Answer:
x = 5
Step-by-step explanation:
the supplementary angle of (19x-18) = 180 - (19x-18) = 198-19x
all interior angles of a triangle = 180 degrees
180 = (7x+1) + (10x-9) + (198-19x)
180 = 7x+10X-19x+1-9+198
180 = -2x+190
-2x = -10
x = 5
For a one-sample test for a population proportion p and sample size n, why is it necessary that np0 and n(1−p0) are both at least 10 ?.
The sample size must be large enough to support an assumption that the sampling distribution of the sample proportion is approximately normal. Therefore, the correct answer is option is C.
In order to use the normal approximation, we consider both np and n( 1 - p ). If both of these numbers are greater than or equal to 10, then we are justified in using the normal approximation.
While conducting a one-sample test, the population proportion is taken as p and the given sample size is n.
For the sample data to be used for the normal approximation
n×p≥10 and
n(1-p)≥10
Condition should be met.
That means when the np and n(1-p) value is greater than 10, the entire sample can be said to behave like a normal distribution.
This can be regarded as a general rule of thumb, and typically the larger the values of np and n(1-p), the better is the approximation.
Therefore, the correct answer is option is C.
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"Your question is incomplete, probably the complete question/missing part is:"
For a one-sample test for a population proportion p and sample size n, why is it necessary that np0 and n(1-p0) are both at least 10?
A) The sample size must be large enough to support an assumption that the distribution of the population is approximately normal.
B) The sample size must be large enough to support an assumption that the distribution of the sample is approximately normal.
C) The sample size must be large enough to support an assumption that the sampling distribution of the sample proportion is approximately normal.
D) The sample size must be large enough to support an assumption that the observations are independent.
E) The sample size must be large enough to support an assumption that the sample proportion is an unbiased estimator of the population proportion.
what is the answer ..........
Answer:
9
Step-by-step explanation:
area of a right angled triangle is half×base×height
Answer:
Area = 9
Step-by-step explanation:
The area of a triangle is 1/2 the base times the height:
A = 1/2bh
To solve, simply substitute the numbers:
A = 1/2(3)(6)
A = 1/2(18)
A = 9
A six-faced die is rolled .
a)Find the probability of it landin on a value more than 4
b)find the probability of it landing on an even number
Answer:
[A] 2/6
[B] 1/2
Step-by-step explanation:
Given:
A six-faced die is rolled .
To Find:
Find the probability of it landing on a value more than 4
Find the probability of it landing on an even number
Part A:
Knowing that a six-faced die has six number on it (1,2,3,4,5,6)
Thus, the probability of it landing on an value more than 4 is 2/6.
Because 5 and 6 is more than 4
Part B:
1,3,5 = Odd
2,4,6 = Even
Thus, the probability of it landing on an even number is 3/6 Simplify 1/2 . Which also is 50%.
~Lenvy~
What is the solution of the equation (x – 5)2 + 3(x – 5) + 9 = 02 Use u substitution and the quadratic formula to solve.
Answer:
x = 18/5
Step-by-step explanation:
GIVING BRAINLIEST! The diagram below shows the measurements of a bookcase. What is the total height of the bookcase?
Answer:
D. 18 1/8
Step-by-step explanation:
The three 1/3’s add up to 1. The 7 and 9 add up to 16. Add the 1 to that and you get 17. Then change the 1/2 to 4/8 and add that to the 5/8. You then get 1 and 1/8. Then you add that to the 17.
4+1=5,5+2=12,6+3=21,8+11?
Hello~
4+1=5
5+2=12
6+3=21
8+11 =
The First one is correct!
Ary~
the sum of 4 and the second power of b is equal to 104. write as an equation
Answer:
4 + b² = 104
Hope this helps. :)
Answer:
b^{2} + 4 = 104.
Step-by-step explanation:
The sum of 4 and the second power of b basically means 4 + b^2.
b^2 + 4 = 104
\(b^{2} + 4 = 104\)
b^2 = 100
b = plus or minus 10.
Hope this helps!
What is the cost of 1 pound of grapes?
Please help with this
Answer:
I believe the answer is 324cm³
just do length x width x height divided by 2
9 x 6 x 12= 648
648÷2=324
I hope this helps dude :)
what is the correct alternative hypothesis for the wilcoxon rank sum test? group of answer choices ha: the two samples come from the same distribution. ha: the population slope coefficient is not equal to zero. ha: one distribution is shifted in location higher or lower than the other. ha: the population means are equal.
The correct alternative hypothesis for the Wilcoxon rank sum test is: ha: one distribution is shifted in a location higher or lower than the other. Option C is the answer.
This means that the test is designed to determine if there is a significant difference between the medians of two independent groups, rather than testing for a difference in means.
The null hypothesis for the test is that there is no significant difference between the two groups, while the alternative hypothesis states that there is a significant difference.
The Wilcoxon rank sum test is a nonparametric test and is used when the assumptions of the t-test are not met, such as non-normality or unequal variances.
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a submarine is 50 meter below sea levl. it goes up 15 meters, then goes down 40 meters. what is the submarine' new position relative to sea level ? 1. ( -105 meters) 2. ( -75meters) 3.( -35 meters) 4. ( 25 meters)
Answer:
-75 meters
Step-by-step explanation:
First, subtract 15 from 50, since it is going up:
50 - 15
= 35
Then, add 40, since it is going back down:
35 + 40
= 75
So, the new position is -75 meters relative to sea level
First condition of submarine=50 m below the sea=-50 m
It goes up 15 m, that means we must add up 15 m.
-50 m+15 m=
15 m-50 m=-35 m (35 m below the sea)
And, then goes down 40 m, so we subtract it with 40 m.
-35 m-40 m=-75 m (75 m below the sea)
So, the right answer is 2. (-75 meters)
Thank you.
Which
expression is equivalent to
X^-5/3
Answer:
-(5-3) is the answer bcoz - make 5 negative and 3 positive
Step-by-step explanation:
I hope this will help you
If 12% of the air leaks out of Brian's bicycle tire every day, what percent of the air will be left after 2 days? After a week? Round your percents to 2 decimal places.
Answer:
77.44%
49.87%
Step-by-step explanation:
If 12% leaks everyday, on the first day 12% would leak, leaving 100 - 125 = 88% of air
on the second day, 12% of 88% would leak = 0.88 x 0.12 = 0.1056
Air left on the second day = 88% - 10.56% = 77.44%
After a week = (100 - 12%)^7 = 49.87%
Please help giving up 20 points for answers
Answer:
Question 2: 6x-21
Question 1: -9x+3
Step-by-step explanation:
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 7.6 reproductions and the population standard deviation is known to be 2.2. If a sample of 707 was used for the study, construct the 90% confidence interval for the true mean number of reproductions per hour for the bacteria. Round your answers to one decimal place.
The confidence interval for the true mean number of reproductions per hour is (7.5,7.7)
Given mean of 7.6 , standard deviation of 2.2, n=707 and 90% confidence level.
We have to find the confidence interval for the true mean number of reproductions per hour for the bacteria.
α=0.90
μ=7.6
σ=2.2
m=707
α/2=0.45
We have to calculate z value for the p value of 0.45 which is z=1.64.
Margin of error=z*μ/\(\sqrt{n}\)
=1.64*2.2/\(\sqrt{707}\)
=0.13
Lower level=mean -m
=7.6-0.13
=7.47
after rounding upto 1 decimal
=7.5
Upper level= mean +m
=7.6+0.13
=7.73
after rounding upto 1 decimal
=7.7
Hence the confidence interval is (7.5,7.7) for the true mean number of reproductions per hour.
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3. The decimal expansion of 13/625 will terminate
after how many places of decimal?
(a) 1
(b) 2
(c) 3
(d) 4
The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.
The given fraction is 13/625.
Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.
Here, the decimal expansion is 13/625 = 0.0208
So, the number of places of decimal are 4.
Therefore, the correct answer is option D.
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Rewrite in simplest terms: -3(s – 10) + 7(-2s – 1)
-3(s-10)+7(-2s-1)
-3s+30+(-14s-7)
Answer:
\(-17s + 23\)
Step-by-step explanation:
\( - 3(s - 10) + 7( - 2s - 1)\)
\( - 3(s - 10) = - 3s - 3 \times ( - 10)\)
\( - 3s + 30 + 7( - 2s - 1)\)
\( - 3s + 30 - 14s - 7\)
\( - 17s + 30 - 7\)
\( \boxed{\green{= - 17s + 23}}\)
ABCD is an isosceles trapezoid.
measure of angle B=
measure of angle C=
measure of angle D=
Answer:
Angle b= angle c =83degree
Angle d =97degree
Step-by-step explanation:
Since isosceles:
Angle b =angle c
Angle a= angle d
Angle d =a=97
Sum of quadrilateral inner degrees:360
(360-2x97)/2=b=c=83
Answer:
Answer:
Angle b= angle c =83degree
Angle d =97degree
Step-by-step explanation:
Since isosceles:
Angle b =angle c
Angle a= angle d
Angle d =a=97
Sum of quadrilateral inner degrees:360
(360-2x97)/2=b=c=83
Step-by-step explanation:
9.85 less than the product of 37 and w
Answer:
you did not give wat you wanted us to do so I would say 9.85- (37*w)
HELP PLS QUICK ILL GUVE BRAINLIEST <3
Answer: -3/2/3
Step-by-step explanation:
Suppose that 12 inches of wire costs 60 cents.
At the same rate, how many inches of wire can be bought for 25 cents?
Answer:
5 inches of wire.
Step-by-step explanation:
60/12 = 5
So at .05 an inch, you can afford 5 inches at 25 cents
Please mark brainliest!
Graph the system of equations. y = 2x y = –x + 6 Two lines on a coordinate plane that intersect at the point 2 comma 4. One line has y intercept 0 and the other has y intercept 6. Two lines on a coordinate plane that intersect at the point negative 2 comma negative 4. One line has y intercept 0 and the other has y intercept negative 6. Two lines on a coordinate plane that intersect at the point 1 comma 2. One line has y intercept 0 and the other has y intercept 3. Two lines on a coordinate plane that intersect at the point 3 comma 3. One line has y intercept 0 and the other has y intercept 6.
The solution to the systems of equations graphically is (2, 4)
Solving the systems of equations graphicallyFrom the question, we have the following parameters that can be used in our computation:
y = 2x
y = -x + 6
Next, we plot the graph of the system of the equations
See attachment for the graph
From the graph, we have solution to the system to be the point of intersection of the lines
This points are located at (2, 4)
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When James has five apples and he gives Aliya one apple how many apples does he have left
Answer: He has 4 apples left.
Step-by-step explanation:
5-1=4
(hope this helps)
Answer:4
Step-by-step explanation: James had 5 apples which later he gave one to aliya so 5-1 is 4
Classify the conic section and write its equation in standard form. Then graph the equation. 36. 9x² - 4y² + 16y - 52 = 0
The major axis is along the y-direction, and the minor axis is along the x-direction. The center of the hyperbola is (0, 2).
The given equation is 9x² - 4y² + 16y - 52 = 0. To classify the conic section and write its equation in standard form, we need to complete the square for both x and y terms.
Starting with the x terms, we have 9x². Dividing through by 9, we get x² = (1/9)y².
For the y terms, we have -4y² + 16y. Factoring out -4 from the y terms, we have -4(y² - 4y). Completing the square inside the parentheses, we add (4/2)² = 4 to both sides, resulting in -4(y² - 4y + 4) = -4(4).
Simplifying further, we have -4(y - 2)² = -16.
Combining the x and y terms, we obtain x² - (1/9)y² - 4(y - 2)² = -16.
To write the equation in standard form, we can multiply through by -1 to make the constant term positive. The final equation in standard form is x² - (1/9)y² - 4(y - 2)² = 16.
This equation represents a hyperbola with a horizontal transverse axis centered at (0, 2). The major axis is along the y-direction, and the minor axis is along the x-direction. The center of the hyperbola is (0, 2).
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Paula wins three-quarters of her tennis matches. She loses the rest. What is the ratio of wins to losses?
Answer: 3:1
Step-by-step explanation:
I really need help please
Answer:
p<-12/5
Step-by-step explanation:
Answer:
Multiply each term in \(-\frac{5}{6}p > 2\) by \(-\frac{6}{5}\) to eliminate the fractions.
Inequality form:
\(p < \frac{-12}{5}\)
Interval Notation:
(-∞, \(-\frac{12}{5}\) )
the arizona department of health wants to compare teen birth rates in rural areas to those in urban areas. they randomly select 5/13 rural counties and 1/2 urban counties and look at vital records data from these locations to obtain teen birth rates. what type of sampling method did they use? group of answer choices stratified convenience systematic cluster
Arizona Department of Health used a option (d) cluster sampling method to obtain data on teen birth rates in rural and urban areas.
Sampling is a crucial technique used in research to obtain data that accurately represents the population of interest.
The Arizona Department of Health randomly selected 5/13 rural counties and 1/2 urban counties to obtain the data on teen birth rates. This type of sampling method is called a cluster sampling method. In cluster sampling, the population is divided into smaller groups, called clusters, and a random sample of clusters is selected.
Cluster sampling is often used when it is impractical or too costly to sample individuals from the population.
It reduces costs and time required to obtain the required data. In this case, if the department chose to sample each individual from the rural and urban areas, it would have taken a lot of time and resources to obtain the data.
Therefore, selecting a few clusters from each area provides a representative sample, which saves both time and resources.
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The price of a mobile phone was £980.
In a sale the price is reduced by 25%.
On the final day the sale price is reduced by a further 8%.
How much is saved in total by buying the mobile phone on the final day
of the sale?
Answer:
Amount saved = £ 303.80
Step-by-step explanation:
Original Price = £980
After 25% discount :
\(980 - (25 \% \times 980) = \£ 735\)
On the final day further discount of 8%.
That is ,
\(735 - (8 \% \times 735) = \£ 676.20\)
Total savings if buying on the final day of sale = 980 - 676.20 =£303.80
90 marbles were stored in two boxes, box A and box B. After 5 marbles were moved from box A to box B, both boxes had the same number of marbles. How many numbers were in box A orginally?
Answer: There were 50 marbles in box A, and 40 in box B.
Step-by-step explanation:
90 divided by 2 is 45, so each box would have to end up with 45 marbles. 5 were transferred between the 2, from A to B, which means A had more originally.
Answer: Hope this helps!
Step-by-step explanation:
90 marbles
Box A 50
Box B 40
So if 5 from Box A were moved to Box B they would each have 45 marbles!
45+45=90
1 is 25% of what number?
Answer:
4
Step-by-step explanation:
your trolling right?