Answers
Answer:
b
Step-by-step explanation:
you can make it into an equation while the others you can just solve them
Related Questions
Suppose that Haley encounter two traffic lights on her commute to GGC campus. Based on
her past experience, she judge that the probability is 0.35 that the first light will be red when she gets to it,
0.45 that the second light will be red, and 0.20 that both lights will be red. Let R1 denote the event that the
first light is red, and let R2 denote the event that the second light is red.
a) Determine the probability that at least one light will be red. (Show how you calculate this.)
b) Determine the conditional probability that the second light will be red given that the first light is
red. (Show how you calculate this.)
c) Are the events R1 and R2 independent? Justify your answer numerically.
d) Are the events R1 and R2 disjoint (mutually exclusive)? Justify your answer numerically.
Answers
Answer:
Explained below.
Step-by-step explanation:
The information provided is,
P (R₁) = 0.35
P (R₂) = 0.45
P (R₁ ∩ R₂) = 0.20
(a)
Compute the probability that at least one light will be red as follows:
P (at least one light will be red) = P (R₁ ∪ R₂)
= P (R₁) + P (R₂) - P (R₁ ∩ R₂)
= 0.35 + 0.45 - 0.20
= 0.60
Thus, the probability that at least one light will be red is 0.60.
(b)
Compute the conditional probability that the second light will be red given that the first light is red as follows:
[tex]P(R_{2}|R_{1})=\frac{P(R_{1}\cap R_{2})}{P(R_{1})}[/tex]
[tex]=\frac{0.20}{0.35}\\\\=0.571428\\\\\approx 0.57[/tex]
Thus, the conditional probability that the second light will be red given that the first light is red is 0.57.
(c)
If two events, say A and B are independent then:
P (A|B) = P (A).
The value of P (R₂ | R₁) = 0.57.
And the value of P (R₂) = 0.45
P (R₂ | R₁) ≠ P (R₂)
Thus, the events R₁ and R₂ are not independent.
(d)
If two events, say A and B are mutually exclusive then:
P (A ∩ B) = 0
The value of P (R₁ ∩ R₂) = 0.20.
Thus, the events R₁ and R₂ are not mutually exclusive.
In a certain chemical, the ratio of zinc to copper is 4 to 17. A jar of the chemical contains 714 grams of copper. How many grams of zinc does it contain?
It contains
grams of zinc
Answers
Answer:
z= 168
Step-by-step explanation:
proportion zinc to copper = 4/17
4/17 = z/ 714
17 • z = 4 • 714
17 • z = 2856
z= 2856/17
z = 168
Answer:
60
Step-by-step explanation:
a tourist information center charges $10 per hour to rent a bicycle
Answers
Answer:
10per the other side of alloys
A number plus it’s opposite is ___ zero. always,sometimes,never
Answers
Answer:
always
Step-by-step explanation:
Select the values that correctly complete the problem. a = b = c = d = e =
Answers
Answer: 2/3 = b/ac = d/e
Step-by-step explanation:
This is all I got if I got it right. Is this one of your answers?
Answer:
a= 2
b=4
c=3
d=2
e=3
Step-by-step explanation:
i hope this helps.
A young reptile is 0.6 foot long. An adult reptile is 19.5 times as long. How many feet longer is the adult reptile than the young reptile?
Answers
11.7ft-0.6ft = 11.1 ft
answer is 11.1 ft longer
Identify next 3 numbers in this sequence 2,6,3,9,6,18,15
Answers
Siobhan earned $45 babysitting on Friday. On Saturday, she babysat for 5 hours at $4 per hour. On Sunday she bought a DVD for $32. How
much money did she have left after buying the DVD?
Answers
$30
Work: 45+20=65
65-35=30
The manager of a restaurant determined that the odds against a customer ordering dessert are 11/12 . What is the probability of a customer ordering dessert?
Answers
Answer:
1 out of 12
Step-by-step explanation:
12-11=1
Determine function of the following graph
Answers
( =< is less than or equal to)
If a =
3
5
, b = 3, c = 1, d = 5, which equality is true?
A)
d
a
=
b
c
B)
a
b
=
c
d
C)
b
a
=
c
d
D)
a
d
=
b
c
Answers
Answer:
could you give a picture of the problem. cause I may be able to help but I cant really understand the question with what you typed
Answer:
D
Step-by-step explanation:
just took this test
Question 1
1 pts
The function f(x) = 4x + 10 models the amount of money Francis makes when babysitting
for x hours. How much money will he make for 2 hours of babysitting work?
2.
0-2
O-3
O 18
Answers
Answer:
18 would be yr answer
Step-by-step explanation:
What is the solution to the equation 7,- 5* ++5
-
16
ff - 25?
h = 11
3
h = 5
h = 7
6
21
2
Answers
Answer:
the answer to the problem is h=7
help me please thank you
Answers
Express the percent as a decimal. { 98% }
Answers
Answer:
98.
Step-by-step explanation:
Answer:
0.98 would be the 98% as a decimal
Help me out please I need help
Answers
you just need to figure out what the difference of an hour and a minute is. an hour=60 minutes so you would want to divide 420 by 60 to get your answer
Analyzing a Linear Function Expressed in Different Ways Choose the true statements. A linear function is expressed by a graph of a line that crosses both axes at the origin. An equation is written in slope-intercept form to express the same function as shown in the graph. From just this information, what statements can be made? A) The slope of the equation must be positive. B)The y-intercept of the equation is zero. C) It is possible that the line on the graph is horizontal. D) The slope of the equation must be negative.
Answers
Answer: The answer is option B and option C.
Answer:
B and C
Step-by-step explanation:
In a study of the effect of aluminum intake on the mental development of infants, a group of 54infants who had been born prematurely were given a special aluminum depleted intravenous-feeding solution. At an adjusted age of 18 months,the neurologic development of the infants were measured using the Bayley Mental Development Index (BMDI), a unitless scale with higher scores indicating higher development. They had a sample mean BMDI of 97.4 and a sample standard deviation of 18.0.The (BMDI) is similar to an IQ score, with 100 being the average in the general population.
Assuming all relevant assumptions are met, carry out the appropriate testto determine if infants who receivedthealuminum depleted intravenous-feeding solution had a significantly differentaverage BMDI score thaninthe general population. Be sure to include all the stepsfor full credit.
Given:critical value= = 2.00
Answers
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The no sufficient evidence to conclude that the average BMDI score is different from the general population
Step-by-step explanation:
From the question we are told that
The sample size is n = 54
The sample mean is [tex]\= x = 97.4[/tex]
The standard deviation is [tex]s = 18.0[/tex]
The population mean is [tex]\mu = 100[/tex]
The critical value is [tex]t_{critical } = 2.0[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \mu}{\frac{s}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 97.4 - 100}{\frac{ 18}{\sqrt{54} } }[/tex]
=> [tex]t =-1.062[/tex]
Comparing the obtained t statistics with the critical value we see that
The critical value is not within the region of rejection (i.e -1.062 to 1.062 )
Hence the decision rule is
Fail to reject the null hypothesis
The conclusion is
The no sufficient evidence to conclude that the average BMDI score is different from the general population
simplify 3 · 32 + 8 ÷ 2 − (4 + 3)
Answers
Answer:
= 93
Step-by-step explanation:
Calculate within parentheses:
(4+3)
= 7
Simplify:
= 3 * 32 + 8 ÷ 2 - 7
Multiply and divide (left to right):
= 96 + 8 ÷ 2 - 7
Multiply and divide (left to right):
= 96 + 4 - 7
Add and subtract (left to right):
= 93
The slope of a line is ¾. A different line passes through the points (6, 3) & (-1, 5). Are the lines parallel? Why or why not?
Answers
Answer:
B. They are not parallel because their slopes are not equal.
Step-by-step explanation:
Find the slope of the line that runs through points (6, 3) and (-1, 5):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 3}{-1 - 6} [/tex]
[tex] slope (m) = \frac{2}{-7} = -\frac{2}{7} [/tex]
Since the slope of the line that passes through points (6, 3) and (-1, 5) is not the same with line that has a slope of ¾, therefore, both lines cannot be parallel.
The answer is "B. They are not parallel because their slopes are not equal."
the set
of whole number less than 20
Answers
Answer:
maybe 3, 6, 9, 12, 15, 18?
Step-by-step explanation:
sorry if this doesn't help but I hope someone else can help you! good luck
The only expression 3(2x+7)-4(-3x+5) is equal (=) to
Answers
Answer:
18x + 1
Step-by-step explanation:
3(2x + 7) -4(-3x +5)
6x + 21 + 12x - 20
6x + 12x + 21 - 20
18x + 1
Answer:
18x+1
Step-by-step explanation:
3(2x+7)-4(-3x+5)= 6x+21+12x-20
Combine Like Terms:
6x+12x= 18x
21-20=1
=18x+1
(x+5) (x+4) give me the answers quick please
Answers
[tex] \red { \orange {\boxed {\boxed{Answers}}}}[/tex]
[tex] = (x + 5)(x + 4)[/tex]
[tex] = {x}^{2} + 4x + 5x + 20[/tex]
[tex] = {x}^{2} + 9x + 20[/tex]
Rewrite the expression by factoring out (w-7).
3w2(w– 7) - 5(w-7)
Answers
I think this is what they mean by factoring it out
y=3x+22
x is equal to 225
Answers
9514 1404 393
Answer:
y = 697
Step-by-step explanation:
Put the value of x into the equation and do the arithmetic.
y = 3·225 +22 = 675 +22
y = 697
Eloise practiced piano for 25 of an hour. Sarah practiced piano for 34 of an hour.
How much longer did Sarah practice than Eloise?
Answers
Answer:
34 - 25 = 9
Step-by-step explanation:
guys they meant 2/5 and 3/4...
People living in a society where one person rules by force have which type of government?
Answers
Answer:
An autocracy is a government structure in which the ultimate political authority is concentrated in one person's hands.
Hope this helps please give me brainliest!
God bless!
An autocracy.
An autocracy is a system of government in which a supreme political power is concentrated in the hands of one person.
a cruise ship sailed for 9 hours at a speed of 18 miles per hour how far did a cruise ship sell
Answers
Answer:
162 miles
Step-by-step explanation:
Step 1:
9 : 18 Rate
Step 2:
9 × 18 Equation
Answer:
162 miles Multiply
Hope This Helps :)
All of the following represent the same function except
Answers
All of the aforementioned represent the same function except: C. {(0, 1), (2, 3), (4, 5), (7, 8)}.
What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.
The types of function.In Mathematics, there are different types of function and these include the following;
Modulus functionSignum functionPeriodic functionInverse functionPiece-wise defined function.Logarithm functionFrom the first mapping, we can logically deduce the following:
when x = 1, y = 0
y = x - 1
0 = 1 - 1
when x = 3, y = 2
y = x - 1
2 = 3 - 1
when x = 5, y = 4
y = x - 1
4 = 5 - 1
when x = 8, y = 7
y = x - 1
7 = 8 - 1
For the ordered pair, we have:
when x = 0, y = 1
y = x + 1
1 = 0 + 1
when x = 2, y = 3
y = x + 1
3 = 2 + 1
when x = 4, y = 5
y = x + 1
5 = 4 + 1
Therefore, the function for these ordered pairs is equal to y = x + 1.
For the table of value, we have:
when x = 1, y = 0
y = x - 1
0 = 1 - 1
In this context, we can reasonably infer and logically deduce that all of the aforementioned represent the same function except {(0, 1), (2, 3), (4, 5), (7, 8)}.
Read more on functions here: https://brainly.com/question/20458982
#SPJ1
Which of the following is equal to 7%?
O A. A
O B. 73
O C. 173
O D.
SUBMIT
Answers
The decimal equivalent of 7% is, C. 0.07.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
We know, Percentages and decimals are related to each other.
Decimals can be converted into percentages by multiplying them by 100
and vice versa.
Given, We have to find the decimal equivalent of 7%.
The decimal equivalent of 7% is,
= 7/100.
= 0.07.
Q. Which of the following is equal to 7%?
A. 7.
B. 0.7.
C. 0.07.
D. 7%.
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ7