We want to get the probability of selecting an orange, putting it back, then selecting a block that is not orange.
We will see that the probability is P = 0.1799
In the bag we have:
6 yellow blocks4 orange blocks2 green blocks5 blue blocks.For a total of 6 + 4 + 2 + 5 = 17 blocks.
First we want to find the probability of getting an orange block, as all the blocks have the same probability of being randomly drawn, the probability of randomly drawing an orange block is equal to the quotient between the number of orange blocks and the total number of blocks.
We get:
p = 4/17
Now we put the orange block back and we want to take a block that is not orange, the probability is computed in the same way:
q = (6 + 2 + 5)/17 = 13/17
The joint probability (this is, the probability of these two events happening together) is just the product of the individual probabilities.
We get:
P = p*q = (4/17)*(13/17) = 52/289 = 0.1799
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Please Help, im stuck
Answer:
[tex]6^{9} * 6^{-3}[/tex]
can someone pls help me with number 5 pls show your work so i can understand thanks
Step-by-step explanation:
Let's represent Aaron's age with x and
Charlene's age with x+8
x+x+8=44
2x+8=44
2x=44-8
2x=36
x=36÷2
x=18
Aaron is 18 years old.
While Charlene is 18+8=26 years old.
Hope this helps!
The rectangular frame is made from 5 straight pieces of metal.
6 m
8 m
The weight of the metal is 1.5 kg per metre.
Work out the total weight of the metal in the frame.
Step-by-step explanation:
the perimeter = 2×(8+6)
= 2(14) = 28m
the diagonal = √8²+6²
= √64+36
=√100 = 10m
the total length of the frame =
28+10 = 38 m
therefore the total Weight =
38× 1.5 kg = 57 kg
The correct answer is 57kg.
the perimeter = 2×(8+6)
= 2(14) = 28m
the diagonal = √8²+6²
= √64+36
100 = 10m
the total length of the frame =
28+10 = 38 m
therefore the total Weight =
38× 1.5 kg = 57 kg
What is the weight formula?The weight of an object is defined as the force of gravity on the object and may be calculated as the mass times the acceleration of gravity, w = mg.
To obtain the weight of your metal, you will multiply the sectional area, length and density together. Then, to convert the weight to kilograms, you must divide the product by 1,000. You can also determine the weight of your metal product using any number of online metal weight calculators.
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Eva
Evaluate each expression
1/5
(252)
-5
COMPLETE
27
27
DONE
Answer:
9
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
9
(x-y)(x-2y)+7x-10y+3
F(x)= x^3+4x^2-5x-20;x+4
A cylinder closed tin of radius r cm is made from 600cm2 tin sheet of metal.
a.show that it’s height h cm is given by h =300- pi r /pi r
Answer:
Note: The expression "h =300- pi r /pi r" would equate to 299, as written. I find h = (300 - π[tex]r^{2}[/tex] )/πr to be the equation for height.
Step-by-step explanation:
The total surface area of a sylinder is 2πr(h+r) where h is the height and r is the radius. That consists of top and bottom disks, each with an area of π[tex]r^{2}[/tex], for a total of 2π[tex]r^{2}[/tex]. The side is a continous sheet that has an area of 2πrh, where h is the height. 2πr is the circumference of the can, so the surface area of the side is 2πrh.
The total surace area of a closed cylinder is therefore 2π[tex]r^{2}[/tex] + 2πrh.
2π[tex]r^{2}[/tex] + 2πrh = 600
π[tex]r^{2}[/tex] + πrh = 300
πrh = 300 - π[tex]r^{2}[/tex]
h = (300 - π[tex]r^{2}[/tex] )/πr
Are the shapes similar?
a
Yes
b
No
c
It cannot be determined.
solve for x
a) 30
b)45
c) 60
d) 90
Answer using steps: An ice cream shop sells ice cream cones with exactly 1 of 3 ice cream flavors in the cone. The 3 flavors are vanilla, chocolate, and strawberry. last saturday, the shop sold 42 cones. it sold 11 more with chocolate than with vanilla and 2 more with vanilla than with strawberry. how many cones with strawberry ice cream did the shop sell that saturday
Step-by-step explanation:
udhfhxhsjdjejdbcjdxbshajdddjwjed
The number of strawberry ice cream cones the shop sells that Saturday is 9 ice cream.
What is a linear equation?
A linear equation has one or two variables. No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c.
calculation:-
An ice cream shop sells ice cream cones with exactly 1 of 3 ice cream flavors in the cone.
let a number of strawberry ice cream this shop sold on satrday=X
number of vanilla ice cream shops sold = X+2
number of Chocolate ice cream shops sold = X+2+11
Total number of icecream sold on Saturday =42
⇒ X+ X+2+ X+2+11 = 42
⇒ 3X + 15 =42
⇒ 3X = 27
⇒X = 27/3
⇒ X = 9
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solve please ;3 ( will give brainliest ♡ )
If line AB is congruent to line CD then CD is congruent to AB what property
Marsha is twice as old as Karli. The sum of their ages seven years ago was 13. How old
are they now?
Answer:
20
Step-by-step explanation:
the twis old as karli
the sum of their ages 7 years ago
13+7=20
Alicia wants a pair of shoes that cost $68.48. If 17% sales tax must be added to the price, approximately
how much will the shoes cost including sales tax?
Answer:
$80.12; approx. $80
Step-by-step explanation:
- multiply 68.48 x 17% or 68.48 x 0.17 = 11.64
- the tax is 11.64
- add 68.48 + 11.64
- her total is $80.12
- rounded it would be $80
Hope this helped!
The set of all possible outputs for a function is its:
Answer:
the set of all possible outputs for a function is the range
Name the angle pair relationship and solve for the given angle
Answer:
The angle (7x-14) and (4x+19) are corresponding angles. Both angles are 63 degrees.
Step-by-step explanation:
Since the two angles are corresponding, they are equal.
7x-14 = 4x + 19
Subtract the 4x on right side to get 19 alone. Do the same on the left side since, whatever you do on one side, you have to do to the other.
3x-14 = 19
Add the -14 on the left side to get 3x alone. Do the same on the right side since, whatever you do on one side, you have to do to the other.
3x = 33
Divide by 3.
x = 11
PLS HELP WILL MARK BRAINLIEST, NO FAKE ANSWERS OR WILL BE REPORTED.
Answer:
STEP1:
4 Simplify — 1
Equation at the end of step1:
4 (((((((2•(a3))+(4•(a2)))-2a)-————)-(4•(a2)))-4a)+16)•(((((a2)-6a)+(4•a2))+2a)-4) (a3)
STEP2:Equation at the end of step 2
4 (((((((2•(a3))+(4•(a2)))-2a)-————)-(4•(a2)))-4a)+16)•(((((a2)-6a)+22a2)+2a)-4) (a3)
STEP 3 :
Equation at the end of step3:
4 (((((((2•(a3))+(4•(a2)))-2a)-————)-22a2)-4a)+16)•(5a2-4a-4) (a3)
STEP 4 :
4 Simplify —— a3
Equation at the end of step4:
4 (((((((2•(a3))+(4•(a2)))-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3
STEP 5 :
Equation at the end of step5:
4 (((((((2•(a3))+22a2)-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3
STEP 6 :
Equation at the end of step6:
4 ((((((2a3+22a2)-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3
STEP7:Rewriting the whole as an Equivalent Fraction
7.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using a3 as the denominator :
2a3 + 4a2 - 2a (2a3 + 4a2 - 2a) • a3 2a3 + 4a2 - 2a = —————————————— = ————————————————————— 1 a3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
STEP8:Pulling out like terms
8.1 Pull out like factors :
2a3 + 4a2 - 2a = 2a • (a2 + 2a - 1)
Trying to factor by splitting the middle term
8.2 Factoring a2 + 2a - 1
The first term is, a2 its coefficient is 1 .
The middle term is, +2a its coefficient is 2 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1
Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is 2 .
-1 + 1 = 0
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Adding fractions that have a common denominator :
8.3 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2a • (a2+2a-1) • a3 - (4) 2a6 + 4a5 - 2a4 - 4 ————————————————————————— = ——————————————————— a3 a3
Equation at the end of step8:
(2a6+4a5-2a4-4) (((———————————————-22a2)-4a)+16)•(5a2-4a-4) a3
STEP9:
Rewriting the whole as an Equivalent Fraction :
9.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using a3 as the denominator :
22a2 22a2 • a3 22a2 = ———— = ————————— 1 a3
STEP10:
Pulling out like terms :
10.1 Pull out like factors :
2a6 + 4a5 - 2a4 - 4 =
2 • (a6 + 2a5 - a4 - 2)
Checking for a perfect cube :
10.2 a6 + 2a5 - a4 - 2 is not a perfect cube
Trying to factor by pulling out :
10.3 Factoring: a6 + 2a5 - a4 - 2
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -a4 - 2
Group 2: a6 + 2a5
Pull out from each group separately :
Group 1: (a4 + 2) • (-1)
Group 2: (a + 2) • (a5)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
10.4 Find roots (zeroes) of : F(a) = a6 + 2a5 - a4 - 2
Polynomial Roots Calculator is a set of methods aimed at finding values of a for which F(a)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers a which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -2.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant :
Replace ? with a whole number to make the statements true.a. 20 ÷ 4 = ? means ? × 4 = 20b. 2,725 ÷ 5 = ? means ? × 5 = 2,725c. ? ÷ 5 = 0
Please help
Which of the following is equivalent to the expression below?
Answer:
2x2x2 or 2x2x2x2
Step-by-step explanation:
because thats the answer
what mathematician independently discovered calculus after isaac newton?
Answer: Gottfried Wilhelm Leibniz
Step-by-step explanation:
Gottfried Wilhelm Leibniz
simplify -3√3(2+√6)
please include steps
Answer:
-6√3 - 9√2
Step-by-step explanation:
So you distribute like normal:
-3√3 times 2 is -6√3
-3√3 times √6 is -3√18
You can simplify -3√18 into -9√2
(because 9 can be squared into 3 and you can multiply the 3 with the current 3 into 9)
(Also you have to divide 9 out of 18 since you are simplifying)
So the answer will be -6√3-9√2
Hope this helps!
HELP ASAP PLEASE I BEG TOU
Answer:
(0,-2)
(2,-1)
(4,0)
Step-by-step explanation:
The points are the above ones.
x intercept: (4, 0)
y intercept: (0, -2)
HURRY PHOENIX! Hey Phoenix It's worth 100 points!
What should the following equation be multiplied by to eliminate the decimals? -200k – 3.01 = 3.3
100
10
2
20
10
3.3×10= 33
Hope this helped you- have a good day bro cya)
make p the subject of t=p+m/p-m
Answer:
t=9+m/9-m
Step-by-step explanation:
Solve for the unknown.
In Pedro’s rose garden, 9 of the rose bushes are blooming and the other 6 rose bushes are not blooming. what is the ratio of the number of bushes that are not blooming?
Answer:9:6
Step-by-step explanation:
help please, im confused
Step-by-step explanation:
x=½y+5. ......i
2x+3y=-14. .....ii
putting the value of x in equation ii.
2(½y+5)+3y=-14
y+10+3y=-14
4y=-24
y=-6
Now, putting the value of y in first equation.
x=½y+5
x=(½×-6)+5
x=-3+5
x=2.
therefore, the value of x=2 and y=-6.
So, option D is correct answer.
hope this helps you.
A Pentagon has 3 sides that are the same length and 2 sides with different lengths. The 3 sides are 8 cm long.The other 2 sides are 11 and 6 cm long. What is the perimeter?
41
Step-by-step explanation:
3(8)+11+6=24+17=41
Solve for x
please give an explanation
[tex]293 {8}^{?} \sqrt{96} [/tex]
You have a garden ABCD that you decide to move to another
location and enlarge afterwards to become A"B"C"D", as shown. The axes have a
scale in meters. Write the translation rule in the form (x+h, y+k) to show how the
garden has been moved.
b. Determine the scale factor used to enlarge the garden
Answer: no
Step-by-step explanation: no
Answer:
scale enlargement of 1 1/2 ( x+5, y+3)
Step-by-step explanation: