Answer:
11/50
Step-by-step explanation:
[tex] \frac{88}{400} = \frac{11}{50 } [/tex]
Answer:
total number of pupils = 400
number of pupils play musical instruments = 88
number of pupils who play a musical instrument as a fraction form = 88/400
in simplest form = 11/50
Let X={a,b,c,3,4,5) and Y = {b,d,f,3,5,7).
List the members of the set XU Y, using set braces.
XUY= { }
(Use a comma to separate answers as needed.)
Answer:
{a,b,c,d,f,3,4,5,7}
Step-by-step explanation:
If X={a,b,c,3,4,5}
Y={b,d,f,3,5,7}
THEREFORE {XUY}= {a,b,c,d,f,3,4,5,7}
XUY represents the union of sets X and Yas {a, b, c, d, f, 3, 4, 5, 7}.
What is a set?A set is defined as a group of objects in mathematics. Set names and symbols begin with a capital letter. According to set theory, a set's constituent parts can be included in anything.
The sets are given in the question, as follows:
X = {a,b,c,3,4,5}
Y = {b,d,f,3,5,7}
We have to determine the members of the set XUY, using set braces.
As per the question, the required solution would be as:
XUY = {a, b, c, d, f, 3, 4, 5, 7}
XUY represents the union of sets X and Y, which contains all elements that are in set X or set Y, or in both. Since none of the elements in set X or set Y are repeated, all of the elements in set X and set Y are included in the union without duplication.
Learn more about set theory here:
brainly.com/question/23454979
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6:45 + 85
No links pls
so first you wanna break down the 85 minutes so 1 hour is 60 minues now its 7:45 but we still have 25 minutes left sow now we add the minutes it will be 8:05
8:05 is the answer
Answer:
Step-by-step explanation:
Find the area of the trapezoid:
28 in.
16 in.
21 in.
What is the value of x in the equation (2x + 1)1/3 + 3 = 6
Answer:
x = 4
Step-by-step explanation:
Three triangles are drawn on the same piece of paper such that no two sides are on the same line. What is the maximum number of points of intersection of the three triangles?
Answer:
6
Step-by-step explanation:
What is the area of this trapezoid?
Answer: 6625 sqaure yards
Step-by-step explanation:
Area for a trapezoid formula is A=(base 1 + base 2)·height÷2
So base one is 120 and base two is 10+120+15=145
and the height is 50 so (120+145)·50÷2=6625 The area for the trapezoid is 6625
if x =31 and z=27 then what is the value of y?
Answer: y = 89
Step-by-step explanation:
[tex]x=\frac{y-z}{2} \\\\31=\frac{y-27}{2}\\\\62=y-27\\\\89=y[/tex]
Trig ratio and finding the missing angle pair.
Hello!
This is a question relating trigonometric ratios and a missing angle.
Here, since we are given all three sides of the triangle, we can use any of the three trigonometric ratios, sine, cosine, or tangent to solve this problem.
I'll be using the sine ratio for this problem.
The sine of an angle is the ratio between the triangle's opposite side and its hypotenuse.
Meaning the following equation could be set up.
[tex]sin(\theta)=\frac{45}{75}[/tex]
Now, we can just solve for theta.
[tex]\theta=sin^{-1}(\frac{45}{75})[/tex]
Make sure you're in degrees when you're solving this problem.
[tex]\theta=36.870[/tex]
Hope this helps!
10 points
question 5: a, b, and c.
Answer:
the First One By Adding Four
The Second One Add Five And Two
The Third Add Two And Substract Four
Someone explain and help me do this for me I really need the help
Answer:
74.13
6×10=60
A=pi r^2
3.14×3^2=28.26
28.26/2 =14.13 (because it is half a circle)
14.13+60=74.13
not sure if that is correct but that is what i got
A gym offers classes for students to attend. If both the range and median number of students attending each class was 13 students, which of the following box-and-whisker plots could represent the number of students attending the classes?
Answer:
3
one
will represent
the student
a student needs to fill a 12 gallon fish tank. The student has a container that holds 1/3 gallon of water. how many times will the student need to fill the container with water in order to fill the fish tank completely
Which expression is equivalent to 6x-9,
3
Answer:
the expresion its equal at the d9feremce between you and the excercise so its 7
A circle has a radius of 12. what is the circumference of the circle
Answer:
14 because of its addition
Step-by-step explanation:
πr²=x
=12+2+x
=14
Evaluate: show your work
Find the value of the variable.
102-8m=86
HELP. PLEASE HELP ME. I could really use your help if you evaluated it. Please and thank you :))
Answer:
this is easy. all you have to do is subtract 102 from 86 (which makes -16) and then divide by -8 (making m equal to 2).
Step-by-step explanation:
102 - 8m = 86
86 - 102 = -16
-16/-8 = 2
Answer:
Its 2 bby :)
Step-by-step explanation:
When a number (in this case it's a variable) is put next to another number we are multiplying. So 8×2=16 Lets test it out. 102-16=86
what is the equation of the line in slope-intercept form?
pls help i cant get this wrong
Answer:
y=mx+b
Step-by-step explanation:
If Sally purchases a car for $22,000 with a 5 year loan having a 2.5% interest rate, how much simple interest will she have to pay on the loan?
Answer:
$2750 worth of simple interest
Step-by-step explanation:
The equation for simple interest is to multiply the amount by the time by the rate:
22000 * 5 * 0.025 = 2750
Nadia's monthly budget is $2,750. How much does Nadia spend on Rent in a month, in dollars and cents?
Answer:
990
Step-by-step explanation:
Is 0.36279979176191 rational or irrational
Find the surface area of the rectangular prism below.
Answer:
630 ft
Step-by-step explanation:
(11 * 15) * 2 = 330 ft
(5 * 15) * 4 = 300 ft
330 + 300 = 630 ft
24-u=234 solve for u
Answer:
u= -210
Step-by-step explanation:
Hope this is helpful(please make me the brainliest!)
In a study of academic procrastination, the authors of a paper reported that for a sample of 451 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.74 hours and the standard deviation of study times was 3.10 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory psychology at this university.
(a) Construct a 95% confidence interval to estimate μ, the mean time spent studying for the final exam for students taking introductory psychology at this university. (Round your answers to three decimal places.) TWO VALUES
(b) The paper also gave the following sample statistics for the percentage of study time that occurred in the 24 hours prior to the exam.
n = 451 x = 43.78 s = 21.96
Construct a 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam. (Round your answers to three decimal places.)
Answer:
a) The 95% confidence interval to estimate μ is (7.435, 8.045) hours.
b) The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{3.3}{\sqrt{451}} = 0.305[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.305 = 7.435 hours
The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.305 = 8.045 hours.
The 95% confidence interval to estimate μ is (7.435, 8.045) hours.
Question b:
90% confidence interval means that [tex]Z = 1.645[/tex]
The margin of error is:
[tex]M = 1.645\frac{21.96}{\sqrt{451}} = 1.701[/tex]
43.78 - 1.701 = 41.079%
43.78 + 1.701 = 45.481%
The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).
18.0 x 9 but with a decimal
The angle of elevation from Nathan to a lighthouse is 74°.
If the lighthouse is 112 feet tall, how far is Nathan from the
base of the lighthouse?
Answer:
Nathan is 36.3910059 ft from the base of the lighthouse.
Step-by-step explanation:
So to find the base, you have to find the tan (both legs) of the right triangle that the lighthouse makes. The angle of Nathan to the lighthouse is 74° so to find the distances, you have to do the tan(72) = opp/adj
The opposite is 112, and we have to find the adjacent.
tan(72) = 112/adj
3.07768354 = 112/adj
adj = 112/3.07768354
adj = 36.3910059
Use slopes and y-intercepts to determine if the lines 6x+y=−1 and −2x−5y=1 are parallel.
Answer:
The two lines are not parallel.
Step-by-step explanation:
Every linear equation follows this structure:
y = mx + b
y is the y value
x is the x value
m is the gradient/slope of the line
b (or sometimes c) is the y-intercept of the line
Firstly, we have to get the y term on one side by itself.
6x + y = -1
-6x -6x
y = -6x - 1
-2x -5y = 1
+2x +2x
-5y = 2x + 1
Secondly, we make it so the y term is just the y value.
The first equation is already like this, so we don't need to do anything to that.
-5y = 2x + 1
÷ -5 ÷ -5
y = (2x + 1) / -5
This can be expanded and simplified to:
y = -2/5x - 1/5
Thirdly, we have to compare the slopes and y-intercepts.
y = -6x - 1
y = 2/5x - 1/5
If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.
The mean age of all 618 used cars for sale in a newspaper one Saturday last month was 7.7 years, with a standard deviation of 7.3 years. The distribution of ages is right-skewed. For a study to determine the reliability of classified ads, a reporter randomly selects 30 of these used cars and plans to visit each owner to inspect the cars. He finds that the mean age of the 30 cars he samples is 8.3 years and the standard deviation of those 30 cars is 5.7 years.
Required:
From the problem statement, which of the values 7.7, 7.3, 8.3, and 5.7 are parameters and which are statistics?
Answer:
7.7 and 7.3 are the parameters
8.3 and 5.7 are statistics
Step-by-step explanation:
In the given question,
7.7 and 7.3 represents the mean and standard deviation for all of the used cars for sale.
So,
It represents the population mean and standard deviation
So,
7.7 and 7.3 are the parameters .
Now,
8.3 and 5.7 is mean and standard deviation for sample , not for population.
∴ 8.3 and 5.7 are statistics.
Please help I’ll mark you as brainliest if correct!
Answer:
C. 27
Step-by-step explanation:
If ther are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.
so... 9*5=45
and you do the sane with the cats
9*3=27 therefore the answer is 27.
Answer:
C. 27
Step-by-step explanation:
If there are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.
so... 9*5=45
and you do the same with the cats
9*3=27 therefore the answer is 27.
can someone pls help me. it’s marked as late work and i don’t understand how to do
it. the question says “find the surface area of the rectangular prism” if you help i’ll mark u as brainlest tysm
Is the expression below a perfect square?
Is so then factor:
x^2 - 36
Answer:
(x-6)(x+6)
Step-by-step explanation:
If this circle has a radius of 7.4 and m
intercepted sector (shaded blue). Round answers to two decimal places.
Use the r button on your calculator.
Answer:
Gddghdhdhdhy heifer here early enough h her y