Answer:
The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.
Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{294.67}{\sqrt{1744}} = 18.17[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 434.49 - 18.17 = $416.42
The upper end of the interval is the sample mean added to M. So it is 434.49 + 18.17 = $452.66
The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.
If you constructed a 90% confidence interval instead, would it be smaller or larger? What is the intuition?
For a 90% confidence interval, we would have z = 1.645.
Looking at the margin of error formula, M and z are direct proportional, that is, as z decreases so does M. Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.
The line of best fit for the graph above has the equation
y = -3x + 2. What value does the line predict when x = 9?
Answer:
y = -25
Step-by-step explanation:
The equation of line is given as :
y = -3x + 2
We need to find the value when x = 9.
Put x = 9 in the given equation. So,
y = -3(9)+ 2
= -27+2
= -25
So, the value of line is equal to -25.
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
4 part question help me pls 100 points
In the diagram, if x =17, what is M In the diagram
if x =35, what is the measure of Arc FE?
If x = 35 what is the measure of Arc EGI?
If the measure of Arc GH = 38, what is the measure of Arc EI?
9514 1404 393
Answer:
there is no M in the diagram145°325°104°Step-by-step explanation:
EG and IF are assumed to be diameters of the circle. The measures of the two arcs created by a diameter are 180°.
1. There is no M
__
2. arc EF = arc EG -arc FG = 180° -35°
arc EF = 145°
__
3. Angle EDI is a vertical angle to angle FDG, so has the same measure: 35°. Long arc EGI will be 360° minus the measure arc EI
arc EGI = 360° -arc EI = 360° -35°
arc EGI = 325°
__
4. Arc Gi is double the measure of arc GH, so is 38°×2 = 76°. Arc EI is the supplement to this:
arc EI = 180° -arc GI = 180° -76°
arc EI = 104°
A recipe for 1 batch of cookies calls for 3/4 cup of flour. How much flour is required to bake 1 1/2 batches of cookies?
Answer:
1 1/8 cups of flour are required to bake 1 1/2 batches of cookies.
Step-by-step explanation:
Given that a recipe for 1 batch of cookies calls for 3/4 cup of flour, to determine how much flour is required to bake 1 1/2 batches of cookies, the following calculation must be performed:
3/4 = 0.75
1/2 = 0.5
1 = 0.75
1.5 = X
1.5 x 0.75 / 1 = X
1.125 = X
0.125 = 1/8
Thus, 1 1/8 cups of flour are required to bake 1 1/2 batches of cookies.
PLS HELP I HAVE BEEN ASKING FOR 4 DAYS IM JUST GETTING BAD ANSWERS I WILL GIVE BRAINLIEST. IM ABOUT TO FAIL :((((((((((((((
Answer:
29 day) $15.00
30 day $15.00
31 day $15.00
The cost was the same for all three days
Step-by-step explanation:
Rover = 3/4 can
Bobo = 1/2 can
29(3/4) + 29(1/2) = 21.75 + 14.5 = 36.25 cans
36.25/3 = 12.08
must buy 4 packs of 3 at $5.00 each = $15.00
30(3/4) + 30(1/2) = 22.5 + 15 = 37.5 cans
37.5/3 = 12.5
must buy 4 packs of 3 at $5.00 each = $15.00
31(3/4) + 31(1/2) = 23.25 + 15.5 = 38.75 cans
38.75/3 = 12.92
must buy 4 packs of 3 at $5.00 each = $15.00
30 POINTS FOR BRAINLIEST ANSWER!!!!!!!
The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
Hello!
It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.
[tex]a^2+b^2=c^2[/tex]
We can set the length of a leg as an unknown variable [tex]x[/tex].
[tex]x^2+4^2=(3x)^2[/tex]
Remember that it is the whole [tex]3x[/tex] term being squared, meaning that it'll simplify to [tex]9x^2[/tex], not [tex]3x^2[/tex].
[tex]x^2+16=9x^2[/tex]
[tex]8x^2=16[/tex]
[tex]x^2=2[/tex]
[tex]x=\sqrt{2}[/tex]
This means we can plug back in to find the sides.
The hypotenuse would be [tex]3\sqrt{2}[/tex], or 4.2.
And the legs would be 1.4 and 4, respectively.
Hope this helps!
(-247.43)(-5) = (-1)(247.43)-1)(5)
Part G
Next, rewrite the expression by grouping the-1s and grouping the numbers that are not -1s.
Answer:
(-1)(247.43)(-1)(5) = (-1)(-1)(247.43)(5)
Step-by-step explanation:
key answer
If A is an event that will never happen, then P(A)=
Answer:
0
Step-by-step explanation:
If A is an event that will never happen, then P(A)=0
“Finding side lengths and angle measures of isolceles and equilateral triangles”
help pls !
Answer:
a) 100
b) 7
Step-by-step explanation:
Remember that angle measurements correspond to side lengths. This also means that if two sides or angles are congruent, then the angle or side opposite of them will also be congruent. For example, in part a two sides are both 6. This means that the angles opposite of them are also both 40. Finally, to find <K subtract 80 (because that is 40+40) from 180. Therefore, the answer is 100 degrees.
Next, remember that the markings on the angles in part b mean that the angles are congruent. Since all the angles are congruent, the sides must be as well. So HI=7.
Nora measured a community college and made a scale drawing. She used the scale 3 millimeters : 2 meters. If a building at the college is 96 millimeters wide in the drawing, how wide is the actual building?
Answer:64 Meters
Step-by-step explanation:
please help its hard ty
Answer:
This is actually easy.
You need to multiply the term outside the bracket with the ones in the bracket (I hope I make sense lol)
Answer is 50 + 10n
Helpppppppppppppppppppp
7 1/3 ÷ 4
Please help
Answer:
1.833333333
Step-by-step explanation:
7⅓ ÷ 4
=¹¹/6
= 1.833333333
Jordan performed an experiment using a number cube. He rolled a number cube 50 times. He found that he rolled a 6 a total of 8 times. What is the experimental probability that he did not roll a 6?
Answer:
Step-by-step explanation:
Total number of rolls = 50
Number of times rolling a 6 = 8 times
Number of times not rolling a 6 = 50 -8 = 42
P(~6) = 42/50 = 0.84
If arc AB = 107° and arc BC = 122°, find the value of x.
Answer:
the value of x is acb 133°
Find the area of the polygon:
Answer:
this figure is trapezium.
area of trapezium =1/2×(a+b)h
area of trapezium =1/2×(7+24)×24
area pf trapezium =1/2×31×24
area of trapezium =372unit²
A= 1/2bh pls help I don’t remember how to do this
Answer:
It would be D.
Step-by-step explanation:
This formula, A=1/2 bh, 1/2 base multiplied by height, is used to find the area of a triangle, therefore, D is the only viable answer.
whoever gets this correct first gets brainlest
Answer:
36°
Step-by-step explanation:
From the question,
The sum of the exterior angle of a polygon = 360
From the diagram. the polygon is Decagon
Note: A Decagon is a polygon with 10 sides.
number of sides = 10 .
The exterior angle of a regular polygon = sum of the exterior angle/number of sides.
Exterior angle = 360/10
Exterior angle = 36°
Hence the measure the single extrior angle = 36°
⚠️HELP⚠️
If <6≈<10and <5≈<7, which describes all the lines that must be parallel?
o Only lines r and s must be parallel.
o Only lines t and umust be parallel.
Lines r and s and lines t and u must be parallel.
O Neither lines r and s nor lines t and u must be parallel
From the image we can see that; Lines r and s and lines t and u must be parallel.
What are parallel lines?The term parallel lines refers to those lines that can not meet. We know parallel lines by the arrows that show us where they are pointing to.
Thus, from the image we can see that; Lines r and s and lines t and u must be parallel.
Learn more about parallel lines:https://brainly.com/question/16701300
#SPJ1
Use the method of elimination to determine whether the given linear system is consistent or inconsistent. If it is consistent, find the solution if it is unique, otherwise describe the infinite solution set in terms of an arbitrary parameter t. (Note that a system of equations is said to be consistent if it has at least one solution)
4x - 2y + 6z = 0
-y-z=0
- y + 3z = 0
Answer:
Step-by-step explanation:
From the given information;
We will realize that in the 2nd & 3rd equation, the integer "x" is missing.
So, the correct equation should be:
4x - 2 + 6z = 0
x - y - z = 0
2x - y + 3z = 0
By rearrangement; if we switch equation (1) and (2)
x - y - z = 0 ----- (1)
4x - 2 + 6z = 0 ------ (2)
2x - y + 3z = 0 ------ (3)
If we multiply equation (1) and add that to equation (2);
Then, we have:
x - y - z = 0
2y + 10z = 0
2x - y + 3z = 0
Also, if we multiply equation (1) by -2 and add that to equation (3), we have:
x - y - z = 0
2y + 10z = 0
y + 5z = 0
From above recent equation, if we swap equation (2) and (3);
x - y - z = 0
y + 5z = 0
2y + 10z = 0
Then, multiply equation (2) with -2, followed by adding it to equation(3);
Then:
x - y - z = 0
y + 5z = 0
0 = 0
Now, there exists no equation (3). Thus, let assume z = t to solve for x & y
y + 5z = 0
y = -5t
Similarly;
x - y - z = 0
x = -5t + t
x = -4t
Hence;
x = -4t; y = -5t; & z = t
Write without exponents (y^2)^4
Answer:
Step-by-step explanation:
Answer: y times y 8 times
Apply Exponent Rule
Simplified Form y^8
To write without exponents is basically just writing out y times itself 8 times.
Huh?! Its me DaBaby less gooo i need your help with this question. Yeah Yeah!
Answer:
Imaoo
Step-by-step explanation:
answer: C
Answer: Letsssss goooooo
the answer is 4y
dababy letssssssssssss gooooooooooooooooo
Step-by-step explanation:
What’s the answer and work for this? Someone please tell me
Answer:
69
because you put them in order least to greatest (or greatest to least)
55, 58, 62, 63, 68, 70, 71, 79, 81, 82
there are 10 numbers total
the two middle numbers are
68 and 70
the number in between is 69
Step-by-step explanation:
median= middle number.
where there is an even amount of numbers, you find the number in between the middle two numbers when in order.
(this can be found by adding the two numbers together and then dividing by 2)
A box of 6 mini muffins costs $2.34. Which are equivalent prices? Select the three that apply.
A. $0.39 per muffin
B. $1.40 for 4 muffins
C. $3.12 for 8 muffins
D. $3.09 for 10 muffins
E. $7.80 for 20 muffins
Answer:
A
Step-by-step explanation:
2.34 divided by 6 so then that gives you o.39
solve for x in the equation
Answer:
third option
Step-by-step explanation:
subtract 125/4 from each side to get:
x² + 11x -1
use quadratic formula to get:
-11 ± √121 - 4(-1)/2
= -11 ± ([tex]\sqrt{125}[/tex]) / 2
* [tex]\sqrt{125}[/tex] = [tex]\sqrt{25}[/tex] · [tex]\sqrt{5}[/tex] = 5[tex]\sqrt{5}[/tex]
= -11 ± (5[tex]\sqrt{5}[/tex]) / 2
Calculate the area of the shape below.
Answer:
24 ft²
Step-by-step explanation:
1/2x12x4=24 ft²
Help me out I am dum
Answer:
0.941.04Step-by-step explanation:
(0.89+0.99)/2 = 0.94(0.99+1.09)/2 = 1.04
Enter the correct answer in the box.
Simplify the expression x^5•x^7
Answer:
x^12
Step-by-step explanation:
when multiplying with exponents, keep base and add exponents
when dividing with exponents, keep base and subtract exponents
Barkly Doghouses charges
$50 per sq. ft. for their dog
houses. What is the cost of a
doghouse that is 4.8 sq. ft.?
Please Help!
Answer:
$240
Step-by-step explanation: