Answer:
68.3 inches
Step-by-step explanation:
Let the sum of the original 13 students heights be S, so the average of their heights are S/13.
We are given that average height of the original 13 students heights is 68 inches, so S/13 = 68 -> S = 68*13 = 884 inches.
The average of the heights of all 14 students is the sum of all 14 students (S + Danielle’s height) divided by 14. We are given that Danielle’s height is 72.2 inches, so the mean height of all 14 students is:
(S+72.2)/14 = (884+72.2)/14 = 68.3 inches
I hope this helps! :)
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
100, 20, 4, ...
Answer:
its a geometric progression. r=1/5 or 0.2
50 POINTS! SHOW WORK OR ILL REPORT! Multiplying mixed numbers
Answer:
15/2 = 7 1/2
Step-by-step explanation:
3 1/3 * 2 1/4 =
= (3 * 3 + 1)/3 * (2 * 4 + 1)/4
= 10/3 * 9/4
= 90/12
= 45/6
= 15/2
= 7 1/2
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
See this attachment
on an eight-question true-false quiz, a student guesses each answer. What is the proability that the student gets at least one of the answers correct
Answer:
0.9961
Step-by-step explanation:
Number of options per question = 2
P(success), p = 0.5
q = 1 - p = 0.5
Number of trials, n = 8
P(x ≥ 1) = p(x= 1) + p(x=2) +... + p(x = 8)
P(x = x) = nCx * p^x * q^(n-x)
Using a calculator to save computation time :
p(x ≥ 8) = 0.9961
The length of a rectangle is 4 meters more than the width of the rectangle. The perimeter of the rectangle is 40 meters. What are the length and the width of the rectangle? *
Answer:
Length = 12 m, Width = 8 m
Step-by-step explanation:
Let the width of the rectangle is b.
Length, l = 4+b
The perimeter of the rectangle = 40 m
We know that,
Perimeter of rectangle = 2(l+b)
2(4+b+b) = 40
4+2b = 20
Subtract 2 from boths sides,
2b = 16
b = 8
Width = 8 m
Length = 4+8 = 12 m
Hence, the length and the width of the rectangle is 12 m and 8 m respectively.
Evaluate the expression when m=9 and n=4.
6m-n
X
?
6m -4
Answer:
50
Step-by-step explanation:
6m-n
Let m = 9 and n = 4
6*9-4
Multiply first
54-4
Then subtract
50
Question 6,7 I needed the answer
Answer:
6.n/4
7.3/4time G or 0.75G
Step-by-step explanation:
6.3m+n/12-m-n/4=3m-3m+n+3n=4n/12=n/4
7.G=0.9a/1.2b G=3/4*a/b
What index of y make value 1/y^2
Answer:
(-2) is the index of y make value 1/y².
Step-by-step explanation:
We need to find what index of y makes value 1/y².
Here, the numerator is 1 and the denominator is y².
We know that,
[tex]\dfrac{1}{a^x}=a^{-x}[/tex]
So, the given expression is :
[tex]\dfrac{1}{y^2}=y^{-2}[/tex]
Hence, (-2) is the index of y make value 1/y².
What is the probability that out of 125 babies born, at least 70 will be girls?
Assume that boys and girls are equally probable, and round your answer to
the nearest tenth of a percent.
O A. 70.4%
B. 10.5%
C. 51.2%
D. 99.0%
Answer:
Well just looking at the choices can lead you to the answer right away.
Well since the probability of boys and girls are equal, its 50/50. And since 125 in half well about is about 60-62 and the minimum amount of girls has to be 70. It can’t be higher then half and the choices remain to less then half not including 50%. So that eliminates all 3 choices except B.
The probability that out of 125 babies born, at least 70 will be girls is 10.5%. So, option B is correct.
What is meant by probability ?Probability is defined as the chance for an event to occur. The value of probability is expressed from zero to one.
Here,
Let X be the number of girls born among the babies.
Let the number of babies born be n = 125
Let the probability of girls being born be P
Since, boys and girls are equally probable, P = 1/2 = 0.5
The probability that at least 70 girls will be born is P(X ≤ 70)
P(X ≤ 70) = P(70) + P(71) + P(72) + P(73) + P(74) +....P(125)
Applying the binomial probability equation,
P(X) = {n!/[X!(n - X)!} Pˣ (1 -P)ⁿ⁻ˣ
So,
P(70) = {125!/[70!(125-70)!]}x 0.5⁷x (1 - 0.5)⁵⁵
We get P(70) = 0.02913
Using cumulative probability function, we get the probability upto X=125.
By adding all the values, we get,
P(70) = 0.1051
Therefore probability that at least 70 girls are born = 0.1051 x 100 = 10.5%
Hence,
The probability that out of 125 babies born, at least 70 will be girls is 10.5%.
To learn more about probability, click:
https://brainly.com/question/14210034
#SPJ7
A cafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg rolls, or French fries. He uses a computer program to randomly select three dishes for Monday’s lunch.
Answer:
20%
Step-by-step explanation:
vrrggrgrhreah
Please answer and explain.
Answer:
x = 13
Step-by-step explanation:
The sum of the exterior angles of a 4 sided polygon is 360
139+ 6x+9x+2x = 360
Combine like terms
139+17x=360
Subtract 139 from each side
17x = 360-139
17x = 221
Divide each side by 17
17x/17 = 221/17
x = 13
Two angles are complementary ( the sum of the two angles is 90°). The sum of the first angle plus twice the second angle is 150°. Find the measures of the angles.
Answer:
30 and 60
Step-by-step explanation:
Let x represent the first angle
(x) the sum of the first angle plus twice of the second angle 2(90 - x)
x + 180 - 2x = 150
180 - 150 = 2x - x (we export like terms to the same side of the equation)
30 = x is the measure of the first angle and since the second angle is complementary to this the measure of the second angle is 90 - 30 = 60
ou want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 99% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required
Answer: the required sample size =1658944
Step-by-step explanation:
When the prior population proportion for the study is unknown , then the formula for sample size is [tex]Sample \ size = 0.25(\dfrac{z^*}{Margin\ of \ error})^2[/tex]
z-value for 99% confidence = 2.576
[tex]Sample \ size = 0.25(\dfrac{2.576}{0.001})^2\\\\=0.25(2576)^2\\\\=1658944[/tex]
Hence, the required sample size =1658944
What is the y-intercept of the graph of the line whose equation is y = -2/5x + 4?
1) - 5/2
2) - 2/5
3) 0
4) 4
I’ve been stuck on this question for so long I need help with it.
Answer:
4
Step-by-step explanation:
in y=mx+b, the "b" is the y-intercept
Answer:
4
it's in y = mx + b form, where b is the y-intercept
answer 1 or answer 2?
Answer:
2 Function B
Step-by-step explanation:
Answer:
Function B is greater
Step-by-step explanation:
The gradient of Function B is of 3 = m
Though the gradient of Function A is of 1 = m, obviously being of the smaller size
If you didn't know, gradient is the same as the slope
Hope this helps
What is the slope of the line described by the equation below?
y-5=-3(x - 17)
O A. -3
O B. 3
O c. 5
O D. -5
PLEASE HELP ME
Answer:
A
Step-by-step explanation:
Hi there!
The given equation of the line is in slope-point form, which is y-y1=m(x-x1), where (x1,y1) is a point and m is the slope
the given equation is y-5=-3(x - 17)
-3 is in the place of where m is, so -3 is the slope. Remember that the sign is part of the slope, so it can't be B (3). Therefore, the answer is A
Hope this helps!
Helpppp please
I’m being timeeeeedddd
Answer:
x = -9
Step-by-step explanation:
ANGLES IN A TRIANGLE ADD UP TO 180°
50° + 80° = 130°
180° - 130° = 50
x+59 = 50
x = -9
Sue wants 1 / 3 of a rectangular pan of cornbread. Dena wants 1 / 2 of the same pan of cornbread. How should you cut the cornbread so that each of the girls gets the size portion she wants?
Answer:
Step-by-step explanation:
14. Anna, Bella, Claire, Dora and Erika meet at a party. Each pair who know each other shake hands exactly once.
Anna shakes hands only once, Bella twice, Claire three times and Dora four times. How many people does Erika
shake hands with?
(A) 1
(B)2
(C) 3
(D) 4
(E) 5
Answer:
(B) part is the answer which means he shook hands with 2.
Step-by-step explanation:
Since Dora shook hands four time with: Alan, Bella, Claire, Erik. Then Erik shook hands only with Dora. Claire shook hands three times with Bella, Claire and Dora. Then Bella shook hands with two people Claire and Dora. Now Erik would shook hands only with those who shook hands with him. 2 people Claire and Dora
The required handshake Erika had is given as 2. Option B is correct.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Here,
According to the question,
Dora shake hands 4 times,
So Dora shakes hands with Anna, Bella, Claire, and Erika.
Anna shake hands 1 time,
From the above combination.
Dora shakes hands with Anna,
Implies Anna does not shake hands with Erika,
Clair shakes hands 3 times,
So Clair shakes hands with Bella, Claire, and Erika.
Bella shake hands 2 times,
So Bella shakes hands with Bella and Claire.
From the above reasoning, Erika shakes hands with Dora and Clair.
Learn more about permutations and combinations here: https://brainly.com/question/2295036
#SPJ2
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/10 for blue, 1/20 for black, 1/15 for pink, and 1/5 for yellow. What is the probability of pulling a blue or yellow card, written as a reduced fraction?
Answer:
3/10
Step-by-step explanation:
1/10 + 1/5 = need to get common denominators to add.
1/10 + 2/10 = 3/10
Can y’all help me on question 1?! Have a good day everyone!
Answer:
54 square inches
Step-by-step explanation:
9 times 12 is 108. That is the area of a rectangle with the same length and width/height. A right triangle is half of that. So 108/2=54
Hi there!
»»————- ★ ————-««
I believe your answer is:
Option B
»»————- ★ ————-««
Here’s why:
An area of a triangle is half the value of the product of the triangle's base and height.⸻⸻⸻⸻
[tex]\boxed{\text{Area of A Triangle:}}\\\\---------\\\frac{b*h}{2}\\\\\boxed{\text{Key:}}\\\\\text{b - base}\\\text{h - height}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Finding the area of the Triangle:}}\\\\-------------\\\ \frac{9*12}{2}\\\\\rightarrow\frac{108}{2}\\\\\rightarrow \boxed{54}\\\\\text{The area should be 54 square inches.}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
If 50% of the students in your class are men and 20% of the men have blond hair, which of the following describes the percentage of students in your class who are men with blond hair?
Answer:
10%
Step-by-step explanation:
10% of the Male students have blonde hair
10) -2(n - 6) = 20
please help!
Answer:
n = 1
Step-by-step explanation:
Answer:
n = -4
Step-by-step explanation:
Let's solve your equation step-by-step.
−2(n − 6) = 20
Step 1: Simplify both sides of the equation.
−2(n − 6) = 20
(−2)(n) + (−2)(−6) = 20(Distribute)
−2n + 12 = 20
Step 2: Subtract 12 from both sides.
−2n + 12 − 12 = 20 − 12
−2n = 8
Step 3: Divide both sides by -2.
[tex]\frac{-2n}{-2} = \frac{8}{-2}[/tex]
n = -4
Hope this helps, please mark brainliest if possible. Have a great day.
Select the points that are solutions to the system of inequalities. Select all that apply A. (-12, 0) B. (1, 2) C. (0, 0) D. (-10, 1)
Answer:
B. (1, 2)
D. (-10, 1)
Step-by-step explanation:
Both points land in the highlighted area.
Hope this helps! :)
Answer:
The correct answer would be
A. (–12, 0) & D. (–10, 1)
Trig how do you do I do not know
9514 1404 393
Answer:
a) 2π radians
b) 10π inches
c) 5/4π inches per minute
Step-by-step explanation:
The formulas are fairly straightforward. Use the given values in each.
a) θ = ωt
θ = (π/4 radians/min)(8 min) = 2π radians
__
b) s = rθ
s = (5 in)(2π radians) = 10π in
__
c) v = s/t
v = (10π in)/(8 min) = 5/4π in/min
determine the value of a in the figure shown
Answer:
d
Step-by-step explanation:
180-149= 31.
31+ 122= 153
180-153= 27
a= 27
h is f × 2 r
pla help
Answer:
step one 1 ×3 = 4
Step-by-step explanation:
how first fo ther
What is the scale factor in the dilation? A.2/5
B.1/2 C.2 D.2 1/2
Answer:
d
Step-by-step explanation:
it is
HELP PLEASE giving out brainilest
9514 1404 393
Answer:
160 cm³
Step-by-step explanation:
The ratio of the linear dimensions is the square root of the ratio of areas:
scale factor B/A= √(64/144) = 8/12 = 2/3
The ratio of volumes is the cube of the scale factor:
(volume B)/(volume A) = (2/3)³ = 8/27
Then the volume of pyramid B is ...
volume B = (volume A) × (volume B)/(volume A)
= (540 cm³) × (8/27) = 160 cm³ . . . . volume of pyramid B
_____
Equivalently, the ratio of volumes is the 3/2 power of the ratio of areas.
Vb = Va(64/144)^(3/2) = (540 cm³)(4/9)^(3/2) = (540)(8/27) cm³ = 160 cm³
Triangle ABC has coordinates A(0, 1), B(0, 2), and C(3, 2). If ΔABC ≅ ΔEDF, what is the measure of DF?
pls help me
Answer:
The answer is option 1: 3
Step-by-step explanation:
Just took the test :)
In angle ABC, AB = 2.5 m, BC = 3.2 m and AC = 2.9 m. Use the Cosine Law to find
, to the nearest degree.
9514 1404 393
Answer:
∠A ≈ 72°
Step-by-step explanation:
Fill in the given numbers and do the arithmetic.
cos A = (2.9² +2.5² -3.2²)/(2(2.9)(2.5)) = 4.42/14.5
The inverse cosine function is used to find the angle, given its cosine.
A = arccos(4.42/14.5)
∠A ≈ 72°