Answer:
1/4
Step-by-step explanation:
Absolute value is the distance of a value from 0, you can think of it as a number line. So -2/8 is equal to -1/4 when simplified, and -1/4 is 1/4 away from 0 on the number line
Answer:
2/8
Step-by-step explanation:
absolute values are always positive
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.
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:
Find the output, y, when the input, x, is 6.
Answer:
2
Step-by-step explanation:
Answer:it. Actually 0
Step-by-step explanation:
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:
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.
Find the equations and x use Pythagorean theorem
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:
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
Select the interval where g(x) < 0
Answer:
4
Step-by-step explanation:
4 us the rifht answer just put 4
The value of the function in the interval (-4, -1) and (1, ∞) will be positive. Then the correct option is C.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The first number mentioned is the least because it is the smallest, and the final number listed is the greatest because it is the biggest.
From the graph, the value of the function in the interval (-4, -1) will be positive. And the value of the function in the interval (1, ∞) will be positive. Then the correct option is C.
More about the function link is given below.
https://brainly.com/question/5245372
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The graph is attached below. And the missing options are given below.
a. x < - 4
b. x > 1
c. -4 < x < 1 and x > 1
d. - 4 > x
I NEED GOOD GRADES PLEASE HELP
Find the perimeter of the trapezoid.
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:
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
PLEASE HELP I HAVE 26 MINUTES TO COMPLETE THIS
Answer:
2y +12
Step-by-step explanation:
5y - 3y =2y and then plus 12
Answer:
C
Step-by-step explanation:
1(x-2)= -5.5 solving for x. What's the answer
Answer:
x = -3.5
Step-by-step explanation:
1(x-2) = -5.5
x-2 = -5.5
+2 +2
x = -3.5
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.
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:
https://brainly.com/question/1504221
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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)
Which one is a function please help!!!!
Answer:
the 2nd
Step-by-step explanation:
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.
At a store, notebooks are on sale for 78% off the regular price. The cost of a notebook is represented by n. Which of the
following expressions does NOT represent the sale price of the notebooks?
O A n +0.22
OB. 0.22n
OC. n - 0.78n
OD. (1 -0.78)
Answer:
C
Step-by-step explanation:
If the cost is represented by n, why would you subtract the cost of the notebook by 0.78 while multiping it witht the cost?
Answer:
C
Step-by-step explanation:
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:
What is 32.08 as a percent and a fraction?
Answer:
32.08% = 401/1250
Step-by-step explanation:
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
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:
what is the answer ????
Answer:
I think its b not sure Bc I am only in 8th grade
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
What is the equation for the following graph?
Answer:
-2x + 4
Step-by-step explanation:
The y intercept is 4. When x increases by 1, y decreases by 2.
Answer:
Y
Step-by-step explanation:
The rise is -2/1 and that is simplified to -2 because the line is going down
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
