Answer: 7/8 or 0.875
Step-by-step explanation:
28
32
Reduce the fraction
28/32
to lowest terms by extracting and canceling out 4.
7/8
the simplest form of given fraction 28/32 is 7/8.
Given that:
Fraction: 28/32
To write the fraction 28/32 in its simplest form, to find the greatest common divisor (GCD) of the numerator (28) and the denominator (32) and then divide both the numerator and denominator by that GCD.
Step 1: Find the GCD of 28 and 32.
The factors of 28 are 1, 2, 4, 7, 14, and 28.
The factors of 32 are 1, 2, 4, 8, 16, and 32.
The largest common factor between 28 and 32 is 4.
Step 2: Divide both the numerator and denominator by the GCD (4).
28 ÷ 4 = 7
32 ÷ 4 = 8
Hence, the simplified fraction is 7/8.
Learn more about Fraction here:
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A 300-inch board is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
The shorter piece is
inches long
Answer:
60 inches
Step-by-step explanation:
The length of shorter piece is = 1/5 × 300 = 60 inches
There are 6 red marbles 4 blue marbles to yellow marbles. Sabrina picks 2 marbles without putting the first one back what is the probability that she picks a not yellow marble and then a blue marble.
Answer:
P = 3/11
Step-by-step explanation:
There are:
6 red marbles
4 blue marbles
2 yellow marbles.
So there are a total of 12 marbles in the bag, such that each one has the same probability of being randomly picked.
We want to find the probability that the first pick is not yellow (so it can be either blue or red), and the second pick is a blue marble.
Now there are two cases.
The first marble is red and the second blue
the first marble is blue and the second blue
We need to find the probability in each case.
The probability that the first marble is red is equal to the quotient between the number of red marbles (6) and the total number of marbles (12)
p = 6/12
Now, for the second draw, we need a blue marble, the probability in this case is the quotient between the number of blue marbles (4) and the total number of marbles in the bag (now there are 11, because one is already taken)
q = 4/11
The joint probability is equal to the product of the individual probabilities, then:
P₁ = p*q = (6/12)*(4/11) = 2/11
And for the other case, we draw two blue marbles:
For the first draw, the probability is:
p = 4/12
And for the second draw, now there are 3 blue marbles and 11 total marbles, then the probability is:
q = 3/11
The joint probability is:
P₂ = (4/12)*(3/11) = 1/11
The total probability is then:
P = P₁ + P₂ = 2/11 + 1/11 = 3/11
19 ft 17ft 19 ft Volume =
Answer:
1,022.83 ft³
Step-by-step explanation:
volume= ⅓×½××19×17×19 = 1,022.83 ft³
Find the values of x and y
Answer:
x = 54, y = 63
Step-by-step explanation:
117° and the left base angle are adjacent and sum to 180°
base + 117° = 180° ( subtract 117° from both sides )
base = 63°
Since the triangle is isosceles ( congruent legs ) then the 2 base angles are congruent , so y = 63
and x = 180 - (63 + 63) ← sum of angles in a triangle
x = 180 - 126 = 54
Can somebody please help me
Answer:
39
Step-by-step explanation:
78/2 = 39
3. A picture costs $40 but Brian has a coupon
for 10% off. How much money will Brian have
to pay for the picture?
Answer: $36
Step-by-step explanation: 10% of 40 is 4 so 40- 4 is 36
What is the mean of 53,13,34,41 26,61,34,13,69?
Qual O valor de (6-2,4) :0,6
Answer: (-1)º + (-6) : (-2) - 24 = 1+(-6): (-2) - 16 = 1+3 - 16 = %3| 4 - 16 = - 12
Espero ter ajudado bons estudos tenha uma Boa noite ❤
Brainlist PLz
⚠️ Help I don’t know how todo this and I’d appreciate it if someone could help me ⚠️
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Area=
[tex]\pi \times r {}^{2} [/tex]
1)To find radius diameter/2
21.5÷2=10.75
[tex]10.75 {}^{2} \times \pi = 362.87[/tex]
area =362.87cm
2)
[tex]\pi \times 13.2 {}^{2} = 547.39[/tex]
area=547.39cm
a)
Area = pie × ( 21.5 / 2 )^2
Area = pie × ( 10.75 )^2
Area = pie × 115.5625
Area = 3.14 × 115.5625
Area = 362.86625 cm^2
___________________________
b)
Area = pie × ( 13.2 )^2
Area = pie × 174.24
Area = 3.14 × 174.24
Area = 547.1136 ft^2
In the diagram below, 'AB is parallel to cd. What is the value of y?
60 jdfjbdjdjdjd ah inebauwkwhiwiwnais
Answer:
60
Step-by-step explanation:
The triangles formed by the diagonals of a square are equilateral. always sometimes never
Answer:
They are equilateral ever.
In the figure, AOB and COD are straight lines. Find x and y.
E
A
20
65
B
The image of the straight lines is missing so i have attached it.
Answer:
x = 20°
y = 120°
Step-by-step explanation:
From the image attached, we can say that;
3x + (7x - 20) = 180
This is because sum of angles on a straight line is 180°
Thus;
3x + 7x - 20 = 180
10x = 180 + 20
10x = 200
x = 200/10
x = 20°
Also,3x + y = 180
Because sum of angles on a straight line is 180°. Thus;
3(20) + y = 180
60 + y = 180
y = 180 - 60
y = 120°
A triangle has an area of 153.79 square centimeters and a base of 18.2 centimeters. What is the height?
Answer:
16.9
Step-by-step explanation:
Which of the following functions translates the graph of the parent function
f(x)=x2f(x)=x2
horizontally left 8 units?
Answer:
(x + 8)^2
Step-by-step explanation:
f(x) ----> f(x + 8)
Aaron, Bonny and Connor are playing a game with cards.
Aaron has some cards.
Bonny has twice as many cards as Aaron.
Connor has 6 cards more than Bonny.
They have a total of 101 cards.
Work out how many cards Aaron has.
Let the number of cards Aaron has : A
Given :
⊕ Bonny has twice as many cards as Aaron
⊕ Connor has 6 cards more than Bonny
⊕ Total cards : 101
⇒ Number of cards Bonny has : 2A
⇒ Number of cards Connor has : 2A + 6
⇒ Aaron cards + Bonny cards + Connor cards = 101
⇒ A + 2A + 2A + 6 = 101
⇒ 5A = 101 - 6
⇒ 5A = 95
⇒ A = 19
Answer : Aaron has 19 Cards
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The table below shows the cost of a pizza based on the number of toppings. (attached)
Which function represents the cost of a pizza with n toppings?
C(n) = 12 + n
C(n) = 1.5n + 12
C(n) = 12 + 1.5(n – 1)
C(n) = 12n
Answer:
C(n) = 12 + 1.5(n – 1)
Step-by-step explanation:
A sphere fits inside a cube with the sphere's diameter equal to the width of the cube, 20 centimeters. What is the volume of the cube not filled by the sphere? Round to the nearest cm³
A) 3813cm³
B) 3225cm³
C) 4079cm³
D) 3546cm³
The volume of the cube not filled by the sphere is 3811.209. Option A is the correct.
What is volume?The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic m.
The volume of sphere is found as;;
[tex]\rm V_{sphere}= \frac{4}{3} \pi r^3 \\\\ V_{sphere}= \frac{4}{3} \times 3.14 (10)^3 \\\\ V_{sphere}= 4188.79 \ cm^3[/tex]
The volume of cube is found as;
Volume of cube = Length x width x height
Volume of cube =20 x 20 x 20
Volume of cube = 8000
The volume of the cube not filled by the sphere is found by subtract the volume of the cube by the volume of the sphere.
V=8000 - 4188.790205
V = 3811.209
The volume of the cube not filled by the sphere is 3811.209.
Hence, option A is the correct.
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1 and 2 are complementary angles. The measure of 1 is 62 degrees. The measure of 2 is 2x degrees. Find the value of x. The figure is not drawn to scale. The value of x is ?
Find the surface area. Round the nearest hundredth.
Answer: 31.42 m
Step-by-step explanation:
[tex]A=2\pi rh+2\pi r^2[/tex]
[tex]A=2\pi (1)(4)+2\pi (1)^2[/tex]
[tex]A=31.42[/tex]
Hope this helped! ;)
Select all the true statements.
A. 2 + (−2) is equal to zero.
B. (−3) + (−4) is positive.
C. −2 − (− 2) is positive.
D. 5 + (−2) is positive .
E. 7 − (−10) is negative.
Answer:
A and D
Step-by-step explanation:
Answer:
A. 2 + (−2) = 2 - 2= 0, true.
B. (−3) + (−4) = - 3 - 4 = -7 is negative, False
C. −2 − (− 2) = -2 + 2 = 0, neither positive nor negative, false.
D. 5 + (−2) = 5 - 2 = 3,is positive true.
E. 7 − (−10)= 7 + 10 = 17 is psoitive, false
options : A, D
Plz help If you give a good answer I will mark you brainlyest.
Answer:
its f
Step-by-step explanation:
Rule for 270° counterclockwise rotation: (x, y) → ( ‐ y, x )
Identify the inverse variation and graph in which y = 0.5 when x = 10.
Answer:
Step-by-step explanation:
Caculate the temperature change if 3456 J of thermal energy was transferred into 3.0 kg of lead? The specific heat of lead is 128 J/kgo C.
Answer:
9°C
Step-by-step explanation:
quantity of heat energy absorbed is expressed as;
Q = mcΔt
m is the mass
c is the specific heat capacity
Δt is the change in temperature
Substitute the given values
3456 = 3 * 128 Δt
3456 = 384Δt
Δt = 3456/384
Δt = 9°C
Hence the temperature change is 9°C
hii! please help asap. i’ll give brainliest
Answer: B
Step-by-step explanation:
PLEASE ASAP ILL GIVE BRAINLIEST.
Answer:
5 N towards north I think
Step-by-step explanation:
This graph represents the function f(x)=x2-4x+3/x2+ax+b
hey! please help i’ll give brainliest
Answer: A goverment by people
Step-by-step explanation:
A drug company conducts trials of a new vaccine for a rare but usually fatal disease. The company creates a
geometric model for this trial and establishes p=0.2 as the probability of success.
What can be said about this model?
Select all that apply.
1)The company predicts 4 failures before a success.
2)Each trial is independent.
3)The probability is the same for each trial.
4)The probability that the vaccine will be effective is p = 0.8.
5)Success is defined as preventing the disease.
6)The company predicts 8 failures before a success.
7)Success is defined as p = 0.2.
Answer:
What can be said about the model are;
1) The company predicts 4 failures before success
2) Each trial is independent
3) The probability is the same for each trial
4) Success is defined as preventing the disease
Step-by-step explanation:
The probability of success for the vaccine, p = 0.2
Therefore, the probability that the vaccine is effective and prevents the disease = 0.2
A geometric distribution probability of success is given by the following formula;
P(X = x) = p × q⁽ˣ⁻¹⁾
The expected value, E(Y) = 1/p
The number of failures before success, E(Y) = (1 - p)/p = (1 - 0.2)/0.2 = 4
Where;
q = The probability of a trial failing = 1 - p = 1 - 0.2 = 0.8
q = 1 - p
∴ The e
The geometric model criteria are;
a) Each trial can only have one of two outcomes success or failure
b) The probability of success for each trial is fixed
c) The geometric distribution is concerned with finding how many trials are required to get one success
d) The trials are independent
Therefore, we have;
The number of failures the company predicts before a success = 4 failures
2) The trials are independent
3) Each trial has an equal probability
4) Success is defined by the effectiveness of the vaccine in the prevention of the disease
What is the mean of the data set?
10, 15, 14, 8, 18, 11, 12, 12, 10, 10, 17, 16
12.00
12.25
12.75
15.50
A town's yearly snowfall in inches over a 10-year period is recorded in this table.
What is the mean of the snowfall amounts?
16.4 in.
17.1 in.
17.4 in.
18.1 in.
Year Snowfall in inches
2001 11
2002 15
2003 19
2004 17
2005 23
2006 20
2007 17
2008 13
2009 18
2010 21
Jody's team scored 21, 25, 36, 16, and 32 points at the last five football games.
What is the mean number of points Jody's team scored?
20 points
21 points
25 points
26 points
What is the mean of the values in the stem-and-leaf plot?
Enter your answer in the box.
3|1
4|
5|5
6|8
7|0, 0, 2
Key: 2|5 means 25
Ok, im guessing that this is all about mean
First mean is just adding everything up for example:
5+5+10+10+5
so the answer is 35, but that isnt completely finished you need to divide 35 by 5, or how many numbers were added then you get the mean for my example the mean is 7
------------------------------------------------
ACTUAL PROBLEMS
1. 10+15+14+8+18+11+12+12+10+10+17+16 = 153
153/12= 12.75
2. 16.4+17.1+17.4+18.1= 69 B)
69/4=17.25
3. 11+15+19+17+23+20+17+13+18+21=174
174/11=15.8181818182
4. 21+25+36+16+32= 130
130/5=26
a