Explanation:
a) First, note that the Type I error refers to a situation where the null hypothesis is rejected when it is actually true. Hence, her null hypothesis would be H0: mean daily demand of her clothes in this region should be greater than or equal to 100.
The implication of Type I error in this case is that Mary rejects that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually true.
b) While, the Type II error, in this case, is a situation where Mary accepts the null hypothesis when it is actually false. That is, Mary accepts that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually false.
c) The Type I error would be important to Mary because it shows that she'll be having a greater demand (which = more sales) for her products despite erroneously thinking otherwise.
19. Jaylen makes the statement shown below. "When multiplying two whole numbers that end in zeros, the
product always has the exact same number of zeros at the end as the number of zeros from the end of the two
numbers combined. For example, the product of 70 x 300 has exactly three zeros at the end since 70 ends in
one zero and 300 ends in two zeros."
Which expression proves Jaylen's statement is not correct?
A. 20 x 100
B. 20 x 700
C. 50 x 600
D. 90 x 500
50 x 600= 30,000 which has more zeros than 50 and 600 combined
PLEASE HELP ME ITS DUE TODAY!!!
4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.
5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.
How to verify that RSTU is a trapezoid?In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;
RU ║ ST
Slope of side RU = Slope of side ST
Slope of RU = (y₂ - y₁)/(x₂ - x₁)
Slope of RU = (1 + 3)/(5 + 3)
Slope of RU = 4/8
Slope of RU = 0.5.
Slope of RS = (y₂ - y₁)/(x₂ - x₁)
Slope of RS = (-9 + 3)/(-4 + 3)
Slope of RS = -6/-1
Slope of RS = 6.
Slope of ST = (y₂ - y₁)/(x₂ - x₁)
Slope of ST = (-2 - 1)/(10 - 5)
Slope of ST = -3/5
Slope of ST = -0.6.
Slope of UT = (y₂ - y₁)/(x₂ - x₁)
Slope of UT = (-2 + 9)/(10 + 4)
Slope of UT = 7/14
Slope of UT = 0.5.
Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.
Question 5.
In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance RT = √[(-2 + 3)² + (10 + 3)²]
Distance RT = √170 units.
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance US = √[(5 + 4)² + (1 + 9)²]
Distance US = √181 units.
Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.
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The publishers of a business magazine are running sales promotions for the weekly magazine. The number of prospective customers a sales representative sees per day varies 1 to 40. If the sales representative is able to her 20% of the prospective customers to subscribe, the maximum expected number of subscriptions per week is .if the sales representative earns $3 per subscription in addition to daily wages, the minimum expected value of the extra income per week is .
Answer:
the maximum expected number of subscriptions per week is
34 subscriptionsthe minimum expected value of the extra income per week is
$94.20Step-by-step explanation:
number of sales visits per day 1 - 40
success rate in closing sales 20%
total visits per week:
week 1 = 20 + 22 + 27 + 17 + 31 + 12 + 39 = 168week 2 = 26 + 13 + 30 + 18 + 24 + 14 + 32 = 157week 3 = 21 + 12 + 22 + 37 + 30 + 23 + 18 = 163week 4 = 15 + 33 + 10 + 28 + 34 + 24 + 22 = 166week 5 = 11 + 33 + 21 + 32 + 26 + 19 + 22 = 164week 6 = 19 + 27 + 20 + 18 + 31 + 14 + 37 = 166week 7 = 29 + 22 + 27 + 30 + 16 + 9 + 36 = 159week 8 = 8 + 28 + 19 + 28 + 25 + 36 + 26 = 170estimated sales per week:
week 1 = 168 x 20% = 33.6week 2 = 157 x 20% = 31.4week 3 = 163 x 20% = 32.6week 4 = 166 x 20% = 33.2week 5 = 164 x 20% = 32.8week 6 = 166 x 20% = 33..2week 7 = 159 x 20% = 31.8week 8 = 170 x 20% = 34extra income per week:
week 1 = 33.6 x $3 = $100.80week 2 = 31.4 x $3 = $94.20week 3 = 32.6 x $3 = $97.80week 4 = 33.2 x $3 = $99.60week 5 = 32.8 x $3 = $98.40week 6 = 33.2 x $3 = $99.60week 7 = 31.8 x $3 = $95.40week 8 = 34 x $3 = $102Answer: subscriptions per week: 34
Extra income per week: $94.20
Step-by-step explanation: I got this right on Edmentum
what is the value of digit 6 in9.78265.
Answer: uhh I think 60?
Step-by-step explanation:
the answer is 6p because after any value place is zero hoped I helped
HELP PLEASEEEEEEEEEEE
Answer:
Which one is at the bottom? if the one at the bottom is 0 then the answer is 0. If its not then its related to pemdas or something else
Step-by-step explanation:
Answer:
? = 4
4 is the answer
Step-by-step explanation:
heart = 21
rainbow = 7
unicorn horn = 9
so, we have
heart + rainbow + rainbow = 35
21 + 7 + 7 = 35
heart + unicorn horn + rainbow = 37
21 + 9 + 7 = 37
rainbow + unicorn horn + unicorn horn =25
7 + 9 + 9 = 25
unicorn horn + unicorn horn + rainbow - heart = ?
9 + 9 + 7 - 21 = 4
A basketball player averages 12,5 points per game. There are 24 games in a season. At this rate, how many points
would the player score in an entire season?
In the entire season, the basketball player would score
points.
✓ Done
Intro
15 of 15
Answer:
12.5 x 24=300
Step-by-step explanation:
Inequalities - Introduction
Answer:
Step-by-step explanation:
This number line says that we can take all values of x that are less than or equal to 2. That is, the solution is
\(x\leq 2\)
NOTE: if the circle at 2 were not filled in then that would mean x<2 (2 would not be an accepted value of x)
Can someone please help:(
Thank you all
There were 172 children and 165 adults admitted to the amusement park.
Given that the admission fee for children is $1.50, so the total amount collected from children is 1.5c.
Similarly, the admission fee for adults is $4, so the total amount collected from adults is 4a.
We are also given that the total number of people admitted to the park is 337, so we can write the following equation based on the number of people:
c + a = 337
The total admission fees collected is $918.
1.5c + 4a = 918
Now we have a system of two equations.
From the first equation, we can express 'c' in terms of 'a':
c = 337 - a
Substituting this value of 'c' into the second equation:
1.5(337 - a) + 4a = 918
505.5 - 1.5a + 4a = 918
2.5a = 918 - 505.5
2.5a = 412.5
a = 412.5 / 2.5
a = 165
Substituting the value of 'a' back into the first equation:
c + 165 = 337
c = 337 - 165
c = 172
Therefore, there were 172 children and 165 adults admitted to the amusement park.
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please help me solve
Answer:
D
Step-by-step explanation:
First, to find the length of the side FH we will use the Pythagorean theorem which states \(a^2+b^2=c^2\). We can say that FH = a, FG = b, and HG = c. Since we know the values of b and c, we will rearrange the formula to solve for a \(a = \sqrt{c^2-b^2}\). That will be \(\sqrt{18^2-12^2)\) which gives us 13.4 for the missing side.
Now to solve for the angles we will use simple trigonometry. Since we know that \(sin(\theta) = \frac{opposite} {hypotenuse}\), we can do inverse trigonometry for the missing angles \(sin^{-1}(\frac{opposite}{adjacent}) = \theta\). For angle H, we can do \(sin^{-1}(\frac{12}{18})\) which gives us 41.8 degrees. For angle G we can do \(sin^{-1}(\frac{13.4}{18})\) and we get 48.1 degrees. We could also use inverse cos and trig to solve it.
Looking at the answer choices, only answer choice D is correct.
How many square meters ? please help i need an answer asap
Answer:
6335.55 millimeter squared, I think. Hope this helps.
Step-by-step explanation:
Rena, a pharmacy technician, is looking to make a 45%
solution. She has the alligation pictured below.
A.
20
45
Which solution can be used to fill in location A?
O 35
O 40
O45
O 55
The solution that can be used to fill in location A is 45%.
In this case, Rena is trying to make a 45% solution. The alligation diagram shows two solutions with concentrations of 20% and 45%. The concentration at location A represents the concentration of the final mixture.
To determine the concentration at location A, we can visually observe the positioning of the concentrations on the diagram. The closer a concentration is to location A, the more it contributes to the final mixture.
In this case, the concentration of 45% is closer to location A than the concentration of 20%.
This means that more of the 45% solution should be used in the mixture to achieve a 45% concentration.
Therefore, the solution that can be used to fill in location A is 45%.
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rachel is setting up for her birthday . rachel wants to put the same number of chairs around each table . how many chairs will rachel place around each table at her birthday party ?
choices
3
4
5
6
Answer:
6 chairs around each table
Step-by-step explanation:
just did it
Cason wants to read at least 45 books. He has already read one book. If he reads 2 books a week, how many weeks will he need to read to meet his goal? Solve a linear inequality to find the number of weeks Cason must read.
A. x < 22
B. x > 22
C. x ≤ 22
D. x ≥ 22
I need an explanation to
Cason must read for at least 22 weeks to meet his goal. The correct answer is D. x ≥ 22
Solving by InequalityLet x be the number of weeks Cason needs to read to meet his goal. In each week, he can read 2 books. Therefore, the total number of books he will read in x weeks is:
2x
Since Cason has already read one book, the total number of books he will have read after x weeks is:
2x + 1
We want Cason to read at least 45 books, so we can set up an inequality:
2x + 1 ≥ 45
Subtracting 1 from both sides, we get:
2x ≥ 44
Dividing both sides by 2, we get:
x ≥ 22
Therefore, Cason must read for at least 22 weeks to meet his goal.
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Find the slope determined by the following pair of points.
(4,5), (1,3
Answer:
2/3
Step-by-step explanation:
we use y2-y1/x2-x1 to find slope
5-3/4-1
2/3
The slope is 2/3
Hopes this helps please mark brainliest
If x^2 = 196, what is the sum of the possible values of (x −1)^2?
Answer:
Step-by-step explanation:
x²=196
x=±14
when x=14
(x-1)²=(14-1)²=13²=169
when x=-14
(x-1)²=(-14-1)²=(-15)²=225
sum=169+225=394
A diagnostic test has a 95% probability of giving a positive result when given to a person who has a certain disease. It has a 10% probability of giving a (false) positive result when given to a person who doesn’t have the disease. It is estimated that 15% of the population suffers from this disease.
(a) What is the probability that a test result is positive?
(b) A person recieves a positive test result. What is the probability that this person actually has the disease? (probability of a true positive)
(c) A person recieves a positive test result. What is the probability that this person doesn’t actually have the disease? (probability of a false negative)
Answer:
a)0.2275 b)95/105=19/21 c)10/105= 2/21
Step-by-step explanation:
a) The case "The test result is positive" consists in 2 parts.
The 1st one is "The person has the desease (15%=0.15) and the test's result is positive (95%=0.95)
The probability of that is P(desease, positive) = 0.15*0.95=0.1425
The 2nd one is "The person has no the desease (100%-15%=85%=0.85). However the test result is positive (10%=0.1)
The probability of that is P(not desease, positive)=0.85*0.1=0.085
The total probability that test is positive is the sum of 1st and 2-nd parts of the case: P(pos) = 0.1425+0.085=0.2275
b) As it has been shown in a) The test result can be positive in case that the person is really has the desease (95%) and in case the person has no the desease (10%). This actually means that 95 persons from 105 having positive test result are really has the desease.
So the probability that the test result is positive and person has the desease is P (desease/positive)= 95/105
c) It's clearly seen that the sum of probabilities of b) and c) equal 1.
Both events make full group of events.
If the test result is positive the person can have the desease or can have not the desease. So ( no desease/positive)= 1-95/105=10/105
ANSWER BOTH QUESTIONS
Answer:
a and c
Step-by-step explanation:
A family recipe calls for sauce and oregano. The table below shows the parts of sauce to oregano used to make the recipe.
Servings - - - Sauce (cups) - - - Oregano (tsp)
- - - 3- - - - - - - - - - - 6 - - - - - - - - - - - - - -1 & 1/2
8---
At this rate, how much sauce and oregano will be needed to make 8 servings?
A) The recipe will need 16 cups of sauce and three and a half teaspoons of oregano for 8 servings.
B) The recipe will need 16 cups of sauce and 4 teaspoons of oregano for 8 servings.
C) The recipe will need 14 cups of sauce and 4 teaspoons of oregano for 8 servings.
D) The recipe will need 14 cups of sauce and three and a half teaspoons of oregano for 8 servings.
The correct answer is A) The recipe will need 16 cups of sauce and three and a half teaspoons of oregano for 8 servings.
To determine the amount of sauce and oregano needed to make 8 servings, we can use the ratio of sauce to oregano from the table.
According to the table, for 3 servings, 6 cups of sauce are used along with 1 & 1/2 teaspoons of oregano. We need to find the ratio of sauce to oregano to scale it up for 8 servings.
Ratio of sauce to oregano:
6 cups of sauce / 1 & 1/2 teaspoons of oregano = 6/1.5 = 4 cups of sauce per teaspoon of oregano
Now, for 8 servings, we need to multiply the ratio by the number of teaspoons of oregano required:
8 servings * 1 teaspoon of oregano = 8 teaspoons of oregano
Therefore, for 8 servings, we would need:
8 teaspoons of oregano * 4 cups of sauce per teaspoon of oregano = 32 cups of sauce
Therefore, the correct answer is A) The recipe will need 16 cups of sauce and three and a half teaspoons of oregano for 8 servings.
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Help I’m failing math
Step-by-step explanation:
the answer is 72.70 cents
Answer: See explanation
Step-by-step explanation:
Markup is 39% of the cost.
Markup is what is added to the price to get the retail price.
39% × 72.72
0.39 × 72.72 = 28.3608
28.3608 ≈ 28. 36
Markup ≈ $28.36
Retail price is the price you get after you add the markup to the original price.
Retail price: Cost + Markup
Retail price: $72.72 + $28.36
Retail price = $101.08
What is the rule for this pattern? 8, 4, 2, 1 Divide by 2. Multiply by 2. Subtract 4. Add 4.
Answer:
divide by 2
Step-by-step explanation:
because if you subtract 4 -8 =you would get 4then 4-4=0 so eliminate subtract 4 and you can tell the number isnt going higher so you wouldnt add or multiply your welcome
Tim flips a weighted coin 6 times and gets 2 tails. What is the experimental probability that the next flip will come up tails?
Answer:
1/3
Step-by-step explanation:
bc 2/6 reduces to 1/3
(4z+3)+(4z+3)+(4z+3)+(4z+3) solve please or simplify
Answer:
16z+12
Step-by-step explanation:
Let's simplify step-by-step.
4z+3+4z+3+4z+3+4z+3
Combine Like Terms:
=4z+3+4z+3+4z+3+4z+3
=(4z+4z+4z+4z)+(3+3+3+3)
=16z+12
Hope this helps!
Find the first three nonzero terms in the Taylor polynomial approximation to the DE V" +9y + 5y3 = cos(10t), y(0) = 0, y' (0) = 1.
The first three non zero terms in the Taylor polynomial approximation to the given DE is y(t) = t + t²/2 -(3/2)t³ .
In the question ,
it is given that ,
the differential equation is
y'' + 9y + 5y³ = Cos(10t) ...equation(1)
y(0) = 0, y'(0) = 1
for y = 0 , the differential equation is
y''(0) + 9y(0) + 5{y(0)}³ = Cos90)
y''(0) + 9 + 5 = 1 ;
y''(0) = 1.
differentiating equation(1) with respect to "t" , we have
y''' + 9y' + 15y²y' = -10Sin(10t)
y'''(0) + 9y'(0) + 15{y(0)}².y'(0) = -10Sin(0)
y'''(0) + 9 + 0 = 0
y'''(0) = -9
The Taylor series is given by
y(t) = y(0) + y'(0)t + 1/2.y''(0)t² + 1/3!.y'''(0)t³ + ....
Now substituting the values of y(0) , y'(0) , y''(0) , y'''(0) , we have
y(t) = 0 + 1.t + 1/2.t² + 1/6.(-9)t³ + ....
= t + t²/2 - 3/2.t³ + ...
Therefore , the first three terms are t , t²/2 , -3/2.t³ .
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Here is a picture of some sea animals. The number line on the left shows the vertical position of each animal above or below sea level, in meters.
1. How far above or below sea level is each animal? Measure to their eye level.
2. A mobula ray is 3 meters above the surface of the ocean. How does its vertical position compare to the
height or depth of:
The jumping dolphin?
The flying seagull?
The octopus?
3. An albatross is 5 meters above the surface of the ocean. How does its vertical position compare to the
height or depth of:
The jumping dolphin?
The flying seagull?
The octopus?
4. A clownfish is 2 meters below the surface of the ocean. How does its vertical position compare to the
height or depth of:
The jumping dolphin?
The flying seagull?
The octopus?
5. The vertical distance of a new dolphin from the dolphin in the picture is 3 meters. What is its distance from the surface of the ocean?
Answer:
How far above or below sea level is each animal? Measure to their eye level.The jumping dolphin is approx. 6 meters under sea level
The flying seagull is approx. 8 meters under sea level
The mobula ray is approx. 2 meters under sea level
The clownfish is approx.t 4 meters under sea level
The octopus is approx. 8 meters under sea level
A mobula ray is 3 meters above the surface of the ocean. How does its vertical position compare to the height or depth of:The jumping dolphin: The mobula ray is 9 meters lower than the jumping dolphin.
The flying seagull: The mobula ray is 11 meters lower than the flying seagull.
The octopus: The mobula ray is 11 meters higher than the octopus.
An albatross is 5 meters above the surface of the ocean. How does its vertical position compare to the height or depth of:The jumping dolphin: The albatross is 1 meter lower than the jumping dolphin.
The flying seagull: The albatross is 3 meters lower than the flying seagull.
The octopus: The albatross is 13 meters higher than the octopus.
A clownfish is 2 meters below the surface of the ocean. How does its vertical position compare to the height or depth of:The jumping dolphin: The clownfish is 8 meters lower than the jumping dolphin.
The flying seagull: The clownfish is 10 meters lower than the flying seagull.
The octopus: The clownfish is 6 meters higher than the octopus.
The vertical distance of a new dolphin from the dolphin in the picture is 3 meters. What is its distance from the surface of the ocean?If the new dolphin is above the dolphin in the picture, then its distance from the surface of the ocean is 6 - 3 = 3 meters.
If the new dolphin is below the dolphin in the picture, then its distance from the surface of the ocean is 6 + 3 = 9 meters.
✧☆*: .。. Hope this helps, happy learning! (✧×✧) .。.:*☆✧
Maya’s mom is 48, which is four times as old as Maya. Write an equation that can be used to find Maya’s age. Then, solve the equation to find Maya’s age.
Answer:
Maya is 12
Step-by-step explanation:
4x = 48
x = 48/4
x = 12
Answer:
Maya's age=12 year
Step-by-step explanation:
Let us suppose Maya's age=X
So age of Maya's mom=4X
Given age of Maya's mom=48
4X=48
X=12
So age of Maya=X=12
X Y
-10 2
-15 3
-25 5
Determine whether y varies directly with x. If so, find the constant of variation and write the equation
Answer:
x = -5y
Step-by-step explanation:
x = ay
-10 = 2a
a = -5
x = ay
-15 = 3a
a = -5
x = ay
-25 = 5a
a = -5
Find the value of x in the parallelogram
The value of x in the parallelogram is 112°.
In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.
To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.
Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.
Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.
Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.
This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.
For the given question, we know x° + 68° = 180°.
Then x° = 180° - 68°
x° = 112°
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If I worked from 2:30pm to 7:00pm. How many hours did work?
Answer:
4.5 hours
Step-by-step explanation:
fbdjdbercyTxxivdu
Answer:
Basically You are asking how many hours we need to reach 7:00, if we are at 2:30, so: we need 4hours, to reach 6:30, and and extra 30minutes to reach 7:00pm. The answer is 4hours and 30minutes.
What is the distance between (-5, 6) and (-5, -8)?
Answer
I think you should do it by yourself so i will give you an example then do the same thing with the same problem you have
Finding distance between AD
A(-2,4) and D(1,4) AD= (-2 + 1 =3 units)
Step-by-step explanation:
When there are two points in the SAME quadrant, we SUBTRACT the absolute values of coordinate that are different If they are in the different quadrants we add!Question
1/3 Marks
The prism shown has a volume of 35 cm³.
Work out h, the height of the triangular cross section.
h = Answ cm
13/27 Marks
+
hi
4 cm
7 cm
The height of the triangular cross section is equal to 2.5 cm.
How to calculate the volume of a rectangular prism?Mathematically, the volume of a rectangular prism can be calculated by using this formula:
Volume = L × W × H or Volume = base area × length
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.Next, we would determine the base area of this rectangular prism by using the formula for the area of a triangle:
Area of triangle = 1/2 × base area × height
Area of triangle = 1/2 × 4 × h
Area of triangle = 2h
Now, we can determine the height of this rectangular prism as follows;
Volume = base area × length
35 = 2h × 7
Height, h = 35/14
Height, h = 2.5 cm.
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