Answers
The value of w in Angle (w + 1)° is 88
Given,
Angle (w + 1)°
Angle 91°
We have to find the value of w.
Here,
Linear pair of angles;
When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.
Then,
Here the given angles are linear pair.
So,
(w + 1)° + 91 = 180
w + 1 + 91 = 180
w + 92 = 180
w = 180 - 92
w = 88
Then,
Angle (w + 1)° = 88 + 1 = 89°
Therefore,
The value of w in Angle (w + 1)° is 88
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Related Questions
Can somone solve this with a reason why they chose the answer
Answers
Check the picture below.
Gabrielle picked 5 5/6 pounds of berries. She divided them evenly among 7 containers. How many pounds of berries did Gabrielle put in each container?
Answers
The pounds of berries that Gabrielle put in each container, given the pounds of berries she picked, are 5/6 pounds
How to find the pounds of berries?Gabrielle was able to pick 5 ⁵/₆ pounds of berries. First convert this to an improper fraction for easier calculations:
= 5 ⁵/₆
= ((6 x 5) + 5) / 6
= 35 / 6
The pounds of berries that went into each container is:
= Pounds of berries / Number of containers
= 35 / 6 ÷ 7
= 35 /6 x 1/7
= 35/42
= 5/6 pounds
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what is the goal of a confidence interval? select one: a. to create a larger sample b. to provide a range of values that are reasonable for the parameter of interest c. to determine if the data can refute an assumption about a parameter or population d. to give a strong statement about a statistic
Answers
The goal of a confidence interval is to provide a range of values that are reasonable for the parameter of interest. So the correct option is (A).
The goal of a confidence interval is to provide a range of values that is reasonable for the parameter of interest. The confidence interval is based on the sample data and the level of confidence. The level of confidence is the probability that the confidence interval contains the true value of the parameter.
The confidence interval is calculated using the sample mean, the sample standard deviation, and the level of confidence. The confidence interval is calculated by adding and subtracting the margin of error from the sample mean. The margin of error is the product of the critical value and the standard error. The critical value is based on the level of confidence. The standard error is the standard deviation of the sampling distribution.
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Henry showed all the steps he took to solve the equation.
4 (negative one-half x + 7) + 5 x = 15
Step
Simplified Expression
1
-Negative 2 x + 28 + 5 x = 15
2
3 x + 28 = 15
3
3 x = 15
4
x = 5
Sammy tried to verify the solution by substituting x = 5 back into the original equation. It did not result in a true statement. Which explains why Henry’s solution is incorrect?
Answers
Answer:
Step 3 is wrong. If 3x+28=15, then 3x= 15-28
SOMEONE ANSWER QUICKK. Use the picture attached to solve #1!!!
1. What patterns do you notice in the table? Use complete sentences
2. Explain the relationship between the number of sides of the polygon, and the number of non-overlapping triangles in the polygon.
3.Explain the relationship between the number of sides of the polygon and the sum of the interior angles. Use complete sentences.
Answers
1. The patterns regarding the polygons are given as follows:
The number of non-overlapping triangles on a polygon of n sides is of n - 2.The sum of the interior angles of a polygon of n sides is: (n - 2) x 180º.For regular polygons, the measures of each interior angle is: [(n - 2) x 180º]/n.The sum of the exterior angles of any polygon is: 360º.The measure of each exterior angles for each regular polygon is: 360º/n.2. The relationship between the number of sides of the polygon, and the number of non-overlapping triangles in the polygon is:
The number of non-overlapping triangles in the polygon is two less than the number of sides.
3. The relationship between the number of sides of the polygon and the sum of the interior angles is:
The sum of the interval angles of a triangle is given by the multiplication of 180º and the number of non-overlapping triangles in the polygon.
How to obtain the patterns?The patterns in the context of this problem are all obtained from the last row of the table, and they are all axioms for polynomial relations.
For item 2, the relationship is given by the third column of the last row, and for item 3, by the fourth column.
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There is one negative solution and two nonreal solutions to the equation x3 + 87 = 7x2 + x. What are the solutions?
3, 5 + 2i, 5 – 2i
3, –5 + 2i, –5 – 2i
–3, 5 + 2i, 5 – 2i
–3, –5 + 2i, –5 – 2i
Answers
The solution of the equation is -3, 5+2i, 5-2i
What is solution of equation?
The solution of an equation is the array of all values that, when replaced for unknowns, make an equation true. For equations requiring one unknown, raised to a power one, two basic algebra rules involving the additive property and the multiplicative property are used to decide its solutions.
given equation is [tex]x^3+87=7x^2+x[/tex]
we can write it as
[tex]x^3+7x^2+x+87=0[/tex]
solving this cubic equation, we get
(x+3)(x2-10x+29)=0
x = -3 is the first root of the equation.
x2-10x+29 = 0
x =(-b±√b2-4ac)/2
x =(10±√-16)/2
x =5±2i
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An isosceles triangle has perimeter 50cm and each of the equal
sides is 15 cm. find the area of triangle
Answers
Answer:
hope this will help you..
The midpoint of
AB
is M(-3, 2). If the coordinates of A are (−1,−3), what are the coordinates of B?
Answers
Answer:
AM=M-A
-3 -1. -2
2 -. -3. = 5
-3. -2. -5
2. +. 5. =. 7
Which equation is a point slope form equation for line AB?
A. y−2=2(x+2)
B. y−2=−2(x+6)
C. y−6=−2(x+2)
D. y−2=−2(x+2)
Answers
The equation of the line in point slope form is (c) y - 6 = -2(x + 2)
How to determine the line equation?The graph represents the given parameter
On the graph, we have the following points
(x, y) = (2, -2) and (-2, 6)
The slope of the line is then calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (2, -2) and (-2, 6)
Substitute the known values in the above equation
So, we have the following equation
m = (6 + 2)/(-2 - 2)
Evaluate
m = -2
The equation of a line can be represented as
y - Y = m(x - X)
Where
Slope = m = -2
(X, Y) = (-2, 6)
So, we have
y - 6 = -2(x + 2)
Hence, the line has an equation of y - 6 = -2(x + 2)
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Solve tan 9°
=x/2.6
Give your answer to 2 d.p.
Answers
Answer:
x= 0.41
Step-by-step explanation:
tan 9° =[tex]\frac{x}{2.6}[/tex]
x= 2.6 tan9° (cross multiply)
x= 0.41 (solve trignomatic function)
a random sample of college basketball players had an average height of 66.35 inches. based on this sample, (65.6, 67.1) found to be a 94% confidence interval for the population mean height of college basketball players. select the correct answer to interpret this interval
Answers
Based on the data the correct interpretation of the interval is that we are 94% confident that the population mean height of college basketball players is between 65.6 and 67.1 inches. (Option B)
In statistics, a confidence interval indicates the probability that a population parameter will lie between a set of values around the population mean. It measures the degree of certainty or uncertainty in a sampling method. It is a range of values which are bounded above and below the statistic's mean that likely would contain an unknown population parameter. Confidence level is the percentage of certainty or probability of the confidence interval would include the true population parameter when a random sample is repeatedly drawn. Hence, in the given case based on the information we are 94% confident that the population mean height of college basketball players is between 65.6 and 67.1 inches.
Note: The question is missing options which are A. We are 94% confident that the population mean height of college basketball players is 66.35 inches. B. We are 94% confident that the population mean height of college basketball players is between 65.6 and 67.1 inches. C. A 94% of college basketball players have heights between 65.6 and 67.1 inches. D. There is a 94% chance that the population mean height of college basketball players is between 65.6 and 67.1 inches.
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For each of the 4 stroke categories, consider a random variable representing the time of a randomly selected swimmer in that category. What is the standard deviation of the sum of the 4 random variables?.
Answers
The standard deviation of the sum of the 4 random variables is 10.23
The question is incomplete the complete question is
For each of the 4 stroke categories 2,4,6,8 consider a random variable representing the time of a randomly selected swimmer in that category is 0.6,0.8,0.2,0.7. What is the standard deviation of the sum of the 4 random variables?.
To calculate the Expected Value, we need to multiply each value by its probability and then sum the products up.
μ = E(x) = ∑xp(x)
That is, (0.6x2) + (0.8x4) + (0.2x6) + (0.7x8) = 1.2 + 3.2 + 1.2 + 5.6 = 11.2
Mean = 11.2
Now we take the first and second steps,
(2- 11.2)² x 0.6 = 84.64 x 0.6 = 50.78
(4 - 11.2)² x 0.8 = 51.84 x 0.8 = 41.47
(6 - 11.2)² x 0.2 = 27.04 x 0.2 = 5.4
(8 - 11.2)² x 0.7 = 10.24 x 0.7 = 7.16
Now we take the the third step and add our products together to get the variance V,
V = σ2 = ∑(x−μ)2P(x)
V = 50.78 + 41.47 + 5.4+ 7.16 = 104.81
Now we take the last step by taking the square root of the variance to get the standard deviation SD,
SD = σ = √σ2
Standard Deviation SD = √104.81 = 10.23
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Finding Angle Measures When Parallel Lines Are Cut By a Transversal
Answers
Answer:
<3, < 6, <7 are all 102,
<1, <4, <5 and <8 are all 78
Step-by-step explanation:
If you slide angles 1, 102, 3 qnd 4 down along p, they will fit perfectly over 5,6,7 and 8. So if you find the top four angles, you have found the bottom 4 angles.
<3 is a vertical angle to 102 and vertical angles always have the same measurement.
Angles 1 and 4 are supplemental to 102. That means that the two angles will add to 180. 180 - 102 = 78
PLEASE HELP!!!
find the missing length indicated for each
Answers
Using the triangle proportionality theorem, the missing lengths that are indicated are:
1. 35
2. 14
3. 28
4. 18
What is the Triangle Proportionality Theorem?The triangle proportionality theorem states that when a line is drawn to be parallel to any side of a triangle that it intersects two of the side of the triangle at two different points, then the two sides are divided proportionally or in the same ratio.
Apply the triangle proportionality theorem to find all the missing length that are indicated. Let the missing side be represented as x.
Problem 1:
x/28 = 15/12
x = (28)(15)/12
x = 35
Problem 2:
x/28 = 6/(18 - 6)
x/28 = 6/12
x/28 = 1/2
x = 28/2
x = 14
Problem 3:
x/35 = 12/(12 + 3)
x/35 = 12/15
x/35 = 4/5
x = (35)(4)/5
x = 28
Problem 4:
x/54 = 8/24
x/54 = 1/3
x = 54/3
x = 18
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please help
One side of a triangle is 1 inch longer than the shortest side and is 1 inch shorter than the longest side. The perimeter is 17 inches. Find the dimensions of the triangle.
Answers
Answer: [tex]4\frac{2}{3} in;[/tex] [tex]5\frac{2}{3} in;[/tex] [tex]6\frac{2}{3} in[/tex]
find the annual salary of a person who is $835.50 per week and show working for the answer for this question
Answers
Answer:
43446
Step-by-step explanation:
52 weeks in an year
835.5*52
= 43446
40. a sample of size 100,000 is selected from a population with p 5 .75. a. what is the expected value of p? b. what is the standard error of p? c. show the sampling distribution of p. d. what does the sampling distribution of p show?
Answers
Answer are
a) The Excepted value (p-hat) of p is 0.57
b) The Standard error of p is 0.05
c) Sampling distribution of p is Normal distribution
d) E(p-hat) = 0.57 , σ(p-hat) = 0.05
Excepted value or "p-hat" is defined as the ratio of number of succes in any sample or event to the total the size of sample . It is also known as sample proportion.
P-hat = X/ N
we have given that,
Sample size (N) = 100
Probability of an event occuring (p) or population proportion = 0.57
The Excepted value of sample proportion i.e p-hat is equal to population proportion i.e p
a) so, excepted value of p = 0.57
b) Standard error of p-hat is equal to square roots of product of p and (1-p) divided by sample size .
Standard error of p- hat = √p(1-p)/n
= √0.57 × 0.43/100= 0.05
c) Sampling distribution of sample mean is normal distribution using central limit theorem.
d) Sampling distribution of p shows
E(p-hat) = 0.57
σ(p-hat) = 0.05
Hence, we get all the required values of excepted value of p , standard error of p , distribution of p.
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Find both unit rates.
They paid $96.88 for 8 pizzas.
Question 1 options:
$12.11/pizza and about 0.08 pizza/dollar
A: $12.11 pizza/dollar and about $0.08/pizza
B: $96.88/pizza and about 8 pizzas/dollar
C: 8 pizzas/dollar and about $96.88/pizza
Answers
Answer:
A
Step-by-step explanation:
The population of white-tailed deer i growing rapidly in the united tate. In 1905 the population wa approximately 5x10^5 and in 2000 the population wa approximately 2x10^7 how many time larger wa the population of white tailed deer in 2000 than it wa in 1905
Answers
The population of white tailed deer was increased by 40 times .
What are white tailed deer?
The medium-sized white-tailed deer is a native of North America, Central America, and South America as far south as Peru and Bolivia. It is often referred to as the white tail or Virginia deer.
Main body:
population of white tailed deer in 1905 = 5*10^5
population of white tailed deer in 2000 = 2*10^7
Population increase can be calculated by using simple division ,
calculating :
⇒ 2*10⁷/5*10⁵
⇒ 2*10⁽⁷⁻⁵⁾/ 5
⇒ 2*10²/ 5
⇒ 200/5
⇒ 40
Hence population increased by 40 times from 1905 to 2000 for white tailed deer.
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What is the correct form of scientific notation for 306 x 10^7
a.30.6 x 10^8
b. .306 x 10^10
c.
It is in the correct form!
d.3 x 10^9
e.3.06 x 10^9
Answers
The decimal place should be after only 1 digit so the answer is e
Use mental math to solve the equation.
4.
Z
= _5 (1 point)
-12
07
O-60
O-17
O 60
Answers
Using cross multiplication method we find out that the value of z is equals to 60. Therefore, the last option is correct.
The given equation is -
[tex]\frac{z}{-12}=-5[/tex]
We have to solve this equation.
Now,
[tex]\frac{z}{-12}=-5\\[/tex]
We have to use cross multiplication method to solve the given equation.
[tex]\frac{z}{-12}=-5\\\\= > z= (-5) (-12)\\= > z = 60[/tex]
Thus, by solving through cross multiplication method we find out that the value of z is equals to 60. Therefore, the last option is correct.
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25 PTS!!! NEED ANSWER WITHIN 5 MINS!!!!!!
Select the correct answer.
Which line has a y-intercept of 2 and an x-intercept of -3?
Answers
Answer:
W
Step-by-step explanation:
It intercepts the y at 2 and x at -3
Answer:
W.
Step-by-step explanation:
The y-intercept of 2 can be found on the vertical line ( up and down ) and the x-intercept of -3 can be found on the horizontal line ( left to right )
Therefore the answer would be graph W.
In math class ,60 percent of the student are male.There are 30 students in the class.How many students are males?
Answers
Can someone please help me? Thanks!!!
A triangle has a base length of 6ac² and a height 3 centimeters more than the base length. Find the area of the triangle if a = 2 and c = 3.
A. 3,078 cm²
B. 5,994 cm²
C. 2,025 cm²
D. 11,988 cm²
Answers
what operation appears to be "flipping" the sign?
Answers
An actual distance of 50km corresponds to 4 cm on the map
Answers
Answer:
Incomplete question.
Step-by-step explanation:
4 cm = 50 km
1 cm = 50/4 = 12.5 km
Use above ratio or
50 km = 4 cm
1 km = 4/50 = 0.08 cm
Caho needed to get her computer fixed. She took it to the repair tore. The
technician at the tore worked on the computer for 5 hour and charged her
$102 for part. The total wa $627. Write and olve an equation which can be
ued to determine 2, the cot of the labor per hour.
Answers
Answer:
105
Step-by-step explanation:
627-102=525
525 divided by 5 is 105
What’s the answer to this ?
Answers
1. The measure of angle H is 79 degrees
2. The measure of angle G is 54 degrees
What is isosceles triangle?
An isosceles triangle is one that has two sides of equal length.
The angles opposite to equal sides are equal.
1. Given is isosceles triangle
∠H=∠O = x
sum of all interior angles of a triangle= 180 degrees
22+x+x=180
2x+22=180
2x=158
x=158/2=79
So, ∠H=79
2. Given is isosceles triangle
∠D=∠O = 63
Let ∠G=x
sum of all interior angles of a triangle= 180 degrees
63+63+x=180
x+126=180
x=180-126=54
So, ∠G=54
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On a map, 1 inch represents a distance of 100 miles. Two towns are 6 inches apart on the map. What is the distance between the two towns?
Answers
Answer:
600 miles
Step-by-step explanation:
1 Inch = 100 Miles
6 Inches = 600 Miles
Find the two x intercept of the equation [tex]y=\frac{1}{2}(x+2)^2-4[/tex]
Answers
The two x intercept of the equation [tex]y=\frac{1}{2}(x+2)^2-4[/tex] is -2(√2+1) and 2(√2-1).
In the given question we have to find the two x intercept of the equation.
The give equation is [tex]y=\frac{1}{2}(x+2)^2-4[/tex].
We can find the x intercept by putting y=0. Then solving the equation for x.
Now putting y=0 in the given equation.
0= [tex]\frac{1}{2}(x+2)^2-4[/tex]
Add 4 on both side, we get
[tex]\frac{1}{2}(x+2)^2[/tex] = 4
Multiply by 2 on both side, we get
[tex](x+2)^2[/tex] = 8
Taking square root on both side, we get
x+2 = √8
x+2 = ±2√2
Subtract 2 on both side we get
x=±2√2-2
Taking 2 common
x=2(±√2-1)
Now the values of x
x={2(-√2-1), 2(√2-1)}
x={-2(√2+1), 2(√2-1)}
Hence, the two x intercept of the equation [tex]y=\frac{1}{2}(x+2)^2-4[/tex] is -2(√2+1) and 2(√2-1).
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