What is the mode of the following numbers?
9,8, 7, 1,1

What is the correct standard form for 400+3+0.07+0.001

403.071

Answer:

=4.03071×10²

Step-by-step explanation:

400+3=403

=403+0.07=403.07

=403.07+0.001=403.071

so 403.071 to standard form is 403.071 divide by 100 is 4.03071 and 10 and and also change to 2 zeros and Chang it to powers so =4.03071×10²

The three valid congruency statements are; Triangle PQR = Triangle STU

Angles who are of same measurement are called congruent.

Suppose that two angles ∠A and ∠B are of same measure, then

[tex]m\angle A = m\angle B[/tex] is the notation to say that they are of same measurement, where the small m shows that its the measurement of the angles they're preceding.

Congruence statement states that a statement used in geometry that simply says that two objects are congruent, or has the  same shape and size.

Also, we can make congruence statements in words or in symbols. Using symbols we use the congruence symbol i,e  ≅ to indicate that two objects are congruent.

In the given triangles;

Angle T = Angle Q

QR = ST

TU = PQ

Triangle PQR = Triangle STU reason=ASA

Therefore, the three valid congruency statements are;

Triangle PQR = Triangle STU

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Using the properties of arithmetic mean and average we get the value of 'w' is 22.

We know that mean is calculated by dividing the sum by the frequency.

Here n= 3

Sum = 5+6+7+w = 18+w

Now , (18+w )/4 = 10 which is the mean

or, 18 + w = 40

or, w = 40 - 18

or, w = 22

The value of w is 22.

By adding together all the observations and then dividing the sum by the same total sample sizes, the arithmetic mean of the supplied data can be calculated.

In order to determine the data's central tendency, an arithmetic mean formula computes the mean, or average, of the numbers. It can alternatively be described as the total number of observations multiplied by the sum of all the observations that were provided.

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Step-by-step explanation:

In Peter class three times as many students who wear glasses are those who do not.there are 28 students in the class. How many students do not wear glasses?

with glasses: x
without glasses: 3x

x + 3x = 28

4x = 28

x = 7 with glasses

7 * 3 = 21 without glasses

The graph of the function f(z) = - 0.25z + 4 is drawn.

Drawing the graph (curve) of the appropriate function is the process of graphing a function. Although graphing simple functions like linear, quadratic, cubic, etc. is very straightforward, complicated functions like rational, logarithmic, etc. need some expertise and an understanding of certain mathematical principles.

Drawing a function's representation as a curve on a coordinate plane is known as graphing. Every point on a curve (or graph) that represents a function satisfies the function equation.

A collection of edges that are ordered pairings of vertices (also known as directed edges, directed links, directed lines, arrows, or arcs) is displayed

The graph of the function is drawn. On the x-axis, the z-variable variables and on the y-axis the f(z) values are shown.

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The members who have registered for both batting and fielding are 306.

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

Total members = 850

Number of members registered for batting = 80%

Number of members registered for fielding = 56%

Members who participated in both,

80% of 850 + 56% of 850 - x = 850

680 +476 -x = 850

x = 1156 - 850

x = 306.

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The probability of not rolling a 5 is [tex]\frac{1}{6}[/tex]

For any event A, the probability of not getting A is given by

[tex]P(not A)= 1- P(A)[/tex]

A number cube with six sides numbered 1 through 6 is rolled.

Then we have,

The total number of possible outcomes [tex]= 6[/tex]

Also, it is given that, The probability of rolling a 5 is

P(rolling 5)=[tex]\frac{1}{6}[/tex].

Now, the probability of not rolling a 5 will be

[tex]P(\text{not rolling a 5})= 1- P(\text{rolling 5})[/tex]

[tex]=1-\frac{1}{6}[/tex]

[tex]=\frac{5}{6}[/tex]

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The solution for r in equation 5 + r = 6 - r,   r =1/2

The solution for z in equation  z - 16 = - 16,  z= 0

The solution for n in equation 7n - 7 = 0 ,    n= 1

(8) 5 + r = 6 - r

Step 1: Rearrange the equation by collecting the like terms

r +r=6-5

Step 2: Simplify r +r=6-5

2r = 1

Step 3: Divide both sides by 2

2r/ 2 =1/2

r =1/2

9) z - 16 = - 16

Step 1; Add 16 to both sides

z-16 +16 = -16 +16

z= 0

10) 7n - 7 = 0

To solve for n

Step 1: Add 7 to both sides

7n - 7 +7 = 0+7

7n =7

Step 2: Divide both side by 7

7n/7 =7/7

n= 1

Therefore, the solution for r in equation 5 + r = 6 - r, r =1/2

The solution for z in equation  z - 16 = - 16,    z= 0

The solution for n in equation 7n - 7 = 0,   n= 1

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Answer: (X^3)*y

:) Hope this helps, I spent a lot of time on it!

The point slope and the intercept form is y = -3x + 11

One of the most popular ways to represent a line's equation is in the slope intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis).

This written in the form of y = ax + b

where a is the slope and b is the intercept

We have the equation as

y + 4 = - 3 ( x - 5 )

we would have to open the bracket and then take the like term

this is going to be

y  + 4 = -3x + 15

From here we would get the like term

y = -3x + 15 -4

y = -3x + 11

The slope is -3 and the intercept is 11.

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Answer:

8.31

Step-by-step explanation:

-6n² = -414

[take away negative]

6n² = 414

[divide by 6]

n² = 69

n = 8.3066 (to 5 significant figures)

n = 8.31 (to 3 significant figures)

The sequence that can be defined by the recursive formula is (c) 4, 2.75, 1.5...

The function definition is given as

f(1) = 4

f(n + 1) = f(n) - 1.25 for n ≥ 1

Set n = 1

So, we have the following representation

f(1 + 1) = f(1) - 1.25

This gives

f(2) = f(1) - 1.25

So, we have

f(2) = 4 - 1.25 = 2.75

Set n = 2

So, we have the following representation

f(2 + 1) = f(2) - 1.25

This gives

f(3) = f(2) - 1.25

So, we have

f(3) = 2.75 - 1.25 = 1.5

So, we have

4, 2.75, 1.5...

The sequence that matches 2.75, 1.5... in the options is (c) 4, 2.75, 1.5...

Hence, the sequence is (c) 4, 2.75, 1.5...

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Answer:

C

Step-by-step explanation:

Because i got it right

The dimensions (in m) of the cardboard box with the largest volume is obtained as 2 m length.

Dimensions of piece of cardboard;

Let the corner cut length be 'x',

New dimensions;

Volume = length x width x height

Put the values;

V = ( 8 - 2x ) (4 - 2x) x

Find the solution of the obtained quadratic equation by quadratic formula.

x = 0, 2 and 4.

As, x ≠ 0 and 4.

Thus, x = 2.

Thus, the dimensions (in m) of the box with the largest volume is obtained as 2 m length.

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A(n) Control Chart is a scatter chart with time on the horizontal axis, measurement scale on the vertical axis, displays mean and control limits, and may mark two standard deviations from the mean.

A control chart is one of the process improvement techniques or simply it is a graph to study how a process changes over time. In layman's terms the control chart shows if a process is under control or out of control. For calculating the average, there is always a central line in the control chart, an upper line and a lower line for upper control limit and lower control limit respectively.

The control charts are used to serve many purposes including monitoring a process for special variations and their causes and to remove them, estimating the process average and the variation, predicting the impacts of the process , etc.

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Answer:

Step-by-step explanation:

Answer:Yes, because the line that represents the first wall has a slope of -.25 and the line that represents the second wall has a slope of 4

Step-by-step explanation:

check the slope of both points

(-6,11.5) to (2, 9.5)  

11.5-9.5= 2

-6-2=-8

2/-8

m=-1/4

(-1, -2.5) to (2,9.5)

-2.5=9.5=-12

-1-2=3

-12/-3

m=4

Yes, because the line that represents the first wall has a slope of -.25 and the line that represents the second wall has a slope of 4

If Otis made [tex]1\frac{3}{5}[/tex]  cups of oatmeal and he put 2/3 cup of oatmeal into each bowl, then he made 12/5 bowls of oatmeal

Total quantity of oatmeal that Otis made = [tex]1\frac{3}{5}[/tex]  cups of oatmeal

Convert mixed fraction to simple fraction

[tex]1\frac{3}{5}[/tex]  cups = 8/5 cups

The quantity of oatmeal in each bowls =  2/3  cup of oatmeal

Then the number of bowls of oatmeal that he made = Total quantity of oatmeal that Otis made ÷ The quantity of oatmeal in each bowls

Substitute the values in the equation

The number of bowls of oatmeal that he made = 8/5 ÷ 2/3

= 8/5 × 3/2

= 12/5 bowls

Hence, if Otis made [tex]1\frac{3}{5}[/tex]  cups of oatmeal and he put 2/3 cup of oatmeal into each bowl, then he made 12/5 bowls of oatmeal

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Maggie's age is less than or equal to 11, m ≤ 11

An inequality can simply be described as a relation that makes an unequal comparison between two objects, numbers, elements or mathematical expressions.

It is used to compare numbers on the number line on the basis of their sizes

From the information given, we have that;

Let's substitute the values

5m + 4 + m ≤ 70

Now, let's collect like terms

6m ≤ 70 - 4

Subtract like terms

6m ≤ 66

Make 'x' the subject of formula by dividing both sides by its coefficient

m ≤ 66/ 6

m ≤ 11

Hence, the value is m ≤ 11

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We get the values when x is -8 y is 62, when y is -73 x is 7 and when x is 3 y is -37 for the linear equation y=-9x-10.

Given that,

The linear equation is y=-9x-10.

We have to fill the table given in the question.

First,

Taking x value is -8

We get y value as,

y=-9(-8)-10      (multiply -9 and -8)

y=72-10           (Subtracting 72 and 10)

y=62

When x is -8 y is 62.

Taking y value is -73

We get x value as,

-73=-9x-10

-73+10=-9x

-63=-9x

63=9x

x=63/9

x=7

When y is -73 x is 7.

Taking x value is 3.

We get y value as,

y=-9(3)-10

y=-27-10

y=-37

When x is 3 y is -37.

Therefore, We get the values when x is -8 y is 62, when y is -73 x is 7 and when x is 3 y is -37 for the linear equation y=-9x-10.

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a) In any given experiment or trial, there is a probability that either an event occurs or it does not. The probability of the occurrence of an event lies between 0 and 1.

The event E of a sample space S is said to have occurred if the outcome ω of the experiment is such that ω ∈ E. However if the outcome ω is such that, ω ∉ E we say that the event has not occurred.

Let us take the example of playing cards. Here the event E is drawing a face card. If you draw a king of spades, we say the event E has occurred. However, if you draw an eight of clubs, we say the event E has not occurred.

b)  The probability of an event is equal to the events relative frequency in the population of possible events that can occur.

An event’s relative frequency is a number between 0 and 1, so the event’s probability is from 0 to 1.

For example, when someone says that the probability it raining today is high, you understand that they mean that there is a high chance that it will rain.

But what if someone says that the probability of something happening is very low? You understand that the person means that the event may not occur at all. In mathematics, we define probability in a similar sense.

What is Probability?

Probability is the measure of uncertainty of any event (any phenomenon happened or bound to happen).

What is event?

In probability, the set of outcomes from an experiment is known as an Event.

What is random events?

An event with a probability of occurrence determined by some probability distribution.

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Answer:

x = 16

Step-by-step explanation:

1: Put the numbers into an equation.

(1672.50 - 1068.50) / 37.75x

2: Solve the equation in parentheses.

(604) / 37.75x

3: Divide.

16 = x

Only 16 players can be brought to the tournament

The coefficient of the third term in the given expression is -4

From the question, we are to determine the coefficient of the third term in the given expression.

A coefficient is the numerical value that is written along with a variable or it is multiplied by the variable.

The given expression is

5 – 2t3 – 4t3u3 + 8v

This can be properly written as

5 - 2t³ - 4t³u³ + 8v

The third term in this expression is - 4t³u³

In this term, the numerical value that is written along with the variable is -4

Hence, the coefficient is -4

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The equation that model the total amount of money Dominique spends on travel each day if her route to work is x miles long is 3 + 1.25x = 11.75.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, Dominique uses a car service company to travel to work and back home.

The company charges a ride fee of $3.00 and $1.25 per mile. The appropriate equation will be:

3 + 1.25(x) = 11.75

where x = number of miles

3 + 1.25(x) = 11.75

3 + 1.25x = 11.75

This illustrates the equation.

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Answer:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all four sides. x is in this case the length of the rectangle while y is the width of the rectangle. The area is a measurement of the surface of a shape. for example

You are able to find the perimeter of the rectangle by adding length and width and multiplying by two because the opposite sides of a rectangle are equal in length. Both lengths of the rectangle are the same, and both widths are the same. For example, P = 2 * (14 + 8) = 2 * (22) = 44 centimeter (17.3 in).

Step-by-step explanation:

Answer:

a=100, c=44

Step-by-step explanation:

# of adult tickets is represented by a

# of child tickets is represented by c

C+A=144

9a+6c=1164

system of equations is solved by solving 1 equation for 1 variable first.

c=144-a

plug in c in the second equation

9a+6(144-a)=1164

9a+864-6a=1164

combine like terms

3a=300

a=300/3

a=100

now we know a is 100 we can plug it into the original equation of c=a=144

c+100=144

c=144-100

c=44

Applying the distributive property, the given radical expression can be represented by 15.

The properties of multiplication are:

The question gives [tex](3+\sqrt{6} )(3-\sqrt {6} )[/tex]. Therefore, you should analyze the properties presented previously, and after that, you should identify which was used.

Here, it is possible to see that you can apply the distributive property. See below.

[tex](3+\sqrt{6} )(3-\sqrt {6} )\\ 9-3\sqrt {6} +3\sqrt {6}+6[/tex]

9+0+6=15

Then,  the radical expression (3+√6)(3-√6)=15

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Answer:

0.02 or 2%

Step-by-step explanation:

$700(x)=$714

$700(0.02)=14

700+14=714

The number of ways we can select a captain and one alternate captain from a team of eleven soccer players is 55

A permutation is an act of putting things or numbers in a particular order. Combinations are a method of selecting objects or numbers from a group of objects or collections without regard for their order.

Given that soccer player = 11

We have to find in many ways we can choose a captain and one alternate captain from a team of eleven soccer players

Out of 11 player, we have to pick one captain and one alternate captain

nCr ways

nCr = n!/r!(n-r)!

Here n = 11 and r = 2

= 11C2

= 11!/2!(11-2)!

= 11! / 2!.9!

= ((11x 10 x 9!)/2!.9!)

= (11 x 10)/2

= 110/2

= 55

Therefore the number of ways we can select a captain and one alternate captain from a team of eleven soccer players is 55

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