Directions: Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.Solve for x.( + 0.5) + 5.24 = = + ( + 2.2)The value of x is

The correct statement about the function is the y-intercept is (0.71), and 71 represents the starting temperature.

A graph can be described as a pictorial representation of data. A graph has a y-axis and a x-axis. The x-axis in this question represents time and the y-axis is the temperature.

The function shown in the graph is a linear function. This is because the curve is a straight line.  The y-intercept is the point where the line crosses the y-axis. The y-intercept is the value of the data set when x is zero. The y-intercept represents the initial temperature or the starting temperature.

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Answer: The slope-intercept form for a line with the coordinates of (-2,-1) and (-1,-2) is:

y= -1.00x + -3.00

(results are in decimal form, rounded to the nearest 100th)

i hope i helped it is for if it was for like slope intercept form

Step-by-step explanation:

1. 3.2673 is the expected number of ticket holders that will fail to show for the flight.

2.  0.425  is the probability that the airline will not have enough seats for all the ticket holders who show for the flight.

P(airline will not have enough seats for all the ticket holders who show for the flight) = P(more than 267 people show up for the flight)

p = P(will show for flight) = 1 - 0.04 = 0.96

n = 278

µ = n * p = 278 * 0.96 = 266.88

   σ = [tex]\sqrt{ n*p* (1 - p)} = \sqrt{278 * 0.96 * 0.04} = 3.2673[/tex]

P(X > 267)  =  P(X > 267.5)

                          p(x-  µ) / σ  > 267.5-  µ /σ

                   = P(Z> 267.5 – 266.88/ 3.2673 )

                   = P(Z > 0.19)

                    = 0.425.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means.  To understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

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Given a sample of the size, measured in square feet, of 17 faculty offices.

1) Mean

To calculate the mean of the sample you have to add all observations of the data set and divide it by the sample size:

The mean square footage is 131.5 ft²

2) Median

To determine the median of the data set, first, you have to calculate the position of the median, following the formula:

The sample size is n=17, then the position of the median is

The median corresponds to the ninth observation of the data set.

Next, you have to order the data set from least to greatest:

102, 104, 107, 110, 113, 119, 120, 123, 124, 127, 136, 142, 154, 155, 155, 159, 185

Count the ninth observation from the left.

The median of the data set is Me= 124 ft²

Let's call x to the height. The inequality that represents an acceptable range is:

|x - 35| ≤ 1

Solving it, we get:

x - 35 ≤ 1 or x - 35 ≥ -1

x ≤ 1 + 35 x ≥ -1 + 35

x ≤ 36 x ≥ 34

which is equivalent to 34 ft ≤ x ≤ 36 ft

The values of x and y in the triangle are 15 and 88 degrees.

A triangle is a polygon with 3 sides. The sum of angles in a triangle is 180 degrees.

A triangle can be classified base on its sides and angles as equilateral triangle, isosceles triangle and scalene triangles.

An equilateral triangle has three of its sides and angles equal to each other.

An isosceles triangle has 2 sides and angles equal to each other.

A scalene triangle has no sides equal to each other.

Therefore,

The other triangle on the left side is an equilateral triangle.

Therefore, all it sides and angles are equal.

Hence, each angle of the triangle is 60 degrees.

A traversal line cut across the sides of the parallel lines of the triangles formed.

Therefore,

60° = 4x

x = 60 / 4

x = 15

Therefore,

60 + y + 32 = 180(sum of angles in a triangle)

y = 180 - 92

y = 88°

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SOLUTION

First let us get the monthly rate

This can be gotten using the formula

Where P is principal,

r is the percent interet rate per year, so to get monthly interest is divide by 12

i is the monthly interet.

Using column 1 to determine the rate, we have

Now, the interest rate r = 6%

The starting principal becomes

Therfore, the answer is 150000 dollars

If the price of apples are proportional, the value of p is $6.75.

If the relationship between the price of apples and the number of apples bought are proportional, it means that as the number of apples bought increases, the price paid would increase.

The function that represents the cost of purchasing apples is:

Total cost = cost per apple x number of apples bought

$4.50 = 6c

c = $4.50 / 6

c = $0.75

The price of 9 apples is p

p = 9 x $0.95

p = $6.75

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A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. price of 9 apples is $6.75.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

We need to find the value of p.

For 6 Apples the price is $4.5

We need to find for 9 apples.

For 9 apples the price is p, which we have to find

Let us form a equation to find it.

6/4.50=9/p

Apply cross multiplication

6p=4.5(9)

6p=40.5

Divide both sides by 6

p=6.75

Hence price of 9 apples is $6.75.

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Since a positive number divide or multiplies a negative number

Then the answer will be a negative number

So:

6 / -3 = -2

6 is a positive number and it's being divide by -3 which is a negative number

So the answer is -2

Answer:We have 70 dogs

Step-by-step explanation:

dogs: cats: total5          2      7We want 98 animals98/7 =14We need to multiply each number by 14dogs: cats: total…

hope this helps

Multiply by the decimal form of the percentage,

60 * 0.18 = 1.08

So the discount is for $1.08 off,

60 - 1.08 = 58.92

Giving a total of $58.92 after the discount is applied

The solution of the inequality is b ≥ -17.

Given inequality:-

b + 5 ≥ -12

We have to find the solution of the inequality.

Subtracting 5 from the given inequality, we get

b + 5 - 5 ≥ -12 - 5

b + (5 - 5) ≥ -17

b + 0 ≥ -17

b ≥ -17

Hence, b can be equal to or greater than -17.

Inequality

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

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32.7 %

Explanation

we can easily solve this by using a rule of three

Step 1

Let x represents the percent of the total that was spent on veterinary

the ratios are equal , so we have a proportion

Step 2

solve the equation

so, the answer is

About 32.7% of the total was spent on veterinary care.

I hope this helps you

SOLUTION

From the image above

Considering the bigger right angle triangle,

We can obtain the expression of y from the smaller right angle triangle,

Using pythagora's rule, we have

Then, recall

Substite the expression for y², we have

Expand the paranthesis, we have

subtract 9 from both sides, we have

Divide both sides by 6, we obtain

Therefore

Answer: x= 12

The most appropriate choice for trigonometry will be given by -

Angle between beam and road is 0.33°

What is Trigonometry?

Trigonometry shows the relationship between sides and angles of a right angled triangle.

There are six trigonometrical functions. They are [tex]sin\theta, cos\theta, tan\theta, cos\theta, sec\theta, cosec\theta[/tex]

[tex]sin\theta = \frac{perpendicular}{hypotenuse}\\\\cos\theta = \frac{base}{hypotenuse}\\\\tan\theta = \frac{perpendicular}{base}\\\\cot\theta = \frac{base}{perpendicular}\\\\sec\theta = \frac{hypotenuse}{base}\\\\cosec\theta = \frac{hypotenuse}{perpendicular}\\[/tex]

Trigonometry is a very important tool in mathematics.

Here,

The headlights of an automobile are set such that the beam drops 2.00 in. for each 28.0 ft in front of the car.

According to the figure attached here, 2.0 inch forms the height of the triangle and 28.0 ft forms the base of the triangle

Let the angle be [tex]\theta[/tex]. Now trigonometry is applied here

[tex]tan\theta = \frac{\frac{2}{12}}{28}\\tan\theta = \frac{1}{6 \times 28}\\tan\theta = \frac{1}{168}\\\theta = tan^{-1}\frac{1}{168}\\\theta = 0.33^{\circ}[/tex]

Angle between beam and road is 0.33°

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To answer this question, we need to apply the rules of "PEMDAS".

Thus:

- we first deal with the numbers in the "Parentheses" or brackets

- then we perform the "Multiplication" operation

- and then we perform the "Subtraction" operation

This is done as follows:

- by dealing with the numbers in the parentheses, we get:

- now, by dealing with the multiplication, we have:

- finally, we deal with the subtraction, as follows:

Answer:

1. Mai was moving faster as she covered a greater distance in the same amount of time.

Speed = Distance

               -----------

                Time

2. The best deal is Store Z. We must divide to determine the price each business is charging for a single can in order to particularly choose the greatest deal.

For Store X, each can is $0.62

For Store Y, each can is $0.60

Store Z is the best deal due to how cheap each can of juice costs.

3 (Part 1) It costs $1,200 for each square foot. The cost of the apartment is $540,000 & the area of the apartment is 450 feet. You can divide 540,000 by 450 and you should get 1,200.

3 (Part 2) The home costs $231,000. You can use the two numbers in the question "2,100" and "110". You should get $231,000 after adding those two numbers.

4. Approximately 3.8 liters are in a gallon. 3.8 is closest to 4 so you can round it up to 4 liters.

Step-by-step explanation:

Only B is not true, because the vertical line test is to know if a graph is from a function.

With the concepts of ratio, Siu's height is 121 cm tall.

We can determine how much of one quantity is in the other by comparing two amounts of the same units and finding the ratio. Ratios can be divided into two groups. One is the part-to-whole ratio, and the other is the part to part ratio. The link between two distinct entities or groupings is depicted by the part-to-part ratio.

A ratio is a comparison between two amounts that often uses a fraction.

Considering that the fraction has been simplified,

Given that Siu's height is 5x

Tai's height is 6x.

Now, 6x= 145

Thus, x= 145/6

Now, Siu's height is 5x

Then, its height is (145 ×5)/6= 120.8 cm

Siu's height is 121 cm because it must be rounded to the closest centimeter.

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Answer:

Step-by-step explanation:

First, we need to find the rate. miles/hours. 3000/75 = 40mph (miles per hour). to find the answer we need to divide the rate by the distance they want us to find. to see a deeper explanation of why scroll past the answer.  4000/40 = 100 hours.

deeper explanation:

we can set the numbers given to us equal to what we are looking for.

miles/hour

3000/75 = 4000/x            x being the time we are looking for

cross multiply          3000x=300000

divide by 3000          x=100 hours

We will have the following:

From the polynomial we will have that:

*It falls to the left and rises to the right.

This can be seeing as follows:

The time for the two vehicle will meet is 0.4 hours .

According to the diagram, the first car drive at a speed of 55 miles per hour and the second vehicles drives at a speed of 30 miles per hour.

The distance apart of the cars is 34 miles.

Speed is measured as the ratio of distance to the time in which the distance was covered.  

In other words, speed is the distance travelled per unit of time.

speed = distance / time

Therefore,

distance = speed × time

Hence,

let

x = time use by the car

Therefore, the total distance can be express as follows:

55x + 30x = 34

85x = 34

divide both sides by 85

85x / 85 = 34 / 85

x = 0.4 hours.

Therefore, it will take 0.4 hours for the cars to meet.

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Answer: -1 17/20

Step-by-step explanation: use order of operations to solve, parenthesis, multiplication, addition/subtraction

Devon can have 6 candy bars and 3 sports drinks when he has $15 to spend.

According to the question,

We have the following information:

Devon has $15.

Cost of 1 candy bar = $1

Cost of 1 sports drink = $3

Devon wants to purchase at most 10 items.

It means that the total items should be less than or equal to 10.

Now, we have to spend $15 in such a way that number of items should be less than or equal to 10.

Now, we will look for the number of items for sports drink and change the number of candy bars accordingly.

Let's take 1 sports drink:

$3

We are left with $12. Now, there will be 12 candy bars.

So, this can not satisfy our conditions.

Let's take 2 sports drink:

$6

We are left $9. Now, there will be 9 candy bars. And the number of items is 11.

(This is not satisfying our condition.)

Let's take 3 sports drink:

$9

We are left with $6. Now, there will be 6 candy bars. And the number of items is 9.

This is satisfying all the conditions.

Hence, Devon can have 6 candy bars and 3 sports drinks when he has $15 to spend on snacks.

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The equation

has slope -3/7.

The product of perpendicular lines must be -1, so the slope of the new equation must be:

The line with that slope and that passes throught (1,6) is:

The following graph shows both equations:

Yes , there can be a Right triangle with two side lengths as simple fraction and other side length as an integer .

In the question ,

we have to find , whether a Right Triangle can be made by two fractions and an integer length .

yes, we can make a Right Triangle with two lengths as fractions and other length as integer .

let us prove it with the help of an example .

Consider the triplet 7 , 24 , 25 .

let the two fractions side be 7/25 and 24/25 , and the hypotnuse of the right triangle be  1 .

We know that for the Right Triangle

(side1)² + (side2)² = hypotnuse²

(7/25)² + (24/25)² = 1²

49/625 + 576/625 = 1

(49+576) / 625 =1

625/625 = 1

1 = 1

hence ,it is a Right Triangle .

Therefore , Yes , there can be a Right triangle with two side lengths as simple fraction s and other side length as an integer .

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Answer:

  A: 15%

  B: 43%

  C: yes

Step-by-step explanation:

You want the percentages of students who failed the exam, given that they (A) did, or (B) did not complete the exam review. You also want to know if this indicates an association between failing and reviewing.

Let F represent the event "failed the exam." Let R represent the event "completed the exam review." R' will be the event "did not complete the review."

The probability is ...

  P(F|R) = P(F&R) / P(R)

  P(F|R) = 0.10/0.65 = 2/13 ≈ 15%

About 15% failed who completed the review.

  P(F|R') = P(F&R') / P(R')

  P(F|R') = 0.15/0.35 = 3/7 ≈ 43%

About 43% failed who did not complete the review.

If the events "Failed the exam" and "Completed the review" were independent, then the probability of one would not be conditional upon the other. Here, the probability of failing is clearly different for those who completed the review, so there is an association between failing the exam and completing the exam review.

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The formula for the given arithmetic series for the term aₙ will be aₙ=a₁+(n-1)d.

So, the possible sequence of -64, -16, 4:

So, the formula for the aₙ term will be:

Therefore, the formula for the given arithmetic series for the term aₙ will be aₙ = a₁ + (n - 1)d.

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The correct question is given below:

Write an explicit formula for an, the nth term of the sequence

-64, -16, 4,....

The most appropriate choice for linear equation will be given by -

The integers are 26, 28, 30

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here,

Let the integers be x - 2, x, x + 2

Sum = x - 2  + x + x + 2 = 3x

20 less than Four times the first = 4(x - 2) - 20

By the problem,

[tex]3x = 4(x - 2) -20\\3x = 4x - 8 -20\\4x - 3x = 28\\x = 28[/tex]

The integers are 28 - 2, 28,  28 + 2

The integers are 26, 28, 30

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Answer: what sentence ?

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

The sentence is true because if it is true, then the sentence is false.

You are asking if the sentence is false, and it is false, so the question you asked is true.

This is so confusing though...