angle c and angle d are complemetary angles. m angle c = (17+2x) degrees and angle d = (x+10) degrees. Solve for x by writing an equation and solving for x. Then find m angle c and m angle d
Answers
Answer:
x = 21
< c = 59 degrees and < d = 31 degrees
Step-by-step explanation:
Complementary angles c+d=90 degrees
(17+2x) + (x+10) = 90 degrees
3x + 27 = 90
3x = 90-27
x = 63/3
x = 21
c = 17+2(21) = 17+42=59
d = 21+10 = 31
31+59=90
Related Questions
how do you do this ??? pls helpppp
Answers
Answer: m<2 = 83 degrees
Step-by-step explanation:
The sum of angles on a straight line= 180 degrees
97 + <2 = 180
<2= 180 -97
= 83 degrees
Morgan flipped a coin 100 times and 44 of the 100 flips were tails. She wanted to see how likely a result of 44 tails in 10C flips would be with a fair coin, so Morgan used a computer simulation to see the proportion of tails in 100 flips, repeated 100 times.
Create an interval containing the middle 95% of the data based on the data from the simulation, to the nearest hundredth, and state whether the observed proportion is within the margin of error of the simulation results.
Answers
The interval containing the middle 95% of the simulation data is approximately 0.3426 to 0.5374.
To create an interval containing the middle 95% of the data based on the simulation results, we can use the concept of confidence intervals. Since the simulation was repeated 100 times, we can calculate the proportion of tails in each set of 100 flips and then find the range that contains the middle 95% of these proportions.
Let's calculate the interval:
Calculate the proportion of tails in each set of 100 flips:
Proportion of tails = 44/100 = 0.44
Calculate the standard deviation of the proportions:
Standard deviation = sqrt[(0.44 * (1 - 0.44)) / 100] ≈ 0.0497
Calculate the margin of error:
Margin of error = 1.96 * standard deviation ≈ 1.96 * 0.0497 ≈ 0.0974
Calculate the lower and upper bounds of the interval:
Lower bound = proportion of tails - margin of error ≈ 0.44 - 0.0974 ≈ 0.3426
Upper bound = proportion of tails + margin of error ≈ 0.44 + 0.0974 ≈ 0.5374
Therefore, the interval containing the middle 95% of the simulation data is approximately 0.3426 to 0.5374.
Now, we can compare the observed proportion of 44 tails in 100 flips with the simulation results. If the observed proportion falls within the margin of error or within the calculated interval, then it can be considered consistent with the simulation results. If the observed proportion falls outside the interval, it suggests a deviation from the expected result.
Since the observed proportion of 44 tails in 100 flips is 0.44, and the proportion falls within the interval of 0.3426 to 0.5374, we can conclude that the observed proportion is within the margin of error of the simulation results. This means that the result of 44 tails in 100 flips is reasonably likely to occur with a fair coin based on the simulation.
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1. What porition in the distribution cormspends to a z-sore of - 1.20: A. Belowe the mean by 1.20 points B. Beiow the mean by a difstance equal to 1.20 stanuard deviations C. Abave the incain try 1.20 points D. Abave the mican try a distance equal to 1.20 standard deviations 2. What zscore corresponds to a score that is above the mean by 2 standard dieviations? A. 1 13. −2 C. 2 D. 41 3. If a student's exam score in Chemistry was the same as the mean score for. the entire Chemistry class of 35 students, what would that stutent's z-score be: A. 2=35.00 8. z=−0.50 C. z=41.00 D. z=0.00 4. For a population with M=75 and 5=5, what is the z - score correspondin g to x=65? A 4
=−2.00 Ba 4
+1.00 C. +1.50 D. +2.00 5. A zrcore indicates how an individual perfoemed an w test relative to the other people who took the same tent. A. True 9. False 6. Suppose the 3000 students taking Introduction to Prycholody at a lage univera ty all take the same fin al exam. What can you conclude about a rtudeat takug Introduction to Dpychosogy at this univernfy whic taves the finai exam and qas a j-score of +0.80 on the final exam? คi. The rudent's icore was balaw the nuen of the 3000 wiudents. 8. The itudent answe red corsectiy ant 30 quevicions. C. The itudents score harequal to the mears of ait 1000 students. D. The student's score wras above the me in of the 3000 studenta.
Answers
1. The portion in the distribution corresponding to a z-score of -1.20 is option B. Below the mean by a distance equal to 1.20 standard deviations. This is because the z-score measures the number of standard deviations that a given data point is from the mean of the data set.
A z-score of -1.20 means that the data point is 1.20 standard deviations below the mean. 2. The z-score corresponding to a score that is above the mean by 2 standard deviations is option C. 2. This is because the z-score measures the number of standard deviations that a given data point is from the mean of the data set. A score that is 2 standard deviations above the mean corresponds to a z-score of 2.3.
If a student's exam score in Chemistry was the same as the mean score for the entire Chemistry class of 35 students, their z-score would be option D. z = 0.00. This is because the z-score measures the number of standard deviations that a given data point is from the mean of the data set. If the student's score is the same as the mean, their z-score would be zero.4. For a population with M = 75 and
s = 5, the z-score corresponding to
x = 65 is option A.
z = -2.00. This is because the z-score measures the number of standard deviations that a given data point is from the mean of the data set.
Therefore, the z-score can be calculated as follows: z = (x - M) / s
= (65 - 75) / 5
= -2.005. True. A z-score indicates how an individual performed on a test relative to the other people who took the same test.6. The student's score was above the mean of the 3000 students. This is because a z-score of +0.80 means that the student's score was 0.80 standard deviations above the mean of the data set. Therefore, the student performed better than the average student in the class. Option D is the correct answer.
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Find the equation of the line that passes through (1,2) and is perpendicular to y = 2 x + 3
Answers
Answer:
See belowStep-by-step explanation:
The slope of the perpendicular line with y = 2x + 3 is m = - 1/2.
Use point-slope form to find its equation:
y - y₁ = m(x - x₁)y - 2 = - 1/2(x - 1)or
y = -1/2x + 2 1/2or
y = -0.5x + 2.5Answer:
See below
Step-by-step explanation:
The slope of the perpendicular line with y = 2x + 3 is m = - 1/2.
Use point-slope form to find its equation:
y - y₁ = m(x - x₁)
y - 2 = - 1/2(x - 1)
or
y = -1/2x + 2 1/2
or
y = -0.5x + 2.5
give brainliest to me or to the person below or up bc I ctrl+c and ctrl+v
bc is soooo coool the other one lol
if it takes 3 workers 8 days to paint a fence how long would it take 4 workers
Answers
so 3 guys can do the whole work in 8 days, that means that for one day the same 3 guys are doing (1/8)th of the whole work, let's divide that 1/8 by 3 to see how much each guy does rate wise
\(\stackrel{ \begin{array}{llll} \textit{fraction of}\\ \textit{the whole done}\\ \textit{by all 3} \end{array} }{\cfrac{1}{8}} \div \stackrel{ workers }{3}\implies \cfrac{1}{8}\cdot \cfrac{1}{3}\implies \cfrac{1}{24}\impliedby \begin{array}{llll} \textit{fraction done}\\ \textit{by just 1 worker} \end{array}\)
now, we know is 1/8 th because the whole thing took 8 days, so for 1 day is just 1/8 of 8, and now we know each worker is really doing 1/24 th per day of the whole thing.
now, let's add another worker, who is going to be going at the same speed as the other 3 guys, or 1/24 of the work, so the work will take "t" days total, so in 1 day all those 4 guys will be doing only (1/t)th of the whole thing, so
\(\stackrel{ \textit{rate for 4 workers} }{\cfrac{1}{24}+\cfrac{1}{24}+\cfrac{1}{24}+\cfrac{1}{24}}~~ = ~~\stackrel{ \textit{fraction of total} }{\cfrac{1}{t}} \\\\\\ \cfrac{4}{24}=\cfrac{1}{t}\implies \cfrac{1}{6}=\cfrac{1}{t}\implies t=6 ~~ days\)
Flip a coin twice, create the sample space of possible outcomes (H: Head, T: Tail).
Answers
The sample space of the possible outcomes of tossing a coin twice is:
{HH, HT, TH, TT}
Each result represents a possible combination of two coin tosses. The primary letter represents the result of the primary hurl, and the moment letter speaks to the result of his moment hurl.
For example, "HH" means the coin landed heads twice in a row, and "HT" means the first toss was headed and the second was tails.
In probability theory, sampling space refers to the set of all possible outcomes of an experiment or random event.
Before analyzing the probability of a particular event it is important to define the sampling space. This is because the sampling space determines the possible events and their probabilities.
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Bernard ate part of a small pizza. He started with StartFraction 11 Over 12 EndFraction of a pizza but only ate Two-thirds of it. Which is the best estimate of the amount Bernard ate?
A. Bernard ate a little less than One-half of the pizza.
B. Bernard ate a little more than One-half of the pizza.
C. Bernard ate a little less than Two-thirds of the pizza.
D. Bernard ate a little more than Two-thirds of the pizza.
Answers
Answer:
b
Step-by-step explanation:
1) Solve 3x+2= 5.
A. Model 3 2 x+ = 5.
B. Perform the step to have the variables (circles) alone on one side.
C. Write the resulting step.
D. Divide the variables (circles) and numbers (squares) into equal groups.
E. Show the value of one group.
DO EVERY SINGLE ONE
Answers
Answer:
x = 1
Step-by-step explanation:
3x + 2 = 5
→ Minus 2 from both sides
3x = 3
→ Divide both sides by 3
x = 1
b If $192 is earned in simple interest on a
principal of $600 invested for 4 years,
what is the rate of interest per year?
Answers
Answer:
8%----------------------
Use the formula for simple interest:
I = PRTwhere:
I = Interest earned,P = Principal,R = Rate of interest ,T = Time (in years).Substituting the given values into the formula, we get:
192 = 600 x R x 4 R = 192/2400R = 0.08 or 8%Therefore, the rate of interest per year is 8%.
The population P (in millions) of Italy from 2003 through 2015 can be approximated by the model P = 57.59e0.0051t, where t represents the year, with t = 3 corresponding to 2003. (a) According to the model, is the population of Italy increasing or decreasing? Explain.
Answers
It can be concluded that the population of Italy is increasing.
What are functions?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.The set X is called the domain of the function and the set Y is called the codomain of the function.Functions whose domain are the non - negative integers, known as sequences, are often defined by recurrence relations.Given a function as \(${\displaystyle f\colon X\to Y}\) its graph is, formally, the set -\(${\displaystyle G=\{(x,f(x))\mid x\in X\}.}\)
Given is the population {P} (in millions) of Italy from 2003 through 2015 can be approximated by the model → {P} = 57.59\($e^{0.0051t}\), where {t} represents the year, with {t} = 3 corresponding to 2003.
The exponential function is a mathematical function denoted by : f(x) = eˣ.We have the function -
{P} = 57.599\($e^{0.0051t}\)
For {t} = 1, we can find P(1) as -
P(1) = 57.79 x \($e^{0.0051}\)
P(1) = 57.79 x 1.00511302714
P(1) = 58.1
Now, P(3) > P(1), this means that the population of Italy is increasing.
Therefore, it can be concluded that the population of Italy is increasing.
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Please help (: will give brainlelist
Answers
Answer:
Refer to the attached image.
Step-by-step explanation:
Question 11 (4 points)
What is the interquartile range (IQR) for the data set?
22, 28, 35, 38, 42, 44, 48
Answers
Answer:
16
Step-by-step explanation:
Find the total amount in the compound interest account 1000 is compounded annually at a rate of 11% for 7 years round to the nearest cent
Answers
Answer:
The answer is 400
Step-by-step explanation:
Finn is baking a pie. The diameter of the pie is 14 inches.
What is the area of the pie (use 3.14 for pi and round to nearest tenth)?
Answers
Answer:
If you round it to nearest tenth it will be 50
Step-by-step explanation:
14x3.14=49
Please answer ASAP for notes (will mark someone brainiest if 2 people answer)
Use the image to determine the type of transformation shown
A. Vertical translation
B. Reflection across the X-axis
C.180° counterclockwise rotation
D. Horizontal Translation
Answers
Answer:
it's A.
Step-by-step explanation:
a vertical translation, in the name, means you are moving the graph up or down the y axis. a horizontal translation is moving the graph left or right on the x axis. a reflection across the x axis is all the x values *-1. 180 counterclockwise rotation is rotating the graph top to bottom.
Answer:
A. Vertical translation
Step-by-step explanation:
A vertical translation means the object moves up or down without changing anything else of itself, such as size, rotation, reflection, etc. Only movement up and down.
Reflection is where the object moves as though the axis is a mirror, where the object translates the same distance from the axis, but also flips across the axis, so if it is an x-axis, it flips upside down, and at a y-axis, flips left and right.
A rotation in any direction that is 180 degrees means that the object appears to be flipped opposite of what it started as. For example, if A is at the top point, after rotation, A would be the bottom point.
A horizontal translation is the same as with a vertical translation, except the object moves left or right.
From each of these analyses I provided on each of the answer choices, we can clearly see that the correct answer is the first option, "A. Vertical translation," as the object did exactly as I described what a vertical translation is.
If I helped (and more clearly explained, hopefully, than the other answer), please make this answer brainliest ;)
What scale factor was applied to the first rectangle of 3 to get the second rectangle of 7. 5
Answers
The scale factor which is applied to the first rectangle to get the second rectangle is 2.5 .
The side length of the first rectangle is 3 units ;
the side length of the second rectangle is 7.5 units ;
To find the Scale Factor that was applied to the rectangle of side length 3 units to get the rectangle of side length 7.5 units,
We divide the side length of first rectangle by the side length of the second rectangle.
So, the scale factor is ⇒ 7.5/3 = 2.5 .
Therefore, a scale factor of 2.5 was applied to the rectangle of side length 3 units to get the rectangle of side length 7.5 units.
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The given question is incomplete , the complete question is
What scale factor was applied to the first rectangle of side length 3 units to get the second rectangle of side length 7.5 units?
a type of medicine is given in a 100 miligram dosage. the medicine comes in a 12 gram bottle. how many 100 milligram doses are in a bottle?
Answers
The medicine bottle has 120 doses of 100 miligram each.
As per the known fact, 1000 miligram is 1 gram. So, the amount of medicine in the bottle in milligrams = 12×1000
Performing multiplication on Right Hand Side of the equation
Amount of medicine in bottle = 12000 milligrams.
Now, number of dose of 100 miligram medicine = 1
Amount of dose of 12000 miligram medicine = (1/100)×12000
Performing division and multiplication on Right Hand Side of the equation
Amount of doses in 12000 miligram medicine = 120
Thus, there are 120 doses in a medicine.
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What is "o"? will get 15 points for correct answer.
Answers
Answer:
54 Degrees
Step-by-step explanation:
We know that a triangle has to have 180 degrees in all. we also know that the bottom lines is a straight angle, so 180 degrees.
using this information, we can find n. We know that n+78 is 180, so n=102
We also know that o+102+24=180, so
o=54
Hope this helps!
4. Write an equation in the form of y = kx for the following situation. A person can burn 750
calories in 60 minutes.
Answers
Answer:
k750×60x=Ohio
Step-by-step explanation:
Swag like Ohio down in Ohio
In the triangle below, what is the measure of ZZ?
OA. 65°
B. 7°
O C. 90°
D. 50°
65
7
Answers
-2 1/3 - -1 5/6!!!!!!
Answers
Answer:
-1/2
Step-by-step explanation:
Make these mixed fractions:
-2 1/3 = -7/3
-1 5/6 = 11/6
Make these have common denominators:
-7/3 - (-11/6)
-14/6 - (-11/6)
-14/6 + 11/6
-3/6
-1/2
Answer:-0.5
Step-by-step explanation: have a good day!
If the length of a rectangle is
expressed by 22 + 41-8 and the
width is 3x What is the area of the
rectangle?
Answers
I think that the length's area is 6075
i need to know A and B, for both a and b the are rounded to the 8th decimal places as needed
Answers
The aircraft works when at least one of its components works
Probability of failure, f = 0.0056
Probability of success, s = 1 - 0.0056 = 0.9944.
If we suppose that all the three components fail, the probability of this event will be:
\(\begin{gathered} 0.0056\cdot0.0056\cdot0.0056 \\ =0.0000001756 \end{gathered}\)If we round this to the 8th decimal place, this is:
0.0000002
How many ridges would there be on $10 worth of quarters?
Answers
Answer:
4760
Step-by-step explanation:
First you find out how many are in a dollar so you do
119*4 which is 476
Then because there is $10 you need to do
476 * 10 which would be 4760
Answer:
4,760 ridges
Step-by-step explanation:
10(119x4)
(pemdas)
119x4=476x10=4760
In terms of the number of marked mountain goats, what is the relative frequency for male goats, female goats, adult goats, and baby goats? Write your answers as simplified fractions.
Answers
Answer:
Female: 93/328
Adult: 103/328
Baby: 61/328
Step-by-step explanation:
71 + 93 + 103 + 61 = 328
Male: 71/328
Female: 93/328
Adult: 103/328
Baby: 61/328
Please answer this to the best of your ability
Answers
Answer:
Step-by-step explanation:
I-- (3,-1)
K-- (-3,-5)
L-- (-3,-4)
J-- (2, -5)
Answer:
Angle I: (3,-1)
Angle J: (2,-4)
Angle K: (-2,-4)
Angle L: (-2,-3)
Step-by-step explanation:
I counted each unit down from each angle till I got to the x axis then counted down how many units it took to get from the angle to the line.
if a set of difference scores with df = 8 has a mean of md = 3.5 and a variance of s2 = 36, then the sample will produce a repeated-measures t statistic of t = 1.75. true or false
Answers
The given statement "if set of difference scores with df = 8 has a mean of md = 3.5 then sample will produce repeated-measures t statistic of t = 1.75." is false because it is not possible to determine t statistic.
In a repeated-measures t-test, the t statistic is calculated using the sample mean difference, the standard deviation of the sample mean difference, and the sample size. The formula for calculating the t statistic in a repeated-measures t-test is:
t = (md - μd) / (s / √n)
where md is the mean of the difference scores, μd is the population mean of the difference scores (typically assumed to be zero), s is the standard deviation of the difference scores, and n is the sample size.
In the given statement, we are provided with the mean of the difference scores (md = 3.5) and the variance (s² = 36), but we do not have the sample size (n). Therefore, we cannot calculate the t statistic using the given information.
Hence, it is not possible to determine whether the sample will produce a repeated-measures t statistic of t = 1.75 based on the provided information.
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Slope -1/4, passes through (12,-4)
Answers
Answer:
y = - \(\frac{1}{4}\) x - 1
Step-by-step explanation:
Assuming you require the equation of the line
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - \(\frac{1}{4}\) , then
y = - \(\frac{1}{4}\) x + c ← is the partial equation
To find c substitute (12, - 4) into the partial equation
- 4 = - 3 + c ⇒ c = - 4 + 3 = - 1
y = - \(\frac{1}{4}\) x - 1 ← equation of line
what is the slope of the line that passes through the points (‐3,3) and (-3,13)
write in simplest form.
Answers
Answer:
undefined
Step-by-step explanation:
The movie theater sold 538tickets on Friday. On Saturday 907 tickets were sold how many more tickets were sold on Saturday
Answers
Answer:
369 more tickets
Step-by-step explanation:
907-538=369