Answer:
11/35
Step-by-step explanation:
Please choose brainliest
Manuela and Stephen survey 250 people at a sporting event and ask if they prefer hamburgers or hot dogs, and if they prefer regular or diet soda.
Regular Soda Diet Soda Total
Hamburgers 90 40 130
Hot Dogs 70 50 120
Total 160 90 250
a. What is the probability that someone who prefers diet soda will also prefer hamburgers?
b. What is the probability that someone who prefers hot dogs will also prefer regular soda?
c. Are preferring diet soda and preferring hamburgers independent events? Explain.
d. Are preferring regular soda and preferring hot dogs independent events? Explain.
Answer:
a. 40/250
b. 70/250
c. Preferring diet soda and preferring hamburgers are not independent events
d. Preferring regular soda and preferring hot dogs are not independent events
Step-by-step explanation:
We are given:
Regular Soda Diet Soda Total
Hamburgers 90 40 130
Hot Dogs 70 50 120
Total 160 90 250
a. The probability that someone who prefers diet soda will also prefer hamburgers can be calculated as:
No. of people who prefer hamburgers and diet soda / Total no. of people
40/250
b. The probability that someone who prefers hot dogs will also prefer regular soda can be calculated as:
No. of people who prefer hot dogs and regular soda/Total no. of people
70/250
c. For two events to be independent, they must fulfill the condition:
P(A and B) = P(A) * P(B)
P(Diet Soda) = No. of people who prefer diet soda/total no. of people
= 90/250
P(Hamburgers) = No. of people who prefer hamburgers/total no. of people
= 130/250
P(Diet Soda and Hamburgers) = 40/250
Now, we need to check:
P(Diet Soda and Hamburgers) = P(Diet Soda) * P(Hamburgers)
40/250 = 90/250 * 130/250
40/250 ≠ 11700/62500
So, we can conclude that these two events are not independent events.
d. P(Regular Soda) = No. of people who prefer regular soda/total no. of people
= 160/250
P(Hot dogs) = No. of people who prefer hot dogs/total no. of people
= 120/250
P(Regular Soda and Hot Dogs) = 70/250
Now, we need to check if:
P(Regular Soda and Hot Dogs) = P(Regular Soda) * P(Hot dogs)
70/250 ≠ 160/250 * 120/250
So, these two events are not independent.
The solutions obtained are Part (a): The probability is 0.444, Part (b): The probability is 0.583, Part (c): Preferring diet soda and preferring hamburgers are not independent and Part (d): Preferring regular soda and preferring hot dogs are not independent.
Probability and Independence Analysis
Let's analyze the data provided from Manuela and Stephen's survey:
Regular Soda Diet Soda Total
Hamburgers 90 40 130
Hot Dogs 70 50 120
Total 160 90 250
→ Part A: Probability that Someone Who Prefers Diet Soda Also Prefers Hamburgers
The number of people who prefer diet soda is 90, and among them, 40 prefer hamburgers. Therefore, the probability is calculated as follows:
P(Hamburgers|Diet Soda) = 40 / 90
≈ 0.444
→ Part B: Probability that Someone Who Prefers Hot Dogs Also Prefers Regular Soda
The number of people who prefer hot dogs is 120, and among them, 70 prefer regular soda. Therefore, the probability is:
P(Regular Soda|Hot Dogs) = 70 / 120
≈ 0.583
→ Part C: Independence of Preferring Diet Soda and Preferring Hamburgers
To determine if these events are independent, we check if:
P(Diet Soda AND Hamburgers) = P(Diet Soda) * P(Hamburgers)
Calculations:
→ P(Diet Soda AND Hamburgers) = 40 / 250
→ P(Diet Soda) = 90 / 250
→ P(Hamburgers) = 130 / 250
→ P(Diet Soda AND Hamburgers) ≠ P(Diet Soda) * P(Hamburgers)
Since the equality does not hold, these events are not independent.
Part D: Independence of Preferring Regular Soda and Preferring Hot Dogs
We test the same independence condition for regular soda and hot dogs:
→ P(Regular Soda AND Hot Dogs) = P(Regular Soda) * P(Hot Dogs)
Calculations:
→ P(Regular Soda AND Hot Dogs) = 70 / 250
→ P(Regular Soda) = 160 / 250
→ P(Hot Dogs) = 120 / 250
→ P(Regular Soda AND Hot Dogs) ≠ P(Regular Soda) * P(Hot Dogs)
Therefore, these events are also not independent.
A new golf bag has a compartment that is roughly a rectangular prism that has dimensions of 6 inches by 8 inches by 9 inches. How many golf balls will
fit in the compartment if a golf ball has a diameter of 1.7 inches? (Reminder: You can assume that for random packing space 190% of the volume of the
sphere is needed to pack the spheres and Volume of Sphere = 4/3 pim3)
21 balls
88 balls
63 balls
57 balls
To find the number of golf balls that can fit in the compartment, we calculate the volume of the compartment and then divide by the volume required to pack a golf ball. We can fit around 88 golf balls in the bag.
Explanation:We first need to find the volume of the rectangular prism. The volume of a rectangular prism can be found by multiplying the length, width, and height. So, volume = 6 * 8 * 9 = 432 cubic inches.
Next, we can find the volume of a golf ball which is a sphere using the formula 4/3 * π * r³ where r is the radius of the sphere. The diameter of the golf ball is given as 1.7 inches, which means the radius is 1.7/2 = 0.85 inches. So, the volume of the golf ball = 4/3 * π * (0.85)^3 = 2.57 cubic inches (approx).
As per the question, in a random packing of spheres, 190% of the volume of the sphere is needed. Therefore, the required volume for each ball = 2.57 * 190/100 = 4.87 cubic inches. The total number of balls that will fit = volume of rectangle/volume of each ball = 432/4.87 = 88 (rounded down to a whole number). So, the answer is 88 balls.
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What is the midpoint of segment JK shown in the graph
Answer:
b. 1/2, -1/2
Step-by-step explanation:
[tex]\frac{-4+5}{2}, \frac{2+(-3)}{2} =(\frac{1}{2} ,\frac{-1}{2}[/tex] )
What is the value of the discriminant for the quadratic equation 0 = x + 2 + x^2?
Discriminant = b^2— Час
Answer:
The discriminant of the quadratic equation is -7.
Step-by-step explanation:
We are given the following quadratic equation in the question:
[tex]x^2+x+2 = 0[/tex]
Comparing to general quadratic equation:
[tex]ax^2+bx+c = 0\\a = 1\\b = 1\\c = 2[/tex]
We have to find the discriminant of the quadratic equation.
Formula:
[tex]d = b^2-4ac[/tex]
Putting values, we get,
[tex]d = (1)^2 - 4(1)(2) = 1 - 8 = -7[/tex]
Thus, the discriminant of the quadratic equation is -7.
What is the definition of area of a kite
Answer:
The diagonal * the other diagonal, all divided by two.
Step-by-step explanation:
A kite in other words is a rhombus. To find the area of a rhombus we need to multiply 1/2 * p * q
Where p is one diagonal and q is the other.
Step-by-step explanation:
[tex] \sf \:a = \dfrac{pq}{2}[/tex]
The area of a kite is half the product of the lengths of its diagonals.
BRAINLIST pls Answer
Juanita shares 4 pounds of kibble equally in 3 dog bowls. How many pounds of kibble are in each bowl?
Answer:
1 1/3 pound (1 pound and 1/3)
Step-by-step explanation:
u just but it in a fraction
4/3
and simplify to mixed number
1 1/3
Answer:
4/3 = 1.33
Step-by-step explanation:
Since you will be dividing the amount of kibble, the equation is 4 pounds / 3 bowls. 3/4 would be dividing the bowls and that would make no sense at all. Therefore the answer is 1.33 pounds per bowl.
A smaller rectangle is inside of a larger rectangle. The smaller rectangle has sides lengths of 9 x and 6 x. The distance to the larger rectangle on all sides is x. The space between the smaller rectangle and the larger rectangle is shaded.
The figure shows two rectangles. Which expression represents the area of the shaded region?
16x2
34x2
54x2
88x2
Answer:
im sorry if this is late but the answer is 34x2. goodluck :D
Step-by-step explanation:
I took the test
34x² represents the area of the shaded region. Option b is correct.
Two concurrent rectangle are given dimension of smaller rectangle is 9x and 6x. larger rectangle has offset of x with smaller rectangle. So the dimension of the larger rectangle is 9x+2x and 6x+2x . space between the rectangle is shaded and area of the shaded portion to be determine.
What is rectangle?rectangle is four sided polygon whose opposites sides are equal and has angle of 90° between its sides.
Now the area of the shaded portion,
= area of larger rectangle - area of smaller rectangle
= 11x*8x - 9x*6x
= 88x - 54x
= 34x
Thus, 34x² represents the area of the shaded region.
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What is the circumference of a circle with a diameter of 8 feet?Use 3.14 for π.
Answer:
c=25.12
Step-by-step explanation:
C=πd
C=3.14*8
C=25.12
Answer:
25.12ft
Step-by-step explanation:
take 8 and times that by 3.14, and you get:
25.12
Simplify the expression. 18a + 12x − 12a + 15x A) 6a + 27x B) 6a − 3x C) 30a − 18x D) −30 −3x
Answer:
18a + 12x - 12a + 15x
6a + 27x
the answer is a
Step-by-step explanation:
If a pair of standard dice are rolled, what is the probability that the sum will be less than 5?
The answer is [tex]1/?[/tex] I just need the denominator
Answer:
Probability= No. of favorable outcomes/ total no. of outcomes
= 4/6 Since below 5 will be 4
and we need to simplify= 2/3
Step-by-step explanation:
Answer: the answer is 1/6
Step-by-step explanation:
PLEASE ANSWER TO BE NAMED BRAINLIEST GET A THANK YOU AND A FRIEND REQUEST AND 10 P
If x = time, and y = the number of problems in the set, which equation models the relationship?
Question 3 options:
y = 12x
y = x + 12
y = 1.2x
y = x + 1.2
Answer:
C, y = 1.2x
Step-by-step explanation:
Notice that x, representing time, is multiplied by 1.2 each time to get y, representing the number of problems. You can find this out by dividing y by x. 36/30 = 1.2.
48/40 = 1.2.
And so on...
P.S.: If you ever come across a problem like this, subtract one y value by another y value, then subtract the corresponding x values from eachother, then make both numbers into one fraction with y as the numerator and x as the denominator. In this problem, that would look like this:
48 and 36 are both y values: 48 - 36 = 12
40 and 30 are the corresponding x values: 40 - 30 = 10
We get 12/10, which can be simplified to 1.2. The slope is 1.2.
This method will always work for a straight line and will be taught to you soon if you haven't learned it already.
4. Wanda lives in the same state as Reese (ex 4 p 313). Her weekly unemployment
compensation is $360. What were the total 26-week earnings for her highest two consecutive
quarters of employment?
Final answer:
To find the total earnings for Wanda's highest two consecutive quarters of employment, multiply her weekly unemployment compensation by the number of weeks in two quarters.
Explanation:
To find the total earnings for Wanda's highest two consecutive quarters of employment, we need to compare the given state and weekly unemployment compensation with the table provided. According to the table, the maximum weekly unemployment compensation for Oregon is $330. Since Wanda's weekly compensation is $360, it means that her state is Oregon. Now, we can find the total earnings for her highest two consecutive quarters by multiplying her weekly compensation by the number of weeks in two quarters (26 weeks).
$360 times 26 (*) = $9360
Therefore, the total 26-week earnings for Wanda's highest two consecutive quarters of employment is $9360.
2 points
A college baseball team won 5
games for every 3 games they lost.
They played 64 games this year. How
many games did they win? *
A 15 games
B 40 games
O
C 25 games
OD 30 games
Answer:
B) 40 games won
Step-by-step explanation:
5+3=8
64 /8 = 8
8×5 = 40 games one
Which is an example of phototropism?
A.roots of seedling growing away from light.
B.tendrils of plant attaching to a nearby stem
C.roots of seedling growing down toward the pull of gravity.
D.stems and leaves of plant growing up away from the pull of gravity
Answer:
i think it is A
Step-by-step explanation:
sorry if i am wrong...hope this helped, also can i have brainliest pls?
Answer:
I believe the answer is A
Step-by-step explanation:
(True or False) The Long Division symbol is the same as the Radical (Root) symbol?
Answer:
false
Step-by-step explanation:
Answer:
FALSE
Step-by-step explanation:
the radical root symbol and long division symbol look different, and have different purposes. radical root symbol - √. the long division has so less angles.
3. Your expenses that change month to month are called?
Answer:
Variable expenses
Step-by-step explanation:
There are 4 types of expenses
-Variable Expenses: Expenses that vary from month to month.
-Fixed Expenses: Expenses that remain the same from month to month.
-Intermittent Expenses: Expenses that occur at various times throughout the year and tend to be in large amounts.
Discretionary Expenses: Expenses for things we don't need
Please help What are the coordinates of -2 , -3 of you move 6 units to the right
Answer:
(4,-3)
Step-by-step explanation:
Answer:
(4,-3)
Step-by-step explanation:
Moving 6 units to the right would only affect the x coordinate. Sinceinc we are moving to the right, there is a positive increase in the x coordinate.
-2+6=4
So our new point is (4,-3)
the coat of a customers smartphone bill can be modeled by the equation C=10g+50 where g is the number of gigabits of data the customer per month.Factor this cost polynomial
Answer:
[tex]C=10(g+5)[/tex]
Step-by-step explanation:
Given the cost of a customers smartphone bill,
C=10g+50
We are required to factor the polynomial.
First, determine the G.C.D of both terms
The GCD of 10g and 50 is 10Next, we divide each of the term by 10 and balance it by multiplying the expression by 10.
[tex]C=10g+50\\=10(\frac{10g}{10}+\frac{50}{10})\\C=10(g+5)[/tex]
The cost polynomial factored is C=10(g+5).
Answer:
10g+60=10(g+6)
Step-by-step explanation:
thats the answer
What is 150% of 3? Round to the nearest hundredth (if necessary).
Answer:
4.5
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
150% = 1.5
so 150% of 3 = 1.5 × 3 = 4.5
Someone please give me the answers...And thank you
Answer:
Step-by-step explanation:
1) 4x + 3 <= 3x - 5
Subtract 3 from both sides
4x + 3-3 <= 3x - 5 -3
4x <= 3x - 8
Subtract 3x form both sides
4x - 3x <= 3x -3x - 8
x <= -8
Answer:
CHALLENGE ACCEPTED!!
Step-by-step explanation:
4x + 3 ≤ 3x - 5
4x - 3x ≤ -5 -3
x ≤ -8
sorry, cant draw the number line but hope the solution helps.
-2x > 6
-2x ÷ -2 > 6 ÷- 2
x > -3
1/8(3x - 16) < 4
3/8x - 2 < 4
3/8x < 4 + 2
3/8x < 6
x = 16
x - 3/2 ≥ -5
x - 3 ≥ -5 × 2
x - 3 ≥ -10
x ≥ -10 + 3
x ≥ 7
9. ten times the minutes spent exercising? this is algebra you have to write it in expression
Answer:
Ten times the minutes spent exercising is 10t.
Step-by-step explanation:
Given : Expression 'ten times the minutes spent exercising'.
To find : Write the expression in algebraic form ?
Solution :
Let t represent the number of minutes spent exercising.
Here, "ten times the minutes spent exercising "
Ten time means multiplying value by 10,
So the algebraic expression is '10t'.
Therefore, ten times the minutes spent exercising is 10t.
A 9-pound bag of potatoes costs $4.14. What is the unit price per pound? 2 points
$0.46
$2.17
$0.046
O
$0.22
Answer:
Step-by-step explanation:
Unit price = Total price
number of items
= 4.14/9
= $0.46
Really need help on this problem
Answer:
7
Step-by-step explanation:
Answer:
7kg
Step-by-step explanation:
An 6-sided die is rolled four times. What is the probability of rolling a six on all four rolls?
Answer:
4/6
Step-by-step explanation:
What is the coefficient of the variable in the expression 6 − 4x − 8 + 2?
a. 6
b. 2
c. −4
d. −8
Answer:
-4
Step-by-step explanation:
Use the net to find the surface area of the square pyramid.
A) 152 in2
B) 264 in2
C) 336 in2
D) 448 in2
Answer:
b
Step-by-step explanation:
Answer:
C) 336 in2
Step-by-step explanation:
336 in 2
Area of base → 82 = 64
Area of each triangle →
1
2
· 8 · 17 → 68
64 + 68 + 68 + 68 + 68 = 336 in2
Which is the solution to the inequality?
2 and three-fifths less-than b minus StartFraction 8 over 15 EndFraction
b less-than 2 and StartFraction 1 over 15 EndFraction
b greater-than 2 and StartFraction 1 over 15 EndFraction
b less-than 3 and StartFraction 2 over 15 EndFraction
b greater-than 3 and StartFraction 2 over 15 EndFraction
Mark this and return
Answer:
[tex]b>3\frac{2}{15}[/tex]
Step-by-step explanation:
You can multiply by 15, add 8, divide by 15. (Or, you could get there directly by adding 8/15 to both sides.)
[tex]2\frac{3}{5}<b-\frac{8}{15}\\\\39<15b-8\\\\47<15b\\\\\boxed{3\frac{2}{15}<b}[/tex]
Answer:
D; b > 3 2/15
Step-by-step explanation:
find the gcf and lcm of 20 and 12
Answer:
GCF: 4 LCM:60
Step-by-step explanation:
Answer:
gcf-6, lcm-60
Step-by-step explanation:
factors of 20: 1, 2, 4, 5, 10, 20
factors of 12: 1, 2, 3, 4, 6, 12
multiples of 20: 20, 40, 60, 80, 100
multiples of 12: 12, 24, 36, 48, 60, 72
Graph m > −5 on a number line.
Graphing an inequality involves drawing a number line, marking the critical value, here -5, with an open circle because it's not included in the solution, and indicate with an arrow every number greater than -5, as these are the solutions to the inequality.
Explanation:To graph m > -5 on a number line, you first need to draw a straight line, representing the number line. Mark -5 on the line. Since the inequality is 'greater than' (-5), you will have an open circle at -5. The open circle indicates that -5 is not included in the solution. The solutions for the inequality are all values to the right of -5, so you would draw an arrow pointing towards the right from the open circle. This demonstrates that all numbers greater than -5 are the solution to the inequality.
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Find the area of figure above. Use 3.14 for pi.
Answer:
139.26990817 m² is the exact answer.
10*10=100
5²*pi + 100= 139.26990817
Hope this helped!! :)