Answer:
87
Step-by-step explanation:
87
Solve using the correct order of
operations.
P
E
MD
AS
15-(4-3) 2= [?]
Enter
Help
Using the correct order of operations, the value is 13
What is PEDMAS?PEDMAS is simply described as a mathematical acronym that represents the different arithmetic operations in order from least to greatest of application.
The alphabets represents;
P represents parentheses.E represents exponents.D represents division.M represents multiplication.A represents addition.S represents subtraction.From the information given, we have;
15-(4-3)2
solve the parentheses first
15 - (1)2
Multiply the values
15 - 2
Subtract the values
13
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The complete question:
Solve using the correct order of
operations of PEMDAS
15 - (4-3)2
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In the diagram, ∠AFG and ∠CGF are what type of angles?
A) same side interior angles
B) corresponding angles
C) alternate interior angles
D) alternate exterior angles
E) vertical angles
Amari gathered a random sample of favorite beverages of the students in her class. She calculated data on different variables. For one of the variables that she collected, she constructed a bar graph.
Which of the following variables did she use?
Price of beverage
Type of beverage
The volume of the beverage
Number of ounces in the beverage
Amari almost likely used "types of beverage" as that of the factor while creating the bar graph.
What are the uses of bar graphs?The bar graph makes it simple to compare various sets of data across various groups. The connection is depicted using two axes, with the discrete values with one axis and the categories on the other. The graph displays the key alterations in the data over time.
What distinguishes a bar graph from a histogram?
The visual depiction of categorical data is a bar graph. The visual depiction of quantitative data is called a histogram. Every pair of following bars is separated by an equal amount of space.
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Answer:
Type of drink is the answer
Step-by-step explanation:
1. A rational number between √2 and √3 is
[tex]\sqrt{2} = 1.414[/tex]. [tex]\sqrt{x3} = 1.732[/tex]. So, a rational number between those two would be [tex]1.5 (\frac{3}{2} )[/tex].
What is an example of a rational number?A rational number is any fraction with a non-zero denominator. Examples for rational numbers comprise 1/2, 1/5, 3/4, as well as other values. The number "0" also qualifies as a rational number since there are various ways to express it, including 0/1, 0/2, 0/3, etcetera.
Simply put, what's a rational number?Any number that can be expressed as a fraction and where the divisor (the bottom number) and the numerator (the total score) are both integers is considered a rational number. In other words, p/q, where both p and q both are integers and q 0, can be used to represent a rational number.
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Which of the following describes the transformation from Figure 1 to Figure 2?
On a coordinate plane, figure 1 has points (negative 2, 5), (negative 2, 4), (negative 3, 4), (negative 3, 2), (negative 5, 2), (negative 5, 5). Figure 2 has points (2, negative 5), (2, negative 4), (3, negative 4), (3, negative 2), (5, negative 2), (5, negative 5).
Initially, while maintaining the very same [tex]x-[/tex]coordinates, the negative reflect across the [tex]x-axis[/tex] modifies the signs of all locations' [tex]y-[/tex]coordinates.
Negative: Does it signify plus or minus?A negative value is one that always has a value lower than zero and is denoted by the minus (-) symbol. In a number line, negative values are displayed just left of zero.
What is the significance of both positive and negative values in math?If a number is higher than zero, it is considered positive. Or less zero numbers are referred to as negative numbers. If a number is bigger than that or equal to zero, it is not negative. If a number falls below or equal to zero, it is non-positive.
This transforms Figure [tex]1[/tex] into a new figure with points [tex](-2, -5), (-2, -4), (-3, -4), (-3, -2), (-5, -2), (-5, -5)[/tex].
Next, the [tex]180^{0}[/tex] rotation about the origin swaps the signs of both [tex]x[/tex] and [tex]y[/tex] coordinates of each point. This results in the final figure with points [tex](2, -5), (2, -4), (3, -4), (3, -2), (5, -2), (5, -5)[/tex].
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Find the standard normal area for each of the following(round your answers to 4 decimal places)
Answer:
(a) 0.0955
(b) 0.0214
(c) 0.9545
(d) 0.3085
Step-by-step explanation:
You want the area under the standard normal PDF curve for intervals (1.22, 2.15), (2.00, 3.00), (-2.00, 2.00), and (0.50, ∞).
CalculatorThe probability functions of a suitable calculator or spreadsheet can find these values for you. The attachment shows one such calculator. Its "normalcdf" function takes as arguments the lower bound and upper bound.
We used 1E99 as a stand-in for "infinity" as recommended by the calculator's user manual. For the purpose here, any value greater than 10 will suffice.
choose 5 objects without replacement from 17 objects
Answer:
6188 ways
Step-by-step explanation:
there ate 5 objects to be choosen and there is no replacement of the object therefore you got
17 choices for the first selection of the object and 16 objects for the selection of the second object and so on until you get 13 objects for the last selection
totally you have 5 selections also arrangement does not matter there fore you have 17!/12!5! which is 6188
note we used 5! cause there are 5 placed objects and 12! are unplaced objects
note
that you have used one so you have to deduct one every time you use one
plssss helpppppp!!!!
Answer:
2.
a) log base 10 of 100
b) The expression means that 10 to the 2nd power equals 100.
c) 2
3.
4. It would make sense that the value is between 1 and 2 because 10 to the 1st power is 10, and 10 to the 2nd power is 100. 50 is between 10 and 100 so the value would have to be between 1 and 2. This works because logs are the inverse function to exponentiation.
a) 2.6021
b) 3 and the value is exact because the base 10 in the log expression is technically the exponent when you convert it to exponent form. This works because logs are the inverse function to exponentiation. So 10 to the 3rd power would give you exactly 1000.
what are the relation between point and circle
The relation between a point and a circle is relative to the location of the point relative to the circumference of the circle, which can be inside, at the circumference, or outside.
How to describe the relation between a point and a circle?The relationship between a point and a circle can be described as follows:
A point can be located inside a circle if and only if its distance from the center of the circle is less than the radius of the circle.A point can be located outside a circle if and only if its distance from the center of the circle is greater than the radius of the circle.A point can lie on the circumference of a circle if and only if its distance from the center of the circle is equal to the radius of the circle.More can be learned about points and circles at https://brainly.com/question/25871159
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Let f(X)=x-8 and g(X) =4x^2. Perform the function operation and then find the domain of the result. (f-g)(x)
Answer:
(f - g)(x) = -4x² + x - 8
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
= x - 8 - (4x²)
= -4x² + x - 8
please help me 25 points
Answer:
7. 300 miles
8. 60 miles
9. 5 miles
10. 1000 meters
Step-by-step explanation:
7.
We Take
60 x 5 = 300 miles
So, Ruth drives 300 miles in 5 hours.
8.
5 miles = 10 minutes
1 mile = 2 minutes
2 hours = 120 minutes
We Take
120 / 2 = 60 miles
So, Carl drive 60 miles in 2 hours
9.
1 hour and 25 minutes = 85 minutes
We Take
85 / 17 = 5 miles
So, Nick travels 5 miles in an hour and 25 minutes.
10.
100 meters = 2 minutes
50 meters = 1 minute
We Take
50 x 20 = 1000 meters
So, Stan swims 1000 meters in 20 minutes.
Answer:
7. 300 miles/hours
8. 60 miles in 2 hours
9. 5 miles in 2 hours and 25 mins.
10. 1000 meters in 20 minutes.
Step-by-step explanation:
7. 60 x 5= 300 miles/hours
8. 5 miles in 10 minutes so in 2 hours it will be 5 x 12 = 60 miles in 2 hours
9. 5 miles in 2 hours and 25 mins.
10. 1000 meters in 20 minutes.
Find an angle in each quadrant with a common reference angle with 210°, from 0°≤θ<360°
As a result, the angles with a common reference angle of 150° in each quadrant are as follows: 210° in the first quadrant, 330° in the second, 30° in the third, and 150° in the fourth (which is equivalent to 510°).
What does a math angle mean?An angle is created by combining a set of beams (half-lines) with the same shared terminal. The angle's vertex is the latter, while the rays are alternately referred to as both the angle's leg and its arms.
By deducting 210° from 360° and obtaining the exact value of the result, one may get the reference angle:
Angle of reference = |360° - 210°| = 150°
We may add or subtract multiples of 360° or 180° as necessary to determine angles in each quadrant with such a common reference angle of 210°.
First Quadrant:
By deducting 150 degrees from 360 degrees, one can find an angle for the first quadrant with such a reference angle of 150 degrees:
θ = 360° - 150° = 210°
Second Quadrant:
An angle in the second quadrant with a reference angle of 150° is found by adding 150° to 180°:
θ = 180° + 150° = 330°
Third Quadrant:
By deducting 150 degrees from 180 degrees, one can find an angle inside the third quadrant using a reference angle of 150 degrees:
θ = 180° - 150° = 30°
Fourth Quadrant:
Addition of 150 degrees to 360 degrees yields an angle inside the fourth quadrant with such a reference angle of 150 degrees:
θ = 360° + 150° = 510°
However, since we are looking for angles within the range of 0° to 360°, we can subtract 360° from the angle in the fourth quadrant to get an equivalent angle in the first quadrant:
θ = 510° - 360° = 150°
With such a common reference angle of 150°, the angles in each quadrant are as follows:
210° in the first quadrant
330° in the second quadrant
30° in the third quadrant
150° in the fourth quadrant (which is equivalent to 510°
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What are the values of each of the exterior angles?
A) 30º, 30º, 60º, 60º
B) 90º, 90º, 180º, 180
C) 60º, 60º, 120º, 120º
Answer:
C) 60º, 60º, 120º, 120º
Step-by-step explanation:
We know the sum of all the angles in a rectangle is 360 degrees, whether it's irregular or not.
Given: x + 2x + 2x + x = 360
Calculate the linear equation, to find x.
x + 2x + 2x + x = 360
3x + 3x = 360
6x = 360 (Divide both sides by 6)
x = 60 degrees.
Then you can calculate the polygons.
x + 2x + 2x + x
For the first x, = 60.
Then for 2x, 60 * 2 = 120.
Then for 2x again, = 120.
Finally for the last x, = 60.
Therefore, the answer is C) 60º, 60º, 120º, 120º.
Label each of the following as Discrete Random Variable, Continuous Random Variable, Categorical Random Variable, or Not a Variable. 1. The Name of the people in the car that crosses the bridge Not a Variable 2. The time between each car crossing the bridge Continuous Random Variable 3. The type of cars that cross the bridge Categorical Random Variable 4. The number of cars that use the bridge in one hour Continuous Random Variable Question 2 3 pts Which of these are Continuous and which are Discrete Random Variables? 1. Type of coin Continuous Random Variable 2. Distance from a point in space to the moon Discrete Random Variable 3. Number of coins in a stack Continuous Random Variable
Distance from a point in space to the moon is a continuous random variable and Number of coins in a stack is a discrete random variable.
A discrete random variable is one that has a finite number of possible values or one that can be countably infinitely numerous. A discrete random variable is, for instance, the result of rolling a die because there are only six possible outcomes.
A continuous random variable, on the other hand, is one that is not discrete and "may take on uncountably infinitely many values," like a spectrum of real numbers.
1. The Name of the people in the car that crosses the bridge - Not a Variable
2. Continuous random variable measuring the interval between each car crossing the bridge.
3. The Categorical Random Variable for the type of vehicles crossing the bridge
4. The number of cars that use the bridge in one hour - Continuous Random Variable
For Question 2:
1. Type of coin - Categorical Random Variable
2. The distance from a given location in space to the moon - Continuous Random Variable
3. Number of coins in a stack - Discrete Random Variable
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Complete question is:
Label each of the following as Discrete Random Variable, Continuous Random Variable, Categorical Random Variable, or Not a Variable.
1. The Name of the people in the car that crosses the bridge Not a Variable
2. The time between each car crossing the bridge Continuous Random Variable
3. The type of cars that cross the bridge Categorical Random Variable
4. The number of cars that use the bridge in one hour Continuous Random Variable
Question 2: Which of these are Continuous and which are Discrete Random Variables?
1. Type of coin
2. Distance from a point in space to the moon
3. Number of coins in a stack
5. Which of the graphs below illustrates water boiling in Denver, Colorado?
Your question is incomplete. The complete question is: Which of the graphs below illustrates water boiling in Denver, Colorado? (Altitude 1,600 meters.)
Answer:
The graphs that come with this question are in the picture attached.The answer is graph identified with the letter A.Explanation:
The normal boiling point of water is 100°C. That is the temperature at which water boils when the atmospheric pressure is 1 atm, i.e. at sea level.
The liquids boil when its vapor pressure equals the atmospheric pressure; so the higher the atmospheric pressure the higher the boiling point, and the lower the atmospheric pressure the lower the boiling point.
Since, it is stated that the altitude of Denver, Colorado is 1,600 m, the atmospheric pressure (the pressure exerted by the column of air above the place) is lower than 1 atm (atmospheric pressure at sea level).
Hence, water boiling point in Denver is lower than 100°C.
The graphs shown represent the temperature (T °C) as water is heated. Since when liquids boil their temperature remains constant during all the phase change, the flat portion of the graph represents the time during which the substance is boiling.
In the graph A, the flat portion is below 100°C; in the graph B, the flat portion is at 100 °C; in the graph C the flat part is above 100ªC, and, in graph D, there is not flat part. Then, the only graph that can illustrate water boiling in Denver, Colorado is the graph A.
If A B C are three matric such that AB=AC such that A=C then A is
Answer:
invertible
Step-by-step explanation:
If A is invertible then ∣A∣ =0
Consider points A(1,3) , B(4,-2) , and C(5,2). Let D be the midpoint of AB. How can you prove that C lies on the perpendicular bisector of AB? Complete each statement.
The coordinates of D are: B. (2.5, 0.5).
The product of the slopes of CD and AB is: C. -1.
This shows that AB is perpendicular to CD. Therefore, C lies on the perpendicular bisector of AB.
How to determine the midpoint of a line segment?In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).
Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
Substituting the given parameters into the midpoint of a line segment formula, the midpoint of line AB is given by;
Midpoint AB = [(4 + 1)/2, (-2 + 3)/2]
Midpoint AB = [5/2, 1/2]
Midpoint AB = (2.5, 0.5).
5, 2
Next, we would determine the slopes of line segment CD and AB:
Slope (m) of CD = (0.5 - 2)/(2.5 - 5)
Slope (m) of CD = -1.5/-2.5 = 3/5
Slope (m) of AB = (-2 - 3)/(4 - 1)
Slope (m) of AB = -5/3 = 0.6
Product of the slopes = 3/5 × -5/3 = -3/3 = -1.
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Diane deposits $70,000 into an account that pays 3% interest per year, compounded annually. Henry deposits $70,000 into an account that also pays 3% per year. But it is simple interest. Find the interest Diane and Henry earn during each of the first three years. Then decide who earns more interest for each year. Assume there are no withdrawals and no additional deposits.
Answer:
Step-by-step explanation:
For Diane's account:
Year 1: Interest = $70,000 x 0.03 = $2,100
Year 2: Interest = ($70,000 + $2,100) x 0.03 = $2,163
Year 3: Interest = ($70,000 + $2,100 + $2,163) x 0.03 = $2,227.89
For Henry's account:
Year 1: Interest = $70,000 x 0.03 = $2,100
Year 2: Interest = $70,000 x 0.03 = $2,100
Year 3: Interest = $70,000 x 0.03 = $2,100
For the first year, both Diane and Henry earn the same interest of $2,100. However, for the second and third years, Diane earns more interest than Henry. Therefore, Diane earns more interest for each year after the first year
find the slope of a line parallel to the line whose equation is 5x - 6y = 30. fully simplify your answer 
By answering the presented questiοn, we may cοnclude that Since a line equatiοn parallel tο this οne will have the same slοpe, the slοpe οf the parallel line is alsο 5/6.
What is equatiοn?When twο expressiοns are equal, a mathematical equatiοn is a statement stating that equality. Twο sides are jοined by the algebraic symbοl (=), and tοgether they make up an equatiοn. Fοr instance, the claim that "2x + 3 = 9" means that "2x plus 3" equals the number "9" is made in this argument. Finding the value(s) οf the variable(s) necessary fοr the equatiοn tο be true is the gοal οf sοlving equatiοns.
There are variοus types οf equatiοns, including regular and nοnlinear οnes with οne οr mοre elements. "x² + 2x - 3 = 0" is an equatiοn that raises the variable x tο the secοnd pοwer. Mathematical disciplines like algebra, calculus, and geοmetry all make use οf lines.
the given equatiοn:
[tex]$\begin{array}{c}{{5x-6y=30}}\\ {{-6y=-5x+30}}\\ {{y=(5/6)x-5}}\end{array}$[/tex]
Sο the slοpe οf the given line is 5/6.
Since a line parallel tο this οne will have the same slοpe, the slοpe οf the parallel line is alsο 5/6.
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11. Find the missing dimension of the rhombus.
(Hint: Use the formula A = bh.) (Lesson 1)
Answer: The missing dimension of the rhombus in the given figure is Height of rhombus h h=A/b=90/15= 6cm. so missing dimension is h=6cm
What is Dimension ?
In general, dimension refers to the measurement or size of an object, space, or quantity along a particular axis or direction. In mathematics, dimension refers to the number of coordinates needed to specify a point in a space.
What is Rhombus ?
A rhombus is a type of quadrilateral (a four-sided polygon) in which all four sides are of equal length. It is a special case of a parallelogram in which the opposite sides are parallel to each other, and its opposite angles are equal.
In the given question,
area of rhombus is A=b*h so it can be rewritten as h=A/b by substituting values given in question we get h= 6cm
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What is the slope of a line that passes through the points (-2, 3) and (4, -12)?
Can you guys help me?
Answer:
[tex]{ \sf{a = \frac{0.012}{0.633 -0.063 } }} \\ \\ { \sf{a = \frac{0.012}{0.57} }} \\ \\ { \sf{a = 0.021 \: (2 \: s.f)}}[/tex]
5. Based on the data in the table below, what is the probability that a driver aged 45 - 54 was involved in an accident? Express your answer as a percentage, rounded to 2 decimal places.
As a result, the probability of a 45-54-year-old motorist becoming involved in an accident is 5.38%, rounded to two decimal places.
What exactly is probability?Probabilistic theory is a branch of mathematics that calculates the likelihood of an event or proposition occurring or being true. A risk is a number between 0 and 1, with 1 indicating certainty and a probability of around 0 indicating how probable an event appears to be to occur. Probability is a mathematical term for the likelihood or likelihood that a certain event will occur. Probabilities can also be expressed as numbers ranging from 0 to 1 or as percentages ranging from 0% to 100%. In relation to all other outcomes, the ratio of occurrences among equally likely alternatives that result in a certain event.
To determine the likelihood that a driver aged 45-54 was involved in an accident, divide the number of drivers in that age group who were engaged in an accident by the total number of drivers in that age group:
Probability = Number of 45-54-year-old drivers involved in an accident / Total number of 45-54-year-old drivers
We can observe that 7 drivers aged 45 to 54 were engaged in an accident, with a total of 130 drivers in that age group:
The probability is 7/130 = 0.0538.
To convert this to a percentage, multiply by 100:
Probability = 0.0538 * 100 = 5.38 percent
As a result, the likelihood of a 45-54-year-old motorist becoming involved in an accident is 5.38%, rounded to two decimal places.
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how do you simplify 7/8 + 3/4?
Answer:
13/8
Step-by-step explanation:
You first find the lcm of 8 and 4 which is 8
Then make a dividing line (/) with the lcm as the numerator.
After which you start diviing the lcm by each denominator of the two terms, and then multiplying with their numerators:
8/8 x 7 + 8/4 x 3 all over the lcm which is 8
(1 x 7 + 2 x 3)/8
(7 + 6)/8
13/8
-3+b> 7 OR b +9 <17.
The solution to the compound inequality -3+b> 7 OR b +9 <17 is given as follows:
b < 8 or b > 10.
How to solve the compound inequality?The inequality for this problem is defined as follows:
-3+b> 7 OR b +9 <17.
The or operation means that the we must solve each operation separately, and then the solution set to the compound inequality is given by the union of the solution set of each of the inequalities.
The solution set for the first inequality is given as follows:
-3+b> 7
b > 10.
The solution set for the second inequality is given as follows:
b + 9 < 17
b < 8.
Hence the solution for the entire inequality is of:
b < 8 or b > 10.
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how many eggs are in a half dozen
Answer:
6
Step-by-step explanation:
We know that a dozen is the value of 12 so to find half a dozen we simply need to half it!
12 ÷ 2 = 6This means that there are 6 eggs in a half dozen.
FUN FACT:
A baker's dozen is 13, one more than a regular dozen!
Hope this helps, have a lovely day!
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Parallelogram ABCD is a rhombus with measure EBC = 36. What is the measure of DAE?
picture below
Answer:
54°
Step-by-step explanation:
AB = BC = CD = AD (Because all sides of a rhombus are equal)
Let's consider the triangle DBC:
BC = DC => ∠DBC = 36°
The angle DCB is equal to:
180° - 36*2 = 180° - 72° = 108°
In a parallelogram, opposite angles are equal.
Then the angle DAB = DCB = 108°
Also, we know that the diagonals of a rhombus are the bisectors of the angles from which they come.
So, the angle DAE = EAB = 108° / 2 = 54°
Martin has a spinner that is divided into four sections labeled A, B, C, and D. He spins the spinner twice. PLEASE ANSWER RIGHT HELP EASY THANK UU
Drag the letter pairs into the boxes to correctly complete the table and show the sample space of Martin's experiment.
Answer:
going from left to right:
AA
BD
CB
DC
Which function is represented by this graph?
A. ƒ(x) = −x² + x − 6
B. f(x) = x² – 5x +6
C. f(x) = -x² + 5x - 6
D. f(x)= x²-x+6
Answer:
Equation of B represents this graph
which purchased paint for an upcoming project. She purchased three different colors,
which come in different sized containers. How much paint does she have altogether?
Color
White
Black
Yellow
Amount
0,4 L
0.75 L
0.3 L
Answer:
1.45 L
Step-by-step explanation: