The question is not typed properly! Complete question along with answer and step by step explanation is provided below.
Question:
Scores on the Critical Reading part of the SAT exam in a recent year were roughly Normal with mean 495 and standard deviation 118 .
You choose an SRS of 100 students and average their SAT Critical Reading scores. If you do this many times, the standard deviation of the average scores you get will be close to
a. 118
b. 118/100=1.18
c. 118/√100= 11.8
d. cannot be determined
Answer:
The standard deviation of the sample would be
[tex]s = \frac{\sigma}{\sqrt{n}} \\\\s = \frac{118}{\sqrt{100}} \\\\s = 11.8[/tex]
The correct option is (c)
Therefore, the standard deviation of the average scores you get will be close to 11.8
Step-by-step explanation:
From the given information,
The population mean SAT critical reading score is
[tex]\mu = 495[/tex]
The population standard deviation is
[tex]\sigma = 118[/tex]
You choose an SRS of 100 students and average their SAT Critical Reading score.
[tex]n = 100[/tex]
Since the sample size is quite large then according to the central limit theorem,
The mean sample will be the same as the population mean SAT critical reading score.
[tex]\bar{x} = \mu = 495[/tex]
The standard deviation of the sample would be
[tex]s = \frac{\sigma}{\sqrt{n}} \\\\s = \frac{118}{\sqrt{100}} \\\\s = 11.8[/tex]
The correct option is (c)
Therefore, the standard deviation of the average scores you get will be close to 11.8
Which point is a solution to the system;
2x + 2y = 18
-2x - 2y=-6
a
(3,5)
None of these
b
С
d
(1, 2)
(0,3)
(9,0)
e
Answer:
None of the listed
Step-by-step explanation:
[tex]Solve-for ;x -in\\ 2x+2y =18\\x = 9-y\\Substitute , 9-y -for ,x- in -2x-2y=-6\\-2(9-y)-2y =-6\\18+2y-2y=-6\\18 = -6\\The -statement- is -false \\Answer ; No -Solution[/tex]
When a certain number is subtracted from 10 and the result is multiplied by 2, the final result is 4. Find the number.
Answer:
8
Step-by-step explanation:
10-8 x 2 = 4
2 x 2 = 4
4 = 4
The number is 8, which is when subtracted from 10 and the result is multiplied by 2, then the result is 4.
What is Simplification?Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
Let the required number is x.
According to given condition,
When x is subtracted from 10 and the result is multiplied by 2, final result comes as 4.
Implies that,
2 (10 - x) = 4
10 - x = 2
x = 10 - 2
x = 8
The required number is 8.
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What are the values of the variables in the triangle below? If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.
Answer:
x = 12y = 4√3Step-by-step explanation:
To find x we use cosine
cos∅ = adjacent / hypotenuse
x is the adjacent
8√3 is the hypotenuse
cos 30 = x / 8√3
x = 8√3 cos 30
x = 12To find y we use sine
sin∅ = opposite / hypotenuse
y is the opposite
8√3 is the hypotenuse
sin 30 = y / 8√3
y = 8√3 sin 30
y = 4√3Hope this helps you
Suppose N coins lie heads up on a table. In one turn, you can turn over any (N−1) coins. Is it possible that N coins could lay tails up in any number of turns, if a N=15 ?
Answer:
The answer is no
Step-by-step explanation:
no
the domain of y=x^3 is
Answer:
This is a basic cubic function- thus the domain is all real numbers. You could think about domain as the possible x values for a graph. Since this cubic function extends from x=negative infinity to x=positive infinity, the range is all real numbers, or (-infinite, infinite) if you are told to write in interval notation.
Hope this helps!
The domain of [tex]y= x^{3}[/tex] are all real numbers, or R due to the fact that [tex]x^{3}[/tex] is a polynomial, which means its domain is R too.
Solution:
The domain of a particular expression is all real numbers except in the place where expression is undefined. The domain of any graph includes all the x-values that are solutions.
Interval Notation:
(-
Set-Builder Notation:
{x|x ∈R}
Determine the domain from the graph:
Thus, the domain of is:
(−∞,∞), {x|x∈R}
Learn more about the domain of polynomial:
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What is the range of the function y= 3 startroot x+8 endroot?
Answer:
First Option
Step-by-step explanation:
When we graph the expression, we should see that an infinite amount of y-values work. Since the domain comprises of all working x-values, we have (negative infinity, positive infinity) or all real numbers as our range, since we have an infinite amount of y-value outputs.
PLVHGCHVBJGUYFTDCGVHJGYUJH
Answer:
The correct option is (B).
Step-by-step explanation:
The conditional probability of an event, say A is the probability of that events (A) when it is known that another event, say X has already occurred.
For example, consider the experiment of drawing two marbles from jar consisting of 8 white and 2 red, without replacement. The probability of selecting a red marble after a white marble is known as conditional probability.
In this case it is provided that:
40% of the students are licensed drivers55% students are female.The statement:
"the probability that a student who is a licensed driver is a male"
Is a statement of conditional probability.
This is because it is known from previous information that the student is a licensed driver and we need to determine the probability of this student being a male.
Thus, the correct option is (B).
Find the value of x in each case:
Answer:
25.5°
Step-by-step explanation:
the sum of angle NMR and MRS is 180, so
2x + x + x + 78 = 180
4x = 180 - 78
4x = 102
x = 102/4 = 25.5°
There are eight marbles in a bag. Four marbles are blue (B), two marbles are red (R) and two marbles are green (G) Steve takes a marble at random from the bag. What is the probability that Steve will take a blue marble.
Answer:
1/2
Step-by-step explanation:
There are 8 marbles in total and 4 are blue, so 4/8 are blue. Then simplify 4/8 and you will get 1/2.
Answer:
1/2 or 50%
Step-by-step explanation:
Blue= 4, Red= 2, Green= 2
Total marbles= 8
P(B)= 4/8= 1/2 or 50%
HELP PLZZZZZZZZZZZ!!!!!!!
Answer:
A) 21/20
Step-by-step explanation:
Tangent = Opposite/Adjacent
II NEED THIS ASAP WILL GIVE BRAINLIEST Which number line correctly shows –3 – 1.5? A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to 3 and from 3 to 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 3 to negative 1.5 and from 0 to negative 3. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 1.5 to 1.5 and from 0 to negative 1.5.
Answer:
An arrow that goes from 0 to negative 3 and from negative three to 4.5
Give me brainliest,5stars,and thanks plz!
Answer:
arrow goes from negative 3 to negative 1.5 and from 0 to negative 3
Step-by-step explanation:
find 1st, 2nd, 3rd, 4th and 10th nTh term. rule is 3n+4
Answer:
When n is 1
3n+4
=3*1+4
=3+4
=7
When n is 2
3n+4
=3*2+4
=6+4
=10
When n is 3
3n+4
=3*3+4
=9+4
=13
When n is 4
3n +4
=3*4+4
=12+4
=16
When n is 10
3n+4
=3*10+4
=30+4
34
Hiiii someone please help me I'm confused please helppp
If the length of the bases of right triangle GHI are 9 units and 15 units respectively, what is the length of the hypotenuse of GHI?
Answer:
17.5 units
Step-by-step explanation:
a² + b²= c²
9² + 15² = c²
81 + 225 = c²
c² = 306
c = √306
c = 17.5
If you vertically stretch the quadratic parent function, f(x) = 2^x, by a factor of 3, what is the equation of the new function?
If you stretch on the y-axis then you are increasing/decreasing values at a every x.
The new function is therefore:
[tex]g(x)=3\cdot2^x[/tex]
Hope this helps.
Ishah spins a fair 5-sided spinner. She then throws a fair coin List all the possible outcomes she could get Ishah spins the spinner and tosses the coin. Work out the probability that she will get a 2 and a head PLZ HELP ITS URGENT WHO EVER WILL GIVE GOOD ANSWER WII GET 50 POINTS AND WOULD BE MARKED AS BRAINLIST
Answer:
The answer is 2/10 :P
Step-by-step explanation:
We have To list all the possibilities first ! : 1 head, 2 head, 3 head, 4 head, 5 head, 1 tail, 2 tails, 3 tails, 4 tails and 5 tails ! ;)
We have in total 10 possibilities !
So if we want to work out the probability that she will get a 2 and a head, the answer has to be 2/10 because we have 10 possibilities !
I hope I helped you ! :P
Can I get help with this problem?
Answer:
area of sector:
[tex] \frac{theta}{360} \times \pi \: {r}^{2} [/tex]
[tex] \frac{165}{360} \times \frac{22}{7} ( {8}^{2} )[/tex]
[tex] \frac{11}{24} \times \frac{1408}{7} [/tex]
[tex] \frac{1936}{21} [/tex]
[tex]92.19 \: {in}^{2} [/tex]
Answer:
the area of the sector can be rounded to [tex]92.2\,\,in^2[/tex]
Step-by-step explanation:
Use the fraction of the area of the circle associated with the red sector. Use a proportion to find the appropriate fraction knowing that a full circle [tex](360^o)[/tex] corresponds to the area:
[tex]Area=\pi\,R^2=\pi\, (8\,in)^2= 64\, \pi\,\,in^2[/tex]
then the proportion goes like:
[tex]\frac{64\,\pi\,\,in^2}{360^o} =\frac{sector}{165^o} \\ sector=\frac{64\,\pi\,165^o}{360^o}\,\,in^2\\sector\approx 92.15\,\,in^2[/tex]
Therefore, the area of the sector can be rounded to [tex]92.2\,\,in^2[/tex]
prove the following identity: sec x csc x(tan x + cot x) = 2+tan^2 x + cot^2 x please provide a proof in some shape form or fashion :/
Answer:
Step-by-step explanation:
Hello,
Is this equality true ?
sec x csc x(tan x + cot x) = 2+tan^2 x + cot^2 x
1. let 's estimate the left part of the equation
[tex]sec(x)csc(x)(tan(x) + cot(x)) =\dfrac{1}{cos(x)sin(x)}*(\dfrac{sin(x)}{cos(x)}+\dfrac{cos(x)}{sin(x)})\\\\=\dfrac{1}{cos(x)sin(x)}*(\dfrac{sin^2(x)+cos^2(x)}{sin(x)cos(x)})\\\\=\dfrac{1}{cos(x)sin(x)}*(\dfrac{1}{sin(x)cos(x)})\\\\\\=\dfrac{1}{cos^2(x)sin^2(x)}[/tex]
1. let 's estimate the right part of the equation
[tex]2+tan^2(x) + cot^2(x)=2+\dfrac{sin^2(x)}{cos^2(x)}+\dfrac{cos^2(x)}{sin^2(x)}\\\\=\dfrac{2cos^2(x)sin^2(x)+cos^4(x)+sin^4(x)}{cos^2(x)sin^2(x)}\\\\=\dfrac{(cos^2(x)+sin^2(x))^2}{cos^2(x)sin^2(x)}\\\\=\dfrac{1^2}{cos^2(x)sin^2(x)}\\\\=\dfrac{1}{cos^2(x)sin^2(x)}[/tex]
This is the same expression
So
sec x csc x(tan x + cot x) = 2+tan^2 x + cot^2 x
hope this helps
Zaheer, a boy of height 1.5m was watching the entire programme. Initially he observed the top of theflagpoleat an angle of elevation 300 . When he moved 10 m towards the flag post the angle of elevation of the top of the flagpole increased to 450. What is the height of the flag pole?
Answer:
[tex]h = 15.163\ meters[/tex]
Step-by-step explanation:
(Assuming the correct angles are 30° and 45°)
We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.
Let's call the initial distance of the boy to the pole 'x'.
Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:
[tex]tan(30) = (h - 1.5) / x[/tex]
Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:
[tex]tan(45) = (h - 1.5) / (x - 10)[/tex]
So rewriting both equations using the tangents values, we have that:
[tex]0.5774 = (h - 1.5) / x[/tex]
[tex]1 = (h - 1.5) / (x - 10) \rightarrow (h - 1.5) = (x - 10)[/tex]
From the first equation, we have that:
[tex]x = (h - 1.5) / 0.5774[/tex]
Using this value of x in the second equation, we have that:
[tex]h - 1.5 = \frac{ (h - 1.5) }{0.5774} - 10[/tex]
[tex]h + 8.5 = \frac{ (h - 1.5) }{0.5774}[/tex]
[tex]0.5774h + 4.9079 = h - 1.5[/tex]
[tex]0.4226h = 6.4079[/tex]
[tex]h = 15.163\ meters[/tex]
The graph of the function f(x)=-(x+3)(x-1) is shown below. What is true about the domain and range of the function?
Answer:
The 3rd one is correct.
Step-by-step explanation:
Help pls I will give BRAINLY
Answer: The missing length is 16/3
Step-by-step explanation:
First, you have to find the proportional value between the two lengths on the first figure and the two lengths on the second figure.
The first figure’s lengths are 8 and 9, so the shorter length is 8/9 of the longer length.
Now apply the same proportional value to the second figure.
6 * 8/9 = 48/9
48/9 = 16/3
While watching a football game, Jeevan decided to list yardage gained as positive integers and yardage lost as negative integers. After these plays, Jeevan recorded 14, –7, and 9. What was the net gain or loss?
Answer:
It was a gain, specifically 16
Step-by-step explanation:
14 + (-7) = 7
7 + 9 = 16
Please tell me if I'm wrong.
In the exam paper there are 12 questions. You will be rewarded 5 marks for each correct answer and will be deducted 2 marks if answered wrongly. Now Thurka scored 32 marks in the exam. So how many questions she did wrongly?
Answer:
Thurka got 8 questions right and 4 wrong.
Step-by-step explanation:
Thurka got "x" questions right and "y" questions wrong, therefore the sum of these questions must be equal to the total number of questions in that exam, which would be 12, therefore:
[tex]x + y = 12[/tex]
Since for each right question Thurka got 5 marks and for each wrong one 2 marks, then the total score can be written as:
[tex]5*x - 2*y = 32[/tex]
Solving the system of equations would give us the number of right and wrong questions.
[tex]\left \{ {{x + y=12} \atop {5*x-2*y=32}} \right.[/tex]
[tex]\left \{ {{2*x + 2*y=24} \atop {5*x - 2*y=32}} \right.[/tex]
[tex]7*x = 56\\x = \frac{56}{7} = 8[/tex]
[tex]y = 12 - x = 12 - 8 = 4[/tex]
Thurka got 8 questions right and 4 wrong.
Find the surface area of a cylinder with radius r = 6 and height h = 14.8 to the nearest tenth of a square cm. Use π = 3.14
Answer:
783.7 square units
Step-by-step explanation:
The formula for the surface area of a cylinder is ...
A = 2πr^2 + 2πrh = 2πr(r +h)
Using the given numbers, the area is ...
A = 2(3.14)(6)(6 +14.8) = 783.7 . . . square units
Answer:
About 783.7 square cm.
Step-by-step explanation:
The formula for the surface area of a cylinder is (2 * pi *r^2) + (2 * pi * r * h).
(2 * 3.14 * 6^2) + (2 * 3.14 * 6 * 14.8) = (2 * 3.14 * 36) + (2 * 3.14 * 6 * 14.8) = 6.28 * 36 + 6.28 * 88.8 = 226.08 + 557.664 = 783.744.
So, the surface area of the cylinder is about 783.7 square centimetres.
Hope this helps!
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Hello!
Answer:
(x + 1).
Step-by-step explanation:
Begin by using the rational root theorem to find possible factors of this equation.
We get the following:
±1, ±3, ±1/2, ± 3/2
We can use synthetic division to check numbers to see if they are a factor of the equation. After checking the possible numbers, -1 was found to produce a remainder of 0 when calculated:
-1 | 2 1 -4 -3
+ -2 1 3
2 -1 -3 0
Therefore, x = -1 is a possible root of this equation. Writing this as a factor would become:
x = -1
x + 1 = 0
(x + 1) is the factor.
I hope this helped you!
You have a wire that is 50 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum
Answer:
88.6647727273 cm²
Step-by-step explanation :
The perimeter of the square =(50/2)
= 25 cm
∴ Side of the square = (25/4)
= 6.25 cm
∴ Area of of the square = (6.25)²
= 39.0625 cm²
The circumference of the circle =(50/2)
= 25 cm
∴ 2πr = 25
⇒ r = 25/(22/7)(2)
Area of the circle = (22/7) { 25/(22/7)2} {25/(22/7)2}
= (25×25×7) / (2×2×22)
= 4365/88
= 49.6022727273 cm²
∴ Total area of the circle and the square =(49.6022727273+39.0625000000)
= 88.6647727273 cm²
Hope it helped
If yes mark BRAINLIEST!
While calculating HCF using index notation, we choose ____________ index of common prime factors.
Answer:
power index
Step-by-step explanation:
Prime factor index form is expression of a number as product of its prime number. Here the prime factor is listed only once. It is necessary to insert the required power index to solve for the HCF
Tanya wants to order 50 pizzas for a party. However, the pizza supplier can deliver only 45 pizzas on the given date. How will you describe the relationship between demand and supply of pizzas? A. Demand is equal to supply. B. Demand is greater than supply. C. Demand is less than supply.
Answer:
B
Step-by-step explanation:
The demand is 50 and the supply is 45. Since 50 > 45 the answer is that the demand is greater than the supply.
Answer:
b
Step-by-step explanation:
pleaseee help me w dis asap!!
Answer:
x=2 f(x)=5-x
o≤x≤3 f(x)=x
2＜x＜3 f(x)=1
3＜x≤5 f(x)=5-x
Step-by-step explanation:
Which of the following represents the translation of M (8,-2) along vector<-5, 1 > and its reflection
across the y-axis?
Step-by-step explanation:
M(8.-2), M'(x,y) , [tex]$$\overrightarrow{v}[/tex] =(-5,1)
[tex]$$\overrightarrow{MM'} = $$\overrightarrow{v}[/tex]
--> x - 8 = -5 --> x= 3
---> y+2 = 1 --> y =-1
so M'(3,-1) and its reflection y-axis is (-3,-1)
The correct representation of given transformations is [tex]\bold{M(8,-2)\rightarrow M'(3,-1)\rightarrow M''(-3,-1)}[/tex]
What is translation?"A translation is a geometric transformation where a geometrical figure is moved from one location to another location without changing its size, shape or orientation."
What is vector?"A vector is a quantity or phenomenon that has magnitude and direction."
To find the vector from point P(a ,b) and Q(m, n)
[tex]\overrightarrow{PQ}= < m-a,n-b >[/tex]
We have been given that, the translation of M (8,-2) along vector<-5, 1 >
Let (x, y) represents the translated point along <-5, 1>
This means, <-5, 1> = <x-8, y-(-2)>
⇒ x - 8 = -5
⇒ x = -5 + 8
⇒ x = 3
Also, y + 2 = 1
⇒ y = 1 - 2
⇒ y = -1
So, the translated point is (3, -1)
The reflection of (3, -1) along y-axis is (-3, -1) .
Hence the correct representation of transformations is[tex]\bold{M(8,-2)\rightarrow M'(3,-1)\rightarrow M''(-3,-1)}[/tex] that is, option (C)
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This grid follows two rules.
Rule 1 The sums of each row are equal.
Rule 2 The products of each column are equal.
The grid below follows the same two rules.
Work out the missing numbers.
a =
b =
c =
d =
Answer:
a = 4,
b = 12
c = 10
d = 15
Step-by-step explanation:
Since the product of each column is equal, therefore,
b*5 = 60
b = 60 ÷ 5 = 12
c*6 = 60
c = 60 ÷ 6 = 10
Since the sum of each column are equal, therefore,
12 + 10 + a = 5 + 6 + d
22 + a = 11 + d
Think of a number you can add to 22, and another number you can add to 11, which will make both sides equal. Add both numbers, whenmultiplied together should give you 60.
Factors of 60 are:
(a, d)
(1, 60) => 22 + a = 11 + d => 22+1 = 11+60 (incorrect)
(2, 30) => 22 + a = 11 + d => 22+2 = 11+30 (incorrect)
(3, 20) => 22 + a = 11 + d => 22+3 = 21+20 (incorrect)
(4, 15) => 22 + a = 11 + d => 22+4 = 11+15 => 26 = 26 [CORRECT]
(5, 12) => 22 + a = 11 + d => 22+5 = 11+12 (incorrect)
(6, 10) => 22 + a = 11 + d => 22+6 = 11+10 (incorrect)
Therefore,
a = 4,
d = 15