Answer:
The answer is 8.5 hope this helped.
the american college of obstetricians and gynecologists reports that 32% of all births in the united states take place by caesarian section each year. ( national vital statistics reports , mar. 2010). a. in a random sample of 1,000 births, how many, on average, will take place by caesarian section? b. what is the standard deviation of the number of caesarian section births in a sample of 1,000 births? c. use your answers to parts a and b to form an interval that is likely to contain the number of caesarian section births in a sample of 1,000 births
a. In a random sample of 1,000 births, the expected number of births that take place by Caesarian section is:
E(X) = n*p = 1,000 * 0.32 = 320 births
Therefore, on average, 320 births out of 1,000 will take place by Caesarian section.
b. The variance of the number of Caesarian section births in a sample of 1,000 births is:
Var(X) = np(1-p) = 1,000 * 0.32 * (1-0.32) = 217.60
The standard deviation is the square root of the variance:
SD(X) = sqrt(Var(X)) = sqrt(217.60) = 14.76
Therefore, the standard deviation of the number of Caesarian section births in a sample of 1,000 births is 14.76.
c. To form an interval that is likely to contain the number of Caesarian section births in a sample of 1,000 births, we can use the normal distribution and the central limit theorem. Since n*p = 320 is greater than 10, we can assume that the distribution of the number of Caesarian section births in a sample of 1,000 births is approximately normal.
The 95% confidence interval for the number of Caesarian section births is:
320 ± 1.96*(14.76) = (291.16, 348.84)
Therefore, we can be 95% confident that the number of Caesarian section births in a sample of 1,000 births will be between 291 and 349.
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Find the measure of angle f given the information below.
Answer:
53 degrees
Step-by-step explanation:
This is a transversal question (look at attached). Because the lines are parallel, g will equal to 180(a straight line is 180 degrees) - a. Then, because g + f + e = 180 (since it is a straight line), substitute the values that we know and solve. (61) + f +(66) = 180. f = 53
T/F: metrics reflect descriptive detail about outcomes or processes while analytics are strategies to combine data elements into metrics to examine relationships.\
Answer:
True
Step-by-step explanation:
A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. a private contractor charges $75 per hour to develop a logo plus a $100 supply fee. which equation can be solved to determine x, the number of hours after which the costs would be the same? 50x 250 = 75x 100 50 250x = 75 100x 50x 100 = 75x 250 50 100x = 75 250x
The equation that can be solved to determine x, the number of hours after which the costs would be the same is; 50x + 250 = 75x + 100
How to create Linear Equations?
The general formula for the slope intercept form of an equation is;
y = mx + c
We are told that;
Charge per hour = $50
Ownership rights = $250
Thus, for the first company, total cost is;
y = 50x + 250
For the second company;
Total cost is;
y = 75x + 100
Thus, at same cost, we have;
50x + 250 = 75x + 100
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Answer:
50x + 250 = 75x + 100
Step-by-step explanation:
I did the test
A rectangle is 1 cm more than twice its width. Find the dimensions of the rectangle if it’s area is 45 cm show all work
Answer:
Step-by-step explanation:
L=2W+1
A=L*W
A=(2W+1)*W=45
We have two mathematical solutions, but only one viable
2W^2+W=45
w=-5 not valid
w=4.5 cm valid solution
L=10cm
Danielle is facing towards town A, which is at a bearing of 300 degrees from her. If she turns 135 degrees clockwise, she will be facing towards town B. What is the bearing of town B from Danielle?
The required bearing angle of town B from Thomas is 75°.
We have,
Bearing is basically an angle that is measured clockwise from the north. Bearing are generally written in three figure.
Given that
Thomas is facing towards town A, which is at a bearing of 300°.
Implies that town A is 300° from north.
If Thomas turns 135° clockwise, then he faces towards town B,
The bearing angle will be 300+135 = 435°
Since, one complete round makes angle 360°, therefore
The required bearing angle = 435 - 360 = 75
The bearing angle of town B from Thomas is 75°.
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Evaluate the integral.
1
integral.gif
0
leftparen2.gif
5
1 + t2
j +
4t3
1 + t4
k
rightparen2.gif
dt
The value of the given integral is 20π/3.
We can evaluate the given integral by using the line integral formula for a vector field F(x,y,z) = <0,4t^3/(1+t^4),1/(1+t^2)>:
∫C F·dr = ∫∫S curl(F)·dS
Here, C is the curve given by the intersection of the plane z=5 and the cylinder x^2+y^2=1, oriented counterclockwise when viewed from above; S is the surface bounded by C and the plane z=0, oriented with upward-pointing normal; and curl(F) is the curl of the vector field F:
curl(F) = (∂Q/∂y - ∂P/∂z, ∂R/∂z - ∂Q/∂x, ∂P/∂x - ∂R/∂y) = (0, 0, -8t/(1+t^4)^2)
The surface S is a portion of the cylinder x^2+y^2=1 between z=0 and z=5, so we can use cylindrical coordinates to parametrize it:
r(t,z) = (cos(t), sin(t), z), where 0 ≤ t ≤ 2π and 0 ≤ z ≤ 5.
The normal vector to S is given by the cross product of the partial derivatives of r with respect to t and z:
n(t,z) = (∂r/∂t) × (∂r/∂z) = <-sin(t), cos(t), 0>
Now we can evaluate the line integral as follows:
∫C F·dr = ∫∫S curl(F)·dS
= ∫0^5 ∫0^2π (0,0,-8t/(1+t^4)^2)·(-sin(t),cos(t),0) r dz dt
= ∫0^5 ∫0^2π 8t/(1+t^4)^2 dt dz
= ∫0^5 4π/3 dz
= 20π/3
Therefore, the value of the given integral is 20π/3.
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Help, I’m stuck on this question
Answer: 33 degrees
Step-by-step explanation: Angle x=angle m
Answer:
the triangle on the left is named XYZ
the triangle on the right is named MNL
therefore ∠X ≅ ∠M, ∠Y ≅∠N, and ∠Z ≅ ∠L
since ∠X = 33º, then ∠M = 33º
hope this helps :)
which two describe an angle with a vertex at A check all that apply
A) ABC
B)CAB
C)BAC
D)ACB
The correct notations that describe an angle with a vertex at A are A) ABC and C) BAC.
An angle with a vertex at A can be represented by the following notations:
A) ABC - This notation represents an angle with the vertex at A and the rays AB and AC forming the sides of the angle.
B) CAB - This notation is not valid for representing an angle with the vertex at A. It suggests that the vertex is at C, not A.
C) BAC - This notation represents an angle with the vertex at A and the rays BA and BC forming the sides of the angle.
D) ACB - This notation is not valid for representing an angle with the vertex at A. It suggests that the vertex is at C, not A.
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given a sequence (an) of real numbers (starting at n = 1), say what is meant by the symbol Σan.
Σan represents the sum of terms an in a sequence indexed by n. It is a concise way to express the total sum of the sequence, starting from a specified initial value of n and adding up to a specified final value.
The symbol Σ, pronounced as "sigma," is used to represent the summation notation in mathematics. When we write Σan, it means we are summing up the terms of a sequence (an) starting from a specified initial value of n and continuing up to a specified final value.
To explain further, let's consider an example. Suppose we have a sequence (an) given by a1, a2, a3, ..., an. The summation Σan represents the sum of these terms:
Σan = a1 + a2 + a3 + ... + an.
The value of n can vary depending on the context or the problem at hand. It could be a fixed value, or it could be a variable that ranges over a certain set of values. The notation allows us to express the sum of a potentially infinite number of terms by indicating the pattern of the terms and the range of values for n.
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i do not know this answer
Answer:
K=(3,6)
Step-by-step explanation:
If you reflect it over the y-axis the first number will change to a positive and the second number will stay the same.
Hope this helps have a great day! :)
Find the distance between the points (10, 14) and (1,4) on a coordinate plane.
Sheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeesh
round off 3291 to the nearest 100
Answer:
3300
Step-by-step explanation:
A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.
C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.
In this case, Rule A applies and 3291 rounded to the nearest hundred is:
3300
Answer:
3,300
Step-by-step explanation:
Because rounding to the nearest 100 means hundred.
But so the rule is 5 or more raise the score 4 or less let it rest so the 2 is asking the 9 if he can get bumped up.
since the 9 is 5 or more it can raise the score so the 2 goes up to?
3 since 3 is the number right above 2
so your answer is 3,300 Hope this helps have a great day:)
Melanie surveyed 4 people to find out the ages of their cars and the distance they drive each day.
• Lara said her car is 4 years old, and that she drives 34 miles in the morning and 38 miles in the evening each day.
• Jamal said his car is 6 years old, and that each day he drives 56 miles total to go back and forth to work and 8 miles total to drive
his children to and from school.
• Cala said her car is 2 years old, and that she drives 18 miles each day.
. Ali said his car was 2 years old when he purchased it and that he's owned it for 6 years. He also said that he drives 7 miles to
school, 2 miles to soccer practice, and 6 miles back home each day.
Enter your answers in the boxes to complete the data table.
Answer:
2/13,140
4/105,120
6/40,832
8/35,100 or 6/23,400
Step-by-step explanation:
Cala's car is 2 years old, drives 18 miles per day times 365 days in a year times 2 years old is 13,140 miles in 2 years.
Lara's car is 4 years old, drives 72 miles a day times 365 days in a year times 4 years old is 105,120 in 4 years.
Jamal's car is 6 years old, drives 64 miles per day times 365 days a year times plus 56 miles a week times 52 weeks in a year times 6 years old is 40,832 in 6 years.
Ali's car was 2 years old when he got it 6 years ago. His car is 8 years old and he drives 15 miles per day times 52 weeks in a year for 5 days each week, times 6 years is 23,400miles in 6 years. If you average what he drives per year and add that to 23,400, the car has approximately 35100 miles in 8 years.
Which best describes word choice in an academic paper? it’s the internal structure, sequence of ideas, and unity of paragraphs. it’s the transitions that connect one body paragraph to another. it’s the rhythm and flow of the language, aided by sentence variation. it’s the use of precise, rich, and colorful language to convey ideas.
The term word choice in an academic paper refers to the use of precise, rich, and colorful language to convey ideas.
What is an academic paper?
An academic paper is a research work that aims at conveying ideas to a limited group of experts in a given field. As a result of that, the structure of the paper must be such that it could be recieved by a professional auidience.
The term word choice in an academic paper refers to the use of precise, rich, and colorful language to convey ideas.
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Answer: D
Step-by-step explanation: On EDG
If Elizabeth skates 2/3 mile in 2/9 hour how far does she skate in 1 hour?
Answer:
3 miles in a hour
Step-by-step explanation:
2/3÷2/9
=6/2
=3 miles in a hour
I need help I’m going to fail
Answer:b
Step-by-step explanation:
7(+5)=21
can you please help with math problem
what is the unit rate of gallons used per minute
for this question choose as many answers as are correct. if the earth reversed its direction of spin
For the given condition- If the earth reversed its direction of spin. Then,
The Sun will indeed rise in the west & set in the east, The stars would revolve clockwise around Polaris.The Moon will indeed rise westward and set eastward.What is spinning of Earth?The Earth is constantly in motion. Every day, the Earth completes one full rotation around its axis. The axis is an imaginary line that runs through the earth from the North Pole to the South Pole.
Some key features regarding the Earth's rotation are-
The sun appears to move across the sky as the Earth rotates, but it is actually the Earth that's also spinning. One rotation takes 24 hours hours to complete, which explains why there are 24 hours in a day.In the other words, if a sun is visible in the morning beginning around 6:00 AM, the Earth will have rotated completely approximately by the next morning at 6:00 AM, and you will see the sun in roughly the same location.To know more about rotation of earth, here
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The complete question is -
If you are standing at the Earth's North Pole.
For this question choose as many answers as are correct. if the earth reversed its direction of spin
Mr. JB has a rectangular lot that measures 550 meters by 550 km. What is the area of the land in square meter. He i selling the whole lot for 206,250,000 pesos how much is the price per square meter?
9514 1404 393
Answer:
15/22 peso/m^2 ≈ 0.68182 peso/m^2
Step-by-step explanation:
The area is the product of the dimensions. 1 km = 1000 m.
A = (550 m)(550·1000 m) = 302,500,000 m^2
The price per square meter is ...
206,250,000/302,500,000 peso/m^2
= 15/22 peso/m^2 ≈ 0.68182 peso/m^2
1. IfG = (V, E) is a simple graph (no loops or multi-edges) with |V| = n ≥ 3 vertices,
and each pair of vertices a, be V with a, b distinct and non-adjacent satisfies
deg(a) + deg(b) > n,
then G has a Hamilton cycle. (a) Using this fact, or otherwise, prove or disprove: Every connected undirected graph having
degree sequence 2, 2, 4, 4, 6 has a Hamilton cycle.
The statement to prove or disprove is whether every connected undirected graph with a degree sequence of 2, 2, 4, 4, 6 has a Hamilton cycle. A Hamilton cycle is a cycle that visits every vertex in the graph exactly once.
To determine if a graph has a Hamilton cycle, we can use the fact mentioned in the question: if for every pair of non-adjacent vertices a and b in the graph, the sum of their degrees is greater than or equal to the number of vertices, then the graph has a Hamilton cycle.
In the given degree sequence of 2, 2, 4, 4, 6, we can observe that for any pair of non-adjacent vertices, the sum of their degrees is always greater than 5 (the number of vertices). Therefore, according to the mentioned fact, we can conclude that the graph has a Hamilton cycle.
By following a constructive approach, we can visualize a Hamilton cycle in this graph. Starting from any vertex, we can traverse the graph, ensuring that each vertex is visited exactly once until we return to the starting vertex, forming a Hamilton cycle.
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The survey shows 300 teens that were surveyed, from ages 15-18, what their first choice would be for an elective in high school.
Out of 500 teens predict how many would choose Cooking 101
Based on the survey of 300 teens, we know that their first choice for an elective in high school was not Cooking 101. Therefore, we cannot accurately predict how many out of 500 teens would choose Cooking 101 without more information.
We would need to conduct a separate survey or have additional data on the preferences of the larger group of 500 teens to make an informed prediction. Based on the survey of 300 teens aged 15-18 and their first choice for a high school elective, you want to predict how many out of 500 teens would choose Cooking 101.
Since we don't have the actual percentage of teens who chose Cooking 101 in the initial survey, it is not possible to provide an accurate prediction for the number of teens out of 500 who would choose this elective. If you can provide the percentage or number of teens who chose Cooking 101 in the 300-teen survey, I can help you make the prediction.
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5x−4<10give your answer as an improper fraction in its simplest form.
The value of x as an improper fraction in its simplest form is 14/5.
To solve the inequality 5x - 4 < 10, we need to isolate x on one side of the inequality. First, we add 4 to both sides:
5x - 4 + 4 < 10 + 4
5x < 14
Then, we divide both sides by 5:
5x/5 < 14/5
x < 2.8
Therefore, the solution to the inequality is x < 2.8. However, the question asks for the answer as an improper fraction in its simplest form. To convert 2.8 to an improper fraction, we multiply both the numerator and denominator by 10 to get rid of the decimal:
2.8 * 10 / 1 * 10 = 28 / 10
To simplify the fraction, we divide both the numerator and denominator by their greatest common factor, which is 2:
28 / 10 = 14 / 5
Therefore, the answer is 14/5.
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Use the graph to write a linear function that relates y to x.
y=
Answer:
yo qui se wjjwjsksjsskkwksk sjskiamsmwi kwksjdskks kskwjsndnsn kskwkmdndjsksks
Answer:
This question is on big ideas math right?
What is the slope of (3,8) and (-12, -20)
Answer:
-28/-15 = 1.87
Step-by-step explanation:
to find the slope you do y1-y2/x1-x2
-20-8/-12-3
-28/-15
What assumption is made so that the pooled variance estimate can be substituted for the population variances within the standard error of the differences formula? the population variances are homogeneous the population variances are heterogeneous the sample sizes are equal the sample sizes are large
The correct answer is option A. The assumption that is made so that the pooled variance estimate can be substituted for the population variances within the standard error of the differences formula is that the population variances are homogeneous.
This implies that the variances of the two populations under comparison should be comparable.
For many statistical tests, including the t-test and ANOVA, homogeneity of variance is a crucial presumption. The pooled variance estimate is not a reliable substitute for population variances if the variances of the two populations are not equal.
Consequently, in order to apply the pooled variance estimate in the standard error of the differences formula, the homogeneity of variance assumption is required.
Complete Question:
What assumption is made so that the pooled variance estimate can be substituted for the population variances within the standard error of the differences formula?
A. The population variances are homogeneous
B. The population variances are heterogeneous
C. The sample sizes are equal
D. The sample sizes are large
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Can someone please help me with this?
Answer:
Answer Option C
Step-by-step explanation:
They make a big plus sign, PLUS=PERPENDICULAR
Five and one half minus 7
Answer:
- 1 1/2
Step-by-step explanation:
5 1/2 - 7 = - 1 1/2
r=6ft what is the volume of quarter sphere
The volume of a quarter sphere with a radius of 6ft is 36π ft³.
How to find volume of a sphere?What is the volume of a quarter sphere with a radius of 6ft?To find the volume of a quarter sphere, we need to calculate the volume of a full sphere and then divide it by 4.Then the formula for the volume of a sphere is given by:
V = (4/3) * π * r³
where V represents the volume and r is the radius.
Substituting the given value of r = 6 ft into the formula, we have:
V = (4/3) * π * (6 ft)³
V = (4/3) * π * 216 ft³
V ≈ 904.78 ft³ or V = 288π ft³
Since we are calculating the volume of a quarter sphere, we divide this result by 4:
Quarter Sphere Volume = 904.78 ft³ / 4
Quarter Sphere Volume ≈ 226.19 ft³ or 36 π ft³
Therefore, the volume of a quarter sphere with a radius of 36π cubic feet.
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