The required simplified value of the given expression is 120.
Given that the expression as;
(50 + 30) + 40.
What is simplification?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here, we have;
= (50 + 30) + 40
Now, using associative property, in parenthesis 50 + 30 become 80.
= 80 + 40
Then using associative property, 80 + 40 become 120
= 120
Thus, the simplified value is 120.
Learn more about simplification here:
brainly.com/question/12501526
#SPJ1
solve for m,n, and p.
The measure of angle n is 73°, the measure of angle m is 51° and the line p measures 24 cm.
What is midpoint theorem?The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side.
From the given figure, n is the midpoint of one side of the quadrilateral and m is the midpoint of other side of the quadrilateral.
Pair of opposite sides are parallel
Since, m and n are midpoints on two sides of quadrilateral, so the line passes through the midpoints is parallel to other two sides
Then, ∠n =73° and ∠m =51°
p = 1/2 ×48
⇒ p =24 cm
Therefore, the length of line p is 24 cm.
Learn more about the midpoint theorem here:
https://brainly.com/question/28667736.
#SPJ1
The slope of a line is the rate of change in the y-coordinates (rise) to the corresponding change in the x-coordinates (run) for points on the line.
True false question.
True
False
Answer: True
Step-by-step explanation:
The slope is the rate of change, to find it, you can get rise/run or use the equation y2 - y1 / x2 - x1
So it is true!
the environmental protection agency (epa) rates the mean highway gas mileage of the 2013 ford edge to be 27 miles per gallon. assume the standard deviation is 3 miles per gallon. a rental car company buys 60 of these cars. what is the probability that the average mileage of the fleet is less than 26 miles per gallon?
the environmental protection agency (epa) rates the mean highway gas mileage of the 2013 ford edge to be 27 miles per gallon. assume the standard deviation is 3 miles per gallon. a rental car company buys 60 of these cars, 0.2979 is the probability that the average mileage of the fleet is less than 26 miles per gallon.
What is probability?Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A probability value between 0 and 1 represents an occurrence.
The four primary categories of probability are axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you might argue that it is the likelihood that a specific event will occur.
Given that,
μ = 27
σ = 3
n = 60
As we know,
= p ( 26 < x(avg.) < 26.8 )
= p (26 - 27 / 0.3873 ) < ( x(avg.) - μ(avg.)x /σx(avg.) ) < (26.8- 27/0.3873)
= p ( -1/ 0.3873 < z < -0.2 / 0.3873 )
= p ( -2.5820 < z < -0.5164 )
= p ( z < -0.5164) - p ( z < -2.5820 )
Using z table, we get -
= 0.3028- 0.0049
= 0.2979
Thus, probability = 0.2979
To know more about probability refer to:
https://brainly.com/question/24756209
#SPJ4
NEED HELP PLSSS
Just need to explain why is it wrong
What is the slope of the line that passes through (-5,6) and (-2,4)
The slope of the line that passes through the given points (-5, 6) and (-2, 4) as required in the task content is; -2 / 3.
What is the slope of the line that passes through the given points; (-5,6) and (-2,4)?It follows from the task content that the slope of the line that passes through the given points; (-5,6) and (-2,4) be determined as required.
On this note, since the slope, otherwise termed the average rate of change is given by the formula;
Slope, m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Therefore, given the points; (-5, 6) and (-2, 4), the required slope of the line is;
m = ( 4 - 6 ) / ( -2 - (-5) )
m = -2 / (-2 + 5)
m = -2 / 3
Therefore, the required slope of the line which passes through the given points is; -2 / 3.
Read more on slope of the line;
https://brainly.com/question/28645794
#SPJ1
Turn this word problem into an equation: Three times the difference of four times a number and two decreased by the sum of the number and five equals 22. Write an equation to solve for the number.
The number based on the information given is 3.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario
In this case, three times the difference of four times a number and two decreased by the sum of the number and five equals 22.
Let the number be x
3(4x - 2) - (x + 5) = 22
12x - 6 - x - 5 = 22
11x - 11 = 22
11x = 22 + 11
11x = 33
Divide
x = 33 / 11
x = 3.
The number is 3
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
If a film takes 90 minutes to show, what fraction of the film is completed 15 minutes after it begins? Show work.
Answer:
90-15=75
75/90= 5/6
ans: 5/6
1/6
Step-by-step explanation:Combine:We can combine the two numbers together to get the fraction we are looking for:
15/90
Simplify:By simplifying, we get:
1/6
We get this answer by dividing the highest possible number by both fractions. In this case, the number would be 15:
15 ÷ 15 = 1
90 ÷ 15 = 6
1/6
Solution:1/6
I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
X is a normally distributed random variable with mean 61 and standard deviation 8.
What is the probability that X is greater than 53?
The probability that X is greater than 53
What is probability ?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Formula for calculating the standard score or z score:
z = x-μ/σ, where:
z is the standard score
x is the raw score
μ is the population mean
σ is the population standard deviation
In this question: μ = 61 and σ = 8
The score is greater than 53
Let’s calculate the z score, for x = 53 and then find the probability for x greater than 53
z = (53 - 61)/8
= -8 / 8
= -1
To learn more about probability from the given link
https://brainly.com/question/24756209
#SPJ1
Given \qquad m \angle ABDm∠ABDm, angle, A, B, D is a straight angle. \qquad m \angle CBD = 8x + 16^\circm∠CBD=8x+16 ∘ m, angle, C, B, D, equals, 8, x, plus, 16, degrees \qquad m \angle ABC = 6x - 60^\circm∠ABC=6x−60 ∘ m, angle, A, B, C, equals, 6, x, minus, 60, degrees Find m\angle ABCm∠ABCm, angle, A, B, C:
The value of measure m∠ABC will be 24°.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
As per the given m∠ABD is a straight angle.
m∠ABD = 180°
m∠ABC + m∠CBD = m∠ABD
6x - 60 + 8x + 16 = 180°
14x - 44 = 180
14x = 224
x = 14
Thus, m∠ABC = 6(14) - 60 = 24°
Hence "Measure ∠ABC will equal 24° in value".
For more about the angle,
brainly.com/question/13954458
#SPJ1
The correct question below,
A coin is tossed and an equally divided spinner is spun. Cut in 5 containing numbers (1, 3, 5, 7, 9).
What is the probability of a head on the coin or a prime number on the spinner?
Explain Why
elves really love candy canes. they eat 2 a day how many candy canes do they eat throughout the entire year
Slopes of parallel and perpendicular lines
Answer:
The slope of both equations is 7. Yes, since the slopes are the same, the lines are parallel.
Step-by-step explanation:
For both equations, as the x increased by 1, the y increased by 7.
Select the correct answer. What would be the value of $150 after eight years if you earn 12 percent interest per year? a. $371. 39 b. $415. 96 c. $465. 88.
The value will be $371.39.
What is compound interest?Compound interest is the interest you earn on interest. This can be illustrated by using basic math: if you have $100 and it earns 5% interest each year, you'll have $105 at the end of the first year. At the end of the second year, you'll have $110.25.
The formula to calculate the compound amount after t years is given by :-
A =P [tex](1 + R)^{T}[/tex]
where the interest rate is r and P represents the principal amount.
Given: $150 is the principal sum.
Interest is charged at a rate of 12%/0.12
A = 150 will be the amount compounded after 8 years.
A = 150 [tex]( 1 + 12 )^{8}[/tex]
A =371.3944
A = $371.39
Hence, the value of $150 after eight years if you earn 12 percent interest per year would be $371.39.
option a. is right
To know more about compound interest click the link:
brainly.com/question/18456266
#SPJ4
While Zihao was pooping, Zihao-2 ringed to the door. Find the speed of Zihao to open the door, when toilet is on 25 m in front of the door for 5 sec
The speed of Zihao to open the door, when toilet is on 25 m in front of the door for 5 sec is 5m/sec.
What is meant by speed, distance and time?The formula used to explain the relationship between speed, distance, and time is speed distance time. That is speed = distance time. Alternatively, you can calculate the time by dividing the distance traveled by the speed. You can figure out the third input if you know two of the inputs. For instance, the length of the line segment that connects two points equals the distance between them. The formula for finding the distance between two points in a two-dimensional plane—which can be expanded to discover the distance between two points in a three-dimensional plane as well—is derived using the Pythagoras theorem.
Given,
Distance=25m
Time=5sec
Speed?
We know that,
Speed=Distance/Time
Speed=25/5
Speed=5m/sec
Therefore, the speed of Zihao to open the door, when toilet is on 25 m in front of the door for 5 sec is 5m/sec.
To know more about time, speed, distance, visit:
https://brainly.com/question/3485820
#SPJ1
What is the coefficient in this expression? 25pq Responses 25 2/5 p p 5 5 2
The coefficient in the expression is 25.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.Given is the following expression -
f(p, q) = 25pq
The coefficient in the expression is 25.
Therefore, the coefficient in the expression is 25.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ1
Answer:
25
Step-by-step explanation:
Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a
standard deviation of 4.5 inches.
Calculate the range of horn lengths for the middle 95% of Texas Longhorn cattle. Show your work or
explain how you got your answer.
The range of horn lengths for the middle 95% of Texas Longhorn cattle is (51 inches, 69 inches)
What is a normal distribution?
A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution.
Here, we have
Given:
Horn lengths of texas longhorn cattle are normally distributed
The mean horn spread: μ = 60 inches
With a standard deviation: σ = 4.5 inches
According to the normal distribution, the range for the middle 95% of the values is: (μ - 2σ, μ + 2σ)
Replacing the given values:
(60 inches - 2(4.5 inches), 60 inches + 2(4.5 inches))
(60 inches - 9 inches, 60 inches + 9 inches)
(51 inches, 69 inches)
Hence, the range of horn lengths for the middle 95% of Texas Longhorn cattle is (51 inches, 69 inches)
To learn more about the normal distribution from the given link
https://brainly.com/question/4079902
#SPJ1
the overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.9 cm . a. find the probabil
There is an 8.1% probability that any given distance will exceed 212.50 cm.
What is probability?A probability is a numerical representation of the likelihood or chance that a specific event will take place.
Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
I frequently remind kids that we can express probabilities as ratios, percentages, fractions, or decimals so they are aware of the variety of ways we express odds.
So, the probability that the individual distance is greater:
z = 212.50-200/8.9 = 1.4
Looking up 1.4 in the normal distribution table:
P(z>1.4) = 1 - 0.9192 = 0.0808
= 8.1%
Therefore, there is an 8.1% probability that any given distance will exceed 212.50 cm.
Know more about probability here:
https://brainly.com/question/28924396
#SPJ4
Complete question:
The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.9 cm.
a. find the probability that an individual distance is greater than 212.50 cm.
What is the rate of 640:4
Answer: 160
Step-by-step explanation: If I remember correctly, the formula for finding the rate is:
r = d/t
So, rate = 640/4
When I divided it, I got 160.
I hope this helped!
Answer:
25.6
Step-by-step explanation:
while i do not know how to do this is dod use a rate calculator so hopes this help!
an area of 10 square inches. Estimate the value to five decimal places.
Answer: sqrt 10
Step-by-step explanation:
3.16227...
Find the equation of the line that is parallel to the line y = 5x + 10 and passes through the point (-6, -10). Write the equation in slope-intercept form.
What is 3 percent of 98
Answer:
2.94
Step-by-step explanation:
I just found 1%
Which is 0.98
then times that by 3 which is 2.94
hope that helps!
Suppose y varies directly with x. When x is 3, y is 18. What is x when y is 24?
Answer:
4
Step-by-step explanation:
If I'm reading it correctly, x is multiplied by 6 to equal y.
So, 3(x) x 6 = 18(y)
Therefore, 24/6 = 4 OR, 4(x) x 6 = 24(y)
What is the product of 6/sqrt(3) and 3/sqrt(6) in simplest radical form?
The answer is 54√2.
What is simplest radical form?
The radical form is fairly simple. It refers to the form of numbers or algebraic expressions below radicals. However, this can be improved by manipulating numbers or algebraic expressions in their radical form into what is called the simplest radical form. There are no longer any square, cube, fourth, or other roots to be found when a radical is simplified into its simplest possible form. It also entails eliminating any radicals from the fraction's denominator.
SSolving the equations,
=6√3 × 3√6
=( 6 × 3 )√( 6 × 3 )
=18√18
= 18√(2×9)
=18 ( √2 × √9 )
=(18 × 3)√2
= 54√2
Therefore, The answer is 54√2.
To know more about simplest radical form, visit:
https://brainly.com/question/27887772
#SPJ1
Area of a solid box in the shape of a cube with side length 9cm
Answer:
486
Step-by-step explanation:
area of a cube =6x²
length= 9
area=6×9²
=6×81
=486
HELP!! Find (ƒ – g)(x) if f(x) = 4x² – 5x and g(x) = 3x² + 6x − 4.
-
○ (ƒ − g)(x) = −x² + 11x − 4
○ (ƒ − g)(x) = −x² — x^4
○ (ƒ − g)(x) = 7x² + x − 4
○ (ƒ − g)(x) = x² − 11x +4
○ (ƒ − g)(x) = x² − 11x +4 is the correct Answer
Answer:
ƒ(x) = 4x² – 5
g(x) = 3x² + 6x − 4.
(ƒ – g)(x) = ƒ(x)–g(x)
= 4x² – 5 –(3x² + 6x − 4)
= 4x²–5x –3x²–6x+4
= 4x²–3x² –5x–6x +4
= x² − 11x +4
[tex] [/tex]
Thank you
An irrational number is a number that…..
O can be written as a fraction
O usually goes on forever with no repeating decimals
O written as whole integers
O perfect squares
There are 35 questions total that will be posted in mathematics as this is Algebra I!
Whoever answers correctly and with an explanation will receive Brainliest when the option shows up on my end!
PLEASE ANSWER ASAP!!
Answer:
A. Can be written in a fraction.
Step-by-step explanation:
Do you need any help..
Rational number can be any number that can also be wrote as a ratio or fraction of two integers would be commonly known as a rational number…
The radius of a circle is 2 meters. What is the circle's area? r=2 m
3.14
The area of the circle with the given radius would be = 12.56m².
What is a circle?A circle is defined as the figure that do not posses any form of edges or corners and is known as a two dimensional figure with a center of 360°.
The area of the circle can be gotten when the radius is given.
The formula used for the calculation of the area of a circle = πr²
Where,
Pie (π) = 3.14 or 22/7
Radius (r) = 2 m
Area = 3.14 × 2²
= 3.14 ×4
= 12.56 m²
Therefore, the area of the given circle would be = 12.56m².
Learn more about circle here:
https://brainly.com/question/24375372
#SPJ1
what is the answer of this question?
Answer:208
Step-by-step explanation:
204+206+208.
Step-by-step explanation:
let the even numbers be :
x+(2+x)+(4+x)
so 3x+6=618
3x=618-6
3x/3=612/3
x=204
Find (2) (-3)
Help, help , help , help
Answer:
-6
Step-by-step explanation:
-6
Find the simple interest:
Principal: $1,750
Interest Rate: 2%
Time: 9 years