Answer:
8
Step-by-step explanation:
Picture shows how I did it
Answer:
8 if the / means divide.
Step-by-step explanation:
Hope this helps!
An organization published an article stating that in any one-year period, approximately 10.3 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, eight of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country.
Answer:
We accept H₀ we don´t have enough evidence to support that the proportion of certain town differs from that of National Information
Step-by-step explanation:
National Information:
p = 10,3 % p = 0,103
Sample
Sample size n₁ = 100
x₁ = 8
p₁ = x₁/100 p₁ = 8 / 100 p₁ = 0,08 %
q₁ = 1 - p₁ q₁ = 1 - 0,08 q₁ = 0,92
Confidence Interval CI = 95 % significance level α = 5 % α = 0,05
z(c) for α = 0,05 from z-table is : 1,64
Test Hypothesis:
Null Hypothesis H₀ p₁ = p
Alternative Hypothesis Hₐ p₁ < p
The alternative hypothesis suggest a one tail test to the left
z(s) = ( p₁ - p ) √p₁*q₁ / n₁
z(s) = ( 0,08 - 0,103 )/√ 0,08*0,92/100
z(s) = - 0,023 / 0,027
z(s) = - 0,85
Comparing z(s) and z(c)
z(s) > z(c) - 0,85 > -1,64
z(s) is in the acceptance region, we accept H₀
Please help!! Due today
Answer:
7Step-by-step explanation:
Hopes this helps. Mark as brainlest plz!An arena is hosting a concert. At the most, the arena can hold 8,500 people. If tickets have already been sold to 6,900 people, what is the highest number of tickets that can still be sold?
Answer:
Subtract 6,900 from 8,500 to get the highest number of tickets that can still be sold which is 1,600.
Parker randomly pulled out a sock that was black form
his drawer. Without replacement, what is the
probability that Parker will randomly pull out a white
sock on his second pull?
Answer:
[tex]Probability\ that\ Parker'd\ pull\ off\ a\ White\ Sock(\ On\ His\ Second\ Pull)=\frac{6}{11}[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Total\ number\ of\ Black\ Socks=7\\Total\ number\ of\ White\ Socks=12\\Total\ number\ of\ Navy\ Socks=4\\Hence,\\Total\ number\ of\ Socks\ Parker\ has=12+4+7=23\\We\ know\ that,\\The\ Random\ experiment\ here,\ is\ pulling\ out\ a\ white\ sock,\ after\ pulling\\ a\ black\ sock.\\Hence,\\Since\ the\ Black\ Sock\ had\ been\ removed\ from\ his\ drawer,\ the\\ number\ of\ 'Socks'\ that\ remain\ in\ his\ drawer=23-1=22\\[/tex]
[tex]Hence,\\Total\ elementary\ events\ for\ this\ random\ experiment=22\\Now,\\We\ just\ need\ to\ find\ out\ the\ probability\ of\ pulling\ out\ a\ 'White\ Sock'.\\Hence,\\Number\ of\ White\ socks=12\\Hence,\\Favorable\ number\ of\ elementary\ events\ for\ the\ Random\ Experiment=12[/tex]
[tex]We\ also\ know\ that,\\Probability\ for\ an\ Event\ A=\frac{Favorable\ No.\ of\ Elementary\ Events}{Total\ no.\ of\ elementary\ events}[/tex]
[tex]Hence,\\Probability\ that\ Parker\ would\ pull\ off\ a\ white\ sock\ on\ his\\ second\ pull=\frac{12}{22}=\frac{6}{11}[/tex]
how many fluid ounces are equal to 26 quartz? i will give brainliest answer.
The local High School currently has approximately 950 students enrolled. They are anticipating a 12% increase next year. How many students are they anticipating? *
Please help me with this question if you can
Step-by-step explanation:
the 3rd angle = 4x+17 because of vertical angles
4x+17 + x+23 + 80 = 180 sum of interior angles of a triangle
5x +40 = 100
5x = 60
x = 12
angle A = x + 23 = 12 +23 = 35
(b) In summer, the zoo increases the prices.
An Adult ticket increases by 20%.
A Child ticket increases by 15%.
How much more does it cost the family to visit in the summer than in the winter?
1+1-1+1-1 Will choose brainly
Answer:
1
Step-by-step explanation:
Decide whether the equation describes a function.
y= 4x - 5
What is the domain and range?
Answer: The domain is in the picture
Step-by-step explanation:
A process that is in control has a mean of 12.5 and a standard deviation of 1.1.
a. Construct the control chart for this process if samples of size are to be used (to 1 decimal).
For N=4
Find the UCL
Find the LCL
b. Repeat part (a) for samples of size and (to 2 decimals).
For N=10
Find the UCL
Find the LCL
For N=15
Find the UCL
Find the LCL
c. What happens to the limits of the control chart as the sample size is increased? Discuss why this is reasonable. and become - Select your answer (closerfarther) together as n increases. If the process is in control, the larger samples should have less variance and should fall - Select your answer (closerfarther) to 12.5
Answer:
1a) UCL = 14.2
LCL = 10.9
b) UCL = 15.63
LCL = 9.37
c) UCL = 16.48
LCL = 8.52
2) The difference between the limits falls close together as n increases
and the difference between the limits falls farther away from 12.5
Step-by-step explanation:
mean ( μ ) = 12.5
std ( б ) = 1.1
UCL = μ + ( n - 1 ) б / √n
LCL = μ - ( n - 1 ) б / √n
1) a) Given n = 4
UCL = 12.5 + ( 3 ) * 1.1 / 2
= 12.5 + 3.3/2 = 14.15 ≈ 14.2
LCL = 12.5 - 3.3/2 = 10.85 ≈ 10.9
b) Given n = 10
UCL = 12.5 + ( 9 ) * 1.1 /√10
= 12.5 + 3.13 = 15.63
LCL = 12.5 - 3.13 = 9.37
c) Given n = 15
UCL = 12.5 + 14 * 1.1 / √15
= 12.5 + 3.98 = 16.48
LCL = 12.5 - 3.98 = 8.52
2) As the sample size increases the difference between the limits of the control chart decreases
Hence the difference falls close together as n increases
and the difference between the limits falls farther away from 12.5
Urgently plsss A randomly generated password contains four characters. Each of the four characters is either a lowercase letter or a digit from 0–9. Each character in the password cannot be used more than once.
What is the approximate probability that exactly one of the four characters will be a number?
1%
11%
28%
44%
Answer:
Step-by-step explanation:
Sample space is 36C4
Now, we want to know all of the combinations that have 1 digit in it.
So, we can have one here:
1XXX
X1XX
XX1X
XXX1
But we have 10 different digits to choose from. So, we need to introduce the combination term, nCr, where n is a list of all digits and r is how many we want.
Since we only want one, we will need 10C1 for the number of digits. But we need to choose three lowercases, so it becomes 10C1 × 26C3
Since it's a probability question, we need to divide that by our sample space, 36C4, and our percentage becomes 44%
Answer:
28%
Step-by-step explanation:
It is not 44%. I put that and it was wrong.
HELP PLEASE IM GIVING BRAINLIEST!!
Answer:
the answer to the problem is b
Find the measure of < 3
t
43
90°
K
43 = [?]
Enter
Answer:
Solution given:
<3+90=180[co interior angle ]
<3=180-90=90°
is your answer
work out
cube root 1331 : reciprocal of 0.2
give your answer in the form n:1
Answer:
2.2 : 1
Step-by-step explanation:
cube root 1331 : reciprocal of 0.2
give your answer in the form n:1
The cube root of 1331
(1331)^1/3 = 11
Reciprocal of 0.2 = 1 /0.2 = 5
Hence, the ratio Can be expressed as :
11 : 5
In the form n : 1
divide both sides by 5
11/5 : 5 /5
2.2 : 1
solve the following inequality: 55-5q > 4 (7-q)
Answer:
27 > q
Step-by-step explanation:
Solving an algebraic inequality is very similar to solving an algebraic equation, one uses inverse operations. One major difference between the two is that when one multiplies or divides an algebraic inequality by a negative number, one must remember to flip the inequality sign.
55 - 5q > 4 ( 7 - q )
Distribute,
55 - 5q > 28 - 4q
Inverse operations,
55 - 5q > 28 - 4q
+5q +5q
55 > 28 + q
-28 -28
27 > q
Do #5 please will mark brainlist
Step-by-step explanation:
12/7 is equal to 14/8 is equal to ab/cd
Integers
53 + (-26 )
53 + (-26 )
✨ Answer ✨[tex] \: \: \: \: \: \: \: \: \: \purple{ \boxed{ \boxed{ \huge{ \tt{ \: 37 \: }}}}}[/tex]
Find the simplified product: 2 square root 5x^3
Answer:
x Square root 5x
Step-by-step explanation:
2. Give vector v=< 3,-6 > and w is a vector with a magnitude of 36 and direction 155 degrees.
a. Write the vector v in i, j component form.
b. Find the magnitude and direction of vector v.
c. Find the i, j vector form of w.
d. Find the resultant vector of v+w. This includes its component form, magnitude and direction.
9514 1404 393
Answer:
a) v = 3i -6j
b) v ≈ 6.708∠-63.43°
c) w = -32.627i +15.214j
d) v+w = -29.627i +9.214j = 31.027∠162.72°
Step-by-step explanation:
Most graphing calculators and many scientific calculators can do arithmetic with vectors, often in the form of complex numbers or arrays. Of course, the usual conversions can be used:
(r; α) ⇒ (r·cos(α), r·sin(α))
(x, y) ⇒ (√(x²+y²); atan2(x, y))
where atan2(x, y) is arctan(y/x) quadrant-adjusted for the signs of x and y
__
a) v = 3i -6j
b) v ≈ 6.708∠-63.43°
c) w = -32.627i +15.214j
d) v+w = -29.627i +9.214j = 31.027∠162.72°
__
The first attachment shows the vectors and their sum in component form as complex numbers. For your purpose, the translation is ...
a +bi ⇒ ai +bj
The second attachment shows the vectors and their sum in polar form (magnitude and direction). I like the A∠B format. You may translate it to whatever form you need, for example, (A; B), A·cis(B), A(cos(B)i +sin(B)j), Ae^(iB), or any other. (The "semicolon format" is used by at least one app to distinguish between rectangular coordinates (a, b) and polar coordinates (A; B).) The angles here are in degrees (not radians), matching the form in the problem statement.
A map is drawn to the scale 1:4,000.
(a) The length of a road on the map is
3.5 cm. Find its actual length in meters.
Answer:
Original length of the road = 14,000 meter
Step-by-step explanation:
Given Scale;
1 cm = 4,000 meter
The length of road on map = 3.5 cm
Find:
Computation:
Original length of the road
Original length = Length on drawing x scale factor
Original length of the road = The length of road on map x scale factor
Original length of the road = 4,000 x 3.5
Original length of the road = 14,000 meter
Write an equation that can be used to find the nth term of the sequence, an.
80, 105, 130, 155, 180, ...
Enter your answer by filling in the boxes.
an = n +
Answer:
an=105-25n is the answer
The filling in the boxes an is equal to 105-25n.
We have given that,
Write an equation that can be used to find the nth term of the sequence, an.
What is the sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.
The sequence is 80, 105, 130, 155, 180.
We have to determine an term.
To learn more about the sequence visit:
https://brainly.com/question/6561461
#SPJ2
Pls help fast if correct I’ll give Brainliest
Answer:
c
Step-by-step explanation:
c
The best estimate of 4.3 - 2.4 is
A less than 1.
B between 1 and 2.
C between 2 and 3.
D more than 3.
Answer:
D more than 3eoeoieieie
A fair die is rolled four times. Calculate the probability of obtaining exactly two 4s.
Answer:
The probability of getting two 4s is 5.55%.
Step-by-step explanation:
Since fair says is rolled four times, to calculate the probability of obtaining exactly two 4s the following calculations must be performed:
100/6 = 16.6666
0.166666 x 0.166666 = X
0.02777 = X
1 = 100
0.02777 = X
0.02777 x 100 = X
2.77 = X
2.77 x 2 = 5.55
Therefore, the probability of getting two 4s is 5.55%.
The length of a rectangle is 11 units more than its width. The perimeter of the
rectangle is 182 units. Solve for the dimensions of the rectangle. What is the
area of the rectangle?
9514 1404 393
Answer:
width: 40 unitslength: 51 unitsarea: 2040 square unitsStep-by-step explanation:
Let w represent the width of the rectangle. Then w+11 is the length. The perimeter is given by ...
P = 2(L +W)
182 = 2((w+11) +w)
182 = 4w +22 . . . . . simplify
160 = 4w . . . . . . . . . subtract 22
40 = w . . . . . . . . . . . divide by 4
40 +11 = length = 51 . . . . determine length
The dimensions of the rectangle are 40 × 51 units.
__
The area of the rectangle is ...
A = LW
A = (51)(40) = 2040 . . . . square units
The area is 2040 square units.
_____
Additional comment
The perimeter of a rectangle is double the sum of length and width, so that sum is 182/2 = 91 units. Now, this is a "sum and difference" problem, where the sum of length and width is 91, and the difference is 11. The solutions to such a problem are half the sum and half the difference of these numbers. Above, we found the smaller dimension (width) first: (91-11)/2 = 40. We could have found the length as (91+11)/2 = 51. The knowledge of the general solution to "sum and difference" problems often lets you work them with mental arithmetic.
Solve the system of equations
The sales tax for an item was $13.60 and it cost $340 before tax.
Find the sales tax rate. Write your answer as a percentage.
Answer:
4%
Step-by-step explanation:
13.60/340=.04 or 4%
Calculate the area.
Answer:
d. 91.61 cm^2
Step-by-step explanation:
have a nice day :)
Answer:
area of circle=πr²=π×5.4²=91.6cm²
9 divided by 8 is equal to 9 multiplied by _
Answer:
1/8.
Step-by-step explanation:
9/8 = 9x
Cross multiply:
9x * 8 = 9
72x = 9
x = 9/72 = 1/8.
CHECK the answer:
9/8 = 9 * 1/8 = 9/8.
Checks OK.