Answer:
5/11
Step-by-step explanation:
Tyion has 4,000 dollars and wants to share it evenly with 19 friends. How much would they each receive?
Answer:
Each friend will receive 210.5 dollars.
Step-by-step explanation:
Total Amount Tyion has = 4,000 dollars
He wants to share evenly with 19 friends.
We need to find How much would amount each friend will receive.
We can found it by using formula:
Amount each friend received = Total Amount / Number of friends
Putting values in the formula and finding results:
Amount each friend received = 4000/19
Amount each friend received = 210.5 dollars
So, each friend will receive 210.5 dollars.
A pollster believes that 20% of the voters in a certain area favor a bond issue. If 81 voters are randomly sampled from the large number of voters in this area, approximate the probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.02. (Round your answer to four decimal places.)
Answer:
0.3472 = 34.72% probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.02.
Step-by-step explanation:
To solve this question, we use the normal probability distribution and the central limit theorem.
Normal probability distribution:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
Proportion [tex]p = 0.2[/tex], sample of [tex]n = 81[/tex]. So
[tex]\mu = p = 0.2[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.2*0.8}{81}} = 0.0444[/tex]
Approximate the probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.02.
Probability of the sampled proportion being between 0.2 - 0.02 = 0.18 and 0.2 + 0.02 = 0.22, which is the pvalue of Z when X = 0.22 subtracted by the pvalue of Z when X = 0.18. So
X = 0.22
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.22 - 0.2}{0.044}[/tex]
[tex]Z = 0.45[/tex]
[tex]Z = 0.45[/tex] has a pvalue of 0.6736
X = 0.18
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.18 - 0.2}{0.044}[/tex]
[tex]Z = -0.45[/tex]
[tex]Z = -0.45[/tex] has a pvalue of 0.3264
0.6736 - 0.3264 = 0.3472 = 34.72% probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.02.
I need help please. I will give Brainiest for correct answer with explanation. If you a picture of the answer being that on the test I will give Brainiest and five stars.
Answer: it’s the one you already but the orange dot on
Step-by-step explanation:
Answer:
Its C.
Step-by-step explanation:
Using mental math you can do 1/4th= 25
and 25*4 is 100. so henceforth its C.
Does anyone know how to do these types of problems?
Answer:
me, what's the question so I can see how to figure out the answer
Find the equations and x use Pythagorean theorem
Pls help I’m putting 15 points please please please
Answer:
9 yards 1 foot 2 inches
Step-by-step explanation:
90inches=2.5 yards
3.5 yards
10.5 ft=3.5 feet
2.5+3.5=6 yards
6+3.5 ft=9.5 yards
9 yards 1 foot 2 inches
took me forever to write this
Answer:
342 inches, 28.5 feet, 9.5 yards.
Step-by-step explanation:
The conversion rates you need to know are as follows:
1 foot = 12 inches
1 yard = 3 feet
Because there are 3 feet in a yard, we know that there must be are 36 inches in a yard. First, we find how many inches are in 10.5 feet and 3.5 yards. This would be 10.5 * 12 resulting in 126 inches. Also, 3.5 yards as we know is 36 inches so we do 3.5 * 36 which results again in 126. Finding the sum (126 + 126 + 90) we can see that this ribbon is 342 inches long. To find feet we divide this by 12. To find yards, we divide it by 36.
which statement about 2(x+4) is true?
A. 2(x+4) is a quotient.
B. 2(x+4) is a product.
C. 2(x+4) is a product of three factors.
D. 2(x+4) has four terms
what is the answer ????
Answer:
I think its b not sure Bc I am only in 8th grade
Find the output, y, when the input, x, is 6.
Answer:
2
Step-by-step explanation:
Answer:it. Actually 0
Step-by-step explanation:
I NEED GOOD GRADES PLEASE HELP
What is 32.08 as a percent and a fraction?
Answer:
32.08% = 401/1250
Step-by-step explanation:
A diver is on a springboard that is 3 meters above the surface of the pool. Another diver is 2 meters below the surface of the pool. Who is closer to the surface of the pool?
Answer:
i think its b
A farm has 6 chickens, 4 ducks, 2 pigs and 4 cows. If an animal is chosen at random, find P(Cow | 2 legs)
The conditional probability P(Cow | 2 legs) is 0.
We have,
To find the conditional probability of selecting a cow given that the animal has 2 legs, we need to determine the number of 2-legged animals and the number of cows with 2 legs.
From the given information, we know that cows have 4 legs.
The probability of selecting a cow with 2 legs is 0, since cows do not have 2 legs.
Thus,
The conditional probability P(Cow | 2 legs) is 0.
Learn more about probability here:
https://brainly.com/question/14099682
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the first social studies test had 16 questions. the second test has 220% as many questions as the frist test. find the number of questions on the second test.
Answer:
The answer is 35.2
Find angle 1, if angle 2 = 56 and m LJKL = 145
Answer: NEED PICTURE TO ANSWER, we dont know if it a square or if its a rectangle, sry
Step-by-step explanation:
For my
mom's new exercise program, every two days she jogs two miles and every 5 days lifts
weights. On what day will she jog and lift weights on the same day?
Answer:
She will jog and lift weights on the same day in 10 days
Step-by-step explanation:
To find when two events will happen on the same day, we find the least common multiple(that is not 0) of their frequencies.
In this question:
Every two days she jogs
Every 5 days she lifts.
Multiples of 2: {0, 2, 4, 6, 8, 10, 12, ...}
Multipled of 5: {0, 5, 10, 15, ...}
The least common multiple is 10, so:
She will jog and lift weights on the same day in 10 days
katie can build three staircases to make 36 obstacles against the other player. how many staircases will she need to make 24 obstacles?
Answer:
2 staircases
Step-by-step explanation:
3 : 36
1 : 12
2 : 24
If katie can build three staircases to make 36 obstacles against the other player. Then 2 staircases will she need to make 24 obstacles
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
katie can build three staircases to make 36 obstacles against the other player
We need to find the number of staircases she need to make 24 obstacles.
Let us form a proportional relationship.
Consider x as the number of staircases will she need to make 24 obstacles
3/36=x/24
Apply cross multiplication
3×24=36x
72=36x
Divide both sides by 36
x=2
Hence Katie should have 2 staircases to make 24 obstacles.
To learn more on Ratios click:
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Find the perimeter of the trapezoid.
Select all angles adjacent to 24. You must select all
correct answers.
A. 1
B. 2
C. 3
D. 4
E. 5
F. 6
Answer:
E,F,C
Step-by-step explanation:
Evaluate: 3 - 4 - 4 - (-2)
Answer: -3
Step-by-step explanation:
3−4−4+2
−1−4+2
−5+2 =-3
Answer:
-3
Step-by-step explanation:
Out of 28 cookies,
are chocolate chip. How many cookies are chocolate chip?
Plssss
Jocelyn invested $390 in an account paying an interest rate of 2.7%
compounded daily. Assuming no deposits or withdrawals are made,
how much money, to the nearest cent, would be in the account after 18
years?
Answer:
There will be $634.05 in the account.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$390 in an account paying an interest rate of 2.7% compounded daily.
This means that [tex]P = 390, r = 0.027, n = 365[/tex]
Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 18 years?
This is A(18). So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(18) = 390(1 + \frac{0.027}{365})^{365*18}[/tex]
[tex]A(18) = 634.05[/tex]
There will be $634.05 in the account.
solve each proportion.
2/4=4/p-3
pls help
Answer:
[tex]p=\frac{8}{7}[/tex]
Step-by-step explanation:
[tex]\frac{2}{4} = \frac{4}{p} - 3[/tex]
[tex]\frac{1}{2} = \frac{4}{p} - 3[/tex] (simplify)
[tex]\frac{1}{2}+3 = \frac{4}{p} - 3+3[/tex]
[tex]\frac{1}{2}+3 = \frac{4}{p}[/tex] (Add 3 to both sides)
[tex]\frac{7}{2}= \frac{4}{p}[/tex] (simplify)
[tex]\frac{7}{2}p= \frac{4}{p}*p[/tex]
[tex]\frac{7p}{2}=4[/tex] (Multiply both sides by p)
[tex]\frac{7p}{2}*2=4*2[/tex]
[tex]7p=8[/tex] (Multiply both sides by 2)
[tex]\frac{7p}{7}=\frac{8}{7}[/tex]
[tex]p=\frac{8}{7}[/tex] (Divide both sides by 7)
Alina, Robert, and Makayla are on the student council at their high school.
They all want to go to a dinner where student council representatives from
other schools will participate. However, only one student per school can go.
How can a fair decision be made about who goes to the dinner?
Select all that apply.
A. Roll a number cube. If it lands on 1 or 3, Alina wins. If it lands on 2
or 4, Robert wins. If it lands on 5 or 6, Makayla wins.
B. Write each student's name on a slip of paper and put the slips in a
bag. Randomly draw a slip of paper. The student whose name is
on the paper wins.
C. Roll a number cube. the number is even, Alina wins. If the
number is 1 or 3, Robert wins. If it's any other number, Makayla
wins.
D. Flip a coin twice. If both tosses are heads, Alina wins. If both are
tails, Makayla wins. If one is heads and one is tails, Robert wins.
Answer:
B. Write each student's name on a slip of paper and put the slips in a bag. Randomly draw a slip of paper. The student whose name is on the paper wins
Answer:
A. Roll a number cube. If it lands on 1 or 3, Alina wins. If it lands on 2 or 4, Robert wins. If it lands on 5 or 6, Makayla wins.
B. Write each student's name on a slip of paper and put the slips in a
bag. Randomly draw a slip of paper. The student whose name is
on the paper wins.
Step-by-step explanation:
Determine a rational number that is located between -2 1/4 and -2.8
justify that the point is located between these two numbers and then graph the point on a number line relative to -2 1/4 and -2.8
Answer:
7
Step-by-step explanation:
Need help asap
Do they represent a function or not a function
Answer:
Number 1 does not represent a function because it does not pass the Vertical Line Test.
Number 2 does not represent a function because it does not pass the Vertical Line Test.
Which one is a function please help!!!!
Answer:
the 2nd
Step-by-step explanation:
I came here to practice some questions for my PSAT test upcoming.
Answer:
Your doing a practice SAT test... thats nice I have already done that and the practice ACT testing... im only 13 :)
Princeton here i come! :D
Step-by-step explanation:
8.
Ms. Abbott's 6th grade class has 18 students with brown eyes and 12 students with blue eyes. Ms. Downey's 6th grade class has 15 students with brown eyes and 10 students with blue eyes. What is the ratio of the students in Mrs. Downey's class to the students in Ms. Abbott's class? Choose all correct answers.
a.
5/6
c.
25/30
b.
30/25
d.
6/5
Answer:
5/6
25/30
Step-by-step explanation:
Ten cards are numbered 10, 11, 12, ..., 19, one number per card. Brian removes three cards whose numbers are primes, and puts the remaining cards in a hat. If one card is then drawn at random from the hat, what is the probability that its number is a prime?
A) 1/10
B) 1/9
C) 1/5
D) 2/5
E) None of The Above
Answer:
None of the Above
Step-by-step explanation:
10 - Not Prime
11 - Prime
12 - Not Prime
13 - Prime
14 - Not Prime
15 - Not Prime
16 - Not Prime
17 - Prime
18 - Not Prime
19 - Prime
6 numbers NOT PRIME
4 numbers PRIME
4 - 3 = 1
1 + 6 = 7
1/7
