In the number 5.3779, how does the value of 7 in the hundredths place compare to the value of the 7 in the thousandth place?
Options are in the picture:
*Show work*
Answers
Answer:
(b)
Step-by-step explanation:
The hundredths place is immediately to the left of the thousandths place. In our base-10 number system, moving a digit to the left one place increases its value by a factor of 10.
The value of 7 in the hundredths place is 10 times the value of 7 in the thousandths place.
Answer:
The value of the 7 in the hundredth place is 10 times the value of the 7 in the thousandth place.
Step-by-step explanation:
Related Questions
Without doing any computation, put the following in order from least to greatest, assuming the population is normally distributed with = 300 and o = 20. (a) P(2855X 315) for a random sample of size n = 50 (b) P(285 ss315) for a random sample of size n=40 (c) P(285 SXS 315)
Answers
The probabilities can be ordered from least to greatest as: (b) P(285 < X < 315) for n = 40, (c) P(285 ≤ X ≤ 315), and (a) P(2855 > X > 315) for n = 50.
To compare the probabilities, we need to consider the sample size and the type of inequality used in each probability.
For probability (b) P(285 < X < 315) with a sample size of n = 40, we are looking for the probability that the sample mean falls between 285 and 315. Since the sample mean distribution follows the same mean as the population, but with a reduced standard deviation (σ/√n), the probability of this range is higher compared to the other two probabilities.
For probability (c) P(285 ≤ X ≤ 315), the inequality includes the endpoints. This means that the probability includes the values of 285 and 315. Considering the same sample size of n = 40, this probability will be slightly lower than (b) since it covers a wider range.
For probability (a) P(285 > X > 315) with a sample size of n = 50, the inequality includes the exclusive endpoints, meaning that the values of 285 and 315 are not included. Since the sample size is larger compared to (b), the probability of this range will be lower than both (b) and (c).
Therefore, the probabilities can be ordered from least to greatest as: (b) P(285 < X < 315) for n = 40, (c) P(285 ≤ X ≤ 315), and (a) P(2855 > X > 315) for n = 50.
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due today pls answer like
ASAPP
Answers
Answer: 616
Step-by-step explanation:
Multiply 11 times7= 77 then 77 times 8 which is 616
Answer:
126.5cm squared
Step-by-step explanation:
To find the area of the shaded figure, divide the shape into two: a triangle and a rectangle.
The rectangle's area is found by multiplying its length and width:
\(11 * 8 = 88 cm^2\)
The triangle's area is found by this formula:
\(\frac{1}{2} (base*height)\)
Deduced from the image, the height of the triangle is 7 cm.
Substituting:
\(\frac{1}{2} (11*7) = 38.5cm^2\)
Add the two areas together:
\(88 + 38.5 = 126.5cm^2\)
The area of the shaded figure is 126.5cm squared.
(2x + 7y) (4x – 8y)
Answers
Answer:
= 8x^2 + 12xy − 56y^2
Step by step:
(2x+7y)(4x−8y)
=(2x+7y)(4x+−8y)
=(2x)(4x)+(2x)(−8y)+(7y)(4x)+(7y)(−8y)
=8x^2−16xy+28xy−56y^2
=8x^2+12xy−56y^2
Please solve
1/3 (b+6)=1/4b +8
Answers
b=72
Explanation:
1/3(b+6)=1/4b+8
Distribute 1/3 into the parentheses
1/3b+2=1/4b+8
Move like terms to either side
1/3b-1/4b=8-2
1/12b=6
Divide both sides by 1/12 to isolate b
b=6/ 1/12
Dividing a fraction is the same thing as multiplying its flip
b=6(12)
b=72
I hope this helps! Please comment if you have any questions.
which of the following describes a scenario in which a chi-square goodness-of-fit test would be an appropriate procedure to justify the claim? responses a statistician would like to show that one geographical location has a higher proportion of dogs that shed than another geographical location has. the statistician has two independent random samples of dogs from two different geographical locations and has recorded the proportion of dogs that shed in each sample. a statistician would like to show that one geographical location has a higher proportion of dogs that shed than another geographical location has. the statistician has two independent random samples of dogs from two different geographical locations and has recorded the proportion of dogs that shed in each sample. a principal would like to investigate whether more than 50% of the students in a local high school eat in the school cafeteria. the principal has a random sample of individuals within the school and records the proportion of the students who eat lunch in the school cafeteria. a principal would like to investigate whether more than 50% of the students in a local high school eat in the school cafeteria. the principal has a random sample of individuals within the school and records the proportion of the students who eat lunch in the school cafeteria. a campaign manager would like to show that the distribution of individuals within several social economic categories is different than what a newspaper reported. the campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories. a campaign manager would like to show that the distribution of individuals within several social economic categories is different than what a newspaper reported. the campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories. a manager of a water treatment plant would like to investigate whether there is a relat
Answers
a) The campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories.
b) A Chi-Square goodness of fit test.
a) A campaign manager would like to show that the distribution of individuals within several social economic categories is different than what a newspaper reported and that's why we know that the campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories.
Chi-Square goodness of fit is used to find out how the observed value of a given phenomenon is significantly different from the expected value. In Chi-Square goodness of fit test, the sample data is divided into intervals.
In this case, we have one categorical variable which is the distribution of individuals within several social groups. We want to see if the actual distribution of the variable is significantly different from the distribution within several social groups as claimed(expected) by the newspaper.
Hence, we will use chi-square goodness of fit test for this case.
b) A Chi-Square goodness of fit test.
Here the variable is the distribution of individuals purchasing season pass at an amusement park. The variable has 4 categories based on the age group of the individuals.
A tourist company wants to test the actual distribution of individuals within each age group and wants to check if it is significantly different from the expected distribution i.e the one claimed by the amusement park.
The tourist company randomly sampled 200 individuals entering the park.
The proportion of individuals within each group as claimed by the amusement park is given.
Hence, we will use chi-square goodness of fit test to test if the actual distribution within each group is significantly different or not from the claimed distribution.
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Say you have 64 instances of an object. Provided you had to use one of them every 1.5 seconds, how many seconds would you have until you ran out of that object? What is the equation for this? (Is it just 64 x 1.5?)
Answers
Answer:
Yes, it is 64 x 1.5 = 96 seconds until you run out of that object.
A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius 9 cm. Find the volume of the ring-shaped solid that remains.
Answers
The volume of the ring-shaped remaining solid is 1797 cm³.
The volume is the total space occupied by an object.
The volume of a sphere of radius r units is given as (4/3)πr³.
The volume of a cylinder with radius r units and height h units is given as πr²h.
In the question, we are asked to find the volume of the remaining solid when a sphere of radius 9cm is drilled by a cylindrical driller of radius 5cm.
The volume will be equal to the difference in the volumes of the sphere and cylinder, where the height of the cylinder will be taken as the diameter of the sphere (two times radius = 2*9 = 18) as it is drilled through the center.
Therefore, the volume of the ring-shaped remaining solid is given as,
= (4/3)π(9)³ - π(5)²(18) cm³,
= π{972 - 400} cm³,
= 572π cm³,
= 1796.99 cm³ ≈ 1797 cm³.
Therefore, the volume of the ring-shaped remaining solid is 1797 cm³.
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Which of the following graphs has a slope of negative two thirds and a y-intercept of 2? graph of a line passing through the points 0 comma 2 and 3 comma 0 graph of a line passing through the points 0 comma 2 and 2 comma negative 1 graph of a line passing through the points 0 comma 3 and 2 comma 0 graph of a line passing through the points 0 comma 3 and 3 comma 1
Answers
The graph of a line which has a slope of -2/3 and y-intercept of 2 is passing through the points (0, 2) and (3, 0)
What is slope?The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Given that, we need to find the graph of a line which have a slope of -2/3 and y-intercept of 2,
Formula for slope = (y₂-y₁) / (x₂-x₁)
1) (0, 2) and (3, 0)
Slope = 0-2 / 3-0
= -2/3
Now, find the equation,
The equation of a line passing two points is given by =
y-y₁ = (y₂-y₁) / (x₂-x₁) (x-x₁)
y-2 = -2/3 (x-0)
y-2 = -2x/3
y = -2x/3 + 2
Comparing with slope-intercept form,
y = mx + c, where m is the slope and c is the y-intercept,
So, we get, slope (m) = -2/3 and y-intercept (c) = 2
Hence, the graph of a line which has a slope of -2/3 and y-intercept of 2 is passing through the points (0, 2) and (3, 0)
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Find the number of tiles required to be put in a floor with dimensions 25 m x 20 m. Each tile is a rhombus with side 25 cm altitude 10 cm
Answers
Answer:
8000
Step-by-step explanation:
Area of floor=25×20m
=500²
Area of each tile=area if each rhombus
=25×25=625cm²
No. of tiles required= area of floor/ area of each tile
=500×104⁴/ 625
=4/5 ×10×1000
=8000
hope it helps!
Which statement best describes the polynomial?
13y8-4y7+3y
It is in standard form because the coefficients are in order from highest to lowest.
It is in standard form because the exponents are in order from highest to lowest.
It is in standard form because there is no constant.
It is in standard form because the coefficients cannot be further simplified.
Answers
Answer:
b) Its in standard form because the exponents are in order from highest to lowest..
Step-by-step explanation:
A polynomial in a standard form is a polynomial arranged in a sequence from the term containing the highest degree to the one containing the lowest...
Answer:
b. It is in standard form because the exponents are in order from highest to lowest.
Step-by-step explanation:
took the test
which graph of ordered pais shows a proportional relationship? i need help lol
Answers
WILL GIVE BRAINLIEST
Which expression correctly represents "nine less than the quotient of a number and four, increased by three”?
A. N/4 - 9 + 3
B. 4/N - 9 + 3
C. 9 - n/4 + 3
D. 9 - 4/n + 3
Answers
Answer:
c
a fraction bar Is just a division bar, it's c.
The total cost to develop camera pictures is proportional to the number of pictures being made. Maria paid 5.50 for 50 pics made. What number represents the constant in this proportional relationship.
Answers
Answer: 0.11
Step-by-step explanation:
Suppose y represents the cost, x represents the number of pictures, then y=kx {positive proportional function}
when x=50, y=5.5
5.5=50k
k=5.5/50
k=55/500
k=0.11
7. sheri and nikita are among 28 contestants in a talent show. if contestants are called at random toperform, what is the probability that sheri is chosen first and nikita is chosen second?
Answers
The probability that Sheri is chosen first and Nikita is chosen second is 1/756.
The probability of Sheri being chosen first is 1/28, since there are 28 contestants and each one has an equal chance of being chosen first.
After Sheri has been chosen, there are 27 remaining contestants, so the probability of Nikita being chosen second is 1/27, since there are now only 27 contestants left and each one has an equal chance of being chosen second.
To find the probability of both events happening together (Sheri being chosen first and Nikita being chosen second), we multiply the probabilities of each event
= 1/28 x 1/27
Multiply the numbers
= 1/756
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a random sample of size is selected from a population with . a. what is the expected value of (to decimals)?
Answers
In the simple random sample, the expected value id 0.40.
What is a simple random sample?In statistics, a simple random sample is a subset of individuals selected at random from a larger population with an equal probability of selection. This technique involves picking a sample at random.Major advantages include its impartiality and simplicity. Some of the disadvantages include the challenge of acquiring a list of a larger population, the time commitment, the expense, and the potential for bias to still exist.So, a population with p = 0.40 is chosen at random, with a size of 100.
So, 0.40 is the anticipated value.
Therefore, in the simple random sample, the expected value id 0.40.
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Complete question:
A simple random sample of size 100 is selected from a population with p = .40.
What is the expected value of pbar? Hint: The expected value of pbar is just the center of the sampling distribution of pbar.
No links will make brainleist
In how many different ways can you line up 6 cards on a table?
Answers
Answer:
720 ways
If you've got six cards you can arrange them in 6! ways = 720 ways.
Step-by-step explanation:
thank me later
Suppose that a sample is taken from a population whose mean value is 80. As the sample size increases, which value will the sample mean approach?
Answers
It can be certain that if you take a large enough sample, the sample mean will be extremely near to the genuine population mean.
Given that,
The mean value = 80
We know that,
The mean is the average or computed center value of a group of numbers that is used to determine the data's central tendency.
The statistical measure of central tendency recognizes the full set of data or distribution with a single value. It gives a precise description of the entire data set.
The mean may alternatively be defined in statistics as the ratio of the sum of all observations to the total number of observations.
As the sample size grows, the sample mean approaches the population mean of 80.
In statistics,
This is known as the rule of big numbers,
Which asserts that as sample size rises,
The sample mean becomes closer and closer to the population mean. This occurs because a bigger sample size increases the possibility that,
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#
f(x) = x
f(x) = 3
5
6
f(x)=3-x
f(x) = 1
Domain
3
0
x=2
2
f(x) = 2
Function Equation
f(x) = 5-x
Answers
f(x) = x is a simple linear function with a slope of 1, f(x) = 3 5 6 is a constant function, f(x) = 3-x is a linear function with a negative slope of -1, f(x) = 1 is a constant function, f(x) = 2 is a constant function
What is a constant function?A constant function is a mathematical function whose output value is the same for every input value
From the given parameters, f(x) = x is a simple linear function with a slope of 1, this implies that for every unit increase in x, the value of y increases by 1.
Also, f(x) = 3 5 6 is a constant function, where the value of y is always 3 5 6, regardless of the value of x.
In the same way, f(x) = 3-x is a linear function with a negative slope of -1, which means that for every unit increase in x, the value of y decreases by 1. The fourth function f(x) = 1 is a constant function, where the value of y is always 1, regardless of the value of x.
The domain of the fifth function is 3 0, which means that x can take any value between 3 and 0.
The sixth function f(x) = 2 is a constant function, where the value of y is always 2, regardless of the value of x.
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SOLVE THESE AND ILL GIVE YOU BRAINLYIEST -_-
Answers
A number is raised to the 4 th power, then divided by half the of the original number, and finally increased by 141/2. If the result is 100, what was the orginal number
Answers
Answer:
the number is 2.45
Step-by-step explanation:
let the original number = n
\(\frac{n^4}{n/2} = \frac{2n^4}{n} = 2n^3\\\\2n^3 + \frac{141}{2} = 100\\\\4n^3 + 141= 200\\\\4n^3 = 200 - 141\\\\4n^3 = 59\\\\n^3 = \frac{59}{4} \\\\n^3 = 14.75\\\\n = \sqrt[3]{14.75} \\\\n = 2.45\)
Therefore, the number is 2.45
helppppppppppppppppppppppppppppppppppppp
Answers
Answer:
D. \(x^2 - 4x - 12.\)Step-by-step explanation:
Given expression:
(x - 6)(x + 2) =Solve to get the power:
(x - 6)(x + 2)= (x - 6)\(x^2\)= \(x^2 - 4x - 12\).Your answer is D.
Please help me solve the question from below. It is from IM3 Algebra
Answers
The equation log₂(x - 1) = x³ - 4x has one solution at x = 2.
To determine the solutions to the equation log₂(x - 1) = x³ - 4x, we can set the two expressions equal to each other:
log₂(x - 1) = x³ - 4x
Since we know that the graphs of the two functions intersect at the points (2, 0) and (1.1187, -3.075), we can substitute these values into the equation to find the solutions.
For the point (2, 0):
log₂(2 - 1) = 2³ - 4(2)
log₂(1) = 8 - 8
0 = 0
The equation holds true for the point (2, 0), so (2, 0) is one solution.
For the point (1.1187, -3.075):
log₂(1.1187 - 1) = (1.1187)³ - 4(1.1187)
log₂(0.1187) = 1.4013 - 4.4748
-3.075 = -3.0735 (approx.)
The equation is not satisfied for the point (1.1187, -3.075), so (1.1187, -3.075) is not a solution.
Therefore, the equation log₂(x - 1) = x³ - 4x has one solution at x = 2.
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A pan balance has 3 cubes on one pan and 11 cubes on the other pan. Lucky thinks she should add 7, 8, 9, or 10 cubes to make the pan balance. How can you use the equation 3+c=11 to find the number of cubes Lucy should add
?
Answers
The number of cubes Lucy should add is 8.
In mathematics, an equation is a formula that expresses the equivalency of two expressions, by connecting them with the equals sign = .
Given that, a visage balance has 3 cells on one visage and 11 cells on the other visage.
The equation to represent the situation is 3 c = 11
The result of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Now, c = 11- 3
c = 8
thus, the number of cells Lucy should add is 8.
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Use a double-angle formula to rewrite the expression. 8 sin x cos x = Use a double-angle formula to rewrite the expression. 14 cos²x - 7=
Answers
The double-angle formula is 7 cos2x for the expression 14 \(cosx^{2}\) - 7.
Double-angle formulas are used to express sin 2x, cos 2x, and tan 2x in terms of sin x, cos x, and tan x.
The formulas can also be used to re-write and simplify trigonometric expressions.
Let us find a double-angle formula to rewrite the expression
8sin(x)cos(x).
The double-angle formula for sin 2x is given by:
sin 2x = 2 sin x cos x
⇒ sin x cos x = ½ sin 2x
Therefore,
8 sin x cos x = 4 (sin 2x)
Therefore,
8 sin x cos x = 4 sin 2x
Now, let's find a double-angle formula to rewrite the expression 14 cos²x - 7.
The double-angle formula for cos 2x is given by:
cos 2x = cos²x - sin²x
⇒ cos²x = ½ (1 + cos 2x)
Therefore, 14 cos²x - 7
= 14 (½ + ½ cos 2x) - 7
= 7 cos 2x
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Find the value of each trigonometric ratio
Answers
The values of each trigonometric ratio are:
cos C = 8/17sin C = 40/41tan Z = 3/4Trigonometry is a branch of mathematics. Ratios of sides in a right-angled triangle are known as Trigonometric ratios. There are six trigonometric ratios- sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), cosecant(cosec).
Let θ be the angle of the right-angled triangle then,
sin θ = opposite side/hypotenuse or 1/cos θcos θ = adjacent side/hypotenuse or 1/sin θtan θ = opposite side/hypotenuse or sin θ/cos θAs per the given problems,
Problem (3)⇒ cos C = \(16/34\) (∵ cos θ = adjacent side/hypotenuse)
= \(8/17\)
2. Problem (4)
⇒ sin C = \(40/41\) (∵ sin θ = opposite side/hypotenuse)
3. Problem (5)
⇒ tan Z = \(21/28\) (∵ tan θ = opposite side/hypotenuse)
= \(3/4\)
Therefore, cos C = 8/17, sin C = 40/41, tan Z = 3/4.
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The value of each trigonometric ratio are cos c 8/17, sin c 40/41, tan z 3/4Trigonometry is a branch of mathematics. Ratios of sides in a right-angled triangle are known as Trigonometric ratios.
Find Trigonometric ratio?Trigonometry is a branch of mathematics. Ratios of sides in a right-angled triangle are known as Trigonometric ratios. There are six trigonometric ratios- sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), cosecant(cosec).
The values of each trigonometric ratio are:
cos C = 8/17
sin C = 40/41
tan Z = 3/4
Let θ be the angle of the right-angled triangle then,
sin θ = opposite side/hypotenuse or 1/cos θ
cos θ = adjacent side/hypotenuse or 1/sin θ
tan θ = opposite side/hypotenuse or sin θ/cos θ
As per the given problems,
Problem (3)
⇒ cos C = (∵ cos θ = adjacent side/hypotenuse)
2. Problem (4)
⇒ sin C = (∵ sin θ = opposite side/hypotenuse)
3. Problem (5)
⇒ tan Z = (∵ tan θ = opposite side/hypotenuse)
Therefore, cos C = 8/17, sin C = 40/41, tan Z = 3/4.
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Solve 2^{3-x} + 2^{x+1} =17
Log x + log (x+3) = 1
Answers
To solve the equation \(2^{3-x} + 2^{x+1} = 17\) and the equation log x + log (x+3) = 1, We get the solution to the system of equations is x = 2. To check if x = 2 satisfies the first equation \((2^{3-x} + 2^{x+1} = 17).\)
Solve the first equation, \(2^{3-x} + 2^{x+1} = 17.\) Rewrite the equation as\(2^{3-x} = 17 - 2^{x+1}.\) Take the logarithm of both sides (base 2): \(3-x = log2(17 - 2^{x+1})\). Rewrite the equation as \(x = 3 - log2(17 - 2^{x+1}).\)
Solve the second equation, log x + log (x+3) = 1. Combine the logarithms: log(x(x+3)) = 1. Remove the logarithm by taking the exponent of both sides: x(x+3) = 10. The equation: x^2 + 3x = 10. Rearrange to form a quadratic equation:\(x^2 + 3x - 10 = 0.\)
Factor the quadratic equation: (x+5)(x-2) = 0. Set each factor to zero: x+5 = 0 or x-2 = 0. Solve for x: x = -5 or x = 2. The solutions. Check if x = -5 satisfies the first equation \((2^{3-x} + 2^{x+1} = 17).\)(\(2^{3-x} + 2^{x+1} = 17)\). If it does not, discard it.
The solution to the system of equations is x = 2.
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use the information to find the value cot 0 =
Answers
The tangent function is given by:
\(\tan (\theta)=\frac{opposite}{_{\text{ }}adjacent}=\frac{5}{12}\)Since the angle is in the 3rd quadrant the opposite side and the adjacent side are negative. So, the cotangent function is given by:
\(\cot (\theta)=\frac{1}{\tan (\theta)}=\frac{adjacent}{_{\text{ }}opposite}=\frac{-12}{-5}=\frac{12}{5}\)Answer:
12/5
If n is an integer, what is the possible value of n for which 1,116n is the square of an integer? Explain.
E. 24
F. 28
G. 31
H. 33
Answers
Answer:
G.31
Step-by-step explanation:
when n = 31
1116n = 1116*31 = 34596
34596 is square of 186.
= 186^2
= 34596
and other values (24,28,33) of n does not give square during 1,116n but 31 gives.
Hence, 31 is the possible value of n for which 1,116n is the square of an integer(186).
What is the length of the missing leg? if necessary, round to the nearest tenth.
Answers
The length of the missing leg for the right triangle is 16 yd using the Pythagoras rule.
What is the Pythagoras rule?The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Pythagoras rule we can evaluate for b as follows:
65² = 63² + b²
b = √(65² - 63²) {make b the subject}
b = √(4225 - 3969)
b = √256
b = 16
Therefore, the length of the missing leg for the right triangle is 16 yd using the Pythagoras rule.
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Write an inequality that represents the real-world problem. Then select all that apply.
Dominique’s bank balance was less than $20.
The variable in the inequality represents the bank balance.
The inequality symbol needed is >.
The inequality symbol needed is 20.
Answers
Answer:
only the first option is correct
Step-by-step explanation:
Let the bank balance be b
b is less than $20;
This mean ;
b < $20
So let us select the correct options;
a. This is correct
As we can see, b represents the bank balance which is the variable in the inequality
b. This is incorrect
The inequality symbol is <
c. This is incorrect
The inequality symbol needed is not 20
Answer:
1,3,4,5
Step-by-step explanation: