Answer:
The first one
Step-by-step explanation:
Let X equal the excess weight of soap in a "1000-gram" bottle. Assume that the distribution of X is N(u. 167). What sample size is required so that we have 99% confidence that the maximum error of the estimate of μ is 0.9?
To achieve 99% confidence with a maximum error of 0.9, the sample size required can be determined using the formula: n = (z * σ / E)^2
where n is the sample size, z is the z-score corresponding to the desired confidence level (in this case, 2.58 for 99% confidence), σ is the standard deviation (in this case, 167), and E is the maximum error (0.9).
By substituting the given values into the formula, we find that the required sample size is approximately 92.
To calculate the sample size, we use the formula: n = (z * σ / E)^2
Given: Desired confidence level (1 - α) = 0.99 (which corresponds to a z-score of 2.58 for 99% confidence)
Standard deviation (σ) = 167
Maximum error (E) = 0.9
Substituting the values into the formula, we have: n = (2.58 * 167 / 0.9)^2
Calculating this expression, we find that the required sample size is approximately 92. Therefore, a sample size of at least 92 is necessary to achieve 99% confidence with a maximum error of 0.9 in estimating the mean weight of soap.
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If x+4/4 = y+7/7 then x/4 =___.
(Number 9 is the one I need an answer for)
Answer:
4th answer is correct
Step-by-step explanation:
First, let us make x the subject.
\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)
Use cross multiplication.
\(\sf 7(x+4)=4(y+7)\)
Solve the brackets.
\(\sf 7x+28=4y+28\)
Subtract 28 from both sides.
\(\sf 7x=4y+28-28\\\\\sf7x=4y\)
Divide both sides by 7.
\(\sf x=\frac{4y}{7}\)
Now let us find the value of x/4.
To find that, replace x with (4y/7).
Let us find it now.
\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)
Are these lines perpendicular?
Answer:
No
Step-by-step explanation:
Answer: no
Step-by-step explanation:
Typically you can test if lines are perpendicular. You would test if the slopes are opposite signed and reciprocals(flipped)
You don't need to test, you can see the lines do not look perpendicular
They would form right angles, or squared angles, like the corner of a paper.
so answer is no
Write and solve a proportion to answer the question.
What number is 45% of 60?
Answer:
27
Step-by-step explanation:
0.45 divide by 60 and you get 27
Answer:
27
Step-by-step explanation:
x/60 = 45/100
if you write it out, cross multiply then solve for x
in a binomial experiment, the number of successes can never exceed the number of trials. true/false
Answer:
True
Step-by-step explanation:
An expected value is another term for the mean of a probability distribution. The number of successes in a binomial experiment must range from zero to n. In a binomial experiment, the number of successes can never exceed the number of trials. The probability of a success must exceed the probability of a failure.
solve for x please −4(2x−4)−2x−2=-36
ANSWER:
X= 5
STEPS:
-8x+16-2x-2=-36
- 10 x + 14=- 36
- 10 x = - 36 - 14
- 10 x=-50 (divide -50 by -10x)
x = 5
Answer:
x = 5
Step-by-step explanation:
intermediate algebra skill factoring the sum or difference of cubes
Factoring the sum or difference of cubes involves using specific formulas to simplify expressions.
The sum of cubes formula, a^3 + b^3 = (a + b)(a^2 - ab + b^2), and the difference of cubes formula, a^3 - b^3 = (a - b)(a^2 + ab + b^2), allow us to break down these expressions into more manageable factors.
To factor the sum or difference of cubes, you can use the following formulas:
Sum of Cubes: a^3 + b^3 = (a + b)(a^2 - ab + b^2)
Cube difference: (a - b)(a - b)(a - b)(a - b)(a - b)
Sum of Cubes:
The sum of cubes formula states that the sum of two cubes, a^3 + b^3, can be factored into (a + b) multiplied by the quadratic expression a^2 - ab + b^2.
For example, let's factorize 8x^3 + 27:
We can identify a = 2x and b = 3, so using the sum of cubes formula:
8x^3 + 27 = (2x + 3)(4x^2 - 6x + 9)
Difference of Cubes:
The difference of cubes formula states that the difference between two cubes, a^3 - b^3, can be factored into (a - b) multiplied by the quadratic expression a^2 + ab + b^2.
For example, let's factorize 64y^3 - 125:
We can identify a = 4y and b = 5, so using the difference of cubes formula:
64y^3 - 125 = (4y - 5)(16y^2 + 20y + 25)
Factoring the sum or difference of cubes involves using specific formulas to simplify expressions. The sum of cubes formula, a^3 + b^3 = (a + b)(a^2 - ab + b^2), and the difference of cubes formula, a^3 - b^3 = (a - b)(a^2 + ab + b^2), allow us to break down these expressions into more manageable factors. Factoring such expressions can be useful in various algebraic calculations and simplifications.
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PLEASE HELP I WILL PUT BRAINLIEST!!
Triangle ABC is an acute triangle it is an isosceles triangle. the length of AB is 6 inches. the length of AC is 4 inches. what measurement could the length of BC be?
Answer: 6 inches.
Step-by-step explanation:
if a figure can be rotated 360° to be mapped onto itself, is it considered to have rotational symmetry? explain.
Yes, if a figure can be rotated 360° to be mapped onto itself, it is considered to have rotational symmetry.
This is because a 360° rotation means that the figure will return to its original position, making it symmetrical. Rotational symmetry is a type of symmetry where a figure can be rotated about a central point and still look the same. The degree of rotational symmetry depends on the number of times a figure can be rotated to match its original appearance. Therefore, if a figure can be rotated 360° and maintain its original appearance, it is said to have rotational symmetry of degree 1. This is true regardless of the size, orientation, or position of the figure. Yes, a figure that can be rotated 360° to be mapped onto itself is considered to have rotational symmetry. Rotational symmetry occurs when an object can be rotated around a central point and still appear the same as its original position. In the case of a 360° rotation, the figure returns to its initial configuration, confirming its rotational symmetry.
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Suppose your roommate smokes in your apartment, imposing a cost on you. The Coase theorem suggests that one solution would involve:
The Coase theorem suggests that in situations like this, bargaining between the two parties can lead to an efficient outcome. In this case, the smoker and non-smoker (roommate and you) could negotiate to find a solution that minimizes the total cost to both parties.
For example, the smoker could agree to smoke outside or use an air purifier, while the non-smoker could offer to pay a portion of the cost of these solutions. Ultimately, the Coase theorem suggests that as long as property rights are clearly defined and transaction costs are low, the two parties can negotiate to find a mutually beneficial solution to the problem of smoking in the apartment.
1. Clearly defining property rights: Establish whether the apartment has a non-smoking policy or if you have the right to a smoke-free environment within your living space.
2. Engaging in negotiation: Communicate your concerns to your roommate and discuss the negative effects of their smoking on you.
3. Finding a mutually beneficial solution: Both parties can negotiate and arrive at a compromise. This could include your roommate agreeing to smoke outside, designating a specific area for smoking, or using a smoke-filtering device. In some cases, you may also consider offering compensation or splitting the costs of a smoke-filtering device.
By following these steps, both you and your roommate can reach an efficient solution that reduces the cost imposed on you due to your roommate's smoking.
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PLS HELP ASAP THIS IS DUE ON MONDAY!!!!!
Identify the vertical angle to angle ADX
Reason:
Vertical angles form after intersecting two lines in an X shape. The vertical angles are opposite one another. They do not have to be vertically aligned.
The other pair of vertical angles are ADB and XDF.
Vertical angles are always congruent.
i need help asap with geometry
Answer:
AC=17x+7
Step-by-step explanation:
AC=AB+BC
AC=3x-1+14x+8
AC=17x+7
The value of y varies inversely with the square of x, and y = 4, when x = 5. What is y when x=10
Answer:
Step-by-step explanation:
\(y=k/x^{2}\)
when y=4, x=5. Therefore:
\(4=k/5^2\)
\(k=100\\\)
If \(k=100, x=10 \\\)
then \(y=100/10^2\)
y=1
Answer:
The value of x when y = 9 is x = 2 or x = -2
Step-by-step explanation:
Given that value of y varies inversely as the square of x, and y=4, when x=3.
Therefore the initial statement is:
\(y x \frac{1}{x^{2} }\)
mary receives $100 for her birthday. her grandma told her she can only spend half of the money each day. if she obeys her grandma on what day would she have spent the last of the money
1. y = 5 x Reflected across the x-axis 2. y = 5 –x+ 5 Reflected across the y-axis 3. y = 5 –x + 5 Translated down by 5 units 4. y = 5 –x – 5 Translated up by 5 units 5. y = –5 –x Translated left 5 units 6. y = 5 –x – 5 Translated right by 5 units
The matchup are:
1. Translated left 5 units - y = 5⁻ ˣ ⁻ ⁵ 2. Translated right by 5 units - y= 5⁻ ˣ ⁺ ⁵3. Translated up by 5 units - y = 5⁻ˣ + 54. Translated down by 5 units - y = 5⁻ ˣ -5 5. Reflected across the x-axis - y= - 5 ⁻ ˣ6. Reflected across the y-axis -y = 5ˣWhat is Translation and reflection?Reflection is known to be the turning over an object across a line and it is one where we do not need to change its size or shape.
While Translation is said to be sliding a figure into another direction and it is one where we do not need to change its size, shape or make.
The Translation and reflection matchup are given:
1. Translated left 5 units - y = 5⁻ ˣ ⁻ ⁵ 2. Translated right by 5 units - y= 5⁻ ˣ ⁺ ⁵3. Translated up by 5 units - y = 5⁻ˣ + 54. Translated down by 5 units - y = 5⁻ ˣ -5 5. Reflected across the x-axis - y= - 5 ⁻ ˣ6. Reflected across the y-axis -y = 5ˣSee full question below
Match each function formula with the corresponding transformation of the parent function y = 5-^x Please help ASAP!!
1. y = 5x
Translated left 5 units
2. y = 5–x + 5
Translated right by 5 units
3. y = 5–x – 5
Translated up by 5 units
4. y = 5–x+ 5
Translated down by 5 units
5. y = –5–x
Reflected across the x-axis
6. y = 5–x – 5
Reflected across the y-axis
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What is the domain of the function graphed below?
Answer:
The second option
Step-by-step explanation:
Hello!
The domain of a graph is the interval in which the graph is on the x values.
This graph has all the x values that are greater than or equal to -3, as the graph is to the right of it.
The answer would be the second option: \(D : x/x \geq -3\)
The range is the y-values of the graph. The y value of this graph is above 0, so it would be y ≥ 0
a poll shows that of all voters approve of the mayor's work. on three separate occasions a pollster selects a voter at random. what is the probability that on exactly one of these three occasions the voter approves of the mayor's work?
The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:
0.189 = 18.9%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of these parameters in the context of this problem are given as follows:
n = 3, p = 0.7.
Then the probability of exactly one success is calculated as follows:
P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.
Missing InformationThe proportion of voters that approve the mayor's work is of 70%.
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(Not a multiple choice question)
Please help!
Answer:
well your answer is right so what do u actually want?
Answer:
V = 1170 ft³
Step-by-step explanation:
the volume (V) of a pyramid is calculated as
V = Ah ( A is the area of the base and h the perpendicular height )
A = 18 × 13 = 234 ft² and h = 15 , then
V = \(\frac{1}{3}\) × 234 × 15 = 78 × 15 = 1170 ft³
Please factorize \(\ln ^2\left(4-x\right)+\ln \left(4-x\right)\ln \left(x+\frac{1}{2}\right)-2\ln ^2\left(x+\frac{1}{2}\right)=0\)
Answer:
[ln (4 - x) - ln (x + 1/2)] × [ln (4 - x) + 2 ln (x + 1/2)] = 0----------------------------------
Given equation:
ln² (4 - x) + ln (4 - x) ln (x + 1/2) - 2 ln² (x + 1/2) = 0Substitute:
ln (4 - x) = p, ln (x + 1/2) = qThen we have:
p² + pq - 2q² = p² - q² + pq - q² = (p + q)(p - q) + q(p - q) = (p - q)(p + q + q) = 0(p - q)(p + 2q) = 0Substitute back:
ln² (4 - x) + ln (4 - x) ln (x + 1/2) - 2 ln² (x + 1/2) = 0 [ln (4 - x) - ln (x + 1/2)] × [ln (4 - x) + 2 ln (x + 1/2)] = 0I need to know the answer
The compound interval for the given interval is (-∞, ∞).
What is compound inequality?A compound inequality is a combination of two inequalities that are combined by either using "and" or "or". The process of solving each of the inequalities in the compound inequalities is as same as that of a normal inequality but just while combining the solutions of both inequalities depends upon whether they are clubbed by using "and" or "or".
The given intervals are (-∞, -2] or [-3, ∞).
Now, the compound interval is (-∞, ∞)
Thus, the interval notation is -∞<x<∞
Therefore, the compound interval for the given interval is (-∞, ∞).
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Can anyone help me with this answer please!?
If r = 2 then substitute it for where r is in your given equation
New equation:
\(\dfrac{7(2)}{2}\)
\(\bf{7(2) = 14}\)
\(\dfrac{14}{2} = 7\)
\(\bf{Answer: 7}\) ☑️
Good luck on your assignment and enjoy your day!
\(\frak{LoveYourselfFirst:)}\)
In ΔKLM, the measure of ∠M=90°, the measure of ∠K=61°, and KL = 7. 5 feet. Find the length of MK to the nearest tenth of a foot
The length of side MK would be,
⇒ MK = 3.64 feet
We have,
In ΔKLM,
The measure of ∠M=90°,
The measure of ∠K=61°,
And, KL = 7. 5 feet.
Now, By given condition, we get;
cos 61 = MK/7.5
0.4848 = MK/7.5
MK = 3.64 feet
Therefore, The length of side MK would be,
⇒ MK = 3.64 feet
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Think of a time when you had a question in math class, did you ask it? If so, did it get answered? If you tend to not ask your questions, why do you think you hesitate to ask? Have you ever had someone else ask the same question you had? How did it make you feel? Relief?
Answer:
Step-by-step explanation: This week, I had a question in math class about the different types of angles, such as alternate interior angles theorem, alternate exterior angles, same-side interior angles, same-side exterior angles, corresponding angles, concurrent lines, perpendicular lines, and a few more types of angles about lines and knowing what matches to what type of angle. Yes, I did ask a few questions when I was confused about certain lines and how they have this angle, such as a concurrent line. Yes, my question was answered. I actually enjoy asking questions because if I don't learn what I'm confused about, how will I know how to improve and avoid making the same mistakes? Yes, I had someone else ask the same question I had before, whether it was something new learned in class or something confusing or difficult to learn. It made me feel relieved and grateful because I'm glad I wasn't the only one who was confused, and it makes it easier when someone else doesn't understand the same step, and challenges when learning new things. The questions we ask lead to new discoveries. Questions lead us to answers we never considered before we asked the question. Of course, one cannot simply ask question after question without considering possible answers. Many people, on the other hand, are afraid that by asking questions, they will appear weak, ignorant, or unsure. They are afraid that asking questions will place them in a negative light. Lastly, some people are so eager to get things done that they don't stop to ask questions because it might slow them down.
Solve for x in the following equations:
-8x -10y = -2 when y = -3
A) -3
B) -6
C) 4
D) -2
Step-by-step explanation:
A) = 54 so it is wrong
B) = 78 so it is wrong
C) = -2 so it is right!
No need to do D since we already found the correct answer.
I hope I helped! :)
PLEASE HELP!!!!! 2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)? 30 points if you can help
Answer:
22 units
Step-by-step explanation:
Known Quantities:
AB = CD and AC = BDCalculations:
AB = 8AC = 3CD = 8BD = 3Final Calculations:
perimeter = 2 x (3+8)perimeter = 22centimeters and its horizontal length is 3 meters. What calculation will give us the estimated length of the ramp in meters? Choose 1 answer: 302 (A 1 1002 + 32 B V302 + 32.1002 302. 1002 + 32 D 32 302 + 1002
DATA
Horizontal length = 3 meters
Height = 30 cm = 3/10 meters
Then procedure
Length of ramp in meters = √(Horizontal)^2 + Height^2)
Lenght of ramp = √(3/10)^2 + 3^2
Looking at
The polygons are similar but not necessarily drawn to scale.
If two polygons are similar, then they have the same shape but not necessarily the same size.
They can be either enlarged or reduced in size or reflected. Hence, even though the polygons are similar, they do not have to be drawn to scale.
The term scale refers to the ratio of any two corresponding lengths in two geometric figures, so if two figures are drawn to scale, the ratio of their corresponding lengths in the drawing is the same as the ratio of their corresponding lengths in the actual figures.
Therefore, if two polygons are similar but not drawn to scale, the drawing may not be an accurate representation of the actual figures, as the scaling information may not be consistent.
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Lisa's age is 4 yrs. older than three times Sammy's age. Lisa is 28 yrs. old. Let's represent Sammy's age.
Which equation can be used to solve for Sammy's age?
a.) 3s = 28
b.) s + 4 = 28
c.) 4s + 3 = 28
d.) 3s + 4 =28
Answer:
D
Step-by-step explanation:
So it'd be
28=3s+4
28-4=3s
24=3s
24/3=3s/3
8=2
Lisa = 28 yrs
Sammy = Lisa - 4 yrs
Sammy = 28 - 4 yrs
Sammy = 24 yrs
Sammy + 4 = Lisa
S + 4 = 28 ( B )
Match the graph with the correct equation
• y+2=(x-2)
•y+2= -(x-4)
•y+2= -(x+4)
•y-2= -(x-4)
Answer:
y + 2 = -(x-4)
Step-by-step explanation:
Here, we want to match the graph with the correct equation
the equation is generally in the form
y = mx + c since it is a straight line
Let’s start with c which is the y- intercept
c = 2 from the graph
Let’s find value of the slope using the end points
The end points at top and at bottom are as follows respectively;
(-8,10) and (10,-8)
So the slope is ; y2-y1/x2-x1 and that is ;
-8-10/(10-(-8) = -18/18 = -1
So the complete form of the line would be;
y = -1(x) + 2
y = -x + 2
or simply y = 2-x
So which of the options fit this answer?
That would be;
y+ 2 = -(x-4)
This can be written as;
y + 2 = -x + 4
y = -x + 4-2
y = -x + 2
Answer:(D) y + 2 = -(x-4)
Step-by-step explanation:
What is f (0) for the function f (x) = 2x + 3
Answer:
I want to say that the answer is 3.
Step-by-step explanation:
f(0) = 2x + 3 = 3
The value of \(f(0)\) is 3.
Given \(f (x) = 2x + 3\)
We have to calculate \(F(0)\) means putting the value of \(x=0\), we get
\(f(0)=2\times 0+3\)
\(f(0)=0+3\)
\(f(0)=3\)
Hence the value of \(f(0)\) is 3.
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