Answer:
[tex]M.E=0.046[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=300[/tex]
No. of rental [tex]x=111[/tex]
Confidence Interval [tex]CI=0.90\ \alpha=0.10[/tex]
Probability of rental
[tex]P(x)=\frac{111}{300}[/tex]
[tex]P(x)=0.370[/tex]
Generally the equation for Margin of Error is mathematically given by
[tex]M.E=Z_c*\sqrt{\frac{P(1-P)}{n}}[/tex]
[tex]M.E=1.645*\sqrt{\frac{0.370(1-0.370)}{300}}[/tex]
[tex]M.E=0.046[/tex]
Work out m and c for the line: y = 6 x
Answer:
m = 6
c = 0
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + c
m - slope c - y-interceptStep-by-step explanation:
Step 1: Define
y = 6x
↓ Compare to Slope-Intercept Form
Slope m = 6
y-intercept c = 0
Select all the correct answers.
Consider functions fand g.
f(x) = 4(x – 3)2 + 6
g(x) = -2(x + 1)2 + 4
Which statements are true about the relationship between the functions?
The vertex of function gis 4 units to the left of the vertex of function f.
The vertex of function gis 2 units below the vertex of function f.
Function gopens in the same direction as function f.
Function gopens in the opposite direction of function f.
The vertex of function gis 2 units above the vertex of function fi
vertex of function gis 4 units to the right of the vertex of function f.
Answer:
Step-by-step explanation:
f(x) = 4(x-3)² + 6
Up-opening parabola with vertex (3, 6)
g(x) = -2(x+1)² + 4
Down-opening parabola with vertex (-1,4)
A. True
B. True
C. False
D. True
E. False
F. False
The correct statements are:
"The vertex of function g is 4 units to the left of the vertex of function f.""The vertex of function g is 2 units below the vertex of function f.""Function gopens in the opposite direction of function f."Which statements are true about te functions?Here we have the two quadratic functions:
f(x) = 4*(x - 3)^2 + 6g(x) = -2*(x + 1)^2 + 4The x-value of the vertex is the value of x such that the first term becomes equal to zero, so for f(x) the vertex is at x = 3, and the y-value of the vertex is:
f(3) = 0 + 6 = 6
So the vertex is (3, 6)
For g(x) we can see that the vertex is at x = -1, and:
g(-1) = 0 + 4
So the vertex is at (-1, 4)
Also, you can see that for g(x) and f(x) the leading coefficients are of different sign. Meaning that f(x) opens upwards and g(x) opens downwards.
Now that we know the two vertices, we can see that the correct options are:
"The vertex of function g is 4 units to the left of the vertex of function f."
"The vertex of function gis 2 units below the vertex of function f."
"Function gopens in the opposite direction of function f."
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Which graph represents the function h(x)=x+0.5
Answer:
The correct graph of h(x) will be number 3 (c).
Step-by-step explanation:
We have the function h(x) = |x| + 0.5
On putting x=0, in the function h(x), we get,
h(0) = |0| + 0.5
h(0)=0 + 0.5
h(0)=0.5
Thus, the point (0,0.5) lie on the graph of h(x).
The graph that represents the function h(x) is graph (c)
How to determine the graph?The equation is given as:
h(x) = |x| + 0.5
The above equation is an absolute value function
An absolute value function is represented as:
h(x) = a|x + h| + k
Where:
Vertex = (h,k)
By comparing h(x) = a|x + h| + k and h(x) = |x| + 0.5, we have:
h = 0 and k = 0.5
So, the vertex is (0,0.5)
The graph that has a vertex of (0,0.5) is graph (c)
Hence, the graph that represents the function h(x) is graph (c)
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Evaluate 3|x|+2x-1 when x = -5.
Answer:
4
Step-by-step explanation:
To start off, we are going to input our x value into our expression.
3|-5| + 2(-5) - 1
Next, we are going to find the absolute value (always positive) of -5 and multiply 2 and -5.
3(5) - 10 -1
Now, we will multiply 3 and 5.
15 - 10 -1
Finally, we are going to combine our like terms (15, -10, and -1)
4
So! Our final answer for this expression is 4!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Find the value of x and the value of y.
A. x = 4, y = 8
B.x=7, y=422
C. X= 4/3, y= 7.2
D. x= 73, y=412
Answer:
x = 7 and
y = 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
as you can see from the image we need to draw a line and when we do so we get a special right triangle with angle measures 90-45-45 and side lengths represented by a-a-a[tex]\sqrt{2}[/tex]
since the line we drew is parallel to the rectangle's length it's = 4 and so the number represented with a is also = 4
from there on we see x = 7 and y = 4[tex]\sqrt{2}[/tex]
Answer:
I can confirm, it is B! x=7 and y=4sqrt2
Step-by-step explanation:
edge
terms are there. Divide 51 into three parts in AP so that the largest exceeds the smallest by 10.
The first three terms of the Arithmetic Progression are 12, 17 and 22.
For an ARITHMETIC PROGRESSION, AP ;
First term = a
Second term = a + d
Third term = a + 2d
Where, d = common difference ;
If third term exceeds smallest by 10 ;
Third term - first term
a + 2d - a = 10
2d = 10
d = 10/2
d = 5
Sum of the three terms :
a + (a + d) + a + 2d = 51
3a + 3d = 51
d = 5
3a + 3(5) = 51
3a + 15 = 51
3a = 51 - 15
3a = 36
a = 12
The AP would be:
First term, a = 12
Second term, a + d = 12 + 5 = 17
Third term = a + 2(d) = 12 + 10 = 22
Therefore , the first three terms of the AP are :
12, 17 and 22
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Give the degree of the polynomial. -5-5x2wy4-y4x2-4w3
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Answer:
7
Step-by-step explanation:
The degree of each term is the sum of the degrees of the variables in it.
Term, Degrees
-5, 0
-5x^2wy^4, x:2, w:1, y:4 -- term degree = 2+1+4 = 7
-y^4x^2, y:4, x:2 -- term degree = 4+2 = 6
-4w^3, w:3 -- term degree = 3
The highest of these is 7, so the degree of this polynomial is 7.
Shane plants a 6-inch tomato plant in his garden. The plant grows by about 12% per week for several months. Which function definition represents the height of the tomato plant (in inches) as a function of the number of weeks, t since the tomato plant was planted?
Answer:
[tex]f(t)=6(1.12^t)[/tex]
Step-by-step explanation:
every week the plant grows by 12%, so the ratio is 1.12. the original height of the plant is 6. f(x)=a(b^x) such that a=6, b=1.12, and x=t
Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the line
through the points rises, falls, is horizontal, or is vertical
(2,9) and (-2,9)
For each of the following equations, determine whether y is a function of x.
x= -7y^2
b. x = 1/4y
c. y^2 = 4x +9
d. y= 5x +8
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Answer:
a) not a function
b) is a function
c) not a function
d) is a function
Step-by-step explanation:
If the graph passes the "vertical line test," then the relation is a function.
Choices B and D are linear equations. Their graph is a straight line, so each x-value corresponds to exactly one y-value. (Every non-vertical line passes the vertical line test.)
Choices A and C are equations of parabolas that open horizontally. It is easy to draw a vertical line that intersects the graph twice, so these relations fail the vertical line test.
__
B, D -- functions
A, C -- not functions
Q12 A baker wants to order enough flour for 10 loaves of bread weighing 750g each. She has a recipe for a 500g loaf of bread which needs 480g of flour. How many kilograms of flour does the baker need? Show your working
Answer:
7.2kg of flour
Step-by-step explanation:
Total weight of bread = 10 x 750g
= 7500g = 7.5kg
500g of bread = 480g of flour
0.5kg of bread = 0.48kg of flour
7.5kg of bread = 7.2kg of flour
Kiểm tra 800 hạt gạo của một lô gạo người ta thấy có 750 hạt nguyên, 25 hạt tấm lớn, 25 hạt tấm bé. Hãy tìm khoảng tin cậy của tỉ lệ hạt nguyên của lô gạo nói trên với độ tin cậy 95%. Cho U(0,025) = 1,96, U(0,05) = 1,645.
Answer:
what is your Language I think it is Russian I don't understand Russian I only understand Nepali,English and Japanese
Triangle ABL is an isosceles triangle in circle A with a radius of 11, PL = 16, and ∠PAL = 93°. Find the area of the circle enclosed by line PL and arc PL. Show all work and round your answer to two decimal places.
The area bounded by a chord and arc it intercepts is known as a segment of a circle segment of a circle
The area of the circle enclosed by line PL and arc PL is approximately 37.62 square units
The reason the above value is correct is as follows:
The given parameters in the question are;
The radius of the circle, r = 11
The length of the chord PL = 16
The measure of angle ∠PAL = 93°
Required:
The area of part of the circle enclosed by chord PL and arc PL
Solution:
The shaded area of the given circle is the minor segment of the circle enclosed by line PL and arc PL
The area of a segment of a circle is given by the following formula;
Area of segment = Area of the sector - Area of the triangle
Area of segment = Area of minor sector APL - Area of triangle APL
Area of minor sector APL:
Area of a sector = (θ/360)×π·r²
Where;
r = The radius of the circle
θ = The angle of the sector of the circle
Plugging in the the values of r and θ, we get;
Area of the minor sector APL = (93°/360°) × π × 11² ≈ 98.2 square units
Area of Triangle APL:
Area of a triangle = (1/2) × Base length × Height
Therefore;
The area of ΔAPL = (1/2) × 16 × 11 × cos(93°/2) ≈ 60.58 square units
Required shaded area enclosed by line PL and arc PL:
Therefore, the area of shaded segment enclosed by line PL and arc PL is found as follows;
Area of the required segment PL ≈ (98.2 - 60.58) square units = 37.62 square units
The area of the circle enclosed by line PL and arc PL ≈ 37.62 square units
Learn more about the finding the area of a segment can be found here:
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The area of the circle enclosed by line segment PL and circle arc PL is 37.80 square units.
The calculation of the area between line segment PL and circle arc PL is described below:
1) Calculation of the area of the circle arc.
2) Calculation of the area of the triangle.
3) Subtracting the area found in 2) from the area found in 1).
Step 1:
The area of a circle arc is determined by the following formula:
[tex]A_{ca} = \frac{\alpha\cdot \pi\cdot r^{2}}{360}[/tex] (1)
Where:
[tex]A_{ca}[/tex] - Area of the circle arc.
[tex]\alpha[/tex] - Arc angle, in sexagesimal degrees.
[tex]r[/tex] - Radius.
If we know that [tex]\alpha = 93^{\circ}[/tex] and [tex]r = 11[/tex], then the area of the circle arc is:
[tex]A_{ca} = \frac{93\cdot \pi\cdot 11^{2}}{360}[/tex]
[tex]A_{ca} \approx 98.201[/tex]
Step 2:
The area of the triangle is determined by Heron's formula:
[tex]A_{t} = \sqrt{s\cdot (s-l)\cdot (s-r)^{2}}[/tex] (2)
[tex]s = \frac{l + 2\cdot r}{2}[/tex]
Where:
[tex]A_{t}[/tex] - Area of the triangle.
[tex]r[/tex] - Radius.
[tex]l[/tex] - Length of the line segment PL.
If we know that [tex]l = 16[/tex] and [tex]r = 11[/tex], then the area of the triangle is:
[tex]s = \frac{16+2\cdot (11)}{2}[/tex]
[tex]s = 19[/tex]
[tex]A_{t} = \sqrt{19\cdot (19-16)\cdot (19-11)^{2}}[/tex]
[tex]A_{t} \approx 60.399[/tex]
Step 3:
And the area between the line segment PL and the circle arc PL is:
[tex]A_{s} = A_{ca}-A_{t}[/tex]
[tex]A_{s} = 98.201 - 60.399[/tex]
[tex]A_{s} = 37.802[/tex]
The area of the circle enclosed by line segment PL and circle arc PL is 37.80 square units.
look at the image below
Answer:
201.1 km²
Step-by-step explanation:
Surface area of a sphere= 4πr², where r = radius
so,
4πr²
= 4×π×4²
= 64π
= 201.1 km² (rounded to the nearest tenth)
alicia bought 205 pink and purple beads. she lost 3/5 of the pink beads and was given another 15 purple beads.
Answer: sorry
Step-by-step explanation:
767u6777
Michigan and Michigan State play each other this Saturday in football. Based on data from ESPN, Michigan averages 38.1 points per game with a SD of 8.4 and average 424 yards gained per game with a SD of 72. The correlation between points scored and yards gained is 0.68. Thus:
Average points = 38.1, SD= 8.4
Average yards gained = 424, SD= 72, r = 0.68
Required:
a. Find the slope of the regression equation for predicting number of points scored based on average yards gained per game). Report your answer to 4 decimal places.
b. If Michigan gains 500 yards in the game against Michigan State, what is Michigan's predicted points scored? Round to the nearest whole number.
Answer:
200000
by 10009
Step-by-step explanation:
nbebsbsbsbbsbsbsbsbBz
[tex] \frac{3 \cot30 }{2 \cosec30} [/tex]
Correct to two decimal places . Please help .
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Answer:
0.02
Step-by-step explanation:
We assume your angle is in degrees:
3cot(30°)/230 = 3√3/230 ≈ 0.02259
≈ 0.02 . . . . . rounded to 2 decimal places
__
This is a straightforward calculator problem. You may have to use one or another of the identities ...
cot(30°) = 1/tan(30°) = tan(90° -30°) = tan(60°)
Shawn has 4 times as many candies as Jason, who has a third as many candies as
lan. If Shawn has 64 candies, how many candies does Ian have?
12/1,000 into decimal
0.012 is the answer!
I hope this helps you out! :D
[tex]\\ \sf\longmapsto \dfrac{12}{1000}[/tex]
1000 has 3zeros hence decimal will go 3 points left[tex]\\ \sf\longmapsto 0.012[/tex]
More:-
[tex]\\ \sf\longmapsto \dfrac{1}{10}=0.1[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{100}=0.01[/tex]
The segments shown below could form a triangle.
A
C
7
9
12
B
А
a
A. True
B. False
Answer:
TRUE
Step-by-step explanation:
I SEEN SOME ONE ELSE WIT 5 STARS SAY SO(:
The given segment can form triangle. Therefore, the given statement is true.
What is triangle?A polygon has three edges as well as three vertices is called a triangle. It's one of the fundamental geometric shapes. In Euclidean geometry, each and every three points that are not collinear produce a distinct triangle and a distinct plane. In other words, every triangle was contained in a plane, and there is only single plane that encompasses that triangle.
All triangles are enclosed in a single plane if all of geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Unless when otherwise specified, this article discusses triangles within Euclidean geometry, namely the Euclidean plane. The given segment can form triangle.
Therefore, the given statement is true.
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Banking fees have received much attention during the recent economic recession as bankslook for ways to recover from the crisis. A sample of 31 customers paid an average fee of $11.53 permonth on their checking accounts. Assume the population standard deviation is $1.50. Calculatethe margin of error for a 90% confidence interval for the mean banking fee.
Answer:
The margin of error for a 90% confidence interval for the mean banking fee is of $0.44.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Sample of 31:
This means that [tex]n = 31[/tex]
Assume the population standard deviation is $1.50.
This means that [tex]\sigma = 1.5[/tex]
Calculate the margin of error for a 90% confidence interval for the mean banking fee.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.645\frac{1.5}{\sqrt{31}}[/tex]
[tex]M = 0.44[/tex]
The margin of error for a 90% confidence interval for the mean banking fee is of $0.44.
please helpppp i need it by tonight its very important
Answer:
m<1=145
m<2=35
m<3=35
Step-by-step explanation:
measure one is supplementary(the angles add to 180) to measure four.
so we do 180-35=145
measure 2 is congruent to measure four because they are corresponding angles
so measure 2=35
and measure 3 is also congruent to measure 4 because the are corresponding angles
so m<3=35
Mike has 18 goldfish and 24 silver fish in his aquarium what is the ratio of silverfish to total fish in the aquarium aquarium
Answer:
4:7
Step-by-step explanation:
18+24=total number of fish=42
silver fish amount= 24
therefore, ratio is 24:42=12:21=4:7
In one area, the lowest angle of elevation of the sun in winter is 24degrees Find the distance x that a plant needing full sun can be placed from a fence that is 10.5 feet high. Round your answer to the tenths place when necessary. PLEASE HELP ASAP
Answer:
round answer is : 10 ft
Step-by-step explanation:
The explanation is in the picture!
Pls help and thanks
Answer:
A. -10
Step-by-step explanation:
Hi there!
We are given that the equation of line m is [tex]y=\frac{1}{10}x[/tex], and we want to find the slope of the line perpendicular to m
Perpendicular lines have slopes that multiply to get the result of -1
So let's find the slope of line m
The equation is written in the form y=mx+b, where m is the slope, and b is the y intercept
As [tex]\frac{1}{10}[/tex] is in the place of where the slope should be, [tex]\frac{1}{10}[/tex] is the slope
Now find the slope of the perpendicular line with this formula:
[tex]m_1*m_2=-1[/tex]
[tex]m_1=\frac{1}{10}[/tex]
In that case,
[tex]\frac{1}{10}*m_2=-1[/tex]
Multiply both sides by 10
[tex]m_2=-10[/tex]
So the slope of the perpendicular line is -10, or A
Hope this helps!
From a club of 24 people, in how many ways can a group of four members be selected to attend a conference?
Answer:
255,024
Step-by-step explanation:
24 x 23 x 22 x 21
24 options for the first member
23 options for the second member
22 options for the third member
21 options for the last member
Solve for x.
A. 9
B. 12
C. 1
D. 7
Answer:
9
Step-by-step explanation:
use Tangent-chord formula for finding the arc knowing E
x=1/2n
4x+19=1/2n
n=8x+38
both arcs = 360
28x-2+8x+38=360
x=9
Parallel Lines:
If the two lines are parallel and cut by a transversal line, what is the value of x?
Step-by-step explanation:
The corresponding angles theorem tells us that angles that correspond with each other are equal. In this case, B and C are corresponding angles.
(2x+8) = 60
2x = 60 - 8
2x = 52
x = 26
13. 30 of the 100 iPads in an inventory are known to be cracked. What
is the probability you randomly select one that is not cracked?
Answer:
7/10 or 0.7
Step-by-step explanation:
a probability is always the ratio of possible cases over all cases.
"all cases" here is 100.
possible cases are all iPads not cracked in the inventory = 70 (because 30 are cracked, that leaves 100-30=70 not cracked).
so, the probability to select a non-cracked unit is
70/100 or simplified 7/10 (or 0.7)
The container that holds the water for the football team is 2/5 full. After pouring in 8 gallons of water, it is 2/3 full. How many gallons can the container hold?
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Answer:
30 gallons
Step-by-step explanation:
Let c represent the capacity of the container. Then we have ...
2/5c + 8 = 2/3c
Multiplying by 15 clears the fractions:
6c +120 = 10c
120 = 4c . . . . . . . . subtract 6c
30 = c . . . . . . . . . . divide by 4
The container can hold 30 gallons.
_____
Additional comment
Often, you are told to "clear fractions" first when solving equations that involve them. Here, you can work directly with the fractions, if you like.
8 = (2/3c) -(2/5c) = 4/15c . . . . . find the difference of the fractions
8(15/4) = c = 30 . . . . . . . . . . . . . multiply by its inverse
