Answers
Answer:
the first is true
Step-by-step explanation:
Related Questions
The radius of a circle is 8 feet. What is the area of a sector bounded by a 144° arc?
Answers
Answer:
[tex] A_{sector} \approx \: 80.38 \: {ft}^{2} [/tex]
Step-by-step explanation:
[tex] A_{sector} = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ A_{sector} = \frac{144 \degree}{360 \degree} \times 3.14 \times {(8)}^{2} \\ \\ A_{sector} = 0.4 \times 3.14 \times {(8)}^{2} \\ \\ A_{sector} = 80.384 \\ \\ A_{sector} \approx \: 80.38 \: {ft}^{2} [/tex]
A city planner is studying the need for affordable housing in the city's Urban Planning Department. He learned from the census of all 75,342 households in the city that the median family income is $65,000, with an average of 2.9 persons-per-household, and 88% live in a single household unit. Previously, the planner had surveyed a group of 400 randomly selected households in the city. The surveyed households had a median family income of $52,000, an average of 3.2 persons per household, and 80% lived in a single household unit. 2
(a) For city planner's survey, identify the population and the sample,
Population: (Choose one)
Sample: (Choose one)
(b) Choose whether each number described below is a parameter or a statistic for the city planner's survey,
Number Parameter Statistic
The 80% of the group of randomly selected households that live in a single household unit
The average of 2.9 personer household of all the households in the city The $65,000 median family income of all the households in the city At a TV assembling facility, the Quality Assurance (QA) department tested a random selection of 600 TV's assembled in March.
Answers
Answer:
Population = 75,342 households
Sample = 400 randomly selected households
The percentage who live in a single household unit = Parameter
The average of 2.9 person per household of all households in the city = parameter
The $65,000 median family income of all the households in the city = Parameter
Step-by-step explanation:
The population refers to all the entire elements, observations or subject which fits into a particular study. In the scenario above, the entire household in the city of study. That is, the 75,342 households.
The sample is the subset of the population which is a smaller set of observation meant to be representative of the larger population. The sample here is the 400 randomly selected households.
Parameter differs from statistics in that numerical estimates or calculations obtained from the population is called the parameter while the numerical characteristics derived from the sample is called statistic.
In this exercise we have to use the knowledge of probability to calculate the chances of choosing a TV approved by the quality control, so:
400 randomly selected households
So, based on the information given in the statement, we have:
Population = 75,342 householdsSample = 400 randomly selected householdsSome parameters for this equation are:
The percentage who live in a single household unit The average of 2.9 person per household of all households in the cityThe $65,000 median family income of all the households in the cityThe inhabitants of a place refers to all the complete essential feature, attention or subject that fits into the study. In the sequence of events above, the complete household fashionable the city of study. That is, the 75,342 households.
The sample exist the subset of the inhabitants of a place that exist a tinier set of comment on something scrutinized intend expected representative of the best inhabitants of a place. The sample in this place happen the 400 carelessly picked households.
See more about statistics at brainly.com/question/10951564
find square root of 82369 by division method step by step
Answers
Answer:
I think this ans may help you
Evaluate the expression. (38 + 10) ÷ 12 + 52
Answers
4+52=56
Answer 56
Answer:
56
Step-by-step explanation:
(Use PEMDAS for the order of operations)
First, solve everything in parentheses. You get this:
48 ÷ 12 + 52
Next, divide. You get this:
4 + 52
Lastly, add for the answer:
56
You are charged $9.2 in total for a meal. Assuming that the local sales tax is 7.7%, what was the menu price of this item?
Answers
Answer:
9.91
Step-by-step explanation:
4(x + 3) + 2x = 6(x + 2)
Answers
Answer:
answer is 0
Step-by-step explanation:
In a survey of a community, it was found that 55%
like summer season, 20% like winter season, 40%
don't like both seasons and 750 like both seasons. By
using Venn diagram, find the number of people who
like winter season.
Answers
Answer:
The number of people who like winter season is 1000.
Step-by-step explanation:
Event event correspond to a set in the Venn diagram, and we use it to find the percentages.
I am going to say that:
Event A: Like summer season
Event B: Like winter season.
55% like summer season
This means that [tex]P(A) = 0.55[/tex]
20% like winter season
This means that [tex]P(B) = 0.2[/tex]
40% don't like both seasons
This means that 100% - 40% = 60% like at least one, which means that [tex]P(A \cup B) = 0.6[/tex]
Proportion who like both:
This is [tex]P(A \cap B)[/tex]. The measures are related by the following equation:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
Using what we have
[tex]P(A \cap B) = 0.55 + 0.2 - 0.6 = 0.15[/tex]
750 like both seasons.
This is 15% of the sample. So the total number of people is t, for which:
[tex]0.15t = 750[/tex]
[tex]t = \frac{750}{0.15}[/tex]
[tex]t = 5000[/tex]
20% like winter season
Out of 5000. So
0.2*5000 = 1000
The number of people who like winter season is 1000.
1. Isosceles Triangle The two equal sides of an isosceles triangle are each 42
centimeters. If the base measures 30 centimeters, find the height and the
measure of the two equal angles. Round your answer to the nearest tenth.
Answers
Answer:
1. H = 29 cm
2. θ = 44°
Step-by-step explanation:
1. We can find the height of the triangle by considering the isosceles triangle as two right triangles. The height can be found by using Pitagoras:
[tex] L^{2} = H^{2} + B^{2} [/tex]
Where:
L: is the sides of the isosceles triangle = 42 cm
B: is the base = 30 cm
H: is the height =?
Then, the height is:
[tex] H = \sqrt{L^{2} - B^{2}} = \sqrt{(42 cm)^{2} - (30 cm)^{2}} = 29.4 cm = 29 cm [/tex]
2. The two equal angles (θ) can be found using the following trigonometric identity:
[tex] cos(\theta) = \frac{B}{L} [/tex]
[tex] \theta = cos^{-1}(\frac{30 cm}{42 cm}) = 44.4^{\circ} = 44^{\circ} [/tex]
Hence, the two equal angles are 44°.
I hope it helps you!
What is the solution of x = 2 + StartRoot x minus 2 EndRoot?
Answers
Answer:
x= 2 or x=3
Step-by-step explanation:
Both satisfy the equation. I hope this helped.
Answer:
x=2 or x=3
Step-by-step explanation:
just took the test it is C
Triangle ABC is rotated 45° counterclockwise about vertex A to obtain triangle XYZ. If the m∠ABC is equal to 30°, what is the m∠XYZ? Neeed this fast asap
15°
30°
45°
75°
Answers
Answer:
B,30
Step-by-step explanation:
Answer:
B,30°
Step-by-step explanation:
Determine the 12th term of the following Arithmetic sequence, 5 ; 12; 19;... (2)
Answers
Answer:
26-33-40-47-54-61-68-75-82-89-96
According to the Stack Overflow Developers Survey of 20184, 25.8% of developers are students.The probability that a developer is a woman given that the developer is a student is 7.4%,and the probability that a developer is a woman given that the developer is not a student is76.4%. If we encounter a woman developer, what is the probability that she is a student
Answers
Answer:
0.0326 = 3.26% probability that she is a student.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Woman developer
Event B: Student
Probability that the developer is a woman:
7.4% of 25.8%(students).
76.4% of 100 - 25.8 = 74.2%(not students). So
[tex]P(A) = 0.074*0.258 + 0.764*0.742 = 0.58598[/tex]
Student and woman developer.
7.4% of 25.8%(students), so
[tex]P(A \cap B) = 0.074*0.258 = 0.019092[/tex]
If we encounter a woman developer, what is the probability that she is a student
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.019092}{0.58598} = 0.0326[/tex]
0.0326 = 3.26% probability that she is a student.
The length of a rectangle is twice the width. The area is 32 yd2. Find the length and the width.
Answers
W=4 ANS. FOR THE WIDTH. L=2*4=8 ANS.
Mark as brainlist
Researchers doing a study comparing time spent on social media and time spent on studying randomly sampled 200 students at a major university. They found that students in the sample spent an average of 2.3 hours per day on social media and an average of 1.8 hours per day on studying. If all the students at the university in fact spent 2.2 hours per day on studying, with a standard deviation of 2 hours, the sampling distribution of the time spent studying has approximate distribution
Answers
Answer:
The sampling distribution of the time spent studying has an approximately normal distribution, with mean 2.2 and standard deviation 0.1414.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Each student:
Mean of 2.2 hours, standard deviation of 2 hours.
Sampling distribution of the time spent studying has approximate distribution
Sample of 200.
By the Central Limit Theorem,
Approximately normal
Mean 2.2
Standard deviation [tex]s = \frac{2}{\sqrt{200}} = 0.1414[/tex]
The sampling distribution of the time spent studying has an approximately normal distribution, with mean 2.2 and standard deviation 0.1414.
Write 3.08 × 10-5 as an ordinary number.
Answers
Answer:
0.0000308
Step-by-step explanation:
there are 5 places that it has moved from.
Write an equation in slope intercept form of the line that passes through the points (2.6) and (-4,-2).
Answers
2 and 1/4 - 3/4 ????
Answers
Answer:
1.5
Step-by-step explanation:
Find an angle 0 coterminal to 904°, where 0° < 0 < 360°
Answers
Answer:
184
Step-by-step explanation:
What you can do is just divide 904/360 and the remeinder is the answer so for this 1080 is too big so 720 and it is 904-720=184
Kayla works as a hairdresser. She earned $228.50 in tips in five days. If she earned the same amount each day, about how much did
Kayla earn per day? Explain your answer.
Answers
Answer: $45.70 per day
Step-by-step explanation:
$228.50/5=$45.70 per day
Heyyyy can someone help me ?? is for today ;-;
Zuleima puts her pebbles on the table. Make groups of 3 and have 1 left. Then make groups of 5 and have 2 left. How many stones does Zuleima have?
a) 32 b) 10 c) 26 d) 1000 e) 22
Answers
Answer:
E) 22
Step-by-step explanation:
To solve this, use process of elimination. (If they are both '☆'s, it is the answer.)
A)32
3n+1 x 5n+2 ☆
B) 10
3n+1 ☆ 5n+2 x
C) 26
3n+1 ☆ 5n+2 x
D) 1000
3n+1 ☆ 5n+2 x
E) 22
3n+1 ☆ 5n+2 ☆
The answer is E) 22
Classify the numbers. Some numbers may belong in more
than one box.
Answers
Answer:
there's no attachment? can you re list
notacion cientifica 123000000
Answers
Answer:
puro puto✌✌✌✌
Answer:
1.23× 10 ^8
Step-by-step explanation:
mark brainliest
I need help please help me
Answers
Answer:
a. 85 m
b. 96 cm
Step-by-step explanation:
Work for (a.)
95 x 2 = 190. 360 - 190 = 170170 ÷ 2 = 85Final Answer: 85 mWork for (b.)
58 x 2 = 1165568 ÷ 58 = 96 To make sure: 96 x 58 = 5568Final Answer: 96 cmPlease help me!!!!!!!!
Answers
Answer:
They have the same domain and range (0,∞)
Step-by-step explanation:
A typist type 1800 words in 1 hour. find the number of words she can type per minute.
Answers
Answer:
1800/60=30
Step-by-step explanation:
Answer:
the first answer is correct
Can anyone help with 11-15?
Answers
12. 2/6
13. 1/4
14. 1/5
15. 1/3
Answer:
11. 1/3
12. 2/5
13. 1/4
14. 1/5
15. 1/3
Step-by-step explanation:
Divide by GCF
If sin(x) = 0.4, then what is tax (x)?
Answers
Answer:
0.43
Step-by-step explanation:
x = sin^-1(0.4)
x = 23.57
tan(23.57) = 0.436
Six out of the 12 members of the school choir boys. In the simplest form, what fraction of the choir is boys? Pls help out with this question
Answers
Hope that helps :)
Assume that in the year 2019, 843,000 people attended the Christmas Eve celebration at Walt Disney World
In 2020, attendance for the Christmas Eve celebration is expected to increase by 35%. What is the total
number of people expected at Walt Disney World for this event?
Total number of people
Expected at Walt Disney world for this event
Answers
Answer:
1138050
Step-by-step explanation:
Multiply 843,000 by 0.35 and then add the numbers together.
Please mark brainliest
prove that:
[tex] |x \: y \: z \\ {x \: {y \\ {z \\ yz \: zx \: xy = (y - z) \: (z - x) \: (x - y) \: (xy + yz + zx)}^{2} }^{2} }^{2} | [/tex]
Answers
Answer:
???
Step-by-step explanation:
moris code?
Answer:
c, none of the above
Step-by-step explanation:
khan