Answer:
D) 45.10°
Step-by-step explanation:
SohCahToa
From ∠0, you are given the adjacent and hypotenuse angle. Using SohCahTOa, you would know it is cosine because cosine is adjacent over hypotenuse. To find the angle, use inverse trigonometric ratios.
cos-1( 12/17 = 45.10
∠0 = 45.10°
Answer:
D
Step-by-step explanation:
In this equation, you can use arccos to find the angle. You are dealing with adjacent and hypotenuse so you use arccos.
Cos^-1(12/17) When using cosine it is adjacent over hypotenuse.
this will give the angle of 45.10 degrees
which linear is represented by the graph?
which of the following is the correct factorization of the trinomial below?
-7x^2 + 5x + 12
a. 7(x+1) (-x + 12)
b. -1 (7x - 12) (x+1)
c. (-7x + 12) (x - 1)
d. -7 (x - 6) (x+1)
Answer:
The answer is option B.
Hope this helps you
Answer:
The answer is B
Step-by-step explanation:
PLEASE ANSWER U NEED HELP!! determine which numbers The equations need to be multiplied by to form opposite terms of the y variable. 3x - 1/4y equals 15 2/3x - 1/6y equals 6 which number should be the first equation be multiplied by? which number should the second equation be multiplied by?
Answer:
4 -6
Step-by-step explanation:
have a great day!
Multiply the first equation by 2/3 and the second equation by -1.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
3x - (1/4)y = 15
(2/3)x - (1/6)y = 6
Multiply the equation 1 by 2/3, then we have
(2/3) · 3x - (2/3) · (1/4)y = (2/3) · 15
x - (1/6)y = 10
Multiply the equation 2 by -1, then we have
(-1) · (2/3)x - (-1) · (1/6)y = (-1) · 6
- (2/3) x + (1/6)y = - 6
Multiply the first equation by 2/3 and the second equation by -1.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ3
Pls help me I really need help
Answer:
26 - 7(n-1)
Step-by-step explanation:
subtract n times 7 from the start value.
But if we want to call the first term n=1, we have to subtract 1 from n.
Express the confidence interval 0.555 less than 0.777 in the form Modifying above p with caret plus or minus Upper E.
Complete Question
Express the confidence interval 0.555 less than p less than 0.777 in the form Modifying above p with caret plus or minus Upper E.
Answer:
The modified representation is [tex]\r p \pm E = 0.666 \pm 0.111[/tex]
Step-by-step explanation:
From the question we are told that
The confidence interval interval is [tex]0.555 < p < 0.777[/tex]
Now looking at the values that make up the up confidence interval we see that this is a symmetric confidence interval(This because the interval covers 95% of the area under the normal curve which mean that the probability of a value falling outside the interval is 0.05 which is divided into two , the first half on the left -tail and the second half on the right tail as shown on the figure in the first uploaded image(reference - Yale University ) ) which means
Now since the confidence interval is symmetric , we can obtain the sample proportion as follows
[tex]\r p = \frac{0.555 + 0.777}{2}[/tex]
[tex]\r p =0.666[/tex]
Generally the margin of error is mathematically represented as
[tex]E = \frac{1}{2} * K[/tex]
Where K is the length of the confidence interval which iis mathematically represented as
[tex]K = 0.777 -0.555[/tex]
[tex]K = 0.222[/tex]
Hence
[tex]ME = \frac{1}{2} * 0.222[/tex]
[tex]ME = 0.111[/tex]
So the confidence interval can now be represented as
[tex]\r p \pm E = 0.666 \pm 0.111[/tex]
What is the equation of a line that goes through the point (0, 2) and has a slope of 1?
Answer: y=x+2
Step-by-step explanation:
The slope-intercept equation is y=mx+b. The m is slope, and the b is the y-intercept. Since we are given the slope, we can fill it into m. We also know that the y-intercept is on the y-axis, meaning the x-coordinate is 0. The point we were given is (0,2). This means the y-intercept is 2. Our equation is y=x+2.
Answer:
y=x+2
Step-by-step explanation:
Slope intercept form is:
y=mx+b
where m is the slope and b is the y-intercept.
We know that this line has a slope of 1. Therefore, we can substitute 1 in for m.
y=1x+b
1x is equal to just x, so change 1x to x.
y=x+b
Now we must find the y-intercept, or b.
Y-intercepts are where the line crosses the y axis. The x-coordinate is always a 0.
Therefore, (0,y) is the coordinates of a y-intercept, and the "y" is the y-intercept.
We are given the point:
(0,2)
Since the x-coordinate is a 0, the y-intercept is 2. Substitute 2 in for b.
y=x+b
y=x+2
The equation of the line is y=x+2
Simplify the expression:
9a – 7a + 4 – 4 + 8
Answer:
2a + 8
Step-by-step explanation:
9a - 7a + 4 - 4 + 8
=> 2a + 12 - 4
=> 2a + 8
Can an expert solve this math question for me? Please show steps so I can understand... I would really appreciate it.
1/2x^2+4x + 1/x^3+2x^2 =
Answer:
[tex]\frac{1}{2x^2}[/tex]
Step-by-step explanation:
When you add fractions, the fractions must have common denominators.
Multiply the denominators together to get a common denominator.
(2[tex]x^{2}[/tex]+4x) by ([tex]x^3[/tex]+2[tex]x^{2}[/tex]) = [tex]2x^5+8x^4+8x^3[/tex]
This is the common denominator.
However, you also need to multiply the numerators.
For example,
[tex]\frac{1}{2} + \frac{1}{4}[/tex]
2 times 4 is 8.
But 1/8 + 1/8 isn't the answer. Thats 2/8 or 1/4.
If you multiply 1 by 4 and 2 by 1, however, you'll get the correct answer.
Multiply 1 by x^3 + 2x^2 and 1 by 2x^2 + 4x.
This results in:
[tex]\frac{x^3+2x^2}{2x^5+8x^4+8x^3} +\frac{2x^2+4x}{2x^5+8x^4+8x^3}[/tex]
Since they have a common denominator, you can just put the numbers over one denominator like:
[tex]\frac{x^3+2x^2+2x^2+4x}{2x^5+8x^4+8x^3}[/tex]
Both the and numerators can be factored.
The numerator can be factored into x[tex](x+2)^2[/tex].
The denominator can be factored into [tex]2x^3(x+2)^2[/tex]
Like:
[tex]\frac{x(x+2)^2}{2x^3(x+2)^2}[/tex]
The (x+2)^2 cancel, leaving:
[tex]\frac{x}{2x^3}[/tex]
Which is basically: [tex]\frac{x^1}{2x^3}[/tex]
Which simplifies to
[tex]\frac{1}{2x^2}[/tex]
Like this?:
[tex]\frac{1}{2x^2+4x} + \frac{1}{x^3+2x^2}[/tex]
A circular table top has a radius of 24 inches. What is the area of the table top, to the nearest square inch? Use 3.14 for pie Answer choices: 75in.^2 151in.^2 1809in.^2 7235in^2
Work Shown:
A = area of circle
A = pi*r^2
A = pi*24^2 ... plug in given radius r = 24
A = pi*576
A = 576pi .... exact area in terms of pi
A = 576*3.14 .... replace pi with its approximation
A = 1808.64
A = 1809 ..... rounding to nearest square inch
www.g "A political discussion group consists of 6 Democrats and 10 Republicans. Three members are selected to attend a conference. Find the probability that the group will consist of all Republicans."
Answer:
[tex]Probability = \frac{3\\}{14}[/tex]
Step-by-step explanation:
Given
Republicans = 10
Democrats = 6
Total = Republicans + Democrats = 10 + 6 = 16
Selection = 3
Required
Probability that all selected members are Republicans
This implies that all selected members are republicans and none are republicans
This is calculated by (Number of ways of selecting 3 republicans * Number of ways of selecting 0 Democrats) / (Total number of possible selections)
First; the number of ways the 3 republicans from 10 can be selected needs to be calculated;
[tex]^{10}C_3 = \frac{10!}{(10-3)!3!}[/tex]
[tex]^{10}C_3 = \frac{10!}{7!3!}[/tex]
[tex]^{10}C_3 = \frac{10*9*8*7!}{3!7!}[/tex]
Divide numerator and denominator by 7!
[tex]^{10}C_3 = \frac{10*9*8}{3*2*1}[/tex]
[tex]^{10}C_3 = \frac{720}{6}[/tex]
[tex]^{10}C_3 = 120[/tex]
Next, the number of ways that 0 republicans can be selected from 6 will be calculated
[tex]^6C_0 = \frac{6!}{(6-0)!0!}[/tex]
[tex]^6C_0 = \frac{6!}{6!0!}[/tex]
[tex]^6C_0 = 1[/tex]
Next, the total number of possible selection will be calculated; In other words number of ways of selecting 3 politicians fro a group of 16
[tex]^{16}C_3 = \frac{16!}{(16-3)!3!}[/tex]
[tex]^{16}C_3 = \frac{16!}{13!3!}[/tex]
[tex]^{16}C_3 = \frac{16*15*14*13!}{13!3!}[/tex]
[tex]^{16}C_3 = \frac{16*15*14}{3!}[/tex]
[tex]^{16}C_3 = \frac{16*15*14}{3*2*1}[/tex]
[tex]^{16}C_3 = \frac{3360}{6}[/tex]
[tex]^{16}C_3 = 560[/tex]
Lastly, the probability is calculated as follows;
[tex]Probability = \frac{^{10}C_3\ *\ ^6C_0}{^{16}C_3}[/tex]
[tex]Probability = \frac{120\ *\ 1}{560}[/tex]
[tex]Probability = \frac{120\\}{560}[/tex]
Simplify fraction to lowest term
[tex]Probability = \frac{3\\}{14}[/tex]
3/(2x-1)+4=6x/(2x-1)
X=?
Tagall
er travels at an average speed of 64 miles per hour. How many miles does it travel in 4 hours and 45 minutes?
Answer:
304 miles
Step-by-step explanation:
Distance = rate times time
changing 4 hours 45 minutes to decimal form
4 45/60 = 4.75
D = 64 mph * 4.75
=304 miles
ok first person to answer my question will get marked as the brainliest answer and i will give you a thanks and a like. Each square below represents one whole. A square divided in 25 equal parts, all 25 of which are shaded Another square divided in 25 equal parts, 13 of which are shaded What percent is represented by the shaded area?
Answer:
76%
Step-by-step explanation:
First, we need to see how many total squares (parts) there are. There are 50.
Now, we need to see how many parts are shaded. So, 13 plus 25 will give us 38.
Our fraction is 38/50, which is 76%.
Hope this helped!
Answer: 76 percent
Step-by-step explanation:
We have two squares divided into exactly 25 indentical parts
In the first one 25 squares are shaded wich means 25/25
The second one we only 13 shaded square wich means 13/25
So in total we have 50 squares with 38 shaded ones
Wich means 38/50
38/50= 0.76
Multiply bu 100 to get the percentage wich 76 percent
A regular hexagon is inscribed in a circle. The circle is inscribed in a square. If the side length of the square is 25 cm, what is the length of each side of the hexagon?
Answer:
12.5
Step-by-step explanation:
to find the length of one side of the hexagon, draw diagonal lines, which will be six diagonals, this will divide the hexagon into, 6 equilateral triangles. The diagonals are equal in length to the side of the square (25 cm.) and the sides of the equilateral triangles are just half of this (12.5 cm.)
25/2=12.5
Write and solve the equation and then check your answer. A number increased by twenty-six is forty-two. Which statements are correct? Check all that apply. This is an addition problem. This is a subtraction problem The correct equation is s + 26 = 42. The correct equation is s – 26 = 42. To solve the equation, add 26 to both sides. To solve the equation, subtract 26 from both sides.
Answer:
equation= s+26=42
to solve,subtract 26 from both sides
Step-by-step explanation:
lets say the number is S
to increase is to add
S+26=42
solution
S+26(-26)=42-26
S=16
Answer:
A: This is an addition problem.C: The correct equation is s + 26 = 42. F: To solve the equation, subtract 26 from both sides.Explanation: Correct on Edg 2020.
Which of the following shows the intersection of the sets? {7, 8, 9, 10} {9, 10, 11, 12}
Answer:
{9, 10}
Step-by-step explanation:
The intersection of sets are the numbers that appear in both sets. In this case the only numbers that appear in both sets are 9 and 10.
Answer:
{ 9,10}
Step-by-step explanation:
The intersection of the sets is what the two sets have in common
{7, 8, 9, 10} ∩{9, 10, 11, 12}
{ 9,10}
If 2 cards are selected from a standard deck of 52 cards without replacement, find these probabilities. Both are the same suit.
Answer:
4/17
Step-by-step explanation:
There are 4 suits in the standard deck and 13 cards in each suit. The first pick doesn't matter as it doesn't specify which suit we need. Now that we have picked the first card, it will not be replaced, meaning there are now 51 cards, and importantly, only 12 cards left in the same suit as the one we picked. This means the probability that the next card we pick is in the same suit is 12 out of 51, or 12/51, which can be simplified to 4/17.
Answer:
4/17
Step-by-step explanation:
There are 52 cards in a standard deck.
There are 4 suits and 13 cards of each suit in a deck.
You select the first card, and it will be a card of one of the 4 suits.
Now you need to select a second card. You want it to be the same suit as the first card.
There are 51 cards left in the deck and 12 cards left of the same suit as the first card.
p(same suit) = 12/51 = 4/17
Compare using >, <, or
9 hours
450 minutes
Answer:
9 hours > 450 minutes
Step-by-step explanation:
An hour is a period of 60 minutes. 9 times 60 (9 hours) is 540 minutes.
540 > 450 minutes.
9 hours is more than 450 minutes.
9 hours > 450 minutes
Answer:
9 hours > 450 minutes
Step-by-step explanation:
We want to compare 9 hours with 450 minutes.
Let's first convert them to the same units of time: minutes.
There are 60 minutes in an hour, so there are 60 * 9 = 540 minutes in 9 hours.
Clearly, 540 is greater than 450, so we would use > to show that:
9 hours > 450 minutes
~ an aesthetics lover
I need to find for both f(-1) and f(1) it’s
Answer:
f(-1) = -8
f(1) = -12
Use the Pythagorean theorem to calculate the diagonal of a TV is it's length is 36 inches and its width is 15 inches. Round your final answer to one decimal place.
Answer:
39 inches
Step-by-step explanation:
sqrt(15^2 + 36^2) = 39
Suppose Melissa borrows $3500 at an interest rate of 14% compounded each year,
Assume that no payments are made on the loan.
Do not do any rounding.
(a) Find the amount owed at the end of 1 year
(b) Find the amount owed at the end of 2 years.
PLEASE HELPPP!!!
The table shows three unique functions. (TABLE IN PIC) Which statements can be used to compare the characteristics of the functions? Select two options. f(x) has an all negative domain. g(x) has the greatest maximum value. All three functions share the same range. h(x) has a range of all negative numbers. All three functions share the same domain.
Answer:
Correct answers are:
g(x) has the maximum greatest value.
h(x) has a a range of all negative numbers.
Step-by-step explanation:
Let us learn about the domain and range of a function first.
Domain of a function is the input that we give to the function for which there is a valid output.
For example, let us consider a function:
[tex]y=F(x) = x^2[/tex]
So, the value of 'x' that we provide to the function is known as the domain of function.
Range of a function is the output value when any input is given to the function.
For example,
[tex]y=F(x) = x^2[/tex]
Let us put x = 4, which will be in the domain of function.
the output will be y = 16 which will be in the range of the function.
Now, let us consider the given functions f(x), g(x) and h(x).
Domain of f(x) i.e. the value of x for which the output is defined is:
{-2, -1, 1, 2}
Range of f(x) = [tex]\{4, 4\frac{1}2, 5\frac{1}2, 6\}[/tex]
Max value of f(x) = 6
Domain of g(x) i.e. the value of x for which the output is defined is:
{-2, -1, 1, 2}
Range of g(x) = [tex]\{6, 6\frac{1}2, 7\frac{1}2, 8\}[/tex]
Max value of g(x) = 8
Domain of h(x) i.e. the value of x for which the output is defined is:
{-2, -1, 1}
Range of h(x) = [tex]\{-3, -2\frac{1}2, -1\frac{1}2\}[/tex]
Max value of h(x) = [tex]-1\frac{1}2[/tex]
For x = 2, the value of h(x) is not given i.e. it is not defined at x = 2, so it is not in the domain. So, domain of all the three functions is not same.
So, the correct options are:
g(x) has the maximum greatest value.
h(x) has a a range of all negative numbers.
Answer:
B,D
Step-by-step explanation:
Edge 2020 100%
A grocery store estimates that customers arrive at the rate of 15 per hour. The cashier can serve customers at a rate 20 per hour. Calculate the average number of customers in a line. Group of answer choices
Answer:
The average number of customers in a line = 2.25
Step-by-step explanation:
We are given;
Mean arrival rate;a = 15 customers per hour
Mean service rate;s = 20 customers per hour
Now, we want to find the average number of customers in the line. It is given by the formula;
N_q = a(W_q) = a²/(s(s - a)
Plugging in relevant values, we have;
N_q = 15²/(20(20 - 15))
N_q = 225/100
N_q = 2.25
A newsletter publisher believes that above 41% of their readers own a personal computer. Is there sufficient evidence at the 0.10 level to substantiate the publisher's claim? State the null and alternative hypotheses for the above scenario.
Answer:
Null and alternative hypothesis:
[tex]H_0: \pi=0.41\\\\H_a:\pi>0.41[/tex]
Step-by-step explanation:
To perform this hypothesis test we need a sample outcome that is not given in the question (sample size and proportion).
Although, the null and alternative hypothesis can be stated:
- The alternative hypothesis reflects the publisher belief, stating that the population proportion of readers that own a personal computer is significantly higher than 0.41.
- The null hypothesis states the opposite: that the proportion is not signifcantly higher than 0.41.
This can be written as:
[tex]H_0: \pi=0.41\\\\H_a:\pi>0.41[/tex]
which statement about the transformations is true
Answer:
the answer is A
Step-by-step explanation:
Flying against the wind, a jet travels 3000 miles in 4 hours. Flying with the wind, the same jet travels 7500 miles in 6 hours. What is the rate of the jet in still air and what is the rate of the wind? g
Answer:
The rate of the jet in still air is 1125 miles per hour, and the rate of the wind is 375 miles per hour.
Step-by-step explanation:
Flying against the wind, the speed of the airplane is 750 miles per hour (3000/4), while flying with a downwind, its speed is 1500 miles per hour (7500/6). Therefore, the difference between the two speeds is 750 miles per hour, so since the distance traveled is the same, the midpoint between the two speeds is 375 miles per hour. Then, without wind, the plane would travel the same distances at a speed of 1125 miles per hour.
In conclusion, the rate of the jet in still air is 1125 miles per hour, and the rate of the wind is 375 miles per hour.
In a survey of 1309 people, 825 people said they voted in a recent presidential election. Voting records show that 60% of eligible voters actually did vote. Given that 60% of eligible voters actually did vote,
(a) find the probability that among 1309 randomly selected voters, at least 825 actually did vote.
(b) What do the results from part (a) suggest?
Answer:
a) P(X>825)
b) This low value of probability of the sample outcome (as 825 voters actually did vote) suggests that the 60% proportion may not be the true population proportion of eligible voters that actually did vote.
Step-by-step explanation:
We know a priori that 60% of the eligible voters did vote.
From this proportion and a sample size n=1309, we can construct a normal distribution probabilty, that is the approximation of the binomial distribution for large samples.
Its mean and standard deviation are:
[tex]\mu=n\cdot p=1309\cdot 0.6=785.4\\\\\sigma =\sqrt{np(1-p)}=\sqrt{1309\cdot 0.6\cdot 0.4}=\sqrt{314.16}=17.7[/tex]
Now, we have to calculate the probabilty that, in the sample of 1309 voters, at least 825 actually did vote. This is P(X>825).
This can be calculated using the z-score for X=825 for the sampling distribution we calculated prerviously:
[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{825-785.4}{17.7}=\dfrac{39.6}{17.7}=2.24\\\\\\P(X>825)=P(z>2.24)=0.0126[/tex]
This low value of probability of the sample outcome (as 825 voters actually did vote) suggests that the 60% proportion may not be the true population proportion of eligible voters that actually did vote.
The probability that a grader will make a marking error on any particular question of a multiple-choice exam is 0.10. If there are ten questions and questions are marked independently, what is the probability that no errors are made
Answer:
0.9^10
Step-by-step explanation:
The probability to make an error in 1 question =0.1 => The probability that this one particular question will be answered correctly is P=1-0.1=0.9
There are 10 questions that are independent from each other .
The probability to be answered correctly is 0.9 each. So the probability to answer correctly to all of them is
P(10quest=correct) =0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9=0.9^10
9q + –23 = –77 q = _______
Answer:
q = -6
Step-by-step explanation:
given:
9q + (–23) = –77 (add 23 to both sides)
9q = -77 + 23
9q = -54 (divide both sides by 9)
q = (-54)/9
q = -6
The second of two numbers is 7 times the first. Their sum is 72. Find the numbers.
Answer:
first number: 9 second number: 63
Step-by-step explanation
lets make a ratio!
since one number is 7 times less than the other, the ratio would be: 1:7.
now to find the answer, you'd have to do 1+7 divided by 72. so basically
x=72/8
then solving that should be simple!
x=9
so 7x would be 63.