Answer:80% - 70%
Step-by-step explanation:
If the margin for the error is 5% im guessing that means 5% backwards or forwards so i believe that my answer is correct
ps if im right brainliest please
The percentage range that reflects the population's true response, considering the margin of error, is from 70% to 80%.
Given, a margin of error of 5%, we can determine the range that reflects the population's true response.
To find the range, we consider the maximum and minimum values within the margin of error.
Maximum Value: 75% + 5% = 80%
Minimum Value: 75% - 5% = 70%
Therefore, the percentage range that reflects the population's true response, considering the margin of error, is from 70% to 80%.
This means that we can be 95% confident that the actual percentage of people who would buy the product again lies within this range.
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A
Given:
O HA
ZC, ZF are rt. Z's; AC= DF, BC= EF
O LA
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B D.
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Answer: your question is not very clear
Step-by-step explanation:
What is the color red?
Answer:
red im pretty sure
if 17% of men are bald, what is the probability that at most 140 in a random sample of 900 men are bald? use normal to binomial
If 17% of men are bald, then the probability that at most 140 in a random sample of 900 men are bald, is 0.1335.
In the given question, if 17% of men are bald, then we have to find the probability that at most 140 in a random sample of 900 men are bald.
As given that; 17% of men are bald.
So,p=0.17
Let X=Number of men that are bald
Sample size, n=900
Here X follows binomial distribution with parameters n= 900 and p =0.17
Since np≥5 and n(1-p)≥5, We can use normal approximation to the binomial with continuity correction.
So,Binomial can be approximated to normal with;
mean, μ=np
μ = 900*0.17
μ = 153
Standard deviation, σ = √np(1-p)
σ = √900*0.17*(1-0.17)
σ = √153*0.83
σ = √126.99
σ = 11.269
So, X→Normal (μ = 153, σ = 11.269)
Then, X= (X-μ)/σ
X=(X-153)/11.269
We need to find the probability that at most 140 in a random sample of 900 men are bald i.e. we need to find P(X≤140)
P(X≤140) =P(X<140+0.5) [using continuity correction factor]
P(X≤140) =P(X<140.5)
P(X≤140) =P(z<(X-153)/11.269)
P(X≤140) =P(z<(140.5-153)/11.269)
P(X≤140) =P(Z<-1.11) [z score rounded to 2 decimal places]
P(X≤140) =0.1335
Hence, if 17% of men are bald, then the probability that at most 140 in a random sample of 900 men are bald, is 0.1335.
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(9 * 6) * 1 = 3 operations
Answer:
53
Step-by-step explanation:
PEMDAS
Parenthesis
multiply the numbers
Divide
Add
Subtract
In a city with an 8.5% tax rate, what would be the total cost for a $66.00
An arts academy requires there to be 4 teachers for every 72 students and 3 for every 30 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 60 students?
1. The students that the academy have per teacher is 18.
2. The students per tutor will be 10.
3. The tutors that the academy need if it has 60 students is 6 tutors.
How to calculate the number of students?Given that the arts academy requires there to be 4 teachers for every 72 students and 3 for every 30 students.
The students that the academy have per teacher will be:
= Number if students / Teacher
= 72/4
= 18 students per teacher.
The students per tutor will be:
= 30/3
= 10 students per tutor
The number of tutors for 60 students will be:
= 60 / 10
= 6 tutors.
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A car is sold for $80, 000. Every year it loses 1/4 of its value.
a. Write an equation to represent the value of the car after 1 year.
b. Write an equation to represent the value of the car after t years.
A=P(1+ r/n)^n•t
An equation to represent the value of the car after 1 year is P(t) = 80,000(1 - 0.25)¹.
An equation to represent the value of the car after t years is P(t) = 80,000(1 - 0.25)^t.
How to write this equation?Generally speaking, a physical asset that loses its value at specific period of time represent an exponential decay. Therefore, a mathematical model for any physical asset (car) that decreases by r percent per unit of time is an exponential equation of this form:
P(t) = I(1 - r)^t
Where:
P(t ) represents the value of car in dollars.t represents the time or number of years.I represents the initial value of car.r represents the decay rate.Note: 1/4 is equal to 0.25.
For a car that loses 1/4 of its value annually, after 1 year its value is given by;
P(t) = 80,000(1 - 1/4)^1
P(t) = 80,000(1 - 0.25)¹
For a car that loses 1/4 of its value annually, after t year its value is given by;
P(t) = 80,000(1 - 0.25)^t
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5pts and who ever get this right gets brainliest
Answer:D is incorrect
Step-by-step explanation:
D is the only one that is incorrect because D is 9x-81
Answer:
(d) 9(x -9)
Step-by-step explanation:
You want the expression that is not equivalent to the other three.
Simplified expressionsThe simplified versions of the expressions are ...
9(x -1) = 9x -99x -92x -4 +7x -5 = (2+7)x +(-4 -5) = 9x -99(x -9) = 9x -81 . . . . . . . not equivalent to the othersThe expression not equivalent to the other three is 9(x -9).
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let m be the number of five-element subsets that can be chosen from the set of the first 14 natural numbers so that at least two of the five numbers are consecutive. find the remainder when m is divided by 1000.
We have (123) different possibilities. Therefore, we can derive from the multiplication principle that there are 13(123) ways.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin.
The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half .
According to our question-
Let n be the maximum number of subsets of five elements that can be selected from the first 14 natural numbers,
with at least two of the five numbers being consecutive.
I have made a block of two consecutive numbers (like (1,2),(2,3),(13,14) etc.).
Now we can choose this block in 13 ways. Now we have to choose 3 numbers from the rest 12 numbers.
Hence, multiplication principle we come to know that there are 13×(123).
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The sum of 4 times a number and 2 is two times the number minus 8. What is the number?
Answer:
Step-by-step explanation:
The word "Sum" = addition.
"A number" = the unknown, aka 'x'.
"Is equal to" is =.
Go piece by piece. I will set your equation exactly as it is worded as you read it. Follow along:
4x + (-2) = 5x + (-2)
Imagine there is a "1" infront of the parenthesis around the -2. A positive * a negative always = negative. So.
suppose a department store wants to estimate the average age of the customers of its contemporary apparel department, correct to within 2 years, with level of confidence equal to 0.95. management believes that the standard deviation is 8 years. the sample size they should take is .
By using the formula for sample size, it can be calculated that the sample size is 62
What is sample?
At first it is important to know about population.
Population is the group of items from where samples are taken for study and research and for statistical purpose
A subset of population is called sample.
Here, margin of error E = 2
Value of z for 95 % confidence interval = 1.96
Standard deviation = 8
Sample size = [tex](\frac{1.96 \times 8}{2})^2[/tex] [tex]\sim[/tex] 62
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please help me due in 10 min
Answer: A = 2(x+3y)+2z=2z+4x+2y
B=2(x+3y)=4x+2y
c=x+3y=2x+y
d=2y=x
Step-by-step explanation:
Answer:
2y=x:D
x+3y=2x+y:C
2(x+3y)=4x+2y:B
2(x+3y)+2z=2z+4x+2y
Step-by-step explanation:
D is the only possibility for 2y=x because it has 3 total. Similarly for C. B only has two different types, so it must be 2(x+3y)=4x+2y.
A particle of mass mm moves in the plane with coordinates ( x ( t ) , y ( t ) )(x(t),y(t)) under the influence of a force that is directed toward the origin and has magnitude k / \left( x ^ { 2 } + y ^ { 2 } \right)k/(x 2 +y 2 )—an inverse-square central force field.
An inverse-square central force field is [tex]mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\[/tex].
From Newton's second law of motion,
mass × acceleration = Force acting on the mass
Resolving the force F along x and y directions and applying Newton's second law of motion,
Using,
[tex]r = \sqrt{x^2+y^2}[/tex]
Therefore,
[tex]m\frac{d^2x}{dt^2} =-|F|cos \theta[/tex]
[tex]mx^{''} = -\frac{k}{x^2+y^2} \frac{x}{\sqrt{x^2+y^2} } \\\\mx^{''} = - \frac{kx}{(x^2+y^2)^\frac{3}{2} }\\ \\mx^{''} = - \frac{kx}{r^3}[/tex]
Where [tex]r = \sqrt{x^2+y^2}[/tex]
and cosθ = [tex]\frac{x}{\sqrt{x^2+y^2} }[/tex]
Similarly using,
[tex]r = \sqrt{x^2+y^2}[/tex]
we get,
[tex]m\frac{d^2y}{dt^2} = -|F|sin\theta[/tex]
[tex]mx^{''} = -\frac{k}{x^2+y^2} \frac{x}{\sqrt{x^2+y^2} } \\\\mx^{''} = - \frac{kx}{(x^2+y^2)^\frac{3}{2} }\\ \\mx^{''} = - \frac{kx}{r^3}[/tex]
Where [tex]r = \sqrt{x^2+y^2}[/tex]
and sinθ = [tex]\frac{y}{\sqrt{x^2+y^2} }[/tex]
Therefore we showed that holds
[tex]mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\[/tex]
Hence the answer is an inverse-square central force field is [tex]mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\[/tex].
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what is the remainder when the positive integer n is divided by the positive integer k, where k > 1 ? (1) n
n=(K+1)^3 the remainder when the positive integer n is divided by the positive integer k, where k > 1
What is Remainder?
The value remaining after division is known as the Remainder. After division, we are left with a value if a number (dividend) cannot be divided entirely by another number (divisor). The remaining is the name for this amount.
For instance, 10 is not precisely divisible by 3. We can calculate 3 x 3 = 9 because that is the closest value.
As a result, 10 3 3 R 1, where 1 is the remainder and 3 is the quotient.
As we are aware:
Dividend: Divisor x Quotient + Remainder
Therefore,
Dividend - Remainder (Divisor x Quotient)
The formula for the remainder is as follows.
[tex]n=(k+1)^3\\\\=k^3+3k^2+3k+1\\\\=k(k^2+3k+3)+1=(k+1)^3\\\\=k^3+3k^2+3k+1=k(k2+3k+3)+1 \\\\[/tex]
[tex]k(k^2+3k+3)[/tex] is clearly divisible by k, because 1 divided by k gives 1 as the result (since k > 1).
The remainder will be n= (K+1)^3
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Which equation could generate the curve in the graph below?
Answer:
(Not accurate because I'm estimating amounts) y = ((x-2)/2)^2 + 4
Step-by-step explanation:
Scales horizontally by 2, Shifts up 4, right 2
1. A local zoo had 750 visitors on Saturday. If
20% of the guests traveled from out of town,
how many local guests visited the zoo on
Saturday?
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
The number of local guests who visited the zoo is 600.
What is a percentage?
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Total number of visitors = 750
The percentage that visited the zoo.
= 100% - 20%
= 80%
Now,
The number of local guests who visited the zoo.
= 80% of 750
= 80/100 x 750
= 600
Thus,
The number of local guests who visited the zoo is 600.
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Please answer! Question is below! Thanks!
Answer:
y=4x+4
Step-by-step explanation:
slope intercept form is y=mx+b
m is slope
B is y intercept
To find slope we use y2-y1/x2-x1
16-(-4)/3-(-2)
20/5
4 is the slope
We can fill this in
y=4x+b
To find b we fill in any coordinates
-4=4(-2)+b
-4=-8+b
+8. +8
4=b
Now we can fill it in
y=4x+4
Hopes this helps please mark brainliest
what is the sum of the infinite geometric series?25 minus 10 plus 4 minus eight fifths plus continuing the series diverges.
Answer:
Geometric Sequence
Finding the sum
The sum of the infinite geometric series 3/4 -9/16+27/64 -81/256+ ...is 3/7.
Solution:
Geometric Series Sum Formula: S = a₁/1 - r
Given: a₁ = 3/4
a₂ = -9/16
a₃ = 27/64
a₄ = -81/256
1. Find the common ratio.
a_n = a₁r ⁿ ⁻ ¹
a₂ = a₁r ⁿ ⁻ ¹
-9/16 = 3/4 r ² ⁻ ¹
-9/16 = 3/4 r
2. Divide both sides of the equation by 3/4 to find r.
-9/16/3/4 = 3/4 r/3/4
(-9/16)(4/3) = r
-36/48 = r
-3/4 = r
3. Using r = -3/4, find the sum of the infinite geometric series 3/4 -9/16 +27/64 -81/256+ ...
S = a₁/1 – r
S = 3/4/1 – (-3/4)
S = 3/4/1 + ¾
S = 3/4/4/4 + 3/4
S = 3/4/7/4
S = (3/4)(4/7)
S = 12/28
S = 3/7
4. Therefore, the sum of the infinite geometric series 3/4 -9/16+27/64 -81/256+ ...is 3/7.
Definition:
A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant while the sum of an infinite number of terms in a geometric sequence is called sum to infinity.
Code: 10.3.1.1
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Step-by-step explanation:
Equations with variables on both sides that equal 19
An equation with variables on both sides that equal 19 is x - 2 = 17.
What is an equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign
Based on the information, the equation will be:
x - 2 = 17
Collect like terms
x = 17 + 2
x = 19
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What is the distance between the points (11,19) and (11,-6) in the coordinate plane?
Answer: 25 units
Step-by-step explanation:
distance with negatives is still an addition but you have to turn the negative into a positive to get the answer.
Determine which integer in the solution set will make the equation true. 8x − 4 = 2(2x + 4)
S: {−4, 0, 3, 12}
Solving the equation 8x − 4 = 2(2x + 4) the required integer to make the equation true is 3
How to find the integerThe integer required to be found is solved as follows
The given equation is 8x − 4 = 2(2x + 4)
solving for x
8x − 4 = 2(2x + 4)
8x - 4 = 4x + 8
collecting like terms
8x - 4x = 8 + 4
4x = 12
dividing through by 4
x = 3
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Can someone help? Solve for a given that the height of the triangle is 3 centimeters and each of the legs are 6 centimeters. I also need the centimeters please !!
Answer:
6√3 centimeters
Step-by-step explanation:
This is an isosceles triangle because two of the sides are the same. We can divide this into two triangles to make two right triangles, and use the Pythagorean theorem. The base (a) will be divided by 2.
Pythagorean theorem: a^2 + b^2 = c^2
a and b are the legs of the triangle. c is the hypotenuse.
Let's replace the variables with the given information we know.
The hypotenuse is 6. One of the legs is 3. the other leg is a/2.
3^2 + b^2 = 6^2
9 + b^2 = 36
b^2 = 27
b = √27 = 3√3
Since this was for half of the base, we will multiply it by 2.
3√3 x 2 = 6√3
That is our answer.
I hope this helps.
Ernesto guesses there are 69 marbles in a jar, but there are actually 60.
What is the percent error in Ernesto's guess?
Answer:
15%
Step-by-step explanation:
Since the problem is to find how much 69 is as a percent if 60 is 100%, we can use a rule of three, simple, direct proportion to do it:
60 = 100%
68 = x
x = 69x100/60
x = 115
That means 69 is 115% of 60, which means that the error is of:
115 - 100 = 15%
Hope this helps, have a great day! :D
What is the equation of a line that has a
3/4
slope of and an x-intercept of 0?
A y=0
B y=3/4
C y=3/4x
D y=x+3/4
Answer: C
Step-by-step explanation: This is because there is no y - intercept. But since there is still a slope an x but be next to the 3/4. Which represents the rate of change.
I got the rest of the answers just stuck on these two
The slope for the first table will be;
⇒ m = - 4/3
The slope for the second table will be;
⇒ m = 1 / 4
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
There are two table is shown in figure.
Now,
For first table;
Two points are,
⇒ (x, y) = (3, -6) (0, - 2)
Since, The slope of the line passing through the points (x₁ , y₁) and
(x₂, y₂) will be;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
Hence, Slope for first table;
⇒ m = (- 2 - (-6)) / (0 - 3)
⇒ m = (- 2 + 6) / (-3)
⇒ m = - 4/3
And, For second table;
Two points are,
⇒ (x, y) = (0, -3) (4, - 2)
Since, The slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) will be;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
Hence, Slope for second table;
⇒ m = (- 2 - (-3)) / (4 - 0)
⇒ m = (- 2 + 3) / (4)
⇒ m = 1 / 4
Thus, The slope for the first table will be;
⇒ m = - 4/3
The slope for the second table will be;
⇒ m = 1 / 4
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Donnie, Karim, and Shawn run on the cross-country team. At yesterday’s practice, Donnie ran 200% as far as Karim. The ratio of the distance that Karim ran to the distance that Shawn ran is 4 : 3.
If you add the distance that all three boys ran, you get a sum of 45 miles. How far did each boy run individually?
this is ratio problem
The distance that each boy ran is as follows:
Donnie = 24 miles
Karim = 12miles
Shawn = 9 mile.
What is ratio?Ratio is defined as an expression that is used to represent the part of a whole entity or structure.
The total distance covered by the three boys = 46miles.
Distance covered by Donnie = 200% of Karim (ratio 4)
That is;
200/100×4 = 8
Now the ratio of the three boys = 8:4:3
To calculate the distance of each boy is by finding the total ratio of the whole boys such as:
= 8+4+3 = 15
For Donnie = 8/15×45 = 24 miles
For Karim = 4/15×45 = 12 miles
For Shawn = 3/15 × 45 = 9 miles
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we want to construct a 99% confidence interval for the proportion of people who will vote 'yes' on a ballot question in the next election. how many people should we sample to construct such an interval with a margin of error of 3%?
The sample size should be 1843 at 99% confidence level with margin of error of 3%.
What is Inferential statistics?
By studying the samples that were drawn from the population data, inferential statistics aids in the development of a solid knowledge of the data. By utilising numerous analytical techniques, it aids in the creation of population-level generalisations.
Given, Margin of error (m) = 0.03
z (at 99% confidence level)=2.576
We know that, Sample size(n) = (z/m)^2 p (1-p)
In order to find the sample size, we must know the value of proportion.
here, the value of proportion is missing so, in the absence of proportion, we will consider it as 0.5.
Now, we've p = 0.5
∴ Sample size = (z/m)^2 p (1-p)
= (2.576/0.03)^2 × 0.5 × (1-0.5)
= 1843 (approx).
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Fill in the table using this function rule.
y=3x+1
X
2
3
6
7
X
y
0
0
0
S
Answer:
y={7,10,19,22}
Step-by-step explanation:
3(2)+1 = 6+1 = 7
3(3)+1 = 9+1 = 10
3(6) + 1 = 18+1 = 19
3(7) + 1 = 21+1 = 22
Elouise and Marcus are 20km apart.
There is a lake due west of Elouise that is also 10√3 km due north of Marcus.
Work out the bearing of Marcus from Elouise
Elouise and Marcus are 20 km apart. There is a lake due west of Elouise that is also 10√3 km due north of Marcus, so 22.36 km distance the bearing of Marcus from Elouise.
What is Pythagoras theorem?According to the Pythagoras theorem, the square of the hypotenuse of a right-angled triangle equals the sum of the squares of the other two sides. The formula for this theorem is c² = a² + b², where c is the hypotenuse and a and b are the triangle's two legs. Pythagoras theory triangles are another name for these triangles.
At first assume a triangle, In the triangle, assume Elouise at the point A and Marcus at the point B, and the lake at the C point.
Given that,
Elouise and Marcus are 20 km apart (AB)
There is a lake due west of Elouise that is also 10√3 km due north of Marcus (BC)
Now, according to a Pythagoras theorem,
(AC)² + (AB)² = (BC)²
or, (AC)² = (BC)²- (AB)²
or, (AC)² = (10√3)² - (20)²
or, AC = [tex]\sqrt{500}[/tex]
or, AC = 22.36 km
So, distance bearing of Marcus from Elouise is 22.36 km.
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576,000 in science notation
Answer: 5.76 x 10 to the 5th