Complete Question:
Frank has a 41% chance of receiving an A grade in statistics, a 36% chance of receiving an A grade in geology, and a 23% chance of receiving A grades in both statistics and geology. Find the probability that he receives an A in statistics or geology (or both) Write your answer as a decimal (not as a percentage).
Answer:
The probability that he receives an A in statistics or geology (or both) is:
0.54
Step-by-step explanation:
Probability of receiving an A grade in statistics = 41% or 0.41
Probability of receiving an A grade in geology = 36% or 0.36
Probability of receiving A grades in both statistics and geology = 23% or 0.23
Let S = statistics and p(S) = probability of A grade in statistics
Let G = geology and p(G) = probability of A grade in geology
Let p(S and G) = probability of A grades in statistics and geology.
The probability that he receives an A in statistics or geology (or both) is:
= p(S + G) - p(S and G)
= (0.41 + 0.36) - 0.23
= 0.54
A store has 5 travel guide books and 9 fictions on the shelves. If two customers bought a book, find the probability that one of each book was bought.
Answer:
[tex]Probability = \frac{45}{98}[/tex]
Step-by-step explanation:
Given
Represent travel guide with T and Fictions with F
[tex]T = 5[/tex]
[tex]F = 9[/tex]
Required
Determine the probability that one of both was selected
This implies that (1 travel guide and 1 fiction) or (1 fiction and 1 travel guide)
The probability is is calculated as thus:
[tex]Probability = P(T\ n\ F)\ or\ P(F\ n\ T)[/tex]
In probability, the above formula can be translated to
[tex]Probability = P(T) *P(F)\ +\ P(F) *P(T)[/tex]
[tex]Probability = \frac{n(T)}{Total} *\frac{n(F)}{Total}\ +\ \frac{n(F)}{Total} *\frac{n(T)}{Total}[/tex]
[tex]Probability = \frac{5}{5 + 9} *\frac{9}{5 + 9} +\frac{9}{5 + 9} *\frac{5}{5 + 9}[/tex]
[tex]Probability = \frac{5}{14} *\frac{9}{14} +\frac{9}{14} *\frac{5}{14}[/tex]
[tex]Probability = \frac{45}{196} +\frac{45}{196}[/tex]
[tex]Probability = \frac{90}{196}[/tex]
[tex]Probability = \frac{45}{98}[/tex]
Craig wants to use an elevator to carry identical packages having the same weight. Each package weighs 4 pounds and Craig weighs 90 pounds. If the elevator can carry a maximum of 330 pounds at a time, which inequality shows the maximum number of packages, n, that Craig can carry with himself in the elevator if he is the only passenger?
Answer:
90+4n less than or equal to 330
Step-by-step explanation:
since craig weighs 90 pounds. he will be a constant weight
Since each package weighs 4 pounds, the variable will be 4n
The elevator can hold a maximum of 330 pounds so that is what the inequality should have on the other side
the final equation will be:
90+4n less than or equal to 330
Where would -(-3) be on a number line?
Which statement best describes the relationship between inherited traits and genes
Answer:
options please
Step-by-step explanation:
increase 120 by 5% (answer)
Answer:
what is question is this the question
Answer:
126
Step-by-step explanation:
[tex]\frac{5}{100}[/tex] × 120 = 6
120+6= 126
The table below
A
3. Circle A has been enlarged to create circle
shows the circumference of both circles.
Circumference
Circle Circumference (inches)
2
5
A
6
A
15
O
1.5
Based on the information in the table, what scale factor was used
9
A
to create circle
?
O
2.5
CLEAR ALL
Answer:
[tex]Scale\ Factor = 1.5[/tex]
Step-by-step explanation:
See attachment for proper presentation of question.
From the attachment, we have:
[tex]A = 7[/tex]
[tex]A' = 10.5[/tex]
Required
Determine the scale factor
To solve this, simply divide the circumference of A' by that of A.
This gives the scale factor used
i.e.
[tex]Scale\ Factor = \frac{A'}{A}[/tex]
Substitute values for A and A'
[tex]Scale\ Factor = \frac{10.5}{7}[/tex]
[tex]Scale\ Factor = 1.5[/tex]
Hence, the scale factor used is 1.5
Additional Note:
If the given parameters had been the area of A and A', you'll need to first solve for the radius of both circles.
Then determine the scale factor by A'/A
Simplify 6/4.
Thank tou
Answer:
2 1/2
Step-by-step explanation:
6/4=3/2=1 1/2
Answer:
6/4= 3/2
so you now divide 2 by the 3 which will give you;
1.5
5.
Write an algebraic expression for the verbal expression "five times a number minus eight.”
A 5x + 8
B 8x - 5
C 5x - 8
D 5 + X - 8
In PE class, 2 teams are formed for a game of tug of war. Team A can pull with 200 lbs. of force. Team B can pull with 160 pounds of force and has room for 1 more player. What is the minimum amount the fourth player will need to pull in order for Team B to win? *
A. x ≥ 40
B. x > 40
C. x ≥ 100
D. x > 100
PLEASE HELP FAST!!!!!!!!
Answer:
B. x more than 40
Step-by-step explanation:
If you would like to win the tug of war game, you would have to apply a more greater force to win. If Team B needed to win, over 40 lbs. of force would do.
evaluate
[tex] \frac{4}{2 {i}^{15} } [/tex]
please show work as I don't understand, thanks
Answer:
6
Step-by-step explanation:
good
ordered pairs that satisfy the equation y = -3x + 1
Answer:( 1, -2)
Step-by-step explanation: y= (-3)(1)+ 1
y=-3+1
y= -2
Point Slope Form: y+2=-7(x-4)
Slope-intercept form: ???
Will reward 100 points
Answer:
[tex] \blue{\boxed{\star \boxed{\bold{\large{7x + y = 26}}}\star}}[/tex]
Step-by-step explanation:
y + 2 = - 7 (x - 4)
y + 2 = - 7x + 28
y + 7x = 28 - 2
7x + y = 26
y = 26 - 7x ✔
What is the probability of drawing a month that has 31 days?
Answer: 5/12
Step-by-step explanation:
There are 240 students going on a field trip each school bus can hold 48 students complete the equation to show which operation to use and how many school buses are needed then complete the sentence to explain your reasoning
there are 17 boxes each box holds 42. how many packets of sweets are there in total?
Answer: 714
Step-by-step explanation:
42 • 17 = 714
divide to check if it is correct
714 ÷ 42 = 17 or 714 ÷ 17 = 42
hope it helps!
Answer:
No.of sweets in one box = 42
No.of sweets in 17 boxes = 42 x 17
= 714
Help please this is urgent☹️
What Is the result of adding these two equations
6x+2y =-2
3х – 2y = - 5
Answer:
x=3 y=-2
Step-by-step explanation:
1+6 pls help me nowwwwwww
Answer:
7
Step-by-step explanation:
Graph the line. -2x+y=4
Answer:
y=2x+4
i think that is the answer
How many miles per hour? please help i will give brainliest<3
Answer: 9mph
Step-by-step explanation: To figure this out (I'll just finish the problem for you), you have to essentially find a unit rate. Since you know the miles traveled and the time, all you have to do is divide the miles by the minutes to figure out miles per minute. In other words, how much distance is covered in one minute.
3/4 divided by 5 is 0.15. That's how many miles per minute. Now, since they're asking for miles per hour, not per minute, you'd have to multiply the rate by one hour (60 minutes).
0.15*60 = 9
So, the speed is 9 miles per hour
A movie theater charges $7.50 for adults and $4.50 for children. For a recent showing of the movie "Maleficent," the
theater sold 43 tickets and made a total of $238.50. How many children's tickets and how many adult tickets were sold?
Answer
9 and 10
Step-by-step explanation:
(1, -7) slope = -1 writing linear equations given point and slope
Answer:
The answer is
[tex] \huge y = - x - 6[/tex]
Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have
[tex]y + 7 = - 1(x - 1) \\ y + 7 = - x + 1 \\ y = - x + 1 - 7[/tex]
We have the final answer as
[tex]y = - x - 6[/tex]
Hope this helps you
HURRY PLEASE
The quadratic function f(x) crosses the x-axis at -3 and 1.
What are the solutions of f(x) = 0?
A) -3 and -1
B) -3 and 1
C) -1 and 3
D) 1 and 3
Answer:
B
Step-by-step explanation:
The solutions to a quadratic equation is whenever the graph crosses the x-axis. The solutions are also known as the roots or zeros of the quadratic.
Our quadratic crosses the x-axis at -3 and 1. So, at those two points, f(x) is 0. Namely, we have the two points (-3, 0) and (1, 0).
So, our two solutions are -3 and 1.
Hence, our answer is B.
Answer:
I think it would be B
Step-by-step explanation:
If f(x) is 0, that means the value of x would not change at all. and since its only on the x-axis and neither numbers are used for the y-axis, the solutions would most likely be -3 and 1.
⚠️⚠️⚠️⚠️NEED HELP MARKING PEOPLE AS BRAINLIST!
Answer:
I think its C
Step-by-step explanation:
Thats my guesa
need help.. The midpoint of GH is M(-6,-3). One endpoint is H (-4,4) Find the coordinates of endpoint G.
Answer:
The coordinates of G are: (-8, -10)
Step-by-step explanation:
Mid point formula:
[tex]x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}[/tex]
Where,
[tex](x,y)[/tex] are the coordinates of the mid point of the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
As per question statement, we are given that:
[tex]x_2=-4\\y_2=4[/tex]
and
[tex]x=-6\\y=-3[/tex]
To find:
[tex]x_1 = ?\\y_1 = ?[/tex]
Solution:
Let us use the mid point formula:
[tex]-6 = \dfrac{x_1-4}{2}\\\Rightarrow -12=x_1-4\\\Rightarrow x_1=-12+4\\\Rightarrow \bold{x_1=-8}[/tex]
[tex]-3 = \dfrac{y_1+4}{2}\\\Rightarrow -6=y_1+4\\\Rightarrow y_1=-6-4\\\Rightarrow \bold{y_1=-10}[/tex]
The coordinates of G are: (-8, -10)
Which of the following data sets has a range of 40?
a. {40, 10, 20, 100}
C. {40, 10, 20, 50}
b. {40, 10, 20, 80}
d. {40, 10, 20, 40}
Please select the best answer from the choices provided
A
B
С
Answer:
The second answer - 40, 10, 20, 50
Step-by-step explanation:
Range is the difference between the largest and smallest number in a data set. The biggest and smallest numbers in the data set are 50 and 10, respectively. 50 - 10 = 40.
1. Kim ran the 100-meter race in 135.46 seconds. Tyron ran faster by 15.7 seconds. What was Tyron’s time for the 100-meter dash?
2. Janna takes her medicine 3 times a day. How many days will a 60 ml medicine last if ml is taken each time?
3. May bought 23 of a kilo of meat. She cooked 12 of it. How much did she cook?
4. Arjay bought 8.75 meters of cloth for ₱813.75. Find the cost price per meter.
5. Jay will divide his P112,000 among his 3 brothers. His elder brother will receive of the amount while the remaining amount is to be equally divided among the two younger brother. How much will each of the younger brothers receive?
Answer:
119.76
8 days
0.5217
93
Step-by-step explanation:
Given that:
1)
Kim's time = 135.46 seconds
Tyron's time is 15.7s faster ;
Tyron's time = 135.46 - 15.7 = 119.76
Janna takes her medicine 3 times a day. How many days will a 60 ml medicine last if 2 1/2ml is taken each time?
(2 1/2 * 3) = 7.5 mL per day
60 mL / 7.5 = 8 days
3. May bought 23 of a kilo of meat. She cooked 12 of it. How much did she cook?
Total bought = 23 of a kilo of meat
Amount cooked = 12 /23= 0.5217 kilo
4. Arjay bought 8.75 meters of cloth for ₱813.75. Find the cost price per meter.
Cost per meter :
813.75 / 8.75 = 93 per meter
5. Jay will divide his P112,000 among his 3 brothers. His elder brother will receive of the amount while the remaining amount is to be equally divided among the two younger brother. How much will each of the younger brothers receive?
Question 5 is Incomplete
What does one equal 10+ b over 25 equal
Answer:
b is 15.
Step-by-step explanation:
Trust me on this, The answer could only be 15 when solving for b. Hopefully that helps.
The answer is 15 because that is what it is.
Help Asap! Find the measure of 3.
90°
26°
116°
64°
Answer:
90°
Step-by-step explanation:
Measure of angle 3 is,
⇒ ∠3 = 90 degree
We have to given that,
A kite is shown in image.
Since, We know that,
If two sides of triangle are equal then its corresponding angles are also equal in a triangle.
Now, By given figure, we have;
64 x 2 + x + x = 180
128 + 2x = 180
2x = 180 - 128
2x = 52
x = 26
So, We get;
Measure or angle 1 is,
∠ 1 + 64 + 26 = 180
∠1 = 180 - 90
∠1 = 90 degree
Hence, By definition of vertically opposite angle,
⇒ ∠1 = ∠3 = 90 degree
Learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ2
Please help.
Thank you in advance.
Answer:
its the last box and whisker plot
Step-by-step explanation: