Round to the nearest whole number
763.9
Hi there,
please see below for solution steps :
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First let us revise the rounding rules before getting down to the process of rounding :
if the number you're rounding to is followed by a number from 0 to 4, then you drop that number.if the number you're rounding to is followed by a number that's 5 or more, you add 1 to that number.∴\(\sf{763.9 \ to \ the \ nearest \ whole \ number :}\\\hfill\stackrel{\small\text{add 1 }}{3^{+1}}.\\\hfill\stackrel{\small\text{drop it}}{9}}\)
∴\(\sf{763.9\approx764}\)
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please help me with math
Answer:
C. 1056 ft³
Step-by-step explanation:
V = Bh
V = 96 ft² × 11 ft
V = 1056 ft³
in a mixed shape, we can take a trapezium and a triangle. trapezium's base 1= 9cm and base 2= 8cm whereas, the base of the triangle is 5cm and height is 7 cm. Find the area
trapezium
triangle
to find:the area of the give shape.
solution:Trapezium:
\(a = \frac{a + b}{2} h\)
\(a = \frac{8 + 9}{2} \times 16\)
\(a = 136 \: {cm}^{2} \)
Triangle:
\(a = \frac{1}{2} bh\)
\(a = \frac{1}{2} \times 5 \times 7\)
\(a = 17.5 \: {cm}^{2} \)
area of the shape:
\(136 + 17.5\)
\(a = 153.5 \: {cm}^{2} \)
to find the area of the mixed shape, we'll have to add the area of the trapezium and the triangle.
therefore,
\(area \: of \: trapezium = 136 \: {cm}^{2} \)
\(area \: of \: triangle = 17.5 \: {cm}^{2} \)
area of the mixed shape,
\(136 \: cm+ 17.5 \: cm\)
\( = 153.5 \: {cm}^{2} \)
Please help solve #4
Answer:
would it be negative 4
Step-by-step explanation:
you have created a 95 confidence interval for with the result 10.15. What decision will you make if we test H0 : μ = 16 versus H1 : μ ≠ 16 at α = 0.01?a. Reject H0 in favor of H1.
b. Accept H0 in favor of H1.
c. Fail to reject H0 in favor of H1.
d. We cannot tell what our decision will be from the information given.
If we test H₀ : μ = 16 versus H₁ : μ ≠ 16 at α = 0.01, reject H₀ in favor of H₁. The correct answer is (a)
If the confidence interval for the population mean does not contain the hypothesized value in the null hypothesis, then we can reject the null hypothesis in favor of the alternative hypothesis.
In this case, the confidence interval is centered around 10.15, and it does not contain the hypothesized value of 16. Therefore, we can conclude that we have evidence to reject the null hypothesis at a significance level of 0.01 and accept the alternative hypothesis that the population mean is not equal to 16.
It is important to note that this decision is based on the confidence interval and significance level given in the question. If the confidence level or significance level were different, the decision might be different as well.
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Simplify: 10x^2y^3/2xy
Answer:
5xy^2
Step-by-step explanation:
Find the three consecutive even integers such that one half of their sum is between 15 and 21. set up and solve a compound inequality.
The even integers are 10,12 and 14.
Concept: An integer is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+1/2, and √2 are not.
Let x,x+2,x+4 be the least, middle and greatest integer respectively.
According to the question,
15< x+x+2+x+4< 21
(3x+6)/2> 15 and (3x+6)/2< 21
30< 3x+6 3x+6> 42
24<3x 3x<36
8<x x>12
x=10
x+2=12
x+4=14
Hence, The even integers are 10,12 and 14.
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Linear equation of 5x-2y=40 and 2y+10x-6=0
Answer:
linear equation for 2y+10x=60 is y=-5x+30 .. the other one is invalid
Step-by-step explanation:
A factory makes rectangular boxes. The area of the top surface can be modeled by the function: f(x) = 66x^2 + 17x + 1. The width of the top surface can be modeled by the function: g(x) = 6x + 1.
Write an expression, h(x), in standard form that describes the length of the top surface.
Answer in a complete sentence.
Thank you so much in advanced
The length of the top surface is given by h(x) = 11x + 1.
AreaArea is the amount of space occupied by a two dimensional object or figure. The area (A) of a rectangle is given by:
A = length * width
Let h(x) represent the width, hence:
66x² + 17x + 1 = (6x + 1)(11x + 1)
Since the width is g(x) = 6x + 1, hence the length = 11x + 1
The length of the top surface is given by h(x) = 11x + 1.
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13% of a sample of 200 students do not like ice cream. what is the 95% confidence interval to describe the total percentage of students who do not like ice cream?
Using the z-distribution, the 95% confidence interval to describe the total percentage of students who do not like ice cream is:
(8.34%, 17.66%).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which:
\(\pi\) is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.
For this problem, the estimate and the sample size are given, respectively, by:
\(\pi = 0.13, n = 200\)
Hence the bounds of the interval are:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.13 - 1.96\sqrt{\frac{0.13(0.87)}{200}} = 0.0834\)\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.13 + 1.96\sqrt{\frac{0.13(0.87)}{200}} = 0.1766\)As a percentage, the interval is:
(8.34%, 17.66%).
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What is the next term in the geometric sequence below?
3,-6,12,-24,__,...
A.-48
B.48
C.-36
D.36
Answer:
B) 48
Step-by-step explanation:
the sequence SEEMS to be going in a back and forth manner, tripling whichever way it's going.
3,then you add -9, which is -6.
then you have -6, which you add +18 to
etc etc
1. Which of the following is INCORRECT:
Independent random samples arise when ...
a. one random sample is split into groups differing by an observed feature
b. the individuals in a sample are randomly assigned to experimental groups
c. data is recorded repeatedly on a random sample of individuals
d. random samples are selected separately
2. The margin of error of a confidence interval about the difference between the means of two populations is equal to
a. half the width of the confidence interval
b. twice the width of the confidence interval
c. the width of the confidence interval
d. 1.5 times the width of the confidence interval
1. Independent random samples arise when one random sample is split into groups differing by an observed feature is incorrect.
2. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.
1. Independent random samples arise when individuals in a sample are randomly assigned to experimental groups, data is recorded repeatedly on a random sample of individuals, or random samples are selected separately. The statement that one random sample is split into groups differing by an observed feature does not accurately describe independent random samples.
2. The margin of error in a confidence interval represents the range of values within which the true population parameter is likely to fall. It is calculated by taking half of the width of the confidence interval. Therefore, the correct answer is that the margin of error is equal to half the width of the confidence interval.
In summary, the incorrect statement is that independent random samples arise when one random sample is split into groups differing by an observed feature. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.
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what x what = 1600 pls help me
Answer:
80
Step-by-step explanation:
40×40=1600
Go the cal and check it yrself plss
I'm just trying to help
Brainliest plss
If u like to
Thnx_Helperoverhere
Question 4 of 5
A dog trainer compared the mean numbers of lessons for
two groups of dogs to learn a new trick.
Mean number of lessons Mean Absolute Deviation (MAD)
Group A
10
2
Group B 12
Which statement about the data is true?
2
OA. The mean number of lessons for group A is less than the mean for
group B by 1 MAD.
OB. The MAD for group A is less than the MAD for group B.
OC. The mean number of lessons for group A is less than the mean for
group B by 2 MADS.
OD. On average, the dogs in group A required more lessons than the
dogs in group B.
The true statement about the data set is A. The mean number of lessons for group A is less than the mean for group B by 1 MAD.
What is MAD ?The mean number of lessons for group A is 10 and for group B it is 12. The difference between the two means is 2, which is exactly one Mean Absolute Deviation (MAD) in this context, as the MAD is given as 2 for both groups.
So, the mean number of lessons for group A is indeed less than the mean for group B, and the difference is exactly 2, which is equal to 1 MAD in this context.
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Need Help here Please!
Answer:
Step-by-step explanation:
To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:
a) To find the value of \(\sf 3(x - y) \\\):
\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)
b) To find the value of \(\sf 6x - 6y \\\):
\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)
c) To find the value of \(\sf y - x \\\):
\(\sf y - x = - (x - y) = -4 \\\)
Therefore:
a) The value of \(\sf 3(x - y) \\\) is 12.
b) The value of \(\sf 6x - 6y \\\) is 24.
c) The value of \(\sf y - x \\\) is -4.
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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Alyssa wants to play the game. Choose the statement below that is correct in all aspects. E(penny) = –0.33 and E(nickel) = 0.33, so she should play with the nickels. E(penny) = 0.5 and E(nickel) = 1.5, so she should play with the nickels. E(penny) = 1.75 and E(nickel) = 1.5, so she should play with the pennies. E(penny) = 2.38 and E(nickel) = 2, so she should play with the pennies
Using the expected value of a discrete distribution, the correct option is given as follows:
E(penny) = 1.75 and E(nickel) = 1.5, so she should play with the pennies.
What is the expected value of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
When 3 coins are tossed, the probabilities are given as follows:
All heads: (1/2)^3 = 0.125.All tails: (1/2)^3 = 0.125.At least one of each: 1 - 2(0.125) = 0.75.Hence the distribution for the penny points is:
P(X = -2) = 0.25.P(X = 3) = 0.75.The expected value for the penny points is:
-2 x 0.25 + 3 x 0.75 = 1.75.
When 2 coins are tossed, the probabilities are given as follows:
All heads: (1/2)² = 0.25.All tails: (1/2)² = 0.25.At least one of each: 1 - 2(0.25) = 0.50.Hence the distribution for the nickel points is:
P(X = -2) = 0.5.P(X = 5) = 0.5.The expected value of nickel points is:
E(X) = -2 x 0.5 + 5 x 0.5 = 1.5.
Due to the higher expected value, she should play with the pennies and the third option is correct.
What is the missing information?
The complete problem is given by the image at the end of the answer;
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Answer:
The answer is C
Step-by-step explanation:
edge
please help me with right answers xoxo
A right triangle is shown in the graph.
Part A: Use the Pythagorean Theorem to derive the standard equation of the circle, with center at (f, g) and a point on the circle at (x, y). Show all necessary math work.
Part B: If (f, g) = (3, –1) and h = 8, determine the domain and range of the circle.
Part C: Is the point (10, –4) inside the border of the circle if (f, g) = (3, –1) and h = 8? Explain using mathematical evidence.
Part A. (x - f)^2 + (y - g)^2 = h^2
Part B. -9 ≤ y ≤ 7
Part C. The point is not on the circle.
Part A: How to find standard equation?In this triangle, the coordinates of the two endpoints of the hypotenuse are (x,y) and (f,g). Let the length of the hypotenuse be h. Then, we have:
h^2 = (x - f)^2 + (y - g)^2
(x - f)^2 + (y - g)^2 = h^2
The standard equation of a circle, with center at (f,g) and radius h.
Part B: How to find domain and range?Substituting (f,g) = (3,-1) and h = 8 into the equation from Part A, we get:
(x - 3)^2 + (y + 1)^2 = 64
This is the standard equation of a circle with center at (3,-1) and radius 8.
(x - 3)^2 = 64 - (y + 1)^2
x - 3 = ±sqrt(64 - (y + 1)^2)
x = 3 ± sqrt(64 - (y + 1)^2)
The expression inside the square root must be non-negative.
-9 ≤ y ≤ 7
Part C:How to find border of the circle ?(x - 3)^2 + (y + 1)^2 = 64
Substituting x = 10 and y = -4, we get:
(10 - 3)^2 + (-4 + 1)^2 = 64
49 + 9 = 64
This is not true, so the point (10,-4) is not on the circle.
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Question to
Questions of 8 Page 3
Lights on the Lake charges $10 per car plus $2 for every person in the car. If the
total charge is represented by T, and the number of people in the car is represented
Write an equation for the cost of each car .
Answer:
T=10c+2p
Step-by-step explanation:
if you use 100 degrees celsius for the temperature of steam in your calculations, how much error do you introdcue if it is actuallly 99
If the actual temperature of steam is 99 °C and is assumed to be 100 °C in calculations, the error introduced can be significant depending on the specific calculations being performed.
Similarly, if the actual temperature of steam is 101 °C and is assumed to be 100 °C, the error introduced can also be significant.
The amount of error introduced when assuming the temperature of steam to be 100 °C instead of the actual temperature of 99 °C or 101 °C depends on the specific calculations being performed.
Similarly, in industrial processes, assuming an incorrect temperature of steam could result in inefficiencies or even safety hazards. Therefore, the difference between the actual temperature of steam and the assumed temperature of 100 °C should not be considered negligible in many cases.
In conclusion, the error introduced by assuming a temperature of 100 °C instead of the actual temperature of steam depends on the specific calculations being performed and can be significant in some cases. It is always best to use accurate and precise measurements in scientific and engineering calculations to minimize the potential for error.
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Complete Question:
1. If you use 100 °C for the temperature of steam in your calculations, how much error do you introduce if it is actually 99 °C or 101 °C? Is this difference negligible?
What is the x and y intercept of y= -2x - 21 ?
To find the x-intercept, we need to set y to zero and solve for x:
0 = -2x - 21
2x = -21
x = -10.5
So the x-intercept is -10.5.
To find the y-intercept, we need to set x to zero and solve for y:
y = -2(0) - 21
y = -21
So the y-intercept is -21.
Therefore, the x-intercept is -10.5 and the y-intercept is -21.
y int = (0, -21)
x int = (-10.5, 0)
solve for them
Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor a function? A. neither a relation nor a function B. both a relation and a function C. function only D. relation only
The equation y = 3x² - 9x + 20 represents
D. relation only
How to find the option that suits the equationA relation is a set of ordered pairs that relate two variables. In this equation, for every value of x, there is only one corresponding value of y. Therefore, each input (x-value) has a unique output (y-value), satisfying the definition of a function.
However, it is not necessarily a function. A function is a relation where each input has exactly one output. In other words, for each value of x, there can only be one value of y.
To determine whether the equation represents a function or not, we need to check if there are any values of x that have more than one corresponding value of y. If there are, then the equation does not represent a function.
for x = 3
y = 3(3)² - 9(3) + 20 = 20
for x = 0
y = 3(0)² - 9(0) + 20 = 20
hence not a function
Therefore, the answer is D. relation only
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complete question
Select the correct answer.
Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor function?
y = 3x2– 9x + 20
A. neither a relation nor a function
B. both a relation and a function
C. function only
D. relation only
You buy a storage rack that holds 40 CDs. You have 27 CDs. Write an inequality that describes how many more CDS you can buy and still have no more CDs than the rack can hoId. You buy 15 CDs. Will they all still fit.
Answer:
x+27 ≤ 40
You cannot buy more than 13
If you buy 15 they will not fit
Step-by-step explanation:
To determine the number of CD's that will still fit
The number of CD's must be less than or equal to 40
You already have 27.
Let x be the number you are going to buy
x+27 ≤ 40
Subtract 27 from each side
x+27-27 ≤ 40
x ≤ 13
You cannot buy more than 13
If you buy 15 they will not fit
Lincoln is throwing a pizza party. He has 77 pounds of cheese available and he needs
1/2 pound of cheese to make each pizza. How many pizzas can he make? plss help asap (multiply ig)
Answer: 154
Step-by-step explanation: trust
The bakers at Healthy Bakery can make 180 bagels in 5 hours. How many bagels can they bake in 22 hours? What was that rate per hour?
Answer:
34
Step-by-step explanation:
Answer:
Step-by-step explanation: 180 bagels
The unit rate, in bagels per hour, is ---------------------- = 36 bagels/hour
5 hours
In 22 hours, the bakery can bake (36 bagels/hour)(22 hours) = 792 bagels
If both pairs of opposite sides of a quadrilateral are congruent, then thequadrilateral is a parallelogram.A. TrueB. False
Answer:
True
Explanation:
A bag contains 20 coloured marbles. Copy and
complete the table below to show the probability of
picking each colour at random and the number of
each colour marble in the bag. What is the
probability, as a percentage (%), of picking a purple
marble at random? How many purple marbles are in
the bag?
Colour
Yellow
Blue
Green
Purple
Probability
10%
15%
Number of marbles
6
Coroline runs 3 1/2 miles in 22 1/4 minutes how many miles does she run per minute
Answer:
To determine the number of miles Coroline runs per minute, we need to first convert the distance she runs to a fraction of a mile and the time it takes her to run that distance to a fraction of an hour.
3 1/2 miles is equivalent to 3 + 1/2 = 3 + 1/(2*1) = 7/2 miles.
22 1/4 minutes is equivalent to 22 + 1/4 = 22 + 1/(4*1) = 23/4 minutes.
To convert the time to hours, we can divide the number of minutes by the number of minutes per hour. There are 60 minutes per hour, so we have:
23/4 minutes / (60 minutes/hour) = (23/4) / (60/4) = 23/60 hours
To determine the number of miles Coroline runs per minute, we can divide the distance she runs by the time it takes her to run that distance:
(7/2 miles) / (23/60 hours) = (7/2) / (23/60) = (760) / (223) = 420/46
Simplifying, we have:
420/46 = 9 1/23
Therefore, Coroline runs approximately 9 1/23 miles per minute.
Step-by-step explanation:
Answer:
she runs 0.078 miles per minute.
Step-by-step explanation:
Log2 x = -5 Write into exponential equation
\(\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log_2(x)=-5\implies 2^{-5}=x\)
Answer:
y=mx+b
Step-by-step explanation:
f ( x ) = 5 ( 2 − x ) , what is the value of f ( − 8 )
Answer:
50
Step-by-step explanation:
solved