Answer:
The margin of error will be "0.65". A further explanation is provided below.
Step-by-step explanation:
The given values are:
n = 343
x = 110
At 99% confidence level,
[tex]\alpha = 1-99[/tex]%
[tex]=1-0.99[/tex]
[tex]=0.01[/tex]
then,
[tex]\frac{\alpha}{2} =\frac{0.01}{2}[/tex]
[tex]=0.005[/tex]
or,
[tex]Z_{\frac{\alpha}{2} }=Z_{0.005}[/tex]
[tex]=2.576[/tex]
Now,
The point estimate will be:
⇒ [tex]\hat{P}=\frac{x}{n}[/tex]
⇒ [tex]=\frac{110}{343}[/tex]
⇒ [tex]=0.321[/tex]
or,
⇒ [tex]1-\hat{P}=1-0.321[/tex]
⇒ [tex]=0.679[/tex]
The margin of error will be:
⇒ [tex]E=Z_{\frac{\alpha}{2} }\times \sqrt (\frac{(\hat{P}\times (1 - \hat{P})) }{n} )[/tex]
On substituting the above values, we get
⇒ [tex]=2.576\times \sqrt{\frac{0.321\times 0.679}{343} }[/tex]
⇒ [tex]=2.576\times \sqrt{\frac{0.217959}{343} }[/tex]
⇒ [tex]=0.065[/tex]
hence,
⇒ [tex]\hat{P}-E<p<\hat{P}+E[/tex]
⇒ [tex]0.321-0.065<p<0.321+0.065[/tex]
⇒ [tex]0.256,0.386[/tex]
Becker and Kayla are members of the school chess team. They record the number of games they each play for 10 days. The data are shown below
Becker: 5,2,4,1,1,4,5,3,2,1
Kayla: 2,3,1,1,4,1,5,3,5,5
Based on the data, which estimate represents the mean of number of games chess team members play per day?
A.) 1
B.) 3
C.) 4
D.) 10
Answer:
B.) 3
Step-by-step explanation:
You add up all of the numbers from Beck which is 28. Now you do the same thing for Kayla, add up all the numbers from Kayla which equals 30. You add up their chess games 28 + 30 = 58 and then divide by the total number of days they played.. 20. 58/20 = 2.9. You round to the nearest tenth which would get you 3.
I hope this helps!! :)
3-gallon bottle of fabric softener costs $18.00. What is the price per quart? ( 1 gallon = 4 quarts)
(NO LINKS PLEASE) Look at the attached photo. Imagine that at the intersection of ry_EG and ln_DF we placed a point M. Which of the following most completely describes the new elements have we created?
A.
B.
C. two rays
D. one angle
E. ry_MD and ry_MF
F. ry_MG
Answer:
Hi, I can't help you with this sorry ( I suck at maths) but I think we have the same biology work so do you mind maybe helping each other? I would love somebody to talk to and to meet someone so we can work together :) Currently, I am doing an online school and have no friends :( I would really appreciate it if you took your time to contact me!
Thank u <3
(Sorry for taking the points I don't really use mine so if you want I can make a question like 2+2 so I can give you even more points)
A farmer has 1235 trees to be planted on a rectangular parcel of land. if there are 24 trees planted in each row and each row must be completed before it is planted, how many trees will be leftover planting?
a. 0
b. 11
c. 55
d. 21
Answer:
c?
Step-by-step explanation:
It's the closest number to 51.
1245/24
Ms. B drives a maximum of 10 miles per week. If she drives 5 days per week, how much per day?
Answer:
2 miles about
Step-by-step explanation:
10 miles max divided by 5 days is two miles per day
The planet venus is on average 2.5x10^7 kilometers from earth. The planet mars is on average 2.25x10^8 kilometers from earth. What is the average distance from venus to mars?
Answer:
The average distance from venus to mars is 2.5x10⁸ kilometers.
Step-by-step explanation:
We know:
d₁: average distance between venus and earth = 2.5x10⁷ km
d₂: average distance between mars and earth = 2.25x10⁸ km
We can find the average distance from venus to mars as follows:
[tex] d_{t} = d_{1} + d_{2} [/tex]
First, we need to equal the base power 10 so we can sum both distances:
[tex]2.25 \cdot 10^{8} = 2.25 \cdot 10^{7} \times 10 = 22.5 \cdot 10^{7} km[/tex]
Now, average distance:
[tex]d_{t} = 2.5 \cdot 10^{7} + 22.5 \cdot 10^{7} = (2.5 + 22.5) \cdot 10^{7} = 25 \cdot 10^{7} km = 2.5 \cdot 10^{8} km[/tex]
Therefore, the average distance from venus to mars is 2.5x10⁸ kilometers.
I hope it helps you!
The coordinates of the endpoints of QR are
Q (8, 2) and R (5, 7) ).
Which measurement is closest to the length of QR
in units?
A 5.8 units
B 5 units
C 4 units
D 3.9 units
Answer: I just did the test so the answer is A. 5.8 units
Step-by-step explanation: hope this help thx for the points :D
Length of QR in units = 5.83 units, which is closest to 5.8 units.
The correct option is A.
What is length of line segment?The distance between any two points is the length of the line segment joining the points.
The formula for the distance, D, between two points whose coordinates are (x₁, y₁) and (x₂, y₂)
D = √((x2 – x1)² + (y2 – y1)²)
This is called the Distance Formula.
Given,
Coordinates of points Q (8, 2) and R (5, 7)
Length of QR = Distance between point Q and point R.
D = √((x2 – x1)² + (y2 – y1)²)
D = √((5 - 8)² + (7 - 2)²)
D = √(-3² + 5²)
D = √9 + 25
D = √34
D = 5.83 units
Length of QR rounded to one decimal = 5.8 unit
Hence, 5.8 unit is closest to the length of QR = 5.83units
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Every day, Jackie practices basketball and guitar. Each day,
she practices basketball for 1.5 hours. If after 6 days she
practiced both basketball and guitar for a total of 21
hours, how many hours per day did Jackie practice guitar?
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
30 m
Step-by-step explanation:
Picture the question as a triangle
The length of the string is the hypotenuse, 60 m
The angle from the ground is 30
The right angle C is from the height of the kite to the ground
The missing angle A 60 is located on the top of the kite
now find b, the height
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(A)=adj/hyp
cos(A)=b/c
b=c*cos(A)
b=60*cos(60)
b=30
Margaret is going on vacation to Alaska. She has 13 sweaters and needs to choose 6 to take with her on vacation. How many ways can she choose the 6 sweaters to take? Question 7 options: 1,716 1,235,520 78 575
Answer:
1,716
Step-by-step explanation:
I just took the quiz.
Halla la función polinomica de grado 3 que corta el el eje X en (-1;0);(-5;0)y(1;0) y en la cual P(0)=2
Answer:
sorry needed the points
Step-by-step explanation:
Help find the value of x please
Answer:
138
Step-by-step explanation:
Because 180-42
The diameter of Circle X is 18 cm. The diameter of Circle Y is 29 cm. Which circle has the greater area and by how much? Use 3.14 for . Use pencil and paper. Describe two ways you can compare the areas of two circles. Explain when you might prefer to use each.
Kennedy is making chicken noodle soup for her little brothers she has three cans that have a radius of 2 inches in height of 6 inches how much soup is she making
Answer:
226.08 in^3
Step-by-step explanation:
volume of a cylinder = nr^2h
3.14 x 2^2 x 6 = 75.36 in^3
75.36 x 3 = 226.08
Solving Inequalities
Please help! This assignment was due yesterday, May the 12, but I have yet to get it done.
Answer:
x>-1
Step-by-step explanation:
So, we want to isolate the variable which is X. To do so, we must add 4 on both sides.
x-4+4>-5+4
x>-1
Next comes the graphing:
This equation means that x can be all values that are LARGER THAN -1. The line would start from -1, but it wouldn't include negative one, and stretch all the way to positive infinity (to the right).
help me plz im stuck on this one question :{
Answer:
C
Step-by-step explanation:
There's 7 points between point P and E
Hope this helped :)
(1/2) 4/? = ?
A :4/8
B:1/8
C:4/16
D:1/16
Answer:
A: 4/8
Step-by-step explanation:
1/2 is the same as 4/8 because if we divide 4 to both the numerator (4 divided by 4) and the denominator (8 divided by 2), we get 1 for the numerator and 2 for the denominator.
someone help please :)!
Answer:
Picture again the pic is blurd
In the diagram above, the length of arc AB is 8 pie. Find the length of the radius.
A) 24
B) 48
C) 12
D) 6
Which of the following terms best describes the set of all points in a plane for
which the difference between the distances of a given point to two fixed foci
equals a certain constant?
Focus
Focus
A. Hyperbola
B. Circle
C. Ellipse
D. Parabola
someone HELPP PLSSS
The set of all points in a plane for which the difference between the distances of a given point to two fixed foci equals a certain constant
is a A. Hyperbola.
What is a hyperbola?A hyperbola is symmetric along its conjugate axis and resembles the ellipse in many ways.
Examples of the hyperbola that are frequently seen include the path taken by the tip of a sundial's shadow, the scattering trajectory of subatomic particles, etc.
We all know the pictorial representation of a circle, ellipse, parabola, and hyperbola.
A hyperbola is subject to concepts like foci, directrix, latus rectus, and eccentricity.
The given diagram and statements represent a hyperbola.
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A student would like to estimate the proportion of students at his school who have lunch during period 4. To do so,
he selects a random sample of 40 students and finds that 30% of them have period 4 lunch. Later, he goes to the
guidance office and finds that of the 380 students at this school, 25% of them have period 4 lunch. Which of the
following properly describes the number, 25%?
sample
statistic
population
parameter
Yeah
Answer:
D
As we are getting the 25% from the whole population of 380 students, therefore this is a population proportion which is a parameter. Note that we get parameter from population and statistic from the sample.
Step-by-step explanation:
The property parameter describes the number, 25% because 25% from a population of 380 students, this is a population proportion that may be used as a metric option (D) parameter is correct.
What are population and sample?It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.
We have:
Number of samples = 40
30% of them have period 4 lunch.
Total population = 380
25% of them have period 4 lunch.
Because we're collecting 25% from a population of 380 students, this is a population proportion that may be used as a metric.
We collect parameters from the population and statistics from the sample.
Thus, the property parameter describes the number, 25% because 25% from a population of 380 students, this is a population proportion that may be used as a metric option (D) parameter is correct.
Learn more about the population and sample here:
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Find the area of a circle with radius, r = 5.78m.
Give your answer rounded to 2 DP.
Answer:
104.96
Step-by-step explanation:
Hope this helps :)
I HAVE 13 MINS LEFT HURRY PLEASE
If $3,200 is invested at a rate of 5.5%, compounded quarterly, calculate the value of the investment after
4 years. Round to the nearest dollar.
Hint: Use the formula below
A=P(1+r/n)^nt
Answer:
A = $13,366.37
A = P + I where
P (principal) = $10,000.00
I (interest) = $3,366.37
Step-by-step explanation:
Answer:
$3964
Step-by-step explanation:
A=P(1+r/n)^nt
So 3964(1+.055)^4
Comes out to 3964.238882. Then round
Hope this helps
Brainliest would be appreciated
Identify a diameter of circle E. A) AC B) HI C) EB D) GF
Answer:
B) HI
Step-by-step explanation:
I need help with this answer
Answer:
less than or equal to
Step-by-step explanation:
Answer:
less equal to. hope it helps
HELP ME PLEASE... WILL GIVE BRAINLIEST. WORTH A LOT OF POINTS. HELP HELP HELP. PLEASEEEEEEEEE!!!!!!!!!!!!
Professor M presented the pair of equations shown below:
y = 6x − 10
y = 2x − 2
Part A: Explain to Professor M how you will solve the pair of equations by using either substitution or elimination. Show all the steps you use and write the solution in (x, y) form.
Part B: If she asked you to graph the two equations, at what point will the lines representing the two equations intersect? Explain how you know this.
Answer:
Step-by-step explanation:
A culture started with 1,000 bacteria. After 7 hours, it grew to 1,200 bacteria. Predict how many bacteria will be present after 14 hours. round your answer to the nearest whole number.
Note: When solving for k, round to four decimal places
Answer:
1400
Step-by-step explanation:
I took the Application
Help please (no links)
Answer:
Solution given:
8x²+8x+2=0
8x²+4x+4x+2=0
4x(x+2)+2(x+2)=0
(x+2)(4x+2)=0
either x=-2/4=-½
or
x=-2
So
It has 2 solution.
HELP
Suppose that a random parabola has a maximum vertex at (-7, 1). What
would be the value of the Axis of Symmetry for this parabola?
EXPLAIN
Answer:
x = -7 or y = 1
Step-by-step explanation:
Since we are not given the actual formula for the parabola, we do not know in which direction the parabola is facing. The axis of symmetry is the value of the line that splits the parabola perfectly down the middle, to calculate this we need to know in which direction the parabola is facing. Since we do not have this information and only have the maximum vertex we can provide the two possible values for the Axis of Symmetry, which would be the following...
x = -7 or y = 1
A quarter is 1/4 of a dollar. Victor has 32 quarters. how much money does he have
$8
$7
$6
$5
Answer:
its actually a 1/4 of a dollar so it would be 8 dollars
Step-by-step explanation:
32 divided by 4 = 8
hope i helped