Question 28 of 45 V50​

Answer:

-7 feet

Step-by-step explanation:

-3-4 = -7, so it is -7 feet

The fraction is equal to 3/7

the sum of numerator and denominator is equal to 100

Let the numerator = x

Since, Numerator + Denominator = 100

x + Denominator = 100

Denominator = 100 - x

Thus, the fraction is in the form of;

Since it is given that the fraction is equal to 3/7

So,

Simplify the expression for x;

So, the numerator is 30

Since, Denominator = 100 - x

Substitute x = 30

Denominator = 100 - x

Denominator = 100 - 30

Denominator = 70

Thus, we have numerato = 30 denominator = 70

So, the resulting fraction is given as;

Answer: 30/70

In this situation, Allison's insurance company will pay a total of $400,000.

First, we need to add up the total amount awarded to the people injured in the accident. This is $40,000 x 4 + $80,000 x 2 + $160,000 x 1 = $400,000.

Next, we need to look at Allison's insurance policy. She has 50/250 bodily injury insurance, which means that the insurance company will pay up to $50,000 per person and up to $250,000 per accident.

Since the total amount awarded is $400,000, the insurance company will only pay the maximum amount allowed per accident, which is $250,000.

Therefore, the insurance company will pay $250,000 and Allison will be responsible for the remaining $150,000.

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Answer:

Bruno = 15 years

Mother = 8 + 2(15) = 38 years

Father = 38 + 3 = 41 years

Step-by-step explanation:

Given that :

Let

Bruno's age = x

Mothers age = 8 + 2x

Father's age = 8 + 2x + 3 = 2x + 11

x + 8 + 2x + 2x + 11 = 94

5x + 19 = 94

5x = 75

x = 75 /5

x = 15

Bruno = 15 years

Mother = 8 + 2(15) = 38 years

Father = 38 + 3 = 41 years

The approximate volume of sand in the container is about 0.2 gallons. To find the volume of the sand, we need to find the volume of the cylinder container. We can use the formula for the volume of a cylinder: V=πr²h.

First, we need to find the radius by dividing the diameter by 2: r = 12/2 = 6. So, the volume of the cylinder is: V = 3.14 x 6² x 10 = 1,128 cubic inches. To convert cubic inches to gallons, we divide by 231 (the number of cubic inches in a gallon): 1,128/231 ≈ 4.9 gallons. Rounding this to the nearest gallon gives us 5 gallons.

However, the child completely filled the container with sand, which means that some sand may have spilled over the top. So, it's safe to assume that the actual volume of sand in the container is slightly less than 5 gallons. We can estimate the volume to be about 0.2 gallons.

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Answer:

I would say -F=0.4

Step-by-step explanation:

if F=-0.4 and -F is the opposite of F then the opposite of -0.4 is 0.4

A college food court surveyed students to see how many drink tea and how many drink soda using the Venn Diagram:

In order to solve problems based on these sets, we may use a Venn diagram to depict the logical link between sets and their components. Although other closed figures like squares may be used, a Venn diagram commonly utilises intersecting and non-intersecting circles to indicate the relationship between sets.

A college food court surveyed 407 students to see how many drink tea and how many drink soda.

a.) The number of students who do not drink tea is

197 + 59 = 256

b.) The number of students who drink tea or soda or both is

88 + 63 + 197 = 348

c.) The number of students who drink tea but do not drink soda is 88.

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Complete question:

A college food court surveyed 407 students to see how many drink tea and how many drink soda. The Venn diagram below shows the results. (Each number gives the number of students who fall into that Venn diagram category.) -All students in the survey Drink tea Drink soda 88 63 197

(a) How many of the students drink soda ?

(b) How many of the students drink tea or soda (or both)? IS students

(c) How many of the students drink tea but do not drink soda?

Answer:

D

Step-by-step explanation:

John is 10cm taller than Peter, if Peter is h than John's height would be h+10 since it is Peter's height plus ten.

Answer: (5/24 , 169/48)

Step-by-step explanation:

this is the max and min

Answer:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x

x=−1/3,3/4

and if you're looking for

Use the formula x=−b2a to find the maximum and minimum.

(5/24,169/48)

Step-by-step explanation:

The probability that three of out nine cars need new brakes is 0.294  

Combination:

The combination is the process of selecting items from a group of objects where the order of objects does not matter. In simple words, we can say that it is a combination of n things in r times without repetition.

The formula for the combination of 'a' things from the set of n things without replacement is given

Here from the given problem,

Number of automobiles = 25

Number of automobiles that need new tune-ups = 15  

Number of automobiles that need new brakes = 10

Number of automobiles chosen at time = 9  

From above formula

The number of ways of selecting 9 cars from 25 cars

²⁵C₉ = 25!/9!(25 - 9)!

= 25!/9!(16)!  

= 2,042,975

The number of ways that can be chosen as 3 out of 9 cars that need breaks

Choosing 3 cars that need breaks from 10 cars = ¹⁰C₃

= 10!/3!(10 - 3)!  

= 10!/3!(7)!

= 120

Choosing the remaining 6 cars from the 15 groups of cars that need new tune-ups =  ¹⁵C₆

=  15!/6!(15 - 6)!  

=  15!/6!(6)!    

= 5,005

From above calculations

The number of ways that can be chosen as 3 out of 9 cars that need new  breaks  = 120 × 5,005

= 600600

As we know that

Probability of event = No of favorable outcomes / total outcomes  

The probability that three of them need new brakes

= 600600/2042975

= 0.294  

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The Normal model is a good approximation for the sampling distribution.

a) According to the Central Limit Theorem, the theoretical mean and standard deviation for a sample size of 20 should be 0.05 and 0.02, respectively. For a sample size of 100, the theoretical mean and standard deviation should be 0.05 and 0.01, respectively.

b) The observed mean and standard deviation for a sample size of 20 was 0.052 and 0.021, respectively. For a sample size of 100, the observed mean and standard deviation was 0.051 and 0.012, respectively. These values are fairly close to the theoretical values.

c) Looking at the histograms in Exercise 1, I would be comfortable using the Normal model as an approximation for the sampling distribution at a sample size of 100.

d) The Success/Failure Condition states that the sample size should be large enough for the sampling distribution of the sample proportions to be approximately normal. Since I chose a sample size of 100, which satisfied the condition, I can be confident that the Normal model is a good approximation for the sampling distribution.

The sample size of 100 is large enough for the sampling distribution of the sample proportions to be approximately normal, and the observed mean and standard deviation is close to the theoretical values. Therefore, the Normal model is a good approximation for the sampling distribution.

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Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

The correct expression that is equal to 4.6 is option c. [1.6 + (3 × 4)] – (2 ÷ 2)

Let's evaluate each expressions using the BODMAS rule of mathematics,

a. 1.6 + (3 × 4) – 2 ÷ 2

= 1.6 + 12 - 1

= 12.6

b. 1.6 + 3 × 4 – 2 ÷ 2

= 1.6 + 12 - 1

= 12.6

c. [1.6 + (3 × 4)] – (2 ÷ 2)

= [1.6 + 12] - 1

= 12.6

d. (1.6 + 3) × (4 – 2) ÷ 2

= 4.6 × 2 ÷ 2

= 4.6

BODMAS is an acronym used to remember the order of operations in mathematics: Brackets, Orders, Division, Multiplication, Addition, Subtraction. It is used to perform calculations in the correct order to obtain the correct result. Therefore, the correct answer is (c).

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Complete question - Which expression is equal to 4.6?

a. 1.6 + (3 × 4) – 2 ÷ 2

b. 1.6 + 3 × 4 – 2 ÷ 2

c. [1.6 + (3 × 4)] – (2 ÷ 2)

d. (1.6 + 3) × (4 – 2) ÷ 2

Translating the point (7,-2) onto (3,0) involves moving the point

The algebraic rule of the translation is (x-4, y + 2)

The given parameters are:

Pre-image = (7,-2)

Image = (3,0)

The transformation is a translation.

So, we have:

(x,y) = Image - Pre-image

This gives

(x,y) = (3,0) - (7,-2)

Evaluate the difference

(x,y) = (-4,2)

Hence, the algebraic rule of the translation is (x-4, y + 2)

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The magnitude of the x-component of this vector is 9.05m.

The angle of inclination of the vector is calculated as;

θ = 90 ⁰ - 48.4 ⁰

θ = 41.6 ⁰

The magnitude of the x-component of the vector is calculated as;

Vx = 12.1 m x cos ( 41.6 )

Vx = 9.05 m

A vector can be represented by an ordered set of numbers, called components, that indicate the magnitude and direction of the vector in a particular coordinate system. The components of a vector can be added or subtracted using vector addition and subtraction, and multiplied by a scalar (a real number) using scalar multiplication.

Vectors can be visualized as arrows in a two- or three-dimensional space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. Vectors can also be represented as matrices, which can be used to perform various operations on vectors, such as dot product and cross product.

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Complete Question:-

The probability that a randomly selected American plans to stay home or travel by car over the next holiday weekend given the information that 9.35% of Americans plan to travel by car and 88.6% plan to stay home. The probability of staying home or traveling by car over the next holiday weekend is given by the addition of probabilities of these events.

P(stay home or travel by car) = P(stay home) + P(travel by car)P(stay home or travel by car) = 0.886 + 0.0935P(stay home or travel by car) = 0.9795Therefore, the probability that a randomly selected American plans to stay home or travel by car over the next holiday weekend is 0.9795.

The value of probability does not equal 1 because some Americans traveled by other means.

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Answer:

Bus 18 is more consistent than Bus 47 based on the IQR, which is smaller for Bus 18 (16) compared to Bus 47 (24), indicating less spread of data between the 25th and 75th percentiles.

Step-by-step explanation:

Answer: The correct option regarding which bus has the least spread among the travel times is given as follows:

Bus 14, with an IQR of 6.

How to obtain the measures of spread?

First, we consider the dot plot, which shows the number of times that each observation appears in the data set.

Then we consider the interquartile range, which gives the difference between the third quartile and the first quartile of the data set.

The interquartile range is a better measure of spread compared to the range of a data set, as it does not consider outliers.

For groups of 15 students, we have that:

The first half is composed of the first seven students, hence the first quartile is the fourth dot, which is the median of the first half.

The second half is composed of the last seven students, hence the first quartile is the eleventh dot, which is the median of the first half.

The quartiles for Bus 14 are given as follows:

Q1 = 12.

Q3 = 18.

Hence the IQR is of:

IQR = Q3 - Q1 = 18 - 12 = 6.

The quartiles for Bus 18 are given as follows:

Q1 = 9.

Q3 = 16.

Hence the IQR is of:

IQR = Q3 - Q1 = 16 - 9 = 7.

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Subtract the numbers

(3+(8-2)). x5

[3+6)]. x5

Add the numbers

[3+6]. x5

[9]. x5

Answer:

I speak english srry

Step-by-step explanation:

I attached a diagram that will aid the understanding of the question.

Firstly, I would love to review what a scale factor is before going into the question.

If you have two shapes that are similar, that is they have corresponding angles, then the scale factor of one to the other is simply the ratio of any two corresponding lengths in the two similar geometric figures.

Looking at these figures in the question, we see that R is an enlargement of the other rectangles while Q is an enlargement of P and S. With this information we can answer the questions:

1. From P to Q, the scale factor greater than one because Q is bigger than P.

2. From P to R, the scale factor is greater than one for the same reason.

3. From Q to S, the scale factor is less than one because S is smaller than Q.

4. From Q to R, the scale factor is greater than one because R is bigger than Q.

5. From S to P, the scale factor is equal to one because they are equal.

6. From R to P, the scale factor is less than one because p is smaller than R.

7. From P to S, the scale factor is equal to one because they are equal.

Answer:

x = 120 x =24

Step-by-step explanation:

The scale factor of ΔABC to ΔDEF is 3.

Option A is the correct answer.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

When two triangles are similar the ratio of their corresponding sides is equal.

We have,

ΔABC ≈ ΔDEF

This means,

The ratio of the corresponding sides must be equal.

Now,

We can consider any corresponding sides where both measures are given.

We see that,

BC and EF measures are given so we take the ratio of their two corresponding sides.

So,

BC/EF = 21/7 =3

Thus,

The scale factor of ΔABC to ΔDEF is 3.

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Answer:

SAS

Step-by-step explanation:

SAS. THEY HAVE OPPOSITE CONGRUENT SIDES, CONGRUENT ANGLES, AND A SHARED SIDE

The set S = {x|3 ≤ x < 8} can be described using interval notation as [3, 8),

From the question, we have the following parameters that can be used in our computation:

S = {x|3 ≤ x <8}

The set S = {x|3 ≤ x < 8} can be described using interval notation as [3, 8),

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Answer:

Your friend is correct and its 15

Step-by-step explanation:

15 = 3*5

30 = 2*3*5

GCF = 3*5 = 15

Answer: The number of speeding tickets issued is represented by x and the number of tickets for failure to obey traffic signals is represented by y. The total number of tickets issued is 130, so we have:

x + y = 130

The total amount of money collected in fines is $8,710.00, so we have:

67x + 67y = 8710

These two equations form a system of linear equations that can be used to determine the number of speeding tickets, x, and the number of tickets for failure to obey traffic signals, y. To solve this system, we can use any of the methods for solving a system of linear equations, such as substitution, elimination, or matrices.

Step-by-step explanation:

The values they represent for each of the five data types shown are below.

What is hexadecimal numbers?

The base-16 numbering scheme is known as hexadecimal. Consequently, this system uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 15. That implies that the two-digit decimal numbers 10, 11, 12, 13, 14, and 15 cannot exist in this numbering system unless they are represented by a single numeral.

For x434F4D50

Unsigned binary - 0000 0100 0011 0100 1111 0100 1101 0101 0000

1's complement - 1111 1011 1100 1011 0000 1011 0010 1010 1111

2's complement 1111 1011 1100 1011 0000 1011 0010 1011 1111

IEEE 754 Floating point - 207.302001953125

ASCII string -COMP

For x55544552

Unsigned integer: 0000 0101 0101 0101 0100 0100 0101 0101 0010

1's complement 1111 1010 1010 1010 1011 1011 1010 1010 1101

2's complement1111 1010 1010 1010 1011 1011 1010 1010 1110

IEEE floating point 1.4587137097728E13

ASCII string: UTER

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Subtraction is a mathematical operation that reflects the removal of things from a collection. The boulder.co bought 104 fishing rods.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given the cost price of all the fishing rods is $23,000, also the selling price of all the fishing rod is $49,000. Therefore, the total profit from this transaction is,

Profit = $49,000 - $23,000 = $26,000

Since the profit on a single fishing rod is $250, while the total profit is $26,000. Therefore, the number of fishing rods can be written as,

Number of Fishing rod = Total profit/ Profit per rod

                                      = $26,000 / $250

                                      = 104

Hence, the boulder.co  bought 104 fishing rods.

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