Answer:
the P-value = 0.1977
conclusion: Since the p-value is not small;
we reject null hypothesis
hence, the data does not support claim that more than half of the bathroom scales underestimate weight.
Step-by-step explanation:
Given the data in the question;
let X represent the number of successes ( the weight is underestimated ) in n independent Bernoulli trials, each with the success probability p
X - Bin( n,p).
so
Null hypothesis H₀ : p ≤ 0.5
Alternative hypothesis Hₐ : p > 0.5
now, compute np₀ and n( 1 - p₀ )
np₀ = (50)(0.5)
np₀ = 25
n( 1-p₀ ) = (50)(1 - 0.5)
n( 1-p₀ ) = 25
we can see that both values are greater than 10.
∴ the sample proportion is approximately normally distributed;
P" - N ( p₀, [tex]\frac{p_{0}(1-p_0)}{n}[/tex] )
sample proportion p" = 28/50 = 0.56
standard deviation will be;
σ[tex]_{p"[/tex] = √( p₀(1-p₀) / n )
σ[tex]_{p"[/tex] = √( 0.5(1-0.5) / 50 )
σ[tex]_{p"[/tex] = √( 0.25 / 50 )
σ[tex]_{p"[/tex] = 0.07071
Next is the Z-score
z = p" - p₀ / σ[tex]_{p"[/tex]
z = 0.56-0.5 / 0.07071
z = 0.06 / 0.07071
z = 0.85
from table,
the probability that a standard normal random variable takes on a value greater than 0.85 is approximately 0.1977
Therefore, the P-value = 0.1977
conclusion: Since the p-value is not small;
we reject null hypothesis
hence, the data does not support claim that more than half of the bathroom scales underestimate weight.
p = 0.197663
Find the next term in the sequence 3, 6, 9, 15, 24,
Help 80 Points BRAINLIEST FOR CORRECT ANSWER!!!!
Answer:
3x+5-7
Step-by-step explanation:
Answer:
If im not mistaken it should be answer 3. Because you would have to divide amongst groups.
In the small town of Middleton, there are only two restaurants that serve pizza- a small family owned Italian restaurant and a new franchise pizza restaurant. In a recent review of the franchise, a food critic reported that the pizza was delicious as promised. The only negative review that the franchise received from the critic was in reference to the inaccurate delivery time quoted during the online order process. In response to the article, the franchise owner used a program to analyze the online pizza orders that took place during the week before the review. He chose to track the orders at 6pm each day. He recorded his results in the frequency table below. Monday Tuesday Wednesday Thursday Friday On Time ||| || Late | ||| |||| Use the frequency table to create a box and whisker plot of the On Time data values. In your final answer, include all calculations necessary to create the box and whisker plot. Use the frequency table to create a box and whisker plot of the Late data values. In your final answer, include all calculations necessary to create the box and whisker plot.
Step-by-step explanation:
1.
Yes , the data franchise owner is collecting, will be helpful in order to counter the criticism from the critic. As he has a record for every delivery they are making on daily basis.
2.
The scenario is that for every fifth customer , the owner cross the four lines he makes. Thus a pack of five and easy to remember. As the data on regular week days is less, As can do the same for the third customer. Crossing the 2 lines for 3rd customer.
3.
With this provision of crossing the third customer, the owner can have a better check on the late delivery. As it will bring in his notice earlier as compared to fifth crossing.
4.
With the data as provided in the table, we can come to the conclusion that on weekends , i.e. both on time delivery and late deliveries are high in numbers. It must be because of high demand on that days. So owner must make some provision like hiring some more delivery boys for weekend in order to reduce the late deliveries.
Answer:
Can I get brainliest please??
Step-by-step explanation:
Joe bought four books at a bookstore. Here are their prices (in dollars). 7.34, 11, 13.2, 5.3 What is the total amount Joe paid at the bookstore?
Answer:
36.84
Step-by-step explanation:
just add them it is all really just basic addition nothing more to it
Max used 3 7/8 pounds of yellow potatoes and 2 5/8 pounds of sweet potatoes to make a potato salad. How many more pounds of yellow potatoes than sweet potatoes did Max use?
Step-by-step explanation:
[tex]\tt{}3 \frac{7}{8} - 2 \frac{5}{8} [/tex]
[tex]\tt{}(3 -2) + ( \frac{7}{8} - \frac{5}{8} )[/tex]
[tex]\tt{}1 + \frac{1}{4} [/tex]
[tex]\tt{}1 \frac{1}{4} [/tex]
[tex]\tt{} \frac{5}{4} [/tex]
[tex]\tt{}1.25[/tex]
8)Which value could be the largest whole number that could equal the
length of the missing side in the picture?
Plz help I will give brainliest
Answer:
10
Step-by-step explanation:
take 6-5=1
6+5=11
These are the parameters of a triangle. If the third side length is equal to 11 then that is impossible.
1<x<11
So the largest value for x would be 10
Hope that helps :)
If the distance from A (5,6) to B (1, b) is twice the distance from B to
C(1, -3), determine the possible values of b.
Answer:
The possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.
Step-by-step explanation:
From statement we know that [tex]AB = 2\cdot BC[/tex]. By Analytical Geometry, we use the equation of a line segment, which is an application of the Pythagorean Theorem:
[tex]AB = 2\cdot BC[/tex]
[tex]\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}} = 2\cdot \sqrt{(x_{C}-x_{B})^{2}+(y_{C}-y_{B})^{2}}[/tex] (1)
Where:
[tex]x_{A}[/tex], [tex]x_{B}[/tex], [tex]x_{C}[/tex] - x-Coordinates of points A, B and C.
[tex]y_{A}, y_{B}, y_{C}[/tex] - y-Coordinates of points A, B and C.
[tex](x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2} = 4\cdot (x_{C}-x_{B})^{2}+4\cdot (y_{C}-y_{B})^{2}[/tex]
Then, we expand and simplify the expression above:
[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} +x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot (x_{C}^{2}-2\cdot x_{C}\cdot x_{B}+x_{B}^{2})+4\cdot (y_{C}^{2}-2\cdot y_{C}\cdot y_{B}+y_{B}^{2})[/tex]
[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} + x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot x_{A}^{2}-8\cdot x_{C}\cdot x_{B}+4\cdot x_{B}^{2}+4\cdot y_{C}^{2}-8\cdot y_{C}\cdot y_{B}+4\cdot y_{B}^{2}[/tex]
If we know that [tex]x_{A} = 5[/tex], [tex]y_{A} = 6[/tex], [tex]x_{B} = 1[/tex], [tex]y_{B} = b[/tex], [tex]x_{C} = 1[/tex] and [tex]y_{C} = -3[/tex], then we have the following expression:
[tex]1 -10 +25 +b^{2} -12\cdot b+36 = 100 -8 +4 +36+24\cdot b +4\cdot b^{2}[/tex]
[tex]b^{2}-12\cdot b +52 = 4\cdot b^{2}+24\cdot b +132[/tex]
[tex]3\cdot b^{2}+36\cdot b +80 = 0[/tex]
This is a second order polynomial, which means the existence of two possible real solutions. By Quadratic Formula, we have the following y-coordinates for point B:
[tex]b_{1} \approx -2.944[/tex], [tex]b_{2} \approx -9.055[/tex]
In consequence, the possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.
I need help again
♂️
Answer:
the 3rd one
Step-by-step explanation:
9) The area of the given rectangle is 40 square feet. Find the length and the width of the rectangle.
Length: x+1
Width: X + 4
Answer:
Step-by-step explanation:
hello : solve (x+1)(x+4)=40
x²+5x+4 =40
x²+5x-36 =0 continu us delta
Decide if each statement about the expression 7t + 15-23 is true or false?
Answer:
7t -8 true
Step-by-step explanation:
What is the volume please help me please
Answer:
1296(Length x Width x Height)
6x18x12=
1296I hope this helped! ♡+*
plz hurry Cari is 3 years older than her brother Mark. Write Cari's age (c) as a function of Mark's age (m) and determine how old Cari will be when Mark is 15.
(A) c = m + 3; 18 years old
(B) c = m − 3; 12 years old
(C) m = c + 3; 12 years old
(D) m = c − 3; 18 years old
Answer:
A
Step-by-step explanation:
Because she is 3 years older then her brother you would be adding 3 to the age to get cari's age
The price of an item has been reduced by 35%. The original price was $60. What is the price of the item now ?
Answer:
the answer is $39.00
Step-by-step explanation:
An online store sells flower arrangements for birthdays and other special events. In a review of their production costs, the
online store found the mean wholesale cost of one shipment of vases was ĉ = 54 dollars, with a margin of error of 5
dollars.
Construct a confidence interval for the mean cost (in dollars) for one shipment of vases.
Answer: A confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)
Step-by-step explanation:
Confidence interval for mean: Mean ± Margin of error
Given: The online store found the mean wholesale cost of one shipment of vases was ĉ = 54 dollars, with a margin of error of 5 dollars.
A confidence interval for the mean cost (in dollars) for one shipment of vases
[tex]=(54-5, 54+5)\\\\=(49,59)[/tex]
Hence, a confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)
I need help solving the question?????????
Answer:
x.......y
-8...-2
-1....1
0....0
1....-1
8...2
Answer:
-2
-1
0
1
2
Step-by-step explanation:
in order to find the y values you need to plug in the x values in the table into the function
the cube root of -8 is -2 (since this is a cube root instead of a square root we can have negative values in it because when we cube negative values we get negative values i.e. -2³=-8 ; -3³=-27)
the cube root of -1 is -1
the cube root of 0 is 0
the cube root of 1 is 1
the cube root of 8 is 2
Brainliest. Please aced and expert help me out here.
Answer:
The following statements are true.
A rhombus is a parallelogram with equal sides. In a parallelogram, opposite sides are equal. The area of a rhombus is found using the formula A = b × h. b and h represents the base and height of the rhombus respectively. The area is found the same way for both a rhombus and a parallelogram. The formula, area = base × height can be used for both rhombus and parallelogram.Step-by-step explanation:
I'm not an ace nor a genius but here are the correct answers
Which of the values in the set {3, 4, 5, 6} is a solution to the equation 4x + 2 = 22? (4 points)
a
3
b
4
c
5
d
6
Step-by-step explanation:
[tex]4x + 2 = 22 \\ 4x = 20 \\ x = 5[/tex]
(Valley Forge Income Tax Advice) VF is a small accounting firm supporting wealthy individuals in their preparation of annual income tax statements. Every December, VF sends out a short survey to their customers, asking for the information required for preparing the tax statements. Based on 24 years of experience, VF categorizes their cases into the following groups:
Group I (new customers, easy): 15 percent of cases
Group 2 (new customers, complex): 5 percent of cases
Group 3 (repeat customers, easy): 50 percent of cases
Group 4 (repeat customers, complex): 30 percent of cases
Here, "easy" versus "complex" refers to the complexity of the customer's earning situation.
[In order to prepare the income tax statement, VF needs to complete the following set of activities. Activity times (and even which activities need to be carried out) depend on which group a tax statement falls into. All of the following activity times are expressed in minutes per income tax statement.
Group Filling Initial meeting Preparation Review by Writing
senior accounting
1 20 30 120 20 50
2 40 90 300 60 80
3 20 no meeting 80 5 30
4 40 no meeting 200 30 60
The activities are carried out by the following three persons:
Administrative support person: fi ling and writing.
Senior accountant (who is also the owner): initial meeting, review by senior accountant.
Junior accountant: preparation
Assume that all three persons work eight hours per day and 20 days a month. For the following questions, assume the product mix as described above. Assume that there are 50 income tax statements arriving each month.
a. Which of the three persons is the bottleneck?
b. What is the ( implied) utilization of the senior accountant? The junior accountant? The administrative support person?
c. You have been asked to analyze which of the four product groups is the most profitable. Which factors would influence the answer to this?
d. How would the process capacity of VF change if a new word processing system would reduce the time to write the income tax statements by 50 percent?
The solution is, c3 = 24 cases, and, c4 = 96 cases.
What is percentage?A percentage can be stated as a number or ratio that can be expressed as a fraction of 100. A percentage usually represented as a number or ratio expressed as a fraction of 100. It is usually denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number which has no unit of measurement.
here, we have,
given that,
Total time in a week = 40 hours = 2400 minutes
Total time Administrator is utilized = 50 * 20 = 1000 minutes
Total time Senior accountant is utilized= 20% * 50 * 40 = 400 minutes
Total time Junior accountant is utilized = 40%*50*15 = 600 minutes
For Total cases, Total capacity
= Total time / Bottlenck time (Administrator)
= 2400 / 20
= 120 cases
C-3) Capacity of new customers at 20:80 ratio = 20% * 120 = 24 cases
C-4) Capacity of repeat customers at 20:80 ratio = 20%*120 = 96 cases
c-1 = Flow rate
= min ( demand, capacity) for new customers
= 10 new cases / week (20%*50)
c-2 = Flow rate
= 40%*50
= 40 cases / week
c3 = 24 cases
c4 = 96 cases
Hence, The solution is, c3 = 24 cases, and, c4 = 96 cases.
To learn more on percentage click:
https://brainly.com/question/24300581
#SPJ2
Please help me find the surface area!
Answer: question 9 COULD be 240 and 12. might be 2880
Step-by-step explanation:
nabiha wants to decorate her home for an upcoming party she bought a roll of ribbon from "dollarama" which is 3.2 m long
(a) how many 15 cm of ribbon can be cut from a 3.2m long ribbon
(b) how long is the remaining peice
Answer:
A = 21
B = 5
Step-by-step explanation:
1 meter = 100 centimeters
This means that she has 320cm of ribbon. Now you need to divide 320 by 15
320/15 = 21.3333333333
So to check your work you could multiply 15 by 21
15 x 21 = 315
This answer is less than 320 so you now know that Nabiha can cut 21 pieces of ribbon that are 15cm long. You also know that the remaining piece is 320 - 315 = 5.
Please award me brainiest! Hope this helps!
PLEASE HELP!!! Area of trapezoids and triangles
Answer: 54 square inches and 18 square inches
Explanation:
The formula for the area of a trapezoid is the sum of the top and bottom bases divided by 2, multiplied by the height.
In the first picture the bases are 6 and 12, and the height is 6, so the formula would look like this:
[tex]\frac{6+12}{2} *6[/tex]
=[tex]\frac{18}{2} *6[/tex]
=[tex]9*6[/tex]
=54
54 [tex]in.^{2}[/tex] is the answer to the first problem.
Following the same method, we can do the next problem the same way:
[tex]\frac{4+8}{2} *3[/tex]
=[tex]\frac{12}{2} *3[/tex]
=[tex]6*3[/tex]
=18
18 [tex]in.^{2}[/tex] is the answer to the second problem.
{362 – [6x3 + (48 ÷ 2) x 2]} + 3(9 +4)
Answer:
335
Step-by-step explanation:
Brep
Multiple Choice
What are the perimeter and area of a rectangle with a length of 20 in. and a width of 15 in.?
o A. P= 35 in., A = 300 in.2
O B. P = 70 in., A = 300 in.2
o C. P = 300 in., A = 70 in.2
o D. P = 35 in., A = 200 in.2
9514 1404 393
Answer:
B. P = 70 in; A = 300 in²
Step-by-step explanation:
The perimeter is the sum of the side lengths. Opposite sides are the same length, so the perimeter is ...
P = 20 in + 15 in + 20 in + 15 in = 2(20 in +15 in) = 2(35 in)
P = 70 in.
Only answer choice B has the correct value. (Its area figure is also correct.)
the capacity at the local pool is 225 people.
a. If there were 198 people at the pool, what is the percentage of capacity
b. if there were 180 people at the pool, what is the percentage of the capacity
a. 88%
b. 80%
Step-by-step explanation:
198/225=.88
180/225=.80
helppppppppppppppppppppppppppppp
Answer:
3) Not equivalent
4) Equivalent multiply by 2
5) Equivalent multiply by 2
What equals 18 to the third power
Answer:
5832
Step-by-step explanation:
18 × 18 = 324
324 × 18 = 5832
Open Picture Need Help With 11 & 12
Answer:
Step-by-step explanation:
7). (x + 3)(x + 7)
= x(x + 7) + 3(x + 7)
= x² + 7x + 3x + 21
= x² + 10x + 21
8). (4x + 2)(x - 2)
= 4x(x - 2) + 2(x - 2)
= 4x² - 8x + 2x - 4
= 4x² - 6x - 4
9). (3x + 2)(2x + 5)
= 3x(2x + 5) + 2(2x + 5)
= 6x² + 15x + 4x + 10
= 6x² + 19x + 10
10). (x² - 6)(x - 4)
= x²(x - 4) - 6(x - 4)
= x³ - 4x² - 6x + 24
11). (x² + 9)(x - 3)
= x²(x - 3) + 9(x - 3)
= x³ - 3x² + 9x - 27
12). (4x²- 4)(2x + 1)
= 4x²(2x + 1) - 4(2x + 1)
= 8x³ + 4x² - 8x - 4
What is the median of 2,1,2,5,3
Answer:
2
Step-by-step explanation:
Rearrange the data set in numerical order: 1, 2, 2, 3, 5 and take the number in the middle.
pleas help. 10 pointssss
Answer:
6
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if
necessary).
(3,6) and (1,8)