Answer:
You should try googling it one by one and study it. I can't asnwer it becuase im a little confused but I can help you get on the right track.
Urn 1 contains 4 green and 5 yellow marbles. Urn 2 contains 7 green and 4 yellow marbles. An experiment consists of choosing one of two urns at random then drawing a marble from the chosen urn. Urn 1 is more likely to be chosen than Urn 2 with probability 0.63.
Required:
a. What is the probability that a green marble was chosen?
b. What is the probability that a yellow marble was chosen, if it is known that Urn 2 was chosen?
c. What is the probability that Urn 1 was chosen, if it is known that a yellow marble was drawn?
Answer:
a
[tex]P(N_g) = 0.5155[/tex]
b
[tex]P(K ) = 0.36364[/tex]
c
[tex]P(U1 | N_y ) = 0.7223[/tex]
Step-by-step explanation:
From the question we are told that
The number of green marbles in Urn 1 is [tex]N_g = 4[/tex]
The number of yellow marbles in Urn 1 is [tex]N_y = 5[/tex]
The number of green marbles in Urn 2 is [tex]n_g = 7[/tex]
The number of yellow marbles in Urn 1 is [tex]n_y = 4[/tex]
The probability of choosing Urn 1 is [tex]P(U1) = 0.63[/tex]
The probability of choosing Urn 2 is [tex]P(U2) = 1- 0.63 =0.37[/tex]
Generally the total marble in Urn 1 is
[tex]N_t = N_g +N_y[/tex]
=> [tex]N_t = 4 + 5[/tex]
=> [tex]N_t = 9[/tex]
Generally the total marble in Urn 2 is
[tex]n_t = n_g +n_y[/tex]
=> [tex]n_t = 7+4[/tex]
=> [tex]n_t = 11[/tex]
Generally the probability of choosing green marble is
[tex]P(N_g) = P(U1 ) * \frac{N_g}{N_t} + [P(U2 ) * \frac{n_g}{n_t} ][/tex]
=> [tex]P(N_g) = 0.63 * \frac{4}{9} + [0.37 * \frac{7}{11} ][/tex]
=> [tex]P(N_g) = 0.5155[/tex]
Generally the probability that a yellow marble was chosen, if it is known that Urn 2 was chosen is mathematically represented as
[tex]P(K ) = \frac{n_y}{n_t}[/tex]
=> [tex]P(K ) = \frac{4}{11}[/tex]
=> [tex]P(K ) = 0.36364[/tex]
Generally the probability of choosing yellow marble is
[tex]P(N_y) = P(U1 ) * \frac{N_y}{N_t} + [P(U2 ) * \frac{n_y}{n_t} ][/tex]
=> [tex]P(N_y) = 0.63 * \frac{5}{9} + [0.37 * \frac{4}{11} ][/tex]
=> [tex]P(N_y) = 0.4845[/tex]
Generally the probability that Urn 1 was chosen, if it is known that a yellow marble was drawn is mathematically represented as
[tex]P(U1 | N_y ) = \frac{ P( U1 \ n N_y)}{P(N_y)}[/tex]
=> [tex]P(U1 | N_y ) = \frac{0.63 * [\frac{5}{9} ] }{0.4845 }[/tex]
=> [tex]P(U1 | N_y ) = 0.7223[/tex]
Find the value of x.
Find the value of y.
Y
61
X
Answer:
61=x ( vertical opposite angle)
61=y (corresponding angle)
Step-by-step explanation:
y = 61°( corresponding angles)
x = y = 61°(vertically opposite angles)
Answer please here is a picture:
Answer:
Step-by-step explanation:
No, 3/4 is equivalent to 0.75 so 0.34 and 3/4 are not equivalent.
Answer:
no
Step-by-step explanation:
because 3/4 equals to 0.75 or 75%
1/4 = 0.25 or 25%
2/4 or 1/2 = 0.50 or 50%
3/4 = 0.75 or 75%
4/4 or 1 = 1 or 100%
Suppose that the economy is experiencing a recession with an estimated recessionary gap of $10 billion. Congress is considering the use of fiscal policy to ease the recession, but due to current political sentiments, it has determined that the maximum spending increase the government is willing to support is $3 billion. It wants to make up the remainder of the recessionary gap using tax cuts.
If a spending increase of $3 billion is approved and the MPC is 0.6, by how much will taxes need to be reduced to close the remainder of the recessionary gap?
Answer:
4.66 billion
Step-by-step explanation:
the lines below are parrellell. if the slope of the green line is -2. what is the slope of the red line
Answer:
ummm.... -2 ? because both lines are parallel they have the same slope
Miguel is multiplying 58 by 12.
Answer:
696
Step-by-step explanation:
How many times does the digit one appear from 101 to 200
Answer:
Step-by-step explanation:
Let's get the answer first and then we can discuss how it is done. The answer is 119.
There is a problem. The question does not state whether or not 101 is included. If it is 119 is correct. If the question is between 101 and 200 then the answer will be 117.
How was it done? A programming language was used. So it counted by brute force.
From 101 to 120 we get
101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120
32 Certainly there must be a quicker way
101 = 2
102 to 109 = 1 * 8 = 8
110 to 119 = 10*2 = 20
111 has an extra 1 = 1
120 has 1
Total 32
From here it gets a bit easier.
121 2
122 - 129 8
total 10
130 1
131 2
132 - 139 8
total 11
140 to 149 11
150 to 159 11
160 to 169 11
170 to 179 11
180 to 189 11
190 to 199 11
total 7 * 11 + 32 + 10 = 119
\The graph for the equation y = negative x + 2 is shown below. On a coordinate plane, a line with positive slope goes through (0, 2) and (2, 0). If another equation is graphed so that the system has an infinite number of solutions, which equation could that be? y = negative 2 (x minus 1) y = negative (x + 2) y = negative one-fourth (4 x minus 8) y = negative one-half (x + 4)
An infinite number of solutions is generated with a multiple of the first function, hence, the correct option is:
[tex]y = -\frac{1}{4}(4x - 8)[/tex]
The graph given is:
[tex]y = -x + 2[/tex]
When two equations are multiple, the system involving these two equations has infinite solutions.
Among the options, the multiple of the original function is:
[tex]y = -\frac{1}{4}(4x - 8)[/tex]
[tex]y = -x + 2[/tex]
Hence, [tex]y = -\frac{1}{4}(4x - 8)[/tex] is the correct option.
A similar problem is given at https://brainly.com/question/25718527
The correct answer is C
-Banana
Helpp meee!?!!!!!
?!!?!
!?!
Answer:
You have to draw we cant draw 4 you sorry i cant help
Step-by-step explanation:
Write an equation of the line that passes through (-1,3) and is parallel to the line y=2x+2
Answer:
The new line will be parallel to the line represented by y =2x +2
The equation y = 2x + 2 is written in slope- intercept form (i.e. y=mx + b) where m represents the slope. So the slope of this line is 2. A line parallel to y = 2x + 2 will have the same slope. This means the slope of the new line will also be 2.
To determine the equation of the new line, we can use the given point to find the y intercept of the new line:
y = 2x + b
Use x = -1 and y =3 to find b (or the y intercept ) of the new line:
3 = 2 * (-1) + b
3= -2 + b
b=5
Therefore, the equation of the line passing thru (-1,3) with the same slope as that of y = 2x + 2 will be: y = 2x + 5
(Hope it can help)
Answer:
y=2x+5
Step-by-step explanation:
hope you understood
The average number of passes in a football game is right skewed with mean 75 and variance 961. If we sample 100 random games, what is the probability our average would be more than 83.7?
Answer:
0.0066
Step-by-step explanation:
Given that:
Mean [tex]\mu[/tex] = 75
Variance [tex]\sigma^2 =961[/tex]
The standard deviation [tex]\sigma = \sqrt{961} = 31[/tex]
The sample size n = 100
[tex]\mu = \mu_{\overline x} = 75[/tex]
[tex]\sigma _{\overline x} = \dfrac{\sigma }{\sqrt{n}}[/tex]
[tex]\sigma _{\overline x} = \dfrac{31 }{\sqrt{100}}[/tex]
[tex]\sigma _{\overline x} = \dfrac{31 }{10}}[/tex]
[tex]\sigma _{\overline x} = 3.1[/tex]
[tex]P(\overline x > 83.7) = 1 - P( \overline x < 83.7)[/tex]
[tex]P(\overline x > 83.7) = 1 -P\bigg ( \dfrac{\overline x - \mu_{\overline x} }{\sigma _{\overline x}} < \dfrac{83.7 - 76}{3.1} \bigg)[/tex]
[tex]P(\overline x > 83.7) = 1 -P\bigg ( Z< \dfrac{7.7}{3.1} \bigg)[/tex]
[tex]P(\overline x > 83.7) = 1 -P ( Z< 2.48)[/tex]
Using the Z table;
P(x > 83.7) = 1 - 0.9934
P(x > 83.7) = 0.0066
Thus, probability = 0.0066
Claim: Fewer than 92% of adults have a cell phone. In a reputable poll of 1207 adults, 85% said that they have a cell phone. Find the value of the test statistic,
Round to two decimal places as needed
Answer:
- 6.547
Step-by-step explanation:
Given that:
Sample size (n) = 1207
p = 0.85
p0 = 0.92
The test statistic :
Z = (p - p0) / √(p0(1 - p0) / n)
Z = (0.85 - 0.92) / √(0.92(1 - 0.85) / 1207)
Z = - 0.07 / √(0.92(0.15) / 1207)
Z = - 0.07 / √0.0001143
Z = - 0.07 / 0.0106926
Z = - 6.5465446
Z = - 6.547
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
18 cm
30 cm
24 cm
22 cm
Help me!, CERTAIN ANSWRS INLY I DONT UNDEDRSTNDDDDDD THANK YOU IN ADVance
Answer:
Initial temperature = 20° C
Temperature after 18 minutes = 4° C
Step-by-step explanation:
Function representing the relation in the temperature of the soda and time has been given as,
T(x) = [tex]-8+28e^{-0.045x}[/tex]
Here x = number of minutes since the can was placed in the cooler
For initial temperature of the soda,
x = 0,
T(0) = [tex]-8+28e^{(28\times 0)}[/tex]
= -8 + 28(1)
= 20° C
For the temperature after 18 minutes,
x = 18,
T(18) = [tex]-8+28.e^{-0.045\times 18}[/tex]
= [tex]-8+28.e^{(-0.81)}[/tex]
= [tex]-8+12.456[/tex]
= 4.456 C
≈ 4° C
An industrial factory makes 2 3/8 yards of rope every minute. The cost of each yard is $4.06. What is the total cost of rope that can be made in 15 minutes?
A. $36.63
B. $60.90
C. $21.44
D. $144.66
Each week as part of her workout, Monica walks 0.5 mile, runs 1.6 miles, and then walks 0.75 mile.
How many total miles will Monica walk and run in a year? Reminder: there are 52 weeks in a year.
Enter your answer in the box.
miles
Answer:
-2 or -5
Step-by-step explanation:
( shown in photo below )
pls anwer quick, i need this before tomorrow
Answer:
SYNTAX ERROR
Step-by-step explanation:
can someone help me with this
Answer:
16 + 10 ÷ 2
Step-by-step explanation:
We adding 16 to 10. So, 16 + 10. We then divide it by two. So, it is 16 + 10 2
5x-7=5x bud it no solution one solution infinitely many solutions
Answer:
When you add 2+3 which equals 5 so it’ll be y=5x-7. And plug in y into the other equation. 5x-7-5x+8=0. -7-8=0, -7-8 =-1 therefore there is no solution because-7-8= -1 not 0.
Step-by-step explanation:
What postulate proves the two triangles are congruent?
Answer:
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent
Step-by-step explanation:
I'm not sure the answer
List the sides of Triangle STU in order from greatest to least if angle S=7x-36, angle T=5x-1, and angle U=x+9
A. ST,TU,ST
B. ST,TU,SU
C. TU,ST,SU
Answer:
SU, TU, ST
Step-by-step explanation:
Given:
<S = 7x - 36,
<T = 5x - 1,
<U = x + 9
First, find the value of x
(7x - 36) + (5x - 1) + (x + 9) = 180° (sum of ∆)
7x - 36 + 5x - 1 + x + 9 = 180
Collect like terms
13x - 28 = 180
Add 28 to both sides
13x = 180 + 28
13x = 208
Divide both sides by 13
x = 16
Next, find the measure of each angle.
<S = 7x - 36,
Plug in the value of x
m<S = 7(16) - 36 = 76°
<T = 5x - 1,
m<T = 5(16) - 1 = 79°
<U = x + 9
m<U = 16 + 9 = 25°
The size of each angle of a triangle is tells how much longer or shorter the length of the side opposite it is. The greater the degree of am angle, the longer the side, and vice versa.
Thus.
The largest angle in ∆STU is <T, which is opposite to side SU. This means the greatest side is SU.
The medium angle is <S, which is opposite to side TU. This means side TU is the medium side.
The smallest angle is <U, which is opposite to side ST. This means the least side would be ST.
From greatest to the least, the sides of ∆STU are:
✅SU, TU, ST
How does carbon move from plants to animals?
Group of answer choices
Photosynthesis
Decomposition
Ingestion (eating)
Respiration
Answer:
Carbon moves from plants to animals. Through food chains, the carbon that is in plants moves to the animals that eat them. ... Animals and plants need to get rid of carbon dioxide gas through a process called respiration. Carbon moves from fossil fuels to the atmosphere when fuels are burned.
Step-by-step explanation:
Answer:
Photosynthesis
Step-by-step explanation:
Mr. Williams drove 440 miles in 8 hours, on the highway, at a steady speed. How far could he drive in five hours at the same average speed?
Answer:
275 miles
Step-by-step explanation:
What is 3250 divided by 1/2
Answer:
6500
Step-by-step explanation:
KCF
3250/1 ÷ 1/2
3250/1 x 2/1
3250 x 2= 6500
1 x 1 = 1
final answer 6500/1 or 6500
Ms. Swanson asked the question how does knowing the fact 6x5 help you find 60x500? can someone help me my teacher wrote this
Answer:
YOU DID THAT TEST? samee
Step-by-step explanation:
There are 6 triangles and 2 circles. What is the simplest ratio of circles to total shapes?
Answer 1:4
solve this question step by step
Answer:
BE = 49
Step-by-step explanation:
In triangle BDC
65^2=56^2+BD^2
65^2-56^2=BD^2
4225-3136=BD^2
1089=BD^2
33=BD
In triangle FDE
65^2=63^2+DE^2
4225-3969=DE^2
256 = DE^2
16=DE
since ED+DB=BE
THEREFORE
16+33=BE
49=BE
PLEASEEEE HELPPP MEEE
6 and 7 PLEASE
Answer:
Question 6
[tex]\left(5a+2\right)\left(a+4\right)=\:5a^2+22a+8[/tex]
Question 7
The width is 2x.
Step-by-step explanation:
Question 6)
Expand
[tex](5a+2)(a+4)[/tex]
solving to the expand
[tex](5a+2)(a+4)[/tex]
[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex][tex]a=5a,\:b=2,\:c=a,\:d=4[/tex]
so the expression becomes
[tex]=5aa+5a\cdot \:4+2a+2\cdot \:4[/tex]
[tex]=5aa+5\cdot \:4a+2a+2\cdot \:4[/tex]
[tex]=5a^2+20a+2a+8[/tex]
adding similar elements: 20a+2a=22a
[tex]=5a^2+22a+8[/tex]
Hence,
[tex]\left(5a+2\right)\left(a+4\right)=\:5a^2+22a+8[/tex]
Question 7)
Given
[tex]A\:=\:8x^2[/tex][tex]l=4x[/tex]Using the formula
width = Area/Length
[tex]=\:\frac{8x^2}{4x}[/tex]
[tex]=2x[/tex] ∵ [tex]\mathrm{Divide\:the\:numbers:}\:\frac{8}{4}=2[/tex]
Therefore, the width is 2x.
i am less than 10, i am a multiple of 2, i am a composite.
Answer:
8
Step-by-step explanation:
Jonathan wants to make mashed potatoes for eight people. He found a recipe which feeds two people and requires five ounces of potatoes. How many potatoes does he need? (express your answer in pounds and ounces) (1 lb = 16 oz)
ANSWER ASAP
SHOW WORK
Answer:
2lb 32 oz.
Step-by-step explanation:
because 2=5 so 8=32
32 divided by 2 =16 so 32 oz 2lb