Using the z-distribution, it is found that the margin of error for the 95% confidence interval is of 0.117.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The sample size and the estimate are given as follows:
[tex]n = 45, \pi = \frac{9}{45} = 0.2[/tex]
Hence the margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.2(0.8)}{45}}[/tex]
M = 0.117.
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Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach measured at high tide where 1995 is represented by year 0:
Year number Western Beach width (in feet) Dunes Beach width (in feet)
0 100 20
5 90 45
10 80 70
11 78 75
12 76 80
15 70 95
Describe the patterns shown by the erosion data measurements shown for each of the beaches in the table.
Between which years will the beaches have approximately the same width?
Assuming these rates remain constant, what can you do to get a better approximation of when the two beaches will have the same width?
please help ASAP. dont put wrong answers. people who have flvs and got a 100 on this pleasezanswer
The patterns shown by the erosion data measurements is that Western Beach is losing sand while Dunes beach is gaining sand.
What is erosion?It should be noted that erosion simply means the washing away of the top soil.
In this case, the patterns shown by the erosion data measurements is that Western Beach is losing sand while Dunes beach is gaining sand.
The years when the beaches have approximately the same width will be between 11 and 12 years.
Assuming these rates remain constant, to get a better approximation of when the two beaches will have the same width, one can plot the data against time and draw a curve that goes through the data.
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2/3 of a class are girls.
A) what is the ratio girls to boys in the class?
B) what is the ratio boys to girls in the class
Ratio of girls to boys is 2:1
Ratio of boys to girls is 1:2
==========================================================
Explanation:
2/3 of the class are girls. If the class had 3 people, then 2 of them are girls. The remaining 3-2 = 1 person is a boy.
The ratio of girls to boys has us list the number of girls (2) followed by the number of boys (1). Separate the values with a colon. That's how we end up with 2:1
The ratio of boys to girls will have us flip that previous ratio to get 1:2
The order is important when it comes to forming ratios.
Suppose you leave your house and travel 13 mi due west. then you travel 3 mi due south. how far are you from your house?
13.34 mi
from question,
perpendicular (p) = 3mi
base(b) = 13 mi
hypotenuse (h) = ?
from Pythagoras theorem,
h^2 = p^2 + b^2
h = √(3^2 + 13^2)
h = √(9+169)
h= √(178)
h= 13.34 mi
Answer:
≈ 13.3 miles
Step-by-step explanation:
a line due west and a line due south form a right triangle with the hypotenuse being the direct distance x from the house.
using Pythagoras' identity in the right triangle , then
x² = 13² + 3² = 169 + 9 = 178 ( take square root of both sides )
x = [tex]\sqrt{178}[/tex] ≈ 13.3
distance from house ≈ 13.3 miles ( to the nearest tenth )
5. Paris wants to leave a message on 8 of her
friends' social networking sites. In how
many ways can she leave a message on
her friends' sites?
Answer:
infinite because she can write as mutcha nd on as many asshe wats
Find the slope of the graphed line.
Multiple choice question.
A)
4/3
B)
3/4
C)
−4/3
D)
−3/4
Answer:
3/4 shall be our slope.
Step-by-step explanation:
You can solve the slope by doing this formula y₂ - y₁ / x₂ - x₁ = slope.
Your coordinates:
(-4,0) and (0,3)
You have to set up your formula:
3 is the y2 and 0 is the y1
3-0 for y so far.
Now, set up the x's
0 is our x2 more known as our second x
Then our x1 is -4
0 - (-4).
Our Formula:
3-0 / 0+4
**Notice the negatives canceled to a positive due to the rule.**
3/4 shall be our slope.
You could've also risen and run starting from (-4,0) to (0,3) to get a slope of 3/4.
What is the inverse of y = x2 + 16
Answer:
[tex] {y}^{ - 1} = \sqrt{x - 16} [/tex]
Step-by-step explanation:
To find the inverse of this function, we make "x" the subject of the equation .[tex]y = {x}^{2} + 16 \\ {x}^{2} = y - 16 \\ x = \sqrt{y - 16} [/tex]then we interchange "y" and "x" .[tex]hence \: the \: inverse \: is \\ {y}^{ - 1} = \sqrt{x - 16} [/tex]The Brittle Bird Store prepares bird-seed blends by mixing sunflower seeds and millet and packaging them in 5-pound bags for sale. Sunflower seed (s) is regularly sold for $1.75 per pound, and millet (m) is sold for $2.50 per pound. The mixture is sold for $11.60.
How many pounds of sunflower seed does the mixture contain?
3.8 pounds
3 point 8 pounds
1.2 pounds
1 point 2 pounds
2.9 pounds
2 point 9 pounds
2.1 pounds
Answer:
Hai! saya dari Indonesia! salam kenal yaa ^^ oh ya maaf tidak bisa menjawab pertanyaan kamu ^^
The polygon has six sides. find the length of each side of the polygon
Answer:
question is incomplete,there must be something else too
Step-by-step explanation:
i hope this help you and have a great day
The annual commissions per salesperson employed by a retailer of mobile communication devices are normally distributed, and averaged $40,000, with a standard deviation of $5,000. what percent of the salespersons earn between $32,000 and $42,000?
Using the normal distribution, it is found that 60.06% of the salespersons earn between $32,000 and $42,000.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 40000, \sigma = 5000[/tex]
The proportion of salespersons that earn between $32,000 and $42,000 is the p-value of Z when X = 42000 subtracted by the p-value of Z when X = 32000, hence:
X = 42000:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{42000 - 40000}{5000}[/tex]
Z = 0.4
Z = 0.4 has a p-value of 0.6554.
X = 32000:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{32000 - 40000}{5000}[/tex]
Z = -1.6
Z = -1.6 has a p-value of 0.0548.
0.6554 - 0.0548 = 0.6006 = 60.06%.
60.06% of the salespersons earn between $32,000 and $42,000.
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Answer: 60.06% of the salespersons earn between $32,000 and $42,000.
The table shows the rainfall in four towns on the same day.
Town
Morristown 3 9/16
Brighton 3 5/16
Pine Grove 3 13/24
Springfield 3 8/12
Which town had more rain, Brighton or Springfield? Morristown or Pine Grove?
Answer:
Springfield trust me it is the only one that makes sense
Kevin has 17 trading cards. Billy has more trading cards than Kevin. Choose the expression that shows how many trading cards Billy has.
A. t
B. t+17
C.17-t
D.t-17
Answer:
t + 17
Step-by-step explanation:
it’s this because, t + 17 = more than what Kevin has t = 17 I’m assuming which is why it’s B. Or t + 17.
A square has a side length of 7 ft. Find the area of the square in feet.
Answer:
49 ft²
Step-by-step explanation:
The sides of a square are all the same. This means if one of the sides is 7 ft then the others will be too.
To work out the area you have to times two of the sides together.
7x7=49
Landon draws a quadrilateral that is not a rhombus. which features could her quadrilateral have?
choose each correct answer. 4 sides
4 square corners
sides that are all the same length
2 sets of opposite sides that are the same length
sides that are all different lengths
sides that are all the same length
Find the value of x in the parallelogram below
Answer:
102° is the value of x
Step-by-step explanation:
A = 78°
B = x
C = 78°
D = x
All angles of parallelogram = 360°
→ A + B + C + D = 360°
→ 78° + x + 78° + x = 360°
→ 156 °+ 2x = 360°
→ 2x = 360° - 156°
→ x = 204/2
→ [ x = 102° ]
Hence, the value of x is 102°.
plssss i need help
ASAPP
Answer:
1 ) 1 cubic centimeter = 0.000001 cubic meters
2 ) 4 cubic meters = 4000000 centimeters
3 ) 948 cubic meters = 948000 liters
Step-by-step explanation:
1 )
Conversion
1 centimeter = 0.01 meters
1 cubic centimeter
= 0.01 x 0.01 x 0.01
= 0.000001 cubic meters
72 cubic meters
= 72 x 0.000001
= 0.000072 cubic centimeters
2 )
Conversion
1 meter = 100 centimeter
1 cubic meter
= 100 x 100 x 100
= 1000000 cubic centimeters
4 cubic meters
= 4 x 1000000
= 4000000 centimeters
3 )
Conversion
1 cubic meter = 1000 liters
948 cubic meters
= 948 x 1000
= 948000 liters
Natalia paid $38.95 for three medium-sized pizzas and a salad. if Natalia paid $11.98 for the salad, which equation can be used to find how much did each pizza cost?
A. 3m + $11.98 = $38.95
B. 4m + $11.98 = $38.95
C. 3m + $38.95 = $11.98
D. none of these
PLEASE HELP!!
Answer:
A
Step-by-step explanation:
$38.95 for 3 m size pizzas and a salad
38.95 = 3m + 11.98
Answer:
3m+$11.98=$38.95
Step-by-step explanation:
$11.98=one salad ,
3m=The price of three medium-sized pizza &
$38.95=The price of three medium-sized pizza & a salad
Consider the quadratic inequality, x^2 - 3x < 10. When you solve the inequality the solution is -2
Answer:
−2<x<5
Step-by-step explanation:
x2−3x=10
x2−3x−10=10−10(Subtract 10 from both sides)
x2−3x−10=0
(x+2)(x−5)=0(Factor left side of equation)
x+2=0 or x−5=0(Set factors equal to 0)
x=−2 or x=5
Check values in the intervals to see if they work.
x<−2(Doesn't work in original inequality)
−2<x<5(Works in original inequality)
x>5(Doesn't work in original inequality)
So, the proper answer for me is −2<x<5.
What is an equation of the line that passes through the points (-5, -1) and
(5, -3)?
The answer is
[tex]y = - \frac{1}{5} x - 1.2[/tex]
or you can replace -1/5 with -0.2
follow the procedures in the attachment please.
Answer plsss my cousin need it!:(
Answer:
Step-by-step explanation:
For a graph, put the bottom(x) with the teachers and the side(y) with the number of students. Maybe that kind of helps? You can choose how you want to space out the numbers on the side
Step-by-step explanation:
a pie chart is a circle with differently sized pizza slices designating how many or how much in every category in relation to the whole (the full circle).
a full circle = 360°.
the listed teachers together have obviously 200 students.
that means 200 is the whole, and correlates to 360° (everything takes the whole circle).
20 students for Michelle means then 20 of 200 :
20/200 = 1/10 = 360/10 = 36°
38 students for Rose Grace.
38/200 = 19/100 = 19×360/100 = 0.19 × 360 = 68.4°
28 students for Melanie.
28/200 = 7/50 = 7×360/50 = 7×36/5 = 50.4°
36 students for Joy.
36/200 = 9/50 = 9×360/50 = 9×36/5 = 64.8°
42 students for Josephine.
42/200 = 21/100 = 21×360/100 = 21×36/10 = 75.6°
36 students for Daisy.
36/200 = 9/50 = 9×360/50 = 9×36/5 = 64.8°
you need to draw a circle with the sectors having the listed degrees. of course, you round to the nearest full degree.
if done right, these sectors fill the whole circle.
Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 9) would represent a height of 9 inches after 0 hours.
A function assigns the values. The list of 6 ordered pairs to show the height of the candle inches are (1,8.5), (1,8), (1,7.5), (1,7), (1,6.5), and (1,6).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The rate at which the candle burns down is 0.5 inches per hour. Now, if we substitute the value of the point (0,9) in the function of a line, and the rate as well, we will get,
y = mx +c
9 = -0.5(0) + c
c = 9
Now, the equation that can represent the height of the candle at any hour after it is lit will be,
y= -0.5x+9
substitute the value of x as 1, 2, 3, 4, 5, and 6 to get the value of y and form ordered pairs.
y=-0.5(1)+9 = 8.5 inches ⇒ (1,8.5)y=-0.5(2)+9 = 8 inches ⇒ (1,8)y=-0.5(3)+9 = 7.5 inches ⇒ (1,7.5)y=-0.5(4)+9 = 7 inches ⇒ (1,7)y=-0.5(5)+9 = 6.5 inches ⇒ (1,6.5)y=-0.5(6)+9 = 6 inches ⇒ (1,6)Hence, the list of 6 ordered pairs to show the height of the candle inches are (1,8.5), (1,8), (1,7.5), (1,7), (1,6.5), and (1,6).
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anyone knows the answer?!
Answer:
x = 3
Step-by-step explanation:
the axis of symmetry is a vertical line passing throught the vertex with equation
x = c ( where c is the value of the x- coordinate of the vertex )
vertex has coordinates (3, - 1 ) with x- coordinate 3 , then
equation of axis of symmetry is x = 3
Answer:
Your Answer is D. x = 3
Step-by-step explanation:
The axis of symmetry is x = 3.
I have copied your graph to appear to be this equation.
y = 2 * (x-3)^2 - 1
Hannah has a chicken coop with six hens. Let X represent the total number of eggs the hens lay on a random day. The distribution for X is given in the table.
A 2-column table with 7 rows. Column 1 is labeled number of eggs with entries 0, 1, 2, 3, 4, 5, 6. Column 2 is labeled probability with entries 0.02, 0.03, 0.07, 0.12, 0.30, 0.28, 0.18.
What is the probability that the hens lay more than two eggs?
0.07
0.12
0.88
0.95
The probability that the hens lay more than two eggs is 0.80
How to determine the probability?The probability that the hens lay more than two eggs is calculated using:
P(x > 2) = P(3) + P(4) + P(5) + P(6)
Using the data on the table, we have:
P(x > 2) = 0.12 + 0.30 + 0.2 +, 0.18.
Evaluate the sum
P(x > 2) = 0.80
Hence, the probability that the hens lay more than two eggs is 0.80
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Answer:
C. 0.88
Step-by-step explanation:
you just add all the probabilities for more than 2 eggs
0.12 + 0.30 + 0.28 + 0.18 = 0.88
What inequality does the number line show
x>3
Inequalities with one variable are plotted on a number line, with the output representing the solution to the inequality. A number line is used to graph a linear inequality with only one variable. Two-dimensional graphs plot linear inequalities with two variables because the output gives the solution to both variables.
Answer:
x>3
Step-by-step explanation:
on a number line, an open circle indicates that the given value (3) isnt included and you would use < or >. a closed (filled in) means that the given value is included and u would use ≤ or ≥. the direction of the arrow (left of right) indicates if the values will be greater than or less than the value indicated by the circle (3). Here, the arrow is pointing right meaning that the values are getting larger until infinity starting at 3 (3 isnt included because of the open circle)
please help. please i beg.
Answer:
Step-by-step explanation:
Don't make life difficult with decimals. First multiply both sides with 10 to get rid of decimals.
10 (3x^2 + 2.5x) = 10 (12.5)
30x^2+ 25x = 125 (now rearrange to write in quadratic form)
30x^2 + 25 x - 125 = 0 (now we know a = 30, b= 25, c = -125)
Final answer x = 5/3 , -5/2
Two days ago, Susan was 18. Yesterday was her birthday and she is now 19. Next year, she will be 21. When is her birthday?
Answer:
New Years Eve I think?
Step-by-step explanation:
It kinda makes sense.
Dr. Strauss has a bottle that contains 18 ounces of medicine. How many one-fourth ounce doses are in 18 ounces?
Answer: 72 one-fourth ounce doses in 18 ounces
Step-by-step explanation:
1/4's in 1 is 4.
18x4=72
The region r is enclosed by the curves y=4-4x2 and y=0
The region r is enclosed by the curves y₁ = 4 - 4x² and y₂ = 0 is 16/3 or 5.333 square units.
What is an area bounded by the curve?When the two curves intersect then they bound the region is known as the area bounded by the curve.
The region r is enclosed by the curves y₁ = 4 - 4x² and y₂ = 0
The intersection points will be
y₁ = y₂
4 - 4x² = 0
x = ±1
Then the area bounded by the curves will be
[tex]\rm Area = \int _{-1}^1 (y_1- y_2) dx\\\\Area = \int _{-1}^1 (4 - 4x^2) dx\\\\Area = \left [ 4x - \dfrac{4x^3}{3} \right ]_{-1}^1\\\\Area = 4 \left ( 1 + 1 \right ) - \dfrac{4}{3} \left ( 1^3 - (-1)^3 \right )\\\\Area = 8 - \dfrac{8}{3}\\\\Area = \dfrac{16}{3} = 5.333 \[/tex]
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Determine the slope of the line that runs through points (-3,6) And (0,-8) using the slope formula.
YT -- YT
M= --------------
X2 – X2
Answer:
-14/3
Step-by-step explanation:
6 - (-8) 14
---------- = --------
-3 - 0 -3
[tex]\large\textsc{answer :}[/tex]
Pls refer to "calculations" !
[tex]\large\textsf{\textbf{Calculations :}}[/tex]
[tex]\boxed{\\\begin{minipage}{3cm}\xrightarrow{slope \:formula : }\\ $\displaystyle\frac{y2-y1}{x2-x1} \\ \end{minipage}}[/tex]
[tex]\boxed{\\\begin{minipage}{3cm}\xrightarrow{slope\:of\:line\::} \\ $\displaystyle\frac{-8-6}{0-(-3)} \\ \end{minipage}}[/tex]
Simplify as follows :
[tex]\boxed{\\\begin{minipage}{3cm}\xrightarrow{slope\:of\:line\:: }\\ $\displaystyle\frac{-14}{0+3}$ \end{minipage}}}[/tex]
[tex]\boxed{\\\begin{minipage}{3cm}\xrightarrow{slope\:of\:line\::}$-\displaystyle\frac{14}{3}$ \\ \end{minipage}}[/tex]
[tex]\texttt{F}\textbf{I}\textsf{N}\pmb{A}\rm{L}\:\textsf{A}\textbf{N}\texttt{S}\rm{W}\sf{E}\mathbb{R}\::[/tex]
[tex]\text{$-\displaystyle\frac{14}{3} $}[/tex]
[tex]\small{\textsc{hope\:helpful~}[/tex]
classify 24 as a polynomial by degree and number of terms
PLEASE PLEASE I NEED THIS
the number changes by the degree so you need to multiply it.
please help me on this my moms really mad at me
A spinner is divided into 8 identical sectors and labeled 1 through 8.
How many spins are expected for a multiple of 3 to be spun 6 times?
The spinner is expected to have to spin approximately ______ times for a multiple of 3 to be spun 6 times.
Question 8 options:
12
16
24
48
Answer:
The answer is 12
Step-by-step explanation:
1-8(6)
The multiples of 3 would be 3 and 6.
3 and 6 are found 12 times within those 6 spins
For one spin
Sample space ={1,2,..,8}So
|S|=8Elements which are multiple of 3
3,6So
Total probability
2/8=1/4Now
For 6 spins
Total time spins as multiple of 3
2(6)=12 times