Answers
Answer:
angle 1 = 124
angle 2 = 56
angle 3 = 124
angle 4 = 56
Step-by-step explanation:
This problem is a bit like a puzzle. To make notation easier I'm going to do this:
angle 1 = a
angle 2 = b
angle 3 = c
angle 4 = d
Now, let's start with what we know from the image.
All angles added together form a circle or 360 degrees
a + b + c + d = 360
In the same regard a + d = 180, and b + c = 180
Also,
a = c
and
b = d
It also tells us angle 4 is 25 degrees greater than one fourth of angle 1. Which is written as.
d = 1/4(a) + 25
If we look at all the equations we have, we can see that two of the equations have two of the same variables:
a + d = 180
and
d = 1/4(a) + 25
Using substitution we can take the second equation substitute it for d in the first equation giving us:
a + (1/4(a) + 25) = 180
Now we just solve for a
[tex]\frac{4}{4} a+ \frac{1}{4} a + 25 = 180\\\\\frac{5}{4}a + 25 = 180 \\\\(\frac{5}{4}a + 25) - 25 = (180) -25\\\\\frac{5}{4} a = 155\\\\\frac{5}{4} a * \frac{4}{5} = 155 * \frac{4}{5}\\\\a = 124[/tex]
Therefore a, or angle 1, is 124
Since a = c, then c, or angle 3, is also 124
Since a + d = 180 and a = 124 then
d = 180 -124
d = 56
So, d, or angle 4, is 56
And because b = d then b, or angle 2, is also 56
a = 124
b = 56
c = 124
d = 56
For extra measure, we can check our work by using the first equation
a + b + c + d = 360
124 + 56 + 124 + 56 = 360
Related Questions
The marginal PMFs for two INDEPENDENT random variables are given as follows 1/8 x = -1 Px(x) 1/2 = 0 3/8 1 = X = X = - py(y) = Py = 5/16 y=-1 9/16 y=0 1/8 = y = 1 a) Find the joint PMF for X, Y
Answers
The joint PMF for X, Y is given by the following table:
x\y 5/128 9/128 1/64 5/32 9/32 1/16 15/128 27/128 3/64
The joint probability mass function (PMF) of two discrete random variables is a function that maps each pair of outcomes of the random variables to a probability. In particular, the joint PMF gives the probability that the random variables take a certain pair of values on each trial. Therefore, we have to find the probability that the random variables X and Y take each of the six possible values.
Therefore, the joint PMF for X, Y is given as follows:
For x = -1 and y = -1,P(X = -1, Y = -1)
= P(X = -1)P(Y = -1)
= (1/8)(5/16)
= 5/128
For x = -1 and y = 0,P(X = -1, Y = 0) = P(X = -1)P(Y = 0)
= (1/8)(9/16)
= 9/128
For x = -1 and y = 1,P(X = -1, Y = 1) = P(X = -1)P(Y = 1)
= (1/8)(1/8)
= 1/64
For x = 0 and y = -1,P(X = 0, Y = -1) = P(X = 0)P(Y = -1)
= (1/2)(5/16)
= 5/32
For x = 0 and y = 0,P(X = 0, Y = 0) = P(X = 0)P(Y = 0)
= (1/2)(9/16)
= 9/32
For x = 0 and y = 1,P(X = 0, Y = 1) = P(X = 0)P(Y = 1)
= (1/2)(1/8)
= 1/16
For x = 1 and y = -1,P(X = 1, Y = -1) = P(X = 1)P(Y = -1)
= (3/8)(5/16)
= 15/128
For x = 1 and y = 0, P(X = 1, Y = 0) = P(X = 1)P(Y = 0)= (3/8)(9/16)
= 27/128
For x = 1 and y = 1,P(X = 1, Y = 1) = P(X = 1)P(Y = 1)
= (3/8)(1/8)
= 3/64
Therefore, the joint PMF for X, Y is given by the following table:
x\y 5/128 9/128 1/64 5/32 9/32 1/16 15/128 27/128 3/64
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A Gallup poll conducted in November 2010 found that 493 of 1050 adult Americans believe it is the responsibility of the federal government to make sure all Americans have healthcare coverage.
Use Minitab Express to construct the following confidence intervals. Report your answers as decimals (not percents) rounded to three decimal places, where applicable.
a) We are 95% confident that the proportion of all adult Americans who believe it is the responsibility of the federal government to make sure all Americans have healthcare coverage is between ____ and ____
b) We are 99% confident that the proportion of all adult Americans who believe it is the responsibility of the federal government to make sure all Americans have healthcare coverage is between _____ and ____
Answers
The sample proportion is calculated by dividing the number of individuals who believe it is the responsibility of the federal government (493) by the total number of adult Americans surveyed (1050).
a) For the 95% confidence interval, we use the formula: Sample proportion ± Z * (Standard error). The value of Z is determined by the desired confidence level. In this case, for a 95% confidence level, Z is the critical value corresponding to a two-tailed test. By plugging in the values, we can calculate the lower and upper limits of the interval.
b) Similarly, for the 99% confidence interval, we use the same formula but with the appropriate critical value for a 99% confidence level.
Using Minitab Express or statistical tables, we can find the critical values and compute the confidence intervals.
Hence, the 95% confidence interval represents our level of confidence that the true proportion of adult Americans who believe it is the responsibility of the federal government to provide healthcare coverage lies within the reported interval. Similarly, the 99% confidence interval provides a higher level of confidence in capturing the true proportion.
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Luis rolled a number cube 60 times. He rolled the number 6 four times. Which is most likely the cause of the discrepancy between Luis’s experimental outcome and the predicted outcome?
Answers
The radius of a circle is 1 meter. What is the area?
r=1 m
Give the exact answer in simplest form.
Answers
Step-by-step explanation:
Area of Circle =
[tex]\pi {r}^{2} \\ = \pi( {1}^{2} ) \\ = 1\pi \\ = \pi {m}^{2} [/tex]
Find the perimeter of the triangle.
A) 20
B) 51
C) 12 + 74
D) 12 + 47
Answers
Find the characteristic c using a 64-bit long real equivalent decimal number -147 with mantissa f = 0.1484375
Answers
Characteristic 'c' using a 64-bit long real equivalent decimal number -147 with mantissa 'f' = 0.1484375, the number can be expressed as -1.48 x 10^2. The characteristic 'c' is the exponent of the power of 10. Therefore, the characteristic 'c' is -2.
The scientific notation representation of a real number is given by 'm x 10^c', where 'm' is the mantissa and 'c' is the characteristic. In this case, we have a 64-bit long real equivalent decimal number -147 with mantissa 'f' = 0.1484375. The number can be written as -1.48 x 10^2.
To determine the characteristic 'c', we look at the exponent of the power of 10. In this case, the exponent is 2. However, since the number is negative, the characteristic is also negative. Therefore, the characteristic 'c' is -2.In summary, for the given number -147 with mantissa 0.1484375, the characteristic 'c' is -2.
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please help!!!!!!!!!
Answers
Explanation: the question asks for the maximum profit so you look for the highest point and check the x value for it.
Hope this helped! :)
on number 6 what should i color in
Answers
Answer:
For 5/11 shade in the third bubble (0.45 repeating)
What is the center? (X +3)^2+(y-11)^2=49
Answers
Answer:
I don't know the answer I am sorry I really need points to ask a important question sorry you can report me if you want but I want you to know that I really points
HELPPPPPPPP
What is the value of x in the triangle?
Answers
Answer:
82
Step-by-step explanation:
it's very easy the answer is 82
Answer:
65°+75°+x°=180°(sum of an angle of triangle is 180°
or, 140°+x°=180°
or, x°=180°-140°
therefore,x°=40°
In the circus, a tiger has been trained to jump through a ring of fire that has a diameter of 6 feet. What is the ring's circumference?
Answers
Answer:
Radius is going to be 3 since half of the diameter is the radius.
Formula of a circumference you must remember:
2πr
(2 x pie (3.14 or 22/7) x your given radius or have of the diameter.
2 x 3.14 x 3 = 18.84
I just need the answer if you don’t have a real answer but want to say something just comment it
Answers
Answer:
80??
Step-by-step explanation:
What is the answer ? I need help
Answers
Answer:
-42
Step-by-step explanation:
What are the difference and similarities between a quadratic function and its transformation?
Answers
But both can have y-intercepts, x-intercepts, and can be graphed on a 2-dimensional plane. However, other than that, there may not be a lot of similarities.
A standard quadratic function is of the form ()=2++
f
(
x
)
=
a
x
2
+
b
x
+
c
and has the shape of a parabola, while a linear function is of the form ()=+
f
(
x
)
=
a
x
+
b
and is just a line.
7.5K viewsView upvotes
2
Related Questions (More Answers Below)
Find the length of side x in simplest radical form with a rational denominator.
Answers
Answer:
since it is Right angled isosceles triangle it's base side are equal
by using Pythagoras law
x²+x²=1²
2x²=1
x=√{1/2}or 0.707 or 0.71
Consider the graph of the function f(x)=logx.
Match each transformation of function f with a feature of the transformed function.
Answers
Transformation of function f with a feature of the transformed function.
g(x)=-f(x-3) is vertical asymptote of x=3j(x)= f(x+3) is x-intercept of (-2,0)h(x)=3f(x)-3 is domain of (0, ∞)What is asymptote?An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique
Given function is : f(x)= log x
g(x)= -f(x+3)= - log(x+3)g(x)=-f(x-3) is vertical asymptote of x=3
j(x)= f(x+3) = log (x+3) thenj(x)= f(x+3) is x-intercept of (-2,0)
Domain: As (0,∞),{x | x>0}h(x)=3f(x)-3 is domain of (0, ∞)
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Answer:
Step-by-step explanation:
The full weight of a brand of a pack of sweet potato fries is a random variable with µ = 350 g and σ= 4.1 8. Assume that you pick a random pack from the population.
a. Find the proportion of packs that contain less than 340 g?
b. How likely is it for a pack to contain 330 g?
Answers
The proportion of packs that contain less than 340g is approximately 0.0918 or 9.18%. The likelihood of a pack containing exactly 330g cannot be determined without additional information.
To find the proportion of packs that contain less than 340g, we need to calculate the z-score and use the standard normal distribution table. The Calculating z-score:
z = (x - µ) / σ
Where x is the value we want to find the proportion for (in this case, 340g), µ is the mean (350g), and σ is the standard deviation (4.18g).
Substituting the values, we have:
z = (340 - 350) / 4.18 ≈ -2.39
Next, we look up the corresponding z-score in the standard normal distribution table. The area to the left of -2.39 represents the proportion of packs that contain less than 340g. Consulting the table, we find that the area is approximately 0.0091 or 0.91%.
Therefore, the proportion of packs that contain less than 340g is approximately 0.0918 or 9.18%.
To determine the likelihood of a pack containing exactly 330g, we need more information. Specifically, we would need the probability density function (PDF) of the distribution to calculate the exact likelihood. Without the PDF, we cannot determine the likelihood of a specific weight like 330g.
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HELP NO LINKS JUST ANSWER DUE TODAY
Answers
This is because to get from 10 to 4 you divide to get a scale image. 10 divided by 4 = 2.5. So to get the same scale length on the other side of the triangle you divide the side length of 11 by 2.5 which = 4.4
I hope this helps! Good luck on your homework!
0.4=x/11
x=0.4•11
x=4.4
help
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plsss
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Answers
Answer:
1 is E 2 is C
Step-by-step explanation:
15 is equal to or less than 6x
Factor 2x^2 - 3x = 2x - 2............Please?
Answers
Answer:
X = 1/2, 2
Step-by-step explanation:
= (2x-1)(x-2)
Answer:
OK I DON'T KNOW IF THIS IS IT BUT THE ANSWER IS POSSIBLY 0??? AND IF I DOESN'T WORK I'M SORRY
Step-by-step explanation:
PLEASE HELP FAST WILL GIVE BRAINLIEST
Answers
Answer:
The answer is 25 degree because there is ( 8x-1)
Which value below represents the solution to 64 = 4u
Answers
Answer:
You didnt write the options
Answer:
u=16
Step-by-step explanation:
64=4u
divide both sides by 4
16=u
Suppose that the average time a fully charged 6-volt laptop battery will operate a computer is 4.6 hours and follows the exponential probability distribution. Determine the following probabilities.
a) Determine the probability that the next charge will last less than 1.9 hours.
b) Determine the probability that the next charge will last between 2.9 and 4 hours.
c) Determine the probability that the next charge will last more than 5 hours.
(Round to four decimal places as needed.)
Answers
(a) 0.3694 is the probability that the next charge will last less than 1.9 hours. (b) 0.2344 is the probability that the next charge will last between 2.9 and 4 hours. (c) 0.3830 the probability that the next charge will last more than 5 hours.
To solve these probabilities, we need to use the exponential probability distribution formula. The formula for the exponential distribution is:
[tex]P(X \leq x) = 1 - e^{-\lambda x}[/tex]
where,
λ is the rate parameter, and
x is the variable representing the duration.
Given that the average time a fully charged 6-volt laptop battery will operate a computer is 4.6 hours, we can find the rate parameter (λ) by taking the reciprocal of the average:
λ = 1 / 4.6
Now let's calculate the probabilities:
a) Determine the probability that the next charge will last less than 1.9 hours.
Using the exponential distribution formula:
[tex]P(X \leq 1.9) = 1 - e^{(-\lambda \times 1.9)}[/tex]
[tex]P(X \leq 1.9) = 1 - e^{(-\frac{1}{4.6} \times 1.9)}[/tex]
[tex]P(X \leq 1.9) = 1 - e^{(-0.4130)}[/tex]
P(X ≤ 1.9) ≈ 0.3694 (rounded to four decimal places)
Therefore, the probability that the next charge will last less than 1.9 hours is approximately 0.3694.
b) Determine the probability that the next charge will last between 2.9 and 4 hours.
Using the exponential distribution formula:
P(2.9 ≤ X ≤ 4) = P(X ≤ 4) - P(X ≤ 2.9)
[tex]P(2.9 \leq X \leq 4) = [1 - e^{(-\lambda \times 4)}] - [1 - e^{(-\lambda \times 2.9)}][/tex]
[tex]P(2.9 \leq X \leq 4) = [1 - e^{(-\frac{1}{4.6} \times 4)}] - [1 - e^{(-\frac{1}{4.6} \times 2.9)}][/tex]
P(2.9 ≤ X ≤ 4) ≈ 0.2344 (rounded to four decimal places)
Therefore, the probability that the next charge will last between 2.9 and 4 hours is approximately 0.2344.
(c) Determine the probability that the next charge will last more than 5 hours.
Using the exponential distribution formula:
P(X > 5) = 1 - P(X ≤ 5)
[tex]P(X > 5) = 1 - [1 - e^{(-\lambda \times 5)}][/tex]
[tex]P(X > 5) = 1 - [1 - e^{(-\frac{1}{4.6} \times 5)}][/tex]
P(X > 5) ≈ 0.3830 (rounded to four decimal places)
Therefore, the probability that the next charge will last more than 5 hours is approximately 0.3830.
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Help pls homework!! Sorry if I’m wasting time.
Answers
Answer:
Blanks top to bottom: 6^2, 36, 9, 108, 101
Step-by-step explanation:
Use PEMDAS which stands for parentheses, exponents, multiplication, division, addition, and subtraction. Listed in this specific order, you must look and solve for each one first, starting with parentheses.
4.
12 × ((4+2)^2/4) - 7
Solve for inside of parentheses first:
12 × ((6)^2/4) - 7
12 × (36/4) - 7
12 × 9 - 7
108 - 7
101
The temperature in your town is 31°F. The radio announcer says that the temperature will drop 15 degrees. What will the temperature be? Write an equation to show how you found your answer
welp me pls
( T﹏T ) ( T﹏T ) ( T﹏T ) ( T﹏T )
Answers
Answer: 16° F
Step-by-step explanation:
30-15=16
Multiply and combine like terms. Use^ for exponents. (3x+1)(2x^2 -9x+5)
Answers
Answer:
[tex]6x^{3} -25x^{2} +6x+5[/tex]
Step-by-step explanation:
Here is my question.
Answers
Answer: True False True true
Step-by-step explanation:
Answer:
true
false
true
true
Step-by-step explanation:
!!!!!!!!!! !!!!!!!!!!!!
Answers
Answer:
B
Step-by-step explanation:
6.5 * 24 = 156
Therefore B
Which of the following inequalities has the graphed solution below?
zzGroup of answer choices
x − 1 ≥ 0
x − 1 ≤ 0
x + 1 ≥ 0
x + 1 ≤ 0
Answers
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Answer:
B
Step-by-step explanation:
Sarah's house is not shown in graph