Answer: [tex]\dfrac{1}{3}[/tex].
Step-by-step explanation:
Experimental probability = [tex]\dfrac{favorable\ outcomes}{Total\ outcomes}[/tex]
Given: Total pieces of fruit = 18 (Total outcomes)
Number of oranges = 6 (Favorable )
Then, the experimental probability that the nest piece of fruit Albert sells will be an orange = [tex]\dfrac{6}{18}[/tex] [By formula of experimental probability]
[tex]=\dfrac{1}{3}[/tex]
Hence, the required probability is [tex]\dfrac{1}{3}[/tex].
a + b =16
solve for A
jessica is saving money for a new sailboat. she has already saved $1000 and plans to save $150 per week. this situation can be represented by the function f(x)=1000+150x, where x is the number of weeks. how much money has jessica saved after 12 weeks
Answer: $2800
Step-by-step explanation:
if the function is f(x) and shes already saved $1000 plug in the functions, or in other words plug in x for weeks.
1000 + 150 x
(plug in x)
1000 + 150 x 12
so now you do 150 x 12 which equels 1800
then add how muh shes saved and thats will be your total.
at the science school, there is one microscope for every 5 students. The principal figures that in order to have one for every 4 students, she needs 6 additional microscopes. How many students are at the school?
The perimeter of a right triangle is 25 meters and the area is 20 square meters. The length of the sides are each multipled by 3. What is the are of the new triangle
Answer:
The area of the new triangle is 180 m²
Step-by-step explanation:
let the height of the triangle = h
let the base of the triangle = b
The area of right triangle is given by;
A = ¹/₂bh
20 = ¹/₂bh
If we multiple each side of the triangle by 3, the new area of the triangle will be as follows;
A= ¹/₂(3b)(3h)
A = ¹/₂(9) (bh)
A = 9(¹/₂bh)
A = 9(20)
A = 180 m²
Therefore, the area of the new triangle is 180 m²
Answer: D
Step-by-step explanation:
The solutions of the equation x2 – 2 = x are ?
Answer: x= 2, -1
Step-by-step explanation:
What is the domain of (g/f)
Answer:
The denominator of [tex] \frac{g}{h} [/tex] is h and Numerator is g.
How do i solve 6(2-4y) +4(6y-2)<4(y+4)
[tex]6(2-4y) +4(6y-2)<4(y+4)[/tex] (distribute)
[tex]12-24y+24y-8<4y+16[/tex] (collect like-terms)
[tex]12-8<4y+16\\4<4y+16\\-4y<16-4\\-4y<12\\y>\frac{12}{-4}[/tex] (we flipped the sign because we divided by a negative)
[tex]y>-3[/tex]
A small jar of salsa contains 12 1/2 cup of salsa. A large jar of salsa contains 75 ounces. How many small jars of salsa is equal to one large jar of salsa?
Answer:
6
Step-by-step explanation:
75 divided by 12.5 equals 6 cups of salsa
What’s the answer to this question?
Answer:
report that dude the answer is:
-7.75
Step-by-step explanation:
(1/2)^2 - 6(2 - 2/3)
First we get rid of the exponent 2 by muliplying the (1/2) two times.
(1/2)×(1/2) = 1/4
Now we have:
1/4 - 6(2 - 2/3)
Now we solve the equation in the other paraenthesis:
(2 - 2/3) = 1 1/3
Now we plug it back in:
1/4 - 6(1 1/3)
Now we mulitply the 6 with the fraction 1 1/3 in the paraenthesis:
6(1 1/3) = 8
Now we plug it back in:
1/4 - 8
Now finally solve this fraction:
-7.75
A truck parked on the street is 56 m from the base of the apartment building on the right. The angle of elevation from the truck to the top of the building is 40°. The parked truck is 49 m from the base of the apartment building on the left. The angle of elevation from the truck to the top of that building is 50°. Which building is taller?
Answer:
The taller building is the second building which is the apartment building on the left with an height of 58.4m
Step-by-step explanation:
This is a Trigonometric question. We solve this using the Tangent formula
tan θ = Opposite side/Adjacent side
We are given 2 buildings
Building 1
tan θ = Opposite side/Adjacent side
θ = Angle of Elevation = 40°
Distance from the base of the building = Adjacent = 56m
Height of the building = Opposite side = unknown
tan 40 = 0pposite/56m
Opposite = tan 40 × 56m
Opposite = 46.989579346m
Approximately = 47m
Height of Building 1 = 47m
Building 2
tan θ = Opposite side/Adjacent side
θ = Angle of Elevation = 50°
Distance from the base of the building = Adjacent = 49m
Height of the building = Opposite side = unknown
tan 50 = 0pposite/49m
Opposite = tan 50 × 49m
Opposite = 58.395926037m
Approximately = 58.4m
Height of Building 2 = 58.4m
The taller building is the second building which is the apartment building on the left with an height of 58.4m
raise the quotient of 7 and g to the 4th power
Answer:
(7÷g)[tex]^{4}[/tex]
Step-by-step explanation:
The quotient is the answer to a division problem. So the quotient of 7 and g means to divide 7 and g. Then raise that to the 4th power.
4+7x=7(x+1)
Find each solutions please help
Answer:
no solution
Step-by-step explanation:
Given
4 + 7x = 7(x + 1) ← distribute
4 + 7x = 7x + 7 ( subtract 4 from both sides )
7x = 7x + 3 ( subtract 7x from both sides )
0 = 3 ← not possible
This indicates the equation has no solution
Help please I am confused inverse variation problem
Answer:
y =2
Step-by-step explanation:
Inverse variation is of the form
xy = k
3*6 = k
18 = k
xy = 18
Now when x = 9, find y
9*y = 18
Divide by 9
y = 18/9
y =2
When x =9, y =2
Answer:
y = 2
Step-by-step explanation:
y = 6 ⇔ x= 3
y = ? ⇔ x = 9
y = 6*3/9
y = 2
Rewrite 48 + 60 using the distributive property
Answer:
12* ( 4+5)
Step-by-step explanation:
48 = 12 * 4
60 = 12 * 5
48 + 60 = 12*4 + 12*5
= 12*( 4 + 5)
= 12* 9
= 108
What is the missing value in x2y8 · x3y? = x5y5?
Answer:
-3
Step-by-step explanation:
To find:
The value of '?' in the following expression:
[tex]x^2y^8.x^3y^? = x^5y^5[/tex]
Solution:
First of all, let us have a look at a few rules of the exponents:
[tex]1.\ a^b.a^c=a^{b+c}[/tex]
[tex]2.\ a^b.a^{-c}=a^{b-c}[/tex]
Let us apply these rules and try to find out the missing value ('?') in the given expression.
Left Hand Side (LHS):
[tex]x^2y^8.x^3y^?\\\Rightarrow x^2.x^3.y^8.y^?\\\Rightarrow x^{2+3}y^{8+?}\\\Rightarrow x^{5}y^{8+?}[/tex]
Now, let us compare the LHS with RHS, we get:
[tex]x^{5}y^{8+?} = x^{5}y^{5}[/tex]
Dividing with [tex]x^5[/tex] on both sides:
[tex]y^{8+?} = y^5\\\Rightarrow 8+? = 5\\\Rightarrow ? = 5-8 \\\Rightarrow ? =-3[/tex]
Therefore, the missing value in the expression is -3.
Answer:
-3
Rules of the exponents power:
1. a^b * a^c = a^(b+c)
2. a^b * a^(-c) = a^(b-c)
Applying these rules on Left Hand Side of the expression given:
= x2y8 * x3y?
= x2x3 * y8y?
= x^(2 + 3) * y^(8 + ?)
Right hand side of the expression given:
= x5y5
Comparing the LHS and RHS, we get
x5y^(8 + ?) = x5y5
Dividing with x5 on both sides:
y^(8 + ?) = y5
8 + ? = 5
? = 5 - 8
? = -3
Therefore, the missing value in the expression is -3.
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)) Linda and her dad are making rock candy. The first step is to pour sugar into boiling
water. So, Linda opens a 4-cup bag of sugar. Linda's dad pours 3 cups into the water.
()) What fraction of the bag of sugar does Linda's dad pour into the water?
Answer:
umm, 3/4
like
bru
Step-by-step explanation:
Where can you put parenthese so that the answer is correct 28-24/4•2=25
Answer:
This really is about trial and error
28-24/(4*2)=25
Step-by-step explanation:
If you do this correctly, the numbers you'll get are 28-3 = 25!
Hope this helps!! :)
Answer:
I think this is the answer
Use the figure to the right to find the value of PT. T is the midpoint of PQ.
PT = 5x +2 and TQ = 7x-6
PT=
(Simplify your answer.)
Answer:
22
Step-by-step explanation:
Given that T is the midpoint of line PQ, PT and TQ are both equal segments of line PQ.
PT is given as 5x + 2,
TQ = 7x - 6
Therefore:
[tex] 5x + 2 = 7x - 6 [/tex]
Solve for x
[tex] 5x + 2 - 7x = 7x - 6 - 7x [/tex]
[tex] -2x + 2 = -6 [/tex]
[tex] -2x + 2 - 2 = -6 - 2 [/tex]
[tex] -2x = -8 [/tex]
[tex] \frac{-2x}{-2} = \frac{-8}{-2} [/tex]
[tex] x = 4 [/tex]
PT = [tex] 5x + 2 [/tex]
Input the value of x
[tex] PT = 5(4) + 2 = 20 + 2 = 22 [/tex]
The function h(x) = –x5 + 12x is an odd function. Which transformation of h(x) results in an odd function? A.h(5 – x) B.1 + h(x) C.h(x + 8) D.–6h(x)
Answer:
[tex]\Huge \boxed{\mathrm{B.} \ 1+h(x)}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The function is odd when f(-x) = -f(x).
1 + h(-x) = 1 + -h(x)
[tex]1 + -(-x)^5 + 12(-x) = 1 + -(-x^5 + 12x)[/tex]
Solving:
[tex]1 + x^5 -12x= 1 + x^5 - 12x[/tex]
[tex]x=x[/tex]
The equation is true.
[tex]\rule[225]{225}{2}[/tex]
Math SAT scores are Normally distributed with mean µ=500 and standard deviation σ=100 . The curve is displayed above. What percentage of the SAT Math scores are less than one standard deviation above the mean?
Answer:
Step-by-step explanation:
mean µ = 500
standard deviation σ = 100
Required P ( X < µ + σ )
= P ( X < 500 + 100 )
= P ( X < 600 )
= P [Z < (X - µ) / σ ]
= P [Z < (600 - 500) / 100 ]
= P [Z < + 1 ]
= .8413
In terms of percent the probability is 84.13 % .
Students are playing a game similar to blackjack (with a standard 52 card deck)- trying to get as close to 21 points without going over. The ace is only worth 1 point and each face card is worth 10 points, the remaining cards have face value. Player A draws a eight and a nine. Player B draws a four and a jack. If Player A next draws a two, what is the probability of Player B winning the round?
What is the prime factorization of 100? 2 × 5 2 × 2 × 5 × 5 2 × 5 × 10 10 × 10
Answer:
2*2*5*5
Step-by-step explanation:
A box with no top that has a volume of 1000 cubic inches is to be constructed from a 22 x 30-inch sheet of cardboard by cutting squares of equal size from each corner and folding up the flaps. If one of the dimensions has to be greater than 18 inches, what size square should be cut from each corner?
a. 2.234 in
C. 1.369 in
b. 3.784 in
d. 2.758 in
Answer:
a: 2.234
Step-by-step explanation:
i checked after i took the test. its right, enjoy
The size of the square cut from each corner will be 1.369 inches. The correct option is C.
What is geometry?Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.
Given that a box with no top that has a volume of 1000 cubic inches is to be constructed from a 22 x 30-inch sheet of cardboard by cutting squares of equal size from each corner and folding up the flaps.
The size of the square cut from each corner will be calculated as,
Volume = L x H x W
1000 = 22 x 30 x H
H = ( 1000 ) / ( 660 )
H = 1.538 or 1.369 inches
Therefore, the size will be 1.369 inches.
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If f(x) = x-5 and g(x) = 3x2-1,
what is (fºg)(x)?
Answer:
[tex](f\circ \: g)(x) = {3x}^{2} - 6[/tex]Step-by-step explanation:
f(x) = x - 5
g(x) = 3x² - 1
To find (fºg)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with g (x)
That's
[tex](f\circ \: g)(x) = 3 {x}^{2} -1 - 5 [/tex]We have the final answer as
[tex](f\circ \: g)(x) = {3x}^{2} - 6[/tex]Hope this helps you
Out of the 400 students in a final year in secondary school, 300 are offering biology and 190 are offering chemistry. I) how many student are offering both subject , if only 70 students are offering neither biology nor chemistry? I) how many students are offering at least one biology and chemistry?
Answer:
I) how many student are offering both subject , if only 70 students are offering neither biology nor chemistry?
= 160 students
II) how many students are offering at least one biology and chemistry?
= 330 students
Step-by-step explanation:
I) how many student are offering both subject , if only 70 students are offering neither biology nor chemistry?
Total number of student n ( B ∪ C) = 400
Students offering biology n(B) = 300
Students offering chemistry n(C) = 190
Students not offering biology nor chemistry = 70
Students offering both biology and chemistry n ( B ∩ C) = ??
n ( B ∪ C) - Students neither offering biology nor chemistry = n(B ) + n ( C ) - n ( B ∩ C)
400 - 70 = 300 + 190 - n ( B ∩ C)
330 = 490 - n ( B ∩ C)
n ( B ∩ C) = 490 - 330
n ( B ∩ C) = 160
Therefore, students offering both Biology and Chemistry are 160 students.
II) how many students are offering at least one biology and chemistry?
n(B' ) + n ( C') + n ( B ∩ C)
n(B') = Students offering biology only
= n(B) - n ( B ∩ C)
= 300 - 160 = 140
n(C') = Students offering chemistry only
n(C) - n ( B ∩ C)
= 190 - 160
= 30
(300 - 160) + (190 - 160) + 160
140 + 30 + 160
= 330 students
Salim and Anna met when they were in first grade, and they have been best friends for 10 years. Which part of this sentence is a clause?
Here, we are required to identify which part of the sentence is a clause .
The clause in the sentence is "Salim and Anna met when they were in first grade"
First, we must know that a clause is simply defined as a group of words containing a subject and predicate and functions as a part of a complex or compound sentence.
The sentence "Salim and Anna met when they were in first grade, and they have been best friends for 10 years." is a compound sentence.
And, the "Salim and Anna met when they were in first grade" part of the sentence is a clause as it has a subject which is "Salim and Anna" and a predicate which is the rest of the sentence i.e "met when they were in first grade"
The part of the sentence which is a clause is Salim and Anna met when they were in first grade
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Answer: A
Step-by-step explanation:
I got it correct..
4a4 − 2b2 + 40 when a = 2 and b = 7.
Answer:
44
Step-by-step explanation:
4(2)4 - 2(7)2 + 40
32 - 28 + 40
44
Answer: 6
Step-by-step explanation:
4a^4-2b^2+40, given a=2 and b=7
4a^4-2b^2+40
=4(2)^4-2(7)^2+40
=4(16)-2(49)+40
=64-98+40
=-34+40
=6
Hope this helps!! :)
Please let me know if you have any question
Find the LCM of the given set of counting numbers.
4, 30
Answer:
2, 15
Step-by-step explanation:
LCM= Lowest Common Denominator
4, 30 divided by 2 is the lowest because you cant do 3 because ti wouldn't work for (4) and it wouldn't be 4 because it would make 30 into 7.5 which is not right
so the answer is 2, 15
I’m not very good at these so someone help me out :,)
Answer:
-4,-1
i have to put 20 character so here is 20 characters
Answer:
( -4, 1 )
Step-by-step explanation:
( 4, 1 ) starts in quadrant 1. ( +, + )
When reflected over the y-axis it moves to quadrant 2. ( -, + )
The value of (9.93).0.984
Answer:
9.77112
Step-by-step explanation:
Given
[tex](9.93).0.984[/tex]
Required
Evaluate
To get the value of the expression, we simply multiply both together as follows; 9.93 * 0.984
First, take note of the decimal places
9.93 = 2 decimal places
0.984 = 3 decimal places
Remove the decimals and multiply the numbers as follows
9 9 3
9 8 4
----------------------
3 9 7 2
7 9 4 4
8 9 3 7
-----------------------------------
9 7 7 1 1 2
Add the decimal places
2 decimal place + 3 decimal places = 5 decimal places
Hence, the result is 9.77112 (5 decimal places)