The probability that a person gets there in less than 3 minutes on at least 4 of the next 6 days is 0.3969.
Define 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. By dividing the number of positive outcomes by the entire number of possible outcomes, probability—the likelihood that an event will occur—is determined. The most basic illustration is a coin toss. There are only two outcomes when you flip a coin: either it comes up heads or tails.
Given,
Mean = 4 minutes
= 1/4
= 0.25
The probability that someone will be attended to in less than three minutes on any given day is:
P( X ≤3)
= 1- e⁻⁰²⁵⁽³⁾
= 0.5267
The probability is:
P( X ≥ 4)
= P( X = 4) +P( X = 5 ) + ( X = 6)
= 0.2594 + 0.1159 + 0.216
= 0.3969
The probability that a person gets there in less than 3 minutes on at least 4 of the next 6 days is 0.3969.
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Description of End behavior "-x^4-x^3+3x^2+2x+6"
The end behavior of the function is f(x) → -∞, as x→ -∞ and f(x) → -∞, as x→ +∞.
What is the end behavior of a function?A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.
The graph's final behavior is determined by a polynomial function's degree and leading coefficient.
For extremely big or very tiny values, the leading coefficient is more important than the other function coefficients. Therefore, it is sufficient to forecast the function's final behavior based on the sign of the leading coefficient.
The given function is -x⁴ -x³ +3x² +2x +6
The degree of the given function is even and the leading coefficient is negative. So,
End behavior is given by
f(x) → -∞, as x→ -∞
f(x) → -∞, as x→ +∞
The graph looks as follows:
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help me please please please triangle 2222
The surface area of the triangular prism is 936 cm².
How to find the surface area of a triangular prism?In geometry, a triangular prism is a three-sided prism.
Therefore, the surface area of the triangular prism can be calculated as follows:
surface area of triangular prism = bh + L(x + y + z)
where
b and h are the base and height of the triangular baseL is the height of the prism.x, y and z is the side of the triangle.Therefore,
surface area of triangular prism = 24 × 18 + 7(18 + 30 + 24)
surface area of triangular prism = 432 + 7(72)
surface area of triangular prism = 432 + 504
surface area of triangular prism = 936 cm²
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The graphing calculator screen below represents time on the horizontal axis and the speed of an object on the vertical axis.
The data graphed on the screen indicates which of the following about an object?
The object was at rest, then began moving, and then stopped.
O The object moved at a constant speed, then sped up, and then stopped.
O The object was at rest, then began moving, and then slowed down.
O The object moved at a constant speed, then sped up, and then moved at a constant speed again.
Check the picture below.
A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. Which ratio of gallons of blue paint to gallons of yellow paint will NOT make the same shade of green paint?
The ratio of gallons of blue paint to gallons of yellow paint will NOT make the same shade of green paint 4:9.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint.
So, the ratio of gallons of blue paint to gallons of yellow paint is
= 5 to 9 or 5:9
Now, ratio of gallons of blue paint to gallons of yellow paint will NOT make the same shade of green paint
= 1- 5/9
=4/9
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Which ordered pairs make both inequalities true? Select two options.
y < 5x + 2
y > One-halfx + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded.
(–1, 3)
(0, 2)
(1, 2)
(2, –1)
(2, 2)
An ordered pair which makes both inequalities true is: C. (1, 2).
How to determine the true ordered pairs?In this exercise, we would test each of the ordered pair with the given system of inequalities in order to determine which is true.
For ordered pair (-1, 3), we have:
y < 5x + 2
3 < 5(-1) + 2
3 < -5 + 2
3 < -3 (False).
For ordered pair (0, 2), we have:
y < 5x + 2
2 < 5(0) + 2
2 < 0 + 2
2 < 2 (False).
For ordered pair (1, 2), we have:
y < 5x + 2
2 < 5(1) + 2
2 < 5 + 2
2 < 7 (True).
y > x/2 + 1
2 > 1/2 + 1
2 > 3/2 (True)
For ordered pair (2, -1), we have:
y < 5x + 2
-1 < 5(2) + 2
-1 < 10 + 2
-1 < 12 (True).
y > x/2 + 1
-1 > 2/2 + 1
-1 > 2 (False)
For ordered pair (2, 2), we have:
y < 5x + 2
-1 < 5(2) + 2
-1 < 10 + 2
-1 < 12 (True).
y > x/2 + 1
2 > 2/2 + 1
2 > 2 (False)
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Answer:
B , C
Step-by-step explanation:
Which ordered pairs make both inequalities true? Select two options.
y < 5x + 2
y > One-halfx + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded.
(–1, 3)
(0, 2)
(1, 2)
(2, –1)
(2, 2) Edge 2022
Find the value of x.
What is Angle?
An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
From the figure, we can tell that a transversal is passing through the two parallel lines which makes corresponding angles.
In the given figure 14x+7 and 10x+5 are the two angles formed by the transversal.
14x+7=10x+5
Now take all the variable terms to one side
14x-10x=5-7
4x=-2
Divide both sides by 4
x=-2/4
Divide numerator and denominator by 4
x=-1/2
Hence the value of x is -1/2
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Find a formula for the nth term in this
arithmetic sequence:
a1 = 7, a2 = 4, a3 = 1, a4 = -2, ...
The formula for nth term in the given arithmetic sequence is 10 - 3n
For an nth term in an arithmetic sequence
U(n) = a + (n - 1)d
Where n is the number of terms
a is the first term
d is the common difference
From the sequence above
a = 7
d = 4 - 7 = - 3
The formula for an nth term is
U(n) = 7 + (n - 1)-3
= 7 - 3n + 3
Hence, the formula for nth term is 10-3n
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Challenge The Bells are adding a new room to their house. The room will be a cube with volume 4,096
ft³. They are going to put in hardwood floors, and the contractor charges $5 per square foot. How much
will the hardwood floors cost?
The hardwood floors will cost $
Answer:
$1280
Step-by-step explanation:
You want the cost of flooring a cubic 4096 ft³ room at $5 per square foot.
DimensionsEach dimension (length, width, height) of the room is the edge length of a cube with a volume of 4096 ft³.
V = s³
4096 = s³
∛4096 = s = 16 . . . . feet
AreaThe floor area is the square of the edge length:
A = s²
A = (16 ft)² = 256 ft²
CostAt $5 per square foot, the cost of flooring will be ...
($5/ft²)(256 ft²) = $1280
The hardwood floors will cost $1280.
We know that the diretrix is at x = 5 and that h = 2. This would make p =
When the directrix is at x = 5 and point in the vertex is at h = 2. Then P would be -3
What is P in parabolic equation?In the equation of parabola, P is defined as the distance between the directrix and the vertex
The vertex is defined by the points V ( h, k )
h is for the x coordinate
k is for the y coordinate
when the directrix is given in the x, we solve for P using h
P = h - point given for directrix
P = 2 - 5
P = -3
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Write a function that describes the area of the water puddle on the floor as a function of its radius. Use function notation
The formula that plots the radius against the area of such water puddle here on floor; A = πr².
Describe the term surface area?The area is the area occupied by just a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space occupied by its outer surface. A three-dimensional structure with parallel circular bases is characterized as a TA cylinder. There are no vertices on it. Area of three-dimensional shapes mainly refers to surface area.For the given question,
Let the area of the water puddle on the floor be 'A'.
Let the radius of the water puddle be 'r'.
Then, using the area of the circle,
The function for the area of the water puddle be,
A = πr²
Thus, the formula that plots the radius against the area of such water puddle here on floor; A = πr².
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Please help me
Slope=
Y- intercept=
Equation=
Slope:
The slope is found with m = (y2 - y1) / (x2 - x1).
You can use any two points, so I'd pick ones with positive x and y values.
Using (1,5) and (3,3):
m = (3 - 5) / (3 - 1) = (-2)/(2) = -1
The slope is -1.
To find the y-intercept, we can go to the point (-1,7) and use the slope of -1. A slope of -1 means that if x goes up by 1, then then y goes down by 1. So if we go from x=-1 to x=0, then the y-value of 7 will go down by 1.
y-intercept (0,6)
The equation in slope-intercept form is y = -x + 6, since we already found the slope and y-intercept.
At school, 40% of the sixth grade students said that hip hop was their favorite kind of music. If 100 sixth grade students prefer hip hop music how many sixth graders are at the school
If 100 sixth grade students prefer hip hop music, the number of sixth graders at the school is 250.
How many sixth graders are at the school?Percentage is a measure of frequency that is used to express a number as as a fraction of 100. In order to change a value to percentage, multiply the number by 100. The sign that represents percentage is %.
In order to determine the number of sixth graders, divide the number of sixth graders that prefer hip hop music by the percentage.
Number of sixth graders = number that prefer hip hop / percentage
100 / 40%
100 / 0.4 = 250
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find an equation for the perpendicular bisector of the line segment whose endpoints are (9,-5) and (-5,-1)
The equation y = (13 / 4) · x - 19 / 2 represents the perpendicular bisector of the line segment.
How to find the equation for the perpendicular bisector of a line segmentIn this problem we need to determine the equation of the line perpendicular to a line segment whose endpoints are known. The equation of the line is represented by a first grade polynomial of the form:
y = m · x + b
Where:
m - Slopeb - Interceptx - Independent variable.y - Dependent variable.And the relationship between the slopes of two perpendicular lines:
m · m' = - 1
Where:
m - Slope of the original line.m' - Slope of the perpendicular line.And the slope of the original line can be found by the secant line formula:
m = Δy / Δx
And the midpoint of a line segment between two endpoints is defined below, necessary for the location of the bisector:
M(x, y) = 0.5 · A(x, y) + B(x, y)
Where:
M(x, y) - MidpointA(x, y), B(x, y) - EndpointsFirst, find the slope of the line segment by secant line formula:
m = [- 1 - (- 5)] / (- 5 - 9)
m = - 4 / 13
Second, find the slope of the perpendicular bisector by the slope relationship between two perpendicular lines:
m' = - 1 / m
m' = - 1 / (- 4 / 13)
m' = 13 / 4
Third, determine the midpoint of the line segment by the midpoint formula:
M(x, y) = 0.5 · (9, - 5) + 0.5 · (- 5, - 1)
M(x, y) = (4.5, - 2.5) + (- 2.5, - 0.5)
M(x, y) = (2, - 3)
Fourth, find the intercept of the perpendicular bisector by means of the equation of the line:
b = y - m' · x
b = - 3 - (13 / 4) · 2
b = - 3 - 26 / 4
b = - 3 - 13 / 2
b = - 19 / 2
The equation for the perpendicular bisector is y = (13 / 4) · x - 19 / 2.
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a box contains 22 red apples and 3 green apples. three apples are selected at random, one after the other, without replacement. (a) the first two apples are green. what is the probability that the third apple is red? (b) what is the probability that exactly two of the three apples are red?
(a) Probability that third apple is red from three selected apple one after one is 22/23.
(b) Probability that exactly two of the three apples are red is 0.3012
In the question we have,
total number of apples in a box = 25
number of red apples in a box = 22
number of green apples in a box = 3
Now, three apples are selected at random,one after other without replacement and first two apples are green .
(a) Then number of apples remained in a box after two green apples withdraw = 23
probability that third apple is red = 22/23
(b) The following are possible number of sample spaces for exactly two of the three apples are red
RGRRRGGRRwhere , R--> red apple and G--> green apple
For first sample space , RGR i.e first and last apples are red
probability that first and last apples are red from three withdraw apples or P(RGR) = 22/25× 3/24× 21/23 = 0.1004
similarly, P(RRG) = 22/25×21/24×3/23 = 0.1004
P(GRR) = 3/25×22/24×21/23 = 0.1004..
Probability that exactly two apples are red = P(RRG)+ P(RGR)+ P(GRR) = 3(0.1004) = 0.3012
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Write the following equations in slope intercept form
1. 4x - 3y = 2
2. 3x + 2y = -3
1.
The slope intercept form is y=mx+b
4x-3y=2
subtract 4x from both sides
3y=2+(-4x)
Divide by 3
y=2/3+(-4x/3)
simplify:
y=2/3-4x/3
reorder:
y=-4/3x+2/3
slope= -4/3, y intercept= 2/3
2.
In the same way,
3x+2y=-3
2y=-3-3x
y=-3/2 - 3x/2
y+3/2=-3x/2
y=-3x/2-3/2
y=-3/2x-3/2
slope=-3/2, y intercept= -3/2
I hope this helped you.
[tex]\sqrt{|x|^2} =x[/tex]
Answer?
The solution to the equation given as √|x|² = x is x ≥ 0
How to solve the equation?From the question, the representation of the equation is given as
√|x|² = x
To start with;
We evaluate the square root expression in the equation
So, we have the following representation
|x| = x
The above implies that the absolute value of a number equals the number
As a general rule of absolute values, the absolute value of a number is positive
This can be represented as
x ≥ 0
Hence, the solution to the equation is x ≥ 0
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Find the total amount given the original price, tax rate, and tip rate.
Original price: $90.34
Tax rate: 3.5%
Tip: 20%
Answer: 5468.9
Step-by-step explanation:
Answer:
I think its $90.75
Hopefully its right :)
initially, a $65$-foot ladder rests against a vertical wall such that the top of the ladder is $60$ feet from the ground. then, naoki moves the base of the ladder farther out from the wall so that the top of the ladder slides down until resting against the wall at a point $52$ feet above the ground. given that the wall is perpendicular to the ground, how many feet did naoki move the base of the ladder?
Naoki shifted the base of ladder by 14 feet as the updated distance is 39 feet and old distance was 25 feet.
What is trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six common trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and abbreviations (csc). Finding the elements of vectors, modeling the mechanics of waves (both electromagnetic and physical), summarizing the strength of fields, and using dot and cross products are all physics applications of trigonometry. You can use trigonometry quite a bit in projectile motion.
Here,
The length of ladder= 65 foot
It rest at a wall at height of 60 foot.
So distance of foot of ladder from wall,
=√(65²-60²)
=√625
=25 foot
Now, as the ladder is shifted, it rest on the wall at height of 52 foot.
=√(65²-52²)
=√1521
=39 foot
Shift in the base of ladder,
=39-25
=14 foot
As the updated distance is 39 feet and the previous distance was 25 feet, Naoki moved the base of the ladder up by 14 feet.
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I need help. How is this possible ?This is an exterior angle
Answer:
x = 36
The measure of the exterior angle is 114°
The remote interior angles are 24° and 90°.
Step-by-step explanation:
The angle marked 3x + 6 is the exterior angle. The other two marked angles are called "remote interior angles"
The two remote interior angles added together equals the exterior angle.
3x+6 = 24° + 2x + 18
Combine like terms.
3x + 6 = 2x + 42
Subtract 2x from both sides.
x + 6 = 42
Subtract 6 from both sides.
x = 36
If required, use the x=36 to find the measure of the exterior angle.
3(36) + 6
= 108 + 6
= 114°
Or find the measures of the remote interior angles.
2(36) + 18
= 72 + 18
= 90°
The remote interior angles are 24° and 90°.
Write an inequality statement that represents "two and 5 tenths minus 2 times the quantity of the
difference of negative 3 and one half and two times a number is at least ten and three quarters".
Answer:
2.5 - 2(-3-0.5) + 2(n) > 10.75
Step-by-step explanation:
Step 1: two and 5 tenths is 2.5
Step 2: 2 times the quantity of the difference of negative three and one half is 2(-3-1/2)
Step 3: two times a number is at least ten and three quarters = 2(n) > 10.75
Combine: 2.5 - 2(-3-0.5) + 2(n) > 10.75
please help. To convert to degrees Fahrenheit, use the formula F=95C+32, where C is the degrees in Celsius. Which is the first step to solve for Celsius if the temperature is 70 °F?
Which function represents the i shown in the graph below
A. G(x)=-x+2
B. G(x)=2^x-1
C. G(x)=(x+2)^2
D. -2x
the correct answer is A
Always concentrate on point where X or G(X) equals Zero.
For example, here point (0,2), G(X)=2 when X=Zero.
If u tried to Replace X and G(X) in the equations below with these numbers, you would figure out the right answer so easily. Have a nice day!
why is it important to create a budget even if you don’t get a lot of money or if you have an irregular income?
Answer:
it is important because this will be helpful for your incomes, tax, bills etc. This also will plan for other things that you might pay like savings.
Step-by-step explanation:
Can someone pls help me it’s do in 10 mins
The value of x is 22.5528.
Let ABC be the triangle , <A = 70, <B = 30 ,<C = 80.
Sum of angles in a triangle is 180.
70 + 30 + <C = 180
<C = 180 - 100
<C = 80.
Let sides be a = x , b = 12 and c = ?
According to sines law,
a/sin A = b/sin B = c/sin C
substitute a ,b,A,B values
a/sin A = b/sin B
x/sin 70 = 12/sin 30
x = 0.9397*12/1/2
= 11.2764*2/1
x = 22.5528.
Therefore the value of x is 22.5528.
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after sampling a column of water from the surface to a depth of 3000 meters (nearly 10,000 feet), a colleague abroad an oceanographic research vessel tells you that the water column is isopycnal. what does this mean? what conditions create such a situation? what would have to happen in order to create a pycnocline?
Salinity and density decrease as temperature rises. Salinity and density, therefore, have a negative relationship with temperature. The density rises as salinity rises. As the temperature drops, ocean water becomes denser. Therefore, water becomes denser as it becomes colder. The density of seawater also rises as salinity does.
Water that is less dense floats above water that is denser. The warmer water will float on top of the colder water if there are two layers of water with the same salinity. However, there is a catch! Salinity has less of an impact on water density than temperature does. Therefore, if the layer with higher salinity is considerably warmer than the layer with lower salinity, the layer with higher salinity can actually float on top of the layer with lower salinity.
As you descend to the ocean's bottom, the temperature of the water continues to drop. So, as you descend to the ocean's bottom, the density of the water keeps rising. The deep ocean is divided into layers, with the lightest water at the top and the densest water at the bottom. The ocean's depths have horizontal circulation. In other words, water flows in strata of equal density.
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What fraction is equivalent to the decimal and percent below? Enter your
answer in simplest form, using the slash (/) as the fraction bar.
Fraction Decimal Percent
?
0.33
33.3%
Answer:
Step-by-step explanation:
1 / 3
Reason being: 100 / 3 = 33.333333333
Which of the following numbers could be the probability of an event?
1, -0.5, 0.29, 0.06, 1.18, 0
Question: The numbers that could be a probability of an event are_
(Use a comma to separate answers as needed.)
The probability of an event is 0.29,0.06. An event's probability is always between 0 and 1.
Explain about the probability?
When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood that something will occur by the likelihood that it won't.
-0.5 cant be a probability because it is less than 0
0.29 can be a probability because it is more than zero.
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The numbers that could be a probability of an event are 0.29 and 0.06
What is a probability?An event's probability is always between 0 and 1. (inclusive).
This implies:
There can be just one.
It must be zero or less.
Evaluation of Option (a) - 0.5
This cannot represent probability (b) 0.29 because it is less than 1,
This can be used to represent probability (c) 0.06 since it lies between 0 and 1.
This can be used to indicate probability (d) 1.18 since it is less than 1.
Given that this is larger than 1, it cannot be a probability (e) 0
A probability is not zero.
This ranges from 0 to 1, so it can be used to express probability.
Therefore, 0.29 and 0.06 can be used to indicate probabilities.
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Find the sum of the measures of the interior angles of each convex polygon.
Answer:
Step-by-step explanation:
interior angles of polygons:
180(n-2)
1. =180(11-2)
=180(9)
=1620
2. 180(17-2)
=180(15)
=2700
write the missing number = 1/2 of 18
please help me !!!!
Answer:
a) 9b) 18Step-by-step explanation:
a) 1/2 of 18 = ?
→ 1/2 of 18
→ (1/2) × 18
→ 18/2 = 9
So, answer is 9.
b) 2/3 of 27 = ?
→ 2/3 of 27
→ (2/3) × 27
→ 54/3 = 18
So, answer is 18.
PLS HELP I DONT UNDERSTAND THIS-
Which types of classification does e fall under? Select all the different classifications.
A) Natural numbers
B) Whole numbers
C) Integers
D) Rational numbers
E) Irrational numbers
F) Real numbers