Answer:
$10.71
Step-by-step explanation:
$1.19 * 9 = $10.71
A circular pool has a diameter of 24 feet. what is the area of the pool to the nearest tenth of a square foot ?
Answer:
37.7
Step-by-step explanation:
First you would need to find the radius by dividing 24 by 2 which is 12. Then multiply the radius by pie (3.14) and the answer should be 37.68 rounded to the nearest tenth, 37.7.
A jar has 6 red marbles and 4 blue marbles. If 2 marbles are chosen, one at a time without replacement, what is the probability that both marbles will be red
1/3 Probability both are red
red picked first:
6/10
red picked second:
5/9 (9 as first red marble not replaced so 5 red marbles remaining and 4 blue marbles still)
6/10 * 5/10 = 1/3
Hope that helps!!
I need a little help. Stuck in the problem in khan academy and can’t really find and answer. 6 x 4 + 2 x 9/3
Answer:
the answer is 30
Step-by-step explanation:
1: (6*4)+(2*9/3)
2: (6*4)+(2*3)
3: 24+6
4: 30
Answer:
30
Start by multiplying then dividing
factor the linear expression 24y - 40 using the greatest common factor of the terms
help me pls pls pls PPPPPPPPPPPPPPPLLLLLLLLLLLLLLLLSSSSSSSSSSSSSSSSS
Required area = 9× 5 + 6×3
= 45+18
= 63
Help I would love to give you a thanks
Answer:
Formula
Step-by-step explanation:
Answer:
formula because it gives you the number and tells you what to do.
Using 3.14 for , what is the volume of the cylinder?
O A. 21.771 cubic meters
O B. 32.656 cubic meters
O C. 65.312 cubic meters
O D. 169.811 cubic meters
A square has an area of 148.84m2.
Work out the perimeter of the square
Answer:
48.8m
Step-by-step explanation:
Formula for square area = [tex]a^{2}[/tex] = 148.84 [tex]m^{2}[/tex]
=> a = [tex]\sqrt{148.84}[/tex] = 12.2
Formula for square perimeter = 4a = 4 x 12.2 = 48.8 m
The perimeter of the given square is 48.8 m.
What is perimeter of a square?The perimeter of any closed geometrical object is defined as the distance around that object. The perimeter of a square is the distance covered by its four sides. Perimeter surrounds or outlines the shape in a two-dimensional plane.
Since all the sides of a square are equal, therefore, the perimeter of square will be 4 times its side, i.e. 4 × Side. It is measured in units, such as m, cm, in, ft, etc.
According to question,
Given area of a square = 148.84 m²
We all know that,
Area of a square = (Side)²
⇒ (Side)² = 148.84 m²
⇒ Side = √(148.84 m²)
⇒ Side = 12.2 m
Therefore, perimeter of the given square = 4 × Side
= 4 × 12.2
= 48.8 m
Hence the perimeter of a square = 48.8
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Need help quick please
Answer:
line 2
Step-by-step explanation:
on line 2 the two minuses at the end turn into a + (where the -2 is there should be a +2) because - x - = +
Find 110.9% of 133. Round to the nearest hundredth.
Answer:
147.50
Step-by-step explanation:
It is easy to set up the equation as a “butterfly”
x/133 = 110.9/100
cross multiply:
133(110.9)=100x
14749.7=100x ————-divide by 100 to get x alone
147.497 which would round to 147.50
Answer:
147.50
Step-by-step explanation:
BIG BRAIN AND MENTAL MATH
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A speed rate….=constant of proportionality
A number, k……=unit rate
A ratio…………….=slope
Answer:
Step-by-step explanation:
A speed rate = constant of proportionality
A number, k = unit rate
A ratio = slope
The ratio of two similar triangles is 4/5. If a side in the larger triangle is 62, what is the length of the corresponding side in the smaller triangle?
Answer:
[tex]let \: the \: corresponding \: side \: of \: smaller \: triangl e \: be \: of \: length \: x \\ 4 \ratio5 = x \ratio62 \\ \frac{4}{5} = \frac{x}{62} \\ x = 62 \times \frac{4}{5} \\ x = 49.6[/tex]
QUESTION 1
1.1
The sequence 1 ; 5 ; 11 ; 19 ; .......is a quadratic sequence.
1.1.1 Determine an expression for the nth term of the sequence.
(4)
(4)
1.1.2 Which term of the sequence is 2 549?
1.2
The following sequence of numbers is given: -2;-3; -6;-11;
(4)
1.2.1 Determine an expression for the nth term of the sequence.
1.2.2 Explain why the sequence of numbers will never contain a positive term.
(1)
[13]
GESTION 2
The nth terms of sequence 1 ; 5 ; 11 ; 19 is n² + n + -1 and the nth terms of sequence -2;-3; -6;-11; is -n² + 2n -3 .
What is quadratic sequence?The differences (referred to as first differences) between every two successive terms are the same, then it is called an arithmetic sequence (which is also known as a linear sequence). But if the first differences are NOT same, and instead, the second differences are the same, then the sequence is known as a quadratic sequence.
According to the question
The sequence 1 , 5 , 11 , 19
First difference : 4 6 8
Second difference: 2 2
1.1.1>
Now, expression for the nth term of the sequence.
Quadratic equation
ax² + bx + c
at n= 1
a + b + c = 1 -----------------(1)
At n = 2
4a + 2b + c = 5 ------------------(2)
At n = 3
9a + 3b + c = 11 -------------------(3)
solving equation
Subtracting equation (3) from (2)
9a + 3b + c = 11
-4a - 2b - c = -5
5a + b = 6 ----------------------(4)
Subtracting equation (2) from (1)
4a + 2b + c = 5
-a - b - c = -1
3a + b = 4 ---------------------------- (5)
Subtracting equation (5) from (4)
5a + b = 6
-3a - b = -4
2a = 2
a = 1
Putting value in equation (5)
3a + b = 4
3*1 + b = 4
b = 1
Substituting the value in equation (1)
a + b + c = 1
1 + 1 + c = 1
c = -1
Substituting the value in the quadratic equation
x² + x + -1
For nth term
n² + n + -1
1.1.2>
Term of the sequence is 2549
Now,
using the nth term
n² + n + -1 = 2549
n (n+1) = 2550
n (n+1) = 50 * 51
n = 50
1.2> sequence of numbers is given: -2 ,-3 ,-6 ,-11
First difference = -1 -3 -5
Second difference = -2 -2
1.2.1 >
Now , expression for the nth term of the sequence.
Quadratic equation
ax² + bx + c
at n= 1
a + b + c = -2 -----------------(1)
At n = 2
4a + 2b + c = -3 ------------------(2)
At n = 3
9a + 3b + c = -6 -------------------(3)
solving equations
Subtracting equation (3) and (2)
9a + 3b + c = -6
-4a - 2b - c = 3
5a +b = -3 ----------------(4)
Subtracting equation (2) and (1)
4a + 2b + c = -3
-a - b - c = 2
3a + b = -1 -------------------(5)
Now,
Subtracting equation (5) and (4)
5a +b = -3
-3a - b = 1
2a = -2
a = -1
Putting value of a in equation (5)
3*-1 + b = -1
b = 2
Substituting values in equation (1)
-1 + 2 + c = -2
c = -3
nth term
-n² + 2n -3
1.2.2>the sequence of numbers will never contain a positive term.
because its first term is -ve and difference between consecutive term is always -ve. or as per nth term n² is a -ve term .
Hence, the nth terms of sequence 1 ; 5 ; 11 ; 19 is n² + n + -1 and the nth terms of sequence -2;-3; -6;-11; is -n² + 2n -3 .
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How do you know if a number is rational irrational or not real number
Answer:
A rational number can expressed as a whole number, integer, square root, fraction, and more as long as it's not imaginary. However, the number has to be clean like 1/2=0.5, 1/3=0.333, -1, 200. If it is a number that goes on forever and is not repeated like 1.22222, then it's an irrational number like pie-3.14159..., 5/0, 2.201845. If you have an imaginary number- 6i, then this would be considered as non real numbers like x+2, red, wind, and y/7.
Step-by-step explanation:
I hope this helped you!
A vehicle factory manufactures cars. The unit cost C(the cost in dollars to make each car) depends on the number of cars made. If x cars are made, then the unit cost is given by the function C(x)=0.7x^2-420x+81,610. How many cars must be made to minimize the unit cost? Do not round your answer.
Answer:
300 cars must be made to minimize the unit cost
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a>0, the vertex is a minimum point, that is, the minimum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
The cost of producing x cars is given by:
[tex]C(x) = 0.7x^2 - 420x + 81610[/tex]
So a quadratic equation with [tex]a = 0.7, b = -420, c = 81610[/tex]
How many cars must be made to minimize the unit cost?
This is the xvalue of the vertex. So
[tex]x_v = -\frac{b}{2a} = -\frac{-420}{2*0.7} = \frac{420}{1.4} = 300[/tex]
300 cars must be made to minimize the unit cost
Nick has a bag of 30 pieces of candy.
There are an equal number of Nerds, Starburst
& Jolly Ranchers. Only Nick's favorites!
Callie chooses candy randomly from the bag.
.
What is the probability that she will choose a Starburst
or Jolly Rancher?
Answer
2/3
Step-by-step explanation:
there are only 3 kinds of candy here and since they all have a equal number they have a chance of 1/3 each but since it is starburst OR jolly its 2/3
Robin can clean 727272 rooms in 666 days.
How many rooms can Robin clean in 999 days?
rooms
Answer:
1090908 rooms
Step-by-step explanation:
calculator
Answer:
Robin can clean 9828 rooms in 9 days
Step-by-step explanation:
Since Robin can clean 727272 rooms in 666 days, we can find how many rooms she can clean in 1 day by dividing 727272 by 666
number of rooms cleaned by Robin in 1 day = 727272 rooms/666 days = 1092 rooms/day
We can then find how many rooms she can clean in 9 days by multiplying 1092 by 9
1092 rooms/day * 9 days = 9829 rooms
What’s the correct answer for this?
Answer:
6
Step-by-step explanation:
The numerator is the number of apples and the denominator the total number of fruit.
There are 6 apples, then numerator = 6
Answer:
if jasmine writes the fraction of fruit that are apples and does not reduce the fraction...
●6/10
is 2.65 = 53/20 true or false and show work
Answer:true
Step-by-step explanation:
Help on this math question. 25 points.
Answer:
the third one
Step-by-step explanation:
How do I solve this problem?And if a bot puts a link on my question,then what i'm going to do is report the bot.
Ethan rolls the number cube and then spins the arrow on the
spinner. A list of all the possible outcomes is shown.
Answer:
B 1/2
Step-by-step explanation:
This is right
The probability that the sum of the two numbers is odd, given that the product is 6 will be 2/3. Option C is correct.
What is probability?Probability is synonymous with possibility. It is concerned with the occurrence of a random event. Probability can only have a value between 0 and 1.
Ethan cranks the arrow on the spinner after rolling the number cube. There is a list of all conceivable outcomes.
{(1, 1), (1, 2), (1,3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (4,1),(4,2), (4,3), (5, 1), (5,2), (5,3), (6, 1), (6,2), (6,3)}
The no of sets having the sum of the number is odd=9
The no of sets having the product of the number is 6=3
The total number including the two conditions=3+9=12
Probability is found as;
P=12/18
P=2/3
The probability that the sum of the two numbers is odd, given that the product is 6 will be 2/3.
Hence, option C is correct.
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1. Name an example of a real-world data set, not yet mentioned in the course, where you would typically expect to see a normal distribution. Be sure to describe what the labels would be for the horizontal and vertical axis of the display. Then explain why you would expect a normal distribution. What range of data values would you expect to represent 1 standard deviation from the mean? (15 points; 10 for your answer, 5 for response to others' comments.)
Answer:
1.The heights of students in a class, for example, would have a normal distribution. We expect a few students to be extremely tall and a few to be extremely short, but the majority will be in the middle. On the x-axis, we'll have heights, and on the y-axis, we'll have the frequency of the number of students with heights. According to the empirical rule, 68 percent of the data could fall within one standard deviation of the mean.
Find the perimeter of this semi-circle with diameter, d = 52cm.
Answer:
Perimeter = 133.681 cm
or 52.63 inches.
Step-by-step explanation:
"So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius."
let's use, πr + 2r
Diameter: 52
Radius: 26 (RAdius is half of the diameter)
πr + 2r (plug in)
pi x 26 + 2(26)
pi x 26 + 52
= 133.681 cm
or
= 52.63
The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. In a sample of 86 units made with gold wire, 68 met the specification, and in a sample of 120 units made with aluminum wire, 105 met the specification. Let pX represent the population proportion units made with gold wire that meet the specification and let pY represent the population proportion units made with aluminum wire that meet the specification. Find a 95% confidence interval for the difference
Answer:
The 95% confidence interval for the difference is (-0.1888, 0.0202).
Step-by-step explanation:
Difference between proportions:
The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So
In a sample of 86 units made with gold wire, 68 met the specification
This means that:
[tex]pX = \frac{68}{86} = 0.7907[/tex]
[tex]sX = \sqrt{\frac{0.7907*0.2093}{86}} = 0.0439[/tex]
In a sample of 120 units made with aluminum wire, 105 met the specification.
This means that:
[tex]pY = \frac{105}{120} = 0.875[/tex]
[tex]sY = \sqrt{\frac{0.875*0.125}{120}} = 0.0302[/tex]
Difference:
[tex]p = pX - pY = 0.7907 - 0.875 = -0.0843[/tex]
[tex]s = \sqrt{sX^2 + sY^2} = \sqrt{0.0439^2+0.0302^2} = 0.0533[/tex]
Confidence interval:
[tex]p \pm zs[/tex]
In which z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex], with [tex]\alpha[/tex] being 1 subtracted by the confidence level.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Lower bound of the interval:
[tex]p - zs = -0.0843 - 1.96*0.0533 = -0.1888[/tex]
Upper bound of the interval:
[tex]p + zs = -0.0843 + 1.96*0.0533 = 0.0202[/tex]
The 95% confidence interval for the difference is (-0.1888, 0.0202).
what the value of 5'3
A submarine travels 5.5 km due East from its base and then turns and travels due North for 3.4 km.
How far away is the submarine from its base?
Give your answer rounded to 1 DP.
Answer:
6.5km
Step-by-step explanation:
If you make a diagram, you'll see the submarine forms a right angle triangle with the base, where the hypotenuse is the length from the submarine to its base, and 5.5 and 3.4 are the side lengths. To find the hypotenuse, use the formula a^2+b^2=c^2.
5.5^2+3.4^=c^2
41.81=c^2
6.466=c
Round it to one decimal point and you get 6.5km.
Answer:
6.5km
Step-by-step explanation:
I think is this I am not really sure
What is the radian measure of an angle of 230º?
Mason made 5 quarts of salsa. Which of the following can be used to find the number of cups of salsa Mason made.
A: 5x2x5
B: 5x4x4
C: 5 divided by 2 divided by 2
D: 5x4 divided by 2
Answer:
A
Step-by-step explanation:
help me and I’ll give you brainliest
Answer:
r = 16
Step-by-step explanation:
6/6 = r/16
6r = 96
/6 /6
r = 16