Answer:
-6 and 2
Step-by-step explanation:
Teri has a bag of colored marbles. Five marbles are red, four are green, ten are blue, and one is white. Marbles are randomly selected out of the bag.
What is the probability of selecting a red marble and then a white marble without replacement?
Answer:
1/76
Step-by-step explanation:
Five marbles are red,
four are green,
ten are blue, and
one is white.
Sample space S= 5+4+10+1= 20
Probability of selecting a red Mable
Pr(red) = 5/20= 1/4
Probability of selecting a white Mable without replacement after the first selection
Pr(white) = 1/19= 1/19
the probability of selecting a red marble and then a white marble without replacement?
= 1/4*1/19= 1/76
Shota is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 30 meters below the edge of a volcano, he heard some rumbling, so he decided to climb up out of there as quickly as he could. He climbed up at a constant rate. After 4.5 seconds, he was 7.5 meters below the edge of the volcano. How fast did Shota climb? In total, how long did it take Shota to reach the edge of the volcano?
Answer:
Shota's speed = 5 m/s
In total, it take 6 seconds to reach the edge of the volcano.
Step-by-step explanation:
Given;
Total height below the edge of the volcano = 30 m
(Note that he climbed at constant rate)
After 4.5 seconds, he was 7.5 meters below the edge of the volcano.
Time = 4.5 s
Distance covered = 30 - 7.5 = 22.5 m
His speed = distance covered/time
Substituting the values;
Speed = 22.5/4.5
Speed = 5 m/s
Time needed to reach the edge;
Time = distance/speed
Speed = 5m/s
Distance = 30 m
Substituting;
Time = 30/5 = 6 seconds
Regina bought a book for $12 and a game for $14 she paid $40 how much change should Regina receive
Answer:Regina recieved $14 dollars of change
Step-by-step explanation:
12+14=26
40-26=14
The change received by Regina is $14.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Regina bought a book for price = $12
Regina bought a game for price = $14
Total amount paid by Regina = $40
The Regina should receive the change,
⇒ [tex]Change = 40-(12+14)[/tex]
⇒ [tex]Change = 40-26[/tex]
⇒ [tex]Change = 14[/tex]
Hence we can conclude that the change received by Regina is $14.
Learn more about word problems here
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The table shows the results of an experiment in which a spinner was spun 50 times. Find the experimental probability of each outcome.
Answer:
Option "A" is the correct answer to the following question.
Step-by-step explanation:
Given:
Total number of experiment = 50
Find:
Probability to get less then 4:
Computation:
⇒ Total number can be get less then 4 = 4+2+3
⇒ Total number can be get less then 4 = 9
⇒ Probability of an outcome = Total number of outcomes / Total number of experiment
⇒ Probability to get less then 4 = Total number can be get less then 4 / Total number of experiment
⇒ Probability to get less then 4 = 9 / 50
Gary needs to solve 120 problems by a certain day. He calculated, that to finish all the problems in time, he needs to solve 5 problems every day. But Gary's family is going on a trip, and for 4 days Gary will simply have no time to do math. How many problems will he need to be solving every day when he is not on a trip to still be done in time?
Answer:
To be done in time, he would need to solve 6 questions per day on the days that he is not on trip
Step-by-step explanation:
If he solves the problems 5 per day, the total number of days that would be required to finish solving the problem would be 120/5 = 24 days
Now, he has 4 free days which would be for a family trip. The number of questions that he would miss during those trip days will be 4 * 5 = 20 questions
Now since he wants to still finish on time, what is needed to be done is to share the 20 left overs amongst the 20 days which he has to work
This makes a total of 1 question per day
Adding this to the 5 questions per day he has before will be = 6 questions per day
Answer:
6 problems
Step-by-step explanation:
select two values of x that are roots of this equation (picture included)
x^2+2x-5=0
Answer:
B and D
Step-by-step explanation:
i took this test
The roots of the equation will be - 1 - √6 and - 1 + √6. Then the correct options are B and D.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The quadratic equation is given below.
x² + 2x - 5 = 0
The solution of the quadratic equation will be
x² + 2x - 5 = 0
Add 1 on both sides, then the equation will be
x² + 2x + 1 - 5 = 1
x² + 2x + 1 = 1 + 5
(x + 1)² = 6
Taking square root on both sides, then the equation will be
x + 1 = ±√6
x = - 1 ±√6
Then the roots of the equation will be - 1 - √6 and - 1 + √6.
Then the correct options are B and D.
More about the solution of the equation link is given below.
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Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+ 72t+ 100 (where t is time in seconds and h is height in feet) How long will it take the coin to reach the stream?
Answer:
It will take 5.61 seconds for the coin to reach the stream.
Step-by-step explanation:
The height of the coin, after t seconds, is given by the following equation:
[tex]h(t) = -16t^{2} + 72t + 100[/tex]
How long will it take the coin to reach the stream?
The stream is the ground level.
So the coin reaches the stream when h(t) = 0.
[tex]h(t) = -16t^{2} + 72t + 100[/tex]
[tex]-16t^{2} + 72t + 100 = 0[/tex]
Multiplying by (-1)
[tex]16t^{2} - 72t - 100 = 0[/tex]
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
In this question:
[tex]16t^{2} - 72t - 100 = 0[/tex]
So
[tex]a = 16, b = -72, c = -100[/tex]
[tex]\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584[/tex]
[tex]t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61[/tex]
[tex]t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11[/tex]
Time is a positive measure, so we take the positive value.
It will take 5.61 seconds for the coin to reach the stream.
11(4t + 1) whats the answer
Answer:
44t + 11
Step-by-step explanation:
[tex]11(4t + 1) \\ = 11 \times 4t + 11 \times 1 \\ = 44t + 11 \\ [/tex]
Answer:
the answer is attached to the picture
slove the x in the digram below explain
Answer:
x= 20
Step-by-step explanation:
a flat angle is, in terms of geometry, the space between an intersection between two lines whose opening measures 180 degrees or 180º. Since the angle is 180º there is no difference between two lines or a line and we can say that the angles in a straight line always add up to 180º.
Step 1
define
according to the graph
3x+80+2x=flat angle=180°
3x+80+2x=180°
Step 2
solve for x
3x+80+2x=180°
5x+80=180
subtract 80 in each side
5x+80-80=180-80
5x=100
divide by 5
(5x)/5=100/5
x=20
happy to help:)
At a restaurant, 40% of customers order tacos and 60% order fajitas. Of the customers that order tacos, 50% order a chicken tacos. Of the customers that order fajitas, 30% order chicken fajitas. What is the percentage of customers that order a chicken dinner (either chicken tacos or chicken fajitas)?
Answer:
38% order a chicken dinner
Step-by-step explanation:
40% order tacos. 50% of 40% order chicken tacos. 50% of 40% = 0.5 * 0.4 = 0.2 = 20% order chicken tacos.
60% order fajitas. 30% of 60% order chicken fajitas. 30% of 60% = 0.3 * 0.6 = 0.18 = 18% order chicken fajitas.
20% + 18% = 38% order a chicken dinner.
Anwar selects a playing card at random from the following 666 cards:
\{{left brace 999 of hearts, 555 of spades, 666 of hearts, 222 of spades, 444 of hearts, 777 of hearts\}}right brace
Let AAA be the event that Anwar selects an even-numbered card and BBB be the event that she chooses a heart.
Which of the following statements are true?
Answer:
We have 6 cards.
9 of hearts
5 of spades
6 of hearts
2 of spades
4 of hearts
7 of hearts.
A is the event where Anwar selects an even numbered card.
B is the event where she choses a heart.
we have 3 even cards (and two of them are hearts)
we have 4 hearts (2 of them are even)
The probability of event A is Pa = 3/6 = 1/2
the probability of event B is = Pb = 4/6 = 2/3
The probability of event A and Event B is the number of heart cards with even numbers, that are 2 divided the total number of cards:
Paandb = 2/6 = 1/3
the probabilty of A if we know that B is true:
P(AIB) = 2/4 = 1/2 (this is because we have 4 hearts, and we know that 2 of those 4 cards are even)
the probability of B if we know that A is true:
P(BIA) = 2/3 (this is because we have 3 even cards, and 2 of them are hearts)
Answer:
A,B,C,E
Step-by-step explanation:
Khan.
TRUST ME!!!!!!!!!!!! THIS IS RIGHT!!!!!!!
Need help pls have no idea how to this
Answer:
The local minimum point of f(x) is at the point (-2,-2)
Step-by-step explanation:
the minimum point is located on the very bottom of the parabola!
so its cut off but its (-2,-2)
sorry I didnt see the 6,-2
so I am gussing the y-value is the minimum point so it should be -2....tell me if I am wrong but if your looking for a points it (-2,-2) if your looking for the value it would be -2
pls mark me brainliest
[8 + (24 x 3)] divided by 7
Use PEMDAS &’ show work .
Answer:
11.43
Step-by-step explanation:
[8 + (24 x 3)] divided by 7
[8 + (72)] divided by 7
80/7
11.42857142857143
11.43 (I rounded it)
Answer:
11.42
My explanation:
P( )
E *
M x
D /
A +
S -
the first step is to multiply 24x3 because parenthesses go first
the second step is that get the 72 form multiplying and add 8 to it becasue its inside the lines
third step is to divide by 7 and then you get 11.42
Feel free to ask for more help :)
Donna took twice as long to drive 720 miles and Maple took to drive 200 miles. Find the rates and ties of both if Donna's speed exceeded that of Maple by 40 miles per hour
Answer:
Donna traveled for 8 hours at 90 mph
Maple traveled for 4 hours at 50 mph
Step-by-step explanation:
The velocity at which each person traveled is given by the distance traveled divided by the time spent (t). From the information given, the following expressions can be written
[tex]t_d = 2t_m\\V_d = V_m+40\\V_d = \frac{720}{t_d}\\V_m = \frac{200}{t_m}\\\\V_d = \frac{360}{t_m}\\ \frac{360}{t_m}=\frac{200}{t_m}+40\\t_m = 4\ hours\\t_d=2*4 = 8\ hours\\\\V_d = \frac{720}{8}=90\ mph\\V_m = \frac{200}{4}=50\ mph\\[/tex]
Therefore, Donna traveled for 8 hours at 90 mph and Maple traveled for 4 hours at 50 mph.
It takes two men six hours to paint a fence. How long would it take three men to paint the same fence?
Answer:
Step-by-step explanation:
If 2 men take 6 hrs to paint the fence, then
3 men would obviously take less time to paint the same fence;
2 men= 6 hrs
3 men= ?
thus, the time taken by three men to paint the same fence=2/3 ×6 hrs
= 4 hrs
A collar of Styrofoam is made to insulate a pipe. Find it's volume. That large R is to the outer rim. The smaller r us to the edge of the insulation. Use pi=3.14
Answer:
the volume of the pipe is 649.98 cubic inches.
Step-by-step explanation:
We have been given that a collar of Styrofoam is made to insulate a pipe. We are asked to find the volume of the given pipe.
We will use volume of hollow cylinder formula to solve our given problem.
[tex]\text{Volume of hollow cylinder}=\pi R^2h-\pi r^2h[/tex]
where,
R = Radius of external cylinder,
r = Radius of internal cylinder.
h = Height of cylinder.
substituting our given values in above formula, we will get:
[tex]\text{Volume of hollow cylinder}=\pi (5\text{ in})^2(\text{23 in})-\pi (4\text{ in})^2(\text{23 in})\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 ((5\text{ in})^2-(4\text{ in})^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (25\text{ in}^2-16\text{ in}^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (9\text{ in}^2)\text{Volume of hollow cylinder}=649.98\text{ in}^3[/tex]
Therefore, the volume of the pipe is 649.98 cubic inches.
Can someone please help with these 4 questions?
Answer:
Q4. 2144 Q5. -16 Q6. Downwards Q7. 0 seconds
Step-by-step explanation:
Q4. h(t) = -16t² + 2400 Substitute 4 for t
h(4) = -16(4)² + 2400 Simplify the exponent
h(4) = -16(16) + 2400 Multiply
h(4) = -256 + 2400 Add
h(4) = 2144
Q5. I graphed the equation on the graph below to find the instantaneous velocity. The instantaneous velocity is -16.
Q6. At 4.5 seconds, the water rocket is traveling down because the highest point the rocket goes is at 2.8, so 4.5 is traveling downwards.
Q7. 0 seconds because the rocket goes 0 feet in 0 seconds.
If these answers are correct, please make me Brainliest!
WILL CHOOSE BRAINLIEST! PLEASE HELP! 15 POINTS!
Find the area of the shaded segment of the circle.
Answer:
The shaded segment = The arc area - The triangle
The arc area = pi x radius^2 x angle/360
= pi x 9^2 x (360-270)/360 = 63.61 (m2)
The triangle area = 9 x 9/2 = 41.5 (m2)
(because this is right triangle)
=> The shaded segment = 63.61 - 41.5 = 22.11 (m2)
What does Keaton spend the most money on?
Keaton's Monthly Spending
What does Keaton spend the least money on?
Food
Keaton spends about as much money on rent as he
does on
Rent
Clothes
Hygiene Products
Entertainment
Answer:FOOD, HYGIENE, ENTERTAINMENT
Step-by-step explanation:
The answer is:
foodHygiene ProductsEntertainmentWhat is Data?Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study. Data scientists help in analyzing the collected data through data mining.
According to the given information
a)Keaton spend the most money on Food.
b) Keaton spend the least money on Hygiene Products.
c) Keaton spends about as much money on rent as he does on Entertainment.
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The product of two rational numbers is -28/81. If one of them is -2/3, then find the other.
PLEASE HELP....NEED TO SUBMIT IT NOW......
Answer:
14/27
Step-by-step explanation:
Let x be the unknown number
-2/3 * x = -28/81
Multiply each side by -3/2
-3/2*-2/3 * x = -28/81 * -3/2
x = 28/2 * 3/81
x =14*1/27
x = 14/27
Answer:
14/27
Step-by-step explanation:
Let x be the other number
x × -2/3 = -28/81
x = -28/81 × -3/2
x = 14/27
Seventeen more than the product of a number and -3 is less than -29 plz answer
Answer:
-3x + 17 < -29
Step-by-step explanation:
1. The cost to rent a movie is $3 for 1 day,
$4 for 2 days, and $5 for 3 days. Describe
the relationship between the cost and the
number of days.
2. Kenji plants 8 seeds in 1 row of his garden,
16 seeds in 2 rows, and 24 seeds in 3 rows.
Describe the relationship between the
number of rows and the number of seeds.
Answer:
i dont really know
Step-by-step explanation:
The price goes up by 1 for every 1 day. 2 times the amount as seeds per day.
8 x 2 = 16 8 x 3 = 24.
x² + 6x +8=0
In factoring algorithm
Answer:
(x+2)(x+4)
Step-by-step explanation:
Answer:
( x + 2 ) ( x + 4 )
Step-by-step explanation:
Find the parallelogram.
Answer:
area - 120 cm
Step-by-step explanation:
Answer:
A = 120 cm^2
P = 54 cm
Step-by-step explanation:
Area of parallelogram: = base * height
A = 15 cm * 8 cm = 120 cm^2
Perimeter of parallelogram = sum of lengths of sides
P = 15 cm + 15 cm + 12 cm + 12 cm = 54 cm
b) Write 25 x 10° in standard form.
Answer:
2.5x10^1
Step-by-step explanation:
When the first number goes down, add one to the 10's power
Answer:
2.5x10∧1
Step-by-step explanation:
Find the surface area and volume of the triangular prism. Remember to show your work on scratch paper.
10 cm
6 cm
5 cm
8 cm
Answer:
27cm
Step-by-step explanation:
so you are dumb for not nowing it
What is the slope-intercept form of an equation of a line perpendicular to y=2x−3 and passing through the point (5,−1)?
Answer:
y=-2x+9
Step-by-step explanation:
1. Make m value opposite of og m value.
2. Then plug in variables x and y into the equation
3. Solve for b
-1 = -2(5) + b
9 = b
4. You have the answer
John is digging a rectangular hole. The area of the rectangle is 8 square feet. John digs 4 feet down into the ground. What is the volume of John's hole in cubic feet?
Answer:
32 cubic feet
Step-by-step explanation:
To know the volume of a figure we have to calculate the area of its "base" and then multiply it by its height.
In this case we have a rectangular hole that has an area of 8 square feet.
As we said before:
Volume = Area x height.
If we substitute the value of the area of the rectangle and the height (or depth in this case) we would get:
Volume = 8 x 4 = 32 cubic feet.
Thus, the volume of John's hole is 32 cubic feet.
Answer:
32 cubic feet
Step-by-step explanation:
The volume of a rectangular prism is given by;
Length*width*Height
or, Area*height
Height = 4 feet
Area= 8 square feet
Conversion to Cubic feet is given by;
(cubic feet) = (square feet) × (height in feet)
Therefore,
Cubic feet = 8 square feet*4 feet
= 32 cubic feet.
PLSSS HELP!! WILL GIVE BRAINLIEST!
Answer:
Although it's blurry, I believe y is equal to 3.
Step-by-step explanation:
You can see where x (the horizontal line) = 7, then go up to where the diagonal line meets that point, which is at y (the vertical line) = 3.
Answer:
y = [tex]2 \frac{11}{12}[/tex] gallonsStep-by-step explanation:
The water run at a constant speed with the slope of 5/12.
Slope-intercept form would be y = 5/12x.
So if we were to plug it in the equation,
y = 5/12 (7) = 35/12 or 2 11/12.
Hope this helps ;D
What is a intersection
Answer:
Intersection means a line common to other lines and an action of intersection/intersecting.
hope it helps!
