You measure 48 backpacks' weights, and find they have a mean weight of 70 ounces. Assume the population standard deviation is 6.4 ounces. Based on this, construct a 99% confidence interval for the true population mean backpack weight.
Give your answers as decimals, to two places
The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.
To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).
Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.
Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:
Confidence Interval = 70 ± (2.576 * 6.4 / √48).
Simplifying the expression, we get:
Confidence Interval ≈ 70 ± 1.855.
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Which of the following is NOT an irrational number?
Answer:
I'm gonna go with the first choice because it's rational.
Step-by-step explanation:
Answer:
pi is the answer
Step-by-step explanation:
Write an equation in the form y = mx for the relationship shown in the graph below.
On one day in an ice cream store, 48% of the cones they sell are chocolate. What is 48% written as a decimal?
Answer:
48% written as a decimal is 0.48.
Step-by-step explanation:
Conversion of a percentage to decimal:
To realize the conversion of a percentage to decial, we must divide the percentage by 100.
For example, 20% as a decimal is 20/100 = 0.1.
So
What is 48% written as a decimal?
Dividing by 100
48/100 = 0.48
48% written as a decimal is 0.48.
A store offers customers a 40% discount on the price of x of selected items. Then, the store takes off an additional 16% at the cash register. Write a price function P(x) that computes the final price of the item in terms of the original price x.
P(x) = ?
Answer:
x-40%-16%
Step-by-step explanation:
Which of the following functions shows an initial amount of $15 and an increase of 35%
each year?
y = 35(1.15)*
y = 15(35)*
y = 1500,35)*
y = 15(1.35)*
a triangle has a base of 3 1/8 in and an area of 5 7/8 square inches. find the height of the triangle
Answer:
Step-by-step explanation:
125/7 = 17 6/7
What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.
In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.
Order-Preserving Function:
A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.
Increasing Function:
If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).
Isomorphism:
A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:
a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).
b. f is onto (surjective): Every element in Q has a pre-image in P.
When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.
Automorphism:
An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.
These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.
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A 9th grade teacher at a local high school wants to know which subject the 9th grade students in the high school like best which group of people should make up a sample that will best answer her question a, other 9th grade teachers in her school
B, parents of 9th graders in her school
C, 9th graders in her school
D,9th graders in her homeroom
The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.
What are subjects?Subjects are the different sets of information which is studied.
9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.
The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.
Thus, the correct option is C, 9th graders in her school.
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Question 7 of 10 Which of the following is most likely the next step in the series? A B. C. D.
please help if you can
Answer:
I choose option d it maybe the answer
Answer:
D
Step-by-step explanation:
The number of sides increase by 1 each time
Translate the sentence into an equation.
Twice the difference of a number and 2 is 9.
Use the variable x for the unknown number.
Answer:
Translated El doble de la diferencia de un número y 2 es 9.
Utilice la variable x para el número desconocido.
On average, a major earthquake (Richter scale 6.0 or above) occurs three times a decade in a certain California county. Find the probability that at least one major earthquake will occur within the next decade. A. .1992 B. .7408 C. .9502 D. .1494
Use the table to find the value of x. Then write a sentence to explain, in words, the meaning and the value of x. The fastest growing type of movie screen is 3D.
Can we see the table, I don't have much information without it.
Allison can read 4 pages in 15 minutes. At this rate, how many pages can she read in an hour and a half?
Answer:
24
Step-by-step explanation:
For 15 minutes to get into 90 minutes (half an hour) you must multiply by 6.
15*?=90 is the same as 90/15=?
90/15 is 6.
We must do the same with the 4 pages, which is to multiply by 6.
4*6 is 24.
Freemont run club surveyed a random sample of 30 of their members about their running habits
The reasonable estimate would be 25
How to solve for the estimateWe have to solve this using the rule of 3
9 out of 30 members said that they run more than 5 days a week.
We will form the equations
when 9 ran = 30 menbers
when n ran = 84 members
we will then cross multiply
84 x 9 = 30 x n
n = 25.2
When we round this, the reasonable estimate would be 25
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Complete question
Freemont Run Club surveyed a random sample of 30 of their members about their running habits. Of the members surveyed, 9 said that they run more than 5 days a week.
There are 84 Freemont Run Club members.
Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week?
37 points! Need this asap
Answer:
a. Point E
b Line AB
Step-by-step explanation:
The lines AB and CD will intersect at a point
The Point is Point E
Planes will intersect at a line
Planes X and Plane Y intersect at line AB
Answer:
a. point E
b. points A and B ( which is line AB )
Step-by-step explanation:
a. the intersection of AB and CD = point E
b. the intersection of plane X and Y = points A and B ( which is line AB )
The money you earn varies directly with the number of lawns you mow. You earn $36 for mowing three lawns. a. Write an equation for the relationship between money earned and lawns mowed. b. How much money will you earn for mowing seven lawns?
Answer:
a. y = 36x, b. $252
Step-by-step explanation:
Answer:
a. y = 36x, b. $252
SHARE 300 USING 2:3:5
If we divide 300 into parts using the ratio 2:3:5, we get:
2 parts = 2/10 of the total ratio = 2/10 x 300 = 60
3 parts = 3/10 of the total ratio = 3/10 x 300 = 90
5 parts = 5/10 of the total ratio = 5/10 x 300 = 150
Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.
I hope I helped!
~~~Harsha~~~
If pand q vary inversely and pis 28 when Q is 29. determine q when p is equal to 14.
9514 1404 393
Answer:
q = 58
Step-by-step explanation:
If the variation is inverse, when p is multiplied by 1/2, q will be multiplied by the inverse (reciprocal) of 1/2, which is 2/1 = 2.
When p = (1/2)(28), q = (2)(29) = 59
q = 58
can you plz help me with this
Answer:
Step-by-step explanation:
im traade =23423423423
Bill runs around the perimeter of a circular track at 11 ft/sec. The track has a radius of 110 yd. After 24 seconds, Bill turns and runs to the center of the track along a straight (radial) line. Upon reaching the center, he turns and runs away along a different radial line to his starting position on the perimeter. Assume Lee does not slow down when he makes these two turns.
Required:
a. Sketch a picture of the situation.
b. How far has Lee traveled once he returns to his starting position?
c, How much time will elapse during Lee's circuit?
d. Find the area of the pie shaped sector esclosed by Lee's path.
Answer:
Step-by-step explanation:
We can see the sketch of the diagram in the image attached below.
Since 1 yard =3 feet
110 yards = 330 feet
Using: Distance = speed * time
If the speed of Lee is 11 ft/sec, he will travel the distance = 11 ft/sec * 24 sec = 264 ft in 24 sec.
The distance traveled = 264 ft
After traveling 264 ft, he takes a turn radially towards the center, then again takes a turn as he reaches the center.
b)
Total Distance traveled = A + B + C
A = C = 330 ( radius of the circle)
= 330 + 110 + 330
= 770 ft
c) Using the expression:
Speed = Distance/time
time = Distance/Speed
time = 770/11
time = 70 sec
d)
Area = 1/2 r²θ
Area = 1/2 r² (l/r)
Area = 1/2 × r × l
Area = 1/2 × 330 × 110
Area = 18150 ft²
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
Simplify the expressions:
−8y³ x 5y8
Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.
Step-by-step explanation:
You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.
Hope this helps! Have a good day :)
Find the annual interest rate.
I= $562.50, P=$1500, t= 5 years
The annual interest rate is_____%
The annual interest rate is 7.5%.
What is Simple interest?
Simple interest is a type of interest that is calculated on the principal amount (or the initial amount) of a loan or investment, without taking into account any accumulated interest from previous periods.
The formula for simple interest is:
I = P × r × t
where I is the interest earned, P is the principal (initial amount), r is the annual interest rate as a decimal, and t is the time in years.
In this case, we know I = $562.50, P = $1500, and t = 5 years.
we ca substitute values into the formula,
562.50 = 1500× r ×5
Simplifying, we get:
r = 562.50 / (1500 ×5)
r = 0.075
r = 7.5%
Therefore, the annual interest rate is 7.5%.
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On a coordinate plane, (negative 4, 6) is plotted.
Which ordered pair represents the reflection of the point (–4, 6) across both axes?
(4, 6)
(4, –6)
(–4, 6)
(–4, –6)
The reflection of the point (–4, 6) across both axes is (b) (4, -6)
How to determine the reflection of the point (–4, 6) across both axes?From the question, we have the following parameters that can be used in our computation:
Point = (-4, 6)
The rule of reflections across both axes is
(x, y) = (-x, -y)
Using the above as a guide, we have the following:
Image = (4, -6)
Hence, the reflection of the point (–4, 6) across both axes is (b) (4, -6)
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If your net worth is 50,000 and you pay off your student loan from your savings account how will your net worth statement be affected?
Find the perimeter of a rectangle with a length of 6x+3 and a width of -2x-5.
L=6x+3
B=-2x-5
\(\\ \rm\longmapsto Perimeter=2(L+B)\)
\(\\ \rm\longmapsto Perimeter=2(6x+3-2x-5)\)
\(\begin{gathered}\\ \rm\longmapsto Perimeter=2(4x-2)\end{gathered}\begin{gathered}\\ \rm\longmapsto Perimeter= 8x-4\end{gathered}\)
Help please and thanks! I always give brainliest!
Answer:
x=18, y=9
Step-by-step explanation:
The lines of y+3 and 12 look equal to each other. So do x-3 and 15. Because of this, we set each equal to each other and solve.
solving for x:
x-3 = 15
+ 3 +3
x=18
solving for y:
y+3=12
- 3 -3
y=9
hope this helps!!!
Answer:
(x, y) = (18, 9)
Step-by-step explanation:
Assuming the figure is a parallelogram, the diagonals bisect each other. Each half of one diagonal is equal to the other half of that diagonal.
Long diagonal:
x -3 = 15
x = 18 . . . . . add 3 to both sides of the equation
Short diagonal:
y +3 = 12
y = 9 . . . . . . subtract 3 from both sides of the equation
The variable values are ...
x = 18y = 9simplify: (4 - 5) - (13 - 18 + 2)
(a)-1
(b)-2
(c)1
(d)2
Answer:b
Step-by-step explanation:
Answer:d)2
Step-by-step explanation:
√√96
√8
Ο 213
Ο 4
Ο 222
D. 12
Answer:
2sqr3, the first option
Step-by-step explanation: