Answer:
5th - 13
6th - 20
7th - 27
8th - 34
Step-by-step explanation:
You add seven
The heights of young women are approximately normal with mean 64.5 inches and standard deviation 2.5 inches. what are the deciles of this distribution?
Deciles are 61.3 and 67.7
What are deciles?
Deciles are measures of position calculated on a set of data. The deciles are the values that separate a distribution into ten equal parts, where each part contains the same number of observations). The decile is a member of the wider family of quantiles.
Given:
Normal distribution =64.5 inches
Standard deviation=σ =2.5 inches
So, here the z- score for left decile= -1.28
and for right decile= +1.28
we know,
z= x-[tex]\mu[/tex]/σ
x= zσ + [tex]\mu[/tex]
x=-1.28*2.5 + 64.5
x= 61.3 and,
x= 1.28*2.5 + 64.5
x=67.7
hence, the deciles are 61.3 and 67.7
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Simplify: 3/4y - 2/4y + 7 = 2/4y - 1. Show your work.
help please
I'm assuming the equation is
[tex]\frac{3}{4}y - \frac{2}{4}y+7 = \frac{2}{4}y-1[/tex]
Let me know if the equation is different so I can update the solution.
-----------------
Fractions are a pain to deal with, so it's best to eliminate them whenever we can. In equations like this, we can multiply both sides by 4 since this is the LCD (which stands for "lowest common denominator").
If we multiply both sides by 4, then all the denominators of 4 will cancel.
We'll have these steps:
[tex]\frac{3}{4}y - \frac{2}{4}y+7 = \frac{2}{4}y-1\\\\4\left(\frac{3}{4}y - \frac{2}{4}y+7\right) = 4\left(\frac{2}{4}y-1\right)\\\\3y - 2y + 28 = 2y - 4 \ \ \text{ ... denominators cancel after distributing}\\\\y + 28 = 2y - 4\\\\y- 2y =- 4-28\\\\-y = -32\\\\y = \frac{-32}{-1}\\\\y = 32\\\\[/tex]
Final Answer: y = 32Answer:
[tex]y=32[/tex]
Step-by-step explanation:
Given the following question:
[tex]\frac{3}{4}y-\frac{2}{4}y+7=\frac{2}{4}y-1[/tex]
[tex]\frac{3}{4}y-\frac{2}{4}y+7-7=\frac{2}{4}y-1-7[/tex]
[tex]\frac{3}{4}y-\frac{2}{4}y=\frac{y}{2}-8[/tex]
[tex]\frac{3}{4}y-\frac{2}{4}y-\frac{y}{2}=\frac{y}{2}-8-\frac{y}{2}[/tex]
[tex]-\frac{y}{4}=-8[/tex]
[tex]4\left(-\frac{y}{4}\right)=4\left(-8\right)[/tex]
[tex]\frac{-y}{-1}=\frac{-32}{-1}[/tex]
[tex]y=32[/tex]
Therefore "y = 32."
Hope this helps.
What are the zeros of the expression (x-5)(2x+7)
Answer:
The zeros are x =5, -7/2
Step-by-step explanation:
To find the zeros, set the expression equal to zero
(x-5)(2x+7) =0
Using the zero product property
(x-5)=0 (2x+7)=0
Solve each equation
x=5 2x = -7
x=5 x = -7/2
The zeros are x =5, -7/2
Answer:
5, -7/2
Step-by-step explanation:
[tex]x - 5 = 0 = 5\\\\2x + 7 = 0\\2x + -7 = 0\\\frac{2x}{2} = \frac{-7}{2}\\ x = \frac{-7}{2}\\x = -\frac{7}{2}[/tex]
Thus,
x = 5
x = -7/2
(solve the literal equation for y.)
6 - 3y = -6
Answer:
4
Step-by-step explanation:
Noah is trying to bisect angle BAC. He draws circles of the same radius with centers B and C and then uses one of the points of intersection for his ray. What mistake has Noah made in his construction
The mistake done by Noah in his construction is that; length of the line segment AB and AC should be equal.
How to bisect an angle?
The steps in bisecting an angle say PQR is as follows;
Start with angle PQR that we will bisect.
1. Place the compasses' point on the angle's vertex Q.
2. Adjust the compasses to a medium wide setting. The exact width is not important.
3. Without changing the compasses' width, draw an arc across each leg of the angle.
4. The compasses' width can be changed here if desired. Recommended: leave it the same.
5. Place the compasses on the point where one arc crosses a leg and draw an arc in the interior of the angle.
6. Without changing the compasses setting repeat for the other leg so that the two arcs cross.
7. Using a straightedge or ruler, draw a line from the vertex to the point where the arcs cross.
8. This is the bisector of the angle ∠PQR.
Therefore, the mistake done by Noah is that length of the line segment AB and AC should be equal in order to bisect it.
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14. Determine whether the relation shown in the
table is a function. Explain. (Lesson 2-1)
Domain
Range
-4
8
2
11
-4
13
5
13
Now, it is not a function, same domain has different ranges
Michael is planning a trip to Hooperville. On the map, it is 3.5 inches from his home town. The map’s scale is 1.5 inches : 50 miles. How far away is Hooperville from his home town?
The real distance between Hooperville and Michael's home town is 116.667 miles.
How to use scales to estimate distancesScales are ratios commonly used to contain great extensions of land in images and maps and offer a quick though efficient manner to estimate distances. The real distance between Hoopersville and Michael's home town can be found thorugh this formula:
d' = d / r
Where:
r - Scale, in inches per miled - Reduced distance, in inchesd' - Real distance, in milesIf we know that d = 3.5 in and r = 1.5 in / 50 mi, then the real distance between Hooperville and Michael's hown town is:
d' = 3.5 in / (1.5 in / 50 mi)
d' = 116.667 mi
The real distance between Hooperville and Michael's home town is 116.667 miles.
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Why is the standard deviation of the distribution of means generally smaller than the standard deviation of the population of individuals?
The standard deviation of the distribution of means is generally smaller than the standard deviation of the population of individuals.
What is the standard deviation?The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.
The population of individuals is always smaller than the entire population, therefore the possibilities for variances will be lower with the sample than with the population. The higher the population, the greater the chances for deviation from the mean.
Therefore, the standard deviation of the distribution of means is generally smaller than the standard deviation of the population of individuals.
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How+long+will+it+take+for+$2900+to+grow+to+$25,600+at+an+interest+rate+of+10.4%+if+the+interest+is+compounded+quarterly?+round+the+number+of+years+to+the+nearest+hundredth.+group+of+answer+choices
The number of years to the nearest hundredth is t = 21 years and 3 months.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
It is given that:
A = $25,600
P = $29,00
r = 10.4 = 0.104
n = 4
[tex]\rm 25600 = 2900(1+\dfrac{0.104}{4})^{4t}[/tex]
After solving:
t = 21.212 years
Or
t = 21 years and 3 months
Thus, the number of years to the nearest hundredth is t = 21 years and 3 months.
The complete question is:
How long will it take for $2900 to grow to $25,600 at an interest rate of 10.4% if the interest is compounded quarterly round the number of years to the nearest hundredth?
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An isotope with z > 83, which lies close to the band of stability, will generally decay through_______
An isotope with z > 83, which lies close to the band of stability, will generally decay through decay.
What do we mean by decay?The process by which an unstable atomic nucleus loses energy through radiation is known as radioactive decay (also known as nuclear decay, radioactivity, radioactive disintegration, as well as nuclear disintegration). Radioactive material is one that contains unstable nuclei. Radioactive decay is the spontaneous transformation of one element into another. This can only happen by changing the number of protons in the nucleus (an element is defined by its number of protons). A radioactive procedure in which a nucleus spontaneously transforms into one or more different nuclei while emitting radiation, losing electrons, or fissioning. An isotope with z > 83, for example, which is close to the band of stability, will generally decay through decay.Therefore, an isotope with z > 83, which lies close to the band of stability, will generally decay through decay.
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Calculate the density of a solid substance if a cube measuring 2.57 cm on one side has a mass of 120. g
The required density of the given solid substance is 7.07 g/cm³.
What is the density of a substance?
The density of a substance is the property which is obtained by dividing the mass of the given substance by its volume. Its SI unit is kg/m³.
Calculation for the density of a solid substance
Mass of the given substance = 120 g
Side of cube, a = 2.57 cm
The volume of the given substance = a³
= 2.57³
= 16.97 cm³
The density of the given substance is given by the mass of the substance/volume of the substance
= 120 / 16.97
= 7.07 g/cm³
Hence, the density of the given solid substance is 7.07 g/cm³.
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what are the dimensions of a rectangle with an area equal to the parallelogram with the vertices (6,21) (14,15) (6,0) (-2,6)
The dimensions of the rectangle are:
width = 10 units
length = 17 units
What are the Dimensions of the Triangle?
We are given to find the dimensions of a rectangle with an area equal to the parallelogram with vertices (6, 21), (14, 15), (6, 0), and (-2, 6).
If we have two points with coordinates as (a, b) and (c, d) The distance is given by the formula: √[(c - a )² + (d - b)²]
Now, of the coordinates are labelled as;
A(6, 21), B(14, 15), C(-2,6), (6,0)
Thus;
AB = √(14 - 6)² + (15 - 21)² = √100 = 10 = CD
AC = √(-2 - 6)² + (6 - 21)² = 64 + 225 = √289 = 17 = BD
Thus the dimensions of the rectangle are:
AB = 10 = width
AC = 17 = length
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what is the diameter of a 5.23 cubic yard ball
Answer:
It is the size of a cube that is 1 yard on a side. It is about 202 gallons or about 765 liters. A cubic foot is a unit of volume. It is the size of a cube that is 1 foot on a side. It is about 7.5 gallons or about 28.3 liters. Cubic Yards to Cubic Feet Conversions (some results rounded)
Step-by-step explanation:
the midpoint of uv is m(10, 6). one endpoint is v(10, 7). find the coordinates of the other endpoint u.
The coordinates of the other endpoint U are found to be (Xu, Yu) = (10, 5).
What is coordinates of a point?The coordinates are a pair of numbers which characterize the exact location of a point on a cartesian plane through using horizontal and vertical lines.
The x and y values of a point on a graph are usually represented by (x, y). Each point or ordered pair has two coordinates.Now, as per the question.
To find the coordinates of U, use the midpoint formula with the coordinates of points u and v (Xv, Yv) and (Xm, Ym) respectively.
Let's refer to them as (Xu, Yu)
Midpoint formula {(Xv + Xu)/2, (Yv + Yu)/2)}
Fill in the recognized coordinates as needed.
Point V at (10, 7) = (Xv, Yv)
Midpoint, point M at (10, 6) = (Xm, Ym)
For the x coordinates;
(10 + Xu)/2 = 10
Xu = 10.
Similarly for the y coordinate;
(7 + Yu)/2 = 6
7 + Yu = 12
Yu = 5
We can test this by plugging U's coordinates into the midpoint formula.
(10 + 10)/2 = 20/2 = 10
(5 + 7)/2 = 12/2 = 6
Therefore, the coordinates of the are (Xu, Yu) = (10, 5).
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what’s the growth factor of 24,12,6,3,1.5
Answer:
0.5
Step-by-step explanation:
12/24 = 0.5
6/12 = 0.5
3/6 = 0.5
1.5/3 = 0.5
Answer: 0.5
Use the Segment Addition Postulate to solve the problem below.
Point E is the midpoint of line segment YT.
line segment YT = 14
line segment YE = 3x + 1
What is the value of x?
Given that Point E is the midpoint of line segment YT, the numerical value of x is 2.
What is the numerical value of x?A midpoint is simply a point that divides a segment into two equal halves.
Given the data in the question;
Point E is the midpoint of line segment YTLine segment YT = 14Line segment YE = 3x + 1Numerical value of x = ?Point E is the midpoint of line segment YT, YT is divided into two equal halves. Hence, Two times Line segment YE equals to YT.
2( Line segment YE ) = Line segment YT
Plug in the given values and solve for x.
2( Line segment YE ) = Line segment YT
2( 3x + 1 ) = 14
Expand using distributive property
2 × 3x + 2 × 1 = 14
6x + 2 = 14
Collect like terms
6x = 14 - 2
6x = 12
6x/6 = 12/6
x = 12/6
x = 2
Given that Point E is the midpoint of line segment YT, the numerical value of x is 2.
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Silvio wants to find the perimeter of quadrilateral abcd. he begins by computing the length of side ab using the distance formula. finish silvio’s work to find the length of side ab. what is the perimeter of quadrilateral abcd? 15 units 17 units 18 units 20 units
Silvio wants to find the perimeter of quadrilateral abcd. he begins by computing the length of side ab using the distance formula. finish silvio’s work to find the length of side ab. The perimeter of quadrilateral abcd is 20 units.
What is a perimeter?The total length of a shape's boundary is referred to in geometry as the perimeter of the shape. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.
A regular polygon's perimeter is equal to the product of all of its sides, which is equal to the number of sides times the length of a side.
We use the general method to get the perimeter of an irregular shape since the sides of an irregular polygon might not all be the same length.
Therefore, the irregular polygon's perimeter equals the total of its sides.
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use this to find the equation of the tangent line to the curve at the point and write your answer in the form: , where is the slope and is the y-intercept.
The equation can be simplified and written in a slope-intercept form as: [tex]y=18 \sqrt{3} x-6(\sqrt{3} \pi-1)[/tex]
What do we mean by equations?An equation is a mathematical declaration composed of two expressions joined by an equal sign. An equation is 3x - 5 = 16. By solving this equation, we obtain the value of the variable x as x = 7.To find the equation:
When we differentiate the function [tex]y=6 \sec (x)-12 \cos (x)[/tex], we get:
[tex]\begin{aligned}y^{\prime} &=\frac{d}{d x}(6 \sec (x)-12 \cos (x)) \\&=6 \frac{d}{d x}(\sec (x))-12 \frac{d}{d x}(\cos (x)) \\&=6 \sec (x) \tan (x)+12 \sin (x)\end{aligned}[/tex]
The slope of the tangent line is given by this derivative at the point [tex]x=\frac{\pi}{3}[/tex]:
[tex]y^{\prime}\left(\frac{\pi}{3}\right)=6 \sec \left(\frac{\pi}{3}\right) \tan \left(\frac{\pi}{3}\right)+12 \sin \left(\frac{\pi}{3}\right)=18 \sqrt{3}[/tex]The general equation y applies to the tangent line passing through the point [tex](a, y(a))[/tex] on the curve [tex]y(x)-y(a)=y^{\prime}(a)(x-a)[/tex].The tangent line in this case passes through the point [tex]\left(\frac{\pi}{3}, y\left(\frac{\pi}{3}\right)\right)=\left(\frac{\pi}{3}, 6\right)[/tex] and has the slope [tex]y^{\prime}\left(\frac{\pi}{3}\right)=18 \sqrt{3}[/tex].As a result, this tangent line has the equation: [tex]y-6=18 \sqrt{3}\left(x-\frac{\pi}{3}\right)[/tex]
Therefore, the equation can be simplified and written in a slope-intercept form as: [tex]y=18 \sqrt{3} x-6(\sqrt{3} \pi-1)[/tex]
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The correct question is given below:
Find the equation of the tangent line to the curve y = 6 sec (x) at the point ([tex]\pi[/tex]/3, 6). Give your answer in the form y = mx + b where m is the slope and b is the y--intercept.
Find the surface area AND
volume of this figure.
We get the surface area as 202 inches² and volume as 168 inches³.
The surface area of a cuboid is given by:
Surface area = 2xy + 2xz + 2yz
Here length = x = 7 inches
Breadth = y = 3 inches
Height = z = 8 inches.
Substituting the values in the formula, we get that:
Surface area = A = 2(7)(3) + 2(7)(8) + 2(3)(8) inches²
A = 42 + 112 + 48 inches²
A = 42 + 160 inches²
A = 202 inches²
Volume of a cuboid is given by :
Volume = xyz
Substituting the values, we get that:
Volume = (7) (3) (8) inches³
Volume = 21 × 8 inches³
Volume = 168 inches³.
Therefore, we get the surface area as 202 inches² and volume as 168 inches³.
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helppppppppppppppppppp
Answer:
19
Step-by-step explanation:
5w+3°=98°
5w=98°-3°
5w=95°
therefore w=95/5=19
Question 3 (1 point)
What is the correct solution for the following addition, reported to the correct
number of significant digits? Assume all numbers are measurements.
3001+ 20.3 +0.009
a) 3021
b) 3021.3
c) 3021.309
d) 3021.30
Answer:
I think it's C but I'm not 100% sure
factor the expressions:
1234567890123456789012345678901234567890
can anyone help me with this question please asap !! thank you in advance !!!!!
Answer:
31/35
Step-by-step explanation:
3/5 + 2/7 = (3 × 7) / (5 × 7) + (2 × 5) / (7 × 5)
= 21/35 + 10/35
= 31/35.
CAN SOMEONE HELP ME PLEASE I don't know what -2 1/3+(-1 3/4)=? in factions
The solution to the fraction expression -2 1/3 + (-1 3/4) is -4 1/12
How to evaluate the fraction?The fraction expression is given as
-2 1/3 + (-1 3/4) =
Express the terms of the expression as an improper fraction
So, we have
-2 1/3 + (-1 3/4) = -7/3 + (-7/4)
Remove the bracket in the above expression.
So, we have
-2 1/3 + (-1 3/4) = -7/3 - 7/4
Take the LCM in the above expression.
So, we have
-2 1/3 + (-1 3/4) = (-7 * 4 - 7 * 3)/12
Evaluate the difference
-2 1/3 + (-1 3/4) = -49/12
Express the fraction as a mixed fraction
-2 1/3 + (-1 3/4) = -4 1/12
Hence, the solution to the fraction expression -2 1/3 + (-1 3/4) is -4 1/12
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The sum of Melanie's and her brother's ages is 35. Four years from now, Melanie will be 5 years older than her brother. How old is Melanie? How old is her brother?
Answer:
Sum of ages is 35
Since there are two persons and it says four years from now, each year 2 more years will be added on to the 35 so year 1: 2years Year 2:4years Year 3:6years Year 4 : 8years
35+8= 43
Remember that Melanie will be 5 years older ( which she should have already been)
so 43+5= 48 ( Melanie's age)
and 48-5 = 43 ( Her brother's age)
Drama Teacher's Friend
Find the number that replaces each letter to complete the pattern in the
sequence. Use that number to replace the letter in the ordered pairs.
A =
1, 3, A, 7, 9, 11, B
3, C, 12, 24
2, 1, D, -1, -2, E, -4
F, 4, 9, 16, 25
7, 3,-1, G, -9
|||||||||||||||
E =
F =
G=
Answer:
hi 8jgvjig up uttgui86yghjWhat is the answer to this problem ?
Answer:
11
Step-by-step explanation:
Plug 4 into the x, 6(4) = 24
24 - 13 = 11
help with
absolute value functions
The method of altering a graph to produce a different version of the one that came before is known as graph transformation. The graphs are movable in the x-y plane and can be translated. Along with these modifications, they can also be stretched.
Horizontal stretching
Vertical stretching
Vertical translation
Horizontal translation
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What is the f(n) for -5?
A.4
B.1
C.-1
D.-6
Which of the following is a trinomial with a constant term?
O A. yo +8y³ +GAY
OB. X
OC. x³ + y
OD. x+ 2y + 10
Option D x+2y+10 .
A trinomial with a constant term will have three terms, and one of those terms will be a constant, which is a number.
we also know about the Constant
A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.
Some relatable terms are :
Monomial: Polynomial having a single term.
Binomial: Polynomial having two terms.
Trinomial: Polynomial having three terms.
In given option we'll define
in option A there is no constant .
option B there i sonly given x which is also not constant.
further in option c it is simply binomial in which only two terms are given without constant .
so at last conclusion is in option D there are three terms are given with one constant which is number 10 .
x+2y+10 is trinomial with a constant.
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