Answer:
x+49+90=180sum of interior angle of triangle
x=180-139=41 is your answer
35% of students take spainsh or engineering. 30% of students take Spanish. 25% of students take engineering. What is the probability that a student takes Spanish and engineering?
Answer:
0.2 = 20% probability that a student takes Spanish and engineering
Step-by-step explanation:
We solve this question treating the probabilities as Venn sets.
I am going to say that:
Event A: Student takes Spanish
Event B: Student takes Engineering.
35% of students take spainsh or engineering.
This means that [tex]P(A \cup B) = 0.35[/tex]
30% of students take Spanish.
This means that [tex]P(A) = 0.3[/tex]
25% of students take engineering.
This means that [tex]P(B) = 0.25[/tex]
What is the probability that a student takes Spanish and engineering?
This is [tex]P(A \cap B)[/tex].
These probabilities are related by the following formula:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
Replacing the values
[tex]P(A \cap B) = 0.3 + 0.25 - 0.35 = 0.2[/tex]
0.2 = 20% probability that a student takes Spanish and engineering
Help and the question changes when its wrong
At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 21 fencers at The Fencing Center. We are interested in the numbers that do not use the foil as their main weapon.
Part (a) In words, define the Random Variable X.
the number of fencers that do not use the foil as their main weaponthe different types of weapons the number of fencers at The Fencing Centerthe number of fencers that do use the foil as their main weapon
Part (b) List the values that X may take on.
X = 0, 1, 2, . . ., 60X = 1, 2, 3, . . ., 21 X = 0, 1, 2, . . ., 21X = 1, 2, 3, . . ., 60
Part (c) Give the distribution of X.
X ~
,
Part (d) How many fencers are expected to not use the foil as their main weapon? (Round your answer to the nearest whole number.)
fencers
Part (e) Find the probability that eleven do not use the foil as their main weapon. (Round your answer to four decimal places.)
Part (f) Based on numerical values, would you be surprised if all 21 did not use foil as their main weapon?
Yes. The probability of all 21 fencers not using the foil as their main weapon is small (less than 1%).No. The probability of all 21 fencers not using the foil as their main weapon is large (more than 10%).
Answer:
A.) the number of fencers that do not use the foil as their main weapon
B.) X : 0, 1, 2, 3,..., 21
C.) X ~ p(X) ; 21 ~ 0.4
D.) 21 ~ 0.4
E.) 0.0895
F.) Yes. The probability of all 21 fencers not using the foil as their main weapon is small (less than 1%)
Step-by-step explanation:
A.) since it is reported that 60% of fencers use the foil as their main weapon ;
The random variable (x) : number of fencers that do not use foil as their main weapon ;
( 100% - 60%) = (1 - 0.6) = 0.4
B.) values that X may take on :
Sample size = 21 ;
X : 0, 1, 2,..., 21
The distribution of X
X ~ B ; X ~ p(X) ; 21 ~ 0.4
Part (d) How many fencers are expected to not use the foil as their main weapon?
X * p(x)
21 * 0.4
= 8.4
= 8 (nearest whole number)
Part (e) Find the probability that eleven do not use the foil as their main weapon.
P(x = 11)
Using the binomial probability relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
P(x = 11) = 21C11 * 0.4^11 * 0.6^10
P(x = 11) = 0.0895
Part (f) Based on numerical values, would you be surprised if all 21 did not use foil as their main weapon?
P(x = 21) = 21C21 * 0.4^21 * 0.6^0
P(x = 21) = < 0.00001 ( approximately 0)
Hence, based on this very low value which is almost equal to 0 ; it will be surprising if all 21 do not use foil as their main weapon
what's 24 -3 (7-5) to the power of two over (+8) (-6) ÷ (+12)?
Answer:
45%
Step-by-step explanation:
45%
what is the lcm for 3/4and 1/2
Answer:
1 1/2
Hope that helps!
Step-by-step explanation:
Please help me if u don’t I will get a bad grade‼️
Given:
The equation is
[tex]\dfrac{1}{3}x=\dfrac{1}{5}[/tex]
To find:
The coefficient and reciprocal.
Solution:
We have,
[tex]\dfrac{1}{3}x=\dfrac{1}{5}[/tex]
Here, [tex]\dfrac{1}{3}[/tex] is multiplied with x.
So, the coefficient of x is [tex]\dfrac{1}{3}[/tex].
To find the reciprocal, we need to interchange numerator and denominator of a fraction.
So, the reciprocal of [tex]\dfrac{1}{3}[/tex] is [tex]\dfrac{3}{1}=3[/tex]
Therefore, the reciprocal is 3.
Nine bands are to perform at a weekend festival. Suppose you want to determine how many different ways there are to schedule their appearances. Would you use a combination or a permutation?
Answer:
permutation
Step-by-step explanation:
Analyzing the information in the question above, it is correct to say that it is necessary to use permutation, since the ORDER matters, since there is a need to program the band's appearances.
Permutation can be understood as an arrangement in which n = p, where n is the number of elements in the set and p is the number of available elements.
Therefore, the permutation of nine bands is:
Pn = n!
P9 = 9!
p9 = 362880
For what value of the constant c is the function f continuous on
(−∞,∞) where
f(b) = { cb + 9 if b ≤ 3
c(b)² − 9 if b > 3
9514 1404 393
Answer:
c = 3
Step-by-step explanation:
In order for the function to be continuous at b=3, the left and right limits must be the same. In short, we must have ...
c(3) +9 = c(3²) -9
18 = 6c . . . . . . . . add 9-3c to both sides
3 = c . . . . . . . . . . divide by 6
Function f is continuous when c=3.
PLSSS PLSSS I NEED HELPP
Answer:
Step-by-step explanation:
Perpendicular (p) = 8
base(b) = 7
Tan A = p/b
tan A = 8/7
A = tan ^-1(8/7)
A = 48.81°
Liam mixed together quarts of orange juice and quarts of pineapple juice. Then he added quarts of seltzer to make punch. How much more juice than seltzer did Liam use to make punch?
Answer:
[tex]2\frac{1}{4}[/tex]
Step-by-step explanation:
Question has missing details (See attachment).
Given
[tex]Orange\ Juice = 1\frac{1}{4}quart[/tex]
[tex]Pineapple\ Juice = 2\frac{1}{2}quart[/tex]
[tex]Seltzer = 1\frac{1}{2}quart[/tex]
Required
Determine how much juice than seltzer used.
To do this, we first calculate the total amount of juice
[tex]Juice = Orange + Pineapple[/tex]
[tex]Juice = 1\frac{1}{4} + 2\frac{1}{2}[/tex]
[tex]Juice = \frac{5}{4} + \frac{5}{2}[/tex]
Take LCM
[tex]Juice = \frac{5+10}{4}[/tex]
[tex]Juice = \frac{15}{4}[/tex]
Then subtract the amount of seltzer used.
[tex]Juice - Seltzer = \frac{15}{4}-1\frac{1}{2}[/tex]
[tex]Juice - Seltzer = \frac{15}{4}-\frac{3}{2}[/tex]
Take LCM
[tex]Juice - Seltzer = \frac{15 - 6}{4}[/tex]
[tex]Juice - Seltzer = \frac{9}{4}[/tex]
[tex]Juice - Seltzer = 2\frac{1}{4}[/tex]
The amount of juice used more than seltzer is [tex]2\frac{1}{4}[/tex]
Answer: 3 3/4 quarts
Hope this helps
7.
The expression 25(1.12)m represents a population of spiders after m months. Since a year hus
12 months, 25(1.12)12n represents the population of spiders after n years.
Which expression is approximately equivalent to 25(1.12)1207
A 25(2.44)"
B 25(3.90)"
с 25(13.12)
D 25(13.44)"
Answer:
C
Step-by-step explanation:
Twenty-one is greater than the sum of fifteen and two times a number
Answer:
21> 2x+ 15
Step-by-step explanation:
The expression is 21 > 15+ 2x
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Twenty-one is greater than the sum of fifteen and two times a number
let the number be x.
two times a number = 2x
and, sum of fifteen and two times a number = 15 + 2x
So, Twenty-one is greater than the sum of fifteen and two times a number
21 > 15+ 2x
Hence, the expression is 21 > 15+ 2x.
Learn more about algebra here:
https://brainly.com/question/24875240
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Write the equation of the line that has a slope of -3 that passes through the point (6, 2).
Answer: y=-3x+20
Step-by-step explanation:
Point slope formula = y-y1=m(x-x1)
y-2=-3(x-6)
y-2=-3x+18
y-2+2=-3x+18+2
y=-3x+20
Standard form is 3x+y =20
In a painting of the Mona Lisa, the length of the painting is 4 1/2 inches. Milo scales the drawing up by 2 3/4?
what kind of idiotic question is that
does a idiot teacher exists?
4 divided by 3.2 show work
To divide 4 by 3.2, we can use long division.
Here's the step-by-step process:
1.25
___________
3.2 | 4.00
3.2 (subtract 3.2 from 4.00)
_______
8
6.4 (bring down the 0)
_______
16
16 (subtract 16 from 16, no remainder)
_______
0
Therefore, 4 divided by 3.2 is equal to 1.25.
Learn more about Long division here:
https://brainly.com/question/29188115
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What is the y-intercept of the line with the equation 4y = -3x + 10?
Step-by-step explanation:
Given
4y = - 3x + 10
y = ( - 3x + 10 ) / 4
y = - 3/4 x + 10 / 4
y = - 3/4 x + 5 / 2
Comparing the given equation with y = mx +c Then
y - intercept (c) = 5/2
Hope it will help :)
A curious statistics student cannot get enough statistics, so he decides to analyze the percentage of students sleeping in his statistics class. He discovers that of the 30 students in his class, 47% of the students were asleep at some point during the class period. Assuming the 30 students is less than 10% of all the students taking statistics in his school, and assuming the 30 students in the class were randomly assigned to the class, what model would he use to analyze the percentage of sleeping statistics students
Answer:
c) N(.47, .09)
Step-by-step explanation:
Options to the question are "a) N(.30, .10), b) N(.30, .09). c) N(.47, .09), d) N(.47, .008), e) N(.30, .008)"
Pο = 47% = 0.47
n = 30
Mean = Pο = 0.47
S.D = Pο(1-Pο) / n
S.D = 0.47 * 0.53 / 30
S.D = 0.09
Thus, the percentage of sleeping statistics of students follows a Normal distribution with mean = 0.47 and S..D = 0.09
You're a contestant on a TV gameshow where you must choose between four identical looking suitcases containing $100, $100, $300, and $400. You start by randomly picking one suitcase. The host then opens the remaining suitcase with the lowest dollar amount. Now, you have the choice to keep your current suitcase or switch to one of the two remaining suitcases. With probability p= 0.7, you keep your original suitcase and open it. Otherwise, you are equally likely to choose either of two the remaining suitcases and open it. You win the money in the suitcase you opened.
Consider these events:
Ai is the event that the first suitcase you choose is worth i dollars.
Hi is the event that the host opens a suitcase worth i dollars.
Wi is the event that you win i dollars.
If you play this game five times, the probability that the event W400 occurs twice in five trials is:_______
Answer:
0.2990 = 29.90%.
Step-by-step explanation:
For each trial, there are only two possible outcomes. Either you win $400, or you do not. Trials are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of winning $400 in a trial:
1/4 probability of choosing the suitcase containing $400, and in this case, 0.7 probability of keeping it.
3/4 probability of choosing another suitcase. Then, 0.3 of 3/4 probability of changing the suitcase, and 0.5 of 0.3 of 3/4 probability of getting the suitcase containing $400. So
[tex]p = \frac{1}{4}*0.7 + \frac{3}{4}*0.3*0.5 = 0.25*0.7 + 0.75*0.15 = 0.2875[/tex]
If you play this game five times, the probability that the event W400 occurs twice in five trials is:_______
This is P(X = 2) when n = 5. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.2875)^{2}.(0.7125)^{3} = 0.2990[/tex]
The probability is 0.2990 = 29.90%.
Apply Theorem 22-B to solve for "b" State the proportion, and then the answer 27 12
Step-by-step explanation:
wnzhbavqqjqqjwiebwjebew wisiwbwjwbeirbeiwbso roiahanwje nw ewihsiabajaa wbwbw rohanajaiwiaba avaiavahwiwhvwabhabsjw aiajak a a a a akajana
zbajaibaaujabajaja
buwsusbvajz
Graph the system of
equations on the graph
and determine the
solution.
Y = -4x +2
Y =X +3
Answer:
(-0.2, 2.8)
General Formulas and Concepts:
Algebra I
Reading a Cartesian planeCoordinates (x, y)Solving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect is the solution to the systems of equations.
For the function f(x)=-7x-5, evaluate f(6)
Answer:
f(x)=-7x-5
f(6)=-7(6)-5
f(6)=-42-5
f(6)=-47
how many seconds are there in 8 minutes 12seconds
Answer:
1 minute has 60 seconds
therefore 8 minutes will have 60 × 8 seconds = 480 seconds
480 + 12 = 492
hence 8 minutes 12 seconds will have 492 seconds
Answer: 492 seconds
Step-by-step explanation:
1min = 60sec
therefore, 8min 12sec = [8 x 60] + 12
= 480 + 12
= 492 sec
Hope it helped u,
pls mark as the brainliest - Ayaan707 for help :) -
^_^
Find the surface area for a sphere with a radius of 10 feet. Round to the nearest whole number.
A.1.256
B.4.189
C.1,089
D.1,568
Answer:
C is my answer
Thank You
Mark me as Brainilest Answer please ty
Charlene and Gary want to make a perfume
2.39 2.58 2.17
Answer:
What is the question?
Step-by-step explanation:
Suppose the restaurant’s description of the weights of its hamburgers is true. The dotplot below
shows the distribution of sample means from 100 simulated SRSs of size n = 5 from a normally
distributed population with µ = 8 ounces and σ = 0.54 ounces.
(b) Would it be unusual to get a sample mean of 7.6 oz or less in a sample of size n = 5 from this
population? Explain.
(c) Based on your answer to part (b), is there convincing evidence that the mean weight of
hamburgers at this restaurant is less than 8 oz? Explain.
Answer:
Step-by-step explanation:
It would be unusual because there are only one 7.6 samples out of a total of 100 samples.
00:00
Anthony reads 1/2 chapter of his science book each night. He has 4 chapters left to read
How many nights will it take Anthony to finish the book? Enter your answer in the box.
nights
The number of nights that are needed to cover 4 chapters of the science book by Anthony is 8.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Anthony reads 1/2 chapter of his science book each night.
He has 4 chapters left to read.
[tex]\begin{aligned} \rm \dfrac{1}{2} \ chapeter &\rightarrow 1 \rm \ night\\\\1 \ \rm chapter &\rightarrow 2 \ \rm nights\\\\4 \ \rm chapters &\rightarrow 8 \ \rm nights \end{aligned}[/tex]
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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Are these answers right
Look at pictures
Complementary angles
Answer:
1) correct
2) correct
3) incorrect, x = 11
4) incorrect, x = 50
Step-by-step explanation:
3) 90-35 = 5x
5x = 55
x = 11
4) 90-56 = (x-16)
x-16 = 34
x = 50
Answer:
Step-by-step explanation:
3) 5x + 35 = 90 {Complementary angles}
5x = 90 - 35
5x = 55
x = 55/5
x = 11
4) 56 +x - 16 = 90 {Complementary angles}
x + 40 = 90
x = 90 - 40
x = 50
Which is an irrational number Square root of 21 3 5/8 2.4141414 or -13
Answer:
i dont know
Step-by-step explanation:
you bought 12 red apples and 15 green apples to make a pie?
what is the ratio of the number of red apples to the total number of apples simplified?
Answer:
4:9
Step-by-step explanation:
12 red apples and 27 apples in total so it would be 12:27. Just divided it by 3
I think that's what the question is asking...
I need help with this answer please
Answer:
The answer is C
Step-by-step explanation:
a. 4⁰= 2⁰
b. 4^-1 < 2^-1
c. 4¹ > 2¹ (CORRECT)
d. 4⁰ = 2⁰
Answer: x > 0
Step-by-step explanation: 4^x > 2^x graphed is x > 0