Jerry and Katy ask students how far they live from school. The graphs show the data each person has collected. Distance from School - Jerry's Study 0 1 2 3 4 5 6 7 8 9 10 11 Number of miles Number of students Distance from School - Katy's Study 210987OSTMNTO 3 0-2 3-5 6-8 9-11 Number of miles​

Answer:

3a-3b

Step-by-step explanation:

Answer:

See Below :)

Step-by-step explanation:

Area of triangle: 1/2(3)(4) = 6 square units

Area of rectangle: (3)(3) = 9 square units

Total area: 9 + 6 = 15 square units

Answer:

area of square= 9 (3 times 3)

area of triangle= 6 (4 times 3 divided by 2)

area of figure= 15 (9+6)

Answer:

21.7(0)

Step-by-step explanation:

Divide 15.50 by 5, which gets you to 3.1

Multiply 3.1 by 7, and get 21.7

Hope this helps ^^

Answer:

21.70

Step-by-step explanation:

15.50 devided by 5 then multiplied by 7

The value of the expression is the same as the second option: !a || (b & !c).

Boolean variables are variables that can have only one of two possible values: true or false. They are named after the 19th-century mathematician George Boole, who developed a system of logic based on binary values. In computer programming, boolean variables are commonly used to represent conditions or states that can be either true or false, such as whether a certain condition is met or whether a certain task has been completed.

The expression !(a & !(b & !c)) can be simplified using De Morgan's laws and distributive property to obtain:

!(a & !(b & !c)) = !a || (b & !c)

Therefore, the value of the expression is the same as the second option: !a || (b & !c).

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the option that is closest to the volume of the sugar container would depend on the provided options. Please provide the options to determine the closest one.

To find the volume of the cylindrical container, we can use the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height.

Given that the diameter is 4 inches, the radius is half of that, which is 2 inches. The height is given as 12 inches.

Substituting the values into the formula, we get:

V = π(2²)(12) = 48π cubic inches.

To compare the volume to the given options, we need to approximate the value of 48π. Using a calculator, we find that 48π is approximately 150.796 square inches.

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The value of x is 120° .

Given,

In triangle HGF,

HF and FG and are equal in length and ∠G is 60° .

Now,

If the sides are equal there angles will be equal.

So,

FG and FH are equal thus angle ∠H will be equal to 60° .

Sum of all the interior angles of triangle is 180° . Thus ∠F will be equal to 60° .

Now,

∠H and x° will form linear pair.

∠H + x°  = 180°

x = 120° .

Hence all the angles of the triangle are obtained.

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Answer:

Need to be more specific. What units?

Step-by-step explanation:

Answer:

C. h + k (t - 1)

Step-by-step explanation:

If we use an example, you can plug in the numbers and test out which equation works. Say the first hours costs $10 and each hour after that is an additional $5. If someone rents a jet ski for 4 hours, how much did it cost?

The first hour = $10

The 3 additional hours (totaled) = $15

Cost = $25

So now that we know the cost, we can plug in our numbers to these equations to find which one comes out with $25.

h = 10

k = 5

t = 4

A. 10 + 4 + 5 = 19

B. 10 + (4 · 5) = 10 + 20 = 30

C. 10 + 5 (4 - 1) = 10 + 5 (3) = 10 + 15 = 25

D. 10 + 5 (4 + 1) = 10 + 5 (5) = 10 + 25 = 35

E. 10 + (4/5 - 1) = 10 + (-0.2) = 9.8

C is the only problem that comes out as $25, therefore it must be the correct answer.

The new differential equation modeling the population of the island P is P′=3(M−P)−7.  

Given,  the population of Cook island is modeled by a logistic equation

P′=k(M−P) with growth rate k=3 and carrying capacity M=6000 with time t in years.

Starting in the year 2000, 7 citizens of Cook island have left every year to become mathematicians, never to return.To determine the new differential equation modeling the population of the island P, we need to modify the logistic equation as follows:

For every year since 2000, the population has decreased by 7.

Therefore, the equation that models the decrease in population is -7, and it has to be subtracted from the original equation.

Therefore, we obtain the new differential equation as P′=3(M−P)−7.

The above equation models the rate of change of population for Cook island.

Thus, the new differential equation modeling the population of the island P is P′=3(M−P)−7.

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Let's solve for i.

54−(

1

7

y)(i)=9x−4

Step 1: Add -54 to both sides.

−1

7

iy+54+−54=9x−4+−54

−1

7

iy=9x−58

Step 2: Divide both sides by (-y)/7.

−1

7

iy−y7=

9x−58−y7i=

−63x+405y

Answer:i=

−63x+406y

The simplest form of the given ratio 32 min : 36 min is equal to  

option a. 8 : 9.

Ratio  is equal to

32 min : 36 min

Factors of 32 are = 1, 2, 4, 8, 16, 32

Factors of 36 are = 1, 2, 3, 4, 6, 9, 12, 18, 36

Greatest common factor of 32 and 36 is equal to 4

Simplest form of the given ratio is equal to

32 min : 36 min

= ( 8 × 4 ) min : ( 9 × 4 ) min

'4' get cancelled with other we get,

= 8 min : 9 min

Therefore, the simplest form of the given ratio by taking out common factors is equal to option a. 8 : 9 .

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Answer: If you roll two fair six-sided dice, the probability that the sum is 5 or lower is 5/18.

Explanation: Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x

Let ‘x’ be the number on the first dice.

‘Y’ be the number on second dice.

We have to find the probability that the sum is 5 or lower i.e. (x + y) <= 5.

Total number of possible results from two six-sided dice is 6 × 6 = 36.

The possible results that the sum is lower than 4 is (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2) and (4,1).

Number of possible results for the sum is 5 or lower is 10.

The probability that the sum is 5 or lower = 10/36

=5/18

Therefore, the probability that the sum is 5 or lower is 5/18.

Answer: The answer is A. It is located at -25 and is to the right of point A on the number line.

Step-by-step explanation:

On a number line, the number ZERO is in the middle. The positive numbers increase to the right meanwhile the negative numbers increase to the left.

Answer:

Step-by-step explanation:

6a²b-15ab²

=ab(6a-15b)

=3ab(2a-5b)

Answer:7x−23=7x−23

49°=7x−23

3x=3x

11y−1=11y−1

Step-by-step explanation:

Answer: $359.95

Step-by-step explanation:

A distribution in which all the values have the same frequency is called a rectangular distribution. This type of distribution is also known as a uniform distribution ,

because the probability of any given value occurring is equal to every other value in the distribution. Rectangular distributions can be represented graphically by a flat, straight line that runs across the entire range of values, indicating that each value has an equal chance of occurring.

This type of distribution is commonly used in probability and statistics, as well as in financial analysis and risk management. While rectangular distributions are relatively simple and easy to understand, they may not always accurately reflect the true nature of a dataset, particularly if there is a significant amount of variation or outliers.

It is important to note that bimodal and standard distributions have different properties and are not the correct terms for this scenario. Bimodal refers to a distribution with two distinct peaks, while standard distribution typically refers to a normal distribution with a mean of 0 and a standard deviation of 1.

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Answer:

60°

Step-by-step explanation:

To find the angle of the terminal side through a point P on the unit circle, we can use the coordinates of the point. The angle is given by the inverse tangent (atan) of the y-coordinate divided by the x-coordinate.

The point P is given as (√15/5, √10/5)

Using the arctan function we have:

theta = arctan(√10/5/√15/5) = arctan(√2/√3)=atan(√2/√3) = pi/3

The angle theta is in radians, to convert it to degree we multiply it by 180/pi

Theta = (pi/3) * (180/pi) = 60. Therefore, the angle of the terminal side through the point P is 60°.

For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

A coincidental discrepancy between the observed and true values of anything is known as a random error (e.g., a researcher misreading a weighing scale records an incorrect measurement).

It's not always a mistake when there is random error; rather, it happens when measurements are made. Even when you measure the same item repeatedly, there will always be some variation in your results because to changes in the environment, the instrument, or your own perceptions.

Your measurements are equally likely to be greater or lower than the genuine values due to random error, which has unexpected effects.

According to the given data,

For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

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Given:

One of the angle of a triangle is 104°.

The objective is to find the missing angle x.

If two sides of a triangle are equal, then it is an isosceles triangle.

In an isosceles triangle, the angle formed by the equal sides is also equal.

Then, the value of angle x can be calculated angle sum property of triangle.

Hence, option (A) is the correct answer.

Answer:

Each time, 5 is being subtracted. The next numbers in the sequence are -13, -18, -23.

Step-by-step explanation:

please give brainliest

Here are three different ways Grace could have distributed her time on chores:

Sweeping Floor: 15 minutes, Putting Dishes Away: 23 minutes.

Sweeping Floor: 17 minutes, Putting Dishes Away: 21 minutes.

Sweeping Floor: 19 minutes, Putting Dishes Away: 19 minutes.

Here are three different ways to distribute the time Grace spent on her chores:

Time Sweeping Floor: 15 minutes

Time Putting Dishes Away: 23 minutes

Time Sweeping Floor: 19 minutes

Time Putting Dishes Away: 19 minutes

Time Sweeping Floor: 21 minutes

Time Putting Dishes Away: 17 minutes

The total time spent on chores in all three scenarios adds up to 38 minutes, as given in the problem.

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Answer:

18

Step-by-step explanation:

Take the original price and multiply by the percent

45*60%

45*.60

27  - this is the amount of the reduction

Subtract this amount from the original price to get the new amount

45-27

18 - this the new price

Answer: mean: 32.375 median: 30 mode: 30 range: 39

Step-by-step explanation:

The outcome in sample space is equal to the no. of ways of selecting 3 balls at random from 10 distinct balls. So, number of outcomes in sample space = ¹⁰C₃.

Permutation:

Permutations are different ways of arranging objects in a particular order. This can also be expressed as rearranging the elements in linear order of an already ordered set. The symbol are used to denote the number of permutations of n distinct objects obtained for each r. Block bus, train and plane timetables, postcode and phone number assignments. These are some situations where permutations are used.

Example: There are 5 chairs and 3 people need to sit on them. There are 5 ways to place the first person. 2nd person 4 seats, 3rd person 3 seats. So to find the number of ways to place her 3 on 5 chairs, multiply these ways. Make 5×4×3 streets. So we can do it 60 ways. 5 × 4 × 3 is written as (5!) / (2!) (or) (5!) / (5 - 3).

A combination is a selection of elements from a set with different members, so the order of selection does not matter (unlike a permutation). For example, if he is given three fruits, such as apples, oranges, and pears, he has three binary combinations that he can draw from this set. An apple and a pear. apples and oranges. Or pear and orange. More formally, a k-combination of a set S is a subset of the k distinct elements of S. Two combinations are identical only if each combination has the same members.

According to the Question:

The outcome in sample space is equal to the no. of ways of selecting 3 balls at random from 10 distinct balls. So, number of outcomes in sample space = ¹⁰C₃.

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Answer:

if the height is h and the base is 2b

then we have:

½(2bh)=60→2bh=120

b²+h²=13²=169

so

(b+h)²=b²+h²+2bh=120+169=289

(b-h)²=b²+h²-2bh=169-120=49

so

b+h=17

|b-h|=7

so b can be 12 and h can be 5

or b can be 5 and h can be 12

which means the base is either 24cm or 10cm

To get all whole number subscripts in the empirical formula, you would need to multiply the subscripts by a common factor that will give you the smallest possible whole numbers. In this case, you would need to multiply all subscripts by 3 to get C8H9O3.

This is because 2.67 is approximately equal to 8/3, 3 is approximately equal to 9/3, and 1 is equal to 3/3. Multiplying by 3 will simplify the subscripts and give you a whole number ratio of atoms in the empirical formula. This method works for any pseudo-formula with non-whole number subscripts, as long as you find a common factor to multiply by that will give you whole numbers.

In this case, you can divide each subscript by the smallest one (1) to get the ratio: C2.67: H3: O1. Now, find the smallest whole number that can convert 2.67 into a whole number when multiplied. In this case, that number is 3. So, multiply all subscripts by 3:

C(2.67 x 3)H(3 x 3)O(1 x 3) = C8H9O3

This gives you an empirical formula of C8H9O3.

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