Answer:
Step-by-step explanation:
5×0.5^(9/3.66) = 0.9 gram
0.9 gm of radium-224 would remain after 9 days.
What is Half life?A radionuclide's half-life is the amount of time it takes for half of its radioactive atoms to decay. A good rule of thumb is that you will have less radiation than 1% of the original amount after seven half-lives.
We have,
The half-life of radium-224 is approximately 3.66 days.
Amount of radium- 224 to be decayed= 5 gm
So, the amount of radius-224 that remained after 9 days are
= 5 × [tex]0.5^{(9/3.66)[/tex]
= 5 x 0.1818
= 0.9 gram
Thus, the remaining amount is 0.9 gm.
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A newspaper poll found that 54% of the respondents in a random sample of voters from a district in a city plan to vote
for candidate Roberts rather than the candidate running against him. A 95% confidence interval for the population
proportion was 0.54 0.06. What is the correct interpretation of the 95% confidence interval?
O We can be 95% confident that 54% of all voters will vote for Roberts.
There is a 95% probability that Roberts will receive between 48% and 60% of the votes.
There is a 5% chance that less than 48% or more than 60% of voters will vote for Roberts.
We can be 95% confident that the true proportion of voters who will vote for Roberts is between 48% and 60%.
If we repeatedly took samples of the same size from voters from this city, approximately 95% of those samples
would have between 48% and 60% of the sample voting for Roberts.
Answer:
We can be 95% confident that the true proportion of voters who will vote for Roberts is between 48% and 60%.
What is the value of x in the equation 3(2x + 4) = -6?
0-3
O
012
19
Answer:
x = -3
Step by step explaination-
3(2(-3) + 4) = -6
Can y’all help me on question 29?!
Answer:
Step-by-step explanation:
Carol drew an isosceles triangle that has an angle that measures 62°. Which could be the measures of the other two angles in Carol’s triangle?
A. 62° and 62°
B. 56° and 56°
C. 28° and 90°
D. 56° and 62°
Answer: the answer is B
Step-by-step explanation:
Answer:
56 and 62
Step-by-step explanation:
Which is an equivalent expression for 6(2y+4)+5y?
please help
Answer:
17y+24
Step-by-step explanation:
simplify so the first step would be to multiply whats in the parentheses by the number outside in this case its 6 youd get:
12y+24+5y
then you simplify farther by adding like terms
17y+24
There are 64 pretzels in a 16-ounce bag of chocolate-covered pretzels.
How many chocolate covered pretzels are there per ounce?
Answer:
64 pretzels in a 16 oz bag
1 oz will contain 64/16 pretzels = 4
5 oz will therefore contain 4 x 5 = 20 pretzels
Step-by-step explanation:
See here for a deeper explanation! ^^
Hopefully it helps :)
https://brainly.com/question/200543
what is 25x + 17y - 3x - 2y equal to?
Answer:
22x+15y
Step-by-step explanation:
John is paid at an hourly-rate of $15 an hour and overtime time rate of 1.5 times
his hourly-rate for his work. If John puts in w regular hours and y overtime hours
in a week, what is his total wage for the week?
Answer:
15*w+1.5(15)*y
15w+22.5y
Week=7 days.
7(15w+22.5y)
105y+157.5y hours
Step-by-step explanation:
Simplify ..............
Answer:
The third response
Step-by-step explanation:
I need help on question 7 :)
Answer:
D
Step-by-step explanation:
is the only choice that actually helps in solving the equation
Answer:
D. Substitute -3x+4 in for y in the first equation.
Are the triangles similar? Justify your answer
Answer:
Yes
Step-by-step explanation:
If you divide all the sides of the larger triangle by 3, it's equivalent to the sides of the smaller triangle. Therefore, they are similar.
What is the slope-intercept form of the equation below written in standard from:
x + y =9
A. y = x + 9
B. y = -x+ 9
C. y + x = 9
D. y = 9 + x
Answer:
B
Step-by-step explanation:
y+x=9
y=slope
y=9-x
A seller buys an item from a manufacturer for $100 and sells it to a customer for $120. Which of these terms describes this extra $20?
A.
cost
B.
price
C.
markup
Answer:
C: Markup, for profit!
The cost is 100, without markup.
The price is how much it's on sail for (120)
Step-by-step explanation:
on a scale drawing 2 inches represents 30 feet how many inches long is a line segment that represents 10 feet
Answer:
2/3 inch.
...................
26) True/False (1 point): Vertical angles, corresponding angles, and supplementary angles are all congruent angle pairs.
Answer:
I say the answer will be true
Answer:
true
Step-by-step explanation:
What is the answer to this question? 4w+8=6w-4
Answer:
6
Step-by-step explanation:
hope this helps
________________________________
Answer:
The Red block is the answer
Step-by-step explanation:
Look first at problem then answer 2-6
NO SPAM and EMERGENCY PROBLEM
3t−18=4(−3−
4
3
t)
Answer: 0.034
Step-by-step explanation:3t-18=4(-3-43t)
3t-18=-12-172t
3t+172t=-12+18
175t/175=6/175
t=0.034
A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the past 30 days, with an allowable sampling error (E) of 0.03 and a confidence level of 99.74%. Of secondary data indicated that 25% of all adults had used the Internet for such a purpose, what is the sample size
Answer:
The sample size is 1875.
Step-by-step explanation:
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]1-\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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Sampling error of 0.03.
This means that [tex]M = 0.03[/tex]
99.74% confidence level
So [tex]\alpha = 0.0026[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.0026}{2} = 0.9987[/tex], so [tex]Z = 3[/tex].
25% of all adults had used the Internet for such a purpose
This means that [tex]\pi = 0.25[/tex]
What is the sample size
The sample size is n. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 3\sqrt{\frac{0.25*0.75}{n}}[/tex]
[tex]0.03\sqrt{n} = 3\sqrt{0.25*0.75}[/tex]
Simplifying by 0.03 both sides
[tex]\sqrt{n} = 100\sqrt{0.25*0.75}[/tex]
[tex](\sqrt{n})^2 = (100\sqrt{0.25*0.75})^2[/tex]
[tex]n = 1875[/tex]
The sample size is 1875.
A farmer sells 9.8 kilograms of pears and apples at the farmer's market. 3/4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
2.45 kg of apples
Step-by-step explanation:
The farmer starts with 9.8 kg of fruit, and 3/4 of that is pears meaning the remaining 1/4 is apples. 9.8kg * 1/4 = 2.45 kg of apples
Elementary school A has implemented an after-school sports program and the principal would like to know if the participants of the sports program are becoming more active in general, compared to students who are not participating in the program. So the principal collected data on overall physical activities throughout the week from a group of the sports program participants and a group of school A students not in the program. The most appropriate statistical test for data analysis would be:_______.
A. Paired-samples t test
B. Independent-samples t test
C. Pearson's correlation
D. One-sample t test
Answer:
B. Independent-samples t test
Step-by-step explanation:
The test here is to find out if the participants of the sports program are becoming more active in general when compared to students who are not participating in the program.
Now, this will involve taking sample from the two independent groups to determine if there is statistical evidence that one is more active than the other.
Thus, the best test to use in this case will be the Independent-samples t test
What are the like terms in the expression
5x+9+4x
Step-by-step explanation:
[tex]5x \: and \: 4x \: are \: like \: terms \: in \: here[/tex]
Answer:
5X AND 4X
Step-by-step explanation:
Mr. Young is buying a house. He can spend no more
than 29% of his income on monthly house payments.
If he earns $4,200 per month, what is the largest
monthly house payment he can make?
Answer:
The largest monthly house payment he can make is $1,218.
Step-by-step explanation:
In this question:
He spend at most 29% of his income on monthly house payments.
His monthly income is of $4,200.
What is the largest monthly house payment he can make?
0.29*4200 = 1218
The largest monthly house payment he can make is $1,218.
Find the surface area of this cylinder.
Round to the nearest tenth.
8ft
4ft
[?] ft?
The surface area of this cylinder is 301.6 square feet.
What is the surface area of a cylinder?The surface area of a cylinder that has a radius of 'r' and height of 'h' is
2πr(r + h) square unit.
Given, the radius of the cylinder is(r) = 4 feet
Height of the cylinder is(h) = 8 feet
Therefore, the surface area of the cylinder is
= 2πr(r + h) square unit.
= 2π × 4(4 + 8) square feet
= 301.59 square feet
≈ 301.6 square feet
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PLEASE ANSWER ANY QUESTIONS ASAP THANK YOU SO MUCH
Find the missing angle according to the Triangle Exterior Angle Theorem
Answer:
x=128°
Step-by-step explanation:
90+38=128
PLEASE HELP!!!!!!!!!!!!
Answer:
57
Step-by-step explanation:
Hello There!
complementary angles add up to equal 90
So to find the measure of angle 2 we subtract the given angle (33) from 90
90-33=57 so the measure of angle 2 = 57
Answer: 57°
Complementary Angles add up to 90°
Since we already have 33°, we need to find the other half.
90 - 33 = 57
It'll be 57°
HELP FATS PLEASE
WILL MARK BRAINLEYST
HOW TO STEP BY STEP SOLVE THIS
Answer:
Step-by-step explanation:
(y+2)'2-5=20
(y+2)'2=15
y·y+4=15
y·y=11
y=11y
y=5.5
Each side of a square is increasing at a rate of 5 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the square is 49 cm2
Answer:
25 cm^2/sec
Step-by-step explanation:
I my understanding of the question. It doesn't matter what the area of the square is currently is, for example if the area is 25 cm^2, 36 cm^2 or 49cm^2, the rate will ALWAYS increase by rate squared.
rate(a) x rate(b) = rate(area) in this case rate(a) = rate(b)
(5 cm^2/s) (5 cm^2/s) = 25 cm^2/s