Answers
Answer:
Problem
Solution
Solve for the missing components of the triangle.
A
=
69.62591065
B
=
65.69947977
C
=
44.67460956
a
=
18
b
=
17.5
Related Questions
The combined City / Highway fuel economy of a 2016 Toyota 4runner 2wd 6-cylinder 4-L automatic 5-speed using regular gas is a normally distributed random variable with a range of 21mpg to 26mpg ANSWER BOTH A AND B
Answers
a sample size of at least 73 is needed to estimate the mean of the combined City/Highway fuel economy of the 2016 Toyota 4runner 2wd 6-cylinder 4-L automatic 5-speed using regular gas with 98% confidence and an error of 0.25 mpg.
How to solve questions?
A. To estimate the standard deviation of the combined City/Highway fuel economy of the 2016 Toyota 4runner 2wd 6-cylinder 4-L automatic 5-speed using regular gas, we can use the empirical rule for normal distribution. The empirical rule states that for a normally distributed random variable, about 68% of the values fall within one standard deviation of the mean, about 95% of the values fall within two standard deviations of the mean, and about 99.7% of the values fall within three standard deviations of the mean.
The range of the combined City/Highway fuel economy of the 2016 Toyota 4runner 2wd 6-cylinder 4-L automatic 5-speed using regular gas is 21 mpg to 26 mpg. We can estimate the mean by taking the average of the range:
Mean = (21 + 26) / 2 = 23.5 mpg
We can estimate the standard deviation by using the empirical rule. Since we know that about 68% of the values fall within one standard deviation of the mean, we can estimate the standard deviation as half the range that covers about 68% of the values:
Standard Deviation ≈ (26 - 21) / 4 = 1.25 mpg
B. To find the sample size needed to estimate the mean with 98% confidence and an error of 0.25 mpg, we can use the formula for the sample size:
n = (zα/2 * σ / E)²
where:
n is the sample size
zα/2 is the z-score corresponding to the desired confidence level, which is 2.33 for 98% confidence (from the standard normal distribution table)
σ is the population standard deviation, which we estimated in part A to be 1.25 mpg
E is the desired margin of error, which is 0.25 mpg
Substituting the values, we get:
n = (2.33 * 1.25 / 0.25)²
n = 72.96
Since we cannot have a fraction of a person in our sample, we round up to the next integer and get:
n = 73
Therefore, a sample size of at least 73 is needed to estimate the mean of the combined City/Highway fuel economy of the 2016 Toyota 4runner 2wd 6-cylinder 4-L automatic 5-speed using regular gas with 98% confidence and an error of 0.25 mpg.
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12th grade stat and prob !!!!
Answers
Answer:
The 1st one .
Step-by-step explanation:
Which of the following sets of ordered pairs represents a function?
{(−3, −3), (−2, −2), (−1, −1), (0, 0), (1, 1)}
{(−3, −3), (−3, −2), (−3, −1), (−3, 0), (−4, −1)}
{(−3, −3), (−3, −1), (−1, −2), (−1, −1), (−1, 0)}
{(−3 −3), (−3, 0), (−1, −3), (0, −3), (−1, −1)}
Answers
The 1st one/Top one.
X value is different each time. Function can have the same y-value (3, 1), (2, 1) but can't have the same x-value (3, 1) (3, 3)
What numbers add up to 3 but multiply 18
Answers
Answer:
the two numbers that add up to 3 but multiply to 18 are 6 and -3.
Step-by-step explanation:
We can start by using algebra to solve for the two numbers. Let x and y be the two numbers we are looking for. Then we can write two equations:
x + y = 3 (since the numbers add up to 3)
xy = 18 (since the numbers multiply to 18)
We can solve for one of the variables in terms of the other using the first equation. For example, we can solve for y:
y = 3 - x
Then we can substitute this expression for y into the second equation:
x(3 - x) = 18
Expanding the left side and simplifying, we get:
3x - x^2 = 18
Rearranging and factoring, we get:
x^2 - 3x + 18 = 0
(x - 3)(x - 6) = 0
Therefore, either x = 3 or x = 6. If x = 3, then y = 3 - x = 0, which doesn't work since we want two numbers that multiply to 18. So the two numbers are x = 6 and y = 3 - x = -3.
So the two numbers that add up to 3 but multiply to 18 are 6 and -3.
Write the equation of the line:
(-8,6); slope = 1/4
Answers
will mark brainliest!!! direct vs inverse variation
Answers
A direct variation graph shows a linear relationship between two variables, where the value of one variable is directly proportional to the value of the other variable.
What is graph?Graph is a data structure that is used to represent relationships between pieces of information. It consists of nodes (also known as vertices) and the connections (also known as edges) between the nodes. A graph can be used to represent a wide variety of relationships, such as the relationship between people, places, and things. Graphs are used to store information in a way that is easy to access and manipulate.
In an inverse variation graph, the value of one variable is inversely proportional to the value of the other variable. This means that as one variable increases, the other variable decreases, and vice versa. In an inverse variation graph, the graph is curved rather than linear, and the equation is typically of the form y=k/x, where k is a constant.
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A box of cards has 12 birthday cards. Each card weighs 2 ounces. How much do the 12 cards weigh?
A. 1 pound 4 ounces
B. 1 pound 8 ounces
C. 2 pounds 4 ounces
D. 2 pounds 8 ounces
Answers
Answer:
B. 1 pound, 8 ounces!
Step-by-step explanation:
12 x 2ounces =24 ounces
16 ounces is one pound so 24-16=8 ounces left over. 1 pound, 8 ounces
A fair coin is tossed (heads or tails) 8 times. What is the probability that the coin will land "heads" exactly 4 out of the 8 times?
Answers
Answer:
P = 0.273
Explanation:
The probability to get exactly 4 heads can be calculated using the binomial distribution because we have n identical events with a probability p of success. So, we can use the following equation:
\(P(x)=\text{nCx }\cdot p^x\cdot(1-p)^{n-x}\)Where n is the number of times that the coin is tossed, x is the number of heads and p is the probability to land heads.
Additionally, nCx is calculated as:
\(\text{nCx}=\frac{n!}{x!(n-x)!}\)So, replacing n by 8, x by 4, and p by 0.5, we get:
\(8C4=\frac{8!}{4!(8-4)!}=70\)\(\begin{gathered} P(4)=70\cdot0.5^4\cdot(1-0.5)^{8-4} \\ P(4)=70\cdot0.5^4\cdot0.5^4 \\ P(4)=0.273 \end{gathered}\)Therefore, the probability that the coin will land heads 4 times is 0.273
Danny’s home cost $350,000. If the federal government program for flood damage insurance covers only $150,000, what percent of the total value does this represent?
Answers
Amount of $150,000 represents 42.86% of $350,000.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Danny’s home cost $350,000. The federal government program for flood damage insurance covers only $150,000.
Assume that it represents [x%] percent of the total value. Then, we can write -
x = (150000/350000) x 100
x = 42.86%
Therefore, $150,000 represents 42.86% of $350,000.
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A financial transaction that is added to a ledger balance is called a credit
Please select the best answer from the choices provided
OT
OF
Answers
Answer:
OT
Step-by-step explanation:
added to so true
Answer:
true
Step-by-step explanation:
If a track has 219 miles and takes 108 minutes to get there. Is the average speed 104 miles per hour
Answers
Answer:
122 miles per hour.
Step-by-step explanation:
Time:108 min ÷60 =1.8 hours
Speed = distance /time = 219/1.8 =122 miles per hour.
Hope this helps..
Answer:
No its 121.67 mph.
Step-by-step explanation:
Speed in miles per minute is 219/108 miles per minute
To convert to miles per hour we multiply by 60:
= 219 * 60 / 108
= 121.67 m p h.
Herman took out a loan for $8,500 at a rate of 8% for a term of 10 years. How much interest will he pay on the loan?
Answers
Answer:
Monthly loan payment is $400.76 for 60 payments at 7.5%.
Step-by-step explanation:
69 POINTS FOR THIS AND PLSSSS ANSWER IT RIGHT. How can the area of this triangle be determined by forming a rectangle?
Select from the drop-down menus to correctly complete the statements.
Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is
Choose...
units. The width of the rectangle is
Choose...
units. The area of the rectangle is
Choose...
square units.
The area of the triangle is half the area of the rectangle, so the area of the triangle is
Choose...
square units.
Answers
Answer:
Copy the triangle. Rotate it 180° clockwise. Place it on top of the original triangle so that their diagonals are touching.
This will form a rectangle with length of 9 units and width of 2 units.
Area of a rectangle = width x length
= 2 x 9
= 18 square units
Given the area of the triangle is half the area of the rectangle,
⇒ area of triangle = 18 ÷ 2 = 9 square units
The temperature was 8°C then the temperature feel 9°C what was the temperature after it fell?
Answers
Answer:
-1°C
Step-by-step explanation:
8°C - 9°C = -1°C
Hope it helps
Which value is a solution to this equation?
0=x^2-3x-4
Answers
Answer:
(x+1)(x-4)
x=-1, x=4
Step-by-step explanation:
the factors of -4x^2
x and -4x
the sum of x-4x= -3x
I took my photo of my work. Hope this helps!
i need someone smart that is good at math to do my homework i will pay you 10$ a week
Answers
Answer:
i'll help
Step-by-step explanation:
email corporatewriters4
An amount increased by 10% to 517.
What was the original amount?
Answers
Answer:
470
Step-by-step explanation:
x is the amount that represents 100 %
517 amount that represents 100%+10% increase = 110%
x = (517 *100) / 110 = 470 is the original amount
What is the value of x?
O 20
(x + 40)
(3x)
R
O 35
w
O 60
S
070
Answers
Answer:
Hello! answer: 20
Step-by-step explanation:
These are vertical angles meaning they will have the same measure so... 20 + 40 = 60 20 × 3 = 60 therefore x = 20 hope that helps!
In the given scenario, the value of x is 20. The correct option is A.
What is parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. This means that opposite sides of a parallelogram are parallel and congruent, and opposite angles are congruent as well.
To find the value of x in the given diagram, we need to use the fact that the opposite sides of a parallelogram are equal in length.
Therefore, we can set the expressions for the opposite sides equal to each other and solve for x:
x + 40 = 3x
Simplifying the equation, we get:
40 = 2x
Dividing both sides by 2, we get:
x = 20
Therefore, the value of x is 20.
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the dimension of the confirms room or 7.2 M * 11 M what is the area of the conference room
Answers
Step-by-step explanation:
Just multiply the two dimensions to get m^2 area
7.2 m * 11 m = 79.2 m^2
NEED HELP! no links as answer pls
The starting temperature at 6AM was - 2 degrees * F . Over a period of four hours, the temperature rose 3 degrees , rose another 2 degrees , dropped 4 degrees , and then dropped another 1 degrees . What was the temperature after those four hours?
Needs Expression also btw
Answers
You do +3 +2 -4 -1 which equals to 0. Then you do 0 plus -2 which equals -2*F.
T/F. A triangle is an equilateral triangle if and only if it's equiangular.
O
True
False
Answers
Answer:
true
Step-by-step explanation:
Function f is an increasing exponential function that is negative on the interval (-∞, 2) and positive on the interval (2, ∞). Which could be the graph of function f?
Answers
Answer:
An exponential function is a function in the form of f(x) = bx or y = bx (if we wish to express the function in terms of y instead of f(x)), where b > 0, b ≠ 1 and x is a ... the interval (-∞, ∞) is because any real number can be put in for x the function f(x) ... zero and negative numbers are not part of the range is because any positive
Step-by-step explanation:
NEED DONE ASAP
An 80° angle is bisected. What is the measure of the two smaller angles formed?
A 160°
B 20°
C 80°
D 40°
Answers
Answer:
C: 80
Step-by-step explanation:
Place the compass with same radius open at B to draw an arc meeting the previous arc. Produce an arm from this point to bisect the angle previously drawn.
Which equation represents a line with slope
of 2/3 and y-intercept -6?
Answers
Answer:
\(y=\frac{2}{3} x-6\)
Step-by-step explanation:
Find the slope of the line that passes through (-15, 76) and (17, 25).
Answers
Given data:
The first point given is (-15, 76).
The second point given is (17, 25)
The expression for the slope of the line passing through the given points is,
m=(25-76)/(17+15)
=-51/32
Thus, the slope of the line passing through the given points is -51/32.
A barn that holds hay for the cows is shown below. If you see the hay for $1.50 per cubic foot, how much money could
you make if the barn is completely full?
Answers
If the price of 1 cubic foot of hay is $10 then the money needed is $15.
Given the price of 1 cubic foot of hay be $10 and the amount of hay be $1.50.
We are required to find the amount of money needed to buy the hay.
We know that the amount of money that can be spend on something is the product of price of one unit and number of units.
Product is the result when two numbers are multiplied with each other.
Total money =Price of 1 cubic foot*$1.50
=10*1.50
=$15
Hence if the price of 1 cubic foot of hay is $10 then the money needed is $15.
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Question is incomplete, the right question is as under:
1.5 cubic foot hay is required to fill a room completely. Calculate the amount we have to pay to fill the room completely if the price of 1 cubic foot is $10?
The point G(-5, -1) is reflected over the line y= -3. What are the coordinates of the resulting point, G’
Answers
The coordinates of the resulting point after the reflection are (-5, -5)
What are the coordinates of the resulting point?
When we do a reflection over a given line, the perpendicular distancee between the line and the point is invariant.
In this case, we want to reflect the point (-5, -1) over the line y = -3
The distance between the y-value of the point and the line is:
D = |-1 - (-3)| = | -1 + 3| = 2
The point is at 2 units (above) from the line, then after the reflection, the point will be 2 units below the line.
So the new y-value is:
y = -3 - D = -3 - 2 = -5
The coordinates of the resulting point are (-5, -5).
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Select the all numbers below which are rational numbers. 22.060060006... 4.622 √2.56 √61 11 2 -71 1.375 3.14159... > Submit Question
Answers
The rational numbers in the given list are 22.060060006..., 4.622, √2.56, 11, 2, -71, 1.375.
What is a fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Rational numbers are the ones that can be expressed as the ratio of two integers.
22.060060006...: This is a repeating decimal, which can be expressed as 2206/100. Therefore, it is a rational number.
4.622: This is a terminating decimal, which can be expressed as 4622/1000. Therefore, it is a rational number.
√2.56: This can be simplified as √256/100, which is 16/10. Therefore, it is a rational number.
√61: This is an irrational number since it cannot be expressed as a ratio of two integers.
11: This is a rational number since it can be expressed as 11/1.
2: This is a rational number since it can be expressed as 2/1.
-71: This is a rational number since it can be expressed as -71/1.
1.375: This is a terminating decimal, which can be expressed as 11/8. Therefore, it is a rational number.
3.14159...: This is an irrational number since it is a non-repeating, non-terminating decimal.
Therefore, all the rational numbers are given above.
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-1 < 4x + 3 < 7
solve for x
Answers
Answer:
-1 <x< 1
Explanation:
Add -3 to both sides
Divide all parts by 4
I'LL MARK THE BRAINLIEST!
What is the best approximation of the area of a circle with a diameter of 17 meters?
Use 3.14 to approximate pi.
Answers
the best approximation of the area of the circle with a diameter of 17 meters is approximately 226.99m².
Why it is and what is diameter?
The diameter of the circle is 17 meters, which means the radius is half of the diameter, or 8.5 meters.
The formula for the area of a circle is:
A = πr²2
where A is the area and r is the radius.
Substituting the value of the radius into the formula, we get:
A = 3.14 x 8.5²2
A = 3.14 x 72.25
A ≈ 226.99
Therefore, the best approximation of the area of the circle with a diameter of 17 meters is approximately 226.99 m².
In geometry, the diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. It is the longest chord (a line segment connecting any two points on a circle) of the circle, and it divides the circle into two equal halves, also known as hemispheres.
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