Answer:
The sample size needed is of 10,484.
Step-by-step explanation:
We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a p-value of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The weekly earnings of students in one age group are normally distributed with a standard deviation of 88 dollars.
This means that [tex]\sigma = 88[/tex]
Find the sample size needed to assure with 98 percent confidence that the sample mean will not differ from the population mean by more than 2 dollars.
This is n for which M = 2. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2 = 2.327\frac{88}{\sqrt{n}}[/tex]
[tex]2\sqrt{n} = 2.327*88[/tex]
[tex]\sqrt{n} = \frac{2.327*88}{2}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327*88}{2})^2[/tex]
[tex]n = 10483.3[/tex]
Rounding up:
The sample size needed is of 10,484.
A train is exactly 24km from Smalltown at 7:00p.m. It travels toward Smalltown at a constant rate of 90km per hour. At what time does the train reach Smalltown?
Answer:
7:16 P.M.
Step-by-step explanation:
24/90=4/15. There are 60 minutes in an hour, so we have 240/15=16.
Find the length of the segment indicated. Round your answer to the nearest 10th of necessary.
Answer:
Step-by-step explanation:
Just using pythagorean theorem,
13.2²+16.9²=c²
174.24+285.61=c²
c²=√459.85
c= 21.4441134114
c = 21.4 (nearest tenth)
I need help
Center?
Radius?
Answers:
Center = (1, 5)
Radius = 3
===========================================================
Work Shown:
[tex]x^2+y^2-2x-10y+17 = 0\\\\(x^2-2x)+(y^2-10y)+17 = 0\\\\(x^2-2x+0)+(y^2-10y+0)+17 = 0\\\\(x^2-2x+1-1)+(y^2-10y+25-25)+17 = 0\\\\(x^2-2x+1)+(y^2-10y+25)+(-1-25+17) = 0\\\\(x-1)^2+(y-5)^2-9 = 0\\\\(x-1)^2+(y-5)^2 = 9\\\\(x-1)^2+(y-5)^2 = 3^2[/tex]
----------------------
Explanation:
The idea is to complete the square for the x and y terms separately.
Notice the jump from step 3 to step 4 has the first 0 turn into 1-1, and the second 0 turn into 25-25. This is to help complete the square for each part.
The x^2-2x+1 factors to (x-1)^2 and y^2-10y+25 factors to (y-5)^2
Once we reach the last step, we have something in the form [tex](x-h)^2+(y-k)^2 = r^2[/tex]
Center = (h,k) = (1,5)
Radius = r = 3
(√0,04-√(-1,2)²+√121)×√81
Answer: 90
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} (\sqrt{0,04}-\sqrt{(-1,2)^2}+\sqrt{121 } ) \cdot \sqrt{81} = \\\\\\(0,2-1,2+11)\cdot 9=(11-1)\cdot 9=90[/tex]
Find dy /dx of x² - 2x + 5 - 6x
Answer:
Step-by-step explanation:
If [tex]y=x^2-2x+5-6x[/tex] then
[tex]y=x^2-8x+5[/tex] by combining like terms. (I'm thinking you might have mistyped the problem because this representation is weird).
[tex]\frac{dy}{dx}=2x-8[/tex]
If a and b are parallel and c and d are parallel, which pair of angles are congruent?
A. 1 and 16
B. 5 and 8
C. 9 and 11
D. 12 and 13
.Prove a+ar+ar2+………+arn-1=a(rn -1 ) r-1
Answer:
See below.
Step-by-step explanation:
Call the sum of the first n terms S.
S = a + ar + ar^2 + ar^3 + ... + ar^(n -1)
Multiply both sides by r.
Sr = ar + ar^2 + ar^3 + ar^4 + ... + ar^n
No subtract S - Sr.
S = a + ar + ar^2 + ar^3 + ar^4 + ... + ar^(n -1)
(-) Sr = ar + ar^2 + ar^3 + ar^4 + ... + ar^(n - 1) + ar^n
-------------------------------------------------------------------
S - Sr = a - ar^n
S(1 - r) = a(1 - r^n)
S = a(1 - r^n)/(1 - r)
S = a(r^n - 1)/(r - 1)
a + ar + ar^2 + ar^3 + ... + ar^(n -1) = a(r^n - 1)/(r - 1)
i need serious helpplease its confusing....
area: 40p² + 24p
wide: 8p
(40p² + 24p)/ 8p
5p + 3
so, length: 5p + 3 -> (a)
perimeter = wide x 2 + length x 2
16p + (10p + 6)
26p + 6 -> (b)
Will give BRAINLIEST to the correct answer.
Angelica Reardon received a 4-year non-subsidized student loan of $18,000 at an annual interest rate of 6.8%. What are Angelicas monthly loan payments for this loan after she graduates in 4 years? (Round your answer to the nearest cent.)
Answer:
In 2021 she would have the loan of $18,000 and in 2022 she would have $13,947 and 2023 she would have $9,609 and in 2024 she would have $4,968 and in 2025 she would have $0.
The total lifetime costs of your student loans would be $20,609 paid over 4 years.- I HOPE THIS HELPS! :)
Step-by-step explanation:
- Is a student loan calculator (2021)
-This is a very GOOD site!!!!! :)
The Angelica's monthly loan payments for this loan after she graduates in 4 year is $408.
What is simple interest?Simple interest is a quick and easy method of calculating the interest charge on a loan.
What is the formula for calculating the simple interest?The formula for calculating the simple interest is
[tex]Simple\ interest = \frac{P\times R\times T}{100}[/tex]
Where,
P is the principal amount
R is the interest rate
And, T is the time in years
According to the given question.
Principal amount, P = $18,000
Interest rate, R = 6.8%
Time, T = 4 years
Therefore,
The monthly loan payments, we calculate the simple interest for monthly
= [tex]\frac{18000 \times 6.8\times 4}{100 \times 12}[/tex] = $408
Hence, the Angelica's monthly loan payments for this loan after she graduates in 4 year is $408.
Find out more information about simple interest here:
https://brainly.com/question/22621039
#SPJ2
help me please its confusing
Answer:
9c^7d^13
Step-by-step explanation:
The square of y varies directly as the cube of x.When x=4 y=2.Which equation can be used to find other combinations of x and y
Answer:
y² = (1/16)x³
Step-by-step explanation:
Given that :
y² varies directly as the cube of x
y² α x³
y² = kx³ - - - (1)
Where, k = constant of f proportionality
We can obtain the value of k ; when x= 4 and y = 2
2² = k4³
4 = 64k
k = 4/64
k = 1/16
Putting k = 1/16 in (1)
y² = (1/16)x³
Write the expression 4^4(4^-7)(4) using a single
exponent.
4^-28
4^-4
4^-3
4^-2
Answer:
4^(-2)
Step-by-step explanation:
4^4(4^-7)(4)
We know that a^b * a^c = a^(b+c)
4^4(4^-7)(4^1)
4^(4+-7+1)
4^(-2)
What is the average of −18.75 and 200.25?
90.75
100.125
109.5
181.5
what is the total cost
Answer:
u watch Naruto
Step-by-step explanation:
.....................,....,...
A viewfinder has a triangular lens. Some of the measurements of the lens are
shown below. Which of the following best represents the length of a?
B
26°
a
С
389
10
A
Triangle not drawn to scale
=========================================================
Explanation:
It's a bit strange why your teacher has the "26 degree" label pointing at a side length, rather than an actual angle. I'm assuming your teacher meant to aim it at angle C. In other words, I'm assuming they meant to say angle C = 26 degrees.
If that assumption is correct, then,
A+B+C = 180
38+B+26 = 180
B+64 = 180
B = 180-64
B = 116
Then we can use the law of sines like so:
a/sin(A) = b/sin(B)
a/sin(38) = 10/sin(116)
a = sin(38)*10/sin(116)
a = 6.84986152123146
a = 6.8
Side 'a' is approximately 6.8 inches long. So that's why the answer is choice A.
If 4 cans of cat food costs $17.20, how many cans of cat food can be purchased
with $38.70
Answer:
9
Step-by-step explanation:
let the price of one can food be x,
4x=17.20
x=4.3
number of can foods that can be purchased = 38.70/x = 38.7/4.3 = 9
4CANS=$17.20
$38.70
cross multiply
4 multiply by 38.70 =154.8 divide by 17.20
ANSWER = 9
Pls help no 6 i am giving a lot of points
Answer:
Use pythagoras theorem
Anyone Know The Answer???
Answer:
I think it is 2, downwards
Answer:
vertical shift of 2 units up
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
f(x) = 9 | x + 1 | + 2
Represents a vertical shift of 2 units up of the parent function
In a circle with center P and radius 10cm. If one of the chord is of length 12 cm.
Then find the distance of the chord from the center.
Look at the attachment
The line bisects the cord which we have to find
Length of chord=12cmHalf of the cord=12/2=6cmRadius=10cmIts a right angle triangle
using Pythagorean theorem[tex]\boxed{\sf P^2=H^2-B^2}[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{H^2-B^2}[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{10^2-6^2}[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{100-36}[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{64}[/tex]
[tex]\\ \Large\sf\longmapsto P=8cm[/tex]
Distance of the chord from centre is 8cm.
What is the sign of 3ay when 2 > 0 and y < 0?
Choose 1 answer
Positive
Negative
Zero
**25 POINTS**
Which of the following lists of ordered pairs is a function?
Answer: A
Step-by-step explanation: A function is when every domain (x value) corresponds to one range (y value) so that it passes the vertical line test
the product of 2x and 3 is 138. find the number x
Answer:
x = 23
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3(2x) = 138
Step 2: Solve for x
Simplify: 6x = 138[Division Property of Equality] Divide 6 on both sides: x = 23Please help!!! Much appreciated!!
Answer:
C
Step-by-step explanation:
As n → ∞
[tex]\frac{85}{n}[/tex] , [tex]\frac{75}{2n}[/tex] , [tex]\frac{15}{2n^2}[/tex] → 0
Then
15 - 35 - 0 + 55 + 0 + 0
= - 20 + 55
= 35 → C
The equation y=2(x-1)^2-5y=2(x−1)
2
−5y, equals, 2, left parenthesis, x, minus, 1, right parenthesis, squared, minus, 5 is graphed in the xyxyx, y-plane. Which of the following statements about the graph is true?
Answer:
(b) It is symmetrical about [tex]x = 1[/tex]
Step-by-step explanation:
Given
[tex]y = 2(x - 1)^2 - 5[/tex]
See attachment for options
Required
True statement about the graph
First, we check the line of symmetric
[tex]y = 2(x - 1)^2 - 5[/tex]
Expand
[tex]y = 2(x^2 - 2x + 1) - 5[/tex]
Open bracket
[tex]y = 2x^2 - 4x + 2 - 5[/tex]
[tex]y = 2x^2 - 4x -3[/tex]
A quadratic equation [tex]y = ax^2 + bx + c[/tex] has the following line of symmetry
[tex]x = -\frac{b}{2a}[/tex]
By comparison, the equation becomes:
[tex]x = -\frac{-4}{2*2}[/tex]
[tex]x = \frac{4}{4}[/tex]
[tex]x = 1[/tex]
Hence, the line of symmetry is at: [tex]x = 1[/tex]
(b) is true.
Answer: It is symmetrical about x=1
Step-by-step explanation:
Triangle Q R S is shown. Line R Q extends through point P. Angle Q S R is 35 degrees. Angle S R Q is 58 degrees. Exterior angle S Q P is x degrees. What is the value of x?
The triangle is missing and so i have attached it.
Answer:
x = 93°
Step-by-step explanation:
From the triangle attached, we can say that;
<SQP + <SQR = 180°
This is because sum of angles on a straight line equals 180°.
Secondly, we know that sum of angles in a triangle also equals 180°.
Thus;
<SQR + <QSR + <SRQ = 180
From the attached triangle, we see that;
<QSR = 35°
<SRQ = 58°
Thus;
<SQR + 35° + 58° = 180°
<SQR + 93° = 180°
<SQR = 180° - 93°
<SQR = 87°
From earlier on, we saw that;
<SQP + <SQR = 180°
Plugging in <SQR = 87°, we have;
<SQP + 87° = 180°
<SQP = 180° - 87°
<SQP = 93°
We are told in the question that <SQP is denoted by x.
Thus;
x = 93°
Answer:
The value of x is answer D: 93
calculate the amount of rupees 31250 at the end of 2½ years, compounded annually at 8% per annum.
Reciprocal of 2 (1/7) is _
Answer:
[tex]\frac{7}{15}[/tex]
Step-by-step explanation:
To find the reciprocal of a fraction, simply switch the numerator and denominator.
Since [tex]2\frac{1}{7}[/tex] is a mixed number, start by converting it to a common fraction using [tex]a\frac{b}{c}\implies \frac{a \cdot c+ b}{c}[/tex]
Therefore, [tex]2\frac{1}{7}[/tex] as a common fraction is:
[tex]\frac{2\cdot 7+1}{7}=\frac{14+1}{7}=\frac{15}{7}[/tex]
Now switch the numerator and denominator to find the reciprocal:
[tex]\rightarrow \boxed{\frac{7}{15}}[/tex]
Answer:
7/15
Step-by-step explanation:
2 1/7 is 2*7+1/7 = 15/7. The reciprocal of this would happen if you flip it upside down. Thus, the reciprocal is 7/15.
chứng minh đường thẳng a là tiếp tuyến của ( O,R) tại điểm C
ever since Anthony started going to the gym 4 days per week he has been taking protein he wants to take every day to help build muscle. How many grams of protein does Anthony take for the entire day (100%)
Answer:
how much protein did he take per day tho?
The altitude a (in feet) of a plane t minutes after liftoff is given by a = 3400t + 600. How many minutes after liftoff is the plane at an altitude of 21,000 feet
Answer:
6
Step-by-step explanation:
Altitude = 3400t +600
21,000 = 3400t +600
21000-600= 3400t
20400/3400 = 3400t/3400
t= 6
Answered by Gauthmath
