Answers
Step-by-step explanation:
C = 180 - 112 = 68°
A = 180 - 68 - 51 = 61°
B = 180 - 61 = 119°
Another way :
We know that B = C + 51 ==> B = 68 + 51 = 119°
Related Questions
Dylan has a pitcher with 1.65 L of orange juice. He pours out 0.2 L
of the juice. Then he adds some sparkling water to the pitcher to
make orangeade. He ends up with 1.9 L of orangeade. Solve the
equation 1.65 -0.2 + x = 1.9 to find the amount of sparkling
water, x, Dylan adds to the pitcher. Show your work.
Answers
Answer:
Step-by-step explanation:
fork knife
help! i will mark brainliest!
Answers
Answer: C
Step-by-step explanation:
You can use the notation P(A), read “the probability of event B, given event A” to write a
A. Probability distribution
B. Frequency table
C. Conditional probability
D. Cumulative probability
Answers
You can use the notation P(A), read “the probability of event B, given event A” to write a conditional probability. The correct answer is C.
Conditional probability refers to the probability of one event occurring given that another event has already occurred. In this case, we are interested in the probability of event B occurring given that event A has already occurred, and we can represent this using the notation P(B|A), where '|' means 'given'.
For example, let's say we are interested in the probability of getting a head on a coin toss (event B), given that the coin was flipped and landed on heads (event A). We could represent this using the notation P(B|A). The value of P(B|A) would be 1, because if the coin already landed on heads, then the probability of getting a head on the next flip is certain.
Conditional probability is an important concept in probability theory and is often used in real-world applications, such as predicting the likelihood of a disease given certain symptoms, or the probability of an event occurring given certain conditions.
The correct answer is C.
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Please help asap! The question is below!
Answers
Based on the information, the hedgehogs have made the better offer
How to know who made the better offerThe Turkeys are offering a yearly salary of S(t) = 90000t over the course of eight years. To calculate the present value of each payment, an equation is used:
PV = S(t) * e^(-rt)
The variable "r" denotes a continuous interest rate of 0.03. "t" equals the years from t=0 to the time of payment. By this method, the current value of the Turkeys' offer can be assessed as follows:
PV(Turkeys) = ∫[0,8] 90000t * e^(-0.03t) dt
= 736,918.63
Comparatively, the Hedgehogs propose a yearly salary of S(t) = 80000t for nine years. Utilizing the formula employed in the previous scenario, the following result is derived:
PV(Hedgehogs) = ∫[0,9] 80000t * e^(-0.03t) dt
= 753,472.49
Given these calculations and the presumption that Rogelio may earn a continuous interest rate of 3% on his funds, it would best serve him to accept the Hedgehogs’ item offer since they have offered him a more favorable contract based on the accumulated present value of both contracts.
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i need help with the question
Answers
The intersection points are: (0, -3) and (10, 2)
The bounded area is -20.83 unit²
How to find the intersection points?(a) The intersection points of the line and curve are the points where the line and curve meet. Thus, the intersection points are:
(0, -3) and (10, 2)
(b) The integral terms of y which gives the area bound are:
a = -3, b = 2 (These are the y values of the intersection points)
Since we have x = y² + 3y and x = 2y + 6, we can say:
y² + 3y = 2y + 6
y² + 3y - 2y - 6 = 0
y² + y - 6 = 0
Thus, h(y) =
Using a = -3 and b = 2 with h(y) = y² + y - 6, we have the bounded area as:
\(Area = \int\limits^b_a {y} \, dy\)
\(Area = \int\limits^{2}_{-3} {(y^{2} + y - 6}) \, dy\)
Integrating the area:
Area = [y³/3 + y²/2 - 6y + C]²₋₃
Area = [2³/3 + 2²/2 - 6(2)] - [(-3)³/3 + (-3)²/2 - 6(-3)]
Area = [8/3 + 2 - 12] - [-9 + 4.5 + 18]
Area = [-22/3] - [27/2]
Area = -125/6
Area = -20.83 unit²
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The table of values shown below represents a linear function. Which of these points could also be an ordered pair in
the table, and why?
х
9
0
3
3
7
6
11
12
19
у
15
3
(18, 27), because the rate of change of the function is 7
4
(18, 27), because the rate of change of the function is 3
3
(27, 18), because the rate of change of the function is 7
4
(27, 18), because the rate of change of the function is 3
Answers
(18, 27) 3/4
consider the expression -6 3/5 -(-7 4/15) + 2 1/5
Answers
The value of the fraction -6 3/5 -(-7 4/15) + 2 1/5 will be 2 13/15.
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
The value of the fraction -6 3/5 -(-7 4/15) + 2 1/5 will be:
= -6 3/5 -(-7 4/15) + 2 1/5
= 7 4/15 + 2 1/5 - 6 4/5
= 7 4/15 + 2 3/15 - 6 9/15
= 9 7/15 - 6 9/15
= 2 13/15
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The temperature outside changed from 76°F to 41°F over a period of five days. If the temperature changed by the same amount each day, what was the daily temperature change?
A.
35°F
B.
-35°F
C.
7°F
D.
-7°F
Answers
Explanation: 76-41=35 35/5=7
Answer:
C. 7°F
Step-by-step explanation:
6(x-2)-3x+1=5(x-1)+4
Answers
Hello!
6(x-2) - 3x + 1 = 5(x-1) + 4
6x - 12 - 3x + 1 = 5x - 5 + 4
3x - 11 = 5x - 1
5x - 3x = -11 + 1
2x = -10
x = -10/2
x = -5
HELP ME PLEASE THIS IS LOCKING ME OUT IN 5 MINUTES
Answers
Answer:
Your answer is A
Step-by-step explanation:
Calculate the standard deviation of the sample data to shown. to decimal places
Answers
The formula to calculate the standard deviation is given to be:
\(\sigma=\sqrt{\frac{\sum(x_i-\mu)^2}{N-1}}\)where
σ = population standard deviation
N = the size of the population
xi = each value from the population
μ = the population mean
The mean of the data set is calculated as follows:
\(\begin{gathered} \mu=\frac{sum\text{ }of\text{ }numbers}{number\text{ }of\text{ }numbers} \\ \therefore \\ \mu=\frac{28.9+17.7+2.6+13.1+3.2+11+15+4}{8}=\frac{95.5}{8} \\ \mu=11.9375 \end{gathered}\)Using a calculator, we have the sum of squares to be:
\(\sum(x_i-\mu)^2=559.07875\)There are 8 data. Therefore, the standard deviation is calculated to be:
\(\begin{gathered} \sigma=\sqrt{\frac{559.07875}{8-1}} \\ \sigma=8.94 \end{gathered}\)The standard deviation is 8.94.
coaching and sat scores what we really want to know is whether coached students improve more than uncoached students, and whether any advan- tage is large enough to be worth paying for. use the information above to answer these questions: (a) how much more do coached students gain on the aver- age? construct and interpret a 99% confidence interval.
Answers
With 99% confidence that the true difference lies between 0.1316 and 0.2694.
A 99% confidence interval for the difference in average SAT scores between coached and uncoached students can be constructed using the data above.
The confidence interval is calculated as (mean of coached students - mean of uncoached students) +/- (2 * standard error of the difference in means).
The mean of coached students is (0.3098 + 0.3399 + 0.219 + 0.0798) / 4 = 0.2155, and the mean of uncoached students is (0.0046 + 0.0248) / 2 = 0.0147. The standard error of the difference in means can be calculated as the square root of ((0.2155(1-0.2155)/4) + (0.0147(1-0.0147)/2)).
The confidence interval is then (0.2155 - 0.0147) +/- (2 * 0.0347) = 0.201 +/- 0.0694, or (0.1316, 0.2694). This indicates that, on average, coached students gain 0.201 points more than uncoached students, with 99% confidence that the true difference lies between 0.1316 and 0.2694.
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Which of the following best describes a type of growth that isexponential at first but slows as the amount reaches a certainmaximum value?
Answers
Answer:
Step-by-step explanation:
Logistic growth is the type of growth that is exponential at first but slows as the amount reaches a certain maximum value.
The logistic growth function models a situation where the rate of growth is jointly proportional to the population and to the difference between the population and the carrying capacity.
We can mathematically model logistic growth by modifying our equation for exponential growth, using an r (per capita growth rate) that depends on population size (N) and how close it is to carrying capacity (K). Assuming that the population has a base growth rate of rmax when it is very small.
Attached is an example of such a function.
active attachment.
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What is the slope of a line parallel to the y-axis?
Answers
Answer:
The slope of a line parallel to Y-axis is zero.
1489.45 Round this number to two decimal places
Answers
i dont know sd f g d g g
Question 3(Multiple Choice Worth 3 points)
(01.04 LC)
Which of the following expressions is equivalent to 2x +4? (The x+4 is to the power of x)
A) 8(2) ^x
B) 2^x/8
C) 16(2)^x
D) 2^x/16
Answers
The expression that is equivalent to the expression 2ˣ⁺⁴ is 16(2ˣ)
Which expression is equivalent to the expressionFrom the question, we have the following parameters that can be used in our computation:
2ˣ⁺⁴
The above expression is an exponential expression with the following properties
Base = 2Exponent = x + 4When the above expression is expanded, we have
2ˣ⁺⁴ = 2ˣ * 2⁴
Evaluate the expression 2 exponent 4
So, we have the following representation
2ˣ⁺⁴ = 2ˣ * 16
Rewrite as follows
2ˣ⁺⁴ = 16 * 2ˣ
This gives
2ˣ⁺⁴ = 16(2ˣ)
Hence, the expression that is equivalent to the expression is 16(2ˣ)
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1A. Draw a Venn diagram for (A–B) nC
Answers
Answer:
Draw three overlapping circles to represent the sets A, B, and C.
Label the regions inside each circle with the name of the corresponding set (i.e., A, B, and C).
Shade the region that represents the set A - B, which includes all the elements that belong to A but not to B.
Finally, shade the region that represents the intersection of (A - B) and C, which includes all the elements that belong to both (A - B) and C.
The resulting diagram should show three overlapping circles, with the region for A shaded but with a part removed (to represent the exclusion of elements in B from A), and the region for (A - B) n C shaded within that.
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answers
Answer:
y=2x+6
Step-by-step explanation:
Marco wants to know how much the other students in his mathematics class study. He recorded the data he collected in
the following table.
Time spent studying per week (in hours)
2.0
5.0
1.0
2.5
2.5
3.5
0.0
4.5
2.5
4.0
3.5
3.0
2.0
1.5
4.0
2.0
0.5
3.0
1.0
3.0
3.5
1.5
1. Construct a histogram for the data.
Answers
Answer:
Step-by-step explanation:
This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
There are 20 cities in the County of Newton. Their populations are shown in the bar chart below. The average population of all the cities is indicated by the horizontal dashed line. Which of the following is closest to the total population of all 20 cities?
Answers
Answer:
The answer is C/85,000
Step-by-step explanation:
Can someone answer this question if you know the answer.
Answer choices:
A. 1/20
B. 40%
C. 1/40
D.50%
Answers
Answer:
It's C
Step-by-step explanation:
The graph below shows a line of best fit for data collected on the number of students who wear a jacket to school and the average daily temperature in degrees Fahrenheit.
Based on the line of best fit, how many students wear a jacket to school when the temperature is 50°F?
A.) 240
B.) 210
C.) 300
D.) 180
Answers
Answer:
240
Step-by-step explanation:
You should go to the value 50 °F and see the value that match it
here it's 240 students
Based on the line of best fit, the number of students who wear a jacket to school when the temperature is 50°F is 240.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
Given that The graph shows a line of best fit for data collected on the number of students who wear a jacket to school and the average daily temperature in degrees Fahrenheit.
Now, Based on the line of best fit, the number of students who wear a jacket to school when the temperature is 50°F can be found by simply observing the graph when the average daily temperature is 50°F as shown below, and then looking the value of y at that temperature.
Hence, Based on the line of best fit, the number of students who wear a jacket to school when the temperature is 50°F is 240.
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The first used 20 gal of fuel and the second used 25 gal. The 2 drove 1450 miles and the sum of their fuel efficiencies was 65 miles per gal. What we’re each car fuel efficiency?
Answers
Answer: there you go :)
Car 1 consumes 30 gallons of gas.
Car 2 consumes 20 gallons of gas.
Step-by-step explanation:
Let x = gallons consumed by car 1
Let y = gallons consumed by car 2
We set up our equations:
35x+40y = 1850 eq1
x+y = 50 eq2
Substituting eq 2 into eq 1,
35x+40(50-x) = 1850
35x+2000-40x = 1850
-5x+2000 = 1850
-5x = -150
x = 30
Substitute value of x into eq 2.
x+y = 50
30+y = 50
y = 20
Car 1 consumes 30 gallons of gas.
Car 2 consumes 20 gallons of gas.
2 period class
No students
doing Different questions
due by Apr 14th, 11:59 PM -
One-step addition & subtraction equations
Solve the equation.
2 + y = 11
y =
Stuck? Watch a video or use a hint.
Report a pi
2+y=11
Answers
Answer:
2 + y = 11 y = 9
Step-by-step explanation:
Steps
2 + y = 11
subtract 2 from both sides
2 + y - 2 = 11 - 2
y = 9
Which one is the answer ?? Plzz
Answers
Answer:
answer is c
Step-by-step explanation:
you have to find x first and try any of the equation if you get y and it is the same of the graph and thats the answer
first to answer correct gets brainliest
Answers
Answer:
64-6=x
Step-by-step explanation:
Find the prime factorization of 234.
Answers
Answer:2^1 × 3^2 × 13^1
Step-by-step explanation:
find the value of h(-67) for the function below
h(x)=-49x-125
Answers
h(-67) = 3158
General Formulas and Concepts:
Order of Operations: BPEMDAS
- Substitution and Evaluation
Step-by-Step Explanation:
Step 1: Define
h(x) = -49x - 125
h(-67)
Step 2: Solve
1. Substitute: h(-67) = -49(-67) - 125
2. Multiply: h(-67) = 3283 - 125
3. Subtract: h(-67) = 3158
It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, estimate how much longer I will be driving for?
Answers
It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.
To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.
We can set up a proportion to find the time:
(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)
Let's solve for the time taken for 146 km:
(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)
Substituting the given values:
(time taken for 146 km) = 32 minutes * (146 km / 48 km)
Calculating the value:
(time taken for 146 km) ≈ 32 minutes * 3.042
(time taken for 146 km) ≈ 97.344 minutes
Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.
To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:
Additional time = 97.344 minutes - 32 minutes
Additional time ≈ 65.344 minutes
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Find the sum.
7/30 + 9/20 PLS
Answers
Answer:
41/60
Step-by-step explanation:
Convert the fractions into like denominators: 7/30 = 140/600, 9/20 = 270/600
Add: 140/600+270/600 = 410/600
Divide into a smaller fraction: 41/60
Answer:
it is your a ss 344543534543543543e53
Step-by-step explanation:
no capion needed