Answers
Supplementary angles- equal 180º
That little box in the corner of the figure indicates 90º, meaning it will be formed by complementary angles
So, to find xº, subtract the known angles from the total 90
90-29 = 61º
Thus, xº is 61º
Related Questions
Yesterday, the price of a gallon of gas at five gas stations was $3.56, $3.71,
$3.62, $3.93, and $3.83, respectively, but today each gas station raised it:
price by $0.08. What is today's mean price of a gallon of gas at the five
stations?
O A. $3.81
O B. $3.65
O C. $3.89
O D. $3.73
Answers
Answer:
c
Step-by-step explanation:
The mean price of a gallon of gas at the five stations is $3.81. Therefore, option A is the correct answer.
What is mean?In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).
Given that, Yesterday, the price of a gallon of gas at five gas stations was $3.56, $3.71, $3.62, $3.93, and $3.83, respectively.
Today each gas station raised its price by $0.08
Now, mean =(3.56+3.71+3.62+3.93+3.83+5×0.08)/5
= (18.65+0.4)/5
= 19.05/5
= $3.81
Therefore, option A is the correct answer.
To learn more about an arithmetic mean visit:
https://brainly.com/question/15196910.
#SPJ2
There are 7 women and 9 men with a chance to be on a game show. The producer of the show is going to choose 7 of these people at random to be contestants. What is the probability that the producer chooses 4 women and 3 men? Round your answer to three decimal places.
Answers
Answer:
147/572
Step-by-step explanation:
The number of combinations of n things chosen r at a time is
[tex]\binom{n}{r}=\frac{n!}{r!(n-r)!}[/tex] (Some writers use the symbol [tex]_nC_r[/tex])
Choose 4 women from the 7:
[tex]\binom{7}{4}=\frac{7!}{4!(7-4)!}=35[/tex] ways
Choose 3 men from 9:
[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=84[/tex] ways
There are 35 x 84 = 2940 ways to choose both, out of
[tex]\binom{16}{7}=\frac{16!}{7!(16-7)!}=11440[/tex] ways to choose any 7 people from the group of 16.
Probability:
[tex]\frac{2940}{11440}=\frac{147}{572}[/tex]
P.S. As an example of how to calculate combinations, here's the calculation (by hand, a calculator is easier!) of [tex]\binom{9}{3}[/tex].
[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=\frac{9!}{3!6!}[/tex]
When you write out the factorials, you can do a bunch of cancellation between the numerator and denominator.
[tex]\frac{9\cdot8\cdot7\cdot\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1}}{(3\cdot2\cdot1)(\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1)}}=\frac{9\cdot8\cdot7}{3\cdot2\cdot1}=84[/tex]
People visiting video rental stores often rent more than one DVD at a time. The probability distribution for DVD rentals per customer at Video To Go is given in the following table. There is a five-video limit per customer at this store, so nobody ever rents more than five DVDs.
x P(x)
0 0.05
1 0.49
2 0.25
3
4 0.08
5 0.03
Describe the random variable X in words.
a. X is the number of DVDs a customer rents.
b. X is the number of times a single customer comes into the store.
c. X is the number of DVDs a customer owns.
d. X is the total number of DVDs rented at the store.
e. X is the number of customers that come into the store
Answers
Answer:
a. X is the number of DVDs a customer rents.
Step-by-step explanation:
The distribution states that:
0.05 = 5% probability a customer rents no DVDs
0.49 = 49% probability a customer rents 1 DVD
...
0.03 = 3% probability a customer rents 5 DVDs.
Thus, the random variable X is the number of DVDs a customer rents, and the correct answer is given by option A.
How many solutions do the systems of equations have?
y =-1/3 x + 9
y =- 2/6x
Answers
Explanation:
The slopes are the same (-1/3 is the same as -2/6 because -2/6 can be simplified to -1/3) but the y intercepts are different.
Please answer this question!!!!!
Answers
Since this is a parallelogram then the values of the angles is 360 degrees
The opposite angles are equal so
360-(74x2) = 212
So y=212/2=106 degrees
Now for z
5z-24 + 74= 180
5z=130
Z= 26 degrees
notice 74. and how its supplementary angle is y, or in other words 106.
the angle (5z - 24) is the same as 106, so u would solve the equation
5z - 24 = 106 (to solve for z.)
z = 26
y= 106
A salesperson uses random digit dialing to call people and try to interest them in applying for a charge card for a large department store chain. From past experience, she is successful on 2% of her cals. in typical working, she makes 50 calls. Let X be the number of calls on which she is unsuccessful.
a. This is binomial distribution. Explain using the BINS method why this is so.
b. Find the mean and standard deviation of X. Leave answer to 4 d.p
c. Find the probablity of P(X>or equal to 48)
Answers
Answer:
a)
In this question, for each call, there are only two possible outcomes, either it is successful, or it is not, so binary outcomes. For each call, the probability of a success or failure is the same, which means that the trials are independent, having the same value of p. And the number of trials, which is 50, is fixed. This means that this is a binomial distribution.
b) The mean is 1 and the standard deviation is 0.9899.
c) [tex]P(X \geq 48) = 0[/tex]
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
From past experience, she is successful on 2% of her calls.
This means that [tex]p = 0.02[/tex]
50 calls.
This means that [tex]n = 50[/tex]
a. This is binomial distribution. Explain using the BINS method why this is so.
BINS: Binary outcomes, Independent Trials, n is fixed, and same value of p for all trials.
In this question, for each call, there are only two possible outcomes, either it is successful, or it is not, so binary outcomes. For each call, the probability of a success or failure is the same, which means that the trials are independent, having the same value of p. And the number of trials, which is 50, is fixed. This means that this is a binomial distribution.
b. Find the mean and standard deviation of X.
The mean is:
[tex]E(X) = np = 50*0.02 = 1[/tex]
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.02*0.98} = 0.9899[/tex]
The mean is 1 and the standard deviation is 0.9899.
c. Find the probablity of P(X>or equal to 48)
This is:
[tex]P(X \geq 48) = P(X = 48) + P(X = 49) + P(X = 50)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 48) = C_{50,48}.(0.02)^{48}.(0.98)^{2} \approx 0[/tex]
[tex]P(X = 49) = C_{50,49}.(0.02)^{49}.(0.98)^{1} \approx 0[/tex]
[tex]P(X = 50) = C_{50,50}.(0.02)^{50}.(0.98)^{0} \approx 0[/tex]
So
[tex]P(X \geq 48) = 0[/tex]
I need help on this question
Answers
Answer:
11. Volume = 2181.2mm^3
12. Surface Area = 1204.49mm^2
Step-by-step explanation:
We first need to find the hypotenuse side of the triangle using the Pythagorean theorem:
a^2+b^2 = c^2
13.3^2+20.5^2 = c^2
176.89+420.25 = c^2
597.14 = c^2
24.44 = c
Now we can find the volume using the formula:
V = 1/4(16)sqrt-13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2
-20.5^4+2(20.5*24.44)^2-24.44^4
V = 2181.2mm^3
To find the surface area using the surface area formula:
A = (13.3*16)+(20.5*16)+(24.44*16)+1/2sqrt
13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2
-20.5^4+2(20.5*24.44)^2-24.44^4
A = 1204.49mm^2
Which measure would change if you replaced 67 with 115
23, 89, 15, 67, 32, 41
A. Lower quartile
B. Mean
C. Mode
D. Median
HELP PLEASE!
Answers
As this value is greater than 67 and the highest number in original sequence
The questions on a multiple choice test have four answer choices.
Which of the following models could you use to simulate the outcome of guessing the correct answers to a 50-question test?
(HINT: Remember to choose a model with the same number of possible outcomes as each test question.)
Group of answer choices
A. flipping a coin 50 times
B. spinning a spinner with 4 equal sections 50 times
C. rolling a 6-sided die 50 times
D. spinning a spinner with 50 equal sections four times
Answers
Answer: spinning a spinner with 4 equal sections 50 times
Step-by-step explanation:
The models that one can use to simulate the outcome of guessing the correct answers to a 50-question test will be to spinn a spinner with 4 equal sections 50 times.
Flipping a coin 50 times is wrong since the coin only has two outcomes which are head and tail. Rolling a 6-sided die 50 times is also wrong.
Therefore, the correct option is B.
Based on the family the graph below belongs to, which equation could represent the graph?
Answers
Answer:
its A
Step-by-step explanation:
just took the test
Answer:
The first graph on edge 2021
Find X. Please show steps, thank you.
Answers
Answer:
C=10
Step-by-step explanation:
The difference between six and a number is two
Answers
Answer:
4.
Step-by-step explanation:
the difference means -.
between a number means use a variable (x) to substitute. so now you have the difference between x and 6 is to. is just means equals so you would set it up like this 6-x=2. you can make this easier by just asking yourself. what number plus 2 equals six? the answer would be 4. 4+2=6-->6-4=2.
Which of the following lists all prime numbers between 6 and 18?
Answers
Given parallelogram ABCD Find the area
Answers
Answer:
Area = ab sinx
Area = (8)(18) sin32
Area = 144 sin32
Area = 79.41
A machine at a graphic design studio produces paper labels for juice bottles. This graph represents the number of labels produced over time.
Zoom in if you cannot see!
Don’t answer if you don’t know the answer. Whoever gets the correct answer will get Brainliest! :)
Answers
Answer:
Option B, would be the correct answer: 75 labels per minute
Step-by-step explanation:
The number of labels produced per minute would be a constant value which would be the slope of this graph represented above.
Slope = [tex]\frac{rise}{run}[/tex]
Slope = [tex]\frac{150}{2}[/tex]
Slope = 75
Hope this helps!
GIVING BRANLIEST ! NEED HELP! PLEASE
The probability that a birth will result in twins is 0.017. Assuming independence (perhaps not a valid assumption), what is the probability that out of 120 births in a hospital, there will be exactly 4 sets of twins?
The probability that there will be exactly 4 sets of twins is?
Answers
Answer:
0.0939 = 9.39% probability that there will be exactly 4 sets of twins.
Step-by-step explanation:
For each birth, there is only two possible outcomes. Either it results in twins, or it does not. The probability of a birth resulting in twins is independent of any other birth. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability that a birth will result in twins is 0.017.
This means that [tex]p = 0.017[/tex]
120 births:
This means that [tex]n = 120[/tex]
The probability that there will be exactly 4 sets of twins is?
This is P(X = 4).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{120,4}.(0.017)^{4}.(0.983)^{116} = 0.0939[/tex]
0.0939 = 9.39% probability that there will be exactly 4 sets of twins.
A polynomial with a degree of 3
Example: x^{3} +7
Answers
Answer:
[tex]x^{3}-5x^{2}+2x+8[/tex]
(Will give branliest if correct)
Mr. Potter is reviewing his 2018 property taxes Use the tax form to complete the statements below.
All I need is the total property tax I don't know how to solve for it.
So my question is how do I find total property tax with the total value of property and total percent rate it just the answer.
So if the total value is 300000
and the percent rate is 1.2 what is the total property tax.
(
Answers
Answer:
I think its 3,600... plz let me know if I'm wrong
Step-by-step explanation:
300,000 x 0.012 or %1.2 (they're the same thing) = 3,600
The data in the table represents the value of a savings account at the end of each year for 6 years. The relationship between the increasing years and the increasing value of the account is exponential.
Answers
Answer:
1. Constant multiplicative.
2. 1.05.
Step-by-step explanation:
Their savings increase by 1.05x every year.
Help pls :)....................
Answers
Answer:
(19,1/2)
Step-by-step explanation:
you can put any number in the x coordinate as long as y is the same .
The first 4 terms of a 10-term geometric series are listed below. Which expression represents the sum
of the series?
16
25
8 + 4 + 10 +...+ 210
5
Answers
Given:
First 10 term of a geometric series are:
[tex]\dfrac{16}{25}+\dfrac{8}{5}+4+10+...+a_10[/tex]
To find:
The expression that represents the sum of the series.
Solution:
The first term of the given geometric series is:
[tex]a_1=\dfrac{16}{25}[/tex]
The common ratio of the given geometric series is:
[tex]r=\dfrac{a_2}{a_1}[/tex]
[tex]r=\dfrac{\dfrac{8}{5}}{\dfrac{16}{25}}[/tex]
[tex]r=\dfrac{8}{5}\times \dfrac{25}{16}[/tex]
[tex]r=\dfrac{5}{2}[/tex]
The sum of first n terms of a geometric sequence is:
[tex]S_n=\dfrac{a_1(1-r^n}{1-r}[/tex]
Where r is the common ratio.
Putting [tex]a_1=\dfrac{16}{25},r=\dfrac{5}{2},n=10[/tex] in the above formula, we get
[tex]S_{10}=\dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right)[/tex]
Therefore, the correct option is C, i.e., [tex]\dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right)[/tex].
Answer:
the answer is option c or 16/25 ( 1 - ( 5/2 )^10 / 1 - 5/2)
Step-by-step explanation:
Find the equation of the straight line passing through the point (3, 5)
which is perpendicular to the line
y = 3x + 2
Answers
Answer:
y = -1/3x + 6
Step-by-step explanation:
the slope is -1/3 because you find the the reciprocal and switch the sign. To find the y intercept you plug in the points to the equation.
5 = -1/3(3) + b
5 = -1 + b
6 = b
In the line plot, how many more students live 2 miles from school than students that live 1 mile from school?
Answers
Answer:
3 more students
Step-by-step explanation:
6-3=3
How did you get that?
6 students live 2 miles away, while only 3 students live 3 miles away. To find the difference, subtract the two numbers.
Twice the sum of a number
and -8.
Answers
Answer:
2x-8 is there more to the question?
Thomas counts the number of cars he sees in the parking lot of the school each hour of the day. He counted the following number of cars the first four hours of the day.
•12 cars the first hour
•24 cars the second hour
•36 cars the third hour
•48 cars the fourth hour
What is true of the function Thomas wrote that represents the number of cars as a function of the number of hours, h? Select all that apply.
Answers
I don’t know if you’re asking that?? I can’t really understand.
What is the area of the triangle?
A triangle with a base of 45 inches, height of 33 inches, and side length of 45 inches.
123 inches squared
742.5 inches squared
1,012.5 inches squared
1,485 inches squared
Answers
First multiply 45 x 33 (BxH) then divide by 2
Answer:
742.5 inches squared
Step-by-step explanation:
What is the area of the triangle?
A triangle with a base of 45 inches, height of 33 inches, and side length of 45 inches.
123 inches squared
742.5 inches squared
1,012.5 inches squared
1,485 inches squared
What is 31.83098862 to the nearest square inch ? Please help
Answers
Answer:
32
Step-by-step explanation:
The number to the right of the decimal is higher than 5, meaning you would round up.
Which of the following are examples of irrational numbers? Select all that apply.
V4 + V16
15+ 36
√9+ /24
2.v4
49.81
Answers
Answer:
A rational number is a number that can be expressed as a fraction (ratio). This includes whole numbers, square roots that can be solved evenly, negatives, decimals, and repeating decimals that can be solved with a fraction. An irrational number is a number that is NOT rational. It's the complete opposite!
= 2 + 4 = 6 ↔ rational
= 2 * 2 = 4 ↔ rational
= 7 + 9 = 16 ↔ rational
Hope this helps!!
Find Mn to the nearest tenth
Answers
Answer:
B. 23.8
Step-by-step explanation:
Use the formula c = \sqrt a^2+b^2﹣2abcosy (squareroot the whole thing)
c = length of side you are finding
a = length of side a
b = length of side b
y =angle opposite c
my math grade currently is a 96%. i get a 55% on a math test. the weight of the test is 50% of my grade. what would my grade be?
Answers
Answer:
h
Step-by-step explanation:
g