Answer:
11.24
Step-by-step explanation:
If she arrived at 12.15, to find the time of departure we have to deduct 33 mins and the time she spent for photos,18 mins from this to get time of departure.
Total time spent for journey
33mins +18 mins = 51mins
time of departure = 12.15 - 51mins
so the time of departure is 11.24
In a large university, 20% of the students are business majors. A random sample of 100 students is selected, and their majors are recorded. a) Compute the standard error of the proportion. b) What is the probability that the sample contains at least 12 business majors
Answer:
a. 0.04
b. 0.9772
Step-by-step explanation:
Please check attachment for complete solution and step by step explanation
There are 3 urns A, B and C each containing a total of 10 marbles of which 2, 7 and 4 respectively are red. One of the urns is selected randomly and a marble is drawn from the selected urn. It is found that the marble is red. What is the probability that the red marble is taken from urn B
======================================================
Explanation:
We know that the marble selected is red, so we don't need to focus on the other colors.
7 red marbles are in urn B out of 2+7+4 = 13 total red marbles.
The probability the red marble came from urn B is therefore 7/13
Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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which is bigger -4 or -5
Answer:
-4
Step-by-step explanation:
-4 would be larger than -5 because negative numbers get smaller the farther they are from zero.
The snack bar at the school purchases water bottles at a wholesale price and then marks them up for a profit. The markup is 33.5%, which is $0.28. What is the wholesale price of each water bottle?
Answer:
0.84 would be the answer...
Of nine executives in a business firm, four are married, three have never married and two are divorced. Three of the executives are to be selected for a promotion. Let Y1 denote the number of married executives and Y2 be the number of never-married executives among the three selected for promotion. Assuming that the three are randomly selected from the nine available.
a. Find the joint PMF for y1 and y2
b. Find the marginal probability distribution of y1
c. If we let y3 denote the number of divorced executives among the three selected for promotion. Find P(y3 =1 | y2 = 1)
d. Are Y1 and Y2 independent? Why?
e. Find cov(Y1,Y2). Does the sign surprise you? Why?
Answer:
werere
Step-by-step explanation:
were
A sporting goods store wants to know what products their customers most want. There were four different suggestions about how to survey the customers.
Which method of sampling customers is least biased?
A Survey every other adult who brings children along to shop.
B Survey only customers who enter the store's shoe section.
C Survey every person who enters the sporting goods store between 10:00 and 11:30 AM.
D Survey every 10th person or group who enters the sporting goods store throughout the entire day.
Answer:
I believe the answer is C
Step-by-step explanation:
if its wrong, im sorry an I will delete the answer
A
B
C
D
37. What is the length of side P in the figure below?
6.7 cm
11 cm
15 cm
45 cm
20 cm
25 cm
P
The length of the side P is 15 cm. And the right option is C.
What is Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
To calculate the length of side P we use Pythagoras theorem's formula
Pythagoras formula:
a² = b²+c²......................... Equation 1Where:
a = Diagonal of the rectangleb = Length of the rectanglec = Width of the rectangleFrom the diagram,
Given:
a = 25 cmb = 20 cmc = p cmSubstitute these values into equation 1
25² = 20²+p²p² = 25²-20²p² = 225p = √225p = 15 cmHence, the right option is C 15 cm.
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Explain the process you would use to find the area of the shaded region. Then calculate the shaded region.
You may leave your answer in terms of π or round to the nearest tenth.
The shaded region of the rectangle is 242.9 cm² and the shaded region of the sector is 7.1 square units.
What is the area of the shaded regions?Question 17) is a figure of a rectangle and two inscribed circles.
The area of a rectangle is expressed as: A = length × width
The area of a circle is expressed as: A = πr²
Where r is the radius.
To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.
Area = ( Length × width ) - 2( πr² )
Area = ( 40 × 10 ) - 2( π × 5² )
Area = ( 400 ) - 2( 25π )
Area = 400- 50π
Area = 242.9 cm²
Area of the shaded region is 242.9 squared centimeters.
Question 18) is the a figure a sector of a circle and a right triangle.
The area of a sector is expressed as: A = (θ/360º) × πr²
The area of a triangle is expressed as: A = 1/2 × base × height
To determine the area of the shaded region, we simply subtract the areas of the triangle from the area of the sector.
Hence:
Area = ( (θ/360º) × πr² ) - ( 1/2 × base × height )
Plug in the values:
Area = ( (90/360º) × π × 5² ) - ( 1/2 × 5 × 5 )
Area = 25π/4 - 12.5
Area = 7.1
Therefore, the area of the shaded region is 7.1 square units.
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The average retirement age for a certain country was reported to be 56.4 years according to an international group dedicated to promoting trade and economic growth. With the pension system operating with a deficit, a bill was introduced by the government during the summer to raise the minimum retirement age from 60 to 62. Suppose a survey of 40 retiring citizens is taken to investigate whether the new bill has raised the average age at which people actually retire. Assume the standard deviation of the retirement age is 55 years. Using α=0.10
Required:
Calculate the probability of a Type II error occurring if the actual population age is 57.5 years old.
Answer:
|Z| = |-0.126| = 0.126 < 1.645
Null hypothesis is accepted
The retiring citizens is taken to investigate whether the new bill has raised the average age at which people actually retire.
μ = 57.5
Step-by-step explanation:
Explanation:-
The average retirement age for a certain country was reported to be 56.4 years
The mean of the sample x⁻ = 56.4
The standard deviation of the Population 'σ'= 55 years
The mean of the population μ = 57.5
Null hypothesis: H₀:The retiring citizens is taken to investigate whether the new bill has raised the average age at which people actually retire.
μ = 57.5
Alternative Hypothesis : H₁: μ ≠57.5
Test statistic
\(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)
critical value:
\(Z_{\frac{\alpha }{2} } = Z_{0.05} =1.645\)
\(Z = \frac{56.4-57.5 }{\frac{55}{\sqrt{40} } } = -0.126\)
|Z| = |-0.126| = 0.126 < 1.645
The null hypothesis is accepted
Conclusion:-
The retiring citizens is taken to investigate whether the new bill has raised the average age at which people actually retire.
μ = 57.5
Let f(x) = -2x^2– 7 and g(x) = 4x – 7.(fog)(x) =(gof)(x) =(fog)(1) =
Part 1.
The compositon fog is given by
\((f\circ g)(x)=-2(4x-7)^2-7\)which gives
\(\begin{gathered} (f\circ g)(x)=-2(16x^2-56x+49)^{}-7 \\ (f\circ g)(x)=-32x^2+112x-98^{}-7 \\ (f\circ g)(x)=-32x^2+112x-105 \end{gathered}\)Then, the answer is:
\((f\circ g)(x)=-32x^2+112x-105\)Part 2.
The composition gof is given by
\((g\circ f)(x)=4(-2x^2-7)-7\)Then, the answer is:
\((g\circ f)(x)=-8x^2-35\)Part 3.
In this case, we need to substitute x=1 into the answer of Part 1, that is,
\(\begin{gathered} (f\circ g)(1)=-32(1)^2+112(1)-105 \\ (f\circ g)(1)=-32^{}+112-105 \end{gathered}\)Therefore, the answer is:
\((f\circ g)(1)=-25\)5 pound bag of cat food costs 11 dallors . Wh3is the unit price of yhe cat food
The unit price would be the cost per pound.
Divide total cost by total weight.
$11 / 5 pounds = $2.20 per pound
Answer: $2.20
15. Express the fraction
11
30
in decimal form.
Answer: 2 1/16 = 2.0625
Answer:
2.17
Step-by-step explanation:
A marine biologist measured one dish that was 1 1/4 of a foot and a second fish that was 3/4 of a foot long. How much longer was the first fish
Answer:
1/3 foot longer
Step-by-step explanation:
2/3-1/3=1/3
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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The wheel on a scooter completes 124 revolutions and travels 22.4 meters. What is the diameter of the wheel in mm? Use 3.14 for pi and round to the nearest whole millimeter.
If wheel on a scooter completes 124 revolutions and travels 22.4 meters then diameter of the wheel is 57 mm
Each revolution of the wheel covers a distance equal to the circumference of the wheel.
The diameter of the wheel "d".
The distance covered in 124 revolutions is:
distance = 124 x circumference
= 124 x pi x d
= 124 x 3.14 x d
We know that this distance is equal to 22.4 meters, so we can set up an equation:
124 x 3.14 x d = 22.4
Simplifying and solving for d:
d = 22.4 / (124 x 3.14)
d = 0.057 meters
As we know that 1 meter is equal to thousand millimeters so multiply by 1000 to get in millimeters
d = 57 millimeters
Therefore, the diameter of the wheel is approximately 57 mm.
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A high school is voting on a new mascot. Lion Eagle Bee Ninth Grade 45% 32% 23% Tenth Grade 36% 40% 24% Eleventh Grade 50% 28% 22% Twelfth Grade 40% 25% 35% Match the two-way table to the segmented bar graph.
The steps to create a bar graph are explained below.
To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.
Here is how we can match the two-way table to the segmented bar graph:
For the Lion mascot option, the segmented bar graph would have the largest segment for 11th grade, followed by 9th grade, 10th grade, and 12th grade.For the Eagle mascot option, the segmented bar graph would have the largest segment for 10th grade, followed by 11th grade, 9th grade, and 12th grade.For the Bee mascot option, the segmented bar graph would have the largest segment for 12th grade, followed by 9th grade, 10th grade, and 11th grade.By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.
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Please help with this one
Answer:1.h(2•5)=6
Step-by-step explanation:
h(2•5)[3(2•5)-1]
[7•5-1]
[6•5]
h(2•5)=6
The rest in the picture
Hopefully that help you :D
The decrease in price of an article is 5% of the original price. If the new price is $ 285, what was
the original price?
for every 15 Cheetos I ate 300 calories what's the unit rate
Answer:
20 calories per Cheetos
Step-by-step explanation:
hope it helped
Solve the equations using suntraction. Show all your work.
X-6y=11 and 2x-5y=1
Write an expression to represent: 9 more than the quotient of 2 and x
Expression for given numerical is: 9+ (2/x)
Given that we have an word equation that is 9 more than the quotient of 2 and x
A quotient is a quantity produced by the division of two numbers.
Quotient of 2 and x is \(\frac{2}{x}\).
Nine(9) more than 2/x is = 9+ (2/x)
So we have an expression that is:
9+ (2/x)
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Only need evens I’ll give brainlist
The standard forms of the quadratic equations are listed below:
Case 6: z² - 4 · z - 5
Case 8: 2 · x² - 18
Case 10: 2 · l² - 3 · l - 20
Case 12: 5 · q² + 24 · q - 5
Case 14: 6 · m² - 6
Case 16: 10 · a² - 19 · a + 6
Case 18: 2 · x² - 3 · x · y + y²
The standard forms of the cubic equations are listed below:
Case 20: t³ + 3 · t² + 6 · t + 4
Case 22: m³ + 6 · m² + 14 · m + 15
How to expand a quadratic equation into standard equation
In this problem we find eight quadratic equations in factor form, whose standard form must be determined. Each form is introduced below:
Factor form
a · (x - r₁) · (x - r₂)
Standard form
a · x² + b · x + c
Where:
a - Lead coefficientb, c - Other coefficientsx - Independent variable.y - Dependent variable.The transformation can be done by algebra properties:
Case 6
(z - 5) · (z + 1)
z² - 4 · z - 5
Case 8
(2 · x - 6) · (x + 3)
2 · (x - 3) · (x + 3)
2 · (x² - 9)
2 · x² - 18
Case 10
(2 · l + 5) · (l - 4)
2 · l · (l - 4) + 5 · (l - 4)
2 · l² - 8 · l + 5 · l - 20
2 · l² - 3 · l - 20
Case 12
(q + 5) · (5 · q - 1)
q · (5 · q - 1) + 5 · (5 · q - 1)
5 · q² - q + 25 · q - 5
5 · q² + 24 · q - 5
Case 14
(2 · m + 2) · (3 · m - 3)
2 · (m + 1) · 3 · (m - 1)
6 · (m + 1) · (m - 1)
6 · (m² - 1)
6 · m² - 6
Case 16
(5 · a - 2) · (2 · a - 3)
(5 · a - 2) · 2 · a - (5 · a - 2) · 3
10 · a² - 4 · a - 15 · a + 6
10 · a² - 19 · a + 6
Case 18
(x - y) · (2 · x - y)
2 · x · (x - y) - y · (x - y)
2 · x² - 2 · x · y - x · y + y²
2 · x² - 3 · x · y + y²
The following two cases belong to cubic equations:
Case 20
(t + 1) · (t² + 2 · t + 4)
t² · (t + 1) + 2 · t · (t + 1) + 4 · (t + 1)
t³ + t² + 2 · t² + 2 · t + 4 · t + 4
t³ + 3 · t² + 6 · t + 4
Case 22
(m + 3) · (m² + 3 · m + 5)
(m + 3) · m² + 3 · (m + 3) · m + 5 · (m + 3)
m³ + 3 · m² + 3 · m² + 9 · m + 5 · m + 15
m³ + 6 · m² + 14 · m + 15
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How can you find sums and differences of rational expressions? Explain
Answer: A rational expression is a ratio of two polynomials.
Step-by-step explanation: To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator. When the denominators are not the same, we must manipulate them so that they become the same. In other words, we must find a common denominator.
Which is the largest ratio?
Answer:
1:3
Step-by-step explanation:
My grandfather has a big collection of sliver dollars and 50-cent pieces.
Answer:
thats cool
Step-by-step explanation:
Find the quotient of 3/5 3/7. Write your answer in the simplest form.
\(\cfrac{3}{5}\div\cfrac{3}{7}\implies \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{5}\cdot \cfrac{7}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{7}{5}\implies 1\frac{2}{5}\)
A block of wood has a density of 0.6g/cm^3 and a volume of 1.2cm^3.What is the mass of the block of wood?
Answer:
Below
Step-by-step explanation:
You can use this formula to calculate the mass of an object
Mass = Volume x Density
Plugging everything in....
Mass = ( 1.2cm^3 ) ( 0.6g/cm^2 )
= 0.72 g
Hope this helps!
Jamie buys a new fish tank, which is 55 cm long, 25 cm wide and 40 cm high. He needs
to fill the tank with water that has to be 35 cm deep. How much water does he need to fill
the tank, if 1000 cm = 1 litre? Give your answer rounded to the nearest litre.
Answer:
0.155litre
Step-by-step explanation:
55+25+40+35=155cm
100Cm=1litre
155cm_ ?
155cm×1litre/1000cm
0.155Litre
Solve 5,082 ÷ 6 = ________.
Answer: 847
Step-by-step explanation:
Hopefully this helped!