Answer:
Step-by-step explanation:
A. The data set has an average of 100. There's nothing to indicate this. F
**B. Half the data values are greater than 100. T: Definition
C. The minimum value is 80 and the maximum value is 120. There's nothing to indicate that this is true. F
D. Only one of the data points in the data set has a value of 100. There's nothing to indicate this. F
(answer quickly please)
Last year, Charmaine opened an investment account with $6200. At the end of the year, the amount in the account had decreased by 6.5%. How much is this
decrease in dollars? How much money was in her account at the end of last year?
Answer:
Decreased value- 2,170
Absolute difference- 4,030
Step-by-step explanation:
Given that A = (9,9,2), B = (1,3,5) and C = (5,6,4), find the vector equation of the line through A and B
Answer:
Equation = 9i + 9j + 2k - λ ( 8i + 6j - 3k)
Step-by-step explanation:
Vector equation of a line passing through two points A & B is : r = a + λ(b - a)
Given A = (9,9,2) ; B = (1,3,5)
Equation of line : r = 9i + 9j + 2k + λ [ (1-9) i + (3-9) j + (5-2) k ]
= 9i + 9j + 2k + λ ( -8i + -6j + 3k)
= 9i + 9j + 2k - λ ( 8i + 6j - 3k)
This pattern repeats every 4 terms. The pattern is square, hexagon, pentagon, triangle. What is the shape in the 13th term of this pattern? sorry if it looks weird i dont know why it does
Answer:
the answer is square
Find the Arc Length of AB (picture provided) and show work.
Circumference of a circle is pi x diameter
Circumference = 3.14 x 8 = 25.12 feet.
Arc AB is 45 degrees.
Arc length = circumference x angle/360
Arc length = 25.12 x 45/360 = 3.14 feet
Answer: 3.14 feet
Find the distance between the two points.
(4,3)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
Answer: 89 will go in the box
This means the exact distance between the two given points is [tex]\sqrt{89}[/tex] which approximates to roughly 9.4339811
===========================================================
Explanation:
To get that answer, we can apply the distance formula
(x1,y1) = (-1,-5) is the first point
(x2,y2) = (4,3) is the second point
Plug the coordinates into the distance formula
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-4)^2 + (-5-3)^2}\\\\d = \sqrt{(-5)^2 + (-8)^2}\\\\d = \sqrt{25 + 64}\\\\d = \sqrt{89}\\\\d \approx 9.4339811\\\\[/tex]
--------------------------
Alternative Method:
You could also form a right triangle by adding the point (4, -5). The horizontal leg goes from (-1,-5) to (4,-5) which is a span of 5 units. The vertical leg goes from (4,-5) to (4,3) which is a span of 8 units. The hypotenuse is from (-1,-5) to (4,3) which is the distance we want to find.
After forming the triangle and determining the leg lengths, use the pythagorean theorem and you should get [tex]\sqrt{89}[/tex] as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.
how do i find the missing length of a rectangel
Tiara, a quality assurance inspector at a chocolate factory, checks for product quality using a random sample of 18 pieces of chocolate from a batch of 60, wity 17 white chocolate and 43 dark chocolates. Let p be the proportion of white chocolates in the sample. Part A: Is the 10% condition met in thjs case? Justify your answer. Part B: Is the Normal condition met in this case? Justify your answer.
Answer:
Part A
The 10% rule is not met
Part B
The normal condition is not met
Step-by-step explanation:
The given data of the pieces of chocolate are;
The number of chocolates in the sample, n = 18
The number of white chocolate in the batch = 17
The number of dark chocolates in the batch = 43
Given that [tex]\hat p[/tex] is the proportion of white chocolates in the sample, we have;
The proportion of white chocolates in the batch, p = 17/60 = 0.28[tex]\overline 3[/tex]
Part A
The 10% condition states that the size of the sample should be less than or equal to 10% of the population because taking samples without replacing them does not result in independent Bernoulli trials
The given sample size, n = 18, which is 18/60×100 = 30% > 10% of the batch, therefore, the 10% rule is not met in the present situation
Part B
The normal approximation can be assumed when we have;
n·p > 10 and n·p·(1 - p) > 10
By plugging in the values for 'n' and 'p', we have;
p = 0.28[tex]\overline 3[/tex] = 17/60
n·p = 18 × 17/60 = 5.1 < 10
n·p·(1 - p) = 18 × 17/60 × (1 - 17/60) = 3.655 < 10
Therefore the normal condition is not met.
1. Is x + 8 a factor of b(x) = x3 + 18x2 + 80x? Determine using synthetic
division. Explain how you know it is or isn't.
Answer:
If x+8 is a factor, divide by -8.
-8 1 18 80
-8 -80
_______________
1 10 0
It is a factor because there is no remainder.
Step-by-step explanation:
Which expression is equivalent to 9s + 3 x 5 -2s?
A. 7s + 15
B. 2s + 22
C. 22s
D. 15s
16,4,1,...
Find the 6th term.
Answer:
1/64
Step-by-step explanation:
You divide by 4 each time.
It goes 16,4,1,1/4,1/16, 1/64 and so on
Simplify: 6 x (-5)+(-18)
Answer:
-138
Step-by-step explanation:
Answer:
6(-5)+(-18)
= -30+ (-18)
= -30-18
= -48
Step-by-step explanation:
i hope this helps :)
Find the Surface Area of the figure below with the following values
Answer: Area = 189
Step-by-step explanation:
How i got the answer was i just simply multiplied the numbers that they had provided for you up on the top. So you would do (21 x 9 = 189). Then you would be left off with your answer 189, which is your surface area for the figure stated in the photo.
~Have a gr8 day/night my friend!~
What is the length of leg s of the triangle below?
Answer:
E. 8
Step-by-step explanation:
It's a special right angle triangle. Hypotenuse is
[tex] \sqrt{2} x[/tex]
where x is the length of other legs. Also other two sides of triangle are always equal.
So to find the other leg divide by .
[tex] \sqrt{2} [/tex]
The length will be 8.
Match the following items. In the figure below, several reflections are illustrated. Note one line if symmetry is m and one is l . Pay close attention to the line of reflection being indicated by R l and R m.
1.T
2.X
3.Q
4.E
5.Y
6.A
R l : C
R m : X
R l : Y
R m : Z
R l : A
R m : T
Answer:
Answer below
Step-by-step explanation:
1. R m : T T
2. R m : X Q
3. R l : C X
4. R l : Y Y
5. R l : A E
6. R m : Z A
credit: kevinmwc1
Answer:
1. R m : T T
2. R m : X Q
3. R l : C X
4. R l : Y Y
5. R l : A E
6. R m : Z A
Step-by-step explanation:
Gisella has 4 pints of chicken broth. She uses 5 cups of the broth to make soup.
How much chicken broth is left?
Answer:
3 cups would be left or 1.5 pints.
Step-by-step explanation:
1 pint is equal to 2 cups.
Circle has equation x^2+y^2=36
Radius=6
Centre=(0,0)
The distinct point A(a,root11) and B (b,root11) lie on the circumference of the circle. Work out the length AB
Which side lengths form a right triangle?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
\sqrt2, \sqrt3, \sqrt4
2
,
3
,
4
square root of, 2, end square root, comma, square root of, 3, end square root, comma, square root of, 4, end square root
(Choice B)
B
\sqrt8, 3, \sqrt{17}
8
,3,
17
square root of, 8, end square root, comma, 3, comma, square root of, 17, end square root
(Choice C)
C
5, 6, 85,6,85, comma, 6, comma, 8
Answer:
this is kinda confusing..So ill just answer the first question.
Explanation: The Pythagorean Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides.hope it helps.
in quadrilateral ABCD shown the two diagonals AC and BD intersect at point E
Which of the following statements, along with the given information, is both necessary and sufficient to prove that ABCD is a parallelogram?
A) AC 1 BD
B) AB CE and BE DE
C) AB CD and BS CE
D)m ABC + m/BAD - 180
Answer:
your answer is B AB CE and BE DE
So mark me as brainliest
The statements that are necessary and sufficient to prove that ABCD is a parallelogram are, (B), (C) and (D).
What is a parallelogram?A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
The area of a parallelogram is base multiples by height as two triangles form a parallelogram.
From the properties of parallelograms the statements that are necessary and sufficient to prove that ABCD is a parallelogram are,
[tex]\overline{AE}[/tex] ≅ [tex]\overline{CE}[/tex] and [tex]\overline{BE}[/tex] ≅ [tex]\overline{DE}[/tex] as diagonal of a parallelogram bisect each other.
[tex]\overline{AB}[/tex] ≅ [tex]\overline{CD}[/tex] and [tex]\overline{BE}[/tex] ≅ [tex]\overline{CE}[/tex] opposite sides of a parallelogram are equal.
m∠ABC + m∠BAD is 180° as the sum of the adjacent sides in a parallelogram are supplementary.
learn more about parallelograms here :
https://brainly.com/question/29717080
#SPJ2
HELP ME ASAP I NEED HELP NOW
Zeros:
x = -2
x = 6
Smaller zero: -2
Miss David's birthday is in April, and she is going to have a party. She is looking to buy a bag of decorations. Each bag has two different types of decorations: balloons and streamers. The first bag has 11 balloons and 6 streamers. The second bag has 15 balloons and 4 streamers. The last bag has 6 balloons and 12 streamers. Bag 1 costs $91, bag 2 costs $99, and bag 3 costs $102. How much does each type of decoration cost?
Answer:
b = $5
s = $6
Step-by-step explanation:
this can be solved using simultaneous equation
s = streamers
b = balloons
either of the 3 equations can be used to determine the price of the items
11b + 6s = 91 equation 1
15b + 4s = 99 equation 2
multiply equation 1 by 4 and equation 2 by 6
44b + 24s = 364 eqn 3
90b + 24s = 594 eqn 4
subtract equation 3 from 4
230 = 46b
b = 5
substitute for b in eqn 1
55 + 6s = 91
s = 6
hey i’ll give brainliest please help
PLEASE HELP ASAP WILL MARK BRAINLIEST
Answer:
a
Step-by-step explanation:
plsssss help im literally failing
Answer: 1206.4un^3
Step-by-step explanation:
πr2h
= π×82×6
= 384π
= 1206.3715789785 un^3
Please HELP if you can!
A sample of automobile dealerships found that 19% of automobiles sold are silver. If two cars are randomly selected, what is the probability that the color of the first car is silver and the color of the second car is also siver?
A. 0.361
B. 0.0361
C. 0.380
D. 0.190
Answer:
C 0.0361
Step-by-step explanation:
The probability that the color of the first car is silver and the color of the second car is also siver is 0.0361.
Given that,
A sample of automobile dealerships found that 19% of automobiles sold are silver.The color of the first car is silver and the color of the second car is also siver.
Based on the above information, the calculation is as follows:
[tex]= 0.19\times 0.19[/tex]
= 0.0361
Learn more: brainly.com/question/17429689
Write two numbers that multiply to -14 and add to 13
Answer:
13, -1
Step-by-step explanation:
Answer:
14 minus negative 1 that would be 14 and -1
Step-by-step explanation:
Janet uses 4 feet of ribbon to decorate each pillow. The ribbon comes in 225-foot rolls. How many
pillows will she be able to decorate with one roll of ribbon? Will there be any ribbon left over?
Answer:
56 and there will be 1 foot of ribbon left over
Step-by-step explanation:
225/4=56.25
The following frequency table shows the observed high temperatures in Buffalo, New York, in May 2007.
Which interval contains the median temperature?
A.)50 - 59
B.)60 - 69
C.)70 - 79
D.)80 - 89
B)60-69
I guess option B is correct as it's frequency is higher
Answer:
answer is B. 60-69
Step-by-step explanation:
because I said so?
Jerome, kevin and seth shared a submarine sandwhich. Jerome ate 1/2 of the sandwich , kevin ate 1/3 of the sandwich, and seth ate the rest. What is the ratio of jerome's share to kevin's share to kevin's share to seth's share?
Given:
Jerome ate 1/2 of the sandwich , Kevin ate 1/3 of the sandwich, and Seth ate the rest.
To find:
The ratio of jerome's share to kevin's share to seth's share.
Solution:
Jerome ate 1/2 of the sandwich. So,
Jerome's share = [tex]\dfrac{1}{2}[/tex]
Kevin ate 1/3 of the sandwich. So,
Kevin's share = [tex]\dfrac{1}{3}[/tex]
Seth ate the rest. So,
Seth's share = [tex]1-\dfrac{1}{2}-\dfrac{1}{3}[/tex]
= [tex]\dfrac{6-3-2}{6}[/tex]
= [tex]\dfrac{1}{6}[/tex]
The ratio of jerome's share to kevin's share to seth's share is:
[tex]\dfrac{1}{2}:\dfrac{1}{3}:\dfrac{1}{6}[/tex]
To simplify the ratio multiply the ratio by 6.
[tex]\dfrac{1}{2}\times 6:\dfrac{1}{3}\times 6:\dfrac{1}{6}\times 6[/tex]
[tex]3:2:1[/tex]
Therefore, the ratio of jerome's share to kevin's share to seth's share is 3:2:1.
Since the area of the circle is I the area of the square, the
volume of the cone equals
o
I the volume of the pyramid or
(ench
or
srh.
o
the volume of the pyramid or (2n
o
the volume of the pyramid or
(2nm or s?h.
o
the volume of the pyramid or : ( 20%(h) or şir?h.
Answer:
(b)
[tex]V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}][/tex] or [tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
Step-by-step explanation:
Given
[tex]Ratio = \frac{\pi}{4}[/tex]
See attachment for complete question
Required
Determine the volume of the cone
The volume of a square pyramid is:
[tex]V = \frac{a^2h}{3}[/tex]
Where
a = base dimension
From the attachment, the base dimension of the square pyramid is 2r.
So:
[tex]a = 2r[/tex]
The volume becomes;
[tex]V = \frac{(2r)^2h}{3}[/tex]
To calculate the volume of the cone, we simply multiply the given ratio and the volume of the prism.
So, we have:
[tex]V_2 = Ratio * V[/tex]
[tex]V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}][/tex]
[tex]V_2 = \frac{\pi}{4} * \frac{(2r)^2h}{3}[/tex]
Open bracket;
[tex]V_2 = \frac{\pi}{4} * \frac{4r^2h}{3}[/tex]
Cancel out 4
[tex]V_2 = \pi * \frac{r^2h}{3}[/tex]
The above can be written as:
[tex]V_2 = \frac{1}{3} * \pi r^2h[/tex]
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
So, we have:
[tex]V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}][/tex]
or
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
Volume of a rectangular prism with a length of 6 inches, width of 2 inches, and height of 4 inches,
Answer:
[tex]V=48 inch^3[/tex]
Step-by-step explanation:
From the question we are told that:
Length of prism l=6 inches
Width of prism w=2 inches
Height of prism h=4 inches
Generally the equation for Volume of rectangular prism is mathematically given by
[tex]V=l*w*h[/tex]
[tex]V=6*2*4[/tex]
[tex]V=48 inch^3[/tex]
Therefore of Volume of rectangular prism is
[tex]V=48 inch^3[/tex]