Answer:
(a) (0.9240, 0.956)
(b) (0.6383, 0.7017)
Step-by-step explanation:
The number of internet users involved in the survey, n = 846
The percentage of the respondents that said the internet has been good thing for them personally, [tex]\hat p[/tex] = 94%
(a) The confidence interval of a percentage is given as follows;
[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
The z-value for 95% confidence interval = 1.96
We get;
[tex]CI=0.94\pm 1.96\times \sqrt{\dfrac{0.94 \times (1-0.94)}{846}} \approx 0.94 \pm 1.6003 \times 10^{-2}[/tex]
CI = 0.9240 ≤ [tex]\hat p[/tex] ≤ 0.956 = (0.9240, 0.956)
(b) The percentage of the internet users that said the internet has directly strengthened their relationship with their families, [tex]\hat p[/tex] = 67% = 0.67
The 95% confidence interval is therefore;
[tex]CI=0.67\pm 1.96\times \sqrt{\dfrac{0.67 \times (1-0.67)}{846}} \approx 0.67 \pm 3.1686\times 10^{-2}[/tex]
From which we have;
CI = 0.6383 ≤ [tex]\hat p[/tex] ≤ 0.7017 = (0.6383, 0.7017)
Asphere has a diameter of 20 ft What is its surface area?
The surface area of the sphere is?
Answer:
1256 ft²
Step-by-step explanation:
20 ÷ 2 = 10
4πr²
4 × 3.14 × 10²
4 × 3.14 × 100
4 × 314
1256
Kelsey is collecting milk from dairy farms that will be taken and made into cheese.
The distance from one farm to the next is 6 miles. What is the distance between
the two dairy farms on a map with a scale of 1 inch = 2 miles?
Answer:
22miles
Step-by-step explanation:
====================================
Explanation:
The problem states that 1 inch on paper corresponds to 2 miles in real life, hence the 1 inch = 2 miles.
Multiply both sides by 3 so we turn that "2 miles" into "6 miles"
1 inch = 2 miles
3*(1 inch) = 3*(2 miles)
3 inches = 6 miles
-------------
We could also solve like this
(1 inch)/(2 miles) = (x inches)/(6 miles)
1/2 = x/6
1*6 = 2*x ... cross multiply
6 = 2x
2x = 6
x = 6/2
x = 3
3 inches on paper correspond to 6 miles in real life.
Type the number in standard form
5.8 x 10^-2
Answer:
0.058
Step-by-step explanation:
¿Cuanto es el 15% de 9,000?
Answer:
10% = 900
5% = 450
15% = 1,350
Please brainliest
syd is on a cliff 43 feet above sea level ingrid dove into the sea and took photos of fish at 17 feet below sea level how far apart are syd and ingrid?
Answer:
60 ft
Step-by-step explanation:
Position of Syd = +43
Position of Ingrid = - 17
To find the distance between them, add the absolute value
I +43 I + I-17I = 43 + 17 = 60
Answer:
let's take the postion of sea level 0
such that
syds on a cliff 43 ft above sea level
his position = 43 ft
Ingrid is 17 feet below sea level so his position = 17 ft in the opposite direction as that of Syd.
since syd is 43 feet away from sea level, that is 0, and sea level is 17 feet away from Ingrid.
distance between syd and Ingrid = 43 + 17
= 60 ft
Find the slope from the two points given: (-4, 2) and (5, 6) *
Answer:
Slope = 4/9
Step-by-step explanation:
x1(-4,2)
x2(5,6)
Slope,
m = (y2-y1)/(x2-x1)
= (6-2)/(5--4)
=4/9
suppose a line has slope -2/3 and passes through the point (1, 8). which other point must also be on the graph
A (7, 4)
B (7, 12)
C (-5, 4)
D(-5, -12)
Answer:
A(7,4)
Step-by-step explanation:
-2/3 is the slope and the slope is the rise over the run, and we know it passes through the point (1,8).
Next, we can create a chart/table
X int-1+3=4, 4+3=7
Y int-8-2=6,6-2=4
1st point: (4,6)
2nd point: (7,4)
Hope I helped, have a nice day :)
h (p) = p2 – 3p, find h (2)
Answer:
-2
Step-by-step explanation:
see Image below:)
What is the area of the shaded portion of the circle?
9514 1404 393
Answer:
(a) (5π -11.6) ft²
Step-by-step explanation:
The shaded area is the area of 1/5 of the circle less the area of the triangle with base 5.8 ft and height 4 ft.
shaded area = 1/5(π(5 ft)²) -(1/2)(5.8 ft)(4 ft)
shaded area = (5π -11.6) ft²
I don't understand math...i probably never will
Answer:
1/2 9/8
17/12 23/30
81/70 2/3
Step-by-step explanation:
I ordered it the way it appears in the image.
Tamika was buying 12-packs of soda. Each pack cost $3.50. If she spent $49.00, how many 12-packs did she buy?
Answer:
Number of 12-packs = 14
Step-by-step explanation:
Cost Number of 12-packs
3.50 1
49.00 x
[tex]\frac{1}{x} = \frac{3.50}{49}\\\\1 \times 49 = 3.50 \times x\\\\\frac{49}{3.50} = x\\\\x = 14[/tex]
Number of 12-packs for $49 = 14
pleaseeee help ty!
:)
Problem 3
Answer: 1/5 of a gallon per minute-------------------------
Explanation:
Two points from the graph are (10,2) and (20,4)
Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (4-2)/(20-10)
m = 2/10
m = 1/5
The slope of the graph is 1/5.
Do the same for two points from the table. I'll use the first two rows
m = (y2-y1)/(x2-x1)
m = (4-2)/(10-5)
m = 2/5
The slope of the table is 2/5.
Subtract the two slopes to wrap things up:
2/5 - 1/5 = (2-1)/5 = 1/5
=====================================================
Problem 5
Answer: 23 degrees------------------------
Explanation:
Angles 1 and 3 are same side exterior angles, so they are supplementary due to the parallel lines set up here.
(angle1)+(angle3) = 180
(157) + (angle3) = 180
angle3 = 180-157
angle3 = 23 degrees
Pls help with this one question
Answer:
19
Step-by-step explanation:
Cause it’s angle on a straight line which is equals to 180
A group of people who gathered to watch a baseball game voted for their favorite teams.
New York Mets 4
Washington Nationals 1
Toronto Blue Jays 5
What is the probability that the favorite team of a randomly selected baseball fan is the Toronto Blue Jays?
Write your answer as a fraction or whole number.
P(Toronto Blue Jays) =
Answer:
sdfgafddasfadfs
Step-by-step explanation:
dfsadsafdsfadfsadsfasdfa
A rectangle has a vertices E(-4,8),F(2,8),G(2,-2) and H(-4,-2). The rectangle is dilated with the origin as the center of dilated so that G is located at (5,-5). Which algebraic representation represents this dilation.
A. (x,y)—> (x+3, y+3)
B. (x,y)—> ( 2/5x, 2/5y)
C. (x,y)—>(x -5, y -5)
D. (x,y)—> (2.5x, 2.5y)
Answer:
C
Step-by-step explanation:
6 PERSONAS DEBEN VIAJAR EN UN AUTO DE 7 PASAJEROS. PERO SOLO 3 SABEN MANEJAR, DE CUANTAS MANERAS DIFERENTES SE PUEDEN ACOMODAR?
Answer:
3C1 * 7C6 * 3C2 * 3C3
Step-by-step explanation:
Dado que solo tres saben cómo conducir, de estos tres uno estará en la posición de conducción, por lo tanto, el número de formas en que este conductor puede elegir entre estos tres es 3C1 * 7C6
Ahora, 2 de los conductores se sentarán en los asientos de los pasajeros junto con otros tres 3C2 * 3C3
Número total de oportunidades = 3C1 * 7C6 * 3C2 * 3C3
Mark, Jessica, and Nate each downloaded music from the same website. Mark downloaded 10 songs in total consisting of pop, rock, and hip hop. Jessica
downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.
Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.
Which system of equations represents their music choices?
Answer:
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
Step-by-step explanation:
Let
x = number of pop song downloaded by Mike
y = number of rock song downloaded by Mike
z = number of hip song downloaded by Mike
Mark downloaded 10 songs in total consisting of pop, rock, and hip hop
Mark:
x + y + z = 10
Jessica downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.
Jessica:
5x + 2y + 3z = 28
Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.
Nate:
3x + 3y + z = 20
The following system of equations represents their music choices
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
Answer:
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
Step-by-step explanation:
Let
x = number of pop song downloaded by Mike
y = number of rock song downloaded by Mike
z = number of hip song downloaded by Mike
Mark downloaded 10 songs in total consisting of pop, rock, and hip hop
Mark:
x + y + z = 10
Jessica downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.
Jessica:
5x + 2y + 3z = 28
Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.
Nate:
3x + 3y + z = 20
The following system of equations represents their music choices
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
Step-by-step explanation:
here it is help!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
1.6/x=3/8
do cross multiplication
x*3=6*8
x=48/3
x=16
2.b/8=3/4
do cross multiplication
b*4=8*3
b=24/4
b=6
4.n/8=35/7
do cross multiplication
35*8=7*n
280=7n
280/7=n
40=n
In a store 3% of eggs are cracked. If you buy one dozen eggs what is the probability that
a) exactly 2 eggs are cracked?
b) exactly 4 eggs are cracked?
Answer:
0.36
Step-by-step explanation:
what is the value of 1 in 915,342,760
the 1 is in the 10 million place
Someone please help ASAP!
Solve using the quadratic formula. Approximate answers to the nearest tenth.
Help
Answer:
x = 2.4 or x = 0.3
Step-by-step explanation:
3x² - 8x + 2 = 0
Quadratic formula
x = {-b ±√b² - 4ac} / 2a
a = 3
b = -8
c = 2
x = {-b ±√b² - 4ac} / 2a
= {-(-8) ±√(-8)² - 4*3*2} / 2*3
= (8 ± √64 - 24) / 6
= (8 ± √40) / 6
= (8 ± 2√10) / 6
= 8/6 ± 2√10/6
= 4/3 ± √10 / 6
x = 4/3 + √10 / 6 or 4/3 - √10 / 6
x = 2.4 or x = 0.3
pls answer correct or i will ban you
And I will mark brainlist whoanewers correct
Since segment AC bisects (aka cuts in half) angle A, this means the two angles CAB and CAD are the same measure. I'll refer to this later as "fact 1".
Triangles ABC and ADC have the shared segment AC between them. By the reflexive property AC = AC. Any segment is equal in length to itself. I'll call this "fact 2" later on.
Similar to fact 1, we have angle ACB = angle ACD. This is because AC bisects angle BCD into two smaller equal halves. I'll call this fact 3
----------------------
To summarize so far, we have these three facts
angle CAB = angle CADAC = ACangle ACB = angle ACDin this exact order, we can use the ASA (angle side angle) congruence property to prove the two triangles are congruent. Facts 1 and 3 refer to the "A" parts of "ASA", while fact 2 refers to the "S" of "ASA". The order matters. Notice how the side is between the angles in question.
------------------------
Once we prove the triangles are congruent, we use CPCTC (corresponding parts of congruent triangles are congruent) to conclude that AB = AD and BC = BD. These pair of sides correspond, so they must be congruent in order for the entire triangles to be congruent overall.
It's like saying you had 2 identical houses, so the front doors must be the same. The houses are the triangles (the larger structure) and the door is an analogy to the sides (which are pieces of the larger structure).
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
A = 20
Step-by-step explanation:
1) Find the distance between -49.75 and 31.5 on a number line.
Answer:
81.25
Step-by-step explanation:
Because you want to know the total distance, calculate how many digits -49.75 is away from 0. It is 49.75 digits away from 0.
Now calculate how many digits 31.5 is away from 0. It is 31.5 digits away from 0.
Finally, add those two distances together so that you know the total distance:
49.75+31.5 = 81.25
Answer:
in the picture
HOPE ITS HELP
Standard fom: 4x20x² 24x
what is the Leading coefficient
Explain the behavior base on the
degree and leading coefficient?
Answer:
that is behavior that coefficient
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
radius is 4 meters long.
Answer:
Step-by-step explanation:
Which graph shows the solution to the inequality (x+3/22?
Answer:
No 2
Step-by-step explanation:
What is the slope of the line through the points (-2, -1) and (4, 3)?
Answer: [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Answer:
m=2/3
Step-by-step explanation:
Identify the coordinates (x₁,y₁) and (x₂,y₂) . ...
Input the values into the formula. (-2,-1) (4,3) the formula is (y1-y2)/(x1-x2)
Subtract the values in parentheses to get 4/6
Simplify the fraction to get the slope of 2/3
Campus sold 400 tickets to a varsity basketball game. Tickets are were $5 for students / children tickets and $9 for adults. The total ticket receipts for the game were $2,632. Using x for student/children tickets and y for adult tickets ; write a system of equations for this scenario.
Answer:
x + y = 400
5x + 9y = 2632
Step-by-step explanation:
