Step-by-step explanation:
the range is the biggest number subtracted by the smallest 23-(-11)= 34
Suppose 56% of recent college graduates plan on pursuing a graduate degree. Twelve recent college graduates are randomly selected.
a. What is the probability that no more than three of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.)
b. What is the probability that exactly eight of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.)
c. What is the probability that at least six but no more than ten of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.)
please help! (listing BRAINLIST and giving points) :D
Step-by-step explanation:
here,
p=5
h=8
b=?
we know that,
b²=h²-p²
= 8²-5²
=39
b=√39
now
cot=b/p
= √39/5
CSC=h/p
=8/5
sin=p/h
=5/8
Please helpppp me i
Answer:
y=-15/2 + 3x/4
Step-by-step explanation:
Only answer if you're very good at math.Please I keep on posting this but nobody is helping me.
What is the 4th term of the expansion of (1 - 2x)^n if the binomial coefficients are taken from the row of Pascal's triangle shown below?
1 6 15 20 15 6 1
A: 240x^4
B: 160x^3
C: -160x^3
D: -20x^3
The fourth term of the given expansion is [tex]-280x^{3}[/tex].
What is binomial expansion?
The binomial expansion is used to expand and write the terms which are equals to the natural number exponent of the sum or differences of two terms.
The general term of the binomial expansion is given by[tex]T_{r+1} =nC_{r} x^{n-r} y^{r}[/tex]
According to the given question
We have,
A binomial expression, [tex](1-2x)^{n}[/tex]
and, the binomial coefficients are taken from the row of Pascal's triangle 1 6 15 20 15 6 1
⇒ n = 7
Therefore,
The fourth term of the expansion of [tex](1-2x)^{n}[/tex] is given by
[tex]T_{3+1} = 7C_{3} 1^{7-3} (-2x)^{3}[/tex]
[tex]T_{4} =\frac{(7)(6)(5)(4)(3!)}{3!(4)(3)(2)} (1)(-2x)^{3}[/tex]
[tex]T{4} = -280x^{3}[/tex]
Hence, the fourth term of the given expansion [tex](1-2x)^{3}[/tex] is [tex]-280x^{3}[/tex].
Learn more about the binomial expansion here:
https://brainly.com/question/12249986
#SPJ2
Fifty percent of the customers who go to Sears Auto Center for tires buy four tires and 30% buy two tires. Moreover, 18% buy fewer than two tires, with 5% buying none.
a. What is the probability that a customer buys three tires?
b. Construct a cumulative probability distribution for the number of tires bought.
Answer:
A. Probability = 0.02
B. This is in a cumulative frequency table in the attachment I added
Step-by-step explanation:
A. We have these following probabilities
Prob(X=0) = 0.05
Prob(x= 2) = 0.30
Prob(X = 4) = 0.50
Prob(X < 2) = Prob(X=0) + prob(X=1)
0.18 = 0.05 + prob(X=1)
prob(X=1) = 0.13
A. Prob(x = 3)
= 1 - (0.05 + 0.13 + 0.30 + 0.50)
= 0.02
Probability of buying only 3 times = 2%
B. The cumulative frequency is in the attachment.
need help again thank you
<3
a.
Answer:
240 cm^3
b.
Answer:
208cm^2
the question is in the attachment. i know its not A because these angles are not opposite of each other.
Answer:
hi, it's b because a+b is 180°
Find the value of unknown figure plz tell i will mark as brainliest
Answer:
1. [tex]2^{3}[/tex] x [tex]3^{6}[/tex]
ii. 18
b. -12
2. nth = a + (n - 1)d
ii. k = 103
3. [tex]x^{o}[/tex] = [tex]27^{o}[/tex]
4. Volume = 25.025 [tex]m^{3}[/tex]
Step-by-step explanation:
1. Prime factors of 5832 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3
= [tex]2^{3}[/tex] x [tex]3^{6}[/tex]
ii. [tex]\sqrt[3]{5832}[/tex] = 18
b. 2[tex]a^{2}[/tex] - 3[tex]b^{2}[/tex] + 3abc
a = 3, b = 2, c = -1
Thus,
2[tex](3)^{2}[/tex] - 3[tex](2)^{2}[/tex] + 3(3 x 2 x -1)
= 18 - 12 - 18
= -12
2. The required formula is;
nth = a + (n - 1)d
where: a is the first term, n is the number of terms in the sequence and d is the common difference.
b. kth term = 304, then
304 = -2 + (k - 1) 3
= -2 + 3k -3
= 3k - 5
3k = 304 + 5
3k = 309
k = [tex]\frac{309}{3}[/tex]
= 103
k = 103
3. Comparing <DAB and < EBC;
<DAB ≅ <EBC = [tex]x^{o}[/tex]
<BEC = [tex]90^{o}[/tex] (right angle property)
<C = [tex]63^{o}[/tex]
Thus,
<B + <C + <E = [tex]180^{o}[/tex] (sum of angles in a triangle)
[tex]x^{o}[/tex] + [tex]63^{o}[/tex] + [tex]90^{o}[/tex] = [tex]180^{o}[/tex]
[tex]x^{o}[/tex] + 153 = [tex]180^{o}[/tex]
[tex]x^{o}[/tex] = 180 - 153
= 27
[tex]x^{o}[/tex] = [tex]27^{o}[/tex]
4. Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
where r is the radius and h is the height of the cylinder.
Diameter = 3.5 m, h = 2.6 m
r = [tex]\frac{3.5}{2}[/tex]
r = [tex]\frac{7}{4}[/tex] m
So that,
Volume = [tex]\frac{22}{7}[/tex] x [tex](\frac{7}{4}) ^{2}[/tex] x 2.6
= [tex]\frac{22}{7}[/tex] x [tex]\frac{49}{16}[/tex] x [tex]\frac{13}{5}[/tex]
= 25[tex]\frac{1}{40}[/tex]
Volume = 25.025 [tex]m^{3}[/tex]
x2 + y2 − 4x + 12y − 20 = 0
(x − 6)2 + (y − 4)2 = 56
x2 + y2 + 6x − 8y − 10 = 0
(x − 2)2 + (y + 6)2 = 60
3x2 + 3y2 + 12x + 18y − 15 = 0
(x + 2)2 + (y + 3)2 = 18
5x2 + 5y2 − 10x + 20y − 30 = 0
(x + 1)2 + (y − 6)2 = 46
2x2 + 2y2 − 24x − 16y − 8 = 0
x2 + y2 + 2x − 12y − 9 = 0
Answer:
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Step-by-step explanation:
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Jeff says the figure below is a rhombus. Is he correct? *
Answer:
yes it is
Step-by-step explanation:
it is quadrilateral
Answer:
yes
Step-by-step explanation:
just look up rhombus and then look at the pictures
10)
X + 80
700
B) 8
A) 5
C) -10
D) 7
I
Answer:
x+80=70°(exterior alternate angles)
x=70-80
x=-10
Suppose that a dart board is given by a circle of radius 1 in R², centered at (0,0). You throw a dart at the dart board, and the position that it lands is given by a pair of random variables, (X,Y).
a. Suppose that the probability of a "Bull's Eye" is zero; that is, P(X = 0, y = 0) = 0.
b. Prove that there must be some integer n > 0 such that P (√X^2 +Y^2 > 1/2) > 0.
Answer:
Answer B
Step-by-step explanation:
Select all the possible names for the following angle
Answer:
The answers are options d and e
Question 1 Multiple Choice Worth 5 points)
(03.08 LC)
What percentage of grocery store purchases are not planned purchases?
60%
20%
40%
10%
Answer:
60%
Step-by-step explanation:
is it FLVS right?
i hope this is right
enjoy
2. A set of data consists of the number of years that applicants for foreign service
jobs have studied German and the grades that they received on a proficiency test.
The following regression equation is obtained: = 31.6 + 10.9x, where x represents
the number of years of study and y represents the grade on the test.
a. Identify the predictor and response variables.
b. Interpret the regression equation by interpreting the y-intercept and slope.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the regression equation :
y = 31.6 + 10.9x
x = the number of years of study ;
y = the grade on the test.
The predicted is y which is also the same as the response variable, hence, the response variable is grade on the test
The predictor variable is x, which is the independent variable, which is the number of years of study.
From. The regression output given ;
The slope which is the Coefficient of the predictor variable is 10.9 which means that for every unit change in number of years of study, the grade on test increases by 10.9
The intercept which is the constant value, 31.6, means, the least a person can get in the get in grade is 31.6 (at x = 0)
Help I don’t know what I’m doing
Your slope is 6/4. I found this by locating two points where the line intercepts evenly at two points. One was on the y-axis(0,-3) and the other was at (5,3). I then calculated the slope- rise over run or y over x. Because this graphs in a straight line, it is a linear equation. Your equation formula is y = mx + b. M is your slope, and b is your y-intercept. y = 6/4x -3
Why are unit fractions important?
Answer:
Unit fractions play an important role in modular arithmetic, as they may be used to reduce modular division to the calculation of greatest common divisors. Specifically, suppose that we wish to perform divisions by a value x, modulo y. In order for division by x to be well defined modulo y, x and y must be relatively prime.
Step-by-step explanation:
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Answer:
B. 489.8 ft²
Step-by-step explanation:
Lateral surface of the cylinder = 2πrh
Where,
radius (r) = 6 ft
height (h) = 13 ft
Let π = 3.14
Plug in the values into the formula
Lateral surface of the cylinder = 2*3.14*6*13
Lateral surface of the cylinder = 489.8 ft²
Can you please answer these im really stuck!
Answer:
(My answers are not rounded!)
Problem A:
Area: 285 cm^2
Perimeter: 70 cm
Problem B:
Area: 30 m^2
Perimeter: 30 m
Problem C:
Area: 28 m^2
Perimeter: 24 m
Problem D:
Lateral Area: 150 in^2
2 (l + w) h
= 2 (11 + 4) 5
= 2(15)5
= 30(5)
= 150
Surface Area: 238 in^2
2 (lw + hl + hw)
2 (11 x 4 + 11 x 5 + 5 x 4)
= 2 ( 44 + 55 + 20)
= 2 (119)
= 238
Volume: 220 in^3
Length x width x height (rectangular prism)
use formula: 11 x 5 x 4 = 220
Problem E:
Area: 379.94 m^2
Formula: πr^2 (circle)
3.14(11^2)
= 3.14(121)
= 379.94
Circumference: 69.08 m
Formula: 2πr
= 2(3.14)11
= 6.28(11)
=69.08
Problem F:
Area: 49 m^2
length x width
7 x 7 = 49
Perimeter: 28 m
2 (l + w)
= 2 (7 + 7)
= 2(14)
= 28
Problem G:
Area: 1,056 cm^2
length x width
48 x 22 = 1,056
Perimeter: 140 cm
2 (l + w)
2 (48 + 22)
2(70)
=140
Problem H:
Lateral Area: 94.2 in^2
2πrh
= 2(3.14) x 1.5(10)
= 6.28 x 15
= 94.2
Surface Area: 108.33 in^2
2πrh+2πr2
=2(3.14) 1.5(10) + 2(3.14) 1.5^2
= 108.33
Volume: 70.65 in^3
πr2h
= 3.14(1.5^2) 10
= 3.14(2.25) 10
= (7.065) 10
= 70.65
Question 2 of 25
What do both of these functions have in common?
f(x) = |x-71-2
g(x) = 1.5 In (x - 2) +7
A. They have the same vertical shift
B. They have the same end behavior
C. They have the same vertical stretch
O D. They have the same horizontal translation
Answer:they have the same vertical stretch
Step-by-step explanation:
I’ll mark brainliest
Answer:
B
Step-by-step explanation:
they said 2 hours for each final
is equivalent to 16 Superscript three-fourths?
I can help you in the comments section. Can you rephrase this question?
Answer:B
Step-by-step explanation:
Which unit of measure would be appropriate for the area of a picture that is
20 centimeters tall and 15 centimeters wide?
A. Meters
B. Cubic centimeters
C. Square centimeters
D. Centimeters
Answer:
C: Square centimeters
Step-by-step explanation:
We are measuring length here, not volume, so recognize that this fact eliminates Answer B. The area of a rectangle, such as this picture is, is A = Length * Width, measured in (cm)(cm), or C: Square centimeters.
Mia cut a piece of felt into 3 equal
sections. She used 1 section for an art project. What fraction of the felt did Mia use for the art
project?
(1 Point)
Answer:
[tex] \frac{1}{3} [/tex]
Step-by-step explanation:
Mia used One Third of the felt for her art project. 3/3 would be the whole felt together. Since one part of three sections was used up then this means that 1/3 was used.
(7x-2)-(x-9) {Pls Simplify this}
Answer:
6x + 7
Step-by-step explanation:
(7x - 2) - (x - 9)
7x - 2 - x + 9
6x + 7
15
Select the correct answer.
If A and B are dependent events, which of these conditions must be true?
O A.
P(A and B) = P(A) + P(B)
OB.
P(A and B)
P(A)
P(B)
Oc.
P(B|A) = P(B)
D.
P(AB) = P(A)
O E
P(BA) + P(B)
Reset
Next
Answer:
P(B|A) = P(B)
Step-by-step explanation:
For dependent events the outcome of first event affects the outcome of the second event.
If B is a dependent event on A, then the conditional probability of B is given by P(B|A).
P(B|A) = P(B)
Hence, the correct option is (c).
A new car's original price is $13,999. If it's on sale
for 10% off, what's the new price?
For brainlest pls ……..
Answer:
4.5 cm²
Step-by-step explanation:
The given shape is a parallelogram , and the area of a parallelogram is ,
Area :-
1/2 * b * hSo , that,
=> A = 1/2 * 2.5 * 1.8
=> A = 4.5 cm²
Answer:
A = 4.5 m²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 2.5 and h = 1.8 , then
A = 2.5 × 1.8 = 4.5 m²
help me please with these questions
Answer:
17) option b
18) option b
19) option d
Step-by-step explanation:
17)
Cost of 25 burgers = $75
Therefore , cost of 1 burger:
[tex]\frac{75}{25} = 3[/tex]
18)
Area of rectangle = length x breadth
[tex]\frac{7}{6} = length \times \frac{5}{6}\\\\\frac{7}{6} \times \frac{6}{5} = length \\\\\frac{7}{5} = length \\\\Length = \frac{7}{5} \ km[/tex]
19)
14.25
x 6.3
_________
4275
+ 8550
__________
89.775
___________
The sales tax on a sofa that cost 575$ was 43.13 What was the percent sales tax? PLS HELP ASAP NEED TO SHOW WORK!! AND STEP BY STEP
Answer:
07.50086956521739% (round it)
Step-by-step explanation:
Find what percent 43.13 (Number A) is of 575 (Number B). To do this you divide Number A by Number B.
43.13 / 575 = 0.0750086956521739
Move the decimal point two places to the right.
007.50086956521739
Get rid of the zeros.
7.50086956521739
Answer:
07.5%
Step-by-step explanation:
