = 256cis(-4π/3)

b. (2 - 2i√3)⁴ in rectangular form is -128 + 128√3

To answer the question, we need to know what complex numbers are

Complex numbers are numbers of the form z = x + iy

Complex numbers in polar form z = r(cosθ + isinθ) where

Given that z = (2 - 2i√3)⁴ =

So,

So, converting to polar form

r = √(x² + y²)

= √[2² + (-2√3)²]

= √[4 + 4(3)]

= √[4 + 12]

= √16

= 4

θ = tan⁻¹(y/x)

θ = tan⁻¹(-2√3/2)

θ = tan⁻¹(-√3)

θ = -π/3

So, z = r(cosθ + isinθ)

= 4(cos(-π/3) + isin(-π/3))

A complex number z raised to power n is zⁿ = rⁿ(cosnθ + isin(nθ)]

z⁴ = (2 - 2i√3)⁴

= r⁴(cos4θ + isin4θ)

= 4⁴(cos(4 × -π/3) + isin(4 × -π/3))

= 256(cos(-4π/3) + isin(-4π/3))

= 256cis(-4π/3)

(2 - 2i√3)⁴ in polar form is 256(cos(-4π/3) + isin(-4π/3)) = 256cis(-4π/3)

The complex number z =  r(cosθ + isinθ) in rectangular form is z = x + iy where

Given that z⁴ = 256(cos(-4π/3) + isin(-4π/3)) in rectangular form,

x = rcosθ

= 256(cos(-4π/3)

= 256cos(-4 × 60°)

= 256cos(-240)

= 256cos(240)

= 256 × -1/2

= -128

y =  rsinθ

= 256sin(-4π/3)

= 256sin(-4 × 60°)

= 256sin(-240)

= -256sin240

= -256 × -√3/2

= 128√3

So, z⁴ = x + iy

= -128 + 128√3

So, (2 - 2i√3)⁴ in rectangular form is -128 + 128√3

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Answer:

648 in^2

Step-by-step explanation:

your must find the surface area of the rectangular prism

this can be modelled by

2(9 * 9) + 2(13.5 * 9) + 2(13.5 * 9)

or

2(9 * 9) + 4(13.5 * 9)

then you do whats inside the parenthesis

2(81) + 4(121.5)

and lastly you multiply and add

162 + 486 = 648

the answer is 648 in^2

Order matters is permutation

Order doesn't matters is combination

So

The correct combinations are

The graph represents a function because (a) Yes, because it passes the vertical line test.

The information that completes the question is added as an attachment

For a graph to represent a function, the graph must pass a vertical line test.

The vertical line test is such that a line drawn from the x-axis must intersect with the graph at only one point.

Based on the criteria above, the given graph would pass the vertical line test.

Hence, the graph represents a function because (a) Yes, because it passes the vertical line test.

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The conclusion is there is likely an association between the categorical variables because the sum of the relative frequencies is 1. 0.

Categorical variables are variables that can only take on a fixed number of values. An example of categorical variables is gender. One can either be a male or a female.

The sum of the categorical variables is 1. This indicates that the two variables are negatively correlated. It means that someone would be either pick one of the variables.

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Answer:

c

Step-by-step explanation:

Answer:

Triangle D.

Step-by-step explanation:

A scalene triangle has different sides.

Step-by-step explanation:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{6 - 2}{19 - 3} \\ = \frac{4}{16} \\ \boxed{slope = \frac{1}{4} }[/tex]

Answer: 18

Step-by-step explanation:

By the angle bisector theorem, [tex]\frac{x}{48} =\frac{12}{32} \longrightarrow x=\boxed{18}[/tex]

The exponent for the expression, 5 × 5 × 5 × 5 × 5, would be expressed as: [tex]5^5[/tex].

An exponent can be defined as the power to which the base is to b e raised.

For example, a × a × a can be expressed in  exponent form as a³.

In the same vein, given the expression, 5 × 5 × 5 × 5 × 5, we would expressed this in exponent form as: [tex]5^5[/tex].

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Answer:

B

Step-by-step explanation:

just find the equal difference of y values.

Step-by-step explanation:

to add to the explanation :

an arithmetic sequence is defined as

an = an-1 + d

so, every term of the sequence is created by adding the same constant d (the common difference) to the previous term.

therefore, you find the common difference by finding the difference of 2 sequential terms.

like here e.g.

a3 = 38

a4 = 53

53 - 38 = 15

bingo !

and to verify that it truly is an arithmetic sequence, we can quickly also check the differences between the other pairs. yes, they are all 15.

be prepared for a trap like

1 8

2 23

3 38

5 68

notice the sudden jump in x ? suddenly x is increased by 2.

that just means we compare

an and an-2 instead of an-1.

so, how is related to an-2 ?

an = an-1 + d = (an-2 + d) + d = an-2 + 2d

and so we would get

a3 = 38

a5 = 68

a5 - a3 = 2d = 30

d = 15

so, don't get confused by such jumps or gaps.