Answer:
5/29
Step-by-step explanation:
This is a compound event.
Compound events are found by multiplying the probabilities of both events.
So we need to multiply the probability of chooseing a red marble and rolling an even number.
10 red
8 green
5 blue
6 white
Total marbles = 29
P(red marble) = 10/29
A die/number cube has 6 sides. Each has a probability of 1/6.
1
2
3
4
5
6
There are 3 even numbers here. The probability of an even number is:
P(even) = 3/6 = 1/2
Now we need to find the probability of both events occurring. So multiply both probabilities and you will get the answer:
10/29 x 1/2 = 5/29
The probability of choosing a red marble and rolling an even number is 5/29.
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Write the equation of the circle graphed below.
Answer:
The equation of the circle is [tex]{ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 = \frac{ 25 }{ 4 } }[/tex].
Step-by-step explanation:
This is the general standard equation for the circle centered at (h, k) with radius r.
[tex](x-h)^2+(y-k)^2=r^2[/tex]
From the graph we know that the center, the red point, is (1, 2) and the circle pass through the point (2.5, 4) the blue point.
To find the standard equation of the circle you must:
Step 1: Find circle radius.
To find a radius of a circle we will compute the distance between points [tex]C=(1, 2)[/tex] and [tex]P=(2.5, 4)={ \left( \frac{ 5 }{ 2 } , 4 \right) }[/tex]. The distance can be computed by using formula:
[tex]r = \sqrt{ \left(C_x - P_x\right)^2 + \left(C_y - P_y\right)^2 }\\\\r = \sqrt{ \left(1 - \frac{5}{2} )^2 + \left(2 - 4)^2 }[/tex]
[tex]r=\sqrt{\frac{3^2}{2^2}+2^2}=\sqrt{\frac{9}{4}+4}=\sqrt{\frac{25}{4}}=\frac{5}{2}[/tex]
Step 2: Substitute the values of the radius and the center into the general standard equation for the circle.
[tex]\begin{aligned} \left(x - 1 \right)^2 + \left(y - 2 \right)^2 &= \left(\frac{ 5 }{ 2 }\right)^2 \\ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 &= \frac{ 25 }{ 4 } \end{aligned}[/tex]
Karina bought 8 bagels and used a gift certificate for $4. Her total cost is represented by the expression 8b - 4, where b is the cost of a bagel. What is an equivalent expression?
Answer:
An equivalent expression = 8b + (-4)
Step-by-step explanation:
In Mathematics, numbers exhibit or are guided by certain properties that they can show.
Some of those of properties are :
a) Commutative property where:
a + b = b + a
b) Associative property
a+( b + c) = (a + b) + c
c) Additive inverse property
a - b = a + ( - b)
For the question above, we are told that the total cost of what Karen bough is represented by the expression 8b - 4. We are asked find the equivalent expression.
An equivalent expression is defined as an expression that has the exact value for all the values obtained from the variable.
Hence, using the Additive inverse property
a - b = a + ( - b)
The equivalent expression for 8b - 4 = 8b + ( -4)
convert 1.8kg to grams
Answer: multiply the mass value by 1000
Real Answer: 1800
Answer:
1800
Step-by-step explanation:
Find the sum of (x + 4) and (3x + 2) *
Answer:
4x+6
Step-by-step explanation:
(x+4)+(3x+2)
=x+4+3x+2
=4x+6
Need help plssssss fast hurry plsss
Answer:
50 ft2
Step-by-step explanation:
im not sure if this is right but this is what i got when i worked it out
Answer: [tex]150ft^2[/tex]
Step-by-step explanation:
length: [tex]7\frac{1}{2}in[/tex] Convert to an improper fraction. [tex]\frac{7*2+1}{2}=\frac{15}{2}[/tex]
width: [tex]5 in[/tex]
[tex]Formula: A=w*l[/tex]
[tex]A=(5in)(\frac{15}{2}in)\\A=\frac{75}{2}in^2[/tex]
Convert to ft. I assume your conversion factor is [tex]\frac{1}{2}in. : 1ft[/tex]. However, the unit we need is squared. Square both sides.
[tex](\frac{1}{2}in.)^2 : (1ft)^2[/tex]
[tex]\frac{1}{4}in^2 : 1ft^2[/tex]
Convert.
[tex]\frac{75}{2}in^2(\frac{1ft^2}{\frac{1}{4}in^2 } )=[/tex]
Invert the fraction in the denominator and multiply it by the numerator.
[tex]\frac{75}{2}in^2*1ft^2*4in^-^2=75*2ft^2=150ft^2[/tex]
what is the answer to 22% of 49.6?
Answer:
10.912
Step-by-step explanation:
0.22*49.6=10.912
Answer:
the answer is 225.45
Step-by-step explanation:
49.6 ÷ 22% =
49.6 ÷ (22 ÷ 100) =
(100 × 49.6) ÷ 22 =
4,960 ÷ 22 ≈
225.454545454545 ≈
225.45
if suresh made a deposit of AED 2700 on the first day of the tear and same amount again after every 4 months at the end of the year how much money will he get if the interest is compounded quarterly and the rate of interest is 7.5% per annum
Answer:
48.048
Step-by-step explanation:
multiply 77 time 0.60 since 60%in decimal form is 0.60. you then get the answer of that(46.2) and mutiply 0.04 since that the decimal form for 4%. you get 1.848 and add it to 46.2 and get the final answer 48.048. Hope this helped you
Solve the following equation using any method of your choosing: 6x² +24x = 0
Answer:
x = 0 or x = -4
Step-by-step explanation:
Solve: 6x² +24x = 0
First you can factor this binomial.
6x² +24x = 6x (x + 4) = 0
so x = 0 or x + 4 = 0
x = 0 or x = -4
Please help!
What is 5.2¯ expressed as a fraction in simplest form?
275
389
265
479
Answer:
Step-by-step explanation:
389
Answer. 3/89
Step-by-step explanation:
HEY FREN
Allen has a 18-Foot ladder. If he sets it to make a 70 degree angle with the ground, how high will it reach? Round decimal to the nearest hundredth.
Answer:
20.5 feet
Step-by-step explanation:
The sum of the two shorter sides of a triangle must be equal to the longest side to be classified as a triangle
Answer:
False
Step-by-step explanation:
For example if you follow the pythagoras theorem a triangle has sides of 3,4 and 5
but when you add 3 and 4 they do not give you 5
so that is false
Write and solve the following problem
Please do it step by step!
4(x-9)-2x=-3x+14
sorry for the stupid answer my b
Answer:
X=-50
Step-by-step explanation:
4(x-9)-2x=3x+14
4x-36-2x=3x+14
2x-36=3x+14
-x-36=14
-x=50
-x divided by 50 makes the x postive & the 50 negative
I request assistance.
Answer:
just google it dude
Step-by-step explanation:
google :)
Which is the simplified form of m Superscript negative 8 p Superscript 0?
StartFraction 1 Over m Superscript 8 Baseline p EndFraction
StartFraction 1 Over m Superscript 8 EndFraction
StartFraction p over m Superscript 8 EndFraction
m Superscript 8
i think it is C
Step-by-step explanation:
Answer:
1 or D
Step-by-step explanation:
0.7(1.5+ y) = 3.5y - 1.47
Solve
Answer:
y = .9
Step-by-step explanation:
0.7(1.5+ y) = 3.5y - 1.47
Distribute
1.05 +.7y = 3.5y -1.47
Subtract .7y from each side
1.05 +.7y.-.7y = 3.5y-.7y -1.47
1.05 =2.8y -1.47
Add 1.47 to each side
1.05+1.47 = 2.8y
2.52 = 2.8y
Divide by 2.8
2.52/2.8 = y
.9 = y
Answer:
y = 0.9
C, the third one
Step-by-step explanation:
Examine this multistep equation with variables on both sides.
0.7(1.5 + y) = 3.5y - 1.47
Which of the following is the solution to this equation?
y = 0.09
y = 0.17
y = 0.9
y = 1.7
Which expressions have a value of 15 when
S = 15
what are the answer choices?
The expression S/3 + 10 has the value of 15 when S = 15. Then the correct option is A.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Let's check all the options, then we have
A. S/3 + 10
If S = 15, then we have
⇒ 15 / 3 + 10
⇒ 5 + 10
⇒ 15
B. S/2 + 10
If S = 15, then we have
⇒ 15 / 2 + 10
⇒ 10 + 10
⇒ 20
C. S + 10
If S = 15, then we have
⇒ 15 + 10
⇒ 15 + 10
⇒ 25
D. - S/3 + 10
If S = 15, then we have
⇒ -15 / 3 + 10
⇒ -5 + 10
⇒ 5
The expression S/3 + 10 has the value of 15 when S = 15. Then the correct option is A.
More about the value of the expression link is given below.
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The missing options are given below.
A. S/3 + 10
B. S/2 + 10
C. S + 10
D. - S/3 + 10
in a group of students the ratio of the number of students who liked music and sport is 9:7. out of which 25 liked both the activities, 20 liked music only and 15 liked none of the activities .
i)find the total number of students in group
Answer:
Hello,
Total number : 70
Step-by-step explanation:
20 + 25 = 45
45 liked music
X liked sport only
X + 25 liked sport
45 / 9 = (X + 25) / 7 ⇔ 7 x 5 = X + 25 ⇔ X = 35 - 25 ⇔ X = 10
10 liked sport only
Total students in group : 45 + 10 + 15 = 70
In a group of students the ratio of the number of students who liked music and sport is 9:7. out of which 25 liked both the activities, 20 liked music only and 15 liked none of the activities. 70 is the total number of students in group.
What is mathematical ratio?
An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion constitutes a equation that sets two ratios at the same value.
Ratios contrast two figures by typically dividing them. A/B would be your formula if you were evaluating one data point (A) to another data point (B). This indicates that you are multiplying information A by information B. For instance, your ratio are going to be 5/10 if A is 5 and B is 10.
20 + 25 = 45
45 liked music
X liked sport only
X + 25 liked sport
45 / 9 = (X + 25) / 7 ⇔ 7 x 5 = X + 25 ⇔ X = 35 - 25 ⇔ X = 10
10 liked sport only
Total students=45 + 10 + 15 = 70
Therefore, 70 is the total number of students in group.
To know more about mathematical ratio, here:
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A hot metal plate at 150°C has been placed in air at room temperature. Which event would most likely take place over the
next few minutes?
Molecules in both the metal and the surrounding air will start moving at lower speeds.
Molecules in both the metal and the surrounding air will start moving at higher speeds.
The air molecules that are surrounding the metal will slow down, and the molecules in the metal will speed up
The air molecules that are surrounding the metal will speed up, and the molecules in the metal will slow down
Answer:
Molecules in both the metal and the surrounding air will start moving at lower speeds?
Step-by-step explanation:
I'm not sure this is the right answer, because i thought that the air and the metal would be in equilibrium.
So sorry if this is wrong, chemistry isn't my strongest subject.
Answer:
The air molecules that are surrounding the metal will speed up, and the molecules in the metal will slow down.
Step-by-step explanation:
There are 125 sheep and 5 dogs in a flock how old is the shepherd?
Answer:
25 years old
hope this helps
~savannah:))
If there are 125 sheep and 5 dogs in a flock then the shepherd is 25 years old.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given,
The number of sheeps are 125
One hundred twenty five
The number of dogs are 5
Five.
We need to find how old is the shepherd
To find this we just need to divide one hundred twenty five by five
125/5
25
Hence, if there are 125 sheep and 5 dogs in a flock then the shepherd is 25 years old.
To learn more on Division click:
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Please answer as soon as you see this it’s urgent
Answer:
m∠DEH= 128.6°
Step-by-step explanation:
∠GHJ and ∠DEH are both congruent to each other because lines DF and GI are both parallel to each other.
This means, if m∠GHJ is 128.6°, m∠DEH is also 128.6°.
Answer:
128.6
Step-by-step explanation:
GHJ= DEH
adjasent angle
Name a career in which one would have to use the Pythagorean Theorem. Give an example of when, where, and how it would be used.
FULL EXPLANATION NEEDED
Answer:
Engineers use the Pythagorean Theorem to figure out measurements of objects.
Find the magnitude of a particle's acceleration vector at t = 0 for a particle moving with position vector [tex]r(t)-(cos(t),t^3)[/tex]
1
0
2
3
Thank you
Answer:
1
Step-by-step explanation:
r(t) = (cos t, t³)
Take first derivative to find velocity:
v(t) = dr/dt
v(t) = (-sin t, 3t²)
Take derivative again to find acceleration:
a(t) = dv/dt
a(t) = (-cos t, 6t)
At t=0, the acceleration's magnitude is:
a(0) = (-1, 0)
|a(0)| = √((-1)² + 0²)
|a(0)| = 1
Seven less than four times a number, x, is 37.
What is a possible solution of x?
The equation for the given phrase is 4x-7=37 and the solution for the obtained equation is 11.
The given unknown number is x.
Seven less than four times a number, x is
4x-7
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
So, the equation is
4x-7=37
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Now, the solution is
4x=37+7
4x=44
x=44/4
x=11
Therefore, the equation for the given phrase is 4x-7=37 and the solution for the obtained equation is 11.
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A recipe includes 6 cups of flour and three fourths 3/4 cup of buttermilkbuttermilk. Write the ratio of the amount of flour to the amount of buttermilkbuttermilk as a fraction in simplest form
Answer:
6/0.75, 24/3
Step-by-step explanation:
times 0.75 by 1,2,3 until it is a whole number
times the same number to the top of the fraction
The ratio of flour to buttermilk is 8:1.
What is ratio?The relationship between two groups or amounts that expresses how much bigger one is than the other.
Given that, A recipe includes 6 cups of flour and three fourths 3/4 cup of buttermilk
Flour = 6 cups
Buttermilk = 3/4
Ratio = 6:3/4 = 8:1
Hence, The ratio of flour to buttermilk is 8:1.
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Graph the function.
h(x) = -1/5x^2+2x
Answer:
Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated
Step-by-step explanation:
please help will mark brainlist
Answer:
Step-by-step explanation:
8/17
Answer:
8/17
Step-by-step explanation:
cos = adjacent/hypotenuse
cos X = 8/17
Write the fact family that
can be made from these
digits.
5 6 11
Answer:
5+6=11
11-6=5
11-5=6
Step-by-step explanation:
6x2+40=31x factorise the quadratic equation
Answer:
Step-by-step explanation:
6x² + 40 = 31x
6x² - 31x + 40 = 0
6x² - 16x - 15x + (-5)*(-8) = 0
2x(3x - 8) - 5(3x -8) = 0
(3x - 8) (2x - 5) = 0
Please help me I’m about to cry
Answer:
LKH and JKM
Step-by-step explanation:
Aye, if you're gonna cry bro, take a break. This stuff means nothing in like 2 or 3 years. Trust me :)
Answer: it is angle LKH and angle JKM
Step-by-step explanation:
Verticals angles are angles that are opposite to each other and have the same degree measure. Since line JL is parallel to line GI, then MF is the transversal, creating some vertical angles. I’m not sure how else to explain it but you can connect the letters (in order) of the different angles to figure out what angles they are, and then find ones that are opposite angles. I hope this helped!
simplify the following expression 2(x+16)+3(2x+5)
Answer:
8x+47
Step-by-step explanation:
First, distribute. Then, solve! Done! ^_^
Hope I helped, have an awesome day! :D
