Answer:
(130.08, 139.92)
Step-by-step explanation:
Given that:
Mean (m) = 135
Standard deviation (σ) = 30
Sample size (n) = 100
α = 90%
The confidence interval value is obtained using the relation:
Mean ± Zcritical * (standard deviation / sqrt(n))
Zcritical at 90% = 1.64
standard deviation / sqrt(n) = 30 / sqrt(100)
= 30 / 10 = 3
Hence,
135 ± 1.64 * (3)
Lower limit : 135 - (1.64 * 3) = 130.08
Upper limit : 135 + (1.64 * 3) = 139.92
Hence,
Confidence interval = (130.08, 139.92)
Prove that x+1 is a factor of x^n+1 where n is an odd positive integer.
Answer:
because x^n+1 =
the number which is n and n is an odd number and my odd number is 3 so
x^3+1= 4
= x^4
1 1/2 x 4 1/4 = ?
PLZ ANSWER QUICKLY
21. Transportation A youth group with 26 members is going skiing. Each of the five
chaperones will drive a van or sedan. The vans can seat seven people, and the
sedans can seat five people. Assuming there are no empty seats, how many of each
type of vehicle could transport all 31 people to the ski area in one trip?
Answers:
2 sedans and 3 vans
=====================================================
Work Shown:
s = number of sedans
v = number of vans
1 sedan = 5 seats
s sedans = 5s seats
1 van = 7 seats
v vans = 7v seats
5s+7v = all seats
5s+7v = 31
Let's go through all the values of s to see which values of v work.
If s = 0, then the equation turns into 7v = 31, but the solution for v isn't an integer.If s = 1, then the equation turns into 5+7v = 31 and that solves to v = 26/7 = 3.71 which also isn't an integerIf s = 2, then the equation becomes 10+7v = 31 and that solves to v = 3. So we found the answer. This means we need 2 sedans and 3 vans.As a check:
2 sedans = 5*2 = 10 seats
3 vans = 7*3 = 21 seats
10+21 = 31 seats total
This confirms the answer.
The number of vans used is three and the number of sedans is two
Let :
v represent the number of vans
s represent the number of sedans
The following equations can be gotten
7v + 5s = 31 equation 1
v + s = 5 equation 2
The elimination method would be used to solve for v and s
Multiply equation 2 by 7
7v + 7s = 35 equation 3
Subtract equation 1 from 3
2s = 4
s = 4/2
s = 2
Substitute for s in equation 2
v + 2 = 5
v = 5 - 2
v = 3
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
Express as a fraction or a mixed number
1 1/2%
Answer:
5 and 1/2
Step-by-step explanation:
thx for helping me get smart and learing my math ava :D
Answer:
NICEE
Step-by-step explanation:
How much simple interest would Kaitlin earn on $300 at 6% for 3 months?
A. 27
B. 9
C. 54
D. 18
Answer:
C) $54.00
Step-by-step explanation:
300*6%*3
300*0.06*3
which is $54.
Hope this helps plz hit the crown :D
What's the midpoint between 3 and -5
Answer:
Step-by-step explanation:
just imagine you are on a number line and the numbers are
-5....-4.....-3.....-2....-1....0....1....2.....3
as you see the midpoint is -1
Santiago starts a savings account with $20. Each month he deposits $15 more into the account. Santiago wants to save a least $80. Write an inequality that represents this situation.
Answer:
$20 + $15m ≥ $80
Step-by-step explanation:
He starts off with $20.
He adds $15 each month, so $15m.
He wants to save at least $80, which means greater than or equal to $80. So, you use this symbol: ≥
Put it all together.
$20 + $15m ≥ $80
Hope that helps.
PLEASE HELP RN! 50 POINTS IF YOU ANSWER THIS IS DUE TODAY
Answer:
I graphed this...
Step-by-step explanation:
It is not linear because it is not a strait line and it doesnt go through the middle!
Hope this helps! :)
Estabon poured himself a hot beverage that had a temperature of 201 F then set it on the kitchen table to cool. The temperature of the kitchen was a constant 68F. If the drink cooled to 181F IN 4 minutes, how long will it take for the drink to cool to 104F?
Answer:
Fifteen minutes and twenty-four seconds.
Step-by-step explanation:
In four minutes, Estabon's drink cooled down 20 degrees (201 - 181 = 20). This means that the drink cooled down five degrees a minute. The drink must cool down 77 more degrees, (181 - 104 = 77). 77 divided by 5 is 15.4. 15.4 translated to seconds is 15 minutes and 24 seconds.
given the side lengths of 6, 13, and 20, determine whether the triangle is acute , right , obtuse, or not a triangle.
Answer:
Not a triangle.
Step-by-step explanation:
Sum of the two smaller sides must be greater than the largest side.
Three less than half of a number is - 1. Find the number.
Answer:
x = 4
Step-by-step explanation:
Three less than half of a number is -1
The Half Of A Number means the number can be anything, so we can use "x." However, it is half so it would become: 1/2x.
Three less than means it is minus three, therefore becomes: 1/2x-3
However, three less than half of a number is (or in other words is equal too) -1, so the overall equation is
1/2x - 3 = -1
first, add three on both sides to get:
1/2x = 2
multiply two on both sides to get:
x = 4
Enter the number that belongs in the green box cd=
Answer:
9
Step-by-step explanation:
I think 9 since there’s a right angle, so there’s an assumed right angle on the other side of the line. 9 is the hypotenuse when AB is 3 so I think CD would also be 9 since BC is 3 as well.
Which shows the use of the associative and commutative properties to make simplifying 3.2 + 20 – 3+ 4.8 + 19 easier?
Answer:
B
Step-by-step explanation:
(3.2+4.8)+[20+19+(-4)]
8. +. 47. -4
=43
In the rectangle below, AChas a length of 32 units. What is the length of DE?
O A. 32 units
OB. 64 units
OC. 24 units
O D. 16 units
-4y-4+(-3) please help me! thank you
Answer: 1.75 = y
Explanation: In the picture linked
Hope this helps
The mean running time of a certain variety of nickel-cadmium rechargeable flashlight battery is known to be normally distributed with a mean of 8.5. A change in production method for this battery has been proposed, and a simple random sample of 64 batteries produced by the new method has mean running time of 8.72 hours. Assume the population is normally distributed with a standard deviation of 0.55 hour as known and remains unchanged, test a claim that the new production method improving the battery mean running time using 0.05 significance level.
Answer:
answer is a
Step-by-step explanation:
0 = 4 + n/5 two step equations
Answer: n= -20?
Step-by-step:
Simplify both sides of the equation
1/5n+4=0
Then subtract 4 from both sides
1/5n + 4 - 4 = 0 - 4
1/5n= -4
Then multiply both sides by 5
5*(1/5n)=5*(-4)
Answer:
0=n
Step-by-step explanation:
1. 0=4+n/5
add 4 and n
2. 0=4n/5
×5. ×5
3. 0=4n
-- --
4 4
4. 0=n
Look at the picture for a more detailed steps
HELP IM IN CLASS DOING IT RIGHT NOW The absolute value of any number is always positive. True False
Answer:
True
Step-by-step explanation:
Answer:
[tex] \huge\purple{TRUE}[/tex]
Step-by-step explanation:
The absolute value of any number is always positive.
Find the smallest positive four-digit number that is divisible by each of the four smallest prime numbers.
Answer:
It might be 1,050. Also can't believe thats a college question-
It was very easy to solve! Help from an 8th grader here.
Step-by-step explanation:
The smallest four-digit number that is divisible by each of the four smallest prime numbers is 1050.
What is the divisibility rule?The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.
The four smallest prime numbers are 2, 3, 5, and 7.
To find the smallest four-digit number that is divisible by each of these numbers, we can start by finding the least common multiple (LCM) of these numbers. The LCM of a set of numbers is the smallest number that is divisible by all of the numbers in the set.
To find the LCM of 2, 3, 5, and 7, we can start by listing the prime factorization of each number:
2 = 2 x 1
3 = 3 x 1
5 = 5 x 1
7 = 7 x 1
Then, we can find the LCM by taking the highest power of each prime that appears in any of the numbers:
LCM(2, 3, 5, 7) = 2¹ x 3¹ x 5¹ x 7¹ = 210
Since we want the "smallest 4-digit number", then it is:
210 x 5 =1050
Therefore, each of the four lowest prime numbers may be divisible by the smallest four-digit number, which is 1050.
Learn more about the divisibility rule here:
brainly.com/question/10703980
#SPJ2
Darnelle has a $10,000, three-year loan with an APR of 5%. She uses the table on page 159 to compute information on the loan,
a. What is her monthly payment?
b. What is the total of all her monthly payments?
c. What is the total finance charge?
HELP
Her monthly payment would be $180.56, the total of all her monthly payments would be $13,000 and the total finance charge is $3000.
What is the expression of simple interest?The expression for the final amount for simple interest is
A = p(1+rt)
Given data
Principal = $10,000
Rate= 5 %= 0.05
Time = 6years (Assume)
A = p(1+rt)
A = 10,000(1+0.05×6)
A = 10,000(1+0.30)
A = 10,000(1.30)
A = 13,000
So the final amount for simple interest is $13,000
To determine her monthly payment
Given that it is spread over 6 years
There are 12×6 months= 72months
So monthly pay = 10000/72 = $180.56
The total of all her monthly payments would be $13,000 which is equal to the final amount.
The finance charge is equal to the interest.
⇒ $13,000 - $10,000 = $3000
So the finance charge would be $3000.
Therefore, her monthly payment would be $180.56, the total of all her monthly payments would be $13,000 and the total finance charge is $3000.
Learn more about the simple interest here:
brainly.com/question/22621039
#SPJ5
Nadine's curtain company is making curtains for a local hotel. She wants each curtain to be 48 inches long. At the fabric store, fabric is sold by the foot. If Nadine's curtain company wants to make 52 curtains, how many feet of fabric will she need? 1 inch = 1 12 foot
Find the cost of tiling a rectangular plot of land 300 m long and 150 m wide at the rate of $6 per square m.
Answer:
$270,000
Step-by-step explanation:
First, find the area of the plot using the formula A = lw
A = lw
A = (300)(150)
A = 45,000
Then, multiply this by 6 to find the total cost:
45,000(6)
= 270,000
So, the cost to tile the plot is $270,000
Answer:
2700
Step-by-step explanation:
Length= 300m
width= 150 m
Area = Lx W = 300 x 150= 4500 sq m
rate per 100 sq meter= 6
so total cost = 4500/ 100 x 6
= 2700
hope it helps!
Which of the
the
following fractions is the largest
11/16 , 3/5 , 7/10 , 13/18
Answer:
11/16, 3/5, 7/10
Step-by-step explanation:
Express 0.2 as a fraction.
Answer:
1/5
Step-by-step explanation:
0.2 = 2/10
2/10 = 1/5
Answer:
0.2 = 1/5
Step-by-step explanation:
0.2
=
0.2 × 10
=
2/10
=
2 ÷ 2
10 ÷ 2
=
1/5
he;ppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
y = 64
Step-by-step explanation:
The angles are supplementary, that is sum to 180° , thus
2(x + 6) + y = 180 ← substitute x = 52
2(52 + 6) + y = 180
2(58) + y = 180
116 + y = 180 ( subtract 116 from both sides )
y = 64
Find 83 1/3 % of 384
Answer:
319.872
Step-by-step explanation:
319.872 / 384 = 83 1/3 / 100
Final Answer: [tex]320[/tex]
Steps/Reasons/Explanation:
Question: Find [tex]83\frac{1}{3}[/tex]% of [tex]384[/tex].
Step 1: Convert mixed fraction into improper fraction.
[tex]\frac{250}{3}[/tex]
Step 2: Multiply [tex]\frac{250}{3 * 100}[/tex] with [tex]384[/tex].
[tex]\frac{96000}{300}[/tex]
Step 3: Simplify
[tex]320[/tex]
~I hope I helped you :)~
The rate of change in sales S is inversely proportional to time t(t > 1) measured in weeks. Find S as a function of t if sates after 2 and 4 weeks are 200 units and 350 units respectively.
A. S(t) = 50 [3 ln t/ln2 +1]
B. S(t) = 550 [3 ln t/ln3 +150]
C. S(t) = 50 [3 ln t/ln2 +11]
D. S(t) = 50 [11 ln t/ln2 +1]
E. S(t) = 550 [ln t/ln3 +1]
Answer:
A. S(t) = 50 [3 ln t/ln2 +1]
Step-by-step explanation:
We are told that the rate of change in sales S is inversely proportional to time.
Thus;
dS/dt = k/t
Where k is the constant of proportionality.
So,
dS = (k/t)dt
Integrating both sides gives us;
S = (kIn t) + C
We are given that after 2 and 4 weeks are 200 units and 350 units respectively.
Thus;
S(2);
(k In 2) + C = 200 - - - (eq 1)
(k In 4) + C = 350 - - - -(eq 2)
To find k, let's subtract eq 1 from eq 2 to get;
(k In 4) - (k In 2) = 350 - 200
(k In 4) - (k In 2) = 150
k(In 4 - In 2) = 150
0.6931k = 150
k = 150/0.6931
k = 216.42
Plugging this for k in eq 1 gives;
(216.42 In 2) + C = 200
C = 200 - 150
C = 50
Thus;
S(t) = (216.42In t) + 50
Now 216.42 can also be expressed as;
150/In 2
Thus;
S(t) = ((150/In 2)In t) + 50
Factorizing out gives;
S(t) = 50 [(3 ln t/ln2) + 1]
Option A is the correct answer
At a sale, dresses were sold for $22 each. This price was 55% of a dress's original price. How much did a dress originally cost? Answer: Submit Answer attempt 1 out o Privacy Policy Terms of Service acer
Answer:
$9.90
Step-by-step explanation:
Can someone help me with these 2 questions real quick?
Answer:
<M = 32 and <Y = 103
Step-by-step explanation:
1. Since triangle BCM is congruent to triangle ZYR, we know the corresponding parts of the triangles are congruent. Therefore, <Z = <B = 45. The sum of a triangle’s angles is 180, so <M = 180 - <B - <C = 180 - 45 - 103 = 32
2. This is the exact same diagram, so we can use the information we have collected in #1. Since corresponding parts of congruent triangles are congruent, <Y must be congruent to <C, which equals 103. Therefore, <Y = 103.
I hope this helps! :)