Answer:
44.9 megabytes
Step-by-step explanation:
all you need to do is find 19.7% of 228!
19.7% of 228 = 44.916
Arrange 21/50‚0.4‚9/20 in descending
order.
Answer:
9/20-21/50-0.4
Step-by-step explanation:
Answer:
0.4, 21/50, 9/20
Step-by-step explanation:
(from least to most)
- all you have to do is divide the top number from the bottom to get the decimal number
for example 21 divides by 50 is 0.42
The Line segments are translated 2 units to the left to form A’B’ and C’D’. Which statement describes A’B’ and C’D’?
Answer:
Line segments A'B' and C'D' do not intersect and are the same distance apart as AB and CD.
Step-by-step explanation:
For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ___________- as the margin of error increases.
For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error decreases as the margin of error increases.
The square root of the variance for the given set of numbers is what the standard deviation examines. It is employed to compute a confidence interval for making judgments (such as accepting or rejecting a hypothesis).
Here, the population standard deviation, and level of significance are the same.
As the margin of error increased.
So, with the increase in the value of the margin of error, there will surely decrease in the value of the sample size
\($$\begin{aligned}&\mathrm{MOE}_\gamma=z_\gamma \times \sqrt{\frac{\sigma^2}{n}}\\&\begin{aligned}\mathrm{MOE} & =\text { margin of error } \\\gamma & =\text { confidence level } \\z_\gamma & =\text { quantile } \\\sigma & =\text { standard deviation } \\n & =\text { sample size }\end{aligned}\end{aligned}$$\)
As the margin of error is in the denominator position in the sample size formula
Hence with an increase in the margin of error sample size decreases.
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Charlotte is running at a rate of 23 /h. What is Charlotte’s speed in /s?
Answer:
0.00638
Step-by-step explanation:
Use some dimensional analysis. There are 60 minutes in 1 hour, and 60 seconds in 1 minute:
\( \frac{23}{1} \frac{units}{hour} \times \frac{1}{60} \frac{hour}{minutes} \times \frac{1}{60} \frac{minute}{seconds} \)
The units of hour will cancel, minutes will cancel, leaving the units of seconds:
\( \frac{23}{60\times 60} \frac{units}{seconds} = 0.00638 \frac{units}{second} \)
The box plot represents the distribution of test scores for 24 students. None of the students
got the same score. Which statement about the test scores is a possible description of the
data?
25% of the scores are between 65 and 88.
58
65
73
88
100
50% of the scores are between 88 and 100.
50% of the scores are between 65 and 88.
50 55 60 65 70 75 80 85 90 95 100 105
25% of the scores are greater than 73.
Answer:
50% of the scores are between 65 and 88
Step-by-step explanation:
taking the diagnostic too
Under hi cell phone plan, Rahul pay a flat cot of $36 per month and $4 per gigabyte. He want to keep hi bill under $95 per month. What inequality can you ue to olve the anwer
The inequality you use to solve the question is 36 + 4x < 95.
We have given that,
Rahul pay a flat cost of $36 per month, rate is $4 per gigabyte and rahul want to keep his bill under $95 per month
we have to find inequality.
We know that total charge per month is,
C(x) = Flat cost + rate per gigabyte × number of gigabyte
let the number of gigabyte be x
putting the values we get,
C(x) = 36 + 4x
and Rahul want to keep his bill under $95 per month.
Therefore
36 + 4x < 95
⇒ 4x > 59
x < 14.75
Hence the inequality you use to solve the answer is 36 + 4x < 95.
Inequality refers to the phenomenon of unequal and/or unjust distribution of resources and opportunities among numbers of a given society. The term inequality may mean different things to different people and n different contexts.
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What's the answer ?
A. B. C. Or D?
Answer:
D.) y=-x-2
Step-by-step explanation:
Answer:
D.) y=-x-2
Step-by-step explanation:
Trust me I just know
for how many pairs of consecutive integers in is no carrying required when the two integers are added?
The number of pairs of consecutive integers in is no carrying required when the two integers are added are 156.
How we make the pairs of consecutive integers?At the point when the last 3 digits of the continuous numbers are _999 and _000. Just conceivable case-1999, 2000
At the point when the last 2 digits of the continuous numbers are _ _ 9 9 and _ _ 0 0. Potential cases-5 (Comparing to (0,1) (1,2) (2,3) (3,4) (4,5) in the 100th spot)
At the point when the last digit of the successive numbers is of the structure _ _ _ 9 and _ _ _ 0. Potential Cases-5*5 = 25
At the point when none is of that structure. Potential cases-5*5*5 = 125
Reply = 125+25+5+1 = 156
Thus,there are 156 ways to make the pairs of the consecutive integers.
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A certain freely falling object requires 1.20 s to travel the last 24.0 m before it hits the ground. From what height above the qround did it fall? Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m
The object fell from a height of approximately 7.057 meters above the ground.
We can solve this problem using the equations of motion for a freely falling object. The equation we’ll use is:
H = (1/2) * g * t^2
Where h is the initial height, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time taken to travel the last distance. Rearranging the equation, we get:
H = (24.0 m) + (1/2) * (9.8 m/s^2) * (1.20 s)^2
Calculating this expression, we find that h is approximately 7.057 meters. Therefore, the object fell from a height of approximately 7.057 meters above the ground.
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2 and 1/6 divided by 4 and 1/3, help pls
Answer:
The answer is 1 9/19
Step-by-step explanation:
mendel's postulate of independent assortment is supported by a 1:1:1:1 testcross ratio.
The concept of independent assortment is one of the fundamental principles of genetics that was first proposed by Gregor Mendel. According to Mendel's postulate of independent assortment, the alleles of different genes segregate independently of one another during the formation of gametes. This means that the inheritance of one trait does not affect the inheritance of another trait.
To test this postulate, Mendel conducted numerous experiments on pea plants and observed that the inheritance of different traits followed a predictable 1:2:1 ratio. This ratio indicated that the alleles for each trait were segregating independently of each other.
Overall, the content loaded Mendel's postulate of independent assortment is an important concept in genetics that helps explain how genetic variation is generated. The 1:1:1:1 testcross ratio is one of the many ways in which this postulate can be tested and supported.
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Musah stands at the center of a rectangular field.He takes 50 steps north,then 25 steps West and finally 50 on a bearing of 315°. Sketch Musah's movement How far west is Musah's final point from the center? How far north is Musah's final point from the center?
Answer:
The distance of Musah's final point from the center in the west direction is 60.355 steps
The distance of Musah's final point from the center in the north direction is 85.355 steps
Step-by-step explanation:
Given that :
Musah stands at the center of a rectangular field.
He takes 50 steps north, then 25 steps West and finally 50 on a bearing of 315°.
The sketch for Musah's movement is seen in the attached file below.
How far west is Musah's final point from the centre?
In order to determine how far west is Musah's,
Let d be the distance of how far west;
Then d = BC + CD cos θ
In the North West direction,
cos θ = cos 45°
d = 25 + 50( cos 45°)
d = 25 + 50(\(\dfrac{1}{\sqrt{2}}\) )
d = 25 + 50( 0.7071)
d =25 + 35.355
d = 60.355 steps
How far north is Musah's final point from the center?
Let d₁ be the distance of how far North;
Then d₁ = AB + CD sin θ
d₁ = 50 + 50 sin 45°
d₁ = 50 + 50(\(\dfrac{1}{\sqrt{2}}\) )
d₁ = 50 + 50( 0.7071)
d₁ = 50 + 35.355
d₁ = 85.355 steps
Suppose+that+10%+of+people+own+dogs.+if+you+pick+two+people+at+random,+what+is+the+probability+that+they+both+own+a+dog?+give+your+answer+as+a+decimal+rounded+to+4+places.
The probability that both people own a dog is 0.01 (or 0.0100 when rounded to four decimal places).
Here we assume that the we have the condition of independence of the probability on any other event, so, by multiplying the probabilities we can get out answer. The likelihood of having a dog is 10% (0.10) for each individual chosen at random, thus when we combine these probabilities together so that we get the probabilities of the two events combined with each other in this case,
0.10(0.10) = 0.01
Therefore, the probability that both people selected at random own a dog is 0.01 or 0.0100 when rounded to four decimal places.
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Complete question - Suppose that 10% of people own dogs if you pick two people at random, what is the probability that they both own a dog? give your answer as a decimal rounded to 4 places.
Evaluate the integral.
14∫ x³ √ x² + 8 dx
a.14/3 (x² + 8) ³/2 - 112(x² + 8)¹/² + c
b.14/5 (x²+8) 5/2+112/3(x²+8) 3/2 + c
c.14/5 (x²+8) 5/2 - 112/3(x²+8) 3/2 + c
d. 14/3 (x² + 8) ³/2 - 112(x² + 8)¹/² + c
The correct option for the evaluated integral 14∫x³√(x² + 8) dx is d. 14/3 (x² + 8) ³/2 - 112(x² + 8) ¹/² + c.
To evaluate the given integral, we can use the substitution method. Let u = x² + 8. Taking the derivative of u with respect to x gives du/dx = 2x, and solving for dx, we have dx = du/(2x).
Substituting the values into the integral, we get:
14∫x³√(x² + 8) dx = 14∫(x * √(x² + 8)) dx
= 14∫(x * √u) (du/(2x))
= 7∫√u du.
Integrating √u with respect to u, we obtain:
7∫√u du = 7 * (2/3)u^(3/2) + c
= 14/3 u^(3/2) + c
= 14/3 (x² + 8)^(3/2) + c.
Therefore, the correct option is d. 14/3 (x² + 8) ³/2 - 112(x² + 8) ¹/² + c.
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2.) The corresponding sides of two similar parallelograms measure 4 and 12. If the area of the larger parallelogram is 72, what is the area of the smaller parallelogram?
The area of the smaller parallelogram will be 8 square units.
What is parallelogram?The parallelogram is a quadrilateral whose two opposite sides are parallel to each other.
In the question the two corresponding sides of the two similar parallelogram are 4 and 12 so the ratio of the larger and the smaller parallelogram will be 3:1
Now the area of the smaller parallelogram will be calculated as
\((\dfrac{3}{1})^2=\dfrac{72}{A_s}\)
\(A_s=\dfrac{72}{9}=8\)
Hence the area of the smaller parallelogram will be 8 square units.
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SS ZONE
Block 5> Topic 3> Applications of Percent
Dre is painting a mural for his school.
Each can of spray paint costs $5 before
sales tax. The sales tax rate is 10%.
Plot a point that represents how Dre can
spend money on spray paint.
Cost Including Sales Tax (5)
132
88
44
20
40
60
Cost Before Sales Tax ($)
A point that represents how Dre can spend money on spray paint is plotted on the proportional relationship graphed at the end of the answer.
How to model the money spent?The money spent after sales tax is obtained multiplying the money spent before sales tax by a constant, hence a proportional relationship models the situation.
The general format of a proportional relationship is given as follows:
y = kx.
In which k is the constant of proportionality.
In this problem, the sales tax rate is of 10%, meaning that the total amount paid is composed as follows:
Cost before sales tax.10% of the cost before sales tax.Considering x as the cost before sales tax, the equation is given as follows:
y = x + 0.1x
y = 1.1x.
Meaning that one point is given as follows:
(5,5.5).
Meaning that when the cost before sales tax is of $5, the cost including sales tax is of $5.5.
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X= -5 y=2 work out the VALUE if 3x + 4y
Answer:
I think the answer is -7
because : 3(-5) + 4(2)
-15 + 8
= -7
A cube has a lateral area of 676 square feet. what is the side length of the cube? 4.3 feet 6.5 feet 10.6 feet 13 feet
The side length of the cube is 13 feet.
We have given that
Lateral area of a cube = 676 square feet
We have to determine the side length of the cube
So here we use the formula of the lateral surface area of the cube.
What is the formula for Lateral surface area?\(L=4side^2\)
L=676,and side =a
\(676=4a^2\)
divide both side by 4
\(\frac{676}{4}=a^2\)
\(169=a^2\)
Taking square root on both side of equation we will get
\(13=a\)
Therefore, Side length of the cube is 13 feet.
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Answer:
13
Step-by-step explanation:
Evaluate 5x 3 + 2 for x = -1.
6
-7
4
-3
Answer:
\(5 \times ( - 1)3 + 2 \\ \\ 5 - 3 + 2 \\ \\ = 4\)
Step-by-step explanation:
\(5 {x}^{3} + 2 \\ x = - 1 \\ 5 \times {( - 1)}^{3} + 2 \\ = - 5 + 2 \\ = - 3 \\ or \: 5x3 + 2 \\ = 5 \times - 1 \times 3 + 2 \\ = - 1 5 + 2 \\ = - 13 \\ thank \: you\)
for each linear equation in the table, indicate weather the equation has no solution, one solution, or infinitely many solutions x-3=x+3-4x-8=4x+8
Given:
• x - 3 = x + 3
Let's solve the equation above
x - 3 = x + 3
x - x = 3 + 3
0 = 6
Therefore, since 0 = 6, we can say the equation has no solution.
Equation 2:
-4x - 8 = 4x + 8
Let's solve the equation.
-4x - 4x = 8 + 8
-8x = 16
Divide both sides by -8:
\(\begin{gathered} \frac{-8x}{8}=\frac{16}{-8} \\ \\ x=-2 \end{gathered}\)Since x = -2, we can say the equation has one solution
ANSWER:
a) No solution
b) One solution
What is the equation for the line?
Answer:
y=mx+b
so, y=1/4x+6
Step-by-step explanation:
plug in, then simplify the slope.
Pls get it right this a test I need the best grade
Answer:
9.6
Step-by-step explanation:
Answer:
the answer is 9.6
Step-by-step explanation:
your welcome
Find a counterexample to show that the following statement is false.
No U.S. president has been younger than 65 at the time of his inauguration. Use the table below.
President Age at
Inauguration
Theodore Roosevelt | 42
John F. Kennedy | 43
Barack Obama | 47
Harry S. Truman | 60
James Buchanan | 65
William H. Harrison | 68
Ronald Reagan | 69
Answer: The statement "No U.S. president has been younger than 65 at the time of his inauguration" is false. A counterexample can be found in the table provided:
John F. Kennedy was 43 years old at the time of his inauguration, which is younger than 65. Therefore, John F. Kennedy serves as a counterexample that disproves the given statement.
Step-by-step explanation:
The statement claiming no U.S. president has been younger than 65 at the time of inauguration is false. Theodore Roosevelt, John F. Kennedy, and Barack Obama were all inaugurated while younger than 65, with Roosevelt being the youngest inaugural president at 42.
Explanation:The statement 'No U.S. president has been younger than 65 at the time of his inauguration' is proven to be false through the use of counterexamples. Theodore Roosevelt, John F. Kennedy, and Barack Obama were all under the age of 65 at the time of their inaugurations. It can therefore be concluded that the original statement is not true. For example, Theodore Roosevelt was only 42 years old when he was inaugurated, making him the youngest U.S. president at the time of inauguration.
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Compare finding the slope using a table and graph
Given the known sides, solve for y
Answer:
We conclude that:
m∠y = 70.53°Step-by-step explanation:
From the given right-angled triangle,
Hypotenuse is 15The angle is ∠y The adjacent to angle ∠y is 5Using the trigonometric ratio,
cos y = adjacent / hypotenuse
substituting adjacent = 5, hypotenuse = 15
cos y = 5/15
cos y = 1/3
y = arc cos (1/3)
y = 70.53°
Therefore, we conclude that:
m∠y = 70.53°Item 9
Gustavo, a diligent Khan Academy user, has increased his points from 8000 to 14,000 points. Find his percent increase.
Gustavo's percent increase in points is 75%.
To calculate the percent increase, we need to find the difference between the new value and the original value, divide that difference by the original value, and then multiply by 100.
Gustavo's original score was 8000 points, and his new score is 14,000 points. The difference between the new score and the original score is 14,000 - 8000 = 6000 points.
To find the percent increase, we divide the difference by the original score: 6000 / 8000 = 0.75.
To express this as a percentage, we multiply by 100: 0.75 * 100 = 75%.
Therefore, Gustavo's percent increase in points is 75%. He has increased his points by 75% from 8000 to 14,000 points.
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Solve the LP problem using the simplex tableau method a) Write the problem in equation form (add slack variables) b) Solve the problem using the simplex method Max Z = 3x1 + 2x2 + x3 St 3x - 3x2 + 2x3 < 3 - X1 + 2x2 + x3 = 6 X1, X2,X3 20
A. x1, x2, x3, s1, s2 ≥ 0
B. New table au:
x1 x2 x3 s1 s2 RHS
x2 | 0 1 4/7 3/14 -1/14 1/2
s2 | 1 0 3/7 -1/14 3/14 3/2
Z | 0
a) Writing the problem in equation form and adding slack variables:
Maximize Z = 3x1 + 2x2 + x3
Subject to:
3x1 - 3x2 + 2x3 + s1 = 3
-x1 + 2x2 + x3 + s2 = 6
x1, x2, x3, s1, s2 ≥ 0
b) Solving the problem using the simplex method:
Step 1: Convert the problem into canonical form (standard form):
Maximize Z = 3x1 + 2x2 + x3 + 0s1 + 0s2
Subject to:
3x1 - 3x2 + 2x3 + s1 = 3
-x1 + 2x2 + x3 + s2 = 6
x1, x2, x3, s1, s2 ≥ 0
Step 2: Create the initial tableau:
x1 x2 x3 s1 s2 RHS
s1 | 3 -3 2 1 0 3
s2 | -1 2 1 0 1 6
Z | 3 2 1 0 0 0
Step 3: Perform the simplex method iterations:
Iteration 1:
Pivot column: x1 (lowest ratio = 3/1 = 3)
Pivot row: s2 (lowest ratio = 6/2 = 3)
Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:
s2 = -s2/3
x2 = x2 + (2/3)s2
x3 = x3 - (1/3)s2
s1 = s1 - (1/3)s2
Z = Z - (3/3)s2
New tableau:
x1 x2 x3 s1 s2 RHS
x1 | 1 -2/3 -1/3 0 1/3 2
s2 | 0 7/3 4/3 1 -1/3 2
Z | 0 2/3 2/3 0 -1/3 2
Iteration 2:
Pivot column: x2 (lowest ratio = 2/7)
Pivot row: x1 (lowest ratio = 2/(-2/3) = -3)
Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:
x1 = -3x1/2
x2 = x2/2 + (1/7)x1
x3 = x3/2 + (4/7)x1
s1 = s1/2 - (1/7)x1
Z = Z/2 - (2/7)x1
New tableau:
x1 x2 x3 s1 s2 RHS
x2 | 0 1 4/7 3/14 -1/14 1/2
s2 | 1 0 3/7 -1/14 3/14 3/2
Z | 0
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I will give brainliest!
Answer:
Step-by-step explanation:
Find the area enclosed by the curve x 3t, y t and the y-axis. Step 1 The curve x = t2-3t, y = Vt intersects the y-axis when x = 0, which occurs when t = 0 and 3 3 H 3 '
The area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis is 2.08 square units.
We have been given parametric equations x = t^2 − 3t, y = √t
We need to find the area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis.
Consider x = 0
So, t^2 − 3t = 0
t(t - 3) = 0
t = 0 or t = 3
Let f(t) = t^2 − 3t and g(t) = t
Differentiate the curve f(t) with respect to t.
f'(t) = 2t - 3
NWe know that the formula to find the area under the curve.
A = ∫[a to b] g(t)f'(t) dt
here, a = 0 and b = 3
so, A = ∫[0 to 3] √t (2t - 3) dt
A = ∫[0 to 3] (2t√t - 3√t) dt
A = ∫[0 to 3] (2t^(3/2) - 3t^(1/2)) dt
A = [4/5 t^(5/2) - 2 t^(3/2)]_[t = 0, t = 3]
A = 4/5 3^(5/2) - 2 3^(3/2) - 0 + 0
A = 4/5 3^(5/2) - 2 3^(3/2)
A = 6√3 /5
A = 2.08
Therefore, the area of the curve is 2.08 square units.
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4. Find the value of x.
Answer: I believe its B
Step-by-step explanation:
Answer:
Step-by-step explanation:
The sum of interior angles is 180(n-2) where n=number of sides. In this case there are 8 sides so the sum of angles is
180(8-2)=1080 degrees. Now can solve for x
5x+4x+138+116+132+126+134+123=1080
9x+769=1080
9x=311
x=34.6