Answer: $51,800
Step-by-step explanation:
if the value increases by 10% every year, we can represent this as a linear function, in the form:
y = mx + b
y = [0.1(37,000)]x + 37,000
0.1 x 37000 represents the 10% increase per year, and x represents the number of years that have passed. we add 37,000 at the end to represent the original cost of the painting.
we can simplify the 0.1(37,000) to 3700, which is how much the painting's cost should increase per year. so our equation is:
y = 3,700x + 37,000
So, in 4 years, the painting will be worth:
y = 3,700(4) + 37,000
14,800 + 37,000
$51,800
3 sin ^2 x - 3 sin ^4 x =0
I assume you're just solving for x. Factorize the left side as
3 sin²(x) - 3 sin⁴(x) = 3 sin²(x) (1 - sin²(x)) = 0
Recall that
sin²(x) + cos²(x) = 1
so that the equation further reduces to
3 sin²(x) cos²(x) = 0
Also recall the double angle identity,
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
3/2² (2 sin(x) cos(x))² = 3/4 sin²(2x) = 0
Solve for x :
3/4 sin²(2x) = 0
sin²(2x) = 0
sin(2x) = 0
2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ
(where n is any integer)
2x = 2nπ or 2x = (2n + 1) π
x = nπ or x = (2n + 1)/2 π
Notice that this means the solution set is
{…, -2π, -3π/2, -π, -π/2, 0, π/2, π, 3π/2, 3π, …}
so we can condense the solution further to
x = nπ/2
with any integer n.
Please help it’s urgent
find the value of each expression 12a+c-b
Answer:
We need more info, take a picture of the qustion
Step-by-step explanation:
In quadrilateral wxyz, wc = 2x 5 and cy = 3x 2. what must x equal for quadrilateral wxyz to be a parallelogram? x =
For WXYZ to be a parallelogram, the value of x must be 3.
What is a parallelogram?A parallelogram is a quadrilateral in which opposite sides are parallel and equal to each other. Opposite angles are also equal to each other. In a parallelogram, diagonals bisect each other when they intersect each other.
In a parallelogram when diagonals intersect, they bisect each other.
So, WC and CY will be equal to each other
i.e. WC = CY
i.e. [tex]2x+5 = 3x+2[/tex]
[tex]2x-3x = 2-5[/tex]
[tex]-x=-3[/tex]
[tex]x=3[/tex]
Therefore, For WXYZ to be a parallelogram, the value of x must be 3.
To get more about parallelograms visit:
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Answer:
x=3
Step-by-step explanation:
E2020
If 9y^2-21+8 is written as p^2-7p+8, what is p in terms of y
The amount of medicine in a patient's bloodstream is shown by the function A(h)=600(0.75)^h, where h is the number of hours that have passed since the medicine was given.
A: The amount of medicine in the bloodstream increases by 25% each hour.
B: The amount of medicine in the bloodstream decreases by 25% each hour.
C: The amount of medicine in the bloodstream increases by 75% each hour.
D: The amount of medicine in the bloodstream decreases by 75% each hour.
The amount of medicine in the bloodstream decreases by 25% each hour.
Exponential equationThe standard exponential equation is expressed as:
y = ab^x
a is the initial amount
b is the rate
If b < 1, hence there is a declince
Given the expoenentia equation A(h)=600(0.75)^h,
b = 1 - r = 0.75
r = 1 - 0.75
r = 0.25
This shows that the amount of medicine in the bloodstream decreases by 25% each hour.
Learn more on exponential equation here: https://brainly.com/question/12940982
A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The test results (expressed as a percent) for the two groups are shown below. Studied: Did Not Study: Part 1: Calculate the mean of the group that studied, rounded to the nearest tenth. Part 2: Calculate the mean absolute deviation of the group that studied, rounded to the nearest tenth. Part 3: How many of the scores (from the group that studied) are within one mean absolute deviation of the mean.
The evaluation of the figures needed for the considered survey are:
The mean of the considered data is 1667/18 ≈ 92.61The mean of these 18 absolute deviations comes out as [tex]91.8/18 \approx 5.1[/tex]The number of scores which are within one mean absolute deviation of the mean is 10Suppose the data specified is of n sized as [tex]x_1, x_2, \cdots , x_n[/tex]
Let this data's mean be [tex]\bar{x}[/tex]
Then, the mean absolute deviation of this data is the mean of the absolute differences of the observations from the mean of the data they belong to.
It is calculated as:
[tex]M.A.D = \dfrac{\sum_{i=1}^n|x_i-\bar{x}|}{n}[/tex]
The data is missing from the problem statement, and is as shown below:
Studied: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89Calculating the needed figures part by part:
Part 1: Mean of the group that studied, rounded to the nearest tenth.
Mean is the sum of observations divided by number of observations.
The sum of 18 observations: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84
is 1667. Thus, its mean is 1667/18 ≈ 92.61 ≈ [tex]\bar{x}[/tex]
Part 2: The mean absolute deviation of the group that studied:
The absolute deviations of 18 observations: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84
from the mean [tex]\bar{x}[/tex] ≈ 92.61 are approx:
[tex]|92.61 - 88| = 4.6\\|92.61 - 100| = 7.4\\|92.61 - 94| = 1.4\\|92.61 - 79| = 13.6\\|92.61 - 92| = 0.6\\|92.61 - 100| = 7.4\\|92.61 - 95| = 2.4\\|92.61 - 83| = 9.6\\|92.61 - 89| = 3.6\\|92.61 - 99| = 6.4\\|92.61 - 100| = 7.4\\|92.61 - 91| = 1.6\\|92.61 - 89| = 3.6\\|92.61 - 95| = 2.4\\|92.61 - 100| = 7.4\\|92.61 - 93| = 0.4\\|92.61 - 96| = 3.4\\|92.61 - 84| = 8.6\\[/tex]
Their sum is 91.8 approx.
Thus, the mean of these 18 absolute deviations comes out as
[tex]91.8/18 \approx 5.1[/tex]
Part 3: The number of scores which are within one mean absolute deviation of the mean
The range within one absolute deviation of the mean is [tex][92.61 - m.a.d, 92.61 + m.a.d] = [92.61 - 5.1, 92.61 + 5.1] = [87.51, 97.71][/tex]
The values from the studied group which is in this range are:
88, 94, 92, 95, 89, 91, 89, 95, 93, 96
They are total 10 in counts.
Thus, the number of scores which are within one mean absolute deviation of the mean is 10
Thus, the evaluation of the figures needed for the considered survey are:
The mean of the considered data is 1667/18 ≈ 92.61The mean of these 18 absolute deviations comes out as [tex]91.8/18 \approx 5.1[/tex]The number of scores which are within one mean absolute deviation of the mean is 10Learn more about mean absolute deviation here:
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can someone help pls
Answer:
x = ± 5
Step-by-step explanation:
for the figure to be an isosceles trapezoid
then the lower base angles must be congruent , that is
3x² - 4 = 2x² + 21 ( subtract 2x² from both sides )
x² - 4 = 21 ( add 4 to both sides )
x² = 25 ( take square root of both sides )
x = ± [tex]\sqrt{25}[/tex] = ± 5
Answer:
x=5
Step-by-step explanation:
Here,
→[tex]2x^{2} +21=3x^{2} -4\\\\[/tex]
→[tex]21+4=3x^{2} -2x^{2} \\[/tex]
→[tex]x^{2} =25[/tex]
→[tex]x=\sqrt{25}[/tex]
→[tex]x=5[/tex]
Let's check whether they are equal or not by putting the value of x.
→[tex]2x^{2} +21[/tex]
→[tex](2*5^{2}) +21[/tex]
→[tex]50+21[/tex]
→[tex]71[/tex]
→[tex]3x^{2} -4[/tex]
→[tex](3*5^{2} )-4[/tex]
→[tex]75-4[/tex]
→71
Hence they are equal.
what is the distributive property for 34 (x - 1)?
Distribute the 34 to both the x and -1, and once you do that, your answer is 34x - 34
Answer:
34x - 34
Step-by-step explanation:
34(x - 1) ← multiply each term in the parenthesis by 34
= 34x - 34
PLEASE HELP ME
Which of the following is an irrational number?
A ✓5
B -2
C 1/2
D ✓9
Answer:
A ✓5 is the irrational number.
Step-by-step explanation:
Have a good day. :)
Hello.
A rational number can be expressed as a fraction.
Let's check if we can express the given numbers as fractions.
The first number is √5.
Can we express √5 as a fraction? No.
Why? Because √5=2.236...
We cannot express this number as a fraction.
Thus, √5 is irrational.
Let's check the other 3 numbers.
The second number is -2.
Can we express -2 as a fraction? Sure!
[tex]\displaystyle-\frac{2}{1}[/tex]
Thus, -2 is rational.
What about the third number?
Well, it's already a fraction.
Seems like Option A is the right option, huh? Well, let's check the last one as well.
The last one is √9.
9 does have a square root, unlike 5.
It equals 3:
√9=3
Let's express 3 as a fraction:
[tex]\displaystyle\frac{3}{1}[/tex]
Therefore, Option A is the right option ;)
I hope it helps.
Have a great day.
[tex]\boxed{imperturbability}[/tex]
Does the point (5, 7) lie on the line y = −3x + 22
Answer: No
Step-by-step explanation: the dot on the screenshot shows where (5,7) is
Answer:
Yes
Step-by-step explanation:
If you graph y=-3x+22 then it is on the line. (x is 5, y is 7)
Simplifies the expressions please!!!!!!!!
4x^3y^2 x 3x^6y^3/24x^11y^2
(3rs^2t^4)^2/21r^2s^3t^11
(10a^4b^6)(3a^5b^2) -7a^9b^8
(-5x^4y^7)^2 + 9x^8y^14
20 POINTS!!!!!
Answer:
In order:
[tex]\frac{y^{3}}{2x^{2}}[/tex]
[tex]\frac{9r^2s}{2t^{3}}[/tex]
[tex]23a^9b^8[/tex]
[tex]34x^8y^{14}[/tex]
Step-by-step explanation:
[tex]\frac{4x^3y^2 * 3x^6y^3}{24x^{11}y^2} \\\\\frac{12x^9y^5}{24x^{11}y^2} \\\\\frac{x^9y^5}{2x^{11}y^2} \\\\\\frac{y^5}{2x^{11-9}y^2} \\\\\frac{y^5}{2x^{2}y^2} \\\\\frac{y^{5-2}}{2x^{2}y^2} \\\\\frac{y^{3}}{2x^{2}}[/tex]
[tex](3rs^2t^4)^2/21r^2s^3t^11\\\\\frac{9r^2s^4t^8}{2s^3t^{11}} \\\\\frac{9r^2s^{4-3}t^8}{2s^3t^{11-8}} \\\\\frac{9r^2s}{2t^{3}}[/tex]
[tex](10a^4b^6)(3a^5b^2) -7a^9b^8\\\\30a^9b^8-7a^9b^8\\\\23a^9b^8[/tex]
[tex](-5x^4y^7)^2 + 9x^8y^{14}\\\\25x^8y^{14}+9x^8y^{14}\\\\34x^8y^{14}[/tex]
Hope this helps!
What is the z-score of a newborn who weighs 4,000 g?.
The z-score of the considered newborn having 4,000 g weight is [tex]\dfrac{4000 - \mu}{\sigma}[/tex]
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
For the considered case, the statement in the problem is missing the mean weight of the newborn and standard deviation of the data set of weights of newborn.
Thus, for them, we can consider variables in place of their actual values.
Let we have:
X = weights of newborns for some considered system (in grams)[tex]\mu[/tex] = mean weight of newborns (in grams)[tex]\sigma[/tex] = standard deviation of the data set of weights of newbornsThen, the z-score for X = 4000 is
[tex]z = \dfrac{x - \mu}{\sigma} = \dfrac{4000 - \mu}{\sigma}[/tex]
Thus, the z-score of the considered newborn having 4,000 g weight is [tex]\dfrac{4000 - \mu}{\sigma}[/tex]
Learn more about z-scores here:
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Answer:
The answer would be 1!
Step-by-step explanation:
I did the assignment.
edge 2022
Please help me with the first two questions!! I have the last one done already!
Suppose a local newspaper wishes to survey the voters of a city to project the results of the upcoming election for city mayor. The newspaper hires a team of statisticians who will randomly select 500 phone numbers from the city’s voter registration records to call between the hours of 8am and 4pm.
Which of these is an issue regarding the generalizability of the results?
Answer:
See below
Step-by-step explanation:
The condition that calls be made between 8am and 4pm will exclude anyone who leaves home for work or school during those hours, which are the most common work periods of the day. The sampling will consist primarily of home-keepers, babysitters, or students skipping class or doing homework, with an occasional worker who works the night shift and is upset with the call since it woke that person from sleep.
Solve for x :-
[tex] \: [/tex]
[tex]{ \large{ \rm{ \frac{7x + 14}{3} - \frac{17 - 3x}{5} = 6x - \frac{4x + 2}{3} - 5 }}}[/tex]
[tex] \rule{200pt}{5pt}[/tex]
We need to find value of x from the equation, so let write the equation first;
[tex]{:\implies \quad \sf \dfrac{7x+14}{3}-\dfrac{17-3x}{5}=6x-\dfrac{4x+2}{3}-5}[/tex]
Taking LCM both sides ;
[tex]{:\implies \quad \sf \dfrac{35x+70-(51-9x)}{15}=\dfrac{18x-(4x+2)-15}{3}}[/tex]
Multiplying both sides by 15 and simplifying ;
[tex]{:\implies \quad \sf 35x+70-51+9x=5(18x-4x-2-15)}[/tex]
[tex]{:\implies \quad \sf 44x+19=5(14x-17)}[/tex]
[tex]{:\implies \quad \sf 44x+19=70x-85}[/tex]
[tex]{:\implies \quad \sf 70x-44x=19+85}[/tex]
[tex]{:\implies \quad \sf 26x=104}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{104}{26}=\boxed{\bf 4}}[/tex]
Hence, The required answer is 4
Given: {(7x + 14)/3} - {(17 - 3x)/5} = 6x - {(4x + 2)/3} - 5
Asked: Find the value of x = ?
Explanation: Given equation is {(7x + 14)/3} - {(17 - 3x)/5} = 6x - {(4x + 2)/3} - 5
⇛{(7x + 14)/3} - {(17 - 3x)/5} = {(6x)/1} - {(4x + 2)/3} - (5/1)
⇛{(7x*5 + 14*5 - 17*3 + 3x*3)/15} = {(6x*3 - 4x*1 - 2*1 - 5*3)/3}
⇛{(35x + 70 - 51 + 9x)/15} = {(18x - 4x - 2 - 15)/3}
⇛{(35x + 9x + 70 - 51)/15} = {(18x - 4x - 2 - 15)/3}
⇛{(44x + 19)/15} = {(14x - 17)/3}
⇛[{1/15}(44x + 19)] = [{1/3}(14x - 17)}]
⇛{(44x + 19)/15} = {(14x - 17)/3}
Since (a/b) = (c/d) ⇛a(d) = b(c) ⇛ad = bc
Where, a = 44x + 19, b = 15
c = 14x - 17 and d = 3
On applying cross multiplication then
⇛3(44x + 19) = 15(14x - 17)
Multiply the numbers outside of the bracket with numbers in the bracket.
⇛132x + 57 = 210x - 255
Shift the variable value on LHS and constant value on RHS.
⇛132x - 210x = -255 - 57
Subtract the values on LHS and RHS.
⇛(-78x) = (-312)
Shift the number (-78) from LHS to RHS.
⇛x = {(-312)/(-78)
Simplify the RHS fraction to get the final value of x.
⇛x = 4/1
Therefore, x = 4
Answer: Hence, the value of x for the given problem is 4.
EXPLORE MORE:
Verification:
Check whether the value of x for the given problem is true or false.
If x = 4 then LHS of the equation is
{(7x + 14)/3} - {(17 - 3x)/5}
= [{7(4) + 14}/3] - [{17 - 3(4)}/5]
= {(7*4 + 14)/3} - {(17 - 3*4)/5}
= {(28 + 14))3} - {(17 - 12)/5}
= (42/3) - (5/5)
= (42/3) - 1
= (42/3) - (1/1)
= {(42 - 1*3)/3
= {(42 - 3)/3}
= (39/3)
= 13/1
= 13
And RHS = 6x - {(4x + 2)/3} - 5
= 6(4) - [{4(4) + 2}/3] - 5
= 24 - {(16 + 2)/3} - 5
= 24 - (18/3) - 5
= 24 - (6/1) - 5
= (24/1) - (6/1) - (5/1)
= (24*1 - 6*1 - 5*1)/1
= (24 - 6 - 5)/1
= (24 -11)/1
= 13/1
= 13
On comparing with both the sides, we notice that LHS = RHS is true for x = 4
Hence, verified.
also read similar questions: Solve 5/6 (4x + 8) = 3/8 x - 1/4 using algebraic operations.
Solve the equation: 5(3p - 5) + 4p = 5p - 6( p + 4)....
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12. Solve the simultaneous equations.
2x + 3y = 10
3x + 5y = 17
Answer:
[tex]x = -1[/tex], [tex]y = 4[/tex]
Step-by-step explanation:
[tex]2x + 3y = 10[/tex]
[tex]3x + 5y = 17[/tex]
By using substitution:
[tex]2x + 3y = 10[/tex]
[tex]2x = -3y + 10[/tex]
[tex]x = -\frac{3}{2} y + 5[/tex]
[tex]3x + 5y = 17[/tex]
[tex]3 (-\frac{3}{2}y + 5) + 5y = 17[/tex]
[tex]\frac{1}{2} y + 15 = 17[/tex]
[tex]\frac{1}{2} y = 2[/tex]
[tex]y = 4[/tex]
[tex]x = -\frac{3}{2}y + 5[/tex]
[tex]x = -\frac{3}{2} (4) + 5[/tex]
[tex]x = -1[/tex]
3. Find the area.
I don’t know how to solve this
Answer:
50.24 cm^2
Step-by-step explanation:
r=4, so the answer is 16π. replacing π with 3.14 to get 50.24 cm^2
The following equation cannot be solved symbolically. Solve the equation graphically. Round to the nearest hundredth as needed.
3x+ex=3
Lexi did 4/10 of her homework after school she played outside for 30 minutes she then did 3/10 more of her homework what decimal shows the amount of homework Lexi has finished
Answer:
0.7
Step-by-step explanation:
4/10 + 3/10 = 7/10
7/10 as a decimal is 0.7
Answer: 0.7
Hurry please!
What is the slope of a line parallel to the line whose equation is 2 – 2y = 4. Fully
simplify your answer.
Answer:
The slope of the given line and a line parallel to it is
5
2
.
Explanation:
Given:
5
x
−
2
y
=
11
is the standard form of a linear equation.
A line parallel to this line has the same slope. To determine the slope, solve for
y
to change the equation to slope-intercept form:
y
=
m
x
+
b
,
where:
m
is the slope and
b
is the y-intercept.
5
x
−
2
y
=
11
Subtract
5
x
from both sides.
−
2
y
=
−
5
x
+
11
Divide both sides by
−
2
.
y
=
−
5
−
2
x
+
11
−
2
Simplify.
y
=
5
2
x
−
11
2
The slope of the given line and a line parallel to it is
5
2
.
tan 30 degrees = x/7
please explain how to solve
[tex]tan(30) = (\frac{x}{7} )\\x = 7*tan(30)[/tex]
After this step, find the button on your calculator that says 'tan' and type n 30 degrees, then press enter or the equal sign or whatever button you press to calculate.
You should get that tan(30) = 0.5774
Now plug that back into the equation
[tex]x = 7 * 0.5774 = 4.0415[/tex] (approximated)
Hope that helps!
Step-by-step explanation:
rewrite the equation as x/7 = tan (30).
x/7= tan (30)
multiply both sides of the equation by 7 .
7•x/7=7• tan (30)
simplify both sides of equation x=7π3/3
the result can be shown in multiple forms exact forms x=7π3/3
decimal form x=404145188...
TAN (30) =X/7
I have a question which stubs my toe could someone solve this for me so I understand how to get the domain and range.
Let f be a function defined on [−1,3] such that f (n) = 2n - 1
- Plot the graph of f
- What is this function’s domain and range?
Step-by-step explanation:
Domain tells us all the possible x values or inputs of a function.
Here the input is n.
The domain here is defined on the interval [-1,3) so the domain can be notated in 3 ways.
Interval Notation: [-1,3]
Words: All inputs that is between -1 and 3, exclusively.
Sign Notation:
[tex] - 1 \leqslant x \leqslant 3[/tex]
The Range of a function is possible y values or outputs of a function.
For the range, plug in x values to find the y values.
Since the range in this problem, is only defined for -1 to 3. Plug in -1 for n in the function.
[tex]2( - 1) - 1 = - 3[/tex]
[tex]2(3) - 1 = 5[/tex]
So the range of is
[-3,5]
Or could be stated
All outputs between -3 and 5 exclusively
[tex] - 3 \leqslant x \leqslant 5[/tex]
Here's a graph. Look Above
Graph the following quadratic equation
f (x) = x² - 4x + 3
Answer:
Step-by-step explanation:
I need help it's due in 2 hours I'm confused on the last question. I mainly need help with knowing what to do with y=-1
Answer: I am not sure exactly what you need as there is no context
-> See attached for graph
-> They intersect at point (2, -1)
Step-by-step explanation:
To answer your question of "I mainly need help with knowing what to do with y=-1" you will graph it as you do with y = - [tex]\frac{5}{2}[/tex]x + 4.
Any y = something equation will be a horizontal line. There is no slope, the "mx" chunk, so the line stays straight. You will put a dot at (0, -1) and draw a line straight from that point.
For y = - [tex]\frac{5}{2}[/tex]x + 4, place a dot at (0, 4) and then count down 5 units and 2 units to the right to place another dot. Then draw a line through these two dots and extend it beyond to create the line.
Step-by-step explanation:
Hope this is helpful
y=-1 is nothing but it's the y value by using that we have to find the x value
y is directly proportional to x²
If y = 108 when x = 3 find
x when y = 300
Hucts
Active
Missy estimated that the product of 4.5 and 11.91 is 5 x 12, or 60. Is her estimate an underestimate or an overestimate?
overestimate
O underestimate
Answer:
overestimate
Step-by-step explanation:
The actual numbers are 4.5 and 11.91.
She used 5, which is greater than 4.5 and 12 which is grater than 11.91, so her estimate is an overestimate.
Answer: overestimate
The resting heart rates for 80 women aged 46–55 in a simple random sample are normally distributed, with a mean of 71 beats per minute and a standard deviation of 6 beats per minute. assuming a 90% confidence level (90% confidence level = z-score of 1.645), what is the margin of error for the population mean? remember, the margin of error, me, can be determined using the formula m e = startfraction z times s over startroot n endroot endfraction. 0.66 1.10 1.31 1.73
The margin of error for the population mean for the 90% confidence level is 1.10.
What is the margin of error?The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The wider the margin of error, the less confident one should be that a poll result reflects the outcome of a population-wide survey.
It is given by the formula:
[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}[/tex]
As the mean is given to us is 71 beats and the standard deviation is 6 beats, therefore, the margin of error for 90% confidence level can be written as,
[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}\\\\\text{MOE}_{\gamma}=1.645 \times \sqrt{\dfrac{6^{2}}{80}}\\\\\text{MOE}_{\gamma}=1.645 \times \sqrt{\dfrac{36}{80}}\\\\\text{MOE}_{\gamma}=1.1034\approx 1.10[/tex]
Hence, the margin of error for the population mean for the 90% confidence level is 1.10.
Learn more about the Margin of error:
https://brainly.com/question/13990500
Answer:
B on edge
Step-by-step explanation:
Isabella and her cousin Rodrigo have the same birthday, but Isabella is 15 years
older than Rodrigo. The equation y = x + 15 represents Isabella's age, y, when
Rodrigo is x years old. Which table of values shows this relationship?
X
0
15
1
16
2
17
3
18
у
Х
у
0
16
1
17
2
18
3
19
Х
у
0
0
1
15
2
30
3
45
х
у
0
15
1
30
2
45
3
60
Answer:
The first graph
Step-by-step explanation:
*View attached graph*
Hope this helps!
Determine the missing side length.