Answer:
The true statement about Kendra's sample is:
b) Kendra's samples are precise but not accurate.
Step-by-step explanation:
a) Data and Calculations:
Average age of dogs currently alive = 4.8 years
Average ages of dogs in Kendra's sample
Week Average Age (in years)
1 3.7
2 3.8
3 4.2
4 4.1
5 3.9
6 3.9
7 4.0
Total 27.6
Mean = 3.9 (27.6/7)
b) Accuracy refers to how close Kendra's sample mean age of dogs is to the average age value as stated in the Modern Dog Magazine. While the Magazine stated an average age of 4.8 years, Kendra's sample produced a mean of 3.9 years. On the other hand, precision refers to how close Kendra's sample measurements are to each other. With a mean of 3.9 years, the sample measurements are very close to each other. Therefore, we can conclude that "Kendra's samples are precise but not accurate."
Answer:
Kendra's samples are precise but not accurate.
Step-by-step explanation:
To be accurate and precise they should be around 4.8 for all the measures. We can see that they are all relatively close to one another (between 3.7 and 4.2), so they are precise. However, they are all are smaller than 4.8, so they are not accurate.
Find the volume of the given prism.
A) 6,336
B) 3,568
C) 1,784
D) 1,920
Answer:
[tex]\text{D. }1,920}\:\mathrm{in^3}[/tex]
Step-by-step explanation:
The volume of a rectangular prism is given by [tex]A=l\cdot w\cdot h[/tex], where [tex]l[/tex] is the length of the prism, [tex]w[/tex] is width, and [tex]h[/tex] is height.
Therefore, the area of the given prism is equal to [tex]8\cdot 12 \cdot 20=\boxed{\text{D. }1,920\:\mathrm{in^3}}[/tex].
In the accompanying diagram of circle o, chords AB and CD
intersect at E. If AE = 3, EB = 4, CE = x, and ED = x +1,
find CE
Answer:
x = 3
Step-by-step explanation:
Given :
AE = 3, EB = 4, CE = x, and ED = x +1,
Equating chord AB and CD
AE*EB = CE*ED
3*4 = x*(x+1)
12 = x² + x
x² + x - 12 = 0
x² +4x - 3x - 12 = 0
x(x + 4) - 3(x + 4)
(x + 4) = 0 or (x - 3) = 0
x = - 4 or x = 3
Distance can't be negative :
x = 3
a phone company uses the expression 1.25 + 0.10m to calculate the cost of a phone call that lasts m minutes. what is the cost of a call that lasts 20 minutes?
Answer:
[tex]f(20) =3.25[/tex]
Step-by-step explanation:
Given
[tex]f(m) = 1.25 + 0.10m[/tex]
Required
[tex]f(20)[/tex]
We have: [tex]f(m) = 1.25 + 0.10m[/tex]
Substutute 20 for m
[tex]f(20) =1.25 + 0.10*20[/tex]
[tex]f(20) =1.25 + 2[/tex]
[tex]f(20) =3.25[/tex]
In the accompanying diagram of circle O, chords AB and CD intersect at E. If AE = 3, EB = 4, CE = x, and ED = x + 1, find. CE.
Answer:
CE = 3
Step-by-step explanation:
Given:
AE = 3
EB = 4
CE = x
ED = x + 1
Required:
CE
Solution:
First we need to determine the value of x by generating am equation as follows:
CE × ED = AE × EB (Interacting Chords Theorem)
Substitute
x × (x + 1) = 3 × 4
x² + x = 12
Subtract 12 from each side
x² + x - 12 = 12 - 12
x² + x - 12 = 0
Factorize to find the value of x
x² + 4x - 3x - 12 = 0
x(x + 4) -3(x + 4) = 0
(x - 3)(x + 4) = 0
x - 3 = 0
x = 3
Or
x + 4 = 0
x = -4
Let's use the positive value of x
CE = x = 3
Please solve for angle C
Answer:
29
Step-by-step explanation:
tan c = opposite / adjacent
c = tan -1 (25/45) = 29
Answer:
Step-by-step explanation:
tan C = opp/adj
sin C = 25/45
sin C = 0.5556
C = sin^-1 0.5556
= 33.75
PLEASE HELP ME!!!
WILL BE WORTH 10 POINTS!!!
I WILL MARK BRAINLIEST!!!
Please answer the 3 questions on the picture.
I would appreciate it so much!
[tex]xy = 3xy + 25 \\ 3 = y - 20[/tex]
solve for x andy
Answer:
x= -0.5
y= 23
Step-by-step explanation:
3=y-20 so y= 23
xy=3xy+25
23x=69x+25
-46x= 25
x=-0.5
A parallelogram is shown below: A B A 2 foot D с 3 feet Part A: What is the area of the parallelogram? Show your work. (5 points) Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)
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Answer:
Part A: 2 ft²
Part B: draw a diagonal (AC, for example); 1 ft²
Step-by-step explanation:
Part A:
The area of a parallelogram is given by the formula ...
A = bh
where 'b' is the length of the base, and 'h' is the perpendicular distance between the bases.
Using the numbers shown on the diagram, the area is ...
A = (3 ft)(2/3 ft) = 3·2/3 ft²
A = 2 ft² . . . . . area of the parallelogram
__
Part B:
Typically, a polygon is partitioned into triangles by drawing diagonals from one of the vertices. It does not matter which one. (In a quadrilateral, only one diagonal can be drawn from any given vertex.) Here, the "base" of each triangle is the same as the base of the parallelogram: 3 feet. The "height" of each triangle is the same as the height of the parallelogram: 2/3 ft.
The area of a triangle is given by the formula ...
A = 1/2bh
A = 1/2(3 ft)(2/3 ft) = (1/2)(3)(2/3) ft²
A = 1 ft² . . . . . . . . area of each triangle
_____
Additional comment
It should be no surprise that the area of each of the two congruent triangles is 1/2 the area of the parallelogram.
Kate lanes a letter against her house to get to the roof. The house is 25 feet tall and I put a ladder is 15 feet away from the side of the house. What is the angle that the latter makes with the ground?
Answer:
this is the correct answer
The pyramid shown below has a square base, a height of 7, and a volume of 84 cubic units.
What is the length of the side of the base?
12
36
6
18
QueSLUIT Consider the universal set U of all the integers from 2 to 20, including both 2 and 20. Let B be the set of multiples of 2, not counting 2 itself. Find Bº. Write your answer in standard set notation, for example {1,2,3,4,5). Do not use the notation B° = in the answer
Step-by-step explanation:
{2,3,5,7,9,11,13,15,17,19}
Which graph shows Point Pin Quadrant II and Point Q as (3,-4)
Answer:
p would be up top on the negative side (left)
q would be at the bottom on the positive side (right)
PLEASE HELP DUE IN 15 MINUTES
9514 1404 393
Answer:
3280Step-by-step explanation:
The equation y = 8x means the value given for x is multiplied by 8.
1. 8 × 4 = 32 . . . scales in 4 days
2. 8 × 10 = 80 . . . scales in 10 days
a rectangular room is 15ft long, 14ft wide and 8.0ft high. what is the length of the longest diagonal from one corner to another of the room
Answer:
20.51ft
Step-by-step explanation:
Given data
Length= 15ft
Width= 14ft
Height= 8ft
Because we want to find the diagonal, let us use the Length and the width
We can get the diagonal by applying the Pythagoras theorem
z^2= x^2+y^2
z^2= 15^2+ 14^2
z^2= 225+ 196
z^2= 421
square both sides
z= √421
z=20.51 ft
Hence the diagonal is 20.51ft
This college has one of the highest median graduation rates and the best consistency in graduation rates over time.
Answer:
70 has the most groups
Step-by-step explanation:
from the graph
Answer:
Step-by-step explanation:
The dark blue graph illustrates these two requirements. The rates represented there have the highest median.
Same graph illustrates consistency in outcomes, as the graduation rates vary little from their median.
II. Which of the following is a solution of
the equation 25m 25?
A 0.10
B 0.15
C 0.18
D 0.30
Answer:
A 0.10
Step-by-step explanation:
We are given the following equation:
[tex]25m = 2.5[/tex]
Passing 25 to the right side of the equality, doing the inverse operation(division).
[tex]m = \frac{2.5}{25} = 0.1[/tex]
Thus, the correct answer is given by option A.
Find the value of x. Leave your answer in simplest radical form.
Write the equation in standard form for the circle with center (0, -2) and radius 7.
Answer:
(x)^2+ (y+2)^2 = 49
Step-by-step explanation:
The standard form of a circle is
(x-h)^2+ (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x-0)^2+ (y--2)^2 = 7^2
(x)^2+ (y+2)^2 = 49
The first step to solve the equation StartFraction x over 4 EndFraction minus three-fourths = 16 is shown below.
StartFraction x over 4 EndFraction minus three-fourths + three-fourths = 16 + three-fourths
Which property was applied in this step?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equalit
x^2+2x+7=21 the approximate value of the greatest solutoon to the equation, rounded to the nearest hundreth
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Answer:
x ≈ 2.87
Step-by-step explanation:
We can subtract 6 to put the equation into a form easily solved.
x^2 +2x +1 = 15
(x +1)^2 = 15
x +1 = √15 . . . . . for the greatest solution, we only need the positive root
x = √15 -1 ≈ 2.87
estimate the quotient for the following problems. 482 ÷ 5
Answer:
100
Step-by-step explanation:
482 ÷ 5 = 96.4
96.4 -> 100
Hope this helps! Brainliest?
Answer:
Quotient: 96
Step-by-step explanation:
482/5= 96R2
Quotient: 96
Remainder: 2
Please hurry
A rectangular prism has a length of 9 cm, a width of 3 cm, and a height of 5 cm.
5
9
Which expressions can be used to find the volume of the prism?
Choose two correct answers.
(5)(3)(9)
27(5)
9(3+5)
5 (279)
Answer:
the first one and the second
Step-by-step explanation:
.
A student needs 12 minutes to solve an algebra problem how many minutes does the student need to solve 6 problems
Answer:
72
Step-by-step explanation:
12 * 6 = 72
of course, IRL not every problem takes the same amount of time
Answer: if they are all algebra questions then 72
Step-by-step explanation:
12 + 12 + 12 + 12 + 12 + 12= 70
Does this a graph show a function? Explain how you
know.
O A. Yes; there are no y values that have more than one x-value.
O B. No; there are y-values that have more than one x-value.
O C. Yes; the graph passes the vertical line test.
O D. No; the graph fails the vertical line test.
Answer:
D. No; the graph fails the vertical line test.
Step-by-step explanation:
If any vertical line intersects a graph more than once it is NOT a function
What is an equation for the line that passes through the coordinates (2, 0) and (0, 3)?
lim x->1+( sin(1-x)-(e^(x-1))+1)/ lnx
We're given the one-sided limit,
[tex]\displaystyle\lim_{x\to1^+}\frac{\sin(1-x)-e^{x-1}+1}{\ln(x)}[/tex]
Evaluating the limand directly at x = 1 gives the indeterminate from
(sin(1 - 1) - exp(1 - 1) + 1) / ln(1) = 0/0
so we can potentially solve the limit by applying L'Hopital's rule. Doing so gives
[tex]\displaystyle\lim_{x\to1^+}\frac{\sin(1-x)-e^{x-1}+1}{\ln(x)}=\lim_{x\to1^+}\frac{-\cos(1-x)-e^{x-1}}{\frac1x}=\frac{-\cos(0)-e^0}{\frac11}=\boxed{-2}[/tex]
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
5
60°
10
x
Not drawn to scale
Answer:
D
5 sq.rt. 3
Step-by-step explanation:
use the pythagorean theorem: a^2 + b^2 =c^2
5^2 + x^2 = 10^2
25+ x^2 =100
x^2 = 100 - 25
x^2 =75
x = [tex]\sqrt{75}[/tex]
x = 5 [tex]\sqrt{3}[/tex]
x−9≥−12 Express your answer as an inequality.
Answer:
x ≥ −3
Step-by-step explanation:
Step One : Add 9 to both sides.
x − 9 + 9 ≥ −12 + 9
x ≥ −3
There is no more to be done, that is our answer. x ≥ −3.
Hope this helps, please mark brainliest! :)
AB = 6 cm, AC = 12 cm
Calculate the length of CD.
Give your answer to 3 significant figures.
12 cm
55°
6 cm
Answer:
12.7 cm
Step-by-step explanation:
We can obtain CB using Pythagoras :
CB = √12² - 6²
CB = √108
CB = 10.39
Using CB,
We can apply trigonometry on triangle BCD to obtain the length of CD
Sin θ = opposite / hypotenus
Sin 55 = CB / CD
Sin 55 = 10.39 / CD
CD = 10.39 / sin 55
CD = 12.68
CD = 12.7 cm
QUESTION 14 · 1 POINT
Translate the English phrase into an algebraic expression: 6x less than 81xsquared
Answer:
Step-by-step explanation:
81x² - 6x
Answer:
81x² - 6x
Step-by-step explanation:
81x² - 6x