Duncan's height is the closest to the mean for the given normal distribution.
What is termed as the normal distribution?The normal distribution, also recognized as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.The probability density function for just a continuous random variable in such a system defines the Normal Distribution. Assume that f(x) is the probability density function as well as X is a random variable.We learn from the question that
Given that 3-year-old boys' heights are roughly normally distributed, the mean will be the 50th.
Thus, comparing Duncan's height in the 32th percentile and Shane's height in the 62nd percentile with the mean height in the percentile 50.
i.e
50 - 32 = 18
and
62 - 50 = 12
Duncan's height is the closest to the mean.
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The complete question is -
The height of 3-year-old boys is approximately normally distributed. Duncan and Shane are 3 year old boys. Duncan is 32.0 inches tall and is in the 32nd percentile. Shane is 34.0 inches tall and is at the 62nd percentile. Which is the closest to the mean
Simplify the expression. Write the answer in scientific notation.
(5x10^-3) (7×10^-2)
(5x10^-3) (7x10^-2)=0
(Simplify your answer. Use scientific notation. Use the multiplication symbol in the math palette as needed.)
The result of the expression (5x[tex]10^{-3}[/tex]) (7×[tex]10^{-2}[/tex]) in scientific notation is 35×[tex]10^{-5}[/tex].
What is scientific notation?
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ [tex]10^{8}[/tex].
The expression in scientific notation is
(5x[tex]10^{-3}[/tex]) (7×[tex]10^{-2}[/tex]) = 5×7 × [tex]10^{-3-2}[/tex]
= 35 × [tex]10^{-5}[/tex]
Therefore, the result of the expression (5x[tex]10^{-3}[/tex]) (7×[tex]10^{-2}[/tex]) in scientific notation is 35×[tex]10^{-5}[/tex].
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You are a clerk at a local convenience store. You make $10.20/hour. They will only give you 20 hours a week. Calculate your gross pay.
Answer:
$204
Step-by-step explanation:
Salary per hour = $10.20
Therefore salary for 20 hours = 10.20 X 20
= $204
I hope you understood the answer and it has helped you!!!
Help fast please hurry
I beleive it would be D
Which expression is the completely factored form of y² + 2y - 15
O (y-5)(y+3)
O (y+5)(y+3)
○ (y+5)(y-3).
O(y-5)(y-3)
Answer:
(y+5)(y-3)
Step-by-step explanation:
..........
Answer:
y^2-3y+5y-15
y(y-3)+5(y-3)
(y-3) (y+5)
A 30cm 40cm page of a book includes a 2cm margin on each side, as shown. What percentage of the page is occupied by the margins
If a (30cm by 40cm) page of a book includes a 2cm margin on each side, then the margins occupy 11.67 percentage of the total surface area of one side of the pages.
As per the question statement, a (30cm by 40cm) page of a book includes a 2cm margin on each side.
We are required to calculate the percentage of the total surface area of one side of the pages, occupied by the margins.
To solve this question, first we will need to calculate the total surface area of one side of the pages, and also the surface area occupied by the margins on one side, and then simply, calculate the percentage amount between the two area values.
Since the dimensions of the pages of the book are (30cm by 40cm), therefore, area of one side of each page = (30 * 40) sq. cm.
= 1200 sq. cm.
And, area occupied by the margins on each side of the page
= [(2 * 30) + (2 * 40)] sq. cm.
= (60 + 80) sq. cm.
= 140 sq. cm.
Therefore, percentage of the total surface area of one side of the pages, occupied by the margins = [(140/1200) * 100] = 11.67%
Percentage: In mathematics, a Percentage is a number or a ratio, expressed as a fraction of 100 and often denoted using the percent sign, "%".To learn more about Percentage, click on the link below.
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Stat 0,-10 and -6,-8
The midpoint of the given coordinates of points (0,-10) and (-6,-8) is ( -3,-9 )
How determine the midpoint between two point?A midpoint is simply a point that divides a line segment into two equal halves.
The midpoint formula is expressed as;
M = ( (x₁+x₂)/2, (y₁+y₂)/2 )
Given the data in the question;
Point 1( 0,-10 )
x₁ = 0y₁ = -10Point 2( -6,-8 )
x₂ = -6y₂ = -8Midpoint = ?
To determine the midpoint, plug the given points into the midpoint formula above and simplify.
M = ( (x₁+x₂)/2, (y₁+y₂)/2 )
M = ( ( 0 + (-6) )/2, ( (-10) + (-8) )/2 )
M = ( ( 0 - 6) )/2, ( -10 - 8 )/2 )
M = ( ( -6 )/2, (-18 )/2 )
Midpoint M = ( -3,-9 )
Therefore, the midpoint of the coordinates is ( -3,-9 ).
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HURRY
What is the distance between the points(−5, −9) and (−5, 13)?
Responses
4 units
11 units
16 units
22 units
Answer:
22
Step-by-step explanation:
The x-coordinates are the same, so we can find the positive difference between the y-coordinates, which is 22.
the answer is D) 22.
identify the independent variable and the dependent variable. a cabinet shop wants to determine the effect of adhesive brands on the bonding of veneer to cabinets. the independent variable is . the dependent variable is
The dependent variable is "Bonding of veneer to cabinets" and the independent variable is "a cabinet shop".
What is a Dependent variable?In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables due to some law or rule. A test score, for instance, could be a dependent variable because it could vary based on a number of variables, including how much you studied, how much sleep you got the night before the test, and even how hungry you were.So, in the given sentence, the dependent variable is "Bonding of veneer to cabinets" and the independent variable is "a cabinet shop".
Therefore, the dependent variable is "Bonding of veneer to cabinets" and the independent variable is "a cabinet shop".
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When traveling at top speed, a roller coaster train with a mass of 12,000 kg has a velocity of 30 m/s. The kinetic energy of the train at top speed is
9 + 3x = 2x + 4y
What's x and what's y? I'll give the Brainly thingy for a right answer, Scout's honor
I'm not a scout but ykwim
Answer:
There are probably multiple answers to this question, but the answer I got was x = 7, and y = 4.
Step-by-step explanation:
First Equation: 9 + 3x. (Below)
3 x 7 = 21
21 + 9 = 30
Second equation: 2x + 4y.
2 x 7 = 14
4x4 = 16
16 + 14 = 30.
———————
Since they both have the same solution it leads me to believe it’s the answer,
The equation y=0.74x+64 gives the cost y of renting a car if the car is driven x miles. Based on this equation, for every mile the car is driven the cost of increases by how much?
For every mile the car is driven the cost increases by $ 0.74 or 74 cents.
It is given in the question that the equation y = 0.74x + 64 gives the cost y of renting a car if the car is driven x miles.
It is a linear equation in 2 variable.
We have to find, for every mile the car is driven the cost increases by how much.
As we can observe from the equation, 64 is the fixed cost of renting a car, $ 0.74 is the cost of driving per mile.
Hence, for every mile the car is driven the cost increases by $ 0.74 or 74 cents.
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very much so impossible math that i need help wit
For triangle UTV reflection across y = 1 would be,
U' = (0, 2)
T' = (-3, 3)
V' = (-1, 5)
And for triangle HIJ the reflection across y = -2 would be,
H' = (-5, 1)
I' = (-3, -3)
J' = (-2, -1)
1)
In this question, we have been given a triangle UTV.
We need to find the the coordinates of the triangle if it is reflected across the line y = 1
Coordinates of UTV are:
U = (1, 2)
T = (-3, -1)
V = (-1, -3)
If we take the reflection across line y = 1 then,
U(1, 2) --> U'(0, 2)
T(-3, -1) --> T'(-3, 3)
V(-1,-3) --> V'(-1, 5)
2)
In this question, we have been given a triangle HIJ.
We need to find the the coordinates of the triangle if it is reflected across the line y = -2
Coordinates of HIJ are:
H = (-5, -5)
I = (-3, -1)
J = (-2, -3)
If we take the reflection across line y = -2 then
H(-5, -5) --> H'(-5, 1)
I(-3, -1) --> I'(-3, -3)
J(-2, -3) --> J'(-2, -1)
Therefore, for triangle UTV reflection across y = 1 would be,
U' = (0, 2)
T' = (-3, 3)
V' = (-1, 5)
And for triangle HIJ the reflection across y = -2 would be,
H' = (-5, 1)
I' = (-3, -3)
J' = (-2, -1)
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Find the value of x.
Answer:
2.28 or 2.2
Step-by-step explanation:
46 angle and 18x+5 angle make a z formation and the interior is always the same
46 -5 =41
41/18 =2.2777
round it off and you get 2.2
you can always verify it by putting it in the place of x
Line r is shown in the xy-plane. Line q (not shown) is perpendicular to line r. What is the slope of line q?
The Slope of the line q equals 3.
Given the slope of line r is -
slope = perpendicular / base
Finding the equation of line using coordinates (2,3) and (-1,4)
putting the values in the equation,
y2 - y1 / x2 - x1
⇒ 4-3 / -1 -2
⇒ 1/-3
⇒ -1/3
Slope of the line r is -1/3
As line q is perpendicular to line r,
Using the property, 2 lines perpendicular to each other have slope = negative reciprocal of slope 1
the slope of line q becomes 3
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Select the algebraic expression for the verbal expression 7 divided by the product of 9 and x.
The algebraic expression for the verbal expression 7 divided by the product of 9 and x is 7/9x.
What are algebraic expressions?When addition, subtraction, multiplication, division, and other mathematical operations are performed on variables and constants, the result is a mathematical statement known as an algebraic expression. The variables in the algebraic expressions, which have numerous multiples, are used to depict a real-world event. Calculations are made easier by expressing a real-world situation as an expression.Given verbal expression is 7 divided by the product of 9 and x.
Hence, the required algebraic expression for given verbal expression is 7/9x.
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baby blender, a blender used to liquify food for babies, wants to gauge the response of customers to the newest version of its product. in order to do so, the marketing team at baby blender restricts the respondents to mothers with children under the age of one. this scenario exemplifies multiple choice quota sampling. descriptive research. simple random sampling. snowball sampling. causal research.
The likes and dislikes of the people is given the priority and the product is altered according to the taste of the consumers , in order to increase the sale of the product .
It refers to the method of sampling , where the data or information is collected from a certain specified group of people , is referred to as quota sampling .
The method is helpful for marketing the goods and services of the company .
The likes and dislikes of the people is given the priority and the product is altered according to the taste of the consumers , in order to increase the sale of the product .
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B. Between which two consecutive integers does the square root lie?
Answer:
The square root of what number?
One batch of mooncakes contains 1/4 tablespoons of kansui. How many tablespoons of kansui are
needed to make 1 3/5 batches of mooncakes?
From the division property, the required kansui is 5/32 tablespoon.
What is division?
One of the four fundamental arithmetic operations, or the process by which two or more numbers are added together to create a new number, is division. Multiplication, addition, and subtraction round out the list of operations.
Given that a batch of mooncake contains 1/4 tablespoon of kansui.
Given batch of mooncake is 1 3/5 = 8/5
Therefore,
[tex]\frac{\frac{1}{4}}{\frac{8}{5}}\\=\frac{1}{4} \times \frac{5}{8}\\=\frac{5}{32}[/tex]
Hence, the required kansui is 5/32 tablespoon.
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Janie is designing a flyer for her business. she needs twice the width of the flier to be within 4 inches of 20 inches. complete the sentence to identify the minimum and maximum width of the flier.
Using proportions, it is found that:
The minimum width of the flier is of 8 inches. The maximum width of the flier is of 12 inches.What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures using operations such as multiplication and division to find the unknown variables.
In the context of this problem, we have that:
Twice the width of the flier is of 2w.Measures within 4 inches of 20 inches are measures between 16 inches and 24 inches.Hence the minimum width of the flier is found as follows:
2w = 16
w = 16/2
w = 8 inches.
The maximum width of the flier is found as follows:
2w = 24
w = 24/2
w = 12 inches.
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What is the value of x?
(2x - 5)°
n
l
m 45°
Answer:
x = 70
Step-by-step explanation:
(2x - 5) and 45 are same- side interior angles and sum to 180° , that is
2x - 5 + 45 = 180
2x + 40 = 180 ( subtract 40 from both sides )
2x = 140 ( divide both sides by 2 )
x = 70
3 4 + 2 . 5 = (input whole numbers only)
Numerical answers expected
Answer:
37 is the correct answer
Simplify the expression:
3s + -9s - s + −4s + −s
Submit
Answer:
s=0
Step-by-step explanation:
1. Simplify the expression
[tex]3\mathrm{s}-9\mathrm{s}-1\mathrm{s}-4\mathrm{s}-1\mathrm{s}=0[/tex]
2. Simplify the arithmetic
[tex]-12\mathrm{s}=0[/tex]
Answer: I believe the answer is 3s + -13
Step-by-step explanation:
3s + -9s - s + -4s + -s
3s + -9 + -4
3s + -13
The length of a colorado brook trout is normally distribute. what is the probability that a brook trout's length exceeds the mean? (round your answer to 2 decimal places.) the likelihood of a value greater than the mean is .50 because the whole area under the curve is 1 and the mean is the midway point.
The probability that a brook trout's length exceeds the mean is 0.50.
How to find the probability in normal distribution?One of the benefits of normal distributions is that we can find probabilities without being given the parameters of the distribution. This is achieved provided that we know the number of standard deviations from the mean the value of the random variable that delimits the indicated interval is.
We are given;
Distribution of length of a Colorado brook trout; Normal Distribution
Now, we want to find the likelihood of a value greater than the mean is 0.50.
We also know that if it is seen that the shape of the data is almost like a bell shape, then the data will be considered to have a normal distribution.
Thus, by the property of a normal distribution, the probability is 0.50.
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The sales tax in your city is 4.4\%4.4%4, point, 4, percent, and an item costs \$3$3dollar sign, 3 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.
If the sales tax in your city is 4.4% and an item costs $3 before tax the amount of tax you would pay on that item is $0.132.
Sales taxSales tax is the tax amount that is charge on goods customers buys.
Using this formula to determine the sales tax
Sales tax = Sales tax percentage × Cost of item
Where:
Sales tax percentage = 4.4% or 0.044
Cost of item = $3
Let plug in the formula so as to find the sales tax
Sales tax = 0.044 × $3
Sales tax = $0.132
Therefore the sales tax amount is $0.132.
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Tom is in charge of the track and field games at his school. He was given two boxes of prizes. He has given out 7/5 boxes. He estimates he will give out another 4/5 box. Does he have enough? If he does not have enough, how much more does he need?
Answer:
he needs 0.2 more
Step-by-step explanation:
2-7/5=0.6 that means he still has 0.6 left of the boxes.
minus the 4/5= -0.2
so Tom needs 0.2 more to give out that amount.
Answer:
11/10
he needs one more
Step-by-step explanation:
On Gabriela’s first birthday, her parents gave her a $50 savings account. On every birthday after that her parents added to the account, increasing the amount they deposited by $25 each year. Complete the recursive definition for the sequence that represents this situation by finding the values for a1 and d.
We will see that the first term is $50, and the common difference is $25, then the recursive formula is:
aₙ = aₙ₋₁ + $25.
How to get the recursive formula?Here we will have something like an arithmetic sequence, such that the recursive sequence is something like:
aₙ = aₙ₋₁ + d
Where d is the common difference.
We know that the first value (the first amount that she has in her savings account) is $50, so we can write the first term as:
a₁ = $50
Now, each new year (the subindex "n" represents the number of the year) $25 are added to that savings account, then we will have:
a₂ = $50 + $25 = $75
a₃ = $50 + $25 + $25 = $100
And so on..
So the common difference is d = $25, then the recursive relation is:
aₙ = aₙ₋₁ + $25.
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1. Using the numbers 8, 6, 4, and 2, write an expression that equals 6.
Answer:
4+2=6
8-2=6
You can use any one of these
The function fis defined by the following rule.
f(x) = 5x-2
Complete the function table.
Description of a Function : Consider two nonempty sets, X and Y. A relation that links exactly one element from X to Y is known as a function from X into Y.
f(x) = 5x-2 ?
Solution:
f(x) = 5x-2
5x-2 = 0
5x = 2
x = 0.4
f(0.4) = 5(0.4)-2
= 0
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3/5x + 1/4y=-1/2 slope intercept form
Answer: [tex]y= \frac{-12}{5}x -2[/tex]
Step-by-step explanation:
1) Move x to the right.
1/4y = -1/2 - 3/5x
2) Multiply both sides by 4 to make y by itself.
-1/2 * 4 = -2 (Multiply the top by 4 and you will get -4/2 = -2)
-3/5x * 4 = -12/5x (Multiply the top by 4 and you will get -12/5x)
y= -2 - 12/5x
3) Reorder the terms so that x goes first.
y= -12/5x -2
Answer: y=-12/5(x-2)
Step-by-step explanation:
Move x to the right.
1/4y = -1/2 - 3/5x
2) Multiply both sides by 4 to make y by itself.
-1/2 * 4 = -2 (Multiply the top by 4 and you will get -4/2 = -2)
-3/5x * 4 = -12/5x (Multiply the top by 4 and you will get -12/5x)
y= -2 - 12/5x
3) Reorder the terms so that x goes first.
y= -12/5x -2
Which set may be the lengths of the sides of an isosceles triangle?
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: Correct \:\: Choice\:\: D[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
For being the sides of an Isosceles triangle, the measure of two sides should be equal. and it should also fulfil the criteria of being a triangle.
i.e sum of either two sodes shouldn't exceed the third one, and difference between any two sides shouldn't be smaller than the third side.
So, keeping that in mind, the only option that satisfy the criterias is :
D. 4, 4, 6
As it has two equal sides measuring 4 each, and it fulfils the criteria of being a triangle too.
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer:
Step-by-step explanation: