Answer:
(i) 7 one is equivalent is equivalent to [tex]\frac{7}{100}[/tex] hundreds, (ii) 1400 tenths is equivalent to 14 tens.
Step-by-step explanation:
We proceed to find the equivalent number in rational form:
(i) 7 one is equivalent to how many hundreds? In this case, we know that 7 one is equivalent to [tex]x[/tex] hundreds. That is:
[tex]7\times 1 = x \times 100[/tex]
Then, we solve the expression for [tex]x[/tex]:
[tex]x = \frac{7\times 1}{100}[/tex]
[tex]x = \frac{7}{100}[/tex]
7 one is equivalent is equivalent to [tex]\frac{7}{100}[/tex] hundreds.
(ii) 1400 tenths is equivalent to how many tens? In this case, 1400 tenths is equivalent to [tex]x[/tex] tens. That is:
[tex]1400\times \frac{1}{10} = x\times 10[/tex]
Then, we solve for [tex]x[/tex]:
[tex]x = \frac{1400}{10\times 10}[/tex]
[tex]x = \frac{1400}{100}[/tex]
[tex]x = 14[/tex]
1400 tenths is equivalent to 14 tens.
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.
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.
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
What is the midpoint of the segment shown below? (-1,5) (-6,-2)
Answer:
(-7/2, 3/2)
Step-by-step explanation:
picture below ;)
A line became by joining two coordinates, the midpoint of the given line segment is (-3.5,1.5).
What is a line segment?
A line segment is become by joining two points which has specific coordinates.
To find the midpoint coordinate between any two points then we have to add the x's coordinates and divide by two and similarly y's coordinates and divide by two.
For example, if you have two points as (a,b) and (c,d) then the coordinate of the midpoint joining this line will be ( [tex]\frac{a+c}{2}[/tex], [tex]\frac{b+d}{2}[/tex] ).
Since the points are (-1,5) (-6,-2) so the midpoint joining this line segment will be
( [tex]\frac{-6-1}{2}[/tex], [tex]\frac{5-2}{2}[/tex] ) so (-3.5,1.5) will be the midpoint of the line segment.
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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
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:
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:
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:
Help me answer this!!!
Answer/Step-by-step explanation:
Year = x
Weight (kg) = y
Rate of change between 2010 and 2011 = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Where,
[tex] (2010, 35) = (x_1, y_1) [/tex]
[tex] (2011, 30) = (x_2, y_2) [/tex]
Plug in the values
[tex] = \frac{30 - 35}{2011 - 2010} [/tex]
[tex] = \frac{-5}{1} = -5 [/tex]
Rate of change = -5kg per year
This means that there was a decrease in the weight of the winning dog form 2010 to 2011 by 5 kilograms
what is the answer ????
Answer:
I think its b not sure Bc I am only in 8th grade
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)
Help!!!!!!!!!!!!!!!!!!!!!
Answer:
10x + 20
Step-by-step explanation:
ok 1st you know whatever you do the sides you gotta do to the side across from it so 1st easy thing is add the 2x values from the sides then your 3x+10 multiply it by 2 thats your answer then add the value up
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
Order the values from least to greatest.
Answer:
D
Step-by-step explanation:
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
Which equation shows the zero property of multiplication
A. 4×0=0
B. 9+9+9=3×9
C. 3×6=6×3
D. 5×1=1
Answer:
A. 4×0= 0
Step-by-step explanation:
since it shows that any number you multiply by 0 still gives you 0
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
Find the equations and x use Pythagorean theorem
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
Find the output, y, when the input, x, is 6.
Answer:
2
Step-by-step explanation:
Answer:it. Actually 0
Step-by-step explanation:
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.
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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
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
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
How many 1 1/2 -pound loaves of bread can be made from 9 pounds of dough?
Answer:
6
Step-by-step explanation:
You divide 9 by 1 1/2.
I NEED GOOD GRADES PLEASE HELP
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:
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:
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.
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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.
