Let's check the significant figures one by one
[tex]\\ \sf\longmapsto 1,230=3[/tex]
[tex]\\ \sf\longmapsto 155.6=4[/tex]
[tex]\\ \sf\longmapsto 200=1[/tex]
[tex]\\ \sf\longmapsto 1245=4[/tex]
[tex]\\ \sf\longmapsto 8.88=3[/tex]
[tex]\\ \sf\longmapsto 22=2[/tex]
[tex]\\ \sf\longmapsto 136=3[/tex]
[tex]\\ \sf\longmapsto 8.880=3[/tex]
[tex]\\ \sf\longmapsto 0.01=1[/tex]
[tex]\\ \sf\longmapsto 20=1[/tex]
One Significant figure - 200, 0.01, 20
Two Significant figures- 22, 20.
Three Significant figures- 1,230, 8.88, 136
Four Significant figures- 155.6, 1,245, 8.880
PLATO
A population of bacteria is initially 2,000. After three hours the population is 1,000.
Assuming this rate of decay continues, find the exponential function that represents the size of the bacteria population after t hours. Write your answer in the form f(t)=a(b)t. Report numbers as fractions when necessary, or if using decimals, round to four decimal places.
The population starts at 2000, so a=2000.
We also know that the population in 3 hours is 1000, so we can setup the equation:
2000 b^3 = 1000
This gets us:
b^3 = 1/2
And taking the cube root of both sides gives us:
b ≈ 0.7937005259841
Rounding that to 4 places, we have:
f(t) = 2000 (0.7937)^t
In 2013, the Public Religion Research Institute conducted a survey of 1,033 adults, 18 years of age or older, in the continental United States. One of the questions on their survey was as follows:
On any given Sunday, are you more likely to only be in church, more likely to only be watching football, doing both, or doing neither?
(a) To only be in church [269 respondents selected this answer]
(b) To only be watching football [175 respondents selected this answer]
(c) Doing both [217 respondents selected this answer]
(d) Doing neither [372 respondents selected this answer]
Create a 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that are "likely" to ONLY be in church on any given Sunday.
Using the z-distribution, it is found that the 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that are "likely" to ONLY be in church on any given Sunday is (23.36%, 28.72%).
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
269 out of 1033 respondents said they were likely to only be in church, hence:
[tex]n = 1033, \pi = \frac{269}{1033} = 0.2604[/tex]
95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2604 - 1.96\sqrt{\frac{0.2604(0.7396)}{1033}} = 0.2336[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2604 + 1.96\sqrt{\frac{0.2604(0.7396)}{1033}} = 0.2872[/tex]
As a percentage:
0.2336 x 100% = 23.36%
0.2872 x 100% = 28.72%
The 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that are "likely" to ONLY be in church on any given Sunday is (23.36%, 28.72%).
A similar problem is given at https://brainly.com/question/25743435
solve for x, x-c=r+d/y
Answer:
D
Step-by-step explanation:
x - c = (r + d)/y for x
x = (r +d)/y + c common denominator : (c/1) (y/1) = yc
x = (r + d)/y + yc
x = (yc + r + d)/ y
The graph below represents the function f(x) and the translated function g(x).
AVA
2x
/g(x)
a
If f(x) = x, which of the following functions could be an algebraic representation of g(x)?
QUESTION 7.1 POINT
Translate the given phrase into an algebraic expression and simplify if possible: the difference of -3 and the product of w
and 2
Answer:
-3 - (2w)
Step-by-step explanation:
hope this helps!
Find all the square roots of 36
Hey there!
√36
= √6^2
= 6
Therefore, your answer should be: 6
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Step-by-step explanation:
[tex] \sqrt{36} = ...[/tex]
[tex] = {36}^{ \frac{1}{2} } = (6 {}^{2} ) {}^{ \frac{1}{2} } [/tex]
= 6
Eight pins, each 43/8" long, have to be cut from a piece of drill rod. There is a 3/32" waste for each cut. What is the minimum length of rod you will need?
Answer:
Eight pins, each 43/8” long, have to be cut from a piece of drill rod. There is a 3/32” waste for each cut. What is the minimum length of rod you will need? 35” ...
Donna bought a notebook for $3.50 and then spent half of her money for a textbook. Next she bought sheet music for $4.00 and then spent half of the remaining money on a calculator. She had $8.00 left. How much money did she start with?
Answer:
$43.50
Step-by-step explanation:
(Work out backward to find the answer)
Remaining money => $8
=> 8 x 2 = 16
=> 16 + 4 = 20
=> 20 x 2 = 40
=> 40 + 3.50 = 43.50
= $ 43.50
Hence, she had $ 43.50 at the beginning.
Can anyone please help??
Determine whether the inverse of F(c) is a function
find the amount of money Khairul had initially
Answer
Find the amount of money Khairul had initially
money with Khairul initially = 6x = 6(60) = 360
Step-by-step explanation:
A farmer uses two types of fertilizers. A 50lb bag of fertilizer A contains 6 lb of nitrogen and 3lb of phosphorus. A 50 lb bag of fertilizer B contains 4 lb each of nitrogen and phosphorus. The minimum requirements for a field are 480 lb of nitrogen and 240 lb of phosphorus. If a 50lb bag of fertilizer A costs $35 and a 50 lb bag of fertilizer B costs $25 find the amount of each type of fertilizer the farmer should use to minimize his cost while still meeting the minimum requirements. mathematically formulate and state the problem.
Answer:
Fertilizer A = 20, Fertilizer B = 56
Step-by-step explanation:
Step 1: Set up the equations
Nitrogen: 8x + 5y ≥ 440
Phosphorous: 2x + 5y ≥ 260
Potassium: 4x + 5y ≥ 360
Step 2: Find the vertices
It is easiest to graph the equations to find the vertices. (see attachment). You can also solve each system of equations to find the intersected points.
The following satisfy the "greater than or equal to" requirement:
(0, 88) → y-intercept of Nitrogen equation
(20, 56) → intersection of Nitrogen and Potassium equations
(50, 32) → intersection of Phosphorous and Potassium
(130, 0) → x-intercept of Potassium
Step 3: Use vertices in cost function C(x) to find the minimum
C(x) = $30x + $20y
(0, 88): $30(0) + $20(88) = $1760
(20, 56): $30(20) + $20(56) = $1720 ← This is the minimum!
(50, 32): $30(50) + $20(32) = $2140
(130, 0): $30(130) + $20(0) = $3900
The minimum cost occurs when 20 bags of Fertilizer A and 56 bags of Fertilizer B are purchased.
Graph one function of y=1/3tan(x-π)
Answer:
ayúdame a encontrarla soy de Perú por favor ayuda
The fraction 7/9 is found between which pair of fractions on a number line?
A) 3/5 and 3/4
B) 7/10 and 4/5
C) 7/10 and 3/4
D) 3/5 and 2/3
Answer:
B) 7/10 and 4/5
Step-by-step explanation:
Answer:
B) 7/10 and 4/5.
Step-by-step explanation:
Convert the values to decimals
7/9 = 0.7777...
A) = 0.6 and 0.75 - NO.
B) = 0.7 and 0.8 - YES.
Last year, wind turbines along a hilly ridge had an average output of 390 kilowatt hours per
year. The turbines were upgraded, and now their average annual output is 30% more. What
is the new average yearly output?
kilowatt hours
Submit
Answer:
507 KW/hStep-by-step explanation:
Initial output:
390 KW/hUpgraded output:
30% moreFind the upgraded output in number:
390 + 30% of 390 =390 + 390*30/100 =390*1.3 =507Average output=390KW
Updated percentage=30%
Updated output:-
[tex]\\ \sf\longmapsto 30\%\:of\:390[/tex]
[tex]\\ \sf\longmapsto 0.3(390)[/tex]
[tex]\\ \sf\longmapsto 117[/tex]
New output=390+117=507KW
Choose the best answer.
The area of the face of a quarter is about
O A. 63 cm
OB. 63 m2
O C. 63 mm2
O D. 63 dm?
Answer:
One face of a US quarter has an area of approximately 461.21 square millimeters.
Step-by-step explanation:
Select the values that make the inequality u≥ -7 true.
Answer:
Well u could be -7 or anything higher than that.
describe these sets 2,4,8,16,32,64
Answer: They are all divisible by 2.
Step-by-step explanation: They all have 2 in common. If you divide them by 2, they all work. Also, if you simplify all to the lowest number, they equal 2 except 2 itself which equals 1.
Answer:
divisible by 2 luv
Step-by-step explanation:
Question: • What is the slope?
• What is the y-intercept?
calculate each angle measure.
Answer:
m1=90
m2=68
m3=112
m4=112
m5=68
m6=56
m7=124
m8=124
708 Х 34
I have to Estimate I need help please I don't like math
Answer:
708 times 34 = 24,072
estimated = 710 times 30 = 21,300
Step-by-step explanation:
hope this helped!
mark me brainliest :D
Answer:
Estimate: 21,000 or 21,300 (the answer depends on what your teacher is looking for. you didnt give a lot of information so i apologise if its wrong)
Exact: 24,072
Step-by-step explanation:
Estimate -
700 x 30 = 21,000
or
710 x 30 = 21,300
Exact -
708 x 34 = 24,072
Hope this helps!! :)
answer.plsssssssssssssssssssssssssssssssssss
Answer:
see explanation
Step-by-step explanation:
(1)
4(m + 7) = 4 ( divide both sides by 4 )
m + 7 = 1 ( subtract 7 from both sides )
m = - 6
(2)
let the number be n , then
[tex]\frac{3}{5}[/tex] n - 2 = 40 ( multiply through by 5 to clear the fraction )
3n - 10 = 200 ( add 10 to both sides )
3n = 210 ( divide both sides by 3 )
n = 70
The required number is 70
(3)
The 4 sides of a square are congruent , then
length of side = 36 cm ÷ 4 = 9 cm
What’s the answer need in 20 minutes
Your deductible expenditures are $8236 for interest on a home mortgage, $3528 for contributions to charity, and $634 for state income taxes. Your filing status entitles you to a standard deduction of $12,200. Should you itemize your deductions rather than claiming the standard deduction? If so, what is the difference?
Answer:
yes 198
Step-by-step explanation:
Drag each statement to show whether it is true, based on
the graph
Answer:
see attached
Step-by-step explanation:
The independent variable is the one displayed on the horizontal axis: pounds. The dependent variable is the one shown on the vertical axis: cost.
Then the ordered pair shown represents ...
(pound, cost) = (0.65, 2.20)
That is, the cost of 0.65 pounds is $2.20. The cost per pound is found by dividing cost by pounds:
price per pound = $2.20/0.65 lb
__
There is no information shown regarding the weight or cost of a bag of almonds.
The categorization is shown in the attachment.
18x+5=-1+8x+46 find value of x
Answer:
3
Step-by-step explanation:
18x + 15 -8x = 8x + 45 -8x
10x + 15 = 45
10x + 15 - 15 = 45 - 15
10x = 30
10x/10 = 30/10
× = 3
Every weekday the nursery buys enough milk for 37 children to have 250ml of milk each. An additional two pints per day is bought for the staff.
The milk comes in 4-pint cartons. The price of a carton of milk has increased by 10p.
How much more will the nursery pay for milk each week?
1 litre = 1.76 pints
Answer:
238.5p or 2.385 pounds per week
Answer: Please ignore the other answers.
Step-by-step explanation:
We stopped using half-pennies in the UK over 50 years ago.
I'm a tutor on the course this is on and I am sick of learners copying this incorrect answer.
Which choices are equivalent to the expression below? Check all that apply.
4./6
O A. 96
B. 132.5
I C. 4../36
O D. 116.6
E. 196
OF V24
SUBMIT
can someone pls help me with dis ill give brainliest
9514 1404 393
Answer:
a) 9×10⁶ +1×10³ +1×10²
b) 8×10⁷ +7×10⁶ +9×10⁴ +6×10³ +1×10² +4×10¹ +2×10⁰
Step-by-step explanation:
The place value of each digit is 10 to a power equal to the number of places the digit is to the left of the units (ones) place. That is, the exponent of 10 is the number of zeros in the multiplier for place value.
a)9,001,100 = 9×1,000,000 +1×1,000 +1×100 = 9×10⁶ +1×10³ +1×10²
__
b)87,096,142 = 80,000,000 +7,000,000 +90,000 +6,000 +100 +40 +2
= 8×10⁷ +7×10⁶ +9×10⁴ +6×10³ +1×10² +4×10¹ +2×10⁰
_____
Additional comment
It is useful to learn to think of place value in this way, because it helps immensely when you convert numbers to or from scientific notation.
You may notice the powers of ten count up for places to the left of the decimal point. They count down for places to the right. That is, the tenths place has a place value that is the inverse of the tens place: 1/10 = 10⁻¹.
I need the answer and how you done it please
Answer:
x=11/17
Step-by-step explanation:
determine the defined range
11/x 17
11/x =17 then x is canceled out
11=17x
17x=11 dividing both sides
x=11/17
How much would you be paid for 4 hours of work? A cashier earns $8 per hour. Time (h) 2 4 Pay ($) 16 40 72
Answer:
32$
Step-by-step explanation: