Answer:
The correct answer is C. Sample, because the collection of temperatures for four state capitals is a subset of all state capitals.
Step-by-step explanation:
we cannot fully understand this answer without first defining the parameters that are involved in the questions, the two key terms are; Population or sample.
Population: a population contains all the set of data which is in consideration and
Sample: Sample is the range of values in an experiment.
The main difference between a population :A population basically includes all the elements from a set of data while a sample only consists of one or more observations drawn from the population.
we can say safely that a sample is a subset of a population.
Since we it have been stated that the temperatures of from four states capitals out of 50 states then our explanation supports our answer.
PLEASE HELP!! URGENT! What is f[g(3)] for the following functions? f(x) = 4x2 − 3 g(x) = 5x − 2 A. f[ g(3) ] = 13 B. f[ g(3) ] = 163 C. f[ g(3) ] = 363 D. f[ g(3) ] = 673
Answer:
[tex]\boxed{f[ g(3) ] = 673}[/tex]
Step-by-step explanation:
[tex]f(x) = 4x^2 - 3 \\ g(x) = 5x - 2[/tex]
[tex]f(g(3))[/tex]
[tex]f(5(3)-2)[/tex]
[tex]f(15-2)[/tex]
[tex]f(13)[/tex]
[tex]f(13)=4(13)^2 -3[/tex]
[tex]f(13)=4(169) -3[/tex]
[tex]f(13)=676-3[/tex]
[tex]f(13)=673[/tex]
Answer:
f[g(3)] = 673
Step-by-step explanation:
I took the test
John lent 2,550 to Mohan at 7.5 per cent
per annum. If Mohan discharges the debt after
8 months by giving an old black and white
television and 1,422.50. Find the price of
the television.
Answer: $1,077.50 or $1,078.06 (see below)
Step-by-step explanation:
Since the interest is applied after 1 year and the debt was repaid in 8 months, no interest was accrued on the $2,550 loan.
Thus, the price of the tv is: $2,550 - $1,422.50 = $1,077.50
Note: If interest is charged for the 8 months (3/4 of a year), then the interest added to the loan amount is: 0.75(3/4) = $0.56
⇒ the the price of the tv is: $1,077.50 + $0.56 = $1,078.06
14. 2057 Q.No. 1(a) Sum to infinity:
1 + 3x + 5x2 + 7x3 +... (-1<x<1).
The sum appears to be
[tex]\displaystyle\sum_{n=0}^\infty(2n+1)x^n[/tex]
I'll assume you want to find out what function this sum converges to.
Let
[tex]f(x)=\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n[/tex]
with -1 < x < 1. Differentiating gives
[tex]f'(x)=\dfrac1{(1-x)^2}=\displaystyle\sum_{n=0}^\infty nx^{n-1}=\sum_{n=1}^\infty nx^{n-1}=\sum_{n=0}^\infty(n+1)x^n[/tex]
So we have
[tex]\displaystyle\sum_{n=0}^\infty(2n+1)x^n=f'(x)+xf'(x)[/tex]
[tex]\displaystyle\sum_{n=0}^\infty(2n+1)x^n=\frac{1+x}{(1-x)^2}[/tex]
Help me please!!!!!!!!!!!!!!!
Answer:
Interior = 60°
Exterior = 120°
Step-by-step explanation:
A triangle has 180° in total.
We have 2 angles, 70 and 50
70 + 50 = 120
For Angle U, we do 180-120 = 60
So the interior angle is 60°
A line is straight and is 180°
With angle U being 60°, and being on a straight line, 180-60 = 120
So exterior angle is 120°
Answer:
The measure of the exterior angle is 120 degrees.
The measure of the interior angle is 60
Step-by-step explanation:
To find the missing exterior angle, we need the adjacent angle measurement first. To do this, we add up all the interior angles and get 120 degrees. We need to subtract this from 180 in order to get the missing interior which is 60. Now, we subtract 60 from 180 to get the exterior angle since it is a supplementary angle. Hope this helped!
Help please!!!!!!Thank you
Answer:
A
Step-by-step explanation:
The rhombus cuts the shorter side of the rectangle in half so it's equal to 5
we use pythagoras
[tex]13^{2} = 5^2+x^2\\x^2= 169-25\\x^2= 144\\x=12[/tex]
so the larger side is 2x=24
so the area is 24*10=140cm^2
WILL MARK BRAINLIEST!!! 40 POINTS!! ACTUAL ANSWERS, PLZZZ
Answer:
Part A:
[tex]\left(x + 7\right)^{5}=x^{5} + 35 x^{4} + 490 x^{3} + 3430 x^{2} + 12005 x + 16807[/tex]
Part B:
The closure property describes cases when mathematical operations are CLOSED. It means that if you apply certain mathematical operations in a polynomial it will still be a polynomial. Polynomials are closed for sum, subtraction, and multiplication.
It means:
[tex]\text{Sum of polynomials } \Rightarrow \text{ It will always be a polynomial}[/tex]
[tex]\text{Subtraction of polynomials } \Rightarrow \text{ It will always be a polynomial}[/tex]
[tex]\text{Multiplication of polynomials } \Rightarrow \text{ It will always be a polynomial}[/tex]
But when it is about division:
[tex]\text{Division of polynomials } \Rightarrow \text{ It will not always/sometimes be a polynomial}[/tex]
Example of subtraction of polynomials:
[tex](2x^2+2x+3) - (x^2+5x+2)[/tex]
[tex]x^2-3x+1[/tex]
Step-by-step explanation:
First, it is very important to define what is a polynomial in standard form:
It is when the terms are ordered from the highest degree to the lowest degree.
Therefore I can give:
[tex]x^5-5x^4+3x^3-3x^2+7x+20[/tex]
but,
[tex]x^5+3x^3-3x^2+7x+20-5x^4[/tex] is not in standard form.
For this question, I can simply give the answer: [tex]x^5-5x^4+3x^3-3x^2+7x+20[/tex] and it is correct.
But I will create a fifth-degree polynomial using this formula
[tex]$(a+b)^n=\sum_{k=0}^n \binom{n}{k} a^{n-k} b^k$[/tex]
Also, note that
[tex]$\binom{n}{k}=\frac{n!}{(n-k)!k!}$[/tex]
For [tex]a=x \text{ and } b=7[/tex]
[tex]$\left(x + 7\right)^{5}=\sum_{k=0}^{5} \binom{5}{k} \left(x\right)^{5-k} \left(7\right)^k$[/tex]
[tex]\text{Solving for } k \text{ values: } 0, 1, 2, 3, 4 \text{ and } 5[/tex]
Sorry but I will not type every step for each value of [tex]k[/tex]
The first one is enough.
For [tex]k=0[/tex]
[tex]$\binom{5}{0} \left(x\right)^{5-0} \left(7\right)^{0}=\frac{5!}{(5-0)! 0!}\left(x\right)^{5} \left(7\right)^{0}=\frac{5!}{5!} \cdot x^5= x^{5}$[/tex]
Doing that for [tex]k[/tex] values:
[tex]\left(x + 7\right)^{5}=x^{5} + 35 x^{4} + 490 x^{3} + 3430 x^{2} + 12005 x + 16807[/tex]
Answer:
Ty for the free pointsd!
Step-by-step explanation:
Which of the following represents a term from the expression given?
3x2+8x - 10
Answer:
8x for plato
Step-by-step explanation:
I REALLY need help with this! Could someone please help me?
Answer:
Construction II
Step-by-step explanation:
Construct 3 perpendicular bisectors of the triangles sides; where they intersect is the point of concurrency. The distance from the point of concurrency to one of the vertices is the radius.
1) solve for the shaded area
8 cm
15 cm
4 cm
30 cm
www.analyzematlucom
Answer:
208 cm²
Step-by-step explanation:
First, you take the area of the whole rectangle, to do this you simply multiply 30 by 15, meaning that the big rectangle’s area is 450 cm².
Then, you take the area of the small rectangle (the unshaded one), to do this, you simply figure out the sides (they end up being 11 cm and 22 cm, you can find this out through subtracting) and to find the area of this rectangle, you multiply 11 by 22, which gives you 242 cm²
Now all that is left to do is to subtract the unshaded area by the whole rectangles area to find the shaded part! This will look like this: 450-242= 208 cm²
Which of the following is the concept illustrated with the misentered data? A. The procedure for constructing the confidence interval is not robust. The smaller the sample size, the less resistant the mean. Therefore, the confidence interval is more robust.
Answer:
B. Te procedure for constructing the confidence interval is robust. The larger the sample size, the more resistance the mean. Therefore, the confidence interval is more robust.
Step-by-step explanation:
Misentered data illustrates the concept that if the sample size is larger it will be more resistance to mean. This means confidence interval is more robust. In statistics, robust is a modification of confidence interval. It refers to strength of statistical model. Robust statistics is resistant to errors in statistical model.
Abenfos has a rectangular field.it is 85m long and 25m wide. How long is the fence round the field?
Answer:
The fence must have:
220 meters
Step-by-step explanation:
The perimeter of the field is equal to the long of the fence round the field.
then:
perimeter = 2(long + wide)
perimeter = 2(85 + 25)
perimeter = 2*110
perimeter = 220m
an appropriate metric unit for the mass of an eyelash.
Answer: Mass of a typical house cat:
Automatically eliminate B and D since they are not metric unit for mass
So, that leaves us with A and C. And since a cat is not huge nor weighs that much, the most reasonable one would be to measure it in grams.
Correct answer: C
please halp quickly i will give brainliest
Step-by-step explanation:
cross multiply to get 3x:= 10( -5/2)
3x=-25
x=25/3
x=8 rem 1
8.33
Alguien que sepa cómo se resuelve ésto que me ayudé a solucionarlo,es urgente,doy 25 puntos
38 42 34 54
Step-by-step explanation:
7have the best mayonnaise bianco babi naive albino pig is this real or not be a posible and I am a great day for 53feet
Endpoint 1: (-1,2)
Midpoint: (9,-6)
Endpoint 2=
Answer:
(19 , -14)
Step-by-step explanation:
Find the distance in between each x & y for a coordinate.
Let: (x₁ , y₁) = (-1 , 2)
Let: (x₂ , y₂) = (9 , -6)
From x₁ ⇒ x₂: 9 - (-1) = 10
From y₁ ⇒ y₂: -6 - 2 = -8 = 8*
*Remember that distance cannot be negative, but for the sake of this question, we will leave it as -8.
The distance between the x points are in intervals of 10. The distance between the y points are in intervals of 8. Add 10 & subtract 8 to their respective numbers to get endpoint 2:
(9 (+ 10) , -6 (- 8)) = (19 , -14)
Endpoint 2 = (19 , -14)
~
PLEASE HELP ASAP!!!
Answer:
Step-by-step explanation:
Any time you have compounding more than once a year (which is annually), unless we are talking about compounding continuously, you will use the formula
[tex]A(t)=P(1+\frac{r}{n})^{(n)(t)}[/tex]
Here's what we have:
The amount after a certain time that she has in the bank is 4672.12; that's A(t).
The interest rate in decimal form is .18; that's r.
The number of times the interest compounds is 12; that's n
and the time that the money is invested is 3.5 years; that's t.
Filling all that into the formula:
[tex]4672.12=P(1+\frac{.18}{12})^{(12)(3.5)}[/tex] Simplifying it down a bit:
[tex]4672.12=P(1.015)^{42}[/tex] Raise 1.015 to the 42nd power to get
4672.12 = P(1.868847115) and divide to get P alone:
P = 2500.00
She invested $2500.00 initially.
In the regular decagon shown, what is the measure of angle 1?
Answer:
the angle will be 144
Step-by-step explanation:
All sides are the same length (congruent) and all interior angles are the same size (congruent).
To find the measure of the angles, you need to divide 1440 by 10 which = 144
If you are solving for the central angle then divide 360 by 10 which = 36
Answer:
b
Step-by-step explanation:
Pleaseee helppppppppppppppppppp
To find Angle A we use cosine
cos ∅ = adjacent / hypotenuse
From the question
The adjacent is 17
The hypotenuse is 38
So we have
cos A = 17/38
A = cos-¹ 17/38
A = 63.4
A = 63° to the nearest degreeTo find Angle C we use sine
sin ∅ = opposite / hypotenuse
From the question
The opposite is 17
The hypotenuse is 38
So we have
sin C = 17/38
C = sin-¹ 17/38
C = 26.57
C = 27° to the nearest degreeHope this helps you
Find the value of x.
Answer:
x = 84°Step-by-step explanation:
A radius to the tangent point always forms a right angle with the tangent.
m∠OAB = m∠OCB = 90°
[tex]m\angle AOC=\stackrel{\big{\frown}}{ADC}=96^o[/tex]
The sum of the angles in the quadrilateral is 360°, so:
x = 360° - 2•90° - 96° = 84°
find the equation of the circle whose center and radius are given center (7,3) radius =7
Answer:
[tex](x-7)^2+(y-3)^2=7^2[/tex]
Step-by-step explanation:
[tex](x-h)^{2}+(y-k)^{2}=r^{2}\\[/tex]
Thus,
[tex](x-7)^2+(y-3)^2=7^2[/tex]
Halle en metros cuadrados la cantidad de cartón necesaria para elaborar el sólido que se muestra:: POR FIS ES DE UNA EVALUACION ALGUIEN QUE ME AYUDEEE:).
Answer:
La cantidad de cartón necesaria para hacer el sólido es de 165 m² de cartón.
Step-by-step explanation:
La figura en la pregunta consta de tres formas
1) Una pirámide cuadrada
Altura inclinada = 5 m
Longitud lateral base = 3 m
2) un cubo
Longitud lateral, s = 3 m
3) Un prisma rectangular
Longitud = 6 m
Altura = 3 m
Ancho = 3 m
El área de superficie de la pirámide cuadrada, [tex]S_P[/tex] = 2 × Altura inclinada × Longitud del lado base
[tex]S_P[/tex] = 2 × 5 × 3 = 30 m²
El área de superficie del cubo, [tex]S_C[/tex] = 6 ×(Longitud lateral, s)²
[tex]S_c[/tex] = 6 × 3² = 54 m²
El área de superficie del prisma rectangular, [tex]S_R[/tex] = 4 × largo × alto + ancho × alto
[tex]S_R[/tex] = 4 × 6 × 3 + 3 × 3 = 81 m²
La cantidad de cartón necesaria para hacer el sólido, [tex]S_S[/tex] = [tex]S_P[/tex] + [tex]S_C[/tex] + [tex]S_R[/tex]
[tex]S_S[/tex] = 30 + 54 + 81 = 165 m².
La superficie del cartón necesaria para construir el sólido es de 165 m².
Find each product.
1. (5a3b)(2ab)
2.5y(-y2+7y-2)
PLEASE HELP!!?!
Answer:
1).(5a3b)(2ab)
Expand
That's
15ab( 2ab )
we have the answer as
30a²b²2).5y(-y² + 7y - 2)
Expand
That's
- 5y³ + 35y² - 10yHope this helps you
Which side lengths form a right triangle?
Answer:
B
Step-by-step explanation:
sqrt30 -6^2 doesn't work
2.5 sqrt18 and 5 do work
how to solve for x in math
Answer:
20°
Step-by-step explanation:
4x+3x+2x=180°(Sum of interior anglevof triangle)
9x=180°
x=20°
I Hope this will be helpful for you.
20
Step-by-step explanation:
Just add the all terms and trim as equation then solve it simple ^ω^ .
[tex] \sf4x + 3x + 2x = 180 \degree[/tex]
[tex][ \sf \: \because \: Sum \: of \: all \: interior \: angle \: of \: a \: trianlge \: is \: 180 \degree][/tex]
[tex]9x = 180[/tex]
[tex]x = \dfrac{180}{9} [/tex]
[tex]x = 20[/tex]
The required value of x is 20
Would a 36-ounce box for $3.72 be a better bargain than a 3-pound box for $5.36?
Answer: 5.79
36
16 cost
Step-by-step explanation:
Solve =14+3 l = 14 j + 3 k for k. Select one: a. =+143 k = l + 14 j 3 b. =−143 k = l − 14 j 3 c. =3+14 k = l 3 + 14 j d. =3−14
Answer:
k= l/3 - 14/3j
Step-by-step explanation:
l = 14j + 3k
Solve for k
l = 14j + 3k
Subtract 14j from both sides
l - 14j =14j + 3k - 14j
l - 14j = 3k
Divide both sides by 3
l - 14j / 3=3k / 3
k= l/3 - 14/3j
Or
1/3(l - 14j) = k
Answer:
Which expression is equivalent to ‐10
k
‐
10
?
Step-by-step explanation:
HELP ME PLEASE!!!!!!!!!!!!!
A hospital found that a lower outside temperature indicates a higher number of patient visits. What can we determine from this information?
There is no correlation between outside temperature and number of patient visits.
There is a correlation between outside temperature and number of patient visits. However, there is no causation. This is because there is an increase in the number of patient visits with a decrease in the temperature outside.
There is a correlation between outside temperature and number of patient visits. There may or may not be causation. Further studies would have to be done to determine this.
Answer:
negative correlation
Step-by-step explanation:
Asked my teacher
I need answers to a and b please ;D
Answer:
Angle x is 75 degrees because 180-105 = 75 so the angle next to 105 is the alternate exterior angle to angle x which means they are equal
Step-by-step explanation:
Answer:
a) 75 deg
b) see below
Step-by-step explanation:
a)
x + 105 = 180
x = 75
b) <x and <ABF are supplementary since they are a linear pair, so
x + m<ABF = 180
Since lines AD and EH are parallel, corresponding angles ABF and EFG are congruent.
m<ABF = m<EFG
x + m<EFG = 180
x + 105 = 180
x = 75
PLs help asap will make brainlist I need to finish this
Answer:
B. 33
Step-by-step explanation:
45/30 = x/22
3/2 = x/22
2x = 3 * 22
x = 3 * 11
x = 33
Answer:
B. 33
Step-by-step explanation:
39 / 26 = 1.5
45 / 30 = 1.5
22 x 1.5 = 33
Question 30 The Royal Fruit Company produces two types of fruit drinks. The first type is pure fruit juice, and the second type is pure fruit juice. The company is attempting to produce a fruit drink that contains pure fruit juice. How many pints of each of the two existing types of drink must be used to make pints of a mixture that is pure fruit juice
Answer:
The answer is below
Step-by-step explanation:
The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 85% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 85% pure fruit juice?
Answer: Let x be the number of pints of the first fruit juice (i.e 65%) and y be the number of pints of the second fruit juice (i.e 90%).
Since the total number of pints to make the 85% pure fruit juice is 80, it can be represented using the equation:
x + y = 80 . . . 1)
Also, x pints of the first juice = 0.65x, y pints of the second juice = 0.9y and 80 pints of the mixture to be produced = 80(0.85) = 68. Therefore:
0.65x + 0.9y = 68 . . . 2)
We have to solve equation 1 and 2 simultaneously, first multiply equation 1 by 0.65 to get equation 3:
0.65x + 0.65y = 52 . . . 3)
Subtract equation 3 from 2 and solve for y:
0.25y = 16
y = 16/0.25 = 64
y = 64 pints
Put y = 64 in equation 1:
x + 64 = 80
x = 80 - 64 = 16
x = 16 pints
Therefore 16 pints of the 65% pure fruit juice, and 64 pints of the 90% pure fruit juice is required to make 80 pints of 80% fruit juice.