Elsa drove 864 miles in 12 hours.
At the same rate, how many miles would she drive in 8 hours?
Answer:
576 miles
Step-by-step explanation:
Answer:
else will drive 567 miles in 8h
Step-by-step explanation:
take 864÷ 12 to get how many hours she drives in one hour
you get 72
then you take 864÷2 to get how many miles she'll drive in 6h
you get 432
then you take 432 and add 144 or 72 + 72
and you get 567 miles in 8h
hope this helped!!
Subtract: 3/5 from 9/10
How we will subtract it pls tell
Answer:
3/10
Step-by-step explanation:
9/10 - 3/5
cross multiply and make denominators even
45-30/50
15/50
3/10
The TIROS weather satellites were a series of weather satellites that carried television and infrared cameras and were covered by solar cells. If the cylinder-shaped body of a TIROS had a diameter of 42 inches and a height of 19 inches, what was the volume available for carrying instruments and cameras? Round to the nearest tenth. (Lesson 12-4)
The volume available for carrying instruments and cameras in the TIROS satellite is approximately 26229.1 cubic inches.
The volume of a cylinder can be calculated using the formula V = πr^2h, where V represents the volume, r is the radius of the cylinder, and h is the height of the cylinder.
In this case, the diameter of the TIROS satellite is given as 42 inches, so we can calculate the radius by dividing the diameter by 2.
Radius (r) = diameter / 2 = 42 inches / 2 = 21 inches
The height of the satellite is given as 19 inches.
Using the formula V = πr^2h, we can substitute the values and calculate the volume.
V = π(21 inches)^2 * 19 inches
Calculating this expression gives us the volume of the cylinder-shaped body of the TIROS satellite.
Now, let's calculate the volume using a calculator:
V ≈ 3.14159 * (21 inches)^2 * 19 inches
V ≈ 3.14159 * 441 square inches * 19 inches
V ≈ 3.14159 * 8349 square inches
V ≈ 26229.059 square inches
Rounding this value to the nearest tenth, the volume available for carrying instruments and cameras in the TIROS satellite is approximately 26229.1 cubic inches.
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Let X1, X2, ..., Xn be a random sample from a Normal distribution with mean wand variance ? Consider the random variable, X. Which of the following properties are true?
a. For n sufficiently large, the distribution of the sample mean depends on the distribution of the population mean.
b. For any n, the sample mean is exactly normally distributed.
c. On average, the sample mean is equal to the population mean.
d. For any n, the distribution of the sample mean depends on the distribution of the population mean.
e. For any n, the sample mean is approximately normally distributed.
f. For n sufficiently large, the sample mean is exactly normally distributed.
g. For n sufficiently large, the sample mean is approximately normally distributed.
h. The variance of the sample mean is equal to the population variance divided by n.
Answer:
"The variance of the sample mean is equal to the population variance divided by n" is true.
a. For n sufficiently large, the distribution of the sample mean depends on the distribution of the population mean.
e. For any n, the sample mean is approximately normally distributed.
f. For n sufficiently large, the sample mean is exactly normally distributed.
g. For n sufficiently large, the sample mean is approximately normally distributed.
h. The variance of the sample mean is equal to the population variance divided by n.
For a given sample, if n is sufficiently large then the distribution of the sample mean relies on the mean and standard deviation of the population. Hence, the statement, "For n sufficiently large, the distribution of the sample mean depends on the distribution of the population mean," is true.
For any n, the distribution of the sample mean follows the normal distribution with mean µ and standard deviation σ/√n. Hence, the statement "For any n, the sample mean is approximately normally distributed," is true.
For large n, the sample mean approximately follows the normal distribution and for larger n, it exactly follows the normal distribution. Hence, the statement "For n sufficiently large, the sample mean is exactly normally distributed" and the statement "For n sufficiently large, the sample mean is approximately normally distributed" are true.
The variance of the sample mean is equal to the population variance divided by n.
Hence, the statement "The variance of the sample mean is equal to the population variance divided by n" is true.
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9month to 3/2 year express the following in ratio
Answer:
1 : 2
Step-by-step explanation:
in ratios both numerator and denominator should be in same units/measurement
so 3/2 year = 3/2 * 12 months
= 3 * 6
= 18 months
ratio is 9 : 18
1 : 2
Evaluate the expression 5(7 – 4)2 = 3 + 11. (5 points)
14
3
33
26
Answer:
Your answer is 26
I HOPE IT WILL HELP YOU.
Someone please help !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
jeez human -4+1
Hope this helps
could someone plz help me on this :,)
Answer:
C if its a parallelogram than opposite sides are parallel
A simple regression model has the form: = 10 + 2x. As x increases by one unit, then the value of y will increase by:
A simple regression model is a statistical model used to estimate the relationship between two variables. In the model given as y = 10 + 2x, y is the dependent variable and x is the independent variable.
The equation states that the intercept of the regression line is 10 and the slope is 2. The slope of the regression line represents the change in y for every one-unit increase in x.
Therefore, if x increases by one unit, the value of y will increase by 2 units. For instance, if x is 3, then y will be 10 + 2(3) = 16. If x increases by 1 unit to 4, then y will increase by 2 to become 18. The simple regression model helps us to make predictions about the values of y based on different values of x.Overall, the simple regression model is a useful tool for understanding and analyzing the relationship between two variables.
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When a large cake is cut into piece that each weighs 3 ounces, it yields 120 pieces. How many pieces would the cake yield if it were cut into 2- ounce pieces instead
when the cake is cut into \(2\) ounce pieces instead of \(3\) pieces it yields \(180\) pieces.
How to find large cake pieces ?
Given in the question when cake cuts into piece that each weight is \(3\) ounce it yields \(120\)
So original large cake weight is
\(w=120*3\\\\w=360\)
So we can find cake pieces when cake cuts into weight \(2\) each piece
\(pieces=\frac{360}{2}\\=180\)
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The number of messages that arrive at a Web site is a Poisson distributed random variable with a mean of 5 messages per hour. Round your answers to four decimal places.(a) What is the probability that 5 messages are received in 1 hour?(b) What is the probability that 10 messages are received in 1.5 hours?(c) What is the probability that less than 2 messages are received in 1/2 hour?
The probability that 5 messages are received in 1 hour is is 0.1755 ,the probability that 10 messages are received in 1.5 hours is 0.0858 and the probability that less than 2 messages are received in 1/2 hour is 0.2873
Let X shows the number of messages received per hour. The pdf of X is
\(P(X=x)=\) \(\frac{e^{-5}\cdot 5^{x}}{x!},x=0,1,2,3,....\)
Therefore, the probability that 5 messages are received in a single hour is
\(P(X=5)=\frac{e^{-5}\cdot 5^{5}}{5!}=0.1755\)
(b) Number of message received in 1 hour is 5 so number of message received in 1.5 hour is 7.5. So the probability that 10 messages are received in 1.5 hours is
\(P(X=10)=\frac{e^{-7.5}\cdot 7.5^{10}}{10!}=0.0858\)
(c) Number of message received in 1 hour is 5 so number of message received in 1/2 hour is 2.5. So the probability that less than 2 messages are received in 1/2 hour is
\(P(X < 2)=\frac{e^{-2.5}\cdot 2.5^{0}}{0!}+\frac{e^{-2.5}\cdot 2.5^{1}}{1!}=0.2873\)
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what is the solution for 15= -x +10
Answer:
-5
Step-by-step explanation:
15=-x+10
x-10=-15
x=-15+10
x=-5
convert the rectangular equation to polar form and sketch its graph. y = 7
In polar form, the given equation is expressed as r = 7, where r is the distance from the origin to a point on the graph and 7 is the constant radius. The graph of this equation in polar coordinates is a circle centered at the origin with a radius of 7.
The rectangular equation y = 7 represents a line parallel to the x-axis at a constant y-coordinate of 7.
To convert this equation to polar form, we can use the fact that in polar coordinates, the distance from the origin to a point on the graph is denoted by the radius (r), and the angle formed with the positive x-axis is denoted by theta (θ).
Since the equation y = 7 does not involve any variables or angles, the radius remains constant at 7 for all values of theta.
Thus, in polar form, we can represent this equation as r = 7, indicating that the distance from the origin to any point on the graph is always 7 units.
The graph of the equation y = 7 in polar coordinates is a circle centered at the origin, since all points on the graph are equidistant from the origin.
The radius of the circle is 7, which means that all points on the graph are 7 units away from the origin.
The circle does not depend on the angle theta and is symmetric with respect to the x-axis.
Therefore, the graph appears as a complete circle centered at the origin with a radius of 7.
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A beam of light is emitted 8
c
m
beneath the surface of a liquid and strikes the air surface 7.3
c
m
from the point directly above the source. If total internal reflection occurs, what can you say about the minimum possible index of refraction of the liquid? Express in 2
significant figures
The minimum possible index of refraction of the liquid can be determined by applying the laws of refraction and total internal reflection.
According to the given information, the light beam is emitted 8 cm beneath the liquid's surface and strikes the air surface 7.3 cm from the point directly above the source. For total internal reflection to occur, the angle of incidence must be greater than the critical angle, which is the angle at which light rays are refracted at 90 degrees.
Using the laws of refraction, we can calculate the critical angle using the formula sin(critical angle) = n2/n1, where n2 is the refractive index of air (approximately 1.00) and n1 is the refractive index of the liquid. Rearranging the formula, we get n1 = n2/sin(critical angle).
To find the critical angle, we can use the information given: the vertical distance traveled by the light beam is 7.3 cm, and the horizontal distance is 8 cm. The critical angle can be calculated as the inverse tangent of the vertical distance divided by the horizontal distance, i.e., critical angle = atan(7.3/8).
By substituting the values into the formula, we can calculate the minimum possible index of refraction of the liquid as n1 = 1.00/sin(critical angle). The result, rounded to two significant figures, gives the minimum possible index of refraction of the liquid.
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apply the distributive property to factor out the GCF of all three terms 9 - 12x + 6y = ?
Answer:
3(3 - 4x + 2y).
Step-by-step explanation:
Notice that 3 is a factor of 9, -12 and 6.
There's no other "common factor."
Therefore, the GCF is 3 and in factored form the given polynomial is
3(3 - 4x + 2y).
Answer: \(3\left(3-4x+2y\right)\)
Step-by-step explanation:
\(3\cdot \:3+4\cdot \:3x+2\cdot \:3y\)
\(3\left(3-4x+2y\right)\)
Bob's Gift Shop sold 650 cards for Mother's Day. One salesman, Josiah, sold 2% of the cards sold for Mother's Day. How many cards did Josiah sell?
Answer:
13 Mother's Day cards
45 boys and 90 girls are taking Choir this year at Travis Middle School. 20% of the students enrolled have secured solos. How many students have secured solos?
Answer: 27 students
Step-by-step explanation:
First take 45 + 90 = 135 students total
20% = 0.2
Then take 135 times 0.2 = 27 students
what is the point-slope form of a line with slope -4 that contains the point (-2, 3)
Answer:
\(y - 3 = - 4(x + 2)\)
Find the coordinates of point P along the directed line segment AB, from A(-3, 2) to B(5,-4), so
that the ratio of AP to PB is 2 to 6.
The coordinates are P.
\(\textit{internal division of a line segment using ratios} \\\\\\ A(-3,2)\qquad B(5,-4)\qquad \qquad \stackrel{\textit{ratio from A to B}}{2:6} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{2}{6}\implies \cfrac{A}{B} = \cfrac{2}{6}\implies 6A=2B\implies 6(-3,2)=2(5,-4)\)
\((\stackrel{x}{-18}~~,~~ \stackrel{y}{12})=(\stackrel{x}{10}~~,~~ \stackrel{y}{-8}) \implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-18 +10}}{2+6}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{12 -8}}{2+6} \right)} \\\\\\ P=\left( \cfrac{ -8 }{ 8 }~~,~~\cfrac{ 4}{ 8 } \right)\implies P=\left(-1~~,~~\cfrac{1}{2} \right)\)
find the volume v of the described solid s. a frustum of a right circular cone (the portion of a cone that remains after the tip has been cut off by a plane parallel to the base) with height h, lower base radius r, and top radius r
The volume of the described solid, a frustum of a right circular cone, can be calculated using the formula V = (1/3)πh(R^2 + r^2 + Rr), where h is the height, r is the radius of the top base, and R is the radius of the lower base.
To find the volume of the frustum of a right circular cone, we use the formula V = (1/3)πh(R^2 + r^2 + Rr), where h is the height of the frustum, r is the radius of the top base, and R is the radius of the lower base.
In the given description, the top radius is also given as r, which means both the top and lower bases have the same radius. Therefore, the formula simplifies to V = (1/3)πh(2r^2 + Rr).
The volume of the frustum can now be calculated by substituting the given values of h and r into the formula. The resulting expression will give the volume of the described solid, taking into account the dimensions of the frustum.
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Which answers are equal to the expression below? Check all that apply
Answer:
A, B, D, E, F
Step-by-step explanation:
Donny has three times as many candy canes as Marc. Marc has thirty more candy canes than Bob. They have 500 candy canes altogether. How many candy canes does Donny have?
Answer:
318
Step-by-step explanation:
Bob=x
Marc=x+30
Donny=3(x+30)
x+x+30+3x+90=500
5x=500-120
5x=380
x=76
Bob has x = 76
Marc has x+30=106
Donny has 3*112=318
318+106+76=500
How many solutions for the system of equations 4x + 6y = 12,6x +9y = 18
Answer:
infinite number of solutions
Step-by-step explanation:
Given the 2 equations
4x + 6y = 12 → (1)
6x + 9y = 18 → (2)
Equation (2) is a multiple of (1)
Each term has been multiplied by 1.5
Thus the 2 equations are basically the same equation.
This indicates there are infinite solutions to the system
I NEED HELP ✋!!!!!!!!!!!!!!!!!!!L!!!!!!!!!!!!
A piece of string is 28 cm long. It is used to from a square. (a) what is the length of each side of square? (b) what is the area of the square.?
Answer:
7 cm and 49 cm²
Step-by-step explanation:
(a)
A square has 4 equal sides , then
28 cm ÷ 4 = 7 cm
The length of each side of the square is 7 cm
(b)
The area (A) of a square is
A = s² ( s is the side length ) , then
A = 7² = 49 cm²
Answer:
Step-by-step explanation:
Perimeter of square will be equal to the length of the string
Perimeter of square = 28 cm
4*side = 28
Divide both sides by 4
Side = 28/4
Side = 7 cm
b) Area of square = side * side
= 7 * 7
=49 cm²
What is 2/3 - 5 4/5
Answer:
The answer is 5 2/15.
Step-by-step explanation:
Well, you just do 4/5 - 2/3 then add 5 as the whole number.
Can one report both student T test and Mann-Whitney U test to denotes significant difference ?
Yes, both tests can be reported to denote a significant difference. The T-test is used for normally distributed data, whereas the Mann-Whitney U test is used for non-normally distributed data.
Yes, both the Student's T-test and the Mann-Whitney U test can be used to denote a significant difference. The Student's T-test is used to compare the means of two normally distributed samples and determine if the difference in means is statistically significant. The Mann-Whitney U test is used to compare the means of two non-normally distributed samples and determine if the difference in means is statistically significant. Both tests are used to test the null hypothesis that the means of the two samples are the same. If the null hypothesis is rejected, it can be concluded that the difference between the means is statistically significant. Both tests provide a measure of the strength of the evidence against the null hypothesis, which can be used to determine if the difference between the means is significant.
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4.7x2 + 9x = 0
We’re using the quadratic formulas and there is no c in the question. Do you do it and just not put the c in the equation? Or is there another way?
Hey there! I'm happy to help!
In this case c is equal to 0. There is always a, b, and c, but they might be invisible (for example if a is 1 or b or c are 0).
Then you can choose whichever method you like to factor these (completing the square, quadratic formula, factoring, etc.)
The zeros should be 0 and a number that is about -1.9.
Have a wonderful day and keep on learning! :D
2. What is the variable in this expression? 4y-5
Answer:
y
Step-by-step explanation:
A variable is a letter that holds the place of a number. y in this expression matches that description, so it is the variable.
When the equation a – bx = cx + d is solved for x, the result is x = startfraction a minus d over b plus c endfraction. use the general solution to solve 5 – 6x = 8x 17.
x = -6/7 is the value of x that the equation 5 - 6x = 8x + 17 fulfils.
We are given the equation 5 - 6x = 8x + 17.
To solve for x, we can first move all the x terms to one side of the equation and all the constant terms to the other side, as follows:
5 - 17 = 8x + 6x
Simplifying, we get:
-12 = 14x
Dividing both sides by 14, we get:
x = -6/7
So, the solution to the equation 5 - 6x = 8x + 17 is x = -6/7.
We can verify this solution by substituting it back into the original equation and checking that both sides are equal:
5 - 6(-6/7) = 8(-6/7) + 17
Simplifying, we get:
5 + 36/7 = -48/7 + 17
Multiplying both sides by 7, we get:
35 + 36 = -48 + 119
Which is true, so our solution is correct.
Therefore, the value of x that satisfies the equation 5 - 6x = 8x + 17 is x = -6/7.
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