you Solve for x:
10
8
12

Answer:

Step-by-step explanation:

Let the number of hours driven by Maggie be x and that of Alan be y

If Maggie and Alan drive for a total of 32 hours, then;

x+y = 32 ..... 1

Also if Maggie drives three times the number of  hours that Alan drives on their vacation, then x = 3y ...... 2

Substitute eqn 2 into 1;

x+y = 32

3y+y = 32

4y = 32

y = 32/4

y = 8 hours

Since x = 3x

x = 3(8)

x = 24 hours

Hence Maggie drives for 24 hours and Alan drives for 8 hours

The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001

In a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.

Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.

The probability of guessing more than 20 correct is:

P(X > 20) = 1 - P(X ≤ 20)

Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).

Therefore: P(X > 20) = 1 - 0.9999 = 0.0001

So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).

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Answer: 1.5 x 10 x 10 (I think)

Step-by-step explanation:

10^2 = 10 x 10

1.5 x 10 x 10

Answer:

$24

Step-by-step explanation:

divide 10.80 by 9 to get 5% of the cost

45/9 = 5%

10.80/9 = $1.20

Multiply 1.20 by 20 to get 100% of the price

By definition of proportion, the value of x is,

⇒ x = 80

We have to given that;

In a triangle,

Perpendicular = 60

Now, By Pythagoras theorem we get;

60² = 36² + y²

3600 = 1296 + y²

y² = 3600 - 1296

y² = 2304

y = 48

Hence, By definition of proportion;

⇒ x / 48 = 60 / 36

⇒ x = 80

Thus, By definition of proportion, the value of x is,

⇒ x = 80

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Answer:

The formula for density (ρ) is:

Density (ρ) = Mass (m) / Volume (V)

Step-by-step explanation:

Where:

Answer:

Step-by-step explanation:

it is B

The indices for the directions are indicated by the two vectors in the following sketch - [1 0 0] and [ 2 0 3].

Miller Indices of Direction Vector:

The Miller indices of direction are rationalized components of the direction vectors taken in all crystallographic directions. They are indicated by [[u v w ]]. They are always defined as the smallest integers, so if they occur in fractional or decimal form, we need to convert them into the smallest integral value by algebraic manipulation.

The indices of direction 1.

Let the length of direction 1 along the x-axis be X units. The length of the vectors along the y and z axes is 0.

[ X 0 0 ]

⇒ \(\left[\begin{array}{ccc}0&0&0\\X'&X'&X'\\\end{array}\right]\)

Divide each length by X to convert it into the smallest integer.

⇒ [1 0 0]

And, this is the Miller indices of the direction vector 1.

So, the Miller indices of the direction vector 1 are [ 1 0 0].

Direction 2

The indices of direction 2.

Let the length of direction 2 along the x-axis be X units. The length of the vector along the y and z axes are 0.

[ 0.2 0 0.3 ]

⇒[ 2 0 3 ]

Multiply each fractional length by 10 to convert it into the smallest integer.

So, the Miller indices of the direction vector 2 are [ 2 0 3].

Therefore, The indices for the directions are indicated by the two vectors in the following sketch - [1 0 0] and [ 2 0 3].

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Answer:

z

Step-by-step explanation:

sdggsgsgdd

Answer:

im sorry

Step-by-step explanation:

i ned help on the same question

You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.

To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).

According to the given information, the total interest earned from both investments is $130. So we can set up the equation:

0.03x + 0.04($4000 - x) = $130

Simplifying the equation:

0.03x + 0.04($4000 - x) = $130

0.03x + $160 - 0.04x = $130

-0.01x = $130 - $160

-0.01x = -$30

x = -$30 / -0.01

x = $3000

Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

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Lets suppose that the numbers that the spy saw were 1,2,3,4,5,6 and by the question we know that the password has 7 digits, meaning that one of those number repets itself. We dont know wich one repets, so we need to keep that in mind. First, lets imagine that the number 1 repeats, so one of the possibilities is:

We can see that to find all the possibilities of passwords with 1 repeating is a permutation with repetition. So the amount of passwords that we can have is:

Now, we just need to calculate the possibilities when 2,3,4,5 or 6 repeats:

So, in total we have 15120 possibilities of passwords, so the probability of a spy getting the password first try is:

Answer:

A) 2p

(because DC is twice the size of AB. Hence why they're in the ratio of 2:1)

B) p+q

(Start from B, go backs against the arrow to the left and get - p, then + q and + 2p. Simplify -p+q+2p)

Hope this helps!

Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

\( \frac{2 }{5} \times 100 = \\ \)

\(40\)

Thus 40 percent of the starring players are taller than 6 feet.

9514 1404 393

Answer:

  8 in by 16 in

Step-by-step explanation:

In your equation, we presume that x represents the width. Solving for x, we have ...

  2x² = 128 . . . . . . given equation

  x² = 64 . . . . . . . . divide by 2

  x = √64 = 8 . . . . square root

The enlargement will be 8 inches by 16 inches.

Answer:

150.833... or 150 and 5/6 crates

Step-by-step explanation:

We can create an equation to solve this.

Let x represent the number of 120 kilogram crates that can be loaded into the chipping container.

120x (weight of the crates) + 5900 (weight already in the container) = 24000 (max weight in the container)

We'll start by subtracting 5900 from both sides to try to isolate x, the number of containers we still need to meet 24000 kilograms.

120x = 18100

Now we just have to isolate x by dividing by 120.

x = 150.83333333333333333333333333333

If you want to use a mixed fraction form for this solution since the 3's keep repeating, it would be 150 and 5/6 crates.

Answer:

-y-6/2

Step-by-step explanation:

Answer:

− y-6/2

Step-by-step explanation:

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

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The class width used for the frequency distribution is 6.

The class midpoint for the class 23-29 is 26.

The class midpoint for the class 30-36 is 33.

The class midpoint for the class 37-43 is 40.

To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:

23-29

30-36

37-43

For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:

Class width = 29 - 23 = 6

So, the class width for the frequency distribution is 6.

To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.

For the class 23-29:

Class midpoint = (23 + 29) / 2 = 52 / 2 = 26

For the class 30-36:

Class midpoint = (30 + 36) / 2 = 66 / 2 = 33

For the class 37-43:

Class midpoint = (37 + 43) / 2 = 80 / 2 = 40

So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.

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1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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Answer:

35

Step-by-step explanation:

LxWxH

2.5 x 14 x 1

=35

Answer:

Volume = 35\(cm^{3}\)

Step-by-step explanation:

Volume = length x width x height

Volume = 14 cm x 2.5 cm x 1

Volume = 35\(cm^{3}\)

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a) A negative number on the x-axis (-a, b) would move in the left direction by one unit.

To find out why, check point (0, b) on the y-axis and point (-a, b) on the x-axis.

The distance between these two points is a unit, meaning that the point (-a, b) is one unit to the left of the point (0, b).

b) A positive number on the x-axis (+a, b) would move in the right direction by a unit.

Again, let's look at the point (0, b) on the y-axis and the point (+a, b) on the x-axis.

The distance between the two points is also one unit, which means the point (+a, b) is one unit to the right of the point (0, b).

c) A negative number on the y-axis (a, -b) would move in the downward direction by b units.

Assume that point (a, 0) is on the x-axis and point (a, -b) is on the y-axis. The distance between them is b units, which means that the point (a, -b) is b units below the point (a, 0).

d) A positive number on the y-axis (a, +b) would move in the upward direction by b units.

Also, check the point (a, 0) on the x-axis and point (a, +b) on the y-axis. The distance between these two points is b units, which means that the point (a, +b) is b units above the point (a, 0).

A number is a mathematical term used to show the quantity or value of a thing. It can be depicted using numerals, symbols, or words.

Examples include 30, hundred, -8, 6x, "5", 0.67, etc.

Numbers can be Positive - numbers greater than zero, or negative - numbers less than zero.

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Answer:

The top left graph

Step-by-step explanation:

All the others are wrong

Answer:

the first one (top left)

go over however many numbers on the left side of the coordinate and up whatever is on the right its always x first y second

Step-by-step explanation: