Sally had 94$ to spend on 7 books. After buying them she had 17$, how much money did each book cost?

The probability, when x = 4, in a binomial probability distribution with n = 8 and p = 0.20, is 0.1653.

In a binomial probability distribution, the formula to calculate the probability of a specific value is P(x) = C(n, x) * p^x * (1 - p)^(n - x), where P(x) is the probability, n is the number of trials, x is the desired value, p is the probability of success in a single trial, and C(n, x) represents the binomial coefficient.

In this case, we are given n = 8 (the number of trials) and p = 0.20 (the probability of success in a single trial). We want to calculate the probability when x = 4.

Plugging these values into the formula, we have P(4) = C(8, 4) * (0.20)^4 * (1 - 0.20)^(8 - 4). Using the binomial coefficient, C(8, 4) = 70, we can simplify the equation further: P(4) = 70 * (0.20)^4 * (0.80)^4.

Evaluating the equation, we find that P(4) = 0.1653.

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Answer:

6

Step-by-step explanation:

3 x 2 x 1

first strip you can have 3 options

second only 2 options left

last one, only 1 choice

RBY

RYB

BRY

BYR

YRB

YBR

Answer:

6 flags

Step-by-step explanation:

The flag must have stripes of 3 different colors.

Ways to arrange each stripe :

Stripe 1 x Stripe 2 x Stripe 3

Using Algebraic expression , Tebogo will pay R52 200 after a year if Tebogo pays R4 350 a month for a house that she is ranting.

A combination of variables and constants is an algebraic expression.

A mathematical expression known as an algebraic expression can include exponents, parenthesis, variables, integers, and arithmetic operators (such as addition, subtraction, multiplication, and division).

Tebogo's payment after a year will be determined by multiplying the monthly payment by the 12 months that make up a year.

Amount Tebogo will pay in a year = 12 x R4 350 = R5 2200

Therefore, Tebogo will pay R52 200 after a year if Tebogo pays R4 350 a month for a house that she is ranting.

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Answer:

The dividing of both functions results in a variable being in the denominator of a fraction. As a polynomial expression cannot have a fraction in the denominator, f(x)/g(x) is the answer.

9514 1404 393

Answer:

  Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.

Step-by-step explanation:

The standard form has mutually prime integer coefficients, with the leading coefficient positive. Clearing Katrarina's fraction of 2/3 can be accomplished by multiplying the equation by 3/2, as Sofiya advised.

The standard form is ...

  6x -y = 12

Answer:

answer is 1

Step-by-step explanation:

Answer:

\(x = \frac{1}{3} \)

Step-by-step explanation:

Recopilar términos semejantes:

\(6x = 2\)

Divide ambos lados de la ecuación por 6:

\( \frac{6x}{6} = \frac{2}{6} \)

Por lo tanto, la respuesta será x = 1/3

The expression that will help to calculate the area of the figure is A = (n-6)² and the area will be 25 units² when n = 11.

A term may be a number, a variable, the product of two or more variables, a number and a variable, or any combination of these.

A single term or a collection of phrases can be used to create an algebraic expression.

For instance, 4x and y are the two terms in the formula 4x + y.

So, we have a square as a figure.

The side of the figure is (n - 6).

Now, the expression to find the area of the square will be:

A = (n-6)²

Now, evaluate when n = 11 as follows:

A = (n-6)²

A = (11-6)²

A = (5)²

A = 25 units²

Therefore, the expression that will help to calculate the area of the figure is A = (n-6)² and the area will be 25 units² when n = 11.

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The company spends $649 on advertising

The sales function after advertising is given as:

\(S(x) = 5 + 7\ln(x + 1)\)

When the total sales is $19,100, we have S(x) = 19100

So, the sales function becomes

\(5 + 7\ln(x + 1) = 19.1\)

Subtract 5 from both sides

\(7\ln(x + 1) = 14.1\)

Divide both sides by 7

\(\ln(x + 1) = 2.014\)

Take exponents of both sides

\(x + 1 = e^{2.014\)

\(x + 1 = 7.49\)

Subtract 1 from both sides

\(x= 6.49\)

Hence, the company spends $649 on advertising

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Step-by-step explanation:

Hey there!

Simply use the formula for midpoint to solve it.

Here, The given points are (6,5) and (-4,12).

Using midpoint formulae,

\((x,y) = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )\)

Put all values.

\((x,y) = ( \frac{6 - 4}{2} , \frac{5 + 12}{2} )\)

Simplify them to get answer.

\((x,y) = ( 1, \frac{17}{2} )\)

Therefore the midpoint is (1,17/2).

Hope it helps...

Answer:

J

Step-by-step explanation:

shifts to the right by 1

The given lines of equations are not perpendicular to each other. Therefore, `θ = cos⁻¹(8/(4√10))` which is approximately `28.07°`.Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

Given lines of equations:

x = −2 + 2t, y = −6, z = 2 + 6tx=−1+t,y=1+t,z=t, t∈ R.

Firstly, we need to find the direction vectors of the two given lines.For the first equation,Let `t=1`, then the point on the line is `(-2+2(1), -6, 2+6(1))`=`(0, -6, 8)`.

Let `t=2`, then the point on the line is

\(`(-2+2(2), -6, 2+6(2))`=`(2, -6,\)14)`.T

herefore, direction vector `

\(v1 = (2, -6, 14)-(0, -6, 8)`=`(2, 0, 6)`\)

For the second equation, direction vector \(`v2 = (1, 1, 1)`.\\\)

Let the angle between the direction vectors `v1` and `v2` be `θ`.

Then, we know that `v1 • v2 = |v1||v2| cosθ`, where `•` represents the dot product of the vectors, and `|.|` represents the magnitude of the vector.

Thus, we have:

(2, 0, 6) • (1, 1, 1) = √(2²+0²+6²)√(1²+1²+1²) cosθ

=> 8 = √40√3 cosθ=> cosθ = 8/(4√10)

Therefore,

`θ = cos⁻¹(8/(4√10))`

which is approximately `28.07°`.

Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

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Claude will use 1197 square centimeters of labeling material to cover the lateral surface of 5 cylindrical bug spray cans.

A three-dimensional object's lateral surface area is its total surface area minus its top and bottom surfaces. The lateral surface area of a cylinder, for instance, would be the area of the curved side of the cylinder. In geometry and engineering, the lateral surface area is frequently used to determine how much material is required to cover or build an object's sides. Depending on the geometry of the item, many formulae may be used to compute the lateral surface area, which is often expressed in square units (such as square centimetres or square feet).

Given the dimensions of the cylindrical can we have the lateral surface area of cylinder as:

Lateral surface area = 2πrh

Substituting the value r = 3 and h = 12.7 we have:

Lateral surface area = 2π(3)(12.7) = 239.4 square centimeters

A total of 5 cans need to be covered thus,

Total labeling material = 5 x 239.4 = 1197 square centimeters

Hence, Claude will use 1197 square centimeters of labeling material to cover the lateral surface of 5 bug spray cans.

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Answer:

9

Step-by-step explanation:

i can not really tell what letters are on the picture but i think it is 9

Answer:

slope = 3

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (2, 13) ← 2 ordered pairs from the table

m = \(\frac{13-4}{2-(-1)}\) = \(\frac{9}{2+1}\) = \(\frac{9}{3}\) = 3

The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

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Answer:

45

Step-by-step explanation:

45/5=9

Based on the information given, the percentage of time that'll be required to meet the policy will be 10%.

From the complete information, the probability distribution will be:

= 1/(b - a) = 1/(30 - 10) = 1/20

Since the company policy requires employees to be less than 12 minutes late for work, the percentage of the time that Oliver will meet company policy will be:

= (12 - 10) × 1/20

= 2 × 1/20

= 1/10

= 10%

In conclusion, the correct option is 10%.

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Answer:

It would be 177.8 cm!!

Step-by-step explanation:

Answer:

177.8 CM

Step-by-step explanation:

70 x 2.54

= 177.8

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

x=6

Hopefully it is correct and I tried my best good luck

Answer:

15

you can use the equation p = 2l+2w to find the width of the rectangle

Step-by-step explanation:

perimeter of a rectange  p = 2l+2w

l = length

w = width

p = perimeter

it tells you the perimeter is 50 so p=50

it also tells you the length is 10

solve for w (width)

50 = 2(10)+2w

50 = 20+2w

30 = 2w

15 = w

width is 15

Answer:  430000

Step-by-step explanation: you have to do pemdas

Answer: 430,000. /four hundred thirty thousand

Step-by-step explanation:

The value of 4.3 x 10^5 is 430,000.

To understand this, the notation 4.3 x 10^5 represents a number in scientific notation, where 4.3 is the coefficient or significand, and 10^5 is the exponent. The exponent of 10 tells us how many places to move the decimal point to the right. In this case, the exponent 5 means we need to move the decimal point five places to the right.

Starting with 4.3, we move the decimal point five places to the right to get 430,000. So, 4.3 x 10^5 is equivalent to 430,000.

Answer:

The total number of possible outcomes if the code has 3 letters is 64

Step-by-step explanation:

The keypad has only the letters A-D, that is, A,B,C,D.

To calculate the total number of possible outcomes if the code has 3 letters,

let these spaces represent the code _ _ _

For the first space, there are 4 possibilities (since we have 4 letters)

For the second space, we also have 4 possibilities (since there is no restriction on repetition)

Also, we have 4 possibilities for the last space.

Hence, the total number of possible outcomes if the code has 3 letters is 4×4×4 = 4³ = 64.

There are 64 total possible outcomes if the code has 3 letters

The number of letters is given as:

n = 4

The code makes use of three letters.

This means that:

So, the number of possible outcomes is:

Outcomes = 4 * 4 * 4

Evaluate the product

Outcomes = 64

Hence, there are 64 total possible outcomes if the code has 3 letters

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An example of a sample space S could be rolling a fair six-sided die, where each face has a number from 1 to 6.
Let's define three events:
- E1: Rolling an even number (2, 4, or 6)
- E2: Rolling a number less than 4 (1, 2, or 3)
- E3: Rolling a prime number (2, 3, or 5)
To verify that these events are pairwise independent, we need to check that the probability of the intersection of any two events is equal to the product of their individual probabilities.
1. E1 ∩ E2: The numbers that satisfy both events are 2. So, P(E1 ∩ E2) = 1/6. Since P(E1) = 3/6 and P(E2) = 3/6, we have P(E1) × P(E2) = (3/6) × (3/6) = 9/36 = 1/4. Since P(E1 ∩ E2) = P(E1) × P(E2), E1 and E2 are pairwise independent.

2. E1 ∩ E3: The numbers that satisfy both events are 2. So, P(E1 ∩ E3) = 1/6. Since P(E1) = 3/6 and P(E3) = 3/6, we have P(E1) × P(E3) = (3/6) × (3/6) = 9/36 = 1/4. Since P(E1 ∩ E3) = P(E1) × P(E3), E1 and E3 are pairwise independent.

3. E2 ∩ E3: The numbers that satisfy both events are 2 and 3. So, P(E2 ∩ E3) = 2/6 = 1/3. Since P(E2) = 3/6 and P(E3) = 3/6, we have P(E2) × P(E3) = (3/6) × (3/6) = 9/36 = 1/4. Since P(E2 ∩ E3) ≠ P(E2) × P(E3), E2 and E3 are not pairwise independent.
Therefore, we have found an example where E1 and E2, as well as E1 and E3, are pairwise independent, but E2 and E3 are not pairwise independent. Hence, these events are not mutually independent.

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Two reasons that multiple regression designs cannot completely establish causation are: 1) correlation does not imply causation, and 2) the presence of confounding variables.

1) Correlation does not imply causation: Multiple regression designs can help identify correlations between variables, but correlation alone does not prove causation. There could be other factors at play, or the observed relationship could be due to chance.

2) Presence of confounding variables: Confounding variables are variables that affect both the independent and dependent variables, leading to a spurious association. In multiple regression designs, it is possible that not all confounding variables are accounted for, which can lead to inaccurate conclusions about the causal relationship between variables.

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