Answer:
Step-by-step explanation:
3). Definition of Congruent Angles
4). Substitution Property of Equality
5). 6x + 14 - 4x = 34 + 4x - 4x Subtraction Property of Equality
6). 2x + 14 - 14 = 34 - 14 Subtraction Property of Equality
7). x = 10 Division Property of Equality
8). 6(10) + 14 = 74 Substitution Property of Equality
9). 34 + 4(10) = 74 Substitution Property of Equality
10). Angle addition Postulate
11). Substitution Property of Equality
Mrs. Hudson plans to give a 10 question multiple choice exam in which each question has 4 options. Each question counts for 1 point. A score of 8 or more is a passing score while 7 or less is a failing score. The probabilities of guessing a certain number of questions correctly are listed in the table below.
Number of Questions Correct
Probability for Guessing Correctly
0
0.05631351
1
0.18771172
2
0.28156757
3
0.25028229
4
0.14599800
5
0.05839920
6
0.01622200
7
0.00308990
8
0.00038624
9
0.00002861
10
0.00000095
Compute the probability of answering 8 or more questions correctly by calculating the probability with a direct sum and by using complements.
How do the two approaches compare?
Answer:
0.0004158
0.00041581
Step-by-step explanation:
Given that :
Number of Questions Correct
Probability for Guessing Correctly
0
0.05631351
1
0.18771172
2
0.28156757
3
0.25028229
4
0.14599800
5
0.05839920
6
0.01622200
7
0.00308990
8
0.00038624
9
0.00002861
10
0.00000095
Probability of answering 8 or more questions correctly ;
Direct sum:
P(x ≥ 8) = p(8) + p(9) + p(10)
P(≥ 8) = 0.00038624 + 0.00002861 + 0.00000095
= 0.0004158
Complement :
P(x ≥ 8) = 1 - p(x ≤ 7)
1 - [p(7) + p(6) + p(5) + p(4) + p(3) + p(2) + p(1) + p(0)]
1 - [0.00308990 + 0.01622200 + 0.05839920 + 0.14599800 + 0.25028229 + 0.28156757 + 0.18771172 + 0.05631351]
1 - 0.99958419
= 0.00041581
Is quadrilateral ABCD a rectangle why or why not?
Answer:
Yes, quadrilateral ABCD is rectangle.
Step-by-step explanation:
This is because by looking at the terminology of ABCD, there are 4 variables in total together. This is also because when you see 4 variables together as one, it is a 4 sided quadrilateral.
Feel free to give brainliest.
Have an amazing day!
simplify I know I spelled it wrong
Answer:A
Step-by-step explanation:
Answer:
D ) 25t + 10
Step-by-step explanation:
Re-order terms so constants are on the left:
(5t+2) 5
5 (5t +2)
Distribute:
5 (5t +2)
25t +10
Answer:
25t +10
A cheesecake recipe says, "Mix 12 oz of cream cheese with 15 oz of sugar. How many ounces of cream cheese are there for every ounce of sugar?_ How many ounces of sugar is that for every ounce of cream cheese?
What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (2, −1)? y = Negative one-thirdx − One-third y = Negative one-thirdx − Five-thirds y = 3x − 3 y = 3x − 7
Answer:
D, y = 3x − 7
Step-by-step explanation:
Edge 2020, mark as brainliest plz
Answer:
The Answer is D.
Step-by-step explanation:
Mallory's mom gave her $25.00 to buy school supplies. Mallory needs to buy 5 notebooks and some mechanical pencils. If each notebook costs $2.19 and each mechanical pencil costs $1.50, how many mechanical pencils can Mallory buy using only the money her mom gave her?
Answer:
Mallory can buy 16 notebooks
Step-by-step explanation:
You divide 25.00 by 1.50 which is 16.6 repeating. so, she can only buy 16 notebooks
Answer:
she can buy 9 pencils
Step-by-step explanation:
A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 9-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? Before you try that problem, answer the question below. How many inches of ribbon does the dressmaker have, in total?
Answer:
She can cut 180 (9 - inch) pieces
Step-by-step explanation:
A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 9-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? Before you try that problem, answer the question below.
Step 1
How many inches of ribbon does the dressmaker have, in total?
1 roll of ribbon = 9 feet
15 rolls of ribbon = x feet
x = 15 roll × 9 feet
x = 135 feet
Converting from Feet to inches
1 foot = 12 inches
135 feet = x inches
Cross Multiply
x = 135 × 12 inches
x = 1620 inches
The dress maker cuts 9 inches each
How many 9-inch pieces can the dressmaker cut from 15 of these rolls of ribbon?
15 rolls of ribbon = 1620 inches of ribbons
Hence: = 1620 inches/9
= 180 pieces
She can cut 180 (9 - inch) pieces
What is the diameter of a circle with the equation (x – 4)2 + (y + 6)2 = 64?
a. 4
b. 8
c. 16
d. 64
Answer:
16Step-by-step explanation:
step one:
given data
we are given the equation of the circle as
[tex](x -4)2^ + (y + 6)^2 = 64[/tex]----------------1
We know that the general equation for a circle is
[tex]( x - h )^2 + ( y - k )^2 = r^2[/tex]--------------2
comparing the two equations above, we can immediately compare the term on the other side of the equality sign that is
r^2=64
square root both sides
r=√64
r=8
since the radius is 8, hence the diameter is
d=2
r= 2*8
=16
Answer:
C. 16
Step-by-step explanation:
Edge!
Solve plzzz ASAP due today
Answer:
#3- x=2.73
#4- x=8
Step-by-step explanation:
Answer: X = 3 / X = 8
Step-by-step explanation:
3. (Angles add up to 180)
30x + 4 + 86 = 180
30x + 90 = 180
subtract 90 from both sides
30x = 90
Now divide by 30
x = 3
Check your work ( input 3 to the equation)
30(3) + 4 + 84
90+ 90 = 180 it works :)
4. (Angles are adjacent to each other so there equal)
10x - 3 = 77
add 3 to both sides
10x = 80
divide it by 10
x = 8
Check your work ( input 8 to the equation )
10(8) -3 = 77
80 - 3 = 77
77 = 77
a.5÷4 divide and show work
Answer:
1.25
Step-by-step explanation:
1.25
THATS THE ANSWER
✨✨✨✨✨✨✨✨
Find the slope of the line y = -5/4x - 2
Answer:
-5/4
Step-by-step explanation:
y=mx+b
m= slope
b= y-intercept
m= -5/4
what is the equation of the line in slope intercept form
Answer:
y=-5x
Step-by-step explanation:
True or false Every relation that is linear, must be a function?
Answer: False
Step-by-step explanation: Let's review the idea of graphs.
For a graph to be linear, it must be a straight line.
To determine whether a given graph is a function,
we use the vertical line test.
The vertical line test tells us that if a vertical line is drawn on a graph,
and hits the graph in more than one place, the graph is not a function.
In fact, this definition tells us the only type of linear graph
that will fail the vertical line test, and that's a vertical line.
Any vertical line that we draw will be both linear and not a function.
One possible graph could be x = 2.
Any vertical line will fit this description.
Match the term with the definition. (5 points) Column A 1. Line : Line 2. Line Segment : Line Segment 3. Ray : Ray 4. Point : Point 5. Vertex : Vertex Column B a. a location, has no dimension b. the common endpoint of two segments or rays that form the "corner" of an angle c. an infinite number of points extending in opposite directions that has only one dimension d. part of a line that has two endpoints e. part of a line that has one endpoint and continues in one direction infinitely
Answer:
a. Point.
b. Vertex.
c. Line.
d. Line segment.
e. Ray.
Step-by-step explanation:
a. Point: a location, has no dimension. Also, a point doesn't have a size i.e no length, depth, breadth or height.
b. Vertex: is the common endpoint of two segments or rays that form the "corner" of an angle.
c. Line: is an infinite number of points extending in opposite directions that has only one dimension.
d. Line segment: is part of a line that has two endpoints.
e. Ray: is part of a line that has one endpoint and continues in one direction infinitely.
please help thank you
Answer:
You would earn $637
Equation: (4,800x6.5%)+325
Step-by-step explanation:
6.5%= 0.065
So 4800 times 0.065 is 312.
Then you add 312 to the weekly salary of 325
325+312= 637
Quadratic functions. Did I do it right?
Answer:
1) The graph is opening upwards
2) Axis of symmetry is x=-2
3) Vertex: (-2, 1) minimum y=1
4) y intercept is (0, 9)
5) domain: x|x ∈ R (All real numbers)
6) Range y|y ≥ 1
plz answer its due today!!
Answer:
-5/8
Step-by-step explanation:
find a factor of 5x^2+ 27x - 56
A triangle has an area of
2x2 + 4x – 16 square meters. If the base
is x – 2 meters, find the height
Answer:
The expression for the area of the given triangle is 5x^4+4x^3units
Step-by-step explanation:
Let p(x) = -2x - 9. If p(x) = -19, find x.
Answer:
x=5
Step-by-step explanation:
Step 1: Flip the equation.
−2x−9=−19
Step 2: Add 9 to both sides.
−2x−9+9=−19+9
−2x=−10
Step 3: Divide both sides by -2.
Exact Form:
x = 9/17
Decimal Form:
x = 0.52941176…
Edit: "but what are the steps to get 9/17"
1. Move all terms containing x to the left side of the equation.
2. Divide each term by −17 and simplify.
Identify the most reasonable unit to measure the volume of a glass of orange juice.
Answer:
Liters
Step-by-step explanation:
Every recipient that has a volume of liquid in it,you mesure it in liters!
Elijah is keeping track of his baby sister’s shoe size at different ages throughout her childhood. Which statements about the relationship between Elijah’s sister’s shoe size and her age are true? Select all that apply.
A. The relationship is a continuous function.
B. The relationship is a discrete function.
C. The domain and range are restricted to positive numbers.
D. The domain and range are restricted to positive integers.
Answer:
B and D
Step-by-step explanation:
The function is the relation between the sister's shoe size and her age, being age the independent variable x, and the shoe size the dependent variable y.
If we think this through, we'll find out that age is a discrete variable, and shoe size too. Discrete variable refers to those variable that only admit whole numbers, they don't admit decimal numbers. So, in this case, both variables aren't represented by decimal values. So, the relationship is discrete function, punctual data.
Similarly, the function must be restricted to positive integers, because, as we already said, the variable only admit discrete values and we have to add that only should admit positive discrete values, because age cannot be negative, it wouldn't make sense, also shoe size cannot be negative. In this context, negative numbers don't make any sense.
Answer:
b and d
Step-by-step explanation:
1. In order to increase sales the price of a Concorde airliner is reduced from
$30,000,000 to 28,400,000, what percentage reduction is this?
Answer:
5.33%
Step-by-step explanation:
(28,400,000÷30,000,000 ) × 100%
= 94.67%
the reduced amount = 100 - 94.67
= 5.33%
Answer:
5.333333333333334%
Step-by-step explanation:
5.333333333333334% of 30,000,000 = 1,600,000
Tip: Don't get scared by numbers, percentage don't change by how many zeros, i found this just by figuring out by: 1.6 is what percentage of 30?
You could find it on a "Percentage calculator"
Hope this helps!
Ace Carlos
2x=17 what is the value of x
Answer: X = 8.5
Step-by-step explanation:
2x = 17
divide by 2
x = 8.5
By solving the value we get the value of x that is equal to 8.5.
Calculating the value of x:When considering unknown values, the value of x is used. In algebra, the letter "x" is frequently used to denote an unknown value. It's called a "variable" or an "unknown" in other circumstances.[tex]\to[/tex] 2x=17
[tex]\to[/tex] x=[tex]\frac{17}{2}[/tex]
[tex]\to[/tex] x=8.5
Find out more about the value of x here:
brainly.com/question/14170328
Delia measured a doorway to be 1 meter wide. Which of these is a nearly equivalent measurement? A 15 miles B 10.5 yards C 3.3 feet D 98.7 inches
Answer:
c
Step-by-step explanation:
Las edades de los estudiantes de primer semestre de preparatoria oscilan entre
14 y 17 años. En un salón de 18 alumnos se tienen los siguientes datos.
Alumnos 1 2 3 4 5 6 7 8 9 1
0
1
1
1
2
1
3
1
4
1
5
1
6
1
7
1
8
Edades 1
6
1
5
1
7
1
4
1
4
1
4
1
4
1
5
1
5
1
6
1
6
1
6
1
6
1
7
1
7
1
5
1
5
1
5
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee hiiii
Step-by-step explanation:
I need help ASAP please
Answer:
4th one is correct
Step-by-step explanation:
You buy a used car for $20,000. It depreciates at the rate of 21% per year. Find the value of the car for the given years.
A. 5 years.
B. 8 years.
Answer:
a is 840 ,b is 525
Step-by-step explanation:
At the end of each year, its value is down to 79%, which is 0.79 times its value at the start of the year. Keep this up for n years and the value is
V(n) = $20,000 (0.79)n,
where n is the number of years elapsed from when the value was $20,000. Just plug in n=5 and n=8, evaluate, and get your 2 answers.
Answer:
A. 5 years
Step-by-step explanation:
21% of 20,000 is 4200, mutiply that by 5 and get $20,000
7m+21=5m−5
Can someone help me?
Answer:
m=13
Step-by-step explanation:
7m+21=5m-5
7m-5m=2m
2m+21=-5
-5-21=-26
2m=-26
-26/2
13
13=m
Answer:
m=-13
Step by step is glitching out
help!!! I will give brainliest!
Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.