Answer:
See below for all information
Step-by-step explanation:
Given Information
Observed Sample Proportion: [tex]p=\frac{33}{362}\approx0.0912[/tex]Hypothesized Population Proportion: [tex]p_0=0.10[/tex]Sample Size: [tex]n=362[/tex]Significance Level: [tex]\alpha=0.05[/tex]We should conduct a two-tailed one-proportion z-test (remember to double the p-value to consider both tails!)Assume conditions are metNull and Alternate Hypotheses
Null: [tex]H_0:p=0.10[/tex] (this tells us that the actual proportion of inaccurate orders of 10% is equal to the observed proportion of inaccurate orders)Alternate: [tex]H_1:p\neq0.10[/tex] (this tells us that the actual proportion of inaccurate orders of 10% is NOT equal to the observed proportion of inaccurate orders)Determine z-statistic
[tex]\displaystyle Z=\frac{p-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}=\frac{\frac{33}{362}-0.10 }{\sqrt{\frac{0.10(1-0.10)}{362}}}\approx-0.5606[/tex]
Determine p-value from z-statistic
[tex]2\cdot P(Z < -0.5606)=2\cdot\text{normalcdf}(-1E99,-0.5606)\approx2\cdot0.28753\approx0.5751[/tex]
Draw conclusion of p-value based on given significance level
Since [tex]p > 0.05[/tex], we fail to reject the null hypothesis. This means that we do have sufficient evidence to say that the observed rate of inaccurate orders is equal to 10%, making it extremely likely that the null hypothesis is true.
Proving Parallelogram
Answer:
Soln.
Given that we have proven:AB =CD and BC=DA
we will be said that the A and C is the angle of 90° and we will add the letters to get the results so let's started the A+90°+ 90°+ B+C+ D=90°
A+180°+B+C+D
180°+90°
=270°
Determine the exact value of sin 30° tan 45° + tan 30° sin 60⁰
Answer:
1.
Step-by-step explanation:
1) if sin30=0.5; tan45=1; tan30=1/√3; sin60=√3/2, then
2) 0.5+0.5=1.
A. 23.7
B. 11.2
C. 9.5
D. 57.3
E. 30.0
F. 6.0
Answer:
c.9.5
Step-by-step explanation:
im awesome so so very
The points A(4, 3) and B(4, –5) are plotted on the coordinate plane. Rectangle ABCD has a perimeter of 30 units. If points C and D were plotted on the grid shown, what would their coordinates be if point C is below point D? Alt_text C: ( , ) D: ( , )
The possible coordinates of C and D are: C = (11,3) and D = (11,-5) or C = (-3,3) and D = (-3,-5)
How to determine the coordinates of C and D?The given parameters are:
A = (4,3)
B = (4,-5)
Perimeter, P = 30 units
Since points A and B are on the same x-coordinate, then the distance between them is:
AB = 3 - - 5
AB = 8
The perimeter of the rectangle is calculated using:
P = 2 *(AB + CD)
This gives
2 * (8 + CD) = 30
Divide by 2
8 + CD = 15
Subtract 8 from both sides
CD = 7
This means that points C and D are 7 units from points A and B, respectively.
If A = (4,3) and B = (4,-5), then the possible coordinates of C and D are:
C = (11,3) and D = (11,-5) or C = (-3,3) and D = (-3,-5)
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What is the probability that a patient shows improvement
if it is known that the patient was given the drug?
Answer:
.3375
Explanation:
Total people who were given drug: 800
Total people who showed improvement: 270
Probability:
[tex]\boxed{ \sf \dfrac{favorable \ outcomes }{total \ possible \ outcomes}}[/tex]
insert values
[tex]\rightarrow \sf \dfrac{270}{800}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{27}{80}[/tex]
in decimals
[tex]\rightarrow \sf 0.3375[/tex]
Answer:
d) .3375Step-by-step explanation:
let E be the event : “the patient shows improvement”
D be the event : “the patient was given the drug”
here we are in a conditional probability situation:
Let E/D be the event “a patient shows improvement ,if it is known that the patient was given the drug”
[tex]p\left( E|D\right) =\frac{p\left( E\cap D\right) }{p\left( D\right) }[/tex]
[tex]=\frac{270}{800}[/tex]
[tex]=0.3375[/tex]
Marci needs to rent a storage. She needs to determine the volume of the storage unit. If the storage unit is 8 feet high, what is the volume of the storage unit
An aircraft is timetabled to travel from A to B. Due to bad weather it flies from A to C then from C to B, where AC and CB make angles of 27° and 66° respectively with AB. If |AC| = 220 km, calculate |AB|.
Answer:
|AB| = 240 km
Step-by-step explanation:
Finding ∠C :
⇒ 27° + 66° + ∠C = 180°
⇒ ∠C = 180° - 93°
⇒ ∠C = 87°
Applying the Law of Sines :
⇒ sin 66° / 220 = sin 87° / AB
⇒ 0.913545458 / 220 = 0.998629535 / AB
⇒ AB = 220/0.913545458 x 0.998629535
⇒ AB = 240.819981 x 0.998629535
⇒ AB = 240.489946
⇒ |AB| = 240 km (nearest whole kilometer)
Answer:
|AB| = 240 km (nearest km)
Step-by-step explanation:
Draw a sketch with the given information (attached).
Calculate the missing angle (shown in red on the attached diagram).
Given:
∠CAB = 27°∠CBA = 66°The interior angles of a triangle sum to 180°
⇒ ∠ACB + ∠CAB + ∠CBA = 180°
⇒ ∠ACB + 27° + 66° = 180°
⇒ ∠ACB = 180° - 27° - 66°
⇒ ∠ACB = 87°
Use Sine Rule for sides to calculate |AB|:
[tex]\sf \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
[tex]\implies \sf \dfrac{|AB|}{\sin ACB}=\dfrac{|AC|}{\sin CBA}[/tex]
[tex]\implies \sf \dfrac{|AB|}{\sin (87^{\circ})}=\dfrac{220}{\sin (66^{\circ})}[/tex]
[tex]\implies \sf |AB|=\dfrac{220\:\sin (87^{\circ})}{\sin (66^{\circ})}[/tex]
[tex]\implies \sf |AB|=240.4899459...[/tex]
[tex]\implies \sf |AB|=240\:km\:(nearest\:km)[/tex]
Solve the system of equations 3x - 2y = 8 x-2y = 4
Answer: (2, -1), or x = 2 and y = -1
By graphing:
We can solve by graphing. See attached.
-> The solution is the point of intersection. The lines intersect at (2, -1) which means x is equal to 2 and y is equal to -1.
By substituting:
We can solve this by substituting. It means we will substitute one equation into the other, then solve for the variables.
3x - 2y = 8
x - 2y = 4 -> x = 2y + 4
-
3x - 2y = 8
3(2y + 4) - 2y = 8
6y + 12 - 2y = 8
4y = -4
y = -1
-
x - 2y = 4
x - 2(-1) = 4
x + 2 = 4
x = 2
HELP PLEASE For the following right triangle, find the side length x.
Answer:
37
Step-by-step explanation:
use Pytago ( you can search it online )
What is the simplest form of
X^4 y^7/ 3sqrt x^10 y^4
Answer is D
Answer: The answer is Undefined (a/0)
I put a screenshot of how i got that answer
Answer: She's right, it is d
Step-by-step explanation:
Which is not a reason an athlete uses technology to assess performance?
A. To tailor to their training program.
B. To monitor development.
C. To send to college recruiters.
D. To analyze technique.
Answer:
C.) To send to college recruiters
Step-by-step explanation:
The correct answer is C.) because this answer choice has nothing to do with assessing an athlete's performance. All of the other options involve assessing performance in some manner. An athelete's performance is directly tied to their training program, development, and technique.
−8 ≤ −3; Add 11 to both sides
The resulting inequality is:
Answer:
True, (-∞, ∞) 3 ≤ 8
Step-by-step explanation:
−8 + 11 ≤ −3 + 11
3 ≤ 8
Find the area of the following figure.
300 cm2
312 cm2
252 cm2
400 cm2
Answer:
312cm2
Step-by-step explanation:
16*12=192
10*6/2=30
30*4=120
192+120=312
the table represent a function? Why or why not?
A. Yes, because every x-value corresponds to exactly one y-value.
B. No, because the y-values are positive.
C. Yes, because there are different y-values.
D. No, because one x-value corresponds to two different y-values.
Answer:
D is the answer I'm pretty sure
Step-by-step explanation:
6 has to y values
hhelp plssssssssssssssssssssssssssss
Answer:
This is false
Step-by-step explanation:
8th grade distributive property equations and solutions
The value of x will be given as for the given expression X = -1
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
2x + 12 = 10
2x = 10 - 12
2x = -2
x = -1
first you distribute 2 to x and 6 which equals 2x+12=10 then you subtract 12 from 10 which equals 2x=-2 then divide -2 by 2x to see what x equals so x=-1
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Ron runs a hot question ( need answer)
Answer:
The price of a hot dog decreases between the third and sixth month:
True
The price of a hot dog increases between the sixth and ninth month:
False
The price of a hot dog increases constantly between the ninth and twelfth month:
True
Hope this helps! If anything is wrong, feel free to comment down below so I can change my answer for future users!
Hello everyone!!
This is easy;
[tex] \frac{5x}{2} + \frac{9}{5} = 25[/tex]
[tex] \frac{5x}{2} + \frac{9}{5} = 25 \\ \frac{25x + 18}{10} = 25 \\ 25x + 18 = 250 \\ \frac{250 - 18}{25} = x \\ x = \frac{232}{25} [/tex]
hope it helps
Please refer to the attachment
exam tomorrow need help
Answer:
See below ~
Step-by-step explanation:
The perimeter of a figure refers to the sum of the side lengths of its edges.
Figure (a) : Triangle
⇒ P = 2a + 1 + 3a + a - 4
⇒ P = 6a - 3
⇒ P = 3 (2a - 1)
Figure (b) : Hexagon
⇒ P = 3m - 1 + 3n + n + m + 3m + 1 + 4n + m + n + 2
⇒ P = 3m + m + 3m + m + 3n + n + 4n + n + 1 - 1 + 2
⇒ P = 8m + 9n + 2
Figure (c) : Trapezoid
⇒ P = 2a + 3 + 3a - b + 2a + 2b - 4 + b + 4
⇒ P = 2a + 3a + 2a + 2b + b - b + 4 - 4 + 3
⇒ P = 7a + 2b + 3
Madison is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she spins a spinner with three equal-sized sections labeled Walk, Run, Stop and spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange?
Answer:
12.
Step-by-step explanation:
There are 3 * 4 = 12 possible outcomes
for example
Walk / Red
Walk/Green
Walk/Blue
Walk/Orange
- and there are 4 similar outcomes for Run and Stop.
does anyone know the answer?
Answer: Choice A
40.61 square meters
==========================================================
Explanation:
The area of a full circle is
A = pi*r^2
meaning half of it (aka semicircle) will have this area
A = 0.5*pi*r^2
The diameter of the semicircle is 5.4 meters, which divides in half to get the radius of r = 2.7
The semicircle has an area of...
A = 0.5*pi*r^2
A = 0.5*3.14*(2.7)^2
A = 11.4453
which is approximate since pi = 3.14 is approximate.
Now compute the area of the triangle
area = base*height/2 = 5.4*10.8/2 = 29.16
Then add those sub-areas to get the grand total area.
semicircleArea + triangleArea = 11.4453+29.16 = 40.6053
That rounds to 40.61 which shows why choice A is the answer.
If P is directly proportional to Q. And Q = 30 when P = 40. Find Q when P = 70
Answer:
Q = 52.5
Step-by-step explanation:
given P is directly proportional to Q then the equation relating them is
P = kQ ← k is the constant of proportion
to find k use the condition Q = 30 when P = 40 , then
40 = 30k ( divide both sides by 30 )
[tex]\frac{40}{30}[/tex] = [tex]\frac{4}{3}[/tex] = k
P = [tex]\frac{4}{3}[/tex] Q ← equation of proportion
when P = 70 , then
70 = [tex]\frac{4}{3}[/tex] Q ( multiply both sides by 3 to clear the fraction )
210 = 4Q ( divide both sides by 4 )
52.5 = Q
a bottle contains 2 1/2 cups of apple juice a serving of apple juice is 1/2 cup how many servings does the bottle contain
By applying aritmethics and concept of capacity we conclude that the bottle containing 2 1/2 cups of apple juice contains 5 servings containing 1/2 cups each.
How to determine the quantity of servings from a bottle
In this question we are dealing with capacities, capacities are an application of volumes. A bottle contains a capacity equivalent to a given quantity of cups. The number of cups is found by dividing the capacity of a bottle by the capacity of a serving:
[tex]x = \frac{\frac{5}{2}\,cups}{\frac{1}{2}\,cups }[/tex]
x = 5
By applying aritmethics and concept of capacity we conclude that the bottle containing 2 1/2 cups of apple juice contains 5 servings containing 1/2 cups each.
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4.1 A bag contains 6 red, 4 green, 2 yellow and 3 blue balls. In each case, give the ratio (in simplest form) of the asked number of balls in the bag.( 4 ) 4.1.1 The number of red balls to the number of green balls.
The number of red balls to the number of green balls is 3 : 2
How to determine the ratio?The distribution of the balls is given as:
6 red, 4 green, 2 yellow and 3 blue balls
The number of red balls to the number of green balls is represented as:
Ratio = Red : Green
So, we have:
Ratio = 6 : 4
Simplify
Ratio = 3 : 2
Hence, the number of red balls to the number of green balls is 3 : 2
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A record store has 3,108 records evenly shared among 6 rows. How many records are in each row?
Answer:
518
i don't know if this needs much explaining.
Answer:
518 records per row
Step-by-step explanation:
Divide to find out how many are in each row :
No. of records / No. of rows3,108 / 6518 records per rowjohn saves N$250 the first month and every two month later increases it by N$75.how much will john save in the 12th month?
Answer:
750
Step-by-step explanation
Mya bought x shirts for $14.50 each and used a $20 coupon. Which equation represents theh total amount, a, she spent?
Scientists are tracking the population of a specific species of bird. They have determined that the function P(x) = 575 (1.025)x models the number of birds, P(x), after x years. Which of the following is true about the brid?
Question: How many miles can we paddle in 1 hour at the Los Angeles river?
The river is going at 25 mph
and you are paddling at a consistent rate
Answer:
125 mph
Step-by-step explanation:
The river is going 25 mph every 20 minutes
[tex]20[/tex] [tex]minutes=25[/tex][tex]40[/tex] [tex]minutes=50[/tex][tex]60[/tex] [tex]minutes=75[/tex] [tex]80[/tex] [tex]minutes =100[/tex][tex]1[/tex] [tex]hour = 125[/tex]Therefore we can paddle 125 miles at consistent rate.
Sarah makes a red hair bow using 21 4/5 inches of ribbon. She makes a purple hair bow using 18 1/4 inches of ribbon.
How much more ribbon is used to make the red hair bow than the purple hair bow?
Answer:
91/20 or 4 11/20
Step-by-step explanation:
First, convert the 2 amounts into improper fractions
Red: 21 4/5 = 114/5
Purple: 18 1/4 = 73/4
Then, using cross multiplication, you can give them the same denominator
Red: 114/5 = 456/20
Purple: 73/4 = 365/20
Then just subtract the numerators and keep the denominator
456/20 - 365/20 = 91/20
So your answer is
91/20 or 4 11/20