Answer: 24 grams of element would remain.
Step-by-step explanation:
Exponential function for decay:
[tex]f(x)=Ab^{\frac{x}{n}}[/tex] ....(i) , where A = initial value , b = decay factor, x = time , n= time per period
As per given,
A = 569 grams , [tex]b=\dfrac12[/tex]
n= 5 years, t = 23 years
Put all values in (i) , we get
[tex]f(23)=590(\dfrac12)^{\frac{23}{5}}\\\\\\=590\times 0.0412346222117\\\\=24.3284271049\approx 24[/tex]
Hence, after 23 years , 24 grams of element would remain.
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At 1 hour the ship traveled 25 miles.
At constant speed, this means every 1 hour the ship travels 25 miles.
The speed would be 25 miles per hour.
A manufacturing company uses two different machines, A and B, each of which produces a certain item part. The number of defective parts produced by each machine is about 1 percent. Suppose two independent random samples, each of size 100, are selected, where one is a sample of parts produced by machine A and the other is a sample of parts produced by machine B. Which of the following is true about the sampling distribution of the difference in the sample proportions of defective parts?
A The mean is 0 and the distribution is approximately normal
B The mean is 0 and the distribution will not be approximately normal
C The mean is 0.01 and the distribution is approximately normal
D The mean is 0.01 and the distribution will not be approximately normal.
Ε The mean is 1 and the distribution is approximately normal.
Answer:
B: The mean is 0 and the distribution will not be approximately normal
Step-by-step explanation:
It is true that the mean is 0 because it is the difference in the population proportions, 0.01−0.01. However, normality cannot be assumed because the sample sizes are not large enough.
The sample distribution is defined as the probability distribution of a given sample based on statistics.
The correct option is (a).
Given:
The defective parts produced by each machine is 1%.
The sample Size is 100.
Calculate the proportion of the defective parts.
[tex]\dfrac{1}{100}=0.01[/tex]
Thus, the mean of each machine is 0.01.
Now, the mean difference between both machine is 0 and proportion will be normally distributed.
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Which of the following equations is equivalent to 2log4x − log49 = 2
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
log _4 { x^2 / 9 } = 2
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
The value of [x] will be equivalent to x = 3.5.
What is logarithmic function? What is equation modelling? What is a mathematical equation and expression?In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number [x] to the base [b] is the exponent to which [b] must be raised, to produce [x]. We can write -[tex]y=log_{e} (x)[/tex]
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the logarithmic equation as
2log(4x) − log(49) = 2
2log(4x) = 2 + log(49)
2{log(4) + log(x)} = 2 + log(49)
{log(4) + log(x)} = {2 + log(49)}/2
log(4) + log(x) = 1 + log(49)/2
log(4) + log(x) = 1.85
log(x) = 1.85 - log(4)
log(x) = 1.25
x = e^(1.25)
x = 3.5 {approx.}
Therefore, the value of [x] will be equivalent to x = 3.5.
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Eight times a number plus five times another is -13. The sum of the two number is 1. What are the numbers ?
A:-5,6
B:-6,7
C:-7,8
D:,-8,9
Answer: B
Step-by-step explanation:
8 x (-6) + 5 x 7 = (-13)
-6+ 7 = 1 hope this helps.
I GIVEEEE BRAINLILSTT
Answer:
ok can i have the brain lets know or when do i get them?
Step-by-step explanation:
1 2 3 45 67 7 8 8 90 0 - 93574756907490 +++++++ .//../2823rg778gq 10900
1000000000000000 :) great JOB u MAD IT
Answer:
jyjyjyjyjt7yu7iuyhjd vubykjil,;9']0p= y
Step-by-step explanation:
tyjuoho;89u76frc ghjmo;'l978
Engineering The equation for the cross section of a spotlight is y+5= 1/2x^2.
measured in inches. The bulb is located at the focus. How far is the bulb from the
Vertex of the cross section?
Answer:
[tex]p=1/2\ or\ 0.5\ inches[/tex]
Step-by-step explanation:
From the question we are told that
Equation of cross section is [tex]y+5= \frac{1}{2x^2}[/tex]
Generally the equation can be rewritten mathematically as
[tex]y+5= \frac{1}{2}x^2[/tex]
[tex]x^2=(y+5)2[/tex]
[tex](x-0)^2=(y-(-5))2[/tex]
Generally the equation of a parabola with vertical axis is mathematically given by
[tex](x - h)2 = 4p(y - k)[/tex]
Therefore comparing equations
[tex](x-0)^2=(y-(-5))2[/tex]
[tex]4p=2[/tex]
[tex]p=2/4[/tex]
The distance from the bulb to the vertex of the cross section is given by
[tex]p=1/2\ or\ 0.5\ inches[/tex]
Alene wants to buy a pencil pouch the cost 16.00. She must also pay 5% sales tax. If she pays with a $20 bill,how much change will she receive back
Answer:
$3.20
Step-by-step explanation:
The price of the Pencil is $16
Tax payable on the pencil is 5%*16 = $0.8
Total amount payable is = $16 + $0.8 = $16.8.
So, If she pays with a $20 bill, then the change she will receive is $3.20 ($20 - $16.8)
One adult and 3 student tickets cost $11.50. Three adult and 2 student tickets cost $17.00.
a. Write a system of equations to represent this scenario.
b. Solve. Must show work. (Make sure to type the $ before the value.)
Adult tickets:
Student tickets:
a. System of equations:
b. Adult tickets:
Student tickets:
Answer:
Adult-. $4
Student-. $2.50
Step-by-step explanation:
equation
1a + 3s = $11.50
3a + 2s = $17.00
$4+$2.50(3)=$11.50
$12+$2.50(2)=$17.00
or
1($4)+3($2.50)=$11.50
3($4)+2($2.50)=$17.00
sorry if this is a little confusing, this is a simpler equation-
$4.00+($2.50x3)=$11.50
($4.00x3)+($2.50x2)=$17.00
Please answer this correctly without making mistakes
Answer:
What is meant by galons and quarts?
Step-by-step explanation:
Say me the meaning and I will answer it.
Answer:
Step-by-step explanation:
I think 93 gallons 75 quarts. Not sure because I haven't read this.
Given: B bisects EA, FE is parallel to CA, DC is parallel
to GF
Prove: Triangle BGF Triangle BDC
Which method?
E
SSS
SAS
AAS
С
OHL
וד
B
ASA
A
INTL 9:53
Answer:
Choice 3: AAS
Step-by-step explanation:
We can prove that by AAS that means we need two congruent angles and one congruent side.
The first angle will be the vertical pair <FBG and <DBC.
The second angle will be the alternate interior pair <G and <D.
The one side will be [tex]\overline{GB}[/tex] and [tex]\overline{BD}[/tex].
A sandwich shop owner wants to survey customers about new menu options. To get the sample, the owner surveys the 4th customer of the day (with 4 being a randomly chosen value), then surveys every 10th customer after that. Which sampling method was used?
cluster sampling
simple random sampling
stratified random sampling
systematic random sampling
Answer:
Systematic random sampling
Step-by-step explanation:
This will be systematic random sampling. As in systematic random sampling, selection of elements from an ordered sampling frame takes place.
Answer:
B. Systematic random sampling
Step-by-step explanation:
Got it right. Edgen 2022
Can some one help me I will give the brainliest
Convert each percentage into a decimal and match them with the appropriate result.
32%
50%
DRAG & DROP THE ANSWER
34%
0.50
0.32
20%
2.0
0.34
3.2
0.20
Answer:
32% = 0.32
50% = 0.50
34% = 0.34
Step-by-step explanation:
0.32 = 32%
0.50 = 50%
0.34 = 34%
P.S Can I have brainliest?
Peter has 25 chickens. His uncle has 60 times as many. How many chickens does his uncle have? *
Answer:
I think you have to do 25 x 60?
Try it.
The larger of two numbers is 17 more than twice the smaller. When the larger number is divided by the smaller, the quotient is 3 and the remainder is 6. Find the two numbers
Answer:
The numbers described here are 39 and 11.
Step-by-step explanation:
Let's call the numbers a and b, a being the larger. We're told two things:
The larger of the two numbers is 17 more than twice the smaller.
Which we can express as:
a = 2b + 17
When the larger number is divided by the smaller, the quotient is 3 and the remainder is 6
And that can be expressed as:
a = 3b + 6
We can now take those two expressions and, noting that they both define a, we can say that they are equivalent, and solve for b:
2b + 17 = 3b + 6
3b - 2b = 17 - 6
b = 11
With b found, we can now take either of the first expressions, and solve for a:
a = 2b + 17
a = 2(11) + 17
a = 22 + 17
a = 39
Now we can check whether that is correct by plugging it into the other expression and seeing if b still comes to 11:
a = 3b + 6
39 = 3b + 6
3b = 33
b = 11
So we know that the answer is correct.
The volume of water in a tank is 0.7 cubic meter. Write this volume in cubic centimeter
Answer:
11.47 in cubic centimeters
Step-by-step explanation:
Simplify the expression
Answer:
5 3^/2x^3
Step-by-step explanation:
Find a. brainliest!!
Answer:
what are you trying to find.How many degrees to z or y
Step-by-step explanation:
Translate (in terms of x) then solve the algebraic equation: Four more than 3 times a number is 28.
Answer:
x = 8
Step-by-step explanation:
8 * 3 + 4 = 28
What is the total angle of This?
Pls help
Answer:
180
Step-by-step explanation:
What is the mathematical situation
Answer:
There is no situation given...
A baseball bat cost $28. There is a 25% discount. How much will you pay after the discount?
Answer:
$21
Step-by-step explanation:
1/4 of 28=7
so 28-7=$21
Answer:
7 dollars
Step-by-step explanation
Organizers of the town fair make a total of $706 from selling 164 hot dogs and 74 hamburgers at one of their concession stands. At their other concession stand, they make $884 by selling 256 hot dogs and 61 hamburgers. If the prices are the same at both concession stands, what is the price of a hot dog?
a. $0.04
b. $2.50
c. $3.75
d. $4.00
Answer is $2.50
How to solve system of two equations:
First of all, we should get one variable in terms of other variable in one equation and substitute this variable in another equation. And solving that we get two variables value.
If you have two different equations with the same two unknowns in each, you can solve for both unknowns. There are three common methods for solving: addition/subtraction, substitution, and graphing.
Here,
let's consider price of hot dogs = x and price of hamburgers = y
then, 164x + 74y = $706 --- ( 1 )
and 256x + 61y = $884 --- ( 2 )
Now, from eq - 1 we get x = ($706 - 74y) / 164
Substitute this x value in eq - 2,
256($706 - 74y)/164 + 61y = $884
=> $706*256 - 74y*256 + 61y*164 = $884 * 164
=> 180,736-8940y = 144,976
=> 180,736 - 144,976 = 8940y
=> 35,760/8940 = y
=> y = $4.
By substituting in eq - (1) we get x = $2.5
So, The price of hot dog = $2.5
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Answer:
$2.50
Step-by-step explanation:
What is the area of the triangle?
Answer:
[tex]10\:\mathrm{units^2}[/tex]
Step-by-step explanation:
The area of a triangle can be given as [tex]\frac{1}{2}\cdot b \cdot h[/tex]. Notice that a base of the triangle is given as 4 units, and the height is marked as 5 units. We know that the segment marked as 5 units is the height of the triangle because it forms a [tex]90^{\circ}[/tex] with the segment marked as 4 units and meets a vertex of the triangle.
Therefore, the area of the triangle is:
[tex]\frac{1}{2}\cdot 4 \cdot 5 = \fbox{$10$}[/tex].
Solve the system by substitution.
y = -7x + 6
5x + y = 2
Answer:
Step-by-step explanation:
5x+(-7x+6) = 2
-2x = 2-6
x = 4/2
x=2
y =-14+6 = -8
Express (x + 3)2 as a trinomial in standard form.
Answer:x^2+6x+9
Step-by-step explanation:
Is this a function ?
Answer:
it is a function
Step-by-step explanation:
the input is not repeated
_+89=(6+5) what is the answer
Answer:
-78
Step-by-step explanation:
_+89 = 11 (6+5 is 11), now, lets say the blank is x
x + 89 = 11 (subtract 89)
x = -78
4.A board is 7 3/4 feet in length. How many full sizes pieces of board 1 1/3 feet in length can a carpenter cut from that board of wood
Answer:
5 full pieces
Step-by-step explanation:
Given
[tex]Board\ Length = 7\frac{3}{4}ft[/tex]
[tex]Pieces = 1\frac{1}{3}ft[/tex]
Required
Determine the number of pieces that can be cut from the board
This is calculated by dividing the board length by the length of each piece.
[tex]Number = \frac{Board\ Length}{Pieces}[/tex]
[tex]Number = 7\frac{3}{4} / 1\frac{1}{3}[/tex]
Convert to improper fractions
[tex]Number = \frac{31}{4} / \frac{4}{3}[/tex]
Change / to *
[tex]Number = \frac{31}{4} * \frac{3}{4}[/tex]
[tex]Number = \frac{31*3}{4*4}[/tex]
[tex]Number = \frac{93}{16}[/tex]
[tex]Number = 5.8125[/tex]
Round down to discard the decimal parts
[tex]Number = 5[/tex]
Hence, the carpenter can cut full-sized 5 pieces
The school library has 12,348 books. Two-thirds of the books are paperbacks. How many books are paperbacks?
Answer:
about 8,223 or 8,224 rounding up
Step-by-step explanation:
