Answer:
D. 31
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 - 0.95}{2} = 0.025[/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 - 0.025 = 0.975[/tex], so Z = 1.96.
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.
A previous study indicated that the population standard deviation is 2.8 days.
This means that [tex]\sigma = 2.8[/tex]
How large a sample must be selected if the company wants to be 95% confident that the true mean differs from the sample mean by no more than 1 day?
This is n for which M = 1. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]1 = 1.96\frac{2.8}{\sqrt{n}}[/tex]
[tex]\sqrt{n} = 1.96*2.8[/tex]
[tex](\sqrt{n})^2 = (1.96*2.8)^2[/tex]
[tex]n = 30.12[/tex]
Rounding up, at least 31 people are needed, and the correct answer is given by option D.
PLEASE HELP ME WITH THIS
Gabriela is solving the following equation. Her steps are shown:
Gabriella is not sure she has solved the problem correctly. How can you convince Gabriella if she has solved the problem correctly / incorrectly? If she has solved the problem incorrectly, solve it and convince her of the solution
Answer:
Solution given:
5(9x-8)=4(x+2)
45x-40=4x+8
45x-4x=40+8
41x=48
x=[tex] \frac{48}{41} [/tex]
Gabriella is not correct:
she has done in distribution
5(9x-8)=4(x+2)
45x-40=4x+8 not 45x-8=4x+2.
No, Gabriela is not solving correctly because her second step is wrong.
What is a fraction?In a fraction the upper part is known as numerator and the lower part is known as denominator.
How to solve the problem?The problem is as under
(9x-8)/4=(x+2)/5
The above problem is solved as
5(9x-8)=4(x+2)
45x-40=4x+2
41x=42
x=42/41
Hence the value of x is 42/41 therefore the solution of Gabriella is wrong.
Learn more about fraction at https://brainly.com/question/78672
#SPJ2
20 POINTS HELP FAST
Administrators surveyed students enrolled in a new school in order to choose the school mascot. There are 480 students enrolled in the school. What is the proportion needed to calculate the average number of students that chose the lion for the mascot?
Mascot Survey
Sample 1
Sample 2
Ducks
12
Ducks
8
Grizzlies
24
Grizzlies
30
Lions
20
Lions
22
Silverbacks
16
Silverbacks
12
StartFraction 21 over 72 EndFraction = StartFraction x over 480 EndFraction
StartFraction 72 over 21 EndFraction = StartFraction x over 480 EndFraction
StartFraction 42 over 72 EndFraction = StartFraction x over 480 EndFraction
StartFraction 20 over 22 EndFraction = StartFraction x over 480 EndFraction
Answer:
its D.
Step-by-step explanation:
Five less then 3 times a number is 3 let x be unknown
number
Answer:
3x-5=3
Step-by-step explanation:
Answer:
2.6 repeating Or 8/3(same thing in fraction form)
Step-by-step explanation:
So, lets iscolate the different parts of this euqation:
Five less than 3 times a number is 3
Or:
5 less than 3 * x = 3
This is a bit tricky here, but it should be:
(3*x)-5=3
Since order of operations, multipcation comes first.
And remember this is 5 less than the 3*x, so its subtracting 5 from 3*x.
This is all equal to 3.
Now lets solve:
(3*x)-5=3
Solve whats in the parthese first:
3x-5=3
Then get 3x alone:
3x=8
Then get x alone:
x=8/3
Or
2.66 repeating
This is your answer(8/3 or 2.6)
Hope this helps!
PLEASE HELP ME!!!! I WILL MARK BRAINLIEST
find the length of the third side!
THANK YOU!
Answer:
The answer is 7
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
for our purposes we must rearrange this problem to find one of the sides, not the hypotenuse
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
plugging in our numbers we get
[tex] {25}^{2} - {24}^{2} = 49[/tex]
[tex] \sqrt{49} = 7[/tex]
20) A water sprinkler uses 12.9 gallons of water per minute. How many gallons of water will it use in 36,5 minutes?
a)470.85
B) 480.85
c)4708.5
D) 4808.5
Answer:
b
Step-by-step explanation:
Answer: D. Hope It helps!!!!!
Solve for x and find the
missing angles :)
Answer:
x = 20
I'm not sure about the missing angles
How long would it take a cruise ship to travel 156 miles at an average speed of 26 mph
Answer:
The answer is 6 hours
Step-by-step explanation:
26x6=156
In one game there are 85 spins.
How many of these spins are expected to be 'Go forward 2 squares'?
I dont know the question sory
Find the x-intercepts of the parabola with
vertex (3,4) and y-intercept (0,-5).
Write your answer in this form: (X1,41), (X2,42).
If necessary, round to the nearest hundredth.
Enter the correct answer.
Calculate the perimeter of the following shape.
6cm
y=
10 cm
12 cm
5 cm
Answer:
The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides.
10 cm + 12 cm + 5 cm + 6 cm
= 33 cm
A hallow sphere sits snugly inside a foam cube so that the sphere touches all sides. Find the volume of the foam. Round answer to nearest tenth.
Answer:
5832
Step-by-step explanation:
83. A student estimated the height of a tree as 47
feet. If the actual height is 53 feet, what is the
percent error rounded to the nearest percent?
(Hint: Compare the estimated height to the actual
height.)
Poviow (SARZA
Page 8
I need to know the x and y
Answer:
36^7/12=6 y/x
Step-by-step explanation:
im not sure for the rest of it
a concert has 6 selections. there are 515 seats in each selection. about how many seats are in the concerts hall
Answer:
3090
Step-by-step explanation:
6 x 515
Answer:
3090
Step-by-step explanation:
equation 3x + 2y = 2 name solution as ordered pair
Answer:
(0,1) (1,-1/2), (2,-2)
Step-by-step explanation:
C is the midpoint of AE. B is the midpoint of Ac. D is the midpoint of CE
Answer: d is correct
Step-by-step explanation:
Answer: what is the question
Step-by-step explanation:
If the zeros of a parabola are at x = 4 and x = -2 what could be the equation of the parabola?
Answer:
the equation would be: y=(x-4)(x+2)
Challenge A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the
coins, 8% are pennies and 42% are dimes. There are 5 more nickels than pennies. How much money
does the bag contain?
The bag contains $
help on this question
Answer:
sec t = 1/(cos t) = 1/(-3/4) = -4/3
PLEASE HELP ITS URGENT Select the correct answer.
Which document do you need to have on hand when preparing to file your tax return ?
Answer:
a it's birth certificate
Sally and Suzie both agree that m∠A + m∠B = 180⁰.
Sally claims ∠A and ∠B are supplementary.
Suzie claims ∠A and ∠B are not supplementary because they are not adjacent.
Who is correct?
Answer:
Sally is correct in claiming that [tex]\angle A[/tex] and [tex]\angle B[/tex] are supplementary.
Step-by-step explanation:
Supplementary angles are angles that add up to [tex]180^{\circ}[/tex]. Whether they are adjacent or not is irrelevant to whether they are supplementary. Since [tex]70+110=180[/tex], angles [tex]\angle A[/tex] and [tex]\angle B[/tex] are supplementary.
Find the trig ratio. Reduce to
lowest terms.
6
А
8
[?]
sin A
US
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
GIVEN :-
Measure of side opposite to ∠A (Perpendicular) = 6 unitsMeasure of side adjacent to ∠A (Base) = 8 unitsTO FIND :-
sin AFACTS TO KNOW BEFORE SOLVING :-
[tex]Hypotenuse = \sqrt{(Base)^2 + (Perpendicular)^2}[/tex][tex]\sin A = \frac{Side \: opposite \: to \: A}{Hypotenuse}[/tex]PROCEDURE :-
Measure of perpendicular of triangle = 6 units
Measure base of triangle = 8 units
Measure of Hypotenuse = [tex]\sqrt{(6)^2 + (8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10 \: units[/tex]
Side opposite to ∠A = Perpendicular of triangle = 6 units
∴ sin A = [tex]\frac{6}{10} = \frac{3}{5}[/tex]
Assume y varies jointly with x and z. If y = 12 when x = 2 and z = 4, find x when y = 9 and z =6.
Answer:3
Step-by-step explanation:
y = a( x-h)^2 + k
h is the _______________________ shift.(+ shifts __________, shifts __________)k is the _______________________ shift. (+ shifts __________, shifts __________)If a is negative, the function is ____________________ across the ____- ________a1represents a vertical ________________________.a0 1represents a vertical ______________________.
can somebody help me fill this out plz
HELP PLEASE SOMEONE:(
Answer:
C. 5°F
Step-by-step explanation:
- 5°F + 5°F
0°F
ANSWER PLZZZ I NEED HELP QUICK
Answer:
wheres the circle graph
Step-by-step explanation:
(28.5-5. 190)-2
5-2
23
228
hay here is your answer and hope it's clear :) and if it's not clear [ download photo math] it maybe helpful for you ;)
Use the completing the square method to transform the equation x^2 + 2x =13 into an equation of the form (x + a)^2 = b where a and b are real numbers. What are the values of a and b?
Answer: part A is 1 and part B is 14
Step-by-step explanation:
Solvex2
- 4x=21
using the zero product property.
Answer:
The answer is (x + 3) (x - 7) = 0
Step-by-step explanation:
x² - 4x = 21
x² - 4x - 21 = 0
x² - 7x + 3x - 21 = 0
x(x - 7) + 3(x - 7) = 0
(x + 3) (x - 7) = 0
Thus, The answer is (x + 3) (x - 7) = 0
-TheUnknownScientist
what is the common difference in the sequence (-3, 2, 7, 12, ...)
Answer:
an=a1+d(n−1) a n = a 1 + d ( n - 1 )
Step-by-step explanation:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding −5 to the previous term in the sequence gives the next term. In other words, an=a1+d(n−1) a n = a 1 + d ( n - 1 ) .