Answer:
Item from shelf A cost $5.41 and items from shelf B cost $4.89Step-by-step explanation:
x represents an item form shelf A, y represents an item from shelf B.
The equations are:
3x + 2y = 262x + 5y = 32Solve by elimination.
Multiply the first equation by 2 and the second one by 3, then subtract the first equation form the second:
6x + 15y - 6x - 4y = 96 - 529y = 44y = 44/9 = 4.89 (rounded)Find the value of x:
3x + 2*4.89 = 263x = 26 - 9.783x = 16.22x = 16.22/3x = 5.41 (rounded)True or false? Plz help
Answer:
True
Step-by-step explanation:
It doesn't cross over one point more than once
What is the image of (-8,-8)(−8,−8) after a dilation by a scale factor of \frac{1}{4} 4 1 centered at the origin?
We conclude that the image of (-8, -8), after a dilation by a scale factor of 1/4, is (-2, -2).
What is the image after the dilation?
For a point (x, y), a dilation by a scale factor of k gives the point (k*x, k*y).
Now, in this case, we have the point (-8, -8) and the scale factor is k = 1/4.
Then, using the above relation, we can write the coordinates of the image after the dilation as:
(-8*(1/4), -8*(1/4)) = (-2, -2).
We conclude that the image of (-8, -8), after a dilation by a scale factor of 1/4, is (-2, -2).
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If a die is rolled one time, what is the probability of getting a number greater than zero?
Answer:
If it is a fair die then it should have 6 faces, each one having a number 1-6. The probability of landing on a single number is 1/6. Because the die is fair there should be an equal probability of landing on a number 1-6 giving you a probability of 1/6. However, if the number of times rolled is changed, then the answer would be multiplied or added (depending on the question).
A company manufactures CD drives that theoretically experience disc-read errors 1.2% of the time. If a CD drive is tested for 250 read operations and fails 4 times, the empirical probability that a CD drive will fail is %. If the theoretical model is valid, the company would expect the empirical probability to decrease as the number of read operations .
Answer:
Let P= error
n = number of operations
P = .016
n = 250
Multiply P and n
.016 (250) = 4
The number of times it may fail is 4.
Find the value of x and the value of y
Answer:
A. x = 16, y = 9√2
Step-by-step explanation:
✔️Let's find y first using trigonometric ratio:
Reference angle = 45°
Hypotenuse = y
Opposite = 9
Therefore,
Sin(45) = 9/y
y = 9/sin(45)
y = 9/(1/√2)
y = 9 × √2/1
y = 9√2
✔️To find x, let's find the adjacent side of the right triangle first, them add it to 7.
Adjacent side using Pythagorean Theorem would be,
Adj² = y² - 9²
Adj² = (9√2)² - 9²
Adj² = 162 - 81
Adj² = 81
Adj = √81
Adj = 9
x = adj + 7 = 9 + 7
x = 16
I'm Serena. For a science project, my friend Jack and I are launching three model rockets, one after another. We launch the first rocket, and then 3 seconds later, we launch the next one. And we're launching the final rocket three seconds after that, from a platform that is 20 feet high.
For our project, we need to predict the paths for all three rockets. We also need to estimate when they will all be in the air at the same time. [A graph that shows "Height of rocket (feet)" on the y-axis and "Time (seconds)" on the x-axis is shown. A red downturned parabola is shown and labeled "Path of the first rocket."]
We have calculated the path of the first rocket. It looks like this: a parabola that opens down. The y-axis is the height of the rocket in feet, and the x-axis is the time in seconds.
My friend Jack thinks we need to recalculate the graphs for the other two model rockets. But since the rockets are all the same, I think we can just shift the graph of the first rocket to find the graphs for the other two. [The graph is duplicated in green and shifts to the right, and then again in blue and shifts to the right and up. Then the rockets blast off again.]
What do you think? How can we use the graph of the first rocket to create the graphs of the second and third rockets? When will all three rockets be in the air at the same time?Evaluate the Conjectures:
2. Do you agree with Serena that you can draw the graphs for the other two rockets by shifting the functions? Or do you think that Jack is correct that you need to recalculate the other two? Explain. (2 points)
Analyzing the Data:
Suppose that the path of the first model rocket follows the equation
h(t) = −6 • (t − 3.7)2 + 82.14,
where t is the time in seconds (after the first rocket is launched), and h(t) is the height of each rocket, in feet.
Compare the equation with the graph of the function. Assume this graph is a transformation from f(t) = –6t2. What does the term –3.7 do to the rocket's graph? What does the value t = 3.7 represent in the science project? (What happens to the rocket?)
Again assuming a transformation from f(t) = –6t2, what does the term 82.14 do to the rocket's graph? What does the value h(t) = 82.14 represent in the science project? (What is happening to the rocket?) (2 points)
Serena and Jack launch the second rocket 3 seconds after the first one. How is the graph of the second rocket different from the graph of the first rocket? Describe in terms of the vertical and horizontal shift.
What is the equation of the second rocket?
They launch the third rocket 3 seconds after the second rocket and from a 20-foot-tall platform. What will the graph of the third rocket look like? Describe in terms of the vertical and horizontal shift.
What is the equation of the third rocket?
Answer the following questions about the three rockets. Refer to the graph of rocket heights and times shown above.
a. Approximately when is the third rocket launched?
b. Approximately when does the first rocket land?
c. What is the approximate interval during which all three rockets are in the air?
Answer:
8. h(t) = -6 ((t-6) -3.7)^2 + 82.14 +20
9.b) At about 7.4 seconds.
Step-by-step explanation:
Yes, on #7 the function is located 3 places to the right and 2.5 up, but that's just counting the tiny squares. If you look at the number and problem, on #8, you can't add +2.5, because the rocket wasn't on a platform 2.5 feet high. Remember that outside the parentheses + means up and - means down. So add + 20(ft).
I see you already have things covered with another user, but for question 8, and 9. b), try these answers.
Please answer this question
Answer:
$40.00 is the answer
Step-by-step explanation:
also can you mark me as a brainlist if you get a chance
Answer: $40.00
Step-by-step explanation:
12 is 30% of 40
Please help. It is due soon!
Answer:
Step-by-step explanation:
While the portion between the vertical bars is always positive, that value is multiplied by a negative number giving a negative result. The two results are correct and are not extraneous.
-2|-8 + 4| = -8
-2|- 4| = -8
-2(4) = -8
-8 = -8
-2|-8/3 + 4| = -8/3
-2|4/3| = -8/3
-2(4/3) = -8/3
-8/3 = -8/3
If f(-5)=7 identify a point on the graph of f
Answer:
If f(-5) = 7, then the point P(-5, 7) will be on the graph of f
where -5 is the x-coordinate and 7 is the y-coordinate
Step-by-step explanation:
What is the probability of
spinning a yellow?
[?]%
Answer:
12.5 %
Step-by-step explanation:
There are 8 total sections, and only one of them is yellow. So if we spun it eight times, the possibility of getting yellow is one time. As a result, 1/8 is 12.5%
Use the graph of f(x) to explain the relationship
between the real zeros of f(x) and its intercept(s).
4
A. f(x) has one real zero at --2 because the graph of the
function has an intercept at (0.-2).
B. f(x) has two real zeros at -4 and -2 because the
graph of the function has intercepts at (-4,0) and (0,
-2).
C. f(x) has no real zeros because the graph of the
function does not pass through (0,0).
D. f(x) has one real zero at 4 because the graph of the
function has an intercept at (-4, 0).
Answer:
D.f(x) has one real zero at 4 because the graph of the function has an intercept at (-4,0).
The mass of a neutron is approximately 1.674927 × 10^−27 kg. Recall that the mass of a proton is 1.672622 × 10^−27 kg. Explain which is heavier.
Answer:
The mass of the deuteron = mass of the proton + mass of the neutron + mass equivalent of the energy of 2.2 Mev evolved.
I amu = 931 Mev
2.2 Mev = 2.2 / 931 amu
= ( 2.2 / 931 )x 1.6726 x 10⁻²⁷
= .00395 x 10⁻²⁷
The mass of the deuteron =( 1.6726 + 1.6749 + .00395)x 10⁻²⁷ kg
= 3.35145 x 10⁻²⁷ kg
b ) Momentum of gamma ray
= h / λ ( h is plank's constant and λ is wavelength of gamma ray )
= hυ / υλ ( υ is frequency of gamma ray )
= E / c ( E is energy of photon and c is velocity o light )
= 2.2 x 10⁶ x 1.6 x 10⁻¹⁹ J / 3 x 10⁸
= 1.173 x 10⁻²¹ Kg m /s
This will be the momentum of deuteron also
Kinetic energy
= p² / 2m ( p is momentum and m is mass of deuteron )
= ( 1.173 x 10⁻²¹ )² / ( 2 x 3.35145 x 10⁻²⁷)
= 1.376 x ⁻¹⁵ J
Energy of gamma ray
= 2.2 x 10⁶ x 1.6 x 10⁻¹⁹ J
= 3.52 x 10⁻¹³ J
So kinetic energy of deuteron is smaller than energy of gamma ray photon .
Step-by-step explanation:
which must be true in order for the relationship zyx~wvu to be correct
In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:
Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.
Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.
These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).
Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.
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Compare A and B in three ways, where A = 1.8 million is the 2012 population of city X and B = 2.6 million is the 2012 population of city Y.
a. Find the ratio of A to B.
b. Find the ratio of B to A.
c. Complete the sentence: A is ____ percent of B.
Click on the measure of angle s.
38°
) 152
142
38
52
Answer:
here,
38+X=180 (being straight line)
or,X=180-38
therefore, X=142 ans,,,
Leila works mowing lawns and babysitting.She earns $8.20 an hour for mowing and $7.90 and hour and babysitting.How much will she earn for 7 hours of mowing and 4 hours of babysitting?
Answer: 89
Step-by-step explanation:
1 hr of mowing = 8.20 dollars
1 hr of babysitting = 7.90 dollars
7 hrs of mowing = 8.20 x 7 = 57.4 dollars earned
4 hrs of babysitting = 7.90 x 4 = 31.6 dollars earned
Total amount she has earned = 57.4 + 31.6 + = 89 dollars
6. Ari, a gardener, estimates the cost of seeding a 150 m by 210 m area with grass seed. He needs 3 pounds of seed per 100 000 square feet. How many pounds of seed will Ari need?
Ari will need 3.6 pound of seed.
We are Given that total number of pounds of grass seed needed
9
Let number of pounds of Bermuda seeds is x
Let number of pounds of Fescue seeds is y
Then sum of both gives equation:
x+y=9
y=9-x...(i)
Given that cost of 1 pound of Bermuda seed = $4.80
Then cost of x pound of Bermuda seed = $4.80x
The cost of 1 pound of Fescue seed = $3.50
Then cost of y pound of Fescue seed = $3.50y
The total cost will be 4.80x + 3.50y
Now combining all three parts, we get equation:
4.80x+3.50y=4.02 x 9
4.80x+3.50y=36.18...(ii)
4.80x+3.50y=36.18
4.80x+3.50(9-x)=36.18
4.80x+31.5-3.50x=36.18
4.80x-3.50x=36.18-31.5
1.3x=4.68
x=3.6
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answer 2-4 and 8-20 please it does not need to be correct but please havve them be plausible answers
The algebraic values of x include:
2. 51 3. 50 4. 82simplest radical form: 8. 2√85 9. √89 10. 2√181 11. 2√181 12. 3√5 13. 10√516. right triangle.17. not a right triangle.18. not a right triangle.19. acute 20. acuteHow to calculate sides of a triangle?Using the same reasoning as in the previous problem:
24² + 45² = x²
576 + 2025 = x²
2601 = x²
x = ±51
Since x represents a length, discard the negative solution. Therefore, the value of x is 51.
Using the Pythagorean Theorem:
30² + 40² = x²
900 + 1600 = x²
2500 = x²
x = ±50
Since x represents a length, discard the negative solution. Therefore, the value of x is 50.
Using the Pythagorean Theorem:
18² + 80² = x²
324 + 6400 = x²
6724 = x²
x = ±82
Since x represents a length, discard the negative solution. Therefore, the value of x is 82.
Using the Pythagorean Theorem:
18² + 4² = x²
324 + 16 = x²
340 = x²
x = √340 = 2√85
Therefore, the value of x is 2√85 in simplest radical form.
Using the Pythagorean Theorem:
8² + 5² = x²
64 + 25 = x²
89 = x²
x = √89
Therefore, the value of x is √89 in simplest radical form.
Using the Pythagorean Theorem:
20² + 18² = x²
400 + 324 = x²
724 = x²
x = √724 = 2√181
Therefore, the value of x is 2√181 in simplest radical form.
Using the Pythagorean Theorem:
25² + 3² = x²
625 + 9 = x²
634 = x²
x = √634
Therefore, the value of x is √634 in simplest radical form.
Using the Pythagorean Theorem:
3² + 6² = x²
9 + 36 = x²
45 = x²
x = √45 = 3√5
Therefore, the value of x is 3√5 in simplest radical form.
Using the Pythagorean Theorem:
22² + 4² = x²
484 + 16 = x²
500 = x²
x = √500 = 10√5
Therefore, the value of x is 10√5 in simplest radical form.
To determine if a triangle is a right triangle, we can use the Pythagorean Theorem, which states that for any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Therefore:
a² + b² = c²
Substituting a = 8, b = 15, and c = 17:
8² + 15² = 17²
64 + 225 = 289
289 = 289
Since the equation is true, the triangle satisfies the Pythagorean Theorem and is therefore a right triangle.
Using the same method:
27² + 36² = 45²
729 + 1296 = 2025
2025 ≠ 2025
Since the equation is false, the triangle does not satisfy the Pythagorean Theorem and is therefore not a right triangle.
Using the same method:
9² + 11² = 4²
81 + 121 = 16
202 ≠ 16
Since the equation is false, the triangle does not satisfy the Pythagorean Theorem and is therefore not a right triangle.
To determine the classification of this triangle, compare the lengths of its sides. If all sides are less than the sum of the other two, then the triangle is acute; if one side is greater than or equal to the sum of the other two, then the triangle is obtuse; and if one side is equal to the sum of the other two, then the triangle is degenerate (a straight line).
Substituting a = 3, b = 4, and c = 6:
a + b = 3 + 4 = 7 < c
b + c = 4 + 6 = 10 > a
a + c = 3 + 6 = 9 > b
Since none of the sides are equal to or greater than the sum of the other two, the triangle is acute.
Substituting a = 9, b = 11, and c = 16:
a + b = 9 + 11 = 20 < c
b + c = 11 + 16 = 27 > a
a + c = 9 + 16 = 25 > b
Since none of the sides are equal to or greater than the sum of the other two, the triangle is acute.
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Image transcribed:
Algebra Find the value of x.
1. 12, 9, x
To start, use the Pythagorean Theorem. Then substitute 9 for a, 12 for b, and x for c.
2. 45 24 x
3. 30, 40, x
4. 80, 18, x
Algebra Find the value of x. Express your answer in simplest radical form.
8. 18, 4, x
9. 8, 5, x
10. 20, 18, x
11. 25, 3, x
12. 3, 6, x
13. 22, 4, x
Is each triangle a right triangle? Explain.
16. 15, 17, 8
17. 27, 45, 36
18. 9, 11, 4
The lengths of the sides of a triangle are given. Classify each triangle as acute, right, or obtuse.
19. 3,4,6
To start, compare to a+b. Substitute the greatest length for c.
20. 9, 11, 16
students were asked to choose a city if 4/7 of them chose new york and 1/7 chose los angeles what fraction chose either new york or los angles
Answer: 5/7 of the kids chose New York or L.A.
Step-by-step explanation:
All you need to do in this problem is add the fraction of people that chose New York and the fraction of people that chose L.A:
4/7 + 1/7 = 5/7
WILL GIVE BRAINLIEST FOR RIGHT ANSWERS!!
Answer:
h(0) = -2
x = 3
Step-by-step explanation:
Line is intersecting x and y axes at points (1, 0) & (0, -2)
Slope of line (m) = (-2 - 0)/(0 - 1) = -2/(-1) = 2
y - intercept (b) = -2
Equation of line in slope-intercept form is given as:
y = mx + b
plugging the values of m and b in the above equation, we find:
y = 2x + (-2)
y = 2x - 2
Replacing y by h(x), we find:
h(x) = 2x - 2 (This is the required function)
Plug x = 0 in the function, this gives:
h(0) = 2(0) - 2
h(0) = 0 - 2
h(0) = -2
Plug h(x) = 4
4 = 2x - 2
4 + 2 = 2x
6 = 2x
x = 6/2
x = 3
How to do a arithmetic sequence
Answer:
See below.
Step-by-step explanation:
"...start with a number a, and add to it a fixed constant d, over and over again. This type of sequence is called an arithmetic sequence. Definition: An arithmetic sequence is a sequence of the form a, a + d, a + 2d, a + 3d, a + 4d, etc."
-hope it helps
What is the total area, in square meters, of the shaded sections of the trapezoid below?
Please
Help test
See the picture
Answer:
Area = 110.88 m²
Step-by-step explanation:
Total area = area of the two triangles + area of the rectangle
Total Area = ½bh + L*W × ½*by
= ½*7*7.2 + 7.6 × 7.2 + ½*8.6*7.2
= 25.2 + 54.72 + 30.96
Total Area = 110.88 m²
Solve these please!!!
The area of the figure ABDECA, and the coordinates of the points on the quadrilateral are;
1. The area is about 15.16 units²
2. The coordinates of the points are;
(i) B(5, 8)
(ii) C(8.58, 4)
(ii) D(8,58, 1.21)
What is a quadrilateral?A quadrilateral is a four sided polygon.
1. The coordinate of the point C can be found as follows;
Let (x, y) represent the coordinates of the C, we get;
(x + 8)/2 = 5
x = 2 × 5 - 8 = 2
(y + 8)/2 = 6
y = 2 × 6 - 8 = 4
The coordinates ot the point C (2, 4)
The length of the segment BC = √((8 - 2)² + (8 - 4)²) = 2·√(13)
Length of the side AB = √((8 - 6)² + (8 - 11)²) = √(4 + 9) = √(13)
The area of the triangle ABC = (1/2) × 2·√(13) × √(13) = 13
CE is perpendicular to DE, let (a, b), represent the coordinates of the point E, therefore;
(4 - y)/(2 - x) = -(5 - x)/(6 - y)
y - 4 = (-4/7)(x - 2)
y - 6 = (7/4)(x - 5)
(-4/7)(x - 2) + 4 = (7/4)(x - 5) + 6
x = (17/5) = 3.4
y = (7/4)((17/5) - 5) + 6 = 3.2
The coordinates of the point E is (3.4, 3.2)
The length of the side DE = √((5 - 3.4)² + (6 - 3.2)²) = √(10.4)
Length of the side CE = √((3.2 - 2)² + (3.4 - 4)²) = √(1.8)
Area of the triangle ΔCDE = (1/2) × √(10.4) × √(1.8)
Area of the figure is therefore;
13 + (1/2) × √(10.4) × √(1.8) ≈ 15.16 square units2. The equation of the line AB is; y - 6 = (1/3)·(x - (-1))
y - 6 = (1/3)·(x + 1)
y = (1/3)·(x + 1) + 6
The slope of the segment AE = (4 - 6)/(3 - (-1)) = -1/2
Slope of the segment BE = -1/(-1/2) = 2
Equation of BE is; y - 4 = 2·(x - 3)
y = 2·(x - 3) + 4 = (1/3)·(x + 1) + 6
Therefore, x = 5
y = (1/3)·(5 + 1) + 6 = 8
The coordinates of the point B is (5, 8)(ii) Area of the triangle EBC = 24 unit²
EB = (1/2) × √((5 - 3)² + (8 - 4)²) = √20
Therefore;
BC = 24/(√20) = 12/√5 = 12·√5/5 = √(28.8)
(x - 5)² + (y - 8)² = 28.8
y = 4, therefore;
(x - 5)² + (4 - 8)² = 28.8
(x - 5)² = 28.8 - (4 - 8)² = 12.8
x = √(12.8) + 5
The coordinates of the point C is C(√(12.8) + 5, 4) ≈ (8.58, 4)(iii) The equation of the segment AD is; y - 4 = (-1/2)(x - 3)
x = √(12.8) + 5
Therefore;
y - 4 = (-1/2)((√(12.8) + 5) - 3)
y = (-1/2)((√(12.8) + 5) - 3) + 4 ≈ 1.21
The coordinate of the pint D is about; D(8,58, 1.21)Learn more on parallel and perpendicular lines here: https://brainly.com/question/29526529
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Solve the following quadratic inequality x^2+x-6>0
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2
equalivent fraction of 2/3
Answer:
4/6
6/9
just multiply both sides by 2 and then u have an equivalent fraction
Step-by-step explanation:
have a good day and i hope i helped!
A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 2.5 in. A branch of the military requires women's heights to be between 58 in and 80 in.
a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall?
b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements?
Answer:
(A)
Step-by-step explanation:
The survey follows of women's height a normal distribution.
The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.
The new height requirements would be 57.7 to 68.6 inches
The given parameters are:
\mathbf{\mu = 63.5}μ=63.5 --- mean
\mathbf{\sigma = 2.5}σ=2.5 --- standard deviation
(a) Percentage of women between 58 and 80 inches
This means that: x = 58 and x = 80
When x = 58, the z-score is:
\mathbf{z= \frac{x - \mu}{\sigma}}z=
σ
x−μ
This gives
\mathbf{z_1= \frac{58 - 63.5}{2.5}}z
1
=
2.5
58−63.5
\mathbf{z_1= \frac{-5.5}{2.5}}z
1
=
2.5
−5.5
\mathbf{z_1= -2.2}z
1
=−2.2
When x = 80, the z-score is:
\mathbf{z_2= \frac{80 - 63.5}{2.5}}z
2
=
2.5
80−63.5
\mathbf{z_2= \frac{16.5}{2.5}}z
2
=
2.5
16.5
\mathbf{z_2= 6.6}z
2
=6.6
So, the percentage of women is:
\mathbf{p = P(z < z_2) - P(z < z_1)}p=P(z<z
2
)−P(z<z
1
)
Substitute known values
\mathbf{p = P(z < 6.6) - P(z < -2.2)}p=P(z<6.6)−P(z<−2.2)
Using the p-value table, we have:
\mathbf{p = 0.9999982 - 0.0139034}p=0.9999982−0.0139034
\mathbf{p = 0.9860948}p=0.9860948
Express as percentage
\mathbf{p = 0.9860948 \times 100\%}p=0.9860948×100%
\mathbf{p = 98.60948\%}p=98.60948%
Approximate
\mathbf{p = 98.61\%}p=98.61%
This means that:
The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.
So, many women (outside this range) would be denied the opportunity, because they are either too short or too tall.
(b) Change of requirement
Shortest = 1%
Tallest = 2%
If the tallest is 2%, then the upper end of the shortest range is 98% (i.e. 100% - 2%).
So, we have:
Shortest = 1% to 98%
This means that:
The p values are: 1% to 98%
Using the z-score table
When p = 1%, z = -2.32635
When p = 98%, z = 2.05375
Next, we calculate the x values from \mathbf{z= \frac{x - \mu}{\sigma}}z=
σ
x−μ
Substitute \mathbf{z = -2.32635}z=−2.32635
\mathbf{-2.32635 = \frac{x - 63.5}{2.5}}−2.32635=
2.5
x−63.5
Multiply through by 2.5
\mathbf{-2.32635 \times 2.5= x - 63.5}−2.32635×2.5=x−63.5
Make x the subject
\mathbf{x = -2.32635 \times 2.5 + 63.5}x=−2.32635×2.5+63.5
\mathbf{x = 57.684125}x=57.684125
Approximate
\mathbf{x = 57.7}x=57.7
Similarly, substitute \mathbf{z = 2.05375}z=2.05375 in \mathbf{z= \frac{x - \mu}{\sigma}}z=
σ
x−μ
\mathbf{2.05375= \frac{x - 63.5}{2.5}}2.05375=
2.5
x−63.5
Multiply through by 2.5
\mathbf{2.05375\times 2.5= x - 63.5}2.05375×2.5=x−63.5
Make x the subject
\mathbf{x= 2.05375\times 2.5 + 63.5}x=2.05375×2.5+63.5
\mathbf{x= 68.634375}x=68.634375
Approximate
\mathbf{x= 68.6}x=68.6
Hence, the new height requirements would be 57.7 to 68.6 inches
The rug has an area of 20 square meters. The width of the rug is 4 meters
4m
length
What is the length of the rug?
meters
Answer:
Length = 5 mStep-by-step explanation:
area = length x width
where area = 20 m²
width = 4 m
length = ?
plugin values into the formula:
A = L * W
20 = L * 4
L= 20 / 4
L = 5 m
Please help! Will mark brainliest for correct answer!
Vector C is 3.5 units West and Vector D is 3.3 units South. Vector R is equal to Vector D - Vector C. Which of the following describes Vector R?..
8.3 units 54
South of East
8.3 units 54circ South of East
4.8 units 47
East of South
4.8 units 47circ East of South
6.2 units 32
West of South
6.2 units 32circ West of South
5.9 units 52
South of West
The Vector R will be 4.8 units in the direction of East of South. Then the correct option is B.
Given that:
Vector C is 3.5 units West
Vector D is 3.3 units South
The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.
Vector R is equal to Vector D - Vector C. Then we have
Vector R = Vector D - Vector C
Vector R = 3.3 units South - 3.5 units West
Vector R = 3.3 units South + 3.5 units East
Vector R = √((3.3)² + (3.5)²)
Vector R = 4.8 units
More about the vector link is given below.
https://brainly.com/question/13188123
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apply the Pythagorean theorem to find the measure of leg in the following right triangle:
please
Answer:
6 m
Step-by-step explanation:
the Pythagorean theorem :
a²+b²=c²
=> b² = c²-a²
= 10²-8²
= 100-64
=36
so, b = √36 = 6
HELP
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answer:
cos
Step-by-step explanation:
take 31 degree as reference angle
using cos rule
cos 31=adjacent/hypotenuse
0.85=14/x
x=14/0.85
x=16.47
x=16.5