Answer:
(5,3)
Step-by-step explanation:
Answer:
(5, 3)
Step-by-step explanation:
(x, y)----> (x + 3, y + 4)
(2, -1)----> (2 + 3, -1 + 4)
(5, 3)
Previous data estimates the proportion of adults who are fully literate in Colombia to be 0.92. Suppose a random sample of adults from Columbia is to be taken and used to construct a 95% confidence interval for the proportion of adults who are fully literate. What is the MINIMUM sample size which should be used to construct this interval if the margin of error for the interval is to be 0.03 or less
Answer:
The minimum sample size which should be used is 315.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Previous data estimates the proportion of adults who are fully literate in Colombia to be 0.92.
This means that [tex]\pi = 0.92[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What is the MINIMUM sample size which should be used to construct this interval if the margin of error for the interval is to be 0.03 or less?
The minimum sample size that should be used is n for which M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.92*0.08}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.92*0.08}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.92*0.08}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.92*0.08}}{0.03})^2[/tex]
[tex]n = 314.2[/tex]
Rounding up
The minimum sample size which should be used is 315.
The temperatures at 6:00 am one morning in four cities are given below.
Paris
-5 °C
Oslo
-12 °C
-3°C
London
Brussels
-1 °C
a) Which city was the warmest?
Brussels
b) Give the difference in temperature between Oslo and London.
°C
At 6:00 pm, the temperature in Paris was 3°C higher than at 6:00 am.
c) What was the temperature at 6:00 pm in Paris?
°C
Answer:
-9
Step-by-step explanation:
The city of Brussels will be the warmest. The difference in temperature between Oslo and London is -9°C and the temperature at 6:00 pm in Paris will be -2°C.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
(a)
A city which has the lowest temperature will be warmest since -1°C is the lowest so Brussels will have the warmest city.
(b)
The difference in temperature between Oslo and London will be as,
-12 °C - (-3 °C) = -9 °C.
(c)
At 6.:00 pm the temperature will be -5 °C + 3 °C = -2 °C.
Hence "The city of Brussels will be the warmest. The difference in temperature between Oslo and London is -9°C and the temperature at 6:00 pm in Paris will be -2°C".
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ2
Hey guys I need some help; I would really appreciate it :)
GEOMETRY!!!! Will give brainliest
Is this a rational number
Answer:
Note that it is not a perfectly elastic result so it is irrational
In a survey of 300 college graduates, 53% reported that they entered a profession closely related to their college major. If 9 of those survey subjects are randomly selected with replacement for a follow-up survey, what is the probability that 3 of them entered a profession closely related to their college major
Answer:
0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.
Step-by-step explanation:
For each graduate, there are only two possible outcomes. Either they entered a profession closely related to their college major, or they did not. The probability of a graduate entering a profession closely related to their college major is independent of other graduates. This, coupled with the fact that they are chosen with replacement, means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
53% reported that they entered a profession closely related to their college major.
This means that [tex]p = 0.53[/tex]
9 of those survey subjects are randomly selected
This means that [tex]n = 9[/tex]
What is the probability that 3 of them entered a profession closely related to their college major?
This is P(X = 3).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{9,3}.(0.53)^{3}.(0.47)^{6} = 0.1348[/tex]
0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.
Please Help No fake answers
Answer:
5.09 or 5.10(if u round up)
Step-by-step explanation:
When you convert √24 it will be 5.099
The decimal point must lie between 5 and 0
Hope this helps:)
What if I had 1/3x^3, would this be a vertical stretch or vertical compression?
Vertical compression
The equation of the line passing through (2, 3) with a slope of 5 is y = []x- []
Answer: y = 5x - 7
Step-by-step explanation:
y = mx + b, where m = slope
We plug in the point, where x = 2, and y = 3
y = 5x - b
3 = 5(2) - b
3 = 10 - b
b + 3 = 10
b = 7
y = 5x - 7
Pls help I need a good grade
Answer:
Step-by-step explanation:
13). [tex]-\frac{q}{7}\geq -1[/tex]
[tex]\frac{q}{7}\leq 1[/tex]
[tex](\frac{q}{7}\times 7)\leq (1\times 7)[/tex]
q ≤ 7
14). -12x < 60
12x > -60
[tex]\frac{12x}{12}>\frac{-60}{12}[/tex]
x > -5
15). 5 > z - 3
5 + 3 > z - 3 + 3
8 > z
16). 0.5 ≤ [tex]\frac{y}{8}[/tex]
0.5 × 8 ≤ [tex]\frac{y}{8}\times 8[/tex]
4 ≤ y
Now we can draw these inequalities on a number line.
The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel?
Item 19
The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel?
Answer:
636
8u2b4c9....°73vaultx8 3_2144,773,90=636
Step-by-step explanation:
993yuei92u83vaultx21564=636
A 4-column table with 4 rows titled Population Data. Column 1 has entries 4, 5, 9, 15. Column 2 has entries 8, 2, 20, 1. Column 3 has entries 6, 9, 10, 8. Column 4 has entries 10, 8, 1, 2.
If Serena selects 4 samples from the table, which row will give her largest mean?
Which row will give her the smallest mean?
The actual population mean will be between
.
Answer:
row 3
row 2
6 and 10
Answer:
The answers are 1( row 3 ) 2( row 2 ) 3( 6 and 10 )
Step-by-step explanation:
I got it right on edge and also the person above me is correct have a wonderful day. (✿◠‿◠)
Draw the line of reflection that reflects △ABC onto triangle Δ A'B'C'
Answer:
Step-by-step explanation:
Coordinates of the vertex A → (-4, -6)
Coordinates of the vertex A' → (6, 6)
Since, y-coordinates are same opposite in notation,
Therefore, by the rule of reflection, line of reflection will be a line parallel to y-axis.
And points A and A' will be equidistant from the line of reflection.
Midpoint between A and A' = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
= [tex](\frac{-4+6}{2},\frac{-6+6}{2})[/tex]
= (1, 0)
Therefore, x = 1 will be the line of reflection.
what is 1/2 + 1/3 i know it’s so simple i’m just so bad at maths
PLZ ONLY TYPE IN SSS , ASA, SAS, AAS, HL) IF
the triangles are not congruent, type in NEI
Find the mean, median, and
mode of this data set:
2, 3, 4, 5, 5, 6, 8
Answer:
Mean: 4.71
Mode: 5
Median: 5
Step-by-step explanation:
In the diagram, R, S, and T are all points of tangency. What is the perimeter of Triangle
XYZ?
Answer:
54 cm
Step-by-step explanation:
Perimeter = TZ + TX + RX + RY + SY + SZ
TZ = 5 cm
TX = 13 cm
RY = 9 cm
RX = TX = 13 cm (tangents drawn from and external point)
SY = RY = 9 cm (tangents drawn from and external point)
SZ = TZ = 5 cm (tangents drawn from and external point)
Plug in the values:
Perimeter = 5 + 13 + 13 + 9 + 9 + 5 = 54 cm
When adding two rational
numbers tell what the sign of the
sum will be if:
Both rational numbers are
negative
Answer:
it's going to be negative
Which of the following is true about the expression 7 + V3?
Answer:
is this a multiple-choice question?
Step-by-step explanation:
**i'll go back and change my answer, i promise**
Two companies manufacture a rubber material intended for use in an automotive application. The part will be subjected to abrasive wear in the field application, so we decide to compare the material produced by each company in a test. Twenty-five samples of material from each company are tested in an abrasion test, and the amount of wear after 1000 cycles is observed. For company 1, the sample mean and standard deviation of wear are
xÌ… = 20 milligrams / 1000cycless
s1= 2 milligrams/1000cycles and for company 2, you obtain
xÌ… 2 = 15 milligrams /1000cycles
and
s2= 8 milligrams / 1000cycles
Required:
a. Do the data support the claim that the two companies produce material with different mean wear? Use α = 0.05, and assume that each population is normally distributed but that their variances are not equal. What is the P-value for this test?
b. Do the data support a claim that the material from company 1 has higher mean wear than the material from company 2? Use the same assumptions as in part (a).
c. Construct confidence intervals that will address the questions in parts (a) and (b) above.
Step-by-step explanation:
Due to the time it took to solve this question, I had little time to type the answers fully
The answers are contained fully in the attachment I have uploaded.
A. H0: u1 = u2
H1: u1 not equal to u2
The t statistics was solved to be 3.03
The degree of freedom was solved to be 26
Given this information, this is a 3 tailed test, critical value at 5% = +-2.056
T stat > critical value
We therefore reject the null hypothesis at 5% and conclude they have different mean wear
The p value is calculated using excel and the result is 0.00544
We reject null at 5% since p value is less than 0.05
B. H0: u1 = u2
H1: u1>u2
Alpha = 0.05
Following a,
Test stat = 3.03
Df = 26
Critical value for 1 tailed test = 1.706
Test stat > 1.706
We reject H0 and conclude company 1 has higher mean wear.
We find p value for a right tailed distribution using excel
Tdist(3.03,26,1)
= 0.002722
We reject h0
C. Confidence interval
1.610 < u < 8.390
solve the system of equations -8x+7y=6 and 3x-2y=4 by combining the equations
Answer:
x=8, y=10. (8, 10).
Step-by-step explanation:
-8x+7y=6
3x-2y=4
--------------
2(-8x+7y)=2(6)
7(3x-2y)=7(4)
-----------------------
-16x+14y=12
21x-14y=28
-------------------
5x=40
x=40/5
x=8
3(8)-2y=4
24-2y=4
2y=24-4
2y=20
y=20/2
y=10
please help me thanks
Answer:
1/14
Step-by-step explanation:
Pls help me with this problem
Answer:
what is your problem?
Step-by-step explanation:
A gadget company randomly selects 10 toys per hour to inspect. The number of defective toys in the last six samples is shown in the table.
Based on this information, how many toys are likely to be defective in a sample of 500?
A: 1
B: 5
C: 50
D: 300
Answer:
50
Step-by-step explanation:
Using proportions, it is found that the number of toys that is likely to be defective in a sample of 500 is given by:
C: 50
What is a proportion?A proportion is a fraction of a total amount.
For the samples of 10, the mean number of errors is of:
( 0 + 2 + 1 + 1 + 2 + 0)/6 = 1
Hence, for samples of 500, the expected number of defective toys will be given by:
E = (500/10) x 1 = 50
Hence, option C is correct.
More can be learned about proportions at https://brainly.com/question/24372153
Select the correct answer from each drop-down menu.
A camp director developed the function m(c) = 12c + 80 to model the total cost of taking c campers on a field trip to the movies.
In the camp director’s function, the number of campers is the _______ variable and the total cost of the trip _________
1. ( independent, dependent )
2. ( changes by a constant factor per camper, Changes by a constant amount per camper )
.
Answer:
(a) Independent variable
(b) The constant factor is 12
Step-by-step explanation:
Given
[tex]m(c) = 12c + 80[/tex]
c = campers
m = total cost
Solving (a) What type of variable is the number of campers (c)
The total cost (m) is dependent on the number of campers (c) for its own value.
In other words, if c changes from 5 to say 7, the value of m will also change.
This implies that the number of campers is an Independent variable
Solving (b): Constant factor
This in other words means, rate of change (or slope)
A linear function is:
[tex]y = ax + b[/tex]
Where a represents the slope
By comparison with: [tex]m(c) = 12c + 80[/tex]
Hence, the constant factor is 12
Answer:
dependent, changes by a constant factor per camper.
Step-by-step explanation:
What is the m∠J, to the nearest tenth? JLK is right angle triangle. The length of JL is 9.4 and length of LK is 15.1.
Answer:
58.1
Step-by-step explanation:
Carson is g years old Haley is 2 yrs younger then Carson. find the sum of their ages in terms of g
Answer:
2g-2
.....................
Answer
2g -2
Step-by-step explanation:
Carson is =gHarley = 2-gA rectangular box is to have a square base and a volume of 63 ft3. If the material for the base costs $0.22/ft2, the material for the sides costs $0.09/ft2, and the material for the top costs $0.20/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost.
9514 1404 393
Answer:
3 ft square base, 7 feet high
Step-by-step explanation:
For minimum cost, each pair of opposite sides costs the same as any other pair of opposite sides.
If s is the edge length of the base, then the areas of the top and bottom are s² and their total cost is ...
(s²)(0.22 +0.20) = 0.42s² . . . . cost of top and bottom
__
For a volume of 63 ft³, the height of the side of the box is ...
63/s² = h
and the area of one side of the box is ...
hs = 63/s
A pair of opposite sides will have a cost of ...
(63/s)(0.09 +0.09) = 11.34/s . . . . cost of a pair of opposite sides
__
We want these two costs to be the same, so we have ...
0.42s² = 11.34/s
s³ = 11.34/0.42 = 27
s = ∛27 = 3 . . . . feet
h = 63/s² = 7 . . . . feet
__
The box dimensions are 3 feet square by 7 feet tall.
_____
Additional comment
Each pair of opposite sides will cost $3.78, so the total cost of the box is $11.34.
For the non-believers, we have shown a graph of the total cost of the box as a function of the base dimension (s). It has a minimum at $11.34 when s=3. You can find that by differentiating the cost function and and finding the zero(s) of that (or by reading the values from the graph).
16 km
d) radius =
diameter =
Answer:
the radius is half the diameter. radius = 8 diameter =16
Step-by-step explanation:
Help me or the dirty dogo will steal your Laffy Taffy
Answer:
A D F
Step-by-step explanation:
i think
pls mark brainliest