Answer:
ttt
htt
tht
tth
hht
thh
hth
hhh
these are the possible outcomes of the three outcomes
so probability of hhh = 1/8
The probability that the coin lands with the heads side up on all 3 flips will be 1/8.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,
P = (Favorable event) / (Total event)
Esme intends to record the outcomes of each flip of a fair coin as she tosses it three times. The likelihood that the coin will fall with the heads side up on all three flips is then determined to be:
P = (1/2) x (1/2) x (1/2)
P = 1/8
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Which of the following probabilities is the greatest for a standard normal distribution?
P(-1.5 575-0.5)
P(-0.5 SZ30.5)
P(0.5 5731.5)
P(1.5 523 2.5)
Answer: it’s actually b for edge 2020
Step-by-step explanation:
The probabilities greatest for a standard normal distribution is
P(-0.5 SZ30.5) i.e. 38.2%
What is a standard normal Distribution ?A special normal distribution where the mean is 0 and the standard deviation is 1. It is also called the z-distribution .
For the data given in the question
P(-1.5 575-0.5)
P(-0.5 SZ30.5)
P(0.5 5731.5)
P(1.5 523 2.5)
[tex]P_{r} (-1.5 \leq z \leq 0.5) = 0.092 +0.15=0.242\\\\P_{r} (-0.5 \leq z \leq 0.5)= 0.191+0.191= 0.382\\\\P_{r} (0.5 \leq z \leq 1.5)= 0.15+0.092=0.242\\P_{r} (1.5 \leq z \leq 2.5)= 0.044+0.017=0.061[/tex]
From the given data the second data is the highest 0.382 , so the correct answer is P(-0.5 SZ30.5).
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compound interest: if 1000$ is compounded continuously at 3% interest, how much money will you have in 5 years? (use the growth formula y=Ce exponent of kt)
Answer:
The money you will have in 5 years: 1000 x (1 + 3/100)^5 = 1159.27$
Hope this helps!
:)
Linda earns $5.25 and spent $3.75 one week the next week she earned $4.40 and spent $2.25 how much money did Linda have left after these two weeks
Total what she made.
5.25 + 4.40 = 9.65
Total what she spent:
3.75 + 2.25 = 6.00
Subra to the amount spent from the amount earned:
9.65 -6.00 = 3.65
She has $3.65 left
2p^2+p-4=0
Can someone please help and show how you did it I am not understanding this thank you so much
See the attached picture:
A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.
A. What is the slant height of the pyramid?
B. What is the surface area of the composite figure?
C. How many cubic yards of concrete are needed to make the planter?
Answer:
Notice that each edge of the cube is 2 yards long, and the height of the pyramid is 2 yards long too.
The slant height refers to the height of a triangle on its face, which forms a right triangle with the height of the pyramid and half side. Using Pythagorean's Theorem, we have
[tex]s^{2}=1^{2} +2^{2}\\ s=\sqrt{5}[/tex]
Therefore, the slant height is the square root of 5, in yards units. (A)
The surface of the composite figure is the sum of the surface area of both volumes.
[tex]S_{composite}=S_{cube} +S_{pyramid}\\ S_{composite}=5(2)^{2} +(2)^{2} +\frac{1}{2} (8)(\sqrt{5} )=20+4+4\sqrt{5} \\ S_{composite}\approx 32.9 yd^{2}[/tex]
Therefore, the surface of the composite figure is 32.9 square yards. (B)
The concrete needed will fill the empty space between the cube and the pyramid, so we have to find the difference between their volumes.
[tex]V_{concrete}=V_{cube} -V_{pyramid}=2^{3}-\frac{1}{3}(2)^{2} (2)=8-\frac{8}{3} \\V_{concrete} \approx 5.33 yd^{3}[/tex]
Therefore, we need 5.33 cubic yards of concrete to make the planter. (C)
Answer:
A. 2.24 yd
B. 53.67 yd²
C. 5.33 yd³
Step-by-step explanation:
Here we have;
Height of the pyramid = 2 yd
Side length of pyramid base = 2 yd
Therefore, the slant height forms a right triangle with the height of the pyramid and half the base hence;
(Slant height)² = (2·yd)² + (2·yd/2)² = 4·(yd)² + (yd)² = 5·(yd)²
∴ Slant height = √5 yards = 2.24 yd
B. The surface area of the cube with one side open is found as follows;
Surface area of container cube = 5 × (2·yd)² = 20 yards²
The surface area of the pyramid = Base area + 1/2 perimeter of base × Slant height
Since the base is open, we have;
The surface area of the pyramid = 1/2 perimeter of base × Slant height
= 1/2 × (4 × (2·yd))×yd·√5 = 4·yd×yd·√5 = 4·√5·(yd)²
Hence total surface area of the planter = Surface area of container cube + surface area of the pyramid
total surface area of the planter = 20·yd² + 4·√5 yd² = 24·√5 yards²
C. The volume of concrete needed to make the planter is the volume of the cube concrete container less the volume of the inverted pyramid
Volume of the cube = 2 × 2 × 2 = 8 yd³
Volume of the inverted pyramid = 1/3 × Base area × Height
Volume of the inverted pyramid = 1/3 × 2 × 2 × 2 = 8/3 yd³
Therefore, volume of the concrete needed = 8 yd³ - 8/3 yd³ = 16/3 yd³ = 5.33 yd³.
Please Help me. I provided 2 pictures.
Answer:
ya switch the the 1st one and the last one
Step-by-step explanation:
5x to the power of 2 =25x to the power of 2
Answer:
1:5
Step-by-step explanation:
5x² = 25x²
Divide both sides by 5x²
5x²/5x² = 25x²/5x²
1:5
Find the area of the shaded regions:
The pink is the shaded region
Answer: 5184.
Step-by-step explanation:
You do 72 x 72.
The length of a rectangle is 5 m less than twice the width, and the area of the rectangle is 52m ^ 2 . Find the dimensions of the rectangle.
The dimension of the rectangle is 8m by 6.5m respectively
Area of a rectangleThe formula for calculating the area of a rectangle is expressed as;
A =lw
If the length of a rectangle is 5 m less than twice the width, then;
l = 2w - 5
Substitute
A = w(2w-5)
52 = 2w² - 5w
2w² - 5w = 52
2w² - 5w - 52 = 0
(2w−13)(w+4)=0
Step 2: Set factors equal to 0.
2w−13=0 or w+4=0
w =13/2 or 6.5m
Determine the length
l = 2w - 5
l = 2(6.5) - 5
l = 13 - 5
l =8m
Hence the dimension of the rectangle is 8m by 6.5m respectively
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A circle has centre (0, 0) and it passes through the point (5, -3)
Find the radius of the circle, in surd form.
Answer:
radius = [tex]\sqrt{34}[/tex]
Step-by-step explanation:
The radius r is the distance from the centre to a point on the circle.
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (5, - 3)
r = [tex]\sqrt{(5-0)^2+(- 3-0)^2}[/tex]
= [tex]\sqrt{5^2+(-3)^2}[/tex]
= [tex]\sqrt{25+9}[/tex]
= [tex]\sqrt{34}[/tex]
Simplify (√3 − √7)^2
Answer: 10 - 2√21
Step-by-step explanation: I simplified your question by using an online calculator. :)
At a cafe, the Bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. The Cortez family pays $14 for two salads
and two sandwiches The Donovan family pays $14 for a salad and three fruit bowls What is the price of a fruit bowl at the
cafe?
Answer: The price of a fruit bowl at the cafe is $3
Step-by-step explanation:
$3 in the price of a Fruit bowl at the cafe.
What is the price of a fruit bowl at the cafe?
According to the given In the question,
Let,
price of a Salad = Sl
price of a fruit bowl = Fb
Fb price of a sandwich = Sd
Sl + Fb+sd=$12 ..1
2 SI + 2 Sd = $14 ..2
Sl + 3Pb Fb = $14 ..3
from equation 2
Sl = 7 - Sd
from equation 3
7 - Sd + 3Fb = 14
Sd = 3Fb - 7
from equation 1
14- 3Fb+Fb+ 2(3Fb-7)=12
14- 2 Pb +6Fb-14=12
4Fb = 12
Fb = 3
Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
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I need help guys . Anyone help me ?
Answer:
2:3
Step-by-step explanation:
15/25 are girls
10/25 are boys
10/25 to 15/25
2/5 : 3/5
2:3
I don’t understand this question please help
Answer:
Between 3² and 4⁴
Between 3 and 4
Step-by-step explanation:
Number 15 is between between 3² and 4⁴
While √15 = 3.8 72 is between 3 and 4.
The age of the volunteers at a local food bank are 34, 25, 24, 50, 18, 46, 43, 36, 32. What is the median for the data set?
It is 34
First you have to order all of the number from least to greatest:
18 24 25 32 34 36 43 46 50
Then you cross out a number from each side, until you are left with the last number, which is the median. In this case your answer is 34.
A recipe for trail mix calls for 2 3/4 cups of peanuts, 1 2/3 cups of cashews, and 1 1/6 cups of almonds.
How many cups of nuts are used in all?
Answer:
5 7/12
Step-by-step explanation:
To get the total amount of nuts used in all, what we do is to add all the fractions together
But we convert them to mixed fraction to make the work easier;
2 3/4 = 11/4
1 2/3 = 5/3
1 1/6 = 7/6
Adding all, we have;
11/4 + 5/3 + 7/6 = (33+ 20 + 14)/12 = 67/12 = 5 7/12
Answer:
4 7/12
Step-by-step explanation:
2 3/4 + (1 2/3 + 1/6) = 2 3/4 + (1 4/6 + 1/6) = 2 3/4 + 1 5/6 = 2 9/12 + 1 10/12 = 3 19/12 = 4 7/12
Hope this helps!!!
2.5 kg of potatoes cost £1.40
Work out the cost of 4.25 kg of potatoes.
5.95
Answer:
£2.38
Step-by-step explanation:
Write and solve an equation of ratios:
£1.40 2.5 kg
----------- = ------------
c 4.25 kg
Cross multiplying, we get:
(£1.40)(4.25 kg) = (2.5 kg*c), or
(£1.40)(4.25 kg)
c = -------------------------- = £2.38
2.5 kg
please answer both questions!! will mark brainly
Answer:
m=2
mean is 13
Determinado automovel, apos sua compra, perde 10% do valor ano a ano nos 3 preimeiros anos. Calcule o valor do automovel ao final desse periodo sabendo que ele foi comprado por R$80.000
Answer:
The value of the car after 3 years is R$58.320.
O valor do carro ao final desse período é R$58.320.
Step-by-step explanation:
The value of the car after t years is given by the following equation:
[tex]V(t) = V(0)(1-r)^{t}[/tex]
In which V(0) is the initial value and r is the yearly depreciation rate.
In this question, we have that:
[tex]V(0) = 80000, r = 0.1[/tex]
So
[tex]V(t) = V(0)(1-r)^{t}[/tex]
[tex]V(t) = 80000(1-0.1)^{t}[/tex]
[tex]V(t) = 80000(0.9)^{t}[/tex]
Value of the car at the end of 3 years:
[tex]V(3) = 80000(0.9)^{3} = 58320[/tex]
The value of the car after 3 years is R$58.320.
O valor do carro ao final desse período é R$58.320.
plzWegnerkolmp2741o helpme plzzzzzzzzzz
Answer:
y = -2 +sqrt(7)
y = -2 - sqrt(7)
Step-by-step explanation:
y^2 +4y +4 = 7
Factor, recognizing that this is the sum of squares
a^2 +2ab+b^2 = (a+b)^2
(y+2) ^2 = 7
Take the square root of each side
sqrt((y+2) ^2) =± sqrt(7)
y+2 = ± sqrt(7)
Subtract 2 from each side
y+2-2 = -2 ± sqrt(7)
y = -2 ± sqrt(7)
Answer:
C)
Step-by-step explanation:
-2+sqrt(7) ≈ 0.649
-2-sqrt(7) ≈ -4.646
each are x-intercepts
A spinner has 5 equal sections numbered 1 to 5. What is the probability of the spinner stopping on a number that is a multiple of 2 or is less than 3?
help!!!!!!!!!plz.....
Answer: 1/5, .2, and or 20%
Step-by-step explanation:
The only multiple of 2 that is less than 3 and greater than 1 is 2, so there is a 1/5, .2 and or 20% chance of this happening
What is the total surface area of the cylinder to the nearest square inch ? Use 3.14 for pi
Answer:
1,300.62
Step-by-step explanation:
The formula for a cylinder is A= 2 pi r h +2 pi r^2
Find the cosine of angle A (written as a fraction)
Answer: 0.92
Step-by-step explanation: cos a = side adj / hypotenuse
Cos a = 12/13 ~ 0.92307
Ellie bought two pairs of shoes during a BOGO (Buy One, Get One) sale. She received a 20% discount on the second pair of shoes. The regular price of each pair of shoes was $49.99. How much did Ellie pay for the two pairs of shoes, excluding tax?
Answer:
89.98
Step-by-step explanation:
49.99 x 20% = 9.998
So, 20% of 49.99 is 10.
49.99 - 10 = 39.99 To get the Total of the discounted item.
49.99 + 39.99 = 89.98 Add final totals to get answer
Write the number for seventy-five million three hundred thousand
The answer is 75,300,000 hope this helps.
helppppppppppppppppp
Answer:
3/4 of an inch
Step-by-step explanation:
The longest plant is 7/8 of an inch
The shortest plant is 1/8 of an inch
7/8 - 1/8 = 6/8
Simplifying = 3/4
What is the coefficient in the following expression?
5a to the 2 power subtracted by 7
a)7
d)2
c)5
b)a
Answer:
c)5
Step-by-step explanation:
Coefficient is always the numerical value before the variable
I hope this helped and have a good rest of your day!
The distributive property can be applied to which expression to factor 12x3 – 9x2 + 4x – 3?
Answer:
3x2(4x – 3) + 1(4x – 3)
Step-by-step explanation:
A cell phone and phone case cost $110 in total. The cell phone costs $100 more than the phone case. How much was the cell phone?
Answer:
105
Step-by-step explanation:
if both together cost $110
and the cell phone cost 100 more than the phone case, we need to find the cost for the phonecase
and it's 105
hope this helped:D
brainliest is appreciated if u want
Answer:
$105 r e
Step-by-step explanation:
For circle P , find QN if LM = ON = 7.
A.
3.5
B.
7.5
C.
14
D.
21
Answer:
A
Step-by-step explanation:
You are just going to have to divide the 7 which gives you 3.5
