Answer:
what is P(A), the probability that the first student is a boy? 3/5
what is P(B), the probability that the second student is a girl? 3/4
what is P(A and B), the probability that the first student is a boy and the second student is a girl? 1/2
No, évents A and B are not independent events
Step-by-step explanation:
The probability that the first student is a girl P(A)= 3/4.
The probability that the second student is a girl P(B)= 3/4.
The probability that the first student is a girl and the second student is a girl P(A and B)=9/16.
Given that there are three girls (Sandra, Marta, Jane) and one boy (Franklin), and the sample space of possible outcomes is:
{SA, SM, SJ, SF, MA, MS, MJ, MF, JA, JS, JM, JF, FA, FS, FM, FJ}
P(A): Probability that the first student is a girl (Sandra, Marta, or Jane).
Number of favorable outcomes where the first student is a girl: 3 (Sandra, Marta, Jane)
Total outcomes: 4 (total number of students)
P(A) = Number of favorable outcomes / Total outcomes = 3 / 4
P(B):
Probability that the second student is a girl (Sandra, Marta, or Jane).
Number of favorable outcomes where the second student is a girl: 3 (Sandra, Marta, Jane)
Total outcomes: 4 (total number of students)
P(B) = Number of favorable outcomes / Total outcomes = 3 / 4
P(A and B):
Probability that the first student is a girl and the second student is a girl.
Number of favorable outcomes where both students are girls: 3 (Sandra, Marta, Jane)
Total outcomes: 4 (total number of students)
P(A and B) = P(A).P(B)
= 3/4 × 3/4
=9/16
Hence, P(A)=3/4
P(B)=3/4
P(A and B)=9/16
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what is the solution of y = 2/3x + 23/3?
I don't get what I'm doing wrong,does anybody know this?The diameter of a great circle is 24 inched find the total surface area of the hemisphere don't forget to include the base in the total area.
since it's diameter is 24, its radius must be 12.
[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12 \end{cases}\implies SA=4\pi (12)^2\implies SA=576\pi[/tex]
now, that's for a sphere, for a hemisphere with the same radius it'd just be half that or 288π, now let's add the area of the circular base.
[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{hemisphere}{288\pi} ~~ + ~~\stackrel{circular~base}{\pi (12)^2}}\implies 288\pi ~~ + ~~144\pi \implies 432\pi[/tex]
The total surface area of the hemisphere is 288π. The area that include both surface area of hemisphere and the base of the total area is 432π.
What is hemisphere?
A hemisphere is "half the part of sphere".
According to the question,
The diameter of greater circle is 24 this implies radius of circle is 12.
Surface area of sphere = 4πr²
= 4×π × (12)²
= 576π.
Surface area of sphere is 576π
Surface area of Hemisphere is half of the surface area of sphere.
(576π)/2 = 288π
In order to include the base in the total area only if add surface area of hemisphere and area of circle.
surface area of hemisphere + rea of circle = 288π + π(r)²
= 288π + π(12)²
= 288π + 144π
= 432π
Hence, the total surface area of the hemisphere is 288π. The area that include both surface area of hemisphere and the base of the total area is 432π.
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(6ƒ² − 9ƒ + 10) − (− 2ƒ² − ƒ+3)
Answer:
Step-by-step explanation:
6f^2 - 9f + 10 + 2f^2 + f - 3
8f^2 - 8f + 7
PLEASE HELP!!
Oakdale Farms grew two different varieties of tomatoes last summer. When
the tomatoes were fully grown, they took a sample of each variety and
compared their weights.
Answer:
D
Step-by-step explanation:
it's because of simple logic
Choose the function that represents the data in the table.
х
0
-3
1
-1
2
5
3
15
4
29
5
47
y
Oy - 3
0 y= 2* – 3
O y = 2x - 3
O y = 2x2 – 3
Answer:
Option (D): f(x) = 2x^2 – 3
Step-by-step explanation:
Math.
The function that represents the data in the table is y=2x²-3
What is a function?A relation is a function if it has only One y-value for each x-value.
Let us check the function of the given data by plugging any ordered pair in the given functions
Let us take a point (1, -1) to check each function
(a) y=x/2-3
-1= 1/2-3
-1=-5/2
So y=x/2-3 is not the function
(b) y=2ˣ-3
-1=2-3
-1=-1
Now let us check for other point
5=4-3
5=1
This function is not satisfied for all points
(c) y=2x-3
-1=-1
For point (2, 5)
5=-1
This function is not satisfied for all points
(d) y=2x²-3
-1=2-3
-1=-1
Now 5=8-3
5=5
Hence, the function that represents the data in the table is y=2x²-3
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If 35 boxes equals to 21 dollars in total, how much does each box cost?
please help show work
Answer:
236854Step-by-step explanation:
Relation between sugar and flour
18 teaspoons of sugar per 3 cups of flourRate : 18/3 = 6 teaspoons of sugar per cup of flourTable
[tex]\left[\begin{array}{ccc}sugar(tsp)&flour(cups)\\12&2\\18&3\\36&6\\48&8\\54&9\end{array}\right][/tex]
Answer:
Step-by-step explanation:
Remark
The key to this question is the second entry. Numerically the sugar is divided by 6 to get the flour. Never mind the units. Just deal with the ratio itself.
Formula
Flour = Sugar / 6
Solution
Sugar = 12
Flour = 12/6 = 2
Flour = 18/6
Flour = 3
Flour = 6
6 = sugar/6 multiply by 6
6*6 = 6* sugar/6
36 = sugar
Sugar = 48
Flour = 48/6 = 8 cups of flower
Flour = 9
9 = sugar / 6
9*6 = sugar
Sugar = 54.
Which of the following conditions must be met in order to make a statistical inference about a population based on a
sample if the sample does not come from a normally distributed population?
.A cylindrical tank full of water has a
diameter of 10 feet and a height of 14 feet.
If 250 cubic feet is drained from the tank,
how much water remains?
Answer:
849
Step-by-step explanation:
please help picture below
Answer:
720
Step-by-step explanation:
height is 22
right triangle sides are
5 12 and 13
Answer:
B) 720 cm²
Explanation:
Area of triangular prism = Base × Height + Length × (perimeter of base)
Here given:
Base: 12 cmHeight: 5 cmLength: 22 cmPerimeter of Base: (5 + 12 + 13) = 30 cm=======================================
Solve for area: 12 × 5 + 22 × (30) = 720 cm²
3 to the third power minus 4 to the second power
Answer:
3^3-4^2=11
Step-by-step explanation:
3^3=27
4^2=16
27-16=11
help please
Based on a your normal distribution curve, 68% of a sample pack of M&M's would have
at LEAST how many orange M&M's out of a pack of 56 total M&M's
Based on your normal distribution curve, 68% of the sample pack of M&M's will have 38 orange M&M's
Data obtained from the questionTotal pack = 56Percentage = 68%Amount of M&M's =?How to determine the amount of M&M'sThe amount of M&M's that will be obtained from the pack of 56 can be obtained as follow:
Amount = percentage × total
Amount of M&M's = 68% × 56
Amount of M&M's = 0.68 × 56
Amount of M&M's = 38
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What is the area of the polygon in square units?
A four-quadrant graph with an irregular polygon with vertices at negative four comma eight, five comma eight, five comma two, nine comma two, twelve comma negative six, and negative four comma negative six.
The area of the Area of the polygon is known to be 9 units². Find more about polygon below
What is the Area of a Polygon?The area of a polygon is one that is defined as the measurement of the given area that is known to be covered by it.
Note that to calculate the area, it will be
Area = 1/2 (5 + 1) x 3 = 9 units²
Thus the answer of 9 units is correct.
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You can help me please ?
Answer:
B = 48
Step-by-step explanation:
8 x 6 = 48
hope this helps!
Evaluate f(-2): f(x)=3/2x-4
Answer:
f(- 2) = - 7
Step-by-step explanation:
substitute x = - 2 into f(x)
f(- 2) = [tex]\frac{3}{2}[/tex] × - 2 - 4 = - 3 - 4 = - 7
Please help with this as soon as possible. Assignment due tomorrow!!
help need to pass class and iready
Answer:
[tex]\Large\boxed{\sf{y > 32}}[/tex]Step-by-step explanation:
To get the final answer, isolate the variable y on one side of the equation.
1/4y≥8First, multiply by 4 from both sides.
[tex]\Longrightarrow: \sf{4*\dfrac{1}{4}y\geq 8*4 }[/tex]
Solve.
8*4=32
[tex]\boxed{\sf{y\geq 32}}[/tex]
Therefore, the correct answer is D.I hope this helps, let me know if you have any questions.
distance between points (-4,4) and (4,-2)
Answer:
10 units
Step-by-step explanation:
calculate the distance using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 4, 4 ) and (x₂, y₂ ) = (4, - 2 )
d = [tex]\sqrt{(4-(-4))^2+(-2-4)^2}[/tex]
= [tex]\sqrt{(4+4)^2+(-6)^2}[/tex]
= [tex]\sqrt{8^2+36}[/tex]
= [tex]\sqrt{64+36}[/tex]
= [tex]\sqrt{100}[/tex]
= 10
Evaluate the expression when y=4.
y² + 6y +8
Answer:
48
Step-by-step explanation:
substitute y = 4 into the expression
y² + 6y + 8
= 4² + 6(4) + 8
= 16 + 24 + 8
= 48
Question 3 of 10
The minimum monthly payment for Janet's credit card is 2% of her balance or
$10, whichever is higher. If Janet's balance at the end of her last billing cycle
was $760, what is her minimum monthly payment?
A. $10.00
O B. $5.20
C. $25.20
OD. $15.20
Find the value of x. Round your answer to the nearest tenth
Answer:
Your answer would be 24 but then if you round it to the nearest tenth the you would have 20
Step-by-step explanation:
i hope this helps
HEy does anyone go to Purchase line High school in Pennsylvania? And is in 8th grade
please only answer if you are, please
A ball is thrown through the air, following a parabola: y= -x^2 + 4x + 4.
The land slopes upward: y = 0.5x + 2
1. Using the graph what is a solution to the system of equations?
( , )
2. What does the solution represent in this scenario?
a The point the ball reaches maximum height.
b The point where the ball meets the ground.
c The point where the ball is thrown.
The slope of the line that passes through the points [6,9[ and [11,2] is
Answer:
-7/5
Step-by-step explanation:
m = slope = (y1-y2) / (x1-x2) = 7/-5 = - 7/5
80 men construct a building in 10 months. How many men will construct a the same building in 8 months? Share with steps
Answer:
64 men
Step-by-step explanation:
80 men / 10 months = 8 men per month, so in 8 months, 64 men can construct the same building.
Drag the tiles to the correct boxes to complete the pairs.
Match each division expression to its quotient.
16 divided by (-8). -2 2/5 divided by 4/5. 33/7 divided by 1 1/7. -12.2 divided by (-6.1)
Answer:
check explanation for answer
Step-by-step explanation:
16 ÷ -8 = -2
- 2 \frac{2}{5} ÷ \frac{4}{5} = -3
3 \frac{3}{7} ÷ \frac{1}{7} = 3
-12.2 ÷ -6.1 = 2
What is the AREA of the figure below?
Answer: 12
Step-by-step explanation:
height x width
3 x 4 = 12
Can someone help me please
Answer:
∠A≅∠Y AB≅YZ
∠B≅∠Z AC≅YX
∠C≅∠X BC≅ZX
ΔABC≅ΔYXZ
Step-by-step explanation:
congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle
Which set only contains numbers that make the inequality true? x + 19 < 28 {10, 11, 12, 13} {10, 11, 12, 13} {3, 4, 5, 6} {3, 4, 5, 6} {12, 13, 14, 15} {12, 13, 14, 15} {7, 8, 9, 10}
{3, 4, 5, 6}
Step-by-step explanation:Inequalities represent the value of a variable by comparing them to other values.
Inequality Signs
Before answering the question, make sure you understand the different inequality signs.
< - This sign represents less than. This means that the value on the left is less than the value on the right.> - This sign represents greater than. This means that the value on the left is greater than the value on the right.< - This sign means less than or equal to. So, the value on the left will be less than or the same as the value on the right.> - This sign means greater than or equal to. So, the value on the left will be greater than or the same as the value on the right.Solving the Inequality
To make this question easier to answer, we can solve the inequality. Solving an inequality involves isolating the variable.
To do this subtract 19 from both sidesx < 9Finding the Set
Now that we solved the inequality we can look for the correct set of numbers. Since we solved the inequality, we know that all of the correct values should be less than 9. However, because there was no equal to sign, 9 is not included in the set. The only set that has only correct solutions is {3, 4, 5, 6}.
A circle has a radius of 16 m. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
16 m
Answer:
C=100.53 CM²
Step-by-step explanation:
Formula to the circumference of a circle is 2π·r
2π=6.28
6.28·16=100.53 CM²