Answer:
The minimum number of samples required is [tex]n = 16641 [/tex]
Step-by-step explanation:
From the question we are told that
The variance is [tex]\sigma^2 = 0.25[/tex]
The margin of error is [tex]E = 0.01[/tex]
From the question we are told the confidence coefficient is 0.99 , hence the level of significance is
[tex]\alpha = (1 - 0.99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]
Generally the standard deviation is
[tex]\sigma =\sqrt{\sigma^2}[/tex]
=> [tex]\sigma =\sqrt{0.25}[/tex]
=> [tex]\sigma =0.5[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2[/tex]
=> [tex]n = [\frac{2.58 } * 0.5 }{0.01 } ] ^2[/tex]
=> [tex]n = 16641 [/tex]
PLS HELP I’ve been trying to do this but I just can’t do it
Answer:
the answer is 8:1 so 8/1
Step-by-step explanation:
Answer:
26/3
Step-by-step explanation:
6 cups flour
3/4 cup of sugar
ratio of flour to sugar is
(6 flower : 3/4 sugar) multiply both sides by 4
26 flower : 3 sugar
so the ratio is 26/3
How many years will it take an initial investment of $25,000 to triple to $75,000 at an annual rate of 7% compounded continuously
Answer:
[tex]t = 15.7[/tex]
Step-by-step explanation:
Given
[tex]Principal = 25000[/tex] --- P
[tex]Amount = 75000[/tex] --- A
[tex]Rate = 7\%[/tex] --- R
Required
Determine the time (t)
Using continuous growth formula:
We have
[tex]A = Pe^{rt}[/tex]
Convert rate to decimal
[tex]Rate = 7\%[/tex]
[tex]r = 0.07[/tex]
Substitute values for A, P and r
[tex]75000 = 25000 * e^{0.07t}[/tex]
Divide both sides by 25000
[tex]3 = e^{0.07t}[/tex]
Rewrite the exponential function as logarithmic, we have:
[tex]ln3 = 0.07t[/tex]
Reorder
[tex]0.07t = ln3[/tex]
Divide both sides by 0.07
[tex]t = \frac{ln3}{0.07}[/tex]
[tex]t = \frac{1.09861228867}{0.07}[/tex]
[tex]t = 15.69[/tex]
[tex]t = 15.7[/tex]
Hence, the time is approximately 15.7 years
Which is the correct answer?
A. The equation has one valid solution and no extraneous solutions.
B. The equation has one valid solution and one extraneous solution.
C. The equation has two valid solutions and no extraneous solutions.
D. The equation has no valid solutions and two extraneous solutions.
Answer:
I think that it is B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Find the length of GH
Answer:
y=√(x1-x2)^2+(y1-y2)^2
y=√(-3-(-11))^2+(15-0)^2
y=√8^2+15^2
y=√64+225
y=√289
y=17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
x₁ = -3 and x₂ = -11
y₁ = 15 and y₂ = 0
√(-3 - -11)² + (15 - 0)²
√( 8² ) + ( 15² )
17
guys i need help asap someone good with geomtry???
Answer:
[tex]CF<BC<BF[/tex]
Step-by-step explanation:
[tex]As\ we\ know\ that,\\The\ longest\ side\ in\ a\ triangle\ is\ the\ side\ opposite\ to\ the\ largest\ angle.\\Here\ in\ \triangle BCF,\\\angle B=52\\\angle C=65\\\angle F=63 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence,\\As\ we\ can\ observe\ that\ \angle C\ is\ the\ largest\ followed\ be\ \angle\ F\ and\ \angle B. \\BF\ is\ the\ longest side\ followed\ by\ BC\ and\ CF.\\Hence, \\BF>BC>CF\\Or,\\CF<BC<BF[/tex]
Question
A sphere has a radius of 3.6 centimeters. Find its a. volume and b. surface area. Use 3.14 for at. Round the answers to the
nearest hundredth.
Answer:
195.45 in
Step-by-step explanation:
Step one:
given
sphere has a radius of 3.6 centimeters.
Required:
the volume of a sphere
The formula for the volume is
V=4/3πr^3
Step two:
subsituting we have
V=4/3*3.142*3.6^3
v=4/3*3.124*46.65
v= 586.37/3
v=195.457 in
to the nearest hundreth 195.45 in
A jar contains only one blue tile, one green tile, one red tile, and one yellow tile. If a tile is chosen at random and then replaced in the jar, and then a second tile is chosen at random, how many of the possible outcomes contain at least one red tile? 1 2 4 7
Answer:
7
Step-by-step explanation:
Bluegreen
Bluered
Blueyellow
Greenblue
Greenred
Greenyellow
Redblue
Redgreen
Redyellow
Yellowblue
Yellowgreen
Yellowred
Answer: 7
Step-by-step explanation:
Took on computer
Look at this triangle.
B
13 cm
A
8 cm
Work out length BC.
Using the Pythagorean theorem:
BC = sqrt(13^2 - 8^2)
BC - sqrt(169 - 64)
BC = sqrt(105)
The exact dimension is sqrt105
If it needs be be in decimal format, sqrt(105) = 10.24695
Sra. Niccoli used 3/4 cups of sugar, 1/2cup of flour and 2 1/4
cup of chocolate chips to make a batch of cookies. How
many cups of ingredients did she use for her cookies?
What is this division or multiplication and what fractions?
Answer:
3/4+1/4=4/4=1
1+ 1/2=1 1/2 cups
Step-by-step explanation:
Two numbers each have one decimal place. Is it possible for their product to be a whole number? Explain.
Answer: No.
Step-by-step explanation: Unless the tenth place is a 0, a product of a 2 numbers with 1 decimal place cannot have a product for a whole number, even if you went on forever.
When two decimal places add up to one whole, the total of the two decimal places is a whole number. The addition of relocating the decimal point after the multiplication when multiplying decimals is the only difference between multiplying whole numbers and multiplying decimals.
What does the decimal number system mean?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point. 12.5 is a decimal number, for instance.In mathematics, the decimal system—also known as the Hindu-Arabic number system or the Arabic number system—is a positional numeral system that uses 10 as its base and calls for the use of 10 different numbers, including 0, 1, 2, 3, 4, 5, 6, 7, and 8. To indicate decimal fractions, a dot (decimal point) is also necessary.To learn more about decimal refer to:
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what is 1 and 8/10 minus two and 2/5?
You get 29 points for answering!
Please answer question correctly and with explanations!
HELP! will give brainliest ONLY if correct. 50 POINTS!!
Identify the type of function graphed to the right.
O linear
O exponential
O other
For an increase of 1 in the x-value, what is the increase in the y-value?
Answer:
A
Step-by-step explanation:
The first part is Linear and 2. The second part is exponential and 3.
Step-by-step explanation:The first graph is linear and they are asking for "2" in the bottom answer box because it grows by 2 every time.
The second graph is exponential growth and they are asking for "3" in the bottom box.
Have a terrific day, Hope this helps!!
I WILL GIVE BRAINLIEST I NEED HELP
Answer:
c
Step-by-step explanation:
Piper invested $4.700 in an account paying an interest rate of 4.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 19 years?
Answer:
The answer to the nearest CENT is A= 11699.69
The amount of money would be $11.4 in the account after 19 years.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A = P(1+r/100)ⁿ
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
Given that Piper invested $4.700 in an account paying an interest rate of 4.8% compounded continuously.
p = $4.700
r =4.8%
t = 19 years
A = P(1+r/100)ⁿ
Substitute the values of p,r, and t in the formula,
A = 4.700 (1 + 4.8/100)¹⁹
A = 4.700 (1 + 0.048)¹⁹
A = 4.700 (1.048)¹⁹
A = 11.454133
Rounded to the nearest cent
A = 11.4
Therefore, the amount of money would be $11.4 in the account after 19 years.
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I also need help with this cuase honestly i'm really bad at math
Answer:
A
Step-by-step explanation:
Angles that form a straight line ( add up to 180 ) are supplementary
angles 1 and 2 / 3 and 4 / 5 and 6 /angles 7 and 8 are all supplementary
Angles 1 and 7 are congruent angles
so angle 2 = 125
Subtract 125 from 180 = 55
180 - 125 = 55 degrees
help please and hurry!
If Alejandro walks 3 miles in 43 minutes, then how far will Austin walk in 93 minutes?
Answer:
Step-by-step explanation:
43min=3miles
93min=3*93=279/43
austin will walk 6.488miles for 93 minutes
the length of a rectangle is (2x+4) and the width is (3x-2) with a perimeter of 104. Write and solve an equation for the length and width of the rectangle. Then explain your answer.
During migration, a gray whale swam 5,040 miles, The whale swam a total of 672 miles during its first 7 days of migration. If the wliale swam at the same rate during the entire migration, how many miles did it swim during the first 30 days of migration?
Answer: 1,176
Step-by-step explanation:
The schoolyard has an area of 3864 ft.² The section that is in the shape of a triangle is used for picnic tables what is the area of the section for picnic tables
Step-by-step explanation:
Squares have equal lengths on all sides, so we already know that 46 ft applies to the entire square.
46 x 46 = 2116
We then subtract this from 3846, so
3846 square feet - 2116 square feet = 1730
A clothing store buys jeans for $12 and marks them up 200% before selling them to customers. What is the selling price of the jeans? Group of answer choices
Answer:
The selling price = $36
Step-by-step explanation:
The Buying price or Cost (C) = $12Markup = 200%So
Percent Markup on Cost (M) = 200% of 12
= 200/100 × 12
= 2 × 12
= $24
Thus the selling price = Cost (C) + Markup (M)
= $12 + $24
= $36
Therefore, we conclude that:
The selling price = $36
help me with my homrwork
Answer:
divide 19400000 and 51000
answer will be 380.39
What does k represent in the equation y=kx
A- constant of proportionality
B- dependent variable
C- Krispy Kreme X
D- independent variable
Answer:
D= Independent variable
Step-by-step explanation:
15.
Find m of angle B
what point will correspond to the rightmost point on the reflected figure?
Answer:
Point C because your reflecting and thats the midpoint and can i have brainiest
Step-by-step explanation:
PLEASE HELP MSRKING PEOPLE AS BRAINLIDT
Answer:
The answer is C.
Step-by-step explanation:
Hope this helps!
2 What is the GCF of y2(y + 1) and y(y + 2)?
Answer:
the answer is Y
Step-by-step explanation:
The greatest common factor (GCF) of two polynomial expressions is y.
The greatest common factor (GCF) of two polynomial expressions is the polynomial with the largest set of factors that is a factor of both polynomials.
To find the GCF of y2(y + 1) and y(y + 2), we can factor each polynomial:
y2(y + 1) = y(y)(y + 1)
y(y + 2) = y(y + 2)
The only factor that both polynomials have in common is y, so the GCF is y.
Here is the solution in more detail:
Factor each polynomial.
y2(y + 1) = y(y)(y + 1)
y(y + 2) = y(y + 2)
Find the factors that are common to both polynomials.
The only factor that both polynomials have in common is y.
The GCF is the polynomial with the largest set of factors that is a factor of both polynomials.
The GCF is y.
Therefore, the GCF of y2(y + 1) and y(y + 2) is y.
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1,000 divided by 3.85 with only remainders
Answer:
Its 259.740
Step-by-step explanation:
I used a calculator? Sorry if I dont have the "Remainders"
Anyone know the answer ?
Answer:
The area of the rectangle will be:
[tex]A=18x^6+48x^5+6x^4[/tex]
Step-by-step explanation:
Given
height or length = l = 6x³width = w = 3x³+8x²+xWe know that Area of the rectangle
A=wl
= (3x³+8x²+x) × (6x³)
[tex]=\left(6x^3\right)\times \:3x^3+\left(6x^3\right)\times \:8x^2+\left(6x^3\right)x[/tex]
[tex]=3x^3\left(6x^3\right)+8x^2\left(6x^3\right)+x\left(6x^3\right)[/tex]
[tex]=18x^6+48x^5+6x^4[/tex]
Thus, the area of the rectangle will be:
[tex]A=18x^6+48x^5+6x^4[/tex]
When isabel began her book selling business, she stored her inventory in her garage. Now that her business has grown, she wants to rent a warehouse.
The are of the warehouse is 8100 square feet. Her only requirement is it must be squared. write a function that expresses f(x)
Answer:
x is the sidelength of the square;
f(x) = x^(2)
8100 = x^(2)
90 = x