Answer:
0.024
Step-by-step explanation:
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 skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
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]
Suppose the true proportion of high school juniors who skateboard is 0.18.
This means that [tex]p = 0.18[/tex]
Samples of 250 high school juniors are taken
This means that [tex]n = 250[/tex]
By how much would their sample proportions typically vary from the true proportion?
This is the standard error, so:
[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]s = \sqrt{\frac{0.18*0.82}{250}}[/tex]
[tex]s = 0.024[/tex]
So 0.024 is the answer.
Suppose 1757 grams of sugar is 31.69% of 5544 grams of jam. How much jam would there be if there were 2500 grams of sugar?
7889 grams of jam
Step-by-step explanation:
In 5544 grams of jam, 1757 grams of sugar ==> 31.69%
let x be the grams of jam
2500 grams of sugar ==> 31.69%
x grams of jam ==> 100%
[tex]x \times 31.69\% = 2500 \\ x = 2500 \div 31.69\% \\ x = 7888.92 \: grams \\ x = 7889 \: grams \: (nearest \: whole \: number)[/tex]
-6d - 4e + 4 + 4d + 6e - 6
Answer:
-2d + 2e - 2
Step-by-step explanation:
Combine like terms. Like terms are terms with the same variable as well as same amount of said variables. Set the expression:
4d - 6d + 6e - 4e + 4 - 6
(4d - 6d) = -2d
(6e - 4e) = 2e
(4 - 6) = -2
-2d + 2e - 2 is your answer.
~
The base of a triangle is 20m and its area is 250m.What is the height of the triangle
Answer:
the height of the triangle is 25
Answer:
height = 25 m
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here A = 250 and b = 20 , then
[tex]\frac{1}{2}[/tex] × 20 × h = 250 , that is
10h = 250 ( divide both sides by 10 )
h = 25 m
which of the following choices lists the correct values of a,h, and k for the function f(x)=5x^2
Answer:
For a general quadratic equation like:
y = a*x^2 + b*x + c
a is the leading coefficient.
And we define the vertex of this as (h, k)
Where h is:
h = -b/(2*a)
and k is the y-value given when we use x = h.
Now, in this case we have:
f(x) = 5*x^2
We can see that the leading coefficient is 5, then a = 5.
To find the value of h we use:
h = -b/(2*a)
there is no lineal term, thus b = 0, then:
h = -0/(2*5) = -0/10 = 0
and k is given by
f(h) = f(0) = 5*0^2 = 0
then k = 0.
Concluding:
a = 5
h = 0
k = 0
The locksmith is 82.9 miles west of the bakery. The pet store is 44.5 miles west of the bakery. The toy store is 38.6 miles east of the bakery. The coffee shop is 71.5 miles east of the bakery. The library is 57.0 miles south of the bakery. The magic shop is 75.7 miles south of the bakery. How far apart are the toy store and the locksmith?
Answer:
82.9+38.6=121.5 miles far away.
Which equation represents the graphed function?
Answer:
y=-2x+3
Step-by-step explanation:
for one, you can see that the y-intercept is at 3, so for y=m*x+b, b is 3
next, you can count to get the slope. it moves 2 units down and one unit to the left, so for slope, which is rise over run, you are -2/1= -2
so y = -2x + 3
Using f(x) = 8x + 5 and g(x) = 7x - 2, find:f(g(4))
Answer:
f(g(4)) = 213
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationComposite FunctionsStep-by-step explanation:
Step 1: Define
Identify
f(x) = 8x + 5
g(x) = 7x - 2
Step 2: Find f(g(4))
Substitute in x [Function g(x)]: g(4) = 7(4) - 2Multiply: g(4) = 28 - 2Subtract: g(4) = 26Substitute in function value [Function f(x)]: f(g(4)) = 8(26) + 5Multiply: f(g(4)) = 208 + 5Add: f(g(4)) = 213[tex]\huge \qquad \boxed{\underline{\underbrace{\mathcal\color{gold}{Answer}}}}[/tex]
Here,
f(x) = 8x + 5 and g(x) = 7x - 2,
we have to find the f(g(4))
1st we have to solve the g(x)
g(x)=7x-2g(4)=7(4)-2g(4)=28-2g(4)=26Now substitute the functional value,
f(g(x))=8x+5f(g(4))=8(26)+5f(g(4))=208+5f(g(4))=213.°. The value of f(g(4)) is 213.
Y=1/3x+2 Is this a linear equation or nonlinear
Answer:
C
Step-by-step explanation:
i took the test
Solve for x
2x+16 X+16
Answer:
2x(16)+16(16)
32x+256
32x/32=256/32
x=8
JL = x+16
JK+KL = x+16
2x+16+7 = x+16
2x+23 = x+16
2x-x = 16-23
x = 7
Assignment - 3. Deductive Reasoning
State a true conclusion.
1) If two planes intersect, their intersection is a line.
2) Plane Rand plane S intersect.
Conclusion:
WRITER
Answer:
the answer is the intersection is a line
f(x) = x2. What is g(x)?
5
[ f(x)
g(x)
(3,3)
X
-5
5
x2
O A. g(x)=1
-02-G
B.
X
O c. g(x) = 3²
O D. g(x)=-* x2
Please help :/
The function g(x) = x²/3
Given that graph of the function f(x) = x²,
Since, the graph of f(x) is transformed to form the g(x).
We see that g(x) is passing by (3, 3)
Here, the scale factor is 1/3,
So, we can say that the equation of the function g(x) is g(x) = x²/3
Therefore, the required function is g(x) = x²/3
Learn more about function click;
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through: (4,4), slope
9/4
Answer:
y - 4 = (9/4)(x - 4)
Step-by-step explanation:
Here we're given the slope (9/4) of a line and one point (4, 4) on the line. The easiest form of the equation of a straight line to use here is the point-slope form:
y - k = m(x - h).
Here h = 4 and k = 4; the slope is m = 9/4.
Thus, the desired equation is
y - 4 = (9/4)(x - 4)
WILL MARK BRANLIEST
When describing a rotation, what
information must you include?
Answer:
The point you are rotating at (also called the centre of rotation)
The angle of rotation (usually in degrees but I don't know your school)
Direction of the turn
Step-by-step explanation:
Please help I’ll give brainliest
Answer:
6 ^ 6
Step-by-step explanation:
hope this helps!
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: C. \:{6}^{5} }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {6}^{2} \times {6}^{3} [/tex]
➺[tex] \: {6}^{2 + 3} [/tex]
➺[tex] \: {6}^{5} [/tex]
Note:-[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♬}}}}}[/tex]
find the outer perimeter of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate π.
Answer:
19.42 ft.
Step-by-step explanation:
The diameter of the semicircle is 6, so 3.14 x 6 = 18.84. Since it is a semicircle, we divide that by 2 to get 9.42.
The hypotenuse of the right triangles only matter for the perimeter. 5 + 5 = 10, and 9.42 + 10 = 19.42 ft.
The outer perimeter is 19.42 ft.
What is perimeter?Perimeter is the distance around the edge of a shape.
Given:
radius= 3 ft
height= 4 ft
slant height= 5 ft
diameter of the semicircle is 6 feet.
So,
= 3.14 x 6 = 18.84.
Since it is a semicircle,
=18.84/2
=9.42 feet
Now, the perimeter.
= 5 + 5 +9.42
= 19.42 ft.
Hence, the perimeter is 19.42 feet.
Learn more about perimeter here:
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In a community of 9,400 people the number of women exceeds the number of men by 1,500.Find the ratio of men to women in the community
Answer:
Step-by-step explanation:
x +(x+1500) = 9400
2x + 1500 = 9400
2x = 7900
x=3950 (men)
y = 5450 (woman)
5450 :3950
109:79
Brainly to whomever solves for x and y. Will report scams and the unhelpful "what" answers!
Answer:
[tex]x=\frac{125}{6},\\y=11[/tex]
Step-by-step explanation:
The angles marked [tex]7x-15[/tex] and [tex]5x-5y[/tex] are co-interior angles. Since all co-interior angles are supplementary (add up to 180 degrees), we have the following equation:
[tex]7x-15+5x-5y=180[/tex]
The two angles marked [tex]4x+4y[/tex] and [tex]2x+y[/tex] are also co-interior angles, thus must also add to 180 degrees.
Therefore, we have the following system of equations:
[tex]\begin{cases}7x-15+5x-5y=180,\\4x+4y+2x+y=180\end{cases}[/tex]
Combine like terms:
[tex]\begin{cases}12x-5y-15=180,\\6x+5y=180\end{cases}[/tex]
Divide the first equation by -2 and add both equations to get rid of [tex]x[/tex]:
[tex]\begin{cases}-6x+2.5y=-97.5,\\6x+5y=180\end{cases},\\-6x+6x+2.5y+5y=82.5,\\7.5=82.5,\\y=\boxed{11}[/tex]
Now substitute [tex]y=11[/tex] into any equation with [tex]x[/tex]:
[tex]6x+5y=180,\\6x+5(11)=180,\\6x+55=180,\\6x=125,\\x=\boxed{\frac{125}{6}}[/tex]
Verify that these two solutions work:
[tex](7(\frac{125}{6})-15)+(5(\frac{125}{6})-5(11))=180\:\checkmark,\\\\(4(\frac{125}{6})+4(11))+(2(\frac{125}{6})+11)=180\:\checkmark[/tex]
22 - 8x = -5x - 14
Find x
Please help this is due today
Helpppppppppppppppp
Dave collects model trains. So far he has 23 distinct train cars. How many ways can he put 7 cars together? = Answer 23 PAnswer 7 =23!(23−7)! =23!16! = Answer 23 ⋅ Answer 22 ⋅21⋅20⋅19⋅18⋅ Answer 17 = Answer
Answer:
He can put 7 cars together in 245,157 ways.
Step-by-step explanation:
The order in which the cars are put together is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
23 distinct train cars. How many ways can he put 7 cars together?
Combinations of 7 from a set of 23. So
[tex]C_{23,7} = \frac{23!}{7!(23-7)!} = \frac{23!}{7!16!} = 245157[/tex]
He can put 7 cars together in 245,157 ways.
What is the perimeter of the figure shown to the right.
Plss HELP MEE
Answer:
perimeter=a+b+c+d+e+f+g+h+I
x+13+3x+2+x+5+2+8+3x
CLT
x+x+3x+3x+13+2+5+2+8
8x+30
Jed works for Metal Fabricators, Inc. Which just lost a large contract and has asked employees to take a 12 percent pay cut. If Jed now makes $34,500 per year, what will his yearly pay be after the pay cut?
Answer: [tex]\$30,360[/tex]
Step-by-step explanation:
Given
Jed makes [tex]\$34,500[/tex] per year
After the loss of contract, a paycut of 12% is there
The amount after the paycut is
[tex]\Rightarrow 34,500(1-0.12)\\\Rightarrow 34,500\times 0.88\\\Rightarrow \$30,360[/tex]
helppppppp
Which equation represents the slope-intercept form of the line below? 5 y-intercept = (0,2) slope = HOME O A. y=2x+ 3 o B. y=-x-2 3 O C. y = 2x - 3 O D. y=-3x+2
Answer:
D. y = -3/7 + 2
Step-by-step explanation:
Slope intercept form: y = mx + b
m = slope
b = intercept
can someone please help for brainlest
x−115=223
Please help
Answer:
338
Step-by-step explanation:
X - 115 = 223
Add 115 to both the sides
X - 115 + 115 = 223 + 115
x = 338
Answer:
338
Step-by-step explanation:
x - 115 =223
Collect terms
x = 223 + 115
x = 338
Hope this helps you!
pls mark as brainlest ans
Bye!
Marlon withdrew $25 from his savings account every week for 5 weeks. Which expression is the best choice to help him determine the total amount of money he withdrew?
expression of three power of five rational number with a negative exponent is?
answer with step by step explanation
Answer:
[tex]\frac{1}{243}\\[/tex]
Step-by-step explanation:
The expression of three power of five rational number with a negative exponent is;
Algebra
write down the coefficient of x in 3(x)4x
A 12
B 3
C 0
by Emmanuel okorie
Answer:
nah its a.
Step-by-step explanation:
bakit?(#boyinthebrainly)
what’s 818*426 (multiplication)
Answer:
348468
Step-by-step explanation:
Answer:
348,468
Step-by-step explanation:
Hope it's help you !!!!:)
118°
D
B
angle C= ?
can anybody help pls?
Answer:
∡ c = 118°
Step-by-step explanation:
angle c is 118 degree (being vertically opposite angle)
∡ c = 118°
Answer:
118
Step-by-step explanation:
there is a property that i can't remember the name of that is dealing with angles across a flat line.
another way, is that 118+D=180, so D is 62
so that means D + C = 180, where D is 62 so C must be 118