Answer:
The probability of 1 or less children from that group to learn how to swim before 6 years of age is 0.072
Step-by-step explanation:
In this case we need to compute the probability of none of these 12 children learns to swim before 6 years of age. This is given by:
p(0) = (1 - 0.312)^(12) = 0.688^(12) = 0.01124
We now need to calculate the probability that one child learns to swim before 6 years of age.
p(1) = 12*0.312*(1 - 0.312)^(11) = 3.744*(0.688)^(11)
p(1) = 3.744*0.01634
p(1) = 0.0612
The probability of 1 or less children from that group to learn how to swim before 6 years of age is:
p = p(0) + p(1) = 0.01124 + 0.0612 = 0.07244
The probability that 1 or fewer of the 12 children will learn to swim before age 6 is approximately 0.072 when rounded to three decimal places.
1. Given:
- Probability that a child will learn to swim before age 6, ( p = 0.312 )
- Number of children, ( n = 12 )
2. Calculating ( P(X = 0) ):
[tex]\[P(X = 0) = \binom{12}{0} (0.312)^0 (1 - 0.312)^{12}\]\[P(X = 0) = 1 \times 1 \times (0.688)^{12}\]\[P(X = 0) \approx (0.688)^{12}\][/tex]
Using a calculator for [tex]\((0.688)^{12}\)[/tex]:
[tex]\[(0.688)^{12} \approx 0.0088\][/tex]
3. Calculating ( P(X = 1) ):
[tex]\[P(X = 1) = \binom{12}{1} (0.312)^1 (1 - 0.312)^{11}\]\[P(X = 1) = 12 \times 0.312 \times (0.688)^{11}\][/tex]
Using the binomial cumulative distribution function (CDF):
[tex]\[P(X \leq 1) = \sum_{k=0}^{1} \binom{12}{k} (0.312)^k (0.688)^{12-k}\][/tex]
Using the binomial probability tables or calculator, we get:
[tex]\[P(X = 0) \approx 0.0088\]\[P(X = 1) \approx 0.0623\][/tex]
Summing these:
[tex]\[P(X \leq 1) \approx 0.0088 + 0.0623 = 0.0711\][/tex]
Thus, the probability that 1 or fewer of the 12 children will learn to swim before age 6 is approximately 0.0711, which rounds to 0.072.
What is the value of b in the equation below?
StartFraction 5 Superscript 6 Over 5 squared EndFraction = a Superscript b
3
4
5
8
Answer:
I think it is 4
Step-by-step explanation:
Answer:
y = 6|x|
Step-by-step explanation:
y = |x|
When we scale vertically, we multiply by a constant
y = a f(x)
We are multiplying by 6
y = 6|x|
Which ratio can be used to solve for y in the triangle below?
sin75/25= sin40/y
sin40/25= sin75/y
sin25/75= siny/40
sin25/40= siny/75
Answer:second one should be correct I took this last year
Step-by-step explanation:
What is the equation for ⊙A?
Answer:
Circumference = 3.14 diameter C = 3.14(6) Answer: 18.84
Step-by-step explanation:
The equation for circle at A is (x+4)²+(y+2)²=9 whose radius is 3 units.
The equation of the circle is (x-h)²+(y-k)²=r²
Where h and k are the coordinates of centre of circle and r is radius of the circle.
From the given figure (h, k) is (-4, -2) and r is 3 units
Plug in these values in the equation of circle.
(x-(-4))²+(y-(-2))²=3²
(x+4)²+(y+2)²=9
Hence, the equation for circle at centre A is (x+4)²+(y+2)²=9 whose radius is 3 units.
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What is 120 decreased by 25%
Answer:
90
Step-by-step explanation:
120 - (25% × 120)
120 - 25% × 120
(1 - 25%) × 120
(100% - 25%) × 120
75% × 120
75 ÷ 100 × 120
75 × 120 ÷ 100
9,000 ÷ 100 = 90
You raise $420 during a fundraising event. The amount of money that you raise is 120% of your goal. How much more did you raise than your goal?
9514 1404 393
Answer:
$70
Step-by-step explanation:
The excess amount is 20% of the goal. The given amount is 120% of the goal, so the proportion of the given amount that is excess is ...
(20% of goal)/(120% of goal) = 1/6
Then the excess is (1/6)($420) = $70.
You raised $70 more than the $350 goal.
The original fundraising goal was $350, and since $420 was raised, which is 120% of the goal, $70 more was raised than the goal.
Explanation:To find out how much more was raised than the goal during the fundraising event, start by understanding the percentage given. The $420 raised is 120% of the goal, which means the goal amount represents 100%. To calculate the original goal, you should divide the amount raised by the percentage raised (expressed as a decimal), so you divide 420 by 1.2 (since 120% as a decimal is 1.2).
Now, calculate the goal amount:
420 / 1.2 = $350
Therefore, the original goal was $350. Since the amount raised was $420, we subtract the goal from the amount raised to determine how much more was raised:
420 - 350 = $70.
Thus, the amount raised exceeded the goal by $70.
Find the x value 2x=6
Answer:
x = 3
Step-by-step explanation:
2x = 6
x = 3 (Because we divide on both sides by 2 so that the x is by itself, 6/2 = 3)
Find the common difference: 1, 201, 401, 601, ... A
The common difference of the arithmetic sequence 1, 201, 401, 601, ... is 200, which is the difference between successive pairs of terms.
Explanation:In Mathematics, the common difference in an arithmetic sequence is the amount by which successive terms increase. In the given series: 1, 201, 401, 601, ..., the common difference can be found by subtracting a term from the term after it. For instance, if we subtract 1 (the first term) from 201 (the second term), we get 200. If we do the same for 201 and 401 (the second and third terms), we also get 200. This means that the common difference for this arithmetic sequence is 200.
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11.
A school club had a T-shirt sale to raise money.
After the sale, an inventory showed that 108 blue
T-shirts and 96 green T-shirts had been sold. The
sizes of these T-shirts included 60 small, 86
medium, and 58 large. Which table correctly
represents these data?
Answer: It is A.
Step-by-step explanation: It's a because all the numbers are in the chart and matches up with it.
The sum of the blue T-shirt is 108 in table number B. Then the correct table is B.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.
A school club had a T-shirt sale to raise money.
After the sale, an inventory showed that 108 blue T-shirts and 96 green T-shirts had been sold.
The sizes of these T-shirts included 60 small, 86 medium, and 58 large.
Then the correct table will be
The sum of the blue T-shirt is 108 in table number B. Then the correct table is B.
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Write an equation of the circle with center (8.-3) and radius 6
Answer:
(x -8)^2 +(y +3)^2 = 36
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r2
Putting your numbers into this form gives ...
(x -8)^2 +(y +3)^2 = 36
i need the answer
PLEASE HELP :) :(
So the answer is 6 km.
Look at the attached picture⤴
Hope it will help u...:)
Answer:
it will be 6km
i just go by 2 like 10, 8, then 6
-Hops
Identify the vertex and axis of symmetry of the function f(x) = -(x + 1)^2 + 2 *
x = -1; (-1, 2)
x = 1; (1, 2)
x = -2; (2, -1)
x = 2; (2, 1)
Answer:
x = -1; (-1, 2)
Step-by-step explanation:
f(x) = -(x + 1)^2 + 2
This is in vertex form
y = a(x-h)^2 +k where the vertex is (h,k) and the axis of symmetry is x=h
f(x) = -(x - -1)^2 + 2
Axis of symmetry is x=-1
Vertex is (-1,2)
area of rectangle:
Area is 21 square units. The Width of rectangle is 5 less than 4 times the length. Find the Dimension.
Write the formula and answer MUST SHOW ALL WORK!
Answer:
its 7 for width and 3 and length
Step-by-step explanation:
L * W = 21
W= 4L-5
find the factors for 21 which is 21 and 1 or 7 and 3. Plug in which one is valified. 7 and 3 are correct.
The probability of rolling a 6 on a biased die is 1/5
Work out the probability of rolling exactly one 6
Answer:
if the probability of a 6 is 1/5, the probability of “not six” is 4/5. The probability of a 6 on the first roll and not on the second is 1/5 x 4/5 = 4/25. The six could come on the second roll so that probability must be doubled. The overall probability of exactly one six is 8/25 or 0.32.
Step-by-step explanation:
1/2(2n+4)+6=-9+4(2n+1)
Answer:
13/7 =n
Step-by-step explanation:
1/2(2n+4)+6=-9+4(2n+1)
Distribute
n +2 +6 = -9 + 8n +4
Combine like terms
n +8 = 8n -5
Subtract n from each side
n+8-n = 8n-n-5
8 = 7n-5
Add 5 to each side
8+5 = 7n-5+5
13 =7n
Divide each side by 7
13/7 = 7n/7
13/7 =n
Answer: n = 13/7 = 1.857
( I hope this is right )
Step-by-step explanation:
Solve the following linear system by graphing
4x+5y=10
3x-3y=21
Answer:
y = 2
x = 5
Step-by-step explanation:
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×4 |
12x + 15y = 30
12x - 12y = 84
____________--
27y = -54
y = -54/27
y = 2
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×5 |
12x + 15y = 30
15x - 15y = 105
____________+
27x = 135
x = 135/27
x = 5
you roll a fair 6-sided die . what is the probability of rolling a 2 .
Answer:
P = 1/6
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
6 sides means 1 in 6 chance for each side
What is the area of triangle ABC?
0 2.5 square units
3 square units
3.5 square units
04 square units
Hurry
Answer:
A = 3 units^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the length of the base and h is the height
b = the distance from B to C = 4 units = 2 ( watch the scale)
h = the distance from A to C along the x axis =6 units = 3 (watch the scale)
A = 1/2 (2)(3)
A = 3 units^2
Explain why a rectangle is a convex quadrilateral
Answer:
this is because of two diagonals which lie in the interior of the rectangle.
The area of a parallelogram is 74, with the base measuring triple the height. If the unknown variable represents the height of the parallelogram, what does each variable in the model represent?
A parallelogram with height h and base b.
h =
b =
Answer:
The answer is A. 88.8 cm2
Work:
74 x 2 = 148
14.8 = 29.6
Add them = 177.6
Step-by-step explanation:
Answer:
h=x
b=3x
Step-by-step explanation:
Just got it right on Edge.
DUE TODAY NEED HELP ASAP! WILL MARK BRAINLIEST TO THE FIRST PERSON WHO ANSWERS
Answer:
1 I would use the news and newspaper maybe
2. I would not use social media like T.T and Inst
That is all I could help with sorry And i could not put real names it would not let me sorry
Step-by-step explanation:
Answer correctly, will mark brainliest answer !!!
Answer:
x-6
Step-by-step explanation:
The formula for the area of a rectangle is (l)(w)
x-5(w)=x²-11x+30
To solve, you need to put the quadratic equation into standard form
x-5(w)=(x-5)(x-6)
Divide both sides of the equation by x-5 to isolate the width(basically strike out x-5 on both sides)
the width is x-6
I pretty sure that's the right answer since (x-5)(x-6)=x²-11x+30, but I'm in geometry right now, and I had to go back and re-learn.
A card is randomly draw from a shuffled
deck of cards and NOT REPLACED. A
second card is drawn from the remaining
shuffled cards. What is the approximate
probability that both cards are FACE
cards?
A. 5%
B. 6%
C. 23%
D. 25%
Answer:5%
Step-by-step explanation:
There are 12 face cards in a deck the chance you draw one are 3/13 and the chance you draw the second card is 4.978%
The sales tax on a $56.00 is 48. that rate, what would be the sales tax on 60.00 worth -
Answer:
51.43
Step-by-step explanation:
im not sure if you typed it correctly but using the above information and setting up the ratio, this is the outcome
Using the slope formula for the points (1, 5) and (2, -2), what would the denominator be? 2 - 1 2 - 5 -2 - 5 -2 - 1\
will mark brainliest
Answer:
2-1
Step-by-step explanation:
Given two points we can find the slope using
m =(y2-y1)/(x2-x1)
= (-2 -5)/(2-1)
= -7/1
= -7
The denominator is 2-1
Answer:
2 - 1
Step-by-step explanation:
Slope = (y2 - y1)/(x2 - x1)
= (-2 - 5)/(2 - 1)
= -7
Describe the translation that maps ABCD onto A’B’C’D’
A. Left 6, up 5
B. Left 6 down 5
C. Right 6, up 5
D. Right 6, down 5
Pls don’t do this just for the points.
Answer:
D
Step-by-step explanation:
The translation that maps ABCD onto A’B’C’D’ is Right 6, down 5.
What is the translation of coordinates?Translation on the coordinate plane is sliding a point or figure in any direction without any changes in size or shape.
In fact, during translation, the coordinates of the vertices of a figure or point change, and they slide left or right, up, or down without changing size or shape.
The translation that maps ABCD onto A’B’C’D’ is;
Shift ABCD to the right side by 6 units then shifted down by 5 units to get A'B'C'D'.
ABCD moved ( 6 units ) times to the ( right), and ( 5 units ) times to the ( bottom) to convert into A'B'C'D'.
Hence, the translation that maps ABCD onto A’B’C’D’ is Right 6, down 5.
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lung cancer kills about 3,000 people per day. if 90% of the deaths from luung cancer are attributted to smoking, what is the rate of people who die from smoking each day?
Answer:
2700!
Step-by-step explanation:
hope that helped <3
If a = -3 find the value of 2a
Answer:
2a= -6
Step-by-step explanation:
a= - 3
2a= 2(-3)= -6
Answer:
-6
Step-by-step explanation:
-3×2=-6
James’s four-year-old brother is trying to arrange black and yellow Legos in rows. He has 56 yellow Legos and 120 black Legos. He wants to arrange them in rows so that there are either only yellow or only black Legos in each row, and so that each row has the same number of Legos. What is the least number of rows he can make?
Answer:
22
Step-by-step explanation:
The four-year-old brother can arrange the Legos in rows of 8.
Explanation:To find the least number of rows the four-year-old brother can make with the black and yellow Legos, we need to determine the greatest common divisor (GCD) of 56 and 120. The GCD will represent the number of Legos in each row.
To find the GCD, we can use the Euclidean algorithm. Divide the larger number (120) by the smaller number (56). The remainder is 8. Then, divide the smaller number (56) by the remainder (8). The new remainder is 0.
Therefore, the GCD of 56 and 120 is 8. This means that the four-year-old brother can arrange the Legos in rows of 8, with 7 rows of black Legos and 1 row of yellow Legos, or vice versa.
What is the probability of a die landing on an even number on the first toss, and then an odd number on the second toss?
Dice- 6 sides
Please help
Answer:
i dotn know sorry
Step-by-step explanation:
and this is why brainly is bad
Answer:
1/4 chance
Step-by-step explanation:
Number of even numbers on a die-3
Number of odd numbers on a die-3
a die has 6 sides,
therefore
1/2 of the numbers on a die are even and 1/2 are odd
so a 3/6 chance (1/2 chance (simplify)) of landing on an even number on the first roll
And a 3/6 chance (1/2 chance (simplify)) of landing on an odd number on the second roll
Multiply the two together and a 9/36 chance of this event or simplified to a 1/4 chance of this event
Match each equation to the situation it represents. Situation Equation An adult and 5 55 children rent skates. It costs $ 4 $4dollar sign, 4 per adult for skates and a total of $ 16 $16dollar sign, 16. It costs Mikael $ 4 $4dollar sign, 4 to make a bike bag, and he sells each for $ 5 $5dollar sign, 5. He has made a profit of $ 16 $16dollar sign, 16 so far. It was 16 ° C 16°C16, degree, start text, C, end text. It began falling 4 ° C 4°C4, degree, start text, C, end text per hour until it reached 5 ° C 5°C5, degree, start text, C, end text. 16 − 4 x = 5 16−4x=516, minus, 4, x, equals, 5 ( 5 − 4 ) x = 16 (5−4)x=16left parenthesis, 5, minus, 4, right parenthesis, x, equals, 16 4 + 5 x = 16 4+5x=164, plus, 5, x, equals, 16
Answer:
1. C.
2. B.
3. A.
Step-by-step explanation:
First situation given:
An adult and 5 children rent skates. It costs $ 4 per adult for skates and a total of $ 16.
Correct equation: C
4 + 5 x = 16
Second situation given:
It costs Mikael $ 4 to make a bike bag, and he sells each for $ 5. He has made a profit of $ 16, so far.
Correct equation: B
( 5 − 4 ) x = 16
Third situation given:
It was 16°C. It began falling 4°C per hour until it reached 5°C.
Correct equation: A
16 − 4 x = 5
Equations are matched to situations based on the context provided: the adult and children renting skates is described by 4 + 5x = 16, Mikael's profit from selling bike bags fits the equation (5 - 4)x = 16, and the temperature dropping over time corresponds to 16 - 4x = 5.
To match each equation to its corresponding situation, let us consider each situation and then associate the relevant equation.
Adult and children renting skates: An adult rents skates at $4, and the total cost including 5 children is $16. The equation representing the total cost is the adult's cost plus 5 times the children's cost equals $16, which is: 4 + 5x = 16.
Mikael making a profit from bike bags: Mikael spends $4 to make a bike bag, sells it for $5, and has made a profit of $16. To determine how many bags he sold (x), we can use the equation that accounts for profit, which is the selling price minus the cost of making the bag, multiplied by the number of bags, equals the profit: (5 - 4)x = 16.
Temperature drop: The temperature started at 16°C and dropped at a rate of 4°C per hour until it reached 5°C. To find the number of hours (x) it took for the temperature to drop, we can use the equation that links the initial temperature, minus the drop per hour times the number of hours, equals the final temperature: 16 - 4x = 5.
Now, we can clearly match the equations to their situations:
The situation where an adult and children rent skates corresponds to the equation 4 + 5x = 16.
Mikael making a profit from selling bike bags is represented by the equation (5 - 4)x = 16.
The decrease in temperature over time until it reached 5°C is described by the equation 16 - 4x = 5.