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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A polygon has 7 sides. The interior angle measures are 131°, 119°, 125°, 133°, 125°, 138°, and x°. Find the value of x.
HELPPPP PLEASEEE ASAPP
PLSSS I NEED HELP
Which of the following is the graph ofY= -3/5x+2
Answer:
It would be the last graph (c). It would look like the image below.
Explanation:
Since 3 is negative the answer would have a graph with a line going like this \.
you have 600 ft of fencing to make a pen for hogs. if you have a river on one side of your property, what are the dimensions (in ft) of the rectangular pen that maximize the area?
The dimensions that maximize the area are 150ft × 300ft.
What do we mean by dimensions?A topological measurement of an object's dimension is the extent of its covering qualities. It is, essentially, the number of coordinates required to specify a location on the object. A cube is three-dimensional, whereas a rectangle is two-dimensional.So, let y be the length of the side parallel to the river and x be the length of each of the two sides perpendicular to it.
The following provides the total fencing length:
2x + y = 600y = 600 - 2xThe rectangular pen's surface area is:
A = xyA = x(600 - 2x)A = 600x - 2x²We may determine the value of x required to maximize the area by determining the value of x for which the derivative of the area function is zero:
dA(x)/dx = d(600x - 2x²)/dx0 = 600 - 4xx = 150The value of y is: for x=150
y = 600 - 2x = 600 - (2 × 150)y = 300Therefore, the dimensions that maximize the area are 150ft × 300ft.
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decide whether inductive reasoning or deductive reasoning is used to reach the conclusion: "what goes up must come down. the ball went up. it will come down."
The statement ""what goes up must come down. the ball went up. it will come down." can be reached through a deductive reasoning.
What is a deductive reasoning?The mental process of forming deductive deductions is known as deductive reasoning. An inference is deductively valid if its conclusion follows logically from its premises, i.e. if the premises cannot be true while the conclusion is false.
The primary distinction between inductive and deductive thinking is that inductive reasoning seeks to develop a hypothesis, whereas deductive reasoning seeks to test an existing theory. Inductive thinking proceeds from individual observations to broad generalizations, whereas deductive reasoning proceeds in the other direction.
In conclusion, the correct option based on the information is a deductive reasoning.
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The length of the base of an isosceles triangle is x. The length of a leg is 4x-3. The perimeter of the triangle is 129 Find x.
The value of x in the given isosceles triangle is x = 15
Perimeter of an isosceles triangle: Calculating the value of xFrom the question, we are to determine the value of x.
From the given information,
The length of the base of the isosceles triangle is x
Also,
The length of a leg is 4x - 3
Since, the length of the legs of an isosceles triangle are equal,
Then,
The length of the other leg is 4x - 3
Also, form the given information,
The perimeter of the triangle is 129
Thus,
x + 4x - 3 + 4x - 3 = 129
Now, solve for x
x + 4x - 3 + 4x - 3 = 129
Collect like terms
x + 4x + 4x = 129 + 3 + 3
9x = 135
Divide both sides by 9
9x/9 = 135/9
x = 15
Hence, the value of x is 15
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if the slope of a line 4/9 the slope of a line perpendicular to this would be
Answer:Use the slope-intercept form to find the slope.
m=4
The equation of a perpendicular line to
y
=
4
x
−
9
must have a slope that is the negative reciprocal of the original slope.
m
perpendicular
=
-1/4
Step-by-step explanation:
hii lily how are u
A city planner wants to build a road perpendicular to d street. What should be the slope of the new road?.
If a line's angle with the x-axis is then, that line's slope will be tanα, and the new road's slope will be tan(0) = 0.
D Street is depicted as a vertical line with a 90° angle of inclination in the accompanying figure. In other words, D Street has an infinite slope.
The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.
A horizontal line now has zero slopes.
The new road has a zero slope as a result.
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The fraction is equivalent to which of the following decimal numbers?
0.2
0.1616
0.166
0.1 6
The fraction of 1/6 is equivalent to this following decimal number:
0.166.
How to convert a fraction to a decimal number?A fraction is represented by the division of a term x by a term y, as follows:
Fraction = x/y.
The terms that represent x and y are given as follows:
x, which is the top term of the fraction, is called the numerator.y, which is the bottom term of the fraction, is called the denominator.In this problem, the fraction is given as follows:
1/6.
1 is less than 6, hence the equivalent decimal can be obtained as follows:
0.10/6.
10 divided by 6 is one with a remainder by 4, hence 1.4/6 = 1.6667.
Thus the equivalent decimal representing the fraction 1/6 is given as follows:
1/6 = 0.1666.
Missing informationThe problem asks for which decimal number the fraction 1/6 is equivalent.
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help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!
Answer:
2. 25
max = 88 feet
See the attachment photo!
you can read 45 pages of your new book in 2 hours. how many page can you read 3 hours
Answer:
67.5 (rounded down to 67, usually)
45/2 is 22.5 so that is for one hour
22.5 x 3 = 67.5
Answer:
add me on brainliest please
Step-by-step explanation:
65 is the answer
an srs of 29 students at uh gave an average height of 5.5 feet and a standard deviation of .3 feet. construct a 90% confidence interval for the mean height of students at uh. a) [4.250, 6.950] b) [5.405, 5.595] c) [4.990, 6.010] d) [4.000, 7.300] e) [5.482, 5.518] f) none of the above
Write the converse, inverse, and contrapositive of the following conditional statement.
"If I eat too much candy, I will get sick."
Converse: If I get sick, I ate too much candy.
Inverse: If I don't eat too much candy, then I will not get sick
Contrapositive: If I do not get sick, I did not eat too much candy.
What is the conditional statement?
'If p, then q's statements are examples of conditional statements. In this case, "p" stands for "hypothesis" and "q" for "conclusion."
A converse statement is one that is produced by flipping a conditional statement's hypothesis and conclusion.
So, Converse: If I get sick, I ate too much candy.
An inverse assertion presupposes that each of the original claims is true.
So, Inverse: If I don't eat too much candy, then I will not get sick.
When you reverse the hypothesis and the conclusion in a statement, you have a contrapositive statement that refutes both propositions.
So, Contrapositive: If I do not get sick, I did not eat too much candy.
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Latisha wants to buy pumpkins and autumn squash for a fall display. She has a budget of no more than $117 but wants to buy more than 10 vegetables for the decorations. The pumpkins are $5.50 each and the autumn squash are $3.50 each. Let p represent pumpkins and s represent squash. Which system of linear inequalities represents this scenario?
A system of linear inequalities that represents this scenario is given by:
p + s ≥ 10
5.50p + 3.50s ≤ 117
What is an inequality?An inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:
Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Less than (<).In order to write a system of linear inequalities to represent the scenario, we would assign variables to the cost of the beginner class and advanced class, and then translate the word problem into algebraic equation as follows:
Let the variable p represent the number of pumpkins.Let the variable s represent the number of squash.Since Latisha cannot buy more than (≥) 10 vegetables, the inequality to represent this is as follows:
p + s ≥ 10
Since Latisha's budget cannot exceed (≤) $117, the inequality to represent this is as follows:
5.50p + 3.50s ≤ 117
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you have 100 feet of fence to make a rectangular play area alongside the wall of your house. the wall of the house bounds one side. what is the largest possible area (in square feet)?
The length and width of the rectangle are 50 feet and 25 feet respectively, the product of which gives the area of the rectangle which is 1250 feet.
Given, 100 feet of fence to make a rectangular play area that is side by side with the wall of your house.
The perimeter of the rectangle is = 2x+2y, since the wall bounds from one side as given in the question perimeter changes to = x+2y.
Perimeter = x+2y
100 = x+2y
100 = 50+2y
2y = 50
y = 25
Using this we found the length and width of the rectangle which is equal to 50 feet and 25 feet respectively. The area which is the final answer comes out to be 1250 feet.
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Aidan walks 4 miles in 1 hour. At this rate, how many miles can he walk in 3.5
hours?
Answer:
14
Step-by-step explanation:
[tex]\frac{4 \text{ miles}}{1 \text{ hour}} \times 3.5 \text{ hours}=14 \text{ miles}[/tex]
The function h is defined by h (x) = 2(x − 7).
What is the value of h (8) ?
2
23
30
9
Answer:
h(8) = 2
Step-by-step explanation:
substitute x = 8 into h(x) , that is
h(8) = 2(8 - 7) = 2(1) = 2
Two lines. C and D. are represented by the equations given below:
Line C. y = x + 12
Line D. y = 3X + 2
Which of the following shows the solution to the system of equations and explains why?
The correct result would be (x, y) = (5, 17); because both lines pass through this point.
Given,
In the question:
Two lines. C and D are represented by the equations.
We have :
Line C. y = x + 12
Line D. y = 3X + 2
Now, According to the question:
y = x + 12
y = 3X + 2
Substitute into one of the equations
x + 12 = 3x + 2
Solve the equation:
Combine like terms:
x - 3x = 2 - 12
-2x = -10
x = -10/-2
x = 5
Put the value of x in equation of Line C
y = x + 12
y = 5 + 12
y = 17
Hence, The correct result would be (x, y) = (5, 17); because both lines pass through this point.
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4. Which of the following statements is true?
A. -8> -7
B.9<3
C.0> -3
D. 0> 4
Answer:
C
Step-by-step explanation:
If you look at a number line, you can see that numbers with greater values are to the right of numbers with smaller values.
-8 is to the left of -7 on a number line so it is not greater
9 is to the right of 3 on a number line so it is not smaller
0 is to the right of -3 on a number line so it is greater
And lastly, 0 is to the left of 4 on a number line so it is not greater
Baby lisa automatically turns her head in the direction of a touch on the cheek. This is the _____ reflex.
Turning of head is rooting reflex.
Reflex is defined as the action which is performed without thought. In other words, it is an unconscious behaviour or involuntary movement. Newborns have different reflexes such as rooting reflex, moro reflex, stepping reflex, tonic neck reflex and grasp reflex.
Rooting reflex acts on touch. Based on this, babies feed themself. They start sucking when the roof of their mouth is touched. Moro reflex occurs on sudden sound or movement of high intensity. Tonic neck reflex results in fencing position of baby. Grasp reflex is seen when baby closes their fingers and stepping reflex concerns legs.
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What is the chance of getting a heart in a deck of cards and a six on a dice both at the same time?
I need this really fast pls
Assuming it is a standard deck of 52 cards and a standard dice of 6 faces.
There are 13 heart cards in a standard deck, therefore the odd of getting a heart is 13 : 52 = 1/4.
There is only 1 six in a standard dice, therefore the odd of getting a six is 1/6.
For these events to happen simultaneously, we multiply the chances.
Therefore, the chance of getting a heart in a deck of cards and a six on a dice is 1/4 x 1/6 = 1/24.
Answer:
heart from a deck of cards= 13/52 = 1/4
getting a six on a dice= 1/6 = 1/6
Step-by-step explanation:
heart from a deck of cards :
In the context of ordinary maths questions the answer is so obvious as to almost not be worth mentioning. There are 52 cards in an ordinary deck and 13 of them have heart pips, so 13/52 = 1/4.
six from a dice :
There is a 1/6 chance of rolling a 6. There are only 6 sides on a die, and only 1 of them is 6, so there is a 1/6 chance of rolling a 6.
at the same time is:
13/15 + 1/6 = 31/30 = 1/30
A pharmacist wants to mix a 40 % saline solution with a 12% saline solution to get 119 ml. of a 32% saline solution. How much of each solution should she use?
Round your answer to the nearest ml
A pharmacist wants to mixture of 40 % saline solution with a 12% saline solution to get 119 ml. of a 32% saline solution. He used 85 ml of 40% saline solution and 34 ml of 12% saline solution.
Define mixture.Mixture word problems require you to combine two or more separate items, and then calculate some quantity of the resulting mixture (such as a percentage, price, or number of liters, for example). There will always be some type of "rate," like miles per hour or price per pound. Mixtures are substances that contain two or more distinct substance categories. To separate them, utilize physical tools. Examples include air, different gases, a mixture of sugar and water, a solution of salt and water, and so on.
Given,
A pharmacist wants to mixture of 40 % saline solution with a 12% saline solution to get 119 ml. of a 32% saline solution.
Equation:
X + y = 119
y = 119 - x
0.40x + 0.12y = 119 of 0.32
0.40x + 0.12y = 38.08
Using y = 119 -x
0.40x + 0.12(119 - x) = 38.08
0.40x + 14.28 - 0.12x = 3808 Eq(2)
0.28x = 23.8
x = 85
y = 119 - 85
y = 119 - 85
y = 34
Equating values in equation (2),
0.40(85) + 0.12(34)
34 + 4.08
38.08
A pharmacist wants to mix a 40 % saline solution with a 12% saline solution to get 119 ml. of a 32% saline solution. He used 85 ml of 40% saline solution and 34 ml of 12% saline solution.
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Which equation represents a line which is perpendicular to the line y=-4x-5?
A.x+4y=−32
B.4x+y=3
C.4x−y=−4
D.4y−x=4
Write an equation that has a variable on both sides and x = -11
as a solution.
The equation that has x = -11 as the solution is given by -
y = x + 11
Write the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the following equation that has a variable on both sides and x = -11 as a solution.
An equation of a straight line can be used to depict the problem given. We can write the equation as -
y = x + 11
Therefore, the equation that has x = -11 as the solution is given by -
y = x + 11
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Fill the empty slots by dragging tiles from the left to show the
next step for solving the equation.
Use the information in the problem to write an equation.
Then use the equation machine to help you solve it.
8 years ago Marcus was 12 years old. How old is he
now?
8
y
8
12
12
Marcus is
years old
Show result
The age of Marcus now is 20 years as 8 years ago Marcus was 12 years old.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical sentence with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10. A mathematical equation that depicts the connection between two expressions on opposite sides of the sign. It generally consists of one variable and one equal to symbol. 2x - 4 = 2 is an example. x is a variable in the preceding example.
Let his age now be x.
x-8=12
x=20
Marcus is currently 20 years old, although he was 12 years old eight years ago.
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8 + (-3) +15 - (-40)
The length of a rectangle is the sum of the width and 1. the area of the rectangle is 30 units. what is the width,in units, of the rectangle
The width is 5 units.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
length = width + 1
let the width be x
length= x+ 1
So, area of rectangle= l x w
30 = x( x+ 1)
x² + x - 30=0
x² + 6x - 5x - 30=0
x( x+ 6) - 5(x +6)= 0
(x+ 6)( x- 5)= 0
x= -6 or 5
Hence, the width is 5 units.
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for an ordered pair (x comma y )in a relation, the x element represents the .
for an ordered pair (x comma y )in a relation, the x element represents the horizontal axis.
Solve the following
2( x + 3 ) = x - 4
2x + 6 = x - 4
x ≈ -0,67
or
x = -2^3
Solve the following system of linear equations ( Step-by-step)(Tell me, what is x,y,z):
2x - 3y + 6z = -12
5x + 2y - 8z = 29
7x + 6y + 4z = 49
The solution to the linear system of equation is x = 3, y = 5, and z = -0.5
What is a linear system of equation?A system of linear equations is a set of linear equations that involve the same variable and which work or are operated (simultaneously) together
The system of linear equation is presented as follows;
2·x - 3·y + 6·z = -12...(1)
5·x + 2·y - 8·z = 29...(2)
7·x + 6·y + 4·z = 49...(3)
Multiplying equation (1) by 5 and equation (2) by 2, we get;
5 × Equation (1) ⇒ 10·x - 15·y + 30·z = -60...(4)
2 × Equation (2) ⇒ 10·x + 4·y - 16·z = 58...(5)
Subtract equation (4) from equation (5), to get;
10·x - 10·x + 4·y - (-15·y) - 16·y - 30·z = 58 - (-60) = 118
19·y - 46·z = 118...(6)
Multiplying equation (1) by 7 and equation (3) by 2, we get;
7 × Equation (1) ⇒ 14·x - 21·y + 42·z = -84...(7)
2 × Equation (3) ⇒ 14·x + 12·y + 8·z = 98...(8)
Subtracting equation (7) from equation (8), we get;
14·x - 14·x + 12·y - (-21·y) + 8·z - 42·z = 98 - (-84) = 182
33·y - 34·z = 182...(9)
Multiplying equation (6) by 33 and equation (9) by 19, we get;
627·y - 1,518·z = 3,894...(10)
627·y - 646·z = 3,458...(11)
Subtracting equation (10) from equation (11), we get;
627·y - 627·y -646·z - (-1,518·z) = 3,458 - 3,894 = -436
872·z = -436
z = -436 ÷ 872 = -0.5
z = -0.5
From equation (6), we have;
19·y - 46·z = 118
19·y - 46 × (-0.5) = 118
19·y - 46 × (-0.5) = 118
19·y = 118 + 46 × (-0.5) = 95
y = 95 ÷ 19 = 5
y = 5
From equation (1), we get;
2·x - 3·y + 6·z = -12
2·x - 3 × 5 + 6 × (-0.5) = -12
2·x = -12 + 3 × 5 - 6 × (-0.5) = 6
x = 6 ÷ 2 = 3
x = 3
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a statistical quality control process for cereal production measures the weight of a cereal box. the population standard deviation is known to be .06 ounces. in order to achieve a 97% confidence with a margin of error of .02 ounces, how large a sample should be used?
The sample size that should be used is 43.
Given that;
The weight of a cereal box is measured as part of a statistical quality control process for the manufacture of cereal. It is understood that the population standard deviation is 0.06 ounces. To attain a margin of error of and a confidence level of 97% 0.02 ounces.
By considering the confidence level scenario, we get to solve how large a sample should be utilized.
The significance level is (α) = 0.03 ( 97% confidence level )
The critical value is (z*) = 2.17 ( From z-table )
The population standard deviation (σ) = 0.06
The margin of error (E) = 0.02
Therefore, the required sample size is;
n = [(z* × σ)/E ]²
n = 42.383
n ≅ 43
Finally, the sample size that should be used is 43.
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