Answer: x=19
Step-by-step explanation:
x=31-12
x=19
A college has a limited enrollment summer course that only accepts 50 students, selected at random from
the more than 2000 qualified students who apply each year. Of these applicants, 22% have completed 2
or fewer years of college. Suppose the registrar calculates the annual proportion of students accepted
into the course who have completed 2 or fewer years of college.
Which of the following distributions is the best approximation of the sampling distribution of p?
Each distribution uses the same scale.
Choose 1 answer:
0.22
0.22
Answer: C 0.22,
Step-by-step explanation:
We have a normal sampling distribution because we expect at least 10 successes and 10 failures per sample
Using the Central Limit Theorem, it is found that the best approximation of the sampling distribution of p is that it is approximately normal, with mean of 0.22 and standard deviation of 0.0586.
Central Limit Theorem The Central Limit Theorem establishes 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 proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]In this problem:
The proportion is of [tex]p = 0.22[/tex].Samples of 50 students are taken, hence [tex]n = 50[/tex].Then, [tex]s = \sqrt{\frac{0.22(0.78)}{50}} = 0.0586[/tex]
The sampling distribution of p is approximately normal, with mean of 0.22 and standard deviation of 0.0586.
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Find the surface area on a pyramid 12cm 7cm 7cm
Answer:
A=lw+l(w
2)2+h2+w(l
2)2+h2
Step-by-step explanation:
For the function defined by y = StartFraction 1 Over x squared EndFraction, y varies inversely as what quantity? a. x c. y b. 2x d. x squared
Answer:
D- x^2
Step-by-step explanation:
Just did the practice edge. 2021
For a given function, y is inversely proportional to x.
Option A is correct.
What is function?A function is a mathematical process that uniquely relates the value of one variable to the value of one (or more) other variables.
A function is a special type of relation where every input has a unique output.
A function is a correspondence between two sets(called the domain and range) such that to each element of the domain, there is assigned exactly one element of the range.
Given function
y = [tex]\frac{1}{x^{2} }[/tex]
If x = 1, y = [tex]\frac{1}{1^{2} }[/tex] = 1
If x = 2, y = [tex]\frac{1}{2^{2} }[/tex] = [tex]\frac{1}{4}[/tex] = 0.25
If x = 3, y = [tex]\frac{1}{3^{2} }[/tex] = [tex]\frac{1}{9}[/tex] = 0.111
If x is changing, y is also changing.
x is in denominator.
So, it means inversely proportional.
Y is inversely proportional to x.
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For an athletic competition only those boys who can run 10 kilometers, will be nominated. Johnny managed to run 9941 meters and 5456 centimeters and then he stopped totally exhausted and unable to continue. By how many centimeters did he miss the finish line?
Answer:
he can run 24240 kilometers
Step-by-step explanation:
Find the measures of the numbered angles in each kite.
Answer:
x = 9°
y = 26°
Step-by-step explanation:
4x + 6x = 90
10x = 90
x = 9
y + 7(9) +1 = 90
y + 64 = 90
y = 26
30 + q = 43 show work PLEASEE HELP
Answer:
13
Step-by-step explanation:
43 - 30 = 13
q = 13
Answer:
q=13
Step-by-step explanation:
first, subtract 30 from both sides of the equation
30-30+q=43-30
you should be left with q=13
that's your answer
solve the equation f/3+22=17
Answer:
f = -15
Step-by-step explanation:
f/3 + 22 - 22 = 17 - 22
f/3 + 0 = -5
f/3 = -5
f = 3 × (-5)
f = -15
Thus, The answer is -15
-TheUnknownScientist
Solve for x. Round all answers to the nearest tenth.
9
X
12
Answer:
I hope im right so so sorry if im not
Step-by-step explanation:
first find area
1/2 bh
1/2 of base times height
bh=(9)(12)=108
if there is a right angle then that is 90°
so do 108° -90° which is 18°
So your answer is 18°
The solution is, the value of x = 36.87.
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
here, we have,
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
here, we have,
from the given figure,
we get,
height = 9
base = 12
by, using the trigonometric relations,
we get,
tan x = 9/12
or, tan x = 0.75
or, x = 36.87
Hence, The solution is, the value of x = 36.87.
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Function operations
What is the value of S
Please help
Please No xtiny URLs
Answer:
s=89
Step-by-step explanation:
Jane drew a marble at random from a bag containing 4 blue, 6 red, and 10 point
5 green marbles. She drew from the bag 30 times, Here are the results of
her draw: 12 reds, 10 greens, and 9 blue. What is the experimental
probability that she will draw a green in her next draw? *
Answer: the chances are 5 out of 15 so in 30 draws she would draw 10 green hope it helps
The area of a large rectangular rug is 54 square feet. List all the possible pairs of
dimensions for the rug
Answer: 2 x 27, 3 x 18, 6 x 9
Step-by-step explanation:
PLEASE HELP:):):):):):):):)
Answer:
[tex]Area = 8[/tex]
Step-by-step explanation:
Given
The attached figure
Required
Determine the area
The shape is a trapezium. So, the area is:
[tex]Area = \frac{1}{2} *(Sum\ of\ parallel\ sides) * Height[/tex]
From the attached,
The height is 2
The parallel sides are: 2 and 6
So, the area is:
[tex]Area = \frac{1}{2} *(2 + 6) * 2[/tex]
[tex]Area = \frac{1}{2} *8 * 2[/tex]
[tex]Area = 8[/tex]
Hence, the area is 8 units square
I need help with my math assignment
Please help I’ll mark you as brainliest if correct
Answer:
The Bakery will sell 22 more vanilla cupcakes than lemon cupcakes.
Step-by-step explanation
Ruling out the answers here, with the first answer you can get that by looking at the graph and can be supported with the data set. With the third answer that can also be supported by the data set and is a educated prediction. And for the fourth answer same thing as the last ones. The only one that wouldn't make sense if you were trying to support it with the data of cupcakes would be the second answer. Which therefore should be your answer.
Hey guys I need help with this question
Regis was competing on a game show, and he ran into a losing streak. First, he bet half of his money on one question and lost it. Then he lost half of his remaining money on another question. Then he lost $300 on another question. Then he lost half of his remaining money on another question. Finally, he got a question right and won $200. At this point, the show ended, and he had $1,200 left. How much did he have before his losing streak began
Answer:
$9200
Step-by-step explanation:
Given :
Working backwards :
Amount left before last $200 winning = $1200 - $200 = $1000
Amount had before 4th bet loss : $1000 * 2 = $2000
Amount lost on third bet loss = $300
Total amount had before 2nd bet loss = $(2000 + 300) = $2300
Amount had before second loss = 2 * 2300 = $4600
Amount had before first bet loss = $4600 * 2 = $9200
Hence, amount had before starting to lose games is $9200
I’ll mark as BRANLIEST!!
30 POINTS!!
[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \huge{ \tt{ \: 900 \: }}}}}[/tex]
Find the area of the shaded region
9514 1404 393
Answer:
112 ft²
Step-by-step explanation:
The shaded area is the difference of the areas of the outside rectangle and the inside rectangle. Each of those areas is the product of the rectangle dimensions.
shaded area = (14')(12') -(8')(7') = (14')(12') -(14')(4') = (14')(12' -4')
shaded area = 112 ft²
find the domain for 5/x2-9
Answer:
x > -3 or -3 < x < 3 or x > 3
Step-by-step explanation:
[tex]x^{2}[/tex] - 9
= (x + 3)(x - 3)
the undefined singularity points are at x = 3 and x = -3
x > 3 or x > -3
I don’t know how to do this at all
9514 1404 393
Answer:
A) down
B) 25 m; 200 m/s
C) (20.41, 2065.82)
Step-by-step explanation:
When you are first introduced to equations for ballistic motion, you may be told that the formula is ...
h(t) = -4.9t² +v₀t +h₀ . . . . . height in meters at time t seconds
where v₀ is the initial upward velocity in meters per second, and h₀ is the initial height in meters.
When you are first introduced to quadratic equations, and the vertex form in particular, you may be told that the form is ...
f(x) = a(x -h)² +k . . . . . . . vertex (h, k) and vertical scale factor 'a'
When the scale factor (or leading coefficient) is negative the graph of the parabola opens downward. When it is positive, the graph opens upward.
Knowing these things, you are prepared to match the given equation to these patterns.
__
Part A: We observe that the leading coefficient of the function (-4.9) is negative, so the parabola opens down.
__
Part B: The constant in the first given equation is 25, so the initial height is 25 meters.
The coefficient of t in the first given equation is 200, so the initial velocity of the rocket is 200 m/s.
__
Part C: The vertex can be read from the second equation as ...
(h, k) = (20.41, 2065.82)
Find the slope of the line that contains the points (6, 5) and (8,7)
Answer:
The slope of the line is 1
Step-by-step explanation:
the formula for slope is
y¹-y²
-----
x¹-x²
y¹ and x¹ can be either of the points.
So let's make it (6,5)
This means that y² and x² will be (8,7)
The equation will be
5-7d -2
----- = ---
6-8 -2
which can be simplified to 1 by divied both by -2
NEDD HELP ASAP PLEASEEEEEEEEEEEE :/
CAN SOMEONE EXPLAIN AND MAYBE SHOW ME STEP BY STEP WHY THE ANSWER IS 75degrees. HURRY 50 points and brainiest!!!
Answer:
75 is auwsome kid. im a million.
Step-by-step explanation:
waka waka
Triangle LQP is isosceles, and in it, angle L is 30 degrees; so the other two angles add up to 150 degrees. Hence, angle LQP is 75 degrees.
I need someone too answer this for someone
Answer: C
Step-by-step explanation: In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points.
Les 2/3 de 9Litres ?
Answer:
6 litres
Step-by-step explanation:
9:3=3
2×3=6
therefore the answer is 6.
I would love for someone to help me with this.
Answer:
5x + 3y = 12
Step-by-step explanation:
We are given the line 5x + 3y = 6 and are to find the equation of a new line that is parallel to this one and goes through (3, -1).
Parallel lines have the same slope. The slope of the given line is determined by the coefficients 5 and 3 visible above. Therefore, the form of the equation of the new line is 5x + 3y = C, where we must determine the value of C.
Substitute 3 for x and -1 for y in 5x + 3y = C, obtaining: 5(3) + 3(-1) = C. Then 15 - 3 = 12 is the constant value, and the equation of the 'new line' is
5x + 3y = 12
fine the Value of t in the equation
Answer:
14.4
Step-by-step explanation:
6 x (t1/3 + t1/2) = 12(6)
2t + 3t = 72
5t = 72 /5
t= 14.4
C. Mrs. Hampton used 1/3 of a gallon of milk to feed three kittens. If she fed an equal amount
of milk to each kitten, how much milk would one kitten get?
Complete the sentence.
32% of 25 is
I need all the help I can get!
Answer:
8
Step-by-step explanation:
[tex]\frac{y}{25}= \frac{32}{100}[/tex]
y × 100 = 32 × 25
100y = 800
100y ÷ 100 = 800 ÷ 100
y = 8
Here is a formula for most percentage problems.