over a period of 3 hours, the outside temperature changed an average of -2.25 fahrenheit per hour. select the correct sentence that represents this situation.

the temperature decreased by 2.25 degrees fahrenheit from the beginning to the end of the 3-hour period.

the temperature increased by 0.75 degrees fahrenheit from the beginning to the end of the 3-hour period.

the temperature increased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.

the temperature decreased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.

Answer:

Percent error = 15.79%

Step-by-step explanation:

Given the following data;

Experimental value = 12cm

Actual value = 14.25cm

To find the percentage error;

Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, it is given by this expression;

\( Percent \; error = \frac {experimental \;value - actual \; value}{ actual \;value} *100\)

Substituting into the equation, we have;

\( Percent \; error = \frac {12 - 14.25}{14.25} *100\)

\( Percent \; error = \frac {2.25}{14.25} *100\)

\( Percent \; error = 0.1579 *100\)

Percent error = 15.79%

explanation

For the given question

We have the lower quartile as the bottom 25%

And

Upper quartile as the top 25%

From the image we have

The spread is shown below

We can conclude that the top 25% of the scores are less spread out than the bottom 25% of the scores

The answer is less

Answer:

3rd option.

Step-by-step explanation:

figure u dont need one

The amount of money earned by Zach each week will be equal to $9 per week.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given data in the question,

Total amount earned by Zach = $36

The time taken to earn the amount = 4 weeks

Then, the amount earned each week will be.

= $36/4

= $9 per week

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Answer:

  t ≈ 0.0664731

Step-by-step explanation:

Use the inverse sine function.

  sin(12t) = 141/197

  12t = arcsin(141/197)

  t = arcsin(141/197)/12

  t ≈ 0.0664731 . . . . . . . radians

__

This is the principal value. There are other solutions at values of t that have integer multiples of π/6 added to this. There are also solutions where any of those values is subtracted from π.

_____

In general, angles in math are assumed to be in radians, unless specified otherwise. This angle corresponds to about 3.81°. (In geometry, the usual assumption is that angles are measured in degrees.)

Answers:

Hypothesis = "I am running"

Conclusion = "I am not awake"

===================================

Explanation:

All conditional statements are in the form "If P, then Q" where P and Q are placeholders for the hypothesis and conclusion respectively.

So you can say the basic format of a conditional is "If hypothesis, then conclusion".

Answer: sin(0) = 40.804/41

Step-by-step explanation:

Answer:

  8

Step-by-step explanation:

You want to know the measure of segment XY if ∆XYZ ≅ ∆MNL and MN = 8.

Segment XY is named using the first two vertices listed in the name of ∆XYZ. That means the segment is the same length as the one named by the first two vertices listed in the name of congruent ∆MNL, segment MN.

Segment MN is given as 8 units long. Segment XY is congruent, so is also 8 units long.

  XY = 8 units

<95141404393>

The domain is:

D: {-4, 5, 6, 8}

The range is:

R: {-4, 3, 5}

And yes, the relation is a function.

For a relation that maps elements x into elements y (in the form (x, y)), we define the domain as the set of the inputs (values of x) and the range as the set of the outputs (values of y).

Here our relation is defined by: {(6,3), (8,5), (-4,-4), (5,5)}

The domain is the set of the first values of each pair, so we have:

D: {-4, 5, 6, 8}

The range is the set of the second values of each pair:

R: {-4, 3, 5}

Now, is this a function?

Yes, it is a function, because each input is mapped into only one output.

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Answer:

\(Total\ Savings = 63\)

\(Average\ Savings = 21\)

Step-by-step explanation:

Given

\(Amount = 210\)

\(Savings = 30\%\)

Solving (a) Total Savings Mode

\(Total\ Savings = Savings * Amount\)

\(Total\ Savings = 30\% * 210\)

\(Total\ Savings = 63\)

Solving (b): Savings per person

Since, there are 3 individuals involved;

\(Average\ Savings = \frac{Total\ Savings}{3}\)

\(Average\ Savings = \frac{63}{3}\)

\(Average\ Savings = 21\)

Answer:

a = €90

b = £30

Step-by-step explanation:

They had a discount of 30% means that they paid  70%.

100% (total percentage ) - 30%( discounted for them) = 70% ( meaning they paid for 70% instead of 100%).

To find the total saving made, we need to know the total cost without the promo and substract from the 70% payment made.

70% payment made = €210.

1% = [210/70 = €3].

if 1% = €3, then 100% willl be €300.

100% the gym offers = €300.

Total saving made = total cost the gym offers - the 70% payment made.

€300 - €210 = €90.

If you want to be sure.  30% of €300 = 90.

meaning that they had a discount of €90.

If they paid €210 + €90 = €300.

b) The avearge saving per person?

Remember the question said Patty and 2 siblings, suggest they are 3 people in the picture.

If the 3 saved €90,

averge of one person:

90/3 = €30

I believe the answer is C! Because..

Answer:

c. The square root of 12 is between 4 & 5.

Step-by-step explanation:

a. The square root of 112 is between 10 & 11

i. Find the squares of 10 & 11

10² = 100

11² = 121

Because 100 < 112 < 121, we know the square root of 112 is between 10 & 11

b. The square root of 180 is between 13 & 14

i. Find the squares of 13 & 14

13² = 169

14² = 196

Because 169 < 180 < 196, we know that the square root of 180 is between 13 & 14

c. The square root of 12 is between 4 & 5.

i. Find the squares of 4 & 5

4² = 16

5² = 25

Because 12 < 16 & 25, we know that the square root of 12 is not between 4 & 5.

d. The square root of 5 is between 2 & 3.

i. Find the squares of 2 & 3

2² = 4

3² = 9

Because 4 < 5 < 9, we know that the square root of 5 is between 2 & 3.

Complete question

The complete question is shown on the first uploaded image

Answer:

Wind direction [Mode] is South west

The [Mean] temperature is  \(T  =  91\)

The  [Bimodal] pavement is  Dry Wet

Step-by-step explanation:

From the question the first question is to determine the wind direction

Generally from the wind direction would be the data with the highest frequency on the wind column i.e the mode of the data, this because this variable(wind direction ) is a nominal level type of level of measurement where the value assigned to the variable are for classification of the data (i.e telling what the data is all about )

So

The mode is South west

This means that the wind direction is South west

From the question the second question is to determine the temperature

Generally given that their are are no outlier that will skew the data we can obtain the temperature by calculating the mean for the temperature column

This is mathematically represented as

\(T = \frac{89 + 86 + \cdots + 93 + 93}{8}\)

          \(T  =  91\)

From the question the first question is to determine the  pavement

Generally from the pavement would be the data with the highest frequency on the pavement i.e the mode of the data, this because this variable(pavement ) is a nominal level type of level of measurement where the value assigned to the variable are for classification of the data (i.e telling what the data is all about )

From the table we see that the pavement that the pavement column is bimodal

So the mode is Dry  Wet

This mean that the pavement is Dry Wet

For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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The value of length of side AB is,

⇒ AB = 5 units

We have to given that;

The figure is shown a trapezoid.

Hence, By using Pythagoras theorem we get;

⇒ AB² = 4² + (5.25 - 2.25)²

⇒ AB² = 16 + 3²

⇒ AB² = 16 + 9

⇒ AB² = 25

⇒ AB = √25

⇒ AB = 5 units

Therefore, The value of length of AB is,

⇒ AB = 5 units

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The slope of a horizontal line is always zero.

What is slope?

The slope of a line is a measure of how steep the line is. It represents the rate at which the y-coordinate of the line changes with respect to the x-coordinate. Symbolically, it is represented by the letter m, and can be calculated using the following formula:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are any two points on the line.

The slope of a horizontal line is always zero. This is because a horizontal line has the same y-coordinate at every point, and therefore, there is no change in the y-coordinate for any change in the x-coordinate.

By definition, the slope of a line is the change in y divided by the change in x. In the case of a horizontal line, the change in y is always zero, since the y-coordinate does not change. So, no matter what value of x you choose, the slope of a horizontal line will always be:

slope = change in y / change in x = 0 / (any non-zero value of x) = 0

So, the slope of a horizontal line is always zero.

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Answer:

x = 25

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees.

90 + x+ 2x+15 =180

Combine like terms

105+3x = 180

Subtract 105 from each side

105+3x-105 = 180-105

3x =75

Divide each side by 3

3x/3 = 75/3

x = 25

Answer:

25°

Step-by-step explanation:

NIMS incident command and coordination is based on fourteen NIMS Management Characteristics.

On fourteen NIMS Management Characteristics, NIMS bases incident command and coordination. The National Incident Management System's fourteen traits serve as pillars, enhancing its durability and effectiveness.

The ICS organizational design is adaptable. To improve internal organizational administration and coordination with the outside world, distinct functional elements can be formed and split as needed.

In all, NIMS integration is supported by 14 implementation objectives. NIMS is adaptable and suitable for all kinds of schools, school systems, and educational organizations, just as it applies to all kinds of emergency occurrences.

The following 14 NIMS management traits, each of which adds to the overall system's strength and effectiveness, form the foundation of the Incident Command System (ICS): Typical Language.

Therefore, the correct answer is option C. 14.

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Answer/Step-by-step explanation:

Angle 1 and angle 11 = none

No special relation between both angles.

Angle 1 and angle 6 = none

Both angles also do not have any special relationship

Angle 12 and angle 15 = same side interior

Angle 12 and angle 15 both interior angles that lie on the same side of the transversal that cuts across two straight lines. They are supplementary.

Answer:percentage answer is 41.7% and for the fractions its 5/12

Step-by-step explanation:

for percentage to need to get the fraction to where the twelve in 7/12 is 100 so you multiply 8.3 to 12 and get 100 but you need to multiply it to the top too so you're left with 58.3/100 but that's the fraction of the goal made so what you do is subtract 58.3 from one hundred and you get 41.7 making your total 41.7%.

the way to solve the fraction is to start by subtracting the overall point to the points made and the sum would be the points missed and the point missed are 5/12 and that fraction is simplified to the max

Answer:

x = 100

Step-by-step explanation:

1. To get rid of the denominator of 5, multiply both sides of the equation to get 5

-40 + x = 60

2. Add 40 on both sides to get the variable x by itself

x = 60 + 40

3. Solve

x = 100

Answer:

x=100

Step-by-step explanation:

-8+x/5=12

--8+x/5=12+8

x/5=20

5*20=100

x=100

Answer:

check online for more information

The size of the shift from function f to function g is 12 units down

The table of values is given as

x 0 1 2 3 4

g(x) -11 -10 -8 -4 4

From the question, we understand that the function g(x) is an exponential function

The parent function of an exponential function in this case, is represented as

f(x) = 2^x

When represented on a table of values, we have

x 0 1 2 3 4

f(x) 1 2 4 8 16

So, we have

x 0 1 2 3 4

f(x) 1 2 4 8 16

g(x) -11 -10 -8 -4 4

Notice that the difference between the values of f(x) and g(x) is 12

This means that

g(x) = f(x) - 12

So, we have

g(x) = 2^x - 12

Hence, the size of the shift is 12 units down

See attachment for the graphs of f(x) and g(x)

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Step-by-step explanation:

a,ar,ar

2

shortest side is 9cm.

Abby's method and Renato's method of converting kilograms to pounds gives the same answer.

Abby:

1/2n - 10%

= 1/2n - 0.1

Renato:

-10% + 1/2n

= -0.1 + 1/2n

Therefore, Abby's method and Renato's method of converting kilograms to pounds gives the same answer.

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Answer:

A and D

Step-by-step explanation:

for infinitely many solutions, ratio of coefficients should be equal.

since ratio = 1/4 so they will have infinitely many solutions.

There are 4 hundred billions in the number 432,845,979,484.

To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.

The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.

Let's break down the number:

4 hundred billions (4 x 100,000,000,000)

3 ten billions (3 x 10,000,000,000)

2 billions (2 x 1,000,000,000)

8 hundred millions (8 x 100,000,000)

4 ten millions (4 x 10,000,000)

5 millions (5 x 1,000,000)

9 hundred thousands (9 x 100,000)

7 ten thousands (7 x 10,000)

9 thousands (9 x 1,000)

4 hundreds (4 x 100)

8 tens (8 x 10)

4 units (4 x 1)

As we can see, there are 4 hundred billions in the number 432,845,979,484.

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The probability that less than 75% of the sample students have iPhones is approximately 0.2478.

What is probability?

This is a binomial probability problem, where each student either has an iPhone or does not have an iPhone, and the probability of success (having an iPhone) is 0.789.

Let X be the number of students in the sample who have an iPhone. We want to find P(X < 0.75 * 50) = P(X < 37.5)

Using the binomial probability formula, we have:

P(X < 37.5) = Σ P(X = k), for k = 0, 1, 2, ..., 37

However, this is a tedious calculation. Instead, we can use a normal approximation to the binomial distribution, since n * p = 50 * 0.789 = 39.45 > 10 and n * (1 - p) = 50 * 0.211 = 10.55 > 10.

Using the normal approximation, we can standardize the random variable X:

Z = (X - μ) / σ

where μ = n * p = 39.45 and σ = √(n * p * (1 - p)) = √(50 * 0.789 * 0.211) = 2.88.

Then, we have:

P(X < 37.5) = P(Z < (37.5 - 39.45) / 2.88) = P(Z < -0.68)

Using a standard normal table or calculator, we find that P(Z < -0.68) is approximately 0.2478.

Therefore, the probability that less than 75% of the sample students have iPhones is approximately 0.2478.

Binomial probability is a type of probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes: success or failure. It assumes that the probability of success in each trial is constant, and the trials are independent of each other. The binomial distribution is characterized by two parameters: the number of trials and the probability of success in each trial.

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Answer:

Left tailed.

Step-by-step explanation:

A claim (alternative hypothesis) is set against the null hypothesis.

The claim (alternative hypothesis) of the  golf analyst is that the standard deviation of the​ 18-hole scores for a golfer is  less than 2.1 strokes

Ha: Sd< 2.1

The null hypothesis will be opposite of the alternate hypothesis

H0: sd ≥ 2.1

A test for which the entire rejection region is located in only one of the two tails - either left or right- is called one tailed test.

In the given example the acceptance region is located in the area greater or equal to 2.1 . The rejection region lies to the left and the acceptance region lies to the right.

As the rejection region lies to the left, it is a left tailed test.

Also if the alternative hypothesis contains equality less than it is left tailed.

The statements that are true about the graph of y < 2x+1 include the following:

C. The area below the line is shaded.

D. A solution to the inequality is (2, 3).

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided, we have the following equation (inequality);

y < 2x + 1

The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).

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