Given:
A bag containing the numbers 2,4,6,8,10,12.
To find:
The probability of selecting two numbers less than 10.
Solution:
We have,
Total numbers = 6
Numbers less than 10 are 2,4,6,8.
Numbers less than 10 = 4
Probability of getting a number less than 10 is:
[tex]P(\text{Less than 10})=\dfrac{\text{Numbers less than 10}}{\text{Total numbers}}[/tex]
[tex]P(\text{Less than 10})=\dfrac{4}{6}[/tex]
[tex]P(\text{Less than 10})=\dfrac{2}{3}[/tex]
We select the second number with replacement. So, the probability of second draw is same as the probability for first draw.
Probability of selecting two numbers less than 10 is:
[tex]\text{Required probability}=P(\text{Less than 10})\times P(\text{Less than 10})[/tex]
[tex]\text{Required probability}=\dfrac{2}{3}\times \dfrac{2}{3}[/tex]
[tex]\text{Required probability}=\dfrac{4}{9}[/tex]
Therefore, the probability of selecting two numbers less than 10 is [tex]\dfrac{4}{9}[/tex].
seven less than the quotient of nineteen and 2
Answer:
19x2-7
mark me brainliestt :))
x^2 + y^2 =-6x-14-6y
Answer:
x=−3+√(−y−1)(y+5)
Step-by-step explanation:
thats if your solving for x if not to math w l ay
HELP ASAP!! Click the picture to make it bigger
:)
thanks
Answer:
the answer is C.
Step-by-step explanation:
Carry a book bag: Female is 57
A prism with a square base has a volume of 96 ft3. The height of the unit is 6 feet.
A prism has a length of l, width of 2, and height of 6 feet.
Given what you know about the figure, complete these sentences.
The area of the square base is
feet2.
The length of the prism is
feet.
The width of the prism is
feet
Answer:
Its 16 4 4
Step-by-step explanation:
if we got the same question then this should be correct :)
Help please anyone ?!
Answer:
.62
Step-by-step explanation:
first move the decimal 3 places to make it a whole number and now we have 4960, now we divide 4960 by 8 giving us 620, now we move the decimal 3 places back and it gives us the decimal .62.
HELP ME PLEASE WHAT IS
What is 2/5 divided by 3/4 IT CAN NOT BE A DECIMAL
Answer: 2/5, if it cannot be a decimal it is a fraction, same goes for 3/4!!
Step-by-step explanation:
pls pls pls help me I will give brainlist pls
Choose Yes if the capital letters are used correctly.
Choose No if capital letters are used incorrectly.
Who will win the election for President in november?
Group of answer choices
Yes
No
Timmy Johnson used to be a police officer. Now he is working for the company Bellsouth.
Group of answer choices
no
yes
John anounced on monday that he wants to be the new mayor of Dallas. He will have to campaign hard because the mayor we have now has been in office for many years.
Group of answer choices
yes
no
My father said he would vote for Tom. I believe the only reason that he said this is because Tom is his brother. He really isn't qualified to be the mayor.
Group of answer choices
no
yes
My family went on a long hike on the appalachian trail. We thought we would be finished in s couple of hours, however my sister sprained her ankle and we had to take it slow.
Group of answer choices
yes
no
There will be a voting booth set up at Northside elementary.
Group of answer choices
yes
no
Every Spring they put out new flower seeds so the Park is beautiful.
Group of answer choices
no
yes
I hope our new mayor will do something about all the trash on the sides of the roadways. When I am traveling down Main Street, I am in shock at what I see. I just wish people would care more about this and would help to keep our roads clean of trash!
Group of answer choices
no
yes
The River is full of chemicals that are very harmful.
Group of answer choices
yes
no
I'm glad our drinking water doesn't come from the Raven River. Some people say that this river is the dirtiest river east of the Mississippi.
Group of answer choices
yes
no
In later Summer, the sunflowers are gorgeous.
Group of answer choices
yes
no
After examining our dog, the Veterinarian said, "He looks healthy and strong to me." I grabbed spot and gave him a mighty hug. my mom was happy too. We thought for sure he was going to have to stay overnight.
Group of answer choices
yes
no
"Watch out!" yelled Monica.
Group of answer choices
no
yes
"When are we leaving?" Joe asked. Mom replied, "As soon as we can load up the car, Joe."
Group of answer choices
yes
no
Kyle practiced his pitching all Winter. He wanted to make the team with his best friend, Tom.
Group of answer choices
no
yes
Answer:
NoyesyesyesNo.yesNoyesNo.yesNoNoYesYesNoThese are the answers according to serials.
HELP DUE IN 15 MINS!
x = ??
Answer:
x = 7Step-by-step explanation:
Intersecting secants theorem:
8*(8 + 10) = 9*(9 + x)9x + 81 = 1449x = 63x = 7A math teacher noticed that 70% of seventh graders completed an extra credit assignment. About how many of 130 seventh graders would complete the extra credit assignment?
Answer:
91 students
Step-by-step explanation:
130 x 70% =91
Answer:
91 students
Step-by-step explanation:
so we are looking for 70% of 130
so we do the following:
130*.70
91 students
(1 point) Find ⋅ if =⟨−1,0,1⟩ and =⟨4,5,2⟩ Is the angle between the vectors "acute", "obtuse" or "right"?
Answer:
Obtuse.
Step-by-step explanation:
If we have a vector v = (a, b, c)
The magnitude of the vector is:
|v| = √(a^2 + b^2 + c^2)
And the dot product of two vectors:
v = (a, b, c)
w = (c, d, e)
is:
v.w = |v|*|w|*cos(θ) = a*c + b*d + c*e
With that relation, we can find the angle between the two vectors.
In this case, we have:
v = ⟨−1,0,1⟩
then:
|v| = √( (-1)^2 + 0^2 + 1^2) = √2
And:
w = ⟨4,5,2⟩
then:
|w| = √( 4^2 + 5^2 +2^2) = √116
Then:
v.w = (√2)*(√116)*cos(θ) = (-1)*(4) + 0*5 + 1*2
(√2)*(√116)*cos(θ) = -4 + 2 = -2
(15.23)*cos(θ) = -2
cos(θ) = -2/15.23
θ = Acos( -2/15.23) = 97.5°
Then the angle is larger than 90°, so the angle is obtuse.
12t^2-25t+12=0 Solve the equation for all real solutions.
Answer:
t=4/3 or 3/4
Step-by-step explanation:
12t^2-25t+12=0
(3t-4)(4t-3)=0
3t-4=0 or 4t-3=0
t=4/3 or t=3/4
A bookstore costs $75 a day to keep open, and spends $10 for each book it
sells. The store charges $15 for each book it sells. If n represents the number
of books sold, which equation represents the revenue function for this
bookstore?
A. r= 15n
B. r= 25n
C. r= 10n
D. r= 75n
Answer: A. r= 15n
Step-by-step explanation: took the quiz.
The solution is, The cost function of this bookstore is 10n + 75.
What is cost function?A cost function is a formula used to predict the cost that will be experienced at a certain activity level.
here, we have,
According to the given problem,
Cost to open bookstore for a day - $75
Price for selling each book = 10
Considering number of books to be n,
Total cost for selling each book = $(10×n)
Therefore total cost price = $( 10n + 75)
Hence, we can conclude that the total cost function of this bookstore is represented by equation 10n + 75
Learn more about cost function here:
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A circular ring has a circumference of 264 cm. What is the diameter of the ring
Answer:
84.03380995252074
Step-by-step explanation:
Diameter = C/π = 264 / π ≈ 264 / 3.141592653589793 ≈ 84.03380995252074 cm
can someone please pls help me
I will give brainlest please help
The center of the circle would be (5,-8)
This is because you inverse the sign within the equation for the x/y coordinate part of it. Therefore, for this question:
(x-5)^2+(y+8)^2 = 121
The center would be (5,-8), since there is (x-5) and (y+8).
The radius of the circle would be 11
This is because within the equation for the circle, the finishing number is the radius squared. This means that if you square root this finishing number, you would get the radius. So with this question:
(x-5)^2+(y+8)^2 = 121
By doing √121, you would get 11 as the radius.
Which of these are the constant?
4y+1+9x
Answer:
1 is the constant
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the hundredths place.
Answer:
d
Step-by-step explanation:
If alex is visiting her moms house and eats a pizza that has 6 triangular pieces, how long would it take for alex’s mom to reach the moon?
Answer:
MY GuYYYY wHat Is ThIS qUeSTioN?!?!?
Step-by-step explanation: I think the answer is green btw
how can you find the area of a composite figure
in how many ways can 4 books be arranged on a shelf if there are 8 books to choose from?
Answer:
1680 ways
Step-by-step explanation:
By using the formula for permutation, which is nPr=n!/(n-r)!,
8P4=8!/(8-4)!
=8!/4!
=8×7×6×5
=1680
Or if you just want to use the multiplication rule (which is simpler).
8×7×6×5=1680
Answer:
im pretty sure its
1680
Step-by-step explanation:
find a
polynomial P(x) of 2nd degree if P(1)=0
P (2) 3
P(-3)=0
Given:
P(x) is a 2nd degree polynomial.
[tex]P(1)=0,\ P(2)=3,\ P(-3)=0[/tex]
To find:
The polynomial P(x).
Solution:
If P(x) is a polynomial and P(c)=0, then c is a zero of the polynomial and (x-c) is a factor of polynomial P(x).
We have, [tex]P(1)=0,\ P(-3)=0[/tex]. It means 1 and -3 are two zeros of the polynomial P(x) and (x-1) and (x+3) are two factors of the polynomial P(x).
So, the required polynomial is defined as:
[tex]P(x)=a(x-1)(x+3)[/tex] ...(i)
Where, a is a constant.
We have, [tex]P(2)=3[/tex]. So, substituting [tex]x=2,\ P(x)=3[/tex] in (i), we get
[tex]3=a(2-1)(2+3)[/tex]
[tex]3=a(1)(5)[/tex]
[tex]3=5a[/tex]
[tex]\dfrac{3}{5}=a[/tex]
Putting [tex]a=\dfrac{3}{5}[/tex] in (i), we get
[tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex]
Therefore, the required polynomial is [tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex].
can someone please help
question: An airplane is flying at an elevation of 1500 feet. What is the airplane's angle of elevation from the runway when it is 5000 feet from the runway?
Answer:
Angle of elevation of the airplane = 17.46 degrees
Step-by-step explanation:
From the picture attached,
An airplane is flying at an altitude of 1500 ft at point A.
Runway starts from point B from which distance of the airplane is 5000 ft.
Now we apply sine rule in the given triangle ABC to measure the angle θ.
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sinθ = [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{1500}{5000}[/tex]
[tex]\theta=\text{sin}^{-1}(\frac{3}{10})[/tex]
[tex]\theta=17.46[/tex] degrees
Can someone explain step by step?
Sally makes $580 a week and her weekly salary is taxed 20%. How much is her weekly take home salary?
Answer:
464 dollars.
Step-by-step explanation:
Step-by-step explanation:
20/100x580
11600/100
=116
therefore, 580-116 equal 464
Sally take home salary will be $464
Which graphs are functions ( select all that apply
Answer:
The second and third option are both functions!!
Glad to help!!
Step-by-step explanation:
456 + 788 - 129 x 9 = ?
Also wanna converse? Lol
[tex]456+788-129\cdot \:9\\\\129\cdot \:9=1161\\\\456+788=1244\\\\1244-1161=83\\\\=83[/tex]
Anyone I need help whit this question
Answer: 94.3 meters
Step-by-step explanation:
equivalent fractions, please help
The answer is 7/10. I hope this helps you, have a good day!
Answer:
Step-by-step explanation:
49/70 = 7/10
The diameter of a circle is 8 cm. Find its circumference in terms of \piπ.
Here is your answer ^^
----------------------------------
C≈25.13cm
Explanation:
C=2πr
d=2r
Solving for C:
C=πd=π·8≈25.13274cm
-------------------------------------
Anyways bye! <3
Refer to OP for Exercises 1-8. If SN and MT are diameters with m/ SPT 51 and m/ NPR 29, determine whether each arc is a minor arc, a major arc, or a semicircle. Then find the degree measure of each arc.
1. MNR
3. mTSR
2. MST
4. mMST
If MT= 15, find the length of each arc. Round to the nearest tenth.
5. NR
7. TSR
6. ST
8. MST
M
N
R
Geometry
Step-by-step explanation:
the answer is a
Samantha saves at least 10% of the money she earns each month. She earns $120 each month for a year. Which inequality describes the total amount Samantha saves?
Step-by-step explanation:
10 % each month is $12.00 12 months in a year 12 x 12.00 = $144.00
The inequality to describe the total amount Samantha saves is s > 15.
The correct option is (A).
What is Inequality?Inequalities are mathematical formulas in which neither side is equal. We compare two values in inequality.
As per the given data:
We are given that Samantha saves at least 10% of her monthly salary.
Samantha is earning $150 each month for a year.
To find the amount Samantha at least saves in a month:
= 10% of her monthly salary
= 10% × 150
= 10/100 × 150
= 15 dollars
As she is saving, at least 15 dollars, then the inequality to describe her savings is as follows:
savings > 15
The inequality to describe the total amount Samantha saves is s > 15.
Hence, The inequality to describe the total amount Samantha saves is
s > 15.
Learn more about Inequality here:
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(The given question is incomplete, the complete question is given below)