Answers
Answer:
D) (6.6, 7.4)
Step-by-step explanation:
Begin by finding the margin of error based on the given information.
[tex]\boxed{\begin{minipage}{7.3cm}\underline{Margin of Error formula}\\\\$\textsf{Margin of Error}= Z \times \dfrac{S}{\sqrt{n}}$\\\\where:\\\phantom{ww} $\bullet$ $Z =$ $Z$ score\\\phantom{ww} $\bullet$ $S =$ Standard Deviation of a population\\\phantom{ww} $\bullet$ $n =$ Sample Size\\\end{minipage}}[/tex]
Given:
S = 1.3n = 50The z-score for 95% confidence level is 1.96.
Therefore, to find the margin of error, substitute the values into the formula:
[tex]\implies \textsf{Margin of Error}= 1.96 \times \dfrac{1.3}{\sqrt{50}}[/tex]
[tex]\implies \textsf{Margin of Error}=0.360341...[/tex]
To find a reasonable range for the true mean number of hours a teenage spend on their phone, subtract and add the margin of error to the given mean of 7 hours:
[tex]\begin{aligned}\implies \textsf{Lower bound}&=7-0.360341...\\&=6.63965...\\&=6.6\;\; \sf (1\;d.p.)\end{aligned}[/tex]
[tex]\begin{aligned}\implies \textsf{Upper bound}&=7+0.360341...\\&=7.360341...\\&=7.4\;\; \sf (1\;d.p.)\end{aligned}[/tex]
Therefore, the reasonable range for the true mean is:
(6.6, 7.4)Related Questions
Find the value of x in each parallelogram
Answers
Answer:
Step-by-step explanation:
a) x and 53 are adjacent angles of a parellelogram:
therefore, their sum will be 180 degrees
x + 53 = 180 --> x = 180 - 53 = 127 degrees
b) We know that opposite angles in a parallelogram are equal:
therefore, x = 113 degrees
c) Similarly, x = 80 degrees
d) x + 62 = 180
x = 180 - 62 = 118 degrees
Kate has $400. She wants to have $430 to buy a couch. How much interest would she have to earn in order to get the additional $30?
Select the best answer from the choices provided.
A. 3%
B. 4.5%
C. 6%
D. 7.5%
Answers
Answer:
D) 7.5%
Step-by-step explanation:
We can solve this through guessing and checking, or we can do this mathematically. We will try both approaches.
Mathematically:
We know that to get the extra $30 if we have $100, is a 30% interest. Now, since we have 4x 100, and these numbers are inversely proportional, we will need to divide 30 by 4. Doing this gives us 30/4 = 7.5, so the answer is 7.5%.
Guess and Check:
This way is a bit slower, but we will go through each answer and find how much money we would get from them. So, we would take our percent, change it to a number of that percent, considering we are taking it from 100, and multiply it by 4 since we have $400. We will get each of these respectively:
A) 3% = 3 * 4 = $12
B) 4.5% = 4.5 * 4 = $18
C) 6% = 6 * 4 = $24
D) 7.5% = 7.5 * 4 = $30
As you can see, D) gives us that extra $30, so the answer is D) 7.5%.
Hope this helped!
Consider the sequence 1, 4, 16, 64, 128, …
Which statement describes the sequence?
A. The sequence diverges.
B. The sequence converges to 0.
C. The sequence converges to ∞.
D. The sequence converges to –∞.
Answers
Answer:
b is correct answer
Step-by-step explanation:
that is correct answer
Answer:
The sequence diverges
Step-by-step explanation:
A sphere has a radius of 24 centimeters. What is its volume?
V
=
Cm^3
Answers
Hello there!
Answer:
[tex]V = 18432\pi[/tex] or approximately 57876.48
Step-by-step explanation:
[tex]V = \frac{4}{3} \pi R^{3}[/tex]
R = 24
[tex]V = \frac{4}{3} \pi *24^{3} = 18432\pi[/tex]
if [tex]\pi =3.14[/tex] then:
[tex]V = 57 876.48[/tex]
What is a formula for the nth term of the given sequence? 15,75,375
Answers
Answer:
3 × 5 ^ n
Step-by-step explanation:
since the series is exponential, the ratio between adjacent terms is 5.
nth term of geometric/exponential series is given by:
nth term = first term × (ratio)^(n-1)
= 15 × 5^ (n-1)
= 15 × 5^n × 5^-1
= 3× 5^n
1/2x+y=4
x+1/3=2
solve the linear system
Answers
Answer:
x = 5/3, y = 2/3
Step-by-step explanation:
x/2 +y = 4 equ 1x + 1/3 = 2 equ 2
solve for x in equation 2 and then use it to find y in equation 1Write a rule to describe each transformation.
S(1,-4), R(2,0), 2(3,0), P(3,-2)
to
S'(-5,-2), R'(-4, 2), Q'(-3, 2), P(-3,0)
Answers
The transformation of S(1,-4), R(2,0), 2(3,0), and P(3,-2) is S(-6, -2), R(-6, 2), as well as the category is rotation transformation.
what is transformation ?Four distinct approaches to modify the position and/or shape of a point, line, or geometric figure are collectively referred to as transformations. The Pre-Image, which refers to the object's initial shape, and the Image, which refers to the object's ultimate shape and location after transformation, are both terms. Transformations can be divided into three categories: translations, reflections, and dilations. There are two types of transformations that can be done to a function: vertical (which affects the y-values) and horizontal (affects the x-values). The four transformation variables are included in the equation of a function that is shown below (a, b, h, and k). changing the log. Take the log of every observation as an example. Transposition by the square root. The square root of each observation is what is need for this.
given
Translation or shift vector refers to the pair (tx, ty). Column vectors are another way to visualize the aforementioned equations.
S(1,-4), R(2,0), 2(3,0), P(3,-2) to S'(-5,-2), R'(-4, 2), Q'(-3, 2), P(-3,0)
is S (-6, -2) , R( -6 , 2)
The transformation of S(1,-4), R(2,0), 2(3,0), and P(3,-2) is S(-6, -2), R(-6, 2), as well as the category is rotation transformation.
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Kyle earns 11.2% commission on his sales at the electrical retail store. He made sales worth $8571 this month. how much commission has he earned? Give your answer to the nearest dollar.
Answers
Answer:
Sales=8571$
Commission=11.2% of Sales
=11.2/100 × 8571$
=(11.2×8571)/100 $
=959.952$ Which is nearly equal to 960$.
*mark me brainliest
Chanise's allowance is 1 3 of her older brother's allowance. Chanise's allowance is $6 per week. Solve the equation a 3 =6 to find out how much allowance Chanise's brother earns in a week.
Answers
Answer:
a = $ 18
Step-by-step explanation:
It is given that Chinase's allowance is $6 per week and it is 1/3rd of his brother's allowance. Assuming the brother's allowance as "a", we can write the equation as follows:
[tex]\$6 = \frac{a}{3}\\a = (\$6)(3)[/tex]
a = $ 18
Therefore, the allowance earned by Chinse's brother every week is found to be $ 18.
Help me please past due! Complete all 5 problems in simplest form and tell me what you did
Answers
5/20= 1/4 because 1 x 5= 5 and 4 x 5= 20
9/27= 1/3 because 1 x 9 =9 and 3 x 9=27
1/2 is the simplest form already
12/36= 1/3 because 1 x 12= 12 and 3 x 12= 36
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
14, 10, 6, ...
Answers
Answer:
Step-by-step explanation:
Each term in the sequence is 4 less than the previous term. That indicates an arithmetic sequence, which has the form a(n) = a(1) + d(n -1), where d is the common difference. Here the common difference is -4, and so the appropriate sequence is
a(n) = 14 - 4(n - 1)
A person invests $1000 in an account that earns 5.5% annual interest. Find when
the value of the investment has doubled.
Answers
Answer:
P: the principal, the amount invested
A: the new balance
t: the time
r: the rate, (in decimal form)
Ex1: If $1000 is invested now with simple interest of 8% per year. Find the new amount after two years.
P = $1000, t = 2 years, r = 0.08.
A = 1000(1+0.08(2)) = 1000(1.16) = 1160
Compound Interest:
P: the principal, amount invested
A: the new balance
t: the time
r: the rate, (in decimal form)
n: the number of times it is compounded.
Ex2:Suppose that $5000 is deposited in a saving account at the rate of 6% per year. Find the total amount on deposit at the end of 4 years if the interest is:
P =$5000, r = 6% , t = 4 years
a) simple : A = P(1+rt)
A = 5000(1+(0.06)(4)) = 5000(1.24) = $6200
b) compounded annually, n = 1:
A = 5000(1 + 0.06/1)(1)(4) = 5000(1.06)(4) = $6312.38
c) compounded semiannually, n =2:
A = 5000(1 + 0.06/2)(2)(4) = 5000(1.03)(8) = $6333.85
d) compounded quarterly, n = 4:
A = 5000(1 + 0.06/4)(4)(4) = 5000(1.015)(16) = $6344.93
e) compounded monthly, n =12:
A = 5000(1 + 0.06/12)(12)(4) = 5000(1.005)(48) = $6352.44
f) compounded daily, n =365:
A = 5000(1 + 0.06/365)(365)(4) = 5000(1.00016)(1460) = $6356.12
If mZBCD = (7x + 10)' and MBAD = (19x – 50), find mBAD.
Answers
Answer:
could u upload the figure as well?
Step-by-step explanation:
Find the distance AB:
A = (-2, 1) and B = (5, -4)
Simplify.
d = √(5− −2)² + (−4 − 1)²
A. √74
B. √24
C. √-16
Answers
The formula to calculate the distance:
d = √(x₂ - x₁)² + (y₂ - y₁)²
The points are:
(x₁,y₁) = -2, 1(x₂,y₂) = 5, -4We substitute and solve:
d = √(-5(-2))² + (-4-1)²
d = √7² + (-5)² = √49 + 25
d = √74 ====> Alternative "A"
A 98% confidence interval for a proportion is found to be (0.47, 0.53). What is
the sample proportion?
A. 0.50
B. 0.53
C. 0.51
D. 0.49
Answers
Answer: .50
Step-by-step explanation:
A pex
Please help me fast 20 points
Answers
Step-by-step explanation:
MY ANSWER IS CORRECT SO GIMME 5 STARS AND BRAINLIEST PLSPLSPLS
Standardized tests for certain subjects, given to high
Which of the following is the correct interpretation of P(X
school students, are scored on a scale of 1 to 5. Let X
> 4)?
represent the score on a randomly selected exam. The
distribution of scores for one subject's standardized test
• The probability of a of a randomly selected test having
is given in the table.
score of at most 4 is 0.36.
• The probability of a randomly selected test having a
Score
score of at least 4 is 0.36.
Probability
0.18
0.20
0.26
0.21
0.15
• The probability of a randomly selected test having &
score lower than 4 is 0.85.
• The probability of a randomly selected test having a
score higher than 4 is 0.15.
Answers
Answer: • The probability of a randomly selected test having a score higher than 4 is 0.15.
This is the correct interpretation of P(X > 4). P(X > 4) represents the probability of a randomly selected test having a score that is greater than 4. This is calculated by summing up the probability of all the scores that are greater than 4 in the distribution table.
Step-by-step explanation:
The ff. test scores were recorded by job applicants: 65, 68, 70, 75, 88, 90, 90, 91, 92. What is the mode
Answers
In the recorded test scores 90 is the mode, as it appears most frequently in the set of ff test scores.
What do you meant by mode?Job applicants submitted their ff test results, which were as follows: 65, 68, 70, 75, 88, 90, 90, 91, and 92. Following that, the Mean (Average) is 81, Median (Middle) is 88, and Mode (Most Common) is 90. The mode can be calculated quite easily.
After sorting the numbers in a set according to their order—lowest to highest or highest to lowest—count how many times each number appears in the group.
The mode is the one that is most prevalent. the quantity that happens the most frequently, or the quantity that appears the most frequently overall. The mode of the numbers 4, 2, 4, 3, 2, and 2 is 2, since it appears three times, more than any other number. The most frequent number in a set of numbers is called the mode.
To find the mode, we first need to put the test scores in order from lowest to highest:
65, 68, 70, 75, 88, 90, 90, 91, 92
Then we can count how many times each number appears:
65: 1 time
68: 1 time
70: 1 time
75: 1 time
88: 1 time
90: 2 times
91: 1 time
92: 1 time
As we can see, the number 90 appears the most with 2 times, so the mode of this set of data is 90.
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How much fabric is used to create the tent, induding the bottom?
A. 276.4
B. 293.2
C. 396.4
D. 466.4
Answers
Answer:
B
Step-by-step explanation:
Select the correct answer.
Which equation shows function gin factored form?
g(x) =2x^2-6x-56
Answers
Answer:
C) g(x)=2(x+4)(x-7)
Step-by-step explanation:
g(x)=2x²-6x-56
g(x)=(2x+8)(x-7)
g(x)=2(x+4)(x-7)
Therefore, C is correct. You can expand to check your answer.
Skill Builder
Sereka is the rewards program manager for
Landmiles. Clients receive "land miles" for
their purchases that can be traded in for a
financial reward. To determine the value of
the financial reward that clients receive she
uses the following function rule:
f(x)=15{}(x-25)**
x: represents the number of reward miles
traded in and is always an integer value.
f(x): represents the value of the reward in
dollars.
Tristan and Delaney are tasked with testing
the system and made the following reward
redemptions.
• Tristan traded in 1500 miles for a $290
reward.
Delaney traded in her miles for a $383
reward.
If Tristan and Delaney had traded in all
of their miles together, they would have
received a reward of $665. What are
the possible numbers of land miles that
Delaney traded in?
Answers
Answer:
x: represents the number of reward miles
traded in and is always an integer value.
f(x): represents the value of the reward in
dollars.
Tristan and Delaney are tasked with testing
the system and made the following reward
redemptions.
• Tristan traded in 1500 miles for a $290
-9 - (-4)
This is for homework help :’)
Answers
Answer:
-5
Step-by-step explanation:
-9 - ( -4 )
= -9 + 4
= -5
Step-by-step explanation:
-9-(-4) ( when there is a- in front of an expresion in parentheses, change the sign of each term in the expression )
-9+4 (Calculate the sum)
- 5
For which graph is the parent function y= x2?
Answers
Answer: Well, it’s obviously not the first one. But if you could scroll down, so I could see the other graphs, that would be amazing. It would also help me answer the question!
Answer:
option a
Step-by-step explanation:
edg
Someone help me out my grade are bad
Answers
Answer:
= 15
Step-by-step explanation:
hope this helps
Answer:
15
Step-by-step explanation:
mrk me brainiest plz
ASAP
- WILL MARK BRIAILST
Answers
Answer: Maybe D...........?
i will give brainlyest
Answers
Answer:
2. -1/2
4. 3/2
Step-by-step explanation:
Gradient = (Y1 - Y2)/(X1 - X2)
2.
Point 1: (4, -1)
Point 2: (-2, 2)
Gradient = (-1 - 2)/(4 - (-2)) = -3/6 = -1/2
3.
Point 1: (4, 6)
Point 2: (-4, -6)
Gradient = (6 - (-6))/(4 - (-4)) = 12/8 = 3/2
45097 divided by 23 please help me
Answers
Answer:
1409.28
Step-by-step explanation:
hope this helps :)
Which set of ordered pairs represents y as a function of x?
Please answer my question
A. {(2,2), (3,3), (2,4), (5,5)}
B. {(−1,−2), (−2,−1), (−2,7), (−4,8)}
C. {(−1,6), (4,3), (1,1), (−3,4)}
D. {(0,1), (2,1), (3,1), (0,2)}
Answers
Answer:
C.
Step-by-step explanation:
The set of ordered pairs can only be a function if the x value is not repeated .Thus,only C is a function as the x values (-1,4,1,-3) are unique while the other options have a repetition of its certain x values.
I hope ive helped
People attending a basketball game either supported the home team or the visiting team. If 549 of the people attending supported the home team and 351 supported the visiting team, what percentage supported the home team?
Answers
Answer:
Your answer is about 36%.
Step-by-step explanation:
First you do 549-351 = 198.
You do this to find the amount of people supporting the home team.
Then you do 198/549 = 0.36065573770492.
Times this number by 100 and you have your answer of 36.065573770492%.
Answer:
36%
Step-by-step explanation: First, you need to find out what number of people supported the home team by finding the difference.
549-351=198
To turn the number of home team supporters into a percentage, you need to take the fraction [tex]\frac{198}{549} \\[/tex] and convert it to a decimal by division.
198/549=.3606557377
Round to the hundredths place
=.36
move the decimal, and you have your percentage
36%
F(5)= 12 for a geometric sequence that is defined recursively by the formula f(n) = 0.3• f(n-1), where n is an integer and n>0. Find f(7)Round your answer to the nearest hundreth
Answers
Answer:
1.8
Step-by-step explanation:
Answer:
1.8
Step-by-step explanation: