Robert swims a lap in the pool. His coach graphs his distance from the starting block.

A. Determine whether each graph is a function. Justify your answer.

B. Construct Arguments - Which graph must be incorrect. Explain

Answer:

The top right

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because for every x there is a only an y

The expected counts for each possible outcome are given by Ei = npi

What is mutually exclusive​ outcomes?

When two events cannot happen simultaneously or at the same time, they are said to be mutually exclusive in probability theory. In other words, discontinuous occurrences are described as being mutually exclusive. The likelihood of two events occurring simultaneously is 0 if they are regarded as disjoint events. Events that do not occur simultaneously are said to be mutually exclusive. When a coin is tossed, for instance, the outcome will either be head or tail, but we cannot get both outcomes.

The expected counts for each possible outcome are given by Ei = npi

Suppose there are n independent trials of an experiment with k > 3 mutually exclusive outcomes,

where pi represents the probability of observing the ith outcome.

The expected counts for each possible outcome are given by Ei = npi

Where,  pi is the probability of observing the ith outcome

Ei is the expected count of the ith outcome.

Hence, The expected counts for each possible outcome are given by Ei = npi.

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If 96 people divide into groups of eight, the following expression indicates that 12 groups are created.

Eight persons form groups made up of multiple people. a expression for how many groups made up of p people there are.

P = the number of groups.

12 groups out of 96

If there are 96 individuals, 12 groups are created.

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Answer: 40.7 kph is how much she was speeding

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

1/9 is one piece in total of 9 but 1/3 is one piece in total of 3

Answer:

A) x=4

Step-by-step explanation:

Answer:

1. 4

Step-by-step explanation:

3/4 x + 4 = 7  Multiply all the way through by 4 to clear the fraction

3x + 16 = 28   Subtract 16 from both sides

3x = 12  Divide both sides by 3

x = 4

The measurements are represented by lengths of a triangle's sides by -

The triangle's three sides must satisfy the following condition:

"The total of any two triangle sides must be larger than or equal here to third side of the triangle."

We have four options in this question, so we'll go through them one at a time.

Since (1+3)<7  in this case, a triangle cannot be formed.

Since (3+3)<7 in this case, a triangle cannot be formed.

In this instance, (3+7)>8, (3+8)>7, and ((7+8)>3

Thus, a triangle will be formed by these.

In this instance, (3+5)>7, (3+7)>5, and (5+7)>3

Thus, a triangle will be formed by these.

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The options for the question are attached.

The outcome is Reject H0 and make a Type 1 error

What is H0?

When your sample contains sufficient evidence, you can reject the null and conclude that the effect is statistically significant. Statisticians often denote the null hypothesis as H0.

Here type 1 error is defined as Rejecting H0 when H0 is true.

Therefore, the outcome is Reject H0 and make a Type 1 error.

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Answer: M=9

Step-by-step explanation:

The statement is 1000 g = 1 kg. One thousand grams is equal to one kilo grams, to put it in words.

Given that,

The statement is 1000 g = 1 kg. One thousand grams is equal to one _____ grams, to put it in words. (Write the prefix; leave out the dashes.)

We have to fill the blank.

We know that,

The metric system's fundamental mass unit is the kilogram. In the past, it has been measured using a variety of sources. It was first calculated based on the weight of 1000 cc of water. Water density varies according to temperature. Furthermore, this reference has been abandoned since the contaminants and solutes in water also provide erroneous results when standardizing the ideal mass of 1 kg.

A gram is described as the 1/1000th of a kilogram in the reference used to define a mass of 1 kg. The maximum density of 1 g/cc was originally used to define it as the mass of 1 cc of water.

Therefore, The statement is 1000 g = 1 kg. One thousand grams is equal to one kilo grams, to put it in words.

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Answer:

four x plus three divided by two

Step-by-step explanation:

Answer:

Step-by-step explanation: 69

Step-by-step explanation:

light blue.

our function needs to calculate r out of h.

P does not recognize h (hours after midnight) as parameter. P needs c as input.

T needs h as input and delivers c as output.

therefore (P ○ T)(h) = r is correct.

first the "inner" T function is calculated with h as parameter and then P is calculated using the result from T (c) as input and delivers r.

Answer:

y=-6

Step-by-step explanation:

1. -2y+6=y+24

2. -2y-y=24-6

3.-3y=18

4. y=-6

Using Pythagoras's theorem, the relationships of the sides of the right triangle is x² - 21x + 108 = 0.

The value of x in the right triangle is x = 9 or x = 12.

The right angle triangle is a triangle with one of its angles as 90 degrees. The sides of a right angle triangle can be found using Pythagoras's theorem.

Hence,

c² = a² + b²

where

Therefore, the equation to show the relationships between the three sides can be gotten by applying Pythagoras's theorem.

x² + (21 - x)² = 15²

x² + (21 - x)(21 - x) = 225

x² + 441 - 21x - 21x + x² = 225

2x² - 42x + 441 - 225 = 0

2x² - 42x + 216 = 0

divide through by 2

x² - 21x + 108 = 0

Let's find the value of x by factoring.

x² - 21x + 108 = 0

x² - 12x - 9x + 108 = 0

x(x - 12) - 9(x - 12) = 0

(x - 9)(x - 12) = 0

Therefore,

x = 9 or x = 12

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Step-by-step explanation:

A .

1150-1090=60

60feet/5sec = 12feet/sec

B.

yes it's is constant , because is decreasing by 60 feet in every 5 sec

C.1150

Part a:  10z > 25,670; infinite integer.

Part b: Range =  2550 to 2649.

Part a:  10z > 25,670

Divide the inequality on both sides by 10.

z >  2,567

Thus, there are infinite number which are greater than 2567.

Part b:  z rounded to the nearest hundred is 2,600.

Range =  2550 to 2649.

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based on the results of this t-test, report the p value. explain this means in context of a type 1 error is  you can reject the null hypothesis, but this does not necessarily mean that your alternative hypothesis is true.

What does p-value tell you about error?

The p-value only tells you how likely the data you have observed is to have occurred under the null hypothesis. If the p-value is below your threshold of significance (typically p < 0.05), then you can reject the null hypothesis, but this does not necessarily mean that your alternative hypothesis is true.

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Answer:

Step-by-step explanation:

13+22=35%

Answer:

1

Step-by-step explanation:

assuming your points are (0,3) and (-3,0) you would "rise" 3 and "run" 3 to get from one point to the next on a graph, making your rise over run (aka slope) 3/3 which is equal to 1.

The colored type of led is more expensive if you order 3 strings of white led lights and 2 strings of colored led lights for 66$.

An equation in French is defined as having one or more variables, whereas an equation in English is any well-formed formula consisting of two expressions combined with an equals sign.

Solving a variable equation includes determining which variables' values result in equality. Unknowns are the variables for which the equation must be solved, while equation solutions are the unknown values that satisfy the equality. An equation is a mathematical phrase with two equal sides separated by an equal sign. An equation is 4 + 6 = 10. We can see 4 + 6 on the left side of the equal sign and 10 on the right.

First type of white led have 3 strings=3x

Second type of colored led have 2 strings and bought only one string=2y

The total cost =3x+2y=66    ----------->(1)

In the second order ,

Each string brought only one=x+y=27 ------->(2)

Solving equations 1 and 2

From eq2, y=27-x

3x+2(27-x)=66

3x+54-2x=66

X=12

Y=27-x=27-12=15

Therefore, the type of colored led are expensive

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Suppose 's' be a collection of 'n' plane segments. It is true to say that a transversal as well as stabber for 's' is a line that crosses every segment of 's'.

A transversal in geometry is a line, ray, as well as line segment that, on a plane, overlaps other lines, rays, including line segments at various locations.

Thus, if 's' be a collection of n plane segments. It is true to say that a transversal as well as stabber for 's' is a line that crosses every segment of s.

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The predicted quantity of balls in the first bin is (1/n)n.

Considering that,

There are the same number of balls and containers.

If so, then each container must always contain one ball. The probability of each ball landing in the first bin is (1/n)n.

For instance -

Three balls and three bins should be present. Next to each ball, place an A, B, and C. There are numbers 1, 2, and 3 on the containers. Ball A has a 1/3 chance of landing in bin 1. Although there is a 1/3 probability that ball B will drop in bin 1 and a 1/3 chance that ball C will do the same, both outcomes are possible. Therefore, bin 1 should be equal to 1/3 + 1/3 + 1/3. The rationale behind the projected values of bins 2 and 3 is identical.

According to the same logic, bins 2 and 3 should also have expected values of 1.

How probable is it that the first bin will receive all three balls?

In general, (1/n)n, which equals (1/3)3, or 1/3 x 1/3 x 1/3, equals 1/27.

Therefore, (1/n)n would be the expected number of balls in the first bin.

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Applying the property of the diagonals of a parallelogram, XF = 13 units.

A parallelogram is a quadrilateral with the following properties:

DF and EG are diagonals of parallelogram DEFG, where:

DF = 5x + 1

EX = 2x

XG = 3x - 5

Based on the property of the diagonals of a parallelogram, we have:

EX = XG

Substitute

2x = 3x - 5

2x - 3x = -5

-x = -5

x = 5

Length of XF = 1/2(DF)

Substitute

Length of XF = 1/2(5x + 1)

Plug in the value of x

Length of XF = 1/2(5(5) + 1)

Length of XF = 13 units

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The median is 10 as the value 10 is at 10th position.

What is Median?

The median is the value that separates the upper and lower halves of a data sample, population, or probability distribution in statistics and probability theory. It is sometimes referred to as "the middle" value in a data collection.

Solution:

Firstly we need to arrange the data in ascending order

6,6,6,7,7,7,8,8,10,10,10,10,10,10,10,10,10,88,88

the total number of digits are

n = 19

So, the middle value that divide the data in two halves will be at n = 10

The median is 10 as the value 10 is at 10th position.

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If Greg is at work for 10 hours a week, he spends 30 hours traveling to work.

Explanation

No of hours he works in a week = 10

No of hours he spends on travelling = 3 * no of hours he works in a week

=10 x 3 =

30 hours

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious.

The repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

In addition to addition, subtraction, and division, multiplication is a mathematical operation. The four fundamental arithmetic operations are taught to students in their primary classes.

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For the given set of equations x/2 + y/3 = 1 and x/4 + 2y/3 = -1 the sum of x and y is 1.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given set of equations are,

x/2 + y/3 = 1,        

x/4 + 2y/3 = -1.

Simplify both the equations,

3x + 2y = 6         (1)

3x + 8y = -12       (2)

Subtract equation (2) and (1),

6y = -18

y = -3

Substitute the value of y = -3, in equation (1)

3x + 2(-3) = 6

3x - 6 = 6

3x = 12

x = 4

The sum of x and y,

x+y = 4 - 3

      = 1

The sum of x and y for the given equations, is 1.

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The expression to show how to find Milan's age when Raul is 14 is x + 6 = 14.

An expression is simply used to show the relationship between the variables in the data.. Addition, subtraction, multiplication, and division are possible mathematical operations.

Let Milan's age be x

Rauls age = x + 6

Therefore, when Raul is 14, Milan will be:

x + 6 = 14

Collect like terms

x = 14 - 6

x = 8

Milan is 8 years.

The expression is x + 6 = 14

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Complete question

Milan is 6 years younger than Raul. Write an expression to show how to find Milan's age when Raul is 14

x = amount of the 80% broth

y = amount of water with 0% broth

keeping in mind that water has no broth in it, so 0% of broth, let's plug in those percentages in decimal format to see how much each one has.

what's 80% of "x"? well (8/100) * x = 0.80x.

what's 0% of "y"?  well hell is just 0.

what's 60% of 200? well anyhow is just 120.

[tex]\begin{array}{lcccl} &\stackrel{liters}{quantity}&\stackrel{\textit{\% of liters that is}}{\textit{broth only}}&\stackrel{\textit{liters of}}{\textit{broth only}}\\ \cline{2-4}&\\ \textit{80\% Sol'n}&x&0.80&0.80x\\ water&y&0.00&0\\ \cline{2-4}&\\ mixture&200&0.60&120 \end{array}~\hfill \begin{cases} x + y = 200\\\\ 0.80x+0=120 \end{cases} \\\\[-0.35em] ~\dotfill\\\\[/tex]

[tex]\stackrel{\textit{using the 2nd equation}}{0.8x=120}\implies x=\cfrac{120}{0.8}\implies \boxed{x=150~liters} \\\\\\ \stackrel{\textit{using the 1st equation}}{150 + y = 200}\implies y=200-150\implies \boxed{y=50~liters}[/tex]

The time that has elapsed before the body was found is 1.5 hour

Newton's law of cooling states that the rate of heat loss from a body is inversely related to the temperature difference between the body and its surroundings.

Given:

when time, t = 0, temperature = 98.6 ⁰F

when time, t = 1, temperature = 75⁰

when time,  t = t, temperature = 80⁰

By Newton's method of cooling equation;

T(t) = [tex]T_s (T_0 - T_s)e^{kt[/tex]

T(t) = 70+  28.6[tex]e^{kt[/tex]

Now, At the time of discovery

80 = 70+  28.6[tex]e^{kt[/tex]

10= 28.6[tex]e^{kt[/tex]

Then, 1 hour later( t + 1) we have the second equation;

75= 70 + 28.6[tex]e^{kt[/tex]

28.6[tex]e^{kt[/tex] = 5

Now, divide equation 1  by equation 2;

2= [tex]e^{-k[/tex]

k = -0.693

The time when he dead body was discovered

10= 28.6[tex]e^{kt[/tex]

10= 28.6[tex]e^{-0.693[/tex]

-0.693t = ln (10 /28.6)

-0.693t = -1.05

t= 1.5 hour

Hence, the time that has elapsed before the body was found is 1.5 hour

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