A national health organization warns that alcohol use among middle school students is on the rise. Concerned, a local health agency randomly and anonymously surveys 110 of the middle school students in its city. 21 of them report having been intoxicated. Create a 90% confidence interval. Find p-hat. (p -hat = x/n)
Answer:
CI 90 % = [ 0,05 ; 0,16 ]
Step-by-step explanation:
From sample we got
n = 110
x = 21
p = 21/110 = 0.19 then q = 1 - p q = 1 - 0.19 q = 0.81
To create a 90 % confidence Interval, the significance level α = 10 %
α = 0.1 α/2 = 0.05
t(c) for α/2 = 0.05 is from z-table z(c) = 1.64
CI 90 % = ( p ± z(c) * √(p*q)/n
CI 90 % = [ 0,11 ± 1.64 * √ (0.19*0.81)/110 ]
CI 90 % = [ 0.11 ± 1.64 * 0.037 ]
CI 90 % = [ 0.11 ± 0,06 ]
CI 90 % = [ 0,05 ; 0,16 ]
Madison used 4 pears and 12 apples to make a fruit salad. What is the ratio of the
number of pears to the number of apples in the fruit salad? (Simplify your answer)
The diameter of a circle is 8 feet. What is the length of a 45° arc?
Answer:
3.14 ft
Step-by-step explanation:
45/360 × 3.14 × 8
= 1/8 × 3.14 × 8 = 3.14 ft
Find the value of x such that the data set has the given mean.
Answer:
39.1
Step-by-step explanation:
31.7 + 42.8 + 26.4 = 100.9
35 times 4 = 140
140 - 100.9 = 39.1
Answer:
[tex]mean = \frac{31.7+42.8+26.4+x}{4} \\\\35 = \frac{31.7+42.8+26.4+x}{4} \\\\\\35*4 = 31.7+42.8+26.4+x \\\\140 = 100.9 + x\\\\x= 39.1[/tex]
option 3
Carmen wants to join a gym. Gym A costs $26.76 plus an additional $4 for each visit. Gym B has no initial fee but costs $12.92 for each visit. After how many visits will both plans cost the same?
Answer:
After 3 visits both plans will cost the same.
Step-by-step explanation:
Gym A costs $26.76 plus an additional $4 for each visit.
Gym B has no initial fee but costs $12.92 for each visist.
The cost for gym A can be written as
C= $26.76 + 4(x) where x is the number of visits to the gym A
The cost for gym B can be written as
C= $12.92 (x) where x is the number of visits to the gym B
Both costs will be equal
12.92x= 26.76 +4x
12.92x-4x= 26.76
8.92x= 26.76
x= 26.76/8.92
x= 3
after 3 visits both plans will cost the same.
Check
12.92x= 26.76 +4x
12.92*3= 26.76 +12
38.76= 38.76
Quadrilateral WXYZ has vertices at the points W(-3,2), X(-1,3), Y(0,1), and Z(1,0). Find the slope of side xy.
Answer:
The slope of the side xy is -2
Step-by-step explanation:
To find the slope of the side xy, we use the slope formula
we have the formula as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (-1,3)
(x2,y2) = (0,1)
m = (1-3)/(0 + 1) = -2/1 = -2
Se arrastra un bloque de 18 kg a través de una superficie con una fuerza de 300 N en donde el coeficiente de fricción de dicha superficie es de 0.6 . Determine la aceleración resultante en m/s2 que lleva el bloque aproximando el resultado a las décimas.
Answer:
[tex]10.9\ \text{m/s}^2[/tex]
Step-by-step explanation:
m = Masa del bloque = 18 kg
F = Fuerza en el bloque = 300 N
[tex]\mu[/tex] = Coeficiente de fricción = 0.6
El equilibrio de fuerzas del sistema viene dado por
[tex]F-f=ma\\\Rightarrow 300-0.6\times 18\times 9.81=18a\\\Rightarrow a=\dfrac{300-0.6\times 18\times 9.81}{18}\\\Rightarrow a=10.9\ \text{m/s}^2[/tex]
La aceleración del bloque es [tex]10.9\ \text{m/s}^2[/tex].
Laurie is trying to stay within 10 feet of her current diving depth of -30 feet (with regard to sea level) so that the light
is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the
minimum and maximum depths Laurie wants to stay between?
-30 - x = 10 and -30 - x = -10
• -30 + x = 10 and -30 + x = -10
O x + 10 = 30 and x + 10 = -30
O x - 10 = 30 and x - 10 = -3
Answer:
[tex] \boxed{-30\:– \: x \:= \: 10 \: \: and \: -30 - x = -10} [/tex]
The equations can be used to find the minimum and maximum depths are (a) [tex]-30 - x = 10[/tex] and [tex]-30 - x = -10[/tex]
The current diving depth (d) is given as:
[tex]d = -30ft[/tex]
The position (p) she tries to stay is given as:
[tex]p = 10ft[/tex]
Represent the minimum and the maximum distances with x.
So, the distances are calculated using:
[tex]d - x = p[/tex] and [tex]d - x = -p[/tex]
Substitute values for d and p
[tex]-30 - x = 10[/tex] and [tex]-30 - x = -10[/tex]
Hence, the equations can be used to find the minimum and maximum depths are (a) [tex]-30 - x = 10[/tex] and [tex]-30 - x = -10[/tex]
Read more about absolute equations at:
https://brainly.com/question/5012769
what is the slope of a line perpendicular to line 6x + 3y = 15
Step-by-step explanation:
Given line is 6x+3y=15
Slope of the given line (m)=-x/y
=-6/3
=-2
let slope of the line perpendicular to the given line be m'.
Condition of perpendicularity,
m×m'=-1
-2×m'=-1
m'=-1/-2
m'=1/2
hii i’ll give brainliest please help thanks :)
Answer:
a
Step-by-step explanation:
simplify. please do it now i need help
Answer:
1/243 or 0.00411522…
Describe how the graphs of y = |x| and y = |x+2| are related.
A. The two graphs have the same shape but the second graph is shifted 2 units right.
B. The two graphs have the same shape but the second graph is shifted 2 units up.
C. The two graphs have the same shape but the second graph is shifted 2 units left.
D. The two graphs have the same shape but the second graph is shifted 2 units down.
Answer: C
Step-by-step explanation:
1/3 bigger than 5/9?
Answer:
No 1/3 is not greater than 5/9.
Step-by-step explanation:
The scatterplot below represents the number of hot drinks sold on a given
day versus the low temperature of that day. Of the following lines, which
best fits the data in the scatterplot?
Answer:
A) y=-1/2x+55
Step-by-step explanation:
We can clearly see a negative trend/association between the number of hot drinks sold on a given day and the low temperature of that day. Therefore, the slope of the best line of fit must be negative, eliminating D and E. Also, notice that when the low temperature is 0°F, the number of hot drinks sold is about 55, which is a good indicator of our y-intercept or constant, eliminating choice C. Because the best line of fit is not so steep, the slope will be closer to 0 if it's a negative trend. This eliminates choice B, making the correct answer A.
Circle G contains the diameter BC
Find the measure of x and y.
Answer:
x = 24°, y = 53°
Step-by-step explanation:
An inscribed angle is half the measure of its intercepted arc.
arc EC = 2 × ∠ EDC = 2 × 78° = 156°
x = arc BE = 180° - arc EC = 180° - 156° = 24°
------------------------------------------------------------------
arc CD = 2 × CED = 2 × 41° = 82°
arc BD = 180° - arc CD = 180° - 82° = 98° , then
∠ BCD = [tex]\frac{1}{2}[/tex] × 98° = 49°
Then
y + 78° + 49° = 180° (sum of angles in triangle )
y + 127° = 180° ( subtract 127° from both sides )
y = 53°
Ali and mo share a sum of money in the ratio ali : mo = 9 : 7 ali receives 600 more than mo calculate how much each receives
Step-by-step explanation:
Given :-
Ali and mo share a sum of money in the ratio ali : mo = 9 : 7 .Ali receives 600 more than mo .And we need to find out how much each receives .Let us take that
Mo received x .Ali will get x + 600.According to the Question :-
[tex]\implies \dfrac{9}{7}=\dfrac{x+600}{x}\\\\\implies 9x = 7x + 4200 \\\\\implies 2x = 4200 \\\\\implies x = 2100 [/tex]
Therefore :-
Ali = x+600 = 2700Mo = x = 2100Answer:
ali:mo=937.5 and 262.5
Pls I’m begging my soul
Answer:
2.
3p+15−8+11p
=3p+15+−8+11p
Combine Like Terms:
=3p+15+−8+11p
=(3p+11p)+(15+−8)
=14p+7
Answer:
=14p+7
3.
Let's simplify step-by-step.
14p+15−8
=14p+15+−8
Combine Like Terms:
=14p+15+−8
=(14p)+(15+−8)
=14p+7
Answer:
=14p+7
4. Factor 14p+7
14p+7
=7(2p+1)
Answer:
7(2p+1)
WILL GIVE BRAINLIEST+100 POINTS!!! HIGH SCHOOL GEOMETRY!!
SOLVE NUMBER 12
Somebody please help.
the area of a square is 225cm². On the map drawn to scale 1 : 3 find the area of the square
Answer:
25 cm^2
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
Area if a square = length²
225 = length²
length = √225
length = 15
if the map is drawn to scale of 1 : 3
the length on the map = 15/3 = 5
area of the square 5 x 5 = 25
What is the area, in square centimeters, of triangle Z?
9514 1404 393
Answer:
24 cm^2
Step-by-step explanation:
The base of ∆Z is 4 cm, and its height is 12 cm. The area is given by the formula ...
A = 1/2bh
A = 1/2(4 cm)(12 cm) = 24 cm^2 . . . area of Z
matthew made slightly larger blanket that was 8 Ft long. Its area is 64 sq ft what is its perimeter?
Answer:
32 ft
Step-by-step explanation:
Given data
Length= 8ft
Area= 64 f^2
Let us find the width
Area= Length*Width
64= 8* Width
Width= 64/8
Width= 8ft
Hence the perimeter= 2L+2W
P= 2*8+2*8
P= 16+16
P= 32 ft
2 and 2 over 5 plus 3 and 1 over 10
Answer:
2, 2/5 + 3, 1/10
2/5 + 3 = 3 2/5
Step-by-step explanation:
The table shows the heights of students in a group.
Student Height (in inches)
A 45
B 48
C 49
D 40
E 53
What is the mean height of the students in the group?
A 47 inches
B 49 inches
C 51 inches
D 53 inches
plzzz help
Answer:
A 47 inches
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
here are four fractions 2/5 11/30 1/2 7/15 write these fractions in order of size start with the smallest fraction
Answer:
11/30, 2/5, 7/15, 1/2
Step-by-step explanation:
2/5= 0.4
11/30= 0.36
1/2= 0.5
7/15= 0.46
BRAINLIEST + 10 POINTS
Answer:
area- 628
circumference- 62.8
Find the surface area of this shape
PLZ HELP, AM NEEDING TO TURN THIS IN TODAY!!
Answer:
16.64
Step-by-step explanation:
SA=H*B*0.5*4
SA=3.16*2*0.5*4
SA=12.64
AND THE BASE SURFER IS 2*2=4
SO 12.64+4=16.64
(50 points) Write an equation for the sine waves.
Answer:
It started from the Origin(Sine graph). It curved upwards immediately it started... Meaning graph's amplitude is gonna be positive one
The Equation for a sine graph is ASin[B(x-C)] + D
A=Amplitude
B= 2π/period
C= c value at the starting point.
D= y value at starting point
Let your Starting point be at the sinusoidal axis (Max + Min)/2.
Looking at this graph
Let's take 1cm on the y axis to be 1unit(1,2,3,4...)
On the x axis... let's take 1cm to be π units(π,2π,3π....)
To get the sinusoidal axis Max - Min/2
Since 1cm is 1unit
Max =1 (from the graph)
Min= -1
1-1/2 = 0
The axis is at the center of middle
Meaning
D=y=0(Its directly at the x axis)
From this axis at the origin... The graph goes... Intercept Maximum... intercept Minimum... Meaning its a Positive sine graph.
A=amplitude = 1cm
B=Period...(Time to complete one Oscillation)
It doesn't fall directly on an x value... It falls at the 1.9th position. or 19/10
B=2π/Period.
B=2π/19/10
B=2π x 10/19
B=20π/19
C=0
Writing the Equation
Y= 1Sin[20π/19(x-0)] +0
ie
Y = Sin [20πx/19]
My thoughts on it
Correct me if wrong... Thanks
A. What are the coordinates of the vertices of the triangle below?
B. Find each side length.
C. Classify the figure. Use coordinate geometry (i.e. Pythagorean Theorem, distance formula,
slope formula, etc.) and properties of triangles to justify your response.
Answer:
Solution given:
A.coordinate are
A(-2,3)
B(0,-3)
C(4,5)
B.Each length are :
we have
length [tex] \sqrt{(x2-x1)²+(y2-y1)²} [/tex]
now
AB:[tex] \sqrt{(-2-0)²+(3+3)²} [/tex]=[tex] 2\sqrt{10} [/tex]units
BC:[tex] \sqrt{(0-4)²+(-3-5)²} [/tex]=[tex] 4\sqrt{5} [/tex]units
AC:[tex] \sqrt{(-2-4)²+(3-5)²} [/tex]=[tex] 2\sqrt{10} [/tex]units
C. the figure:
By using Pythagoras law
base[b]=AB=perpendicular [p]=AC
hypotenuse [h]=BC
we have
h²=p²+b²
substituting value
([tex] 4\sqrt{5} [/tex])²=2p²
16*5=2*([tex] 2\sqrt{10} [/tex])²
80=2*4*10
80=80
SO IT IS RIGHT ANGLED ISOSCELES TRIANGLE.
Lillian has b buttons. She gives away 72 buttons. Write an expression that shows the number of buttons Lillian has left.
Answer:
b-72
Step-by-step explanation:
an expression does not have an answer. she has b amount of buttons and gives away 72.