Answer:
P(A) = 0.1620 , P(A|B) = 0.0707
Step-by-step explanation:
Total people = 10 + 15 + 20 = 45 , Sophomores = 10, Juniors = 15 , Seniors = 20
P(A) , exactly 3 juniors selected = (15 c 3) (30 c 2) / (45 c 5) = (455 x 435) / 1221759 = 0.1620
P (B) , exactly 2 seniors selected = (20 c 2) (25 c 3) / (45 c 5) = (190 x 2300)/ 1221759 = 0.3576
P(A|B), exactly 3 juniors & exactly 2 seniors selected = P (A∩B) / P (B)
(15 c 3) (20 c 2) / (45 c 5) = (455 x 190) / 1221759 = 0.0707
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:
No
Step-by-step explanation:
(2, 6) is not a solution to the given system of linear equations.
y = 5x - 4 = 5*2 - 4 = 10 - 4 = 6
y = - 1/2x + 8 = - 1/2 * 2 + 8 = - 1 + 8 = 7
Since, point (2, 6) does not satisfy to equation 2.
Therefore, (2, 6) is not a solution to the given system of linear equations.
Answer:
no
Step-by-step explanation:
someone help please
Answer:
(0, 1) and (4, 7)
Step-by-step explanation:
We are going to find the equation that satisfy the question.
The equation of a line is: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.
The problem gives us the slope and a point the line passes through.
In order to find b, we plug in the given point (2,4) and solve.
[tex]4=\frac{3}{2} *2+b[/tex]
[tex]4=3+b\\1=b\\[/tex]
The equation for the line is:
[tex]y=\frac{3}{2} x+1[/tex]
By plugging in the points to see if it is true, we get that only (0,1) and (4,7) are on the line.
The period of y = sinx/4 is
Answer:
8π
Step-by-step explanation:
[tex]\frac{x}{4} =2 \pi\\x=2 \pi \times 4=8 \pi[/tex]
Convert 45ft from feet to yards
PLS.Answer
Answer:
15 yards
Step-by-step explanation:
3ft=1yard
45/3=15
Find the voulume of a sphere. With a radius of 1/2
Answer:
Volume ≈ 0.5236
Step-by-step explanation:
V=4/3πr3=4/3·π·0.53≈0.5236
if the function f(x)=2x-3 and g(x)= 3/2x + 1 which is a tru statement?
1- f(0)>g(0)
2- f(2)=g (2)
3- f(8)=g(8)
4- g(4)<f(4)
Answer: 3 f(8)=g(8)
Step-by-step explanation:
2(8)-3=3/2(8)+1
16-3=12+1
13=13
Answer:
3 is true
Step-by-step explanation:
f(x) =2x - 3→ 2*8 - 3 =13
g(x) = 3/2x + 1 → 3/2(8) + 1 = 3*4 +1 = 14
Determine the equivalent system for the given system of equations.
4x − 5y = 2
10x − 21y = 10
A. 4x − 5y = 2
3x − y = 4
B. 4x − 5y = 2
24x − 47y = 22
C. 4x − 5y = 2
10x + 3y = 15
D. 4x − 5y = 2
14x + 26y = 12
Answer:
B) 4x − 5y = 2
24x − 47y = 22
An orange juice container starts with 6 7/8 cups of juice. How much orange juice is left after three 1 1 /4-cup servings are poured? WHO EVER HELPS WILL GET BRAINLIEST.
Answer:
answer is 3 1/8
Step-by-step explanation:
In the picture is what my teacher did.
Round 117.22666 to the nearest tenths
Answer:
117.2
Step-by-step explanation:
I hope this helps a little bit.
What is .06 x .2 please answer
Answer: .012
Step-by-step explanation: 6*2 is 12, and you can simply use the number of decimal points on the smaller term to get .012
Answer:
should be .12
Step-by-step explanation:
.06 multiplied by 2 is .12
hi, if your looking for extra points (50+) and brainiest here is ur chance, answer this question correctly plz
Answer:
i will take company (a) because they are giving in less rate
Answer:
You would want to go with A
Step-by-step explanation:
If you do plan a it is 180 dollars a year when you spend 15 dollars per GB, B is cheaper on the other hand because it is 75 dollars a month so therefore 900 dollars a year
A is cheaper
Josie does 9 minutes
of stretches before she runs. She runs for
20 minutes. Then she does 7 minutes of cool
down exercises. The clock shows the end time 3:45 of
her workout. At what time does Josie start her
workout? Describe how you found the time.
Answer: Josie starts working out at 3:09
Step-by-step explanation: I found this answer by adding the workout time together.
Answer:
3:09
Step-by-step explanation:
First add the total time of the workout
20+9+7=36
then subtract the end time 3:45 with the workout time:
3:45-00:36=3:09
Check work:
3:09+00:36=3:45
4 5/6 - 4 1/3 in simplest form
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{4\dfrac{5}{6}-4\dfrac{1}{3}\ =}[/tex]
[tex]\mathsf{4\dfrac{5}{6}=\bf \dfrac{29}{6}}[/tex]
[tex]\mathsf{4\dfrac{1}{3}=\bf \dfrac{13}{3}}[/tex]
[tex]\mathsf{\dfrac{29}{6}-\dfrac{13}{3}}[/tex]
[tex]\mathsf{\dfrac{(29\times3)-(13\times6)}{6\times3}}[/tex]
[tex]\mathsf{29\times3 = \bf 87}\leftarrow \large\textsf{\underline{NUMERATOR}}[/tex]
[tex]\mathsf{13\times6= \bf 78}\leftarrow\large\textsf{\underline{NUMERATOR}}[/tex]
[tex]\mathsf{\dfrac{\bf 87-78}{6\times3}}[/tex]
[tex]\mathsf{87-78=\bf 9}\leftarrow\large\textsf{\underline{NUMERATOR}}[/tex]
[tex]\mathsf{\dfrac{\bf 9}{6\times3}}[/tex]
[tex]\mathsf{6\times3 = \bf 18}\leftarrow\large\textsf{\underline{DENOMINATOR}}[/tex]
[tex]\mathsf{\dfrac{9}{\bf 18}}[/tex]
[tex]\mathsf{\dfrac{9\div9}{18\div9}}[/tex]
[tex]\mathsf{9\div9=\bf 1}\leftarrow \large\textsf{NUMERATOR}[/tex]
[tex]\mathsf{\dfrac{\bf 1}{18\div9}}[/tex]
[tex]\mathsf{18\div9= \bf 2}\leftarrow\large\textsf{DENOMINATOR}[/tex]
[tex]\mathsf{ = \dfrac{1}{\bf 2}}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf \dfrac{1}{2}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The table represents an exponential function. What is the multiplicative rate of change of the function? 07 1 2 un un 3 2 2 5 2 25 2. 125 O 2 4 O 5
Answer:
Step-by-step explanation:
1/5
Answer: 1/5
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
B) one solutionStep-by-step explanation:
to understand thisyou need to know about:linear equationPEMDAStips and formulas:[tex]\sf\text{a system of linear equation has only one solution if $\frac{a_1}{a_2}\neq \frac{b_1}{b_2}$}[/tex]given:[tex] \begin{cases}2x - 4y = - 1 \\ 8x - 11y = - 19 \end{cases}[/tex]let's solve:[tex] \sf substitute \: the \: value \: of \: a \: b : \\ \frac{2}{8} \ne \frac{ - 4}{ - 11} \\ [/tex][tex]\text{$\therefore$ the system of linear equation has only one solution}[/tex]
How many chicks hiding? Explain how you know.
CAN SOMEONE HELP PLEASE ASAP!!! ILL MAKE YOU BRAINLIEST
Answer:
I think the answer is D but I'm not 100 percent sure. I hope this helps
Step-by-step explanation:
I think I took this test before
The angle measurements in the diagram are represented by the following expressions
Helpp
Answer:
5x-15 = 2x+21
x=12
Step-by-step explanation:
Vertical and Corresponding Angles can be used to prove so.
What are the solutions to the following equation?
[m] = 8.5
The value of m is equal to 8.5 and
because each distance from zero is 8.5.
Answer: -8.5
Step-by-step explanation:
I got it right on edg
Answer -8.5
Step-by-step explanation:
A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. The distribution of life spans for electric ranges has a mean of 13.4 years and a standard deviation of 3.7 years. Both distributions are moderately skewed to the right. Suppose we take a simple random sample of 35 gas ranges and a second SRS of 40 electric ranges. Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?
a. Mean = 1.6 years, standard deviation = 7.9 years, shape: moderately right-skewed.
b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.
c. Mean= 1.6 years, standard deviation = 0.92 years, shape: moderately right skewed.
d. Mean =1.6 years, standard deviation =0.40 years, shape: approximately Normal.
e. Mean =1.6 years, standard deviation =0.40 years, shape: moderately right skewed.
Answer:
b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction of normal Variables:
When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. Sample of 35:
This means that:
[tex]\mu_G = 15[/tex]
[tex]s_G = \frac{4.2}{\sqrt{35}} = 0.71[/tex]
The distribution of life spans for electric ranges has a mean of 13.4 years and a standard deviation of 3.7 years. Sample of 40:
This means that:
[tex]\mu_E = 13.4[/tex]
[tex]s_E = \frac{3.7}{\sqrt{40}} = 0.585[/tex]
Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?
Shape is approximately normal.
Mean:
[tex]\mu = \mu_G - \mu_E = 15 - 13.4 = 1.6[/tex]
Standard deviation:
[tex]s = \sqrt{s_G^2+s_E^2} = \sqrt{0.71^2+0.585^2} = 0.92[/tex]
So the correct answer is given by option b.
Write the equation of the line, in slope-intercept form, through the
following two points
(-4,-9)
(1, 11)
Answer:
(1, 11)
that the answer
I don't know it is not sure it say Write the equation of the line, in slope-intercept form, through the
following two points
that why i say that
When six times a number is decreased by 8, the result is 10. The number is
Answer:
3
Step-by-step explanation:
6 x 3 = 18 - 8 = 10
Write 6^4 in expanded form. Then evaluate.
Answer:
expanded form: 6x6x6x6
answer: 1296
Step-by-step explanation:
Divide x2 by x - 1. What is the value of the remainder?
A) 1
B) -1
C) 2
D) o
Answer:
I think it's B.
Step-by-step explanation:
Divide using polynomial division.
x + 1 + 1/ x − 1.
Maybe not 100% sure.
a) work out the size of angle x
b) give reasons for your answer
Answer:
angle B=100 degrees
vertically opposite angle
angle B +x= 180 degree
100-180=x
80 degree =x
Answer:
x = 80°
Step-by-step explanation:
GIVEN :-
AD ║ EHCG as transversal∠CBD = 100°∠EFB = x°TO FIND :-
The measure of x°PROCEDURE :-
∠CBD + ∠FBD = 180° (∵ ∠CBD & ∠FBD form a linear pair )
⇒ ∠FBD = 180° - 100° = 80°
Also,
∠FBD = ∠EFB (∵ Alternative Interior Angles are equal )
⇒ x = 80°
Help ASAP ASAP
Help asappp
Answer:
-3.9
Step-by-step explanation:
What is equivalent to -8z+ (-3.5) +1.5z+3y-5.5
Answer: =3y−6.5z−9
Step-by-step explanation:
All of the following monomials are factors of 24x^3z^2–6x^4z^3+12x^2z except:
F. x^2z
G. 3
H. 3x^2z
J. 4xz
K. 6xz
Answer:
G
Step-by-step explanation:
are they parallel???????????????
f(x) = 4x - 12
F1(x)=