Answer:
0.4245
Step-by-step explanation:
The probability that Z lies between -0.558 and 0.558 can be written as;
P(-0.558 < z < 0.558) = P(z < 0.558) - P(z < -0.558)
Using z - distribution table, we have;
P(z < 0.558) = 0.7122
P(z < -0.558) = 0.2877
Thus;
P(z < 0.558) - P(z < -0.558) = 0.7122 - 0.2877 = 0.4245
Please help!!!!!!!!!!!
Answer:
The ordered pair (15, 12) means that 15 pounds of beans cost $12.
Step-by-step explanation:
Ordered pairs are in the format of (x,y). The first number represents a point's position on the x-axis and the second represents a point's position on the y-axis. Also note that in this graph, the x-axis represents the weight of beans in pounds and the y-axis represents the cost of beans.
Knowing this, (15,12) means that 15 pounds of beans must cost $12.
What fractions are equivalent to terminating decimals?
Option B since -7/15 equals -0.4666...
Hope it helps!
Find the orthocenter for the triangle described by each set of vertices.
K (3.-3), L (2,1), M (4,-3)
Plzz help ASAP!!!
I'll give brainliest if ur correct
Answer:
The orthocentre of the given vertices ( 2 , -3.5)
Step-by-step explanation:
Step(i):-
The orthocentre is the intersecting point for all the altitudes of the triangle.
The point where the altitudes of a triangle meet is known as the orthocentre.
Given Points are K (3.-3), L (2,1), M (4,-3)
The Altitudes are perpendicular line from one side of the triangle to the opposite vertex
The altitudes are MN , KO , LP
step(ii):-
Slope of the line
[tex]KL = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{1-(-3)}{2-3} = -4[/tex]
The slope of MN =
The perpendicular slope of KL
= [tex]\frac{-1}{m} = \frac{-1}{-4} = \frac{1}{4}[/tex]
The equation of the altitude
[tex]y - y_{1} = m( x-x_{1} )[/tex]
[tex]y - (-3) = \frac{1}{4} ( x-4 )[/tex]
4y +12 = x -4
x - 4 y -16 = 0 ...(i)
Step(iii):-
Slope of the line
[tex]LM = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{-3-1}{4-2} = -2[/tex]
The slope of KO =
The perpendicular slope of LM
= [tex]\frac{-1}{m} = \frac{-1}{-2} = \frac{1}{2}[/tex]
The equation of the altitude
[tex]y - y_{1} = m( x-x_{1} )[/tex]
The equation of the line passing through the point K ( 3,-3) and slope
m = 1/2
[tex]y - (-3) = \frac{1}{2} ( x-3 )[/tex]
2y +6 = x -3
x - 2y -9 =0 ....(ii)
Solving equation (i) and (ii) , we get
subtracting equation (i) and (ii) , we get
x - 4y -16 -( x-2y-9) =0
- 2y -7 =0
-2y = 7
y = - 3.5
Substitute y = -3.5 in equation x -4y-16=0
x - 4( -3.5) - 16 =0
x +14-16 =0
x -2 =0
x = 2
The orthocentre of the given vertices ( 2 , -3.5)
Help please?!!!!!!!!
Answer:
12x + 3
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
6 + 4(3x - 2) + 5
Step 2: Simplify
Distribute 4: 6 + 12x - 8 + 5Combine like terms (Z): 12x + 3Your boss sends you a text of a painting of the Yankee stadium.
The painting is 16 inches by 24 inches. If the scale factor is 2.25, what is the actual size of the painting?
Your boss also needs to know if this is an enlargement or a reduction.
(If you can,Please provide an image of how you solved the problem.And please explain thoroughly how you got your answer.)
Answer:
170.6 inches
The scale factor is an enlargement
Step-by-step explanation:
16 by 24 is the Painting by a scale factor of 2.25
A scale factor is an enlargment or reduction in a shape or quantity.
So
(16*24) is the size of the painting after Scale factor
16*24=384
Know get 384/2.25
170.666666667
170.6 inches
We are given the discrete-time sinusoidal segment {6.2 cos(0.75 pi n + 1), n = 0, . . . , (N - 1)}. For what values of N will the spectrum computed using the DFT have no spectral leakage?
Answer:
the values of N for which there will be no spectral leakage are;
N = Integers multiple by 8
Step-by-step explanation:
Given that;
discrete-time sinusoidal segment x[n] = 6.2cos(0.75πn + 1)
Using DFT to compute the spectrum
The spectral leakage will not be present in the spectrum if the product f₀Td is an integer.
Here, f₀ is sinusoid's frequency and Td is the segment duration
Now we calculate the period of the signal
2π/ω = 2π/0.75π
ω = 2 / 0.75
( × 4 )
ω = 8 / 3
Here, the numerator value is the period of the signal
T₀ = 8
The spectral leakage will not be present in the spectrum if N is the Integer multiple of period T₀.
Therefore, the values of N for which there will be no spectral leakage are;
N = Integers multiple by 8
what is the averageof 02.15 + 03.25 + 04.23 + 05.01 = 14.64? so what is the average of 14.64 basically.
Answer:
3.66
Step-by-step explanation:
You have four numbers which sum equals 14.64. Now you divide 14.64 by 4 to get 3.66, or the mean/average
Your income determines your credit score
true or false
Your income determines your credit score
False.
Your income can sometimes affect your credit score, but it's not based on it. Your credit score is based on your Payment history, Credit history, and debt.
Henrik grew 3 times as many potatoes as Derek grew. Derek managed to grow 49 potatoes. Henrik already had 173 potatoes harvested from his other field. How many potatoes does Henrik have in all?
Answer: Henrik grew 147 more potatoes than Derek
Step-by-step explanation:
3^15/3^3 Please help me again?
Betty and Sally are 28 miles apart on a path when they start moving toward each other. Betty runs at a constant speed of 6 miles per hour, and Sally walks at a constant speed of 2 miles per hour. How long does it take until they meet?
Answer:
3.5 hours
Step-by-step explanation:
if you multiply 6 and 2 by 3.5, then add them you get 28
A door 2m*1m is fixed on a wall.The wall is 8.5 long and 2m high.Find the cost of whitewashing the wall ₹40 per square meter.
Answer:
[tex]600\ rupees[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\Dimensions\ of\ the\ door=2m *1m\\Dimensions\ of\ the\ wall=8.5m*2m\\Cost\ of\ whitewashing\ of\ 1m^2=40\ rupees\\Hence,\\First\ lets\ consider\ the\ wall:\\Area\ of\ a\ rectangle= Length*Width\\Here,\\Length\ of\ the\ wall=8.5\ m\\Width\ of\ the\ wall=2\ m[As\ here\ width\ and\ height\ are\ the\ same\ thing]\\Hence,\\Area\ of\ the\ wall=8.5*2=17\ m^2[/tex]
[tex]Now,\\Lets\ consider\ the\ door:\\As\ we\ know\ that,\\Area\ of\ a\ rectangle=Length*Width\\Here,\\Length\ of\ the\ door=2m\\Width\ of\ the\ door=1\ m\\Hence,\\Area\ of\ the\ door=2*1=2m^2\\\\Now,\\The\ area\ to\ be\ whitewashed=Area\ of\ the\ wall-Area\of\ the\ door\\Hence,\\The\ area\ to\ be\ whitewashed=17-2=15\ m^2\\\\As\ we\ know\ that,\\Cost\ of\ whitewashing\ 1\ m^2\ of\ the\ wall= 40\ rupees\\Hence,\\[/tex]
[tex]Cost\ of\ whitewashing\ the\ whole\ wall=Area\ of\ the\ wall\ to\ be\\ whitewashed*Rate\ of\ whitewashing\ per\ m^2\\Hence,\\Cost\ of\ whitewashing\ the\ whole\ wall=15*40=600\ rupees[/tex]
Help, BRAINLIEST to CORRECT answer!
Potential energy is the energy of motion.
Group of answer choices
True
False
Answer:
False
Step-by-step explanation:
Energy stored in an object is potential energy but energy in motion is kinetic energy
add on number line10 +(-3)
differences and similarities between obtuse angle and right angles
9) A 5 inch by 7 inch picture has a frame surrounding
it on all four sides of width w. The total area of the
picture frame and picture is 80 square inches.
a) Using the diagram and information, write an
expression for the total length, including the
frame, and with an expression for the total
width, including the frame.
Length expression:
Width expression:
b) Using the expressions for total length and width, write an equation for the total
area of the rectangular picture and frame (Hint: Area = l × w).
c) Using your knowledge of factoring, solve the equation from (b) for the width of
the frame surrounding the picture.
Answer:
w = 3/2
Step-by-step explanation:
Area of a Rectangle
The 5-inch by 7-inch picture has a frame of width w surrounding all four sides.
a)
The total length of the framed picture is 7 + 2w
The total width of the framed picture is 5 + 2w
b)
The total area of the framed picture is:
At = (7 + 2w)(5 + 2w)
c) We know the total area is 80 square inches, thus:
(7 + 2w)(5 + 2w) = 80
Operating:
[tex]35 + 14w + 10w + 4w^2=80[/tex]
Simplifying:
[tex]4w^2 + 24w -45 =0[/tex]
We now write:
[tex]4w^2 + 30w - 6w -45 =0[/tex]
Factor out 2w from the first two terms and -3 from the last two terms:
[tex]2w(2w + 15) - 3(2w + 15) =0[/tex]
Factor out 2w+15
(2w + 15)(2w - 3)=0
The solutions are:
w = -15/2
w = 3/2
The only feasible solution is the positive value, thus
w = 3/2
The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. a) You watch a roulette wheel spin 7 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin
Answer:
9 / 19
Step-by-step explanation:
Given that:
Number of slots on roulette wheel = 38
Number of red on wheel = 18
Number of black on wheel = 18
Number of green = 2
The probability that ball will land on red slot :
Recall: probability of event (A) = P(A)
P(A) = (number of required outcome / number of total possible outcomes)
Hence,
P(ball lands on red) = (Number of red slots / total number of slots)
P(ball lands on red) = 18 / 38
P(ball lands on red) = 9/ 19
Find the domain and range of the function represented by the graph.
pls help asap no trolls!
Answer:
HI
Step-by-step explanation:
In a triangle, the length size of each side corresponds to the size of the degree of the angle opposite it.
This means, the biggest angle would be opposite the side with the longest length, while the angle with the least degree will be opposite the side that is the smallest.
In ∆HIJ, the least angle measure is <J (54°).
Side length opposite to <J is HI.
Therefore the smallest side of ∆HIJ is HI
Write an question to represent:
one less than the quotient of four and a number x
Answer:
4/x-1
Step-by-step explanation:
so divide by x
so 4/x
less 1
4/x-1
HELP ME IF YOU KNOW ;((
Answer:
1.5
Step-by-step explanation:
Your answer is 1.5 have a good day
I NEED HELP IMMEDIATELY
Answer:
Between 80 and 160
Step-by-step explanation:
this is such a bad graph i honestly could not give you an exact answer
Sabrina has 54 ballon to arrange in bunches. She want to put the same numberof ballon on each bunch .list all the different ways can sabrina arrange the ballon
Answer:
54 groups of 1, 27 groups of 2, 18 groups of 3, 9 groups of 6, and repeat vice versa (6 groups of 9, etc).
Step-by-step explanation:
Total number of ways are 8 to arrange the balloon,
What is permutation and combination?Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,
Given that,
Total number of balloon Sabrina has = 54,
The number of ways Sabrina can arrange the balloon are:
1 group of 54 balloons,
2 groups of 27 balloons,
3 groups of 18 balloons,
6 groups of 9 balloons,
9 groups of 6 balloons,
18 groups of 3 balloons,
27 groups of 2 balloons,
54 groups of 1 balloon,
There are total 8 different ways Sabrina can arrange the balloons.
To know more about Permutation and Combination on:
https://brainly.com/question/13387529
#SPJ2
please help asap no trolls!
Answer:
Yes
Using SAS congruent property
Step-by-step explanation:
(a) Complete the table of values for y = 1/2x + 1
Please help ❤️
Answer:
y =1, 1.5, 2, 2.5, 3
Step-by-step explanation:
Plug in the values of x into the equation for y.
For example when x is 0, plug in 0 into the equation
0.5x + 1 = y
0.5(0) + 1 = 1
So, y = 1
To find the other values of y, plug in the designated value of x into the equation.
Sumbody help me out with this
Answer:
the answer is c
Step-by-step explanation:
A drop of oil makes a circular ring in a water puddle. The radius of the oil ring expands at 1.5 cm per second. If r(t)=1.5t and a(r)=лr^2, what composition of function describes the area of the oil ring in terms of time?
Answer:
[tex]a(t) =n(0.25t^2)[/tex]
Step-by-step explanation:
Given
[tex]r(t) = 0.5t[/tex]
[tex]a(r) = nr^2[/tex]
Required
Determine the area in terms of time
From the question, we have:
[tex]r(t) = 0.5t[/tex] -> radius per time
and
[tex]a(r) = nr^2[/tex] --> area from radius
The interpretation of the question is to find the composite function: a(t)
If [tex]a(r) = nr^2[/tex], and [tex]r(t) = 0.5t[/tex], the
Substitute 0.5t for r
[tex]a(t) =n(0.5t)^2[/tex]
[tex]a(t) =n*0.25t^2[/tex]
[tex]a(t) =n(0.25t^2)[/tex]
Which of the following best describes the slope of line that passes through the points (-3,8) and (-3,11)?
⭕️increasing
⭕️decreasing
⭕️zero
⭕️undefined
Answer:
undefined
Step-by-step explanation:
when x has the same number is undefined
but when y has the same is zero
2 Cassie has a family photograph that measures 5-inches wide and 7-inches long. She wants to enlarge the photograph and hang it on the wall. If the length of the enlarged photograph is 87.5 inches, what is the width of the enlarged photograph?
Answer:
62.5 inches
Step-by-step explanation:
We would solve this using ratio
Width : Length = Width/Length
For the Original photo
5 inches : 7 inches = 5/7
For the enlarged phots
x : 87.5 inches = x/87.5
Equating both ratios together, we have:
5/7 = x /87.5
Cross Multiply
7x = 5 × 87.5
7x = 437.5
x = 437.5/7
x = 62.5 inches
Hence, the width of the enlarged photo is 62.5 inches
From a cylinder of height of 24cm and base diameter 14cm, a cone having equal radius and height is hollowed out. Find the volume of the remaining solid of the cylinder.
Answer:
2463 cm^3
Step-by-step explanation:
Given that a cylinder of height of 24cm and base diameter 14cm, a cone having equal radius and height is hollowed out. Find the volume of the remaining solid of the cylinder.
Let first calculate the volume of the cylinder
V = πr^2h
Where the radius = 7 cm
V = π × 7^2 × 24
V = 3694.5 cm^3
Let's calculate the volume of a cone
V = 1/3πr^2h
V = 1/3 × π × 7^2 × 24
V = 1/3 × 3694.5
V = 1231.5 cm^3
To Find the volume of the remaining solid of the cylinder, minus the volume of a cone from the volume of a cylinder
Remaining volume V = 3694.5 - 1231.5
V = 2462.99 cm^3
V = 2463 cm^3 approximately