Answer:
30 ft
Step-by-step explanation:
7.5 + 12.5 + 10 = 30 ft
Find a 95% confidence interval for the mean amount of time spent on this ride. Round the values in your confidence interval to two decimal places. The 95% percent confidence interval is
95% confidence interval is 1.96
A confidence interval is defined as the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.
For 95% confidence interval, we will keep 95% area in the center and will divide the remaining area equally on both sides.
From Standard Normal table, P(-1.96 < Z < 1.96) = 0.95, i.e., there is a 95% probability that a standard normal variable, Z, will fall between -1.96 and 1.96.
Hence 95% percent confidence interval is 1.96
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The left and right ends of the normal probability distribution extend indefinitely, never quite touching the horizontal axis. True False
It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.
The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.
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A dune buggy moves through the hallway at 57.4 cm/s. How far does it travel in 4 minutes? Your Answer: Answer units
A dune buggy travels 17,280 cm (centimeters) in 4 minutes.
The distance traveled by a dune buggy moving through a hallway at 57.4 cm/s in 4 minutes is 17,280 cm. Here's how to solve it:
First, convert 4 minutes to seconds:4 minutes x 60 seconds/minute = 240 seconds
The distance traveled by the dune buggy in 240 seconds can be calculated using the formula:
Distance = Speed x Time
Therefore,
Distance = 57.4 cm/s x 240
s = 13,776 cm
Since the distance is required in centimeters, we stop here.
Therefore, the dune buggy travels 13,776 cm in 4 minutes.
However, the question requires units, so the unit is centimeters.
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What is the 3rd equivalent fraction to 1/8
Why the following triangles are congruent!
Answer:
Because the sides BO and MA are marked with one line through the middle, which means those sides are congruent, angle A and Angle O are marked with one line, the angles are congruent, and angles W and N are marked with two lines, which means they are congruent. Therefore the triangles are congruent
Which relation is not a function?
The length of the base of an isosceles triangle is x. The length of a leg is x. The perimeter of the triangle is. Find x.
If the perimeter of the isosceles triangle is 12 cm, then the base of the triangle (x), as well as the length of the triangle leg (x) is 4 cm.
An isosceles triangle is a type of triangle in which two sides have the same length. These two equal sides are referred to as the legs of the triangle, while the remaining side is known as the base.
The perimeter of a triangle is the sum of the lengths of all its sides. In this case, since the triangle is isosceles, the base and one leg have the same length (x), and the other leg also has the same length (x). Therefore, the perimeter of the triangle is 2x + x = 3x. Given that the perimeter of the isosceles triangle is 12 cm, then:
3x = 12
x = 12/3
x = 4
So, the base and legs of the isosceles triangle each have a length of 4 cm.
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Your question seems to be missing the value for the perimeter of the triangle, but I suppose the complete question was:
"The length of the base of an isosceles triangle is x. The length of a leg is x. The perimeter of the triangle is 12 cm. Find x."
Find the component form of the vector that translates A(-4,8) to A'(7,-9)
The component form of the vector that translates A to A' is (11, -17)
A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
In translation, the shape of the figure does not change but its size may change.
Other transformation processes are reflection and rotation.
The component form of the vector is governed by the rule; A' - A
so we subtract corresponding x- coordinates and corresponding y- coordinates
A' - A = (7, -9) - (-4, 8)
= ( 7 - - 4, -9 - 8)
-= ( 11, -17)
In conclusion, the vector that translates A to A' is ( 11, -17 )
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Find the solutions to the equation below.
Check all that apply.
6x² +7x-5=0
A. x= -2
B. x = 5
C. x = -5/
D. x = 1/1/2
Ex= 1/3
O F.x= -1/3
x=-5/3 and x=1/2
Step-by-step explanation:
I think you left out some numbers
Find the value of a' and 'b' if 2/ 7+3√5 =a-b√5
Step-by-step explanation:
Grazie don't forget to follow narin po
Answer:
\(a=\frac{7}{2} \ \ ,\ \ \ b=\frac{3}{2}\)
Step-by-step explanation:
\(\frac{2}{7+3\sqrt{5} } =\frac{2\times \left( 7-3\sqrt{5} \right) }{\left( 7+3\sqrt{5} \right) \left( 7-3\sqrt{5} \right) }\)
\(=\frac{2\times \left( 7-3\sqrt{5} \right) }{7^{2}-\left( 3\sqrt{5} \right)^2 }\)
\(=\frac{2\times \left( 7-3\sqrt{5} \right) }{49-45 }\)
\(=\frac{2\times \left( 7-3\sqrt{5} \right) }{4 }\)
\(=\frac{7-3\sqrt{5} }{2 }\)
\(=\frac{7}{2} -\frac{3}{2} \sqrt{5}\)
Then
a = 7/2
b = 3/2
Can someone please answer quick this is due by 8:19.
Answer:
\(y = \frac{ - 1}{3} x - 8\)
Step-by-step explanation:
slope intercept form is y=mx+b
m is the slope, so it's -1/3 because it goes down one unit and to the right two units. b is -8 because that is the point that it touches the y-axis
Explain how the Distributive Property can be used to solve the equation.
3(x + 4) = 36
Answer:
3(x+4)=36 is the same as 3x+12=36
If 3x+12=36, that means x=8
36-12= 24
24/3=8
Step-by-step explanation:
ly| ≤3
Are the lines on graph at 3 and -3 also part of the answer?
Answer:
Yes, the lines on the graph at 3 and -3 a part of the solution,
Step-by-step explanation:
The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.
Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.
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WILL GIVE BRANLIEST
In each circle, chords AB and CD intersect at point X...
1.) AX = 8 and XB = 5; Find (CX)(XD).
2.) AX = 6, CX = 9, and XD = 2; Find XB.
3.) CX = 16, XD = 4, and AX = XB; Find AB.
Answer:
We have to see the circle in order to help you
The Side-Side-Side (SSS) similarity theorem states that triangles are similar if the corresponding sides of the triangles are congruent.
True
False
Answer:
False
Step-by-step explanation:
When triangles are similar, their sides are proportional, not congruent.
I hope this helps :))
High School: Grade 8
Math
Activity 1: Object's Position Description: This activity will enable you to give the coordinates of the point where the object is located. Direction: Describe the location of each point below by the completing the following table. An example is done for you.
Object:
Example:Ball
1. Spoon
2. Television Set
3. Laptop
4. Bag
5. Pillow
6. Camera
7. Table
Coordinates:
Example: (4,2)
1.
2.
3.
4.
5.
6.
7.
Quadrant/Axis
Example: |
1.
2.
3.
4.
5.
6.
7.
Answer:
Don't know if you still need this,
Coordinates:
________________
1. (6,-5)
2. (-5,6)
3. (2,-4)
4. (-4,-3)
5. (1,5)
6. (0,0)
7. (-2,2)
Quadrant/Axis:
____________
1. 4
2. 2
3. 4
4. 3
5. 1
6. 0
7. 2
Use the slope -intercept form to write an equation of the line with the given slope and y-i Slope -(5)/(9);y-intercept (0,-(7)/(3))
The equation of the line with a slope of -(5)/(9) and a y-intercept of -(7)/(3) can be written using the slope-intercept form, which is y = mx + b. Plugging in the values, the equation becomes y = -(5)/(9)x - (7)/(3).
The slope-intercept form of a linear equation is y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the slope is -(5)/(9) and the y-intercept is -(7)/(3). To write the equation, we substitute these values into the formula.
The slope, -(5)/(9), indicates that for every 9 units of change in the x-coordinate, the y-coordinate changes by -5 units. The y-intercept, -(7)/(3), represents the point where the line intersects the y-axis.
Combining the slope and y-intercept, we obtain the equation y = -(5)/(9)x - (7)/(3), which represents a line with a negative slope and a y-intercept below the origin.
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Describe how to transform (^5 sq root x^7)^3 into an expression with a rational exponent. Make sure you respond with complete sentences.
Answer:
\(x^{\frac{21}{5}}\)
Step-by-step explanation:
\(5^{th} \ root \ of \ x^7 = (x^ 7)^{\frac{1}{5}}\)
\(Using \ the \ rule : \sqrt[n]{x} =x^{\frac{1}{n}} \\\\(x^a)^b = x^{ab}\)
\((x^7)^{\frac{1}{5}} = x^{\frac{7}{5}}\)
\(( x^{\frac{7}{5}})^3 = x^{\frac{21}{5}}\)
Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. cos 13π 15 cos − π 5 − sin 13π 15 sin − π 5 Find its exact value.
As per the addition formula, the value of the trigonometric function is -0.809.
In statistics, function is defined as a relationship between inputs where each input is related to exactly one output.
Here we have to find the value of the trigonometric function cos(13/15)cos(-/5)-sin(13/15)sin(-/5) by using the addition and subtraction formula.
Here we have the following trigonometric function:
=> cos(13/15)cos(-/5)-sin(13/15)sin(-/5)
Now, we have to use the trigonometric addition formula,
=> Cos (A+B) = Cos A Cos B - Sin A Sin B
To solve the given function,
Here let us rewrite the given function based on the addition formula, then we get,
=> Cos ( 13π/15 + (-π/5) )
=> Cos( 12π/5)
=> Cos(144°)
=> -0.809
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q - r - 3s = p solve for q
Answer:
q = p + r + 3s
Step-by-step explanation:
q - r - 3s = p solve for q
q - r - 3s = p
add r to both sides:
q - r - 3s + r = p + r
q - 3s = p + r
add 3s to both sides:
q - 3s + 3s = p + r + 3s
q = p + r + 3s
if the least-squares regression line for predicting y from x is y = 50 – 15x, what is the predicted value of y when x = 3?
The predicted value of y when x = 3, based on the least-squares regression line equation y = 50 - 15x, is y = 50 - 15(3) = 5.
The given least-squares regression line equation y = 50 - 15x represents a linear relationship between the variables x and y. In this equation, the coefficient of x (-15) represents the slope of the line, and the constant term (50) represents the y-intercept.
To find the predicted value of y when x = 3, we substitute x = 3 into the equation and solve for y. Plugging in x = 3, we have y = 50 - 15(3). Simplifying this expression, we get y = 50 - 45 = 5.
Therefore, when x = 3, the predicted value of y based on the least-squares regression line is 5. This means that according to the regression line, when x is 3, the expected or estimated value of y is 5.
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help solve the problem
Answer:
$3.15
Step-by-step explanation:
1 dryer: 500 W
6 dryers: 6 × 500 W = 3000 W × (1 kW / 1000 W) = 3 kW
Running 6 dryers for 1 hour: 3 kW × $0.15 kWh = $0.45
Running 6 dryers for 7 hours: $0.45 × 7 = $3.15
Can someone review my work and tell me what I should fix please (brainiest)
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes.
variable: x
2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice.
Subtraction
Cheryl’s post is less than Kevin’s
3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote.
Cheryl’s number of posts: x - 7
4. If Kevin wrote 21 posts, how many did Cheryl write?
x = 21
So, Cheryl’s post should be 21 - 7
= 14
It all seems good, all of it is correct and I don't think anything needs fixing imo aside from perhaps rewording number 2) to 'Cheryl writes fewer posts than Kevin'
Please help and Thank you whoever you are.
Answer:
Whole #'s: All natural numbers plus 0
Integers: Whole numbers and their opposites
Rationals: Can be expressed as ratios, repeating numbers, decimals, so on.
1.
-2/5 is a fraction or ratio, meaning it doesn't belong in whole NOR integer.
-2/5 belongs in the rationals box.
-7.8 is negative, but it is a decimal, so it belongs in the rationals box.
1/10 is not a whole, not an integer, but a rational number.
13 is a whole number, integer, and rational, so it belongs in the whole box.
10 is also a whole number grouped under the categories given.
-5 is the opposite of 5, and whole numbers aren't negative, so -5 belongs in the integers box.
-8/4 is a fraction, not considering its simplified form that would give -2, so it belongs in the rationals box.
2.
We know there are 208 pages in total. On Monday, she read 3/8 of the pages. This can be demonstrated as 208 * 3/8, which is 78. 208-78 = 130.
We know there are 130 pages left. On Tuesday, she reads 28 pages. 130-28=102
We know there are 102 pages left. On Wednesday, she read 1/4 of the total pages. 1/4 (of) 208 is 1/4*208, that is 52.
To know how many pages are left, we subtract her read pages from the remaining pages. 102-52 = 50.
Amanda has 50 pages left until she finishes the novel.
Hope this helped.
Consider these functions:
What is the value of x when g(h(x)) = 4?
Answer:
4
Step-by-step explanation:
first we look at g(x) when it equals 4 x equals 2 and since the equation is written like
g(h(x)) or g(2) we know h(x) is equal to 2 so when h(x) is 2 x is 4
Hopes this helps please mark brainliest
Determine the inverse.
g(x)=7(x-8)² +3
for 8 ≤ x < ♾️
The inverse of the given function could be; y = √x / 7 + 8
What is inverse of a function?Suppose that the given function is \(f:X\rightarrow Y\)
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
\(f^{-1}: Y \rightarrow X\)
This simply means, inverse of 'f' is undo operator, that takes back the effect of 'f'
We have been given the function as g(x)=7(x-8)² +3 for 8 ≤ x < ∝
Function that can reverse into another function is known as an inverse function or anti function to find y when x is swapped with another variable, we must first determine the inverse function.
On the other hand, the inverse function and the original function have interchangeable domains and ranges.
y = 7(x-8)²
(x-8)² = y/7
x - 8 = y / 7
x = √y / 7 + 8
Or
y = √x / 7 + 8
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the set of output values of a function or relation
The set of output values of a function or relation is known as the range.
A function can be defined as a rule or a formula that relates each input value to an output value. The domain of a function refers to the set of input values that can be used to generate an output. The range, on the other hand, refers to the set of output values that can be generated by the function or relation.The set of output values of a function or relation is known as the range. It is the collection of all the possible output values that the function can produce when given input values from its domain. The range is also referred to as the codomain of the function or relation. Note that not all input values in the domain will necessarily produce an output in the range.To know more about range, visit:
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Helpp plzzz
Thank you
Given:
32 and 28 are the two numbers.
To find:
(a) The GCF of 32 and 28.
(b) Using the GCF, find the factor of (32-28).
Solution:
(a)
The factor forms of the given numbers are:
\(32=2\times 2\times 2\times 2\times 2\)
\(28=2\times 2\times 7\)
It is clear that, 2 and 2 are the common factors in both.
\(GCF(32,28)=2\times 2\)
\(GCF(32,28)=4\)
Hence, the GCF of 32 and 28 is 4.
(b)
Using the GCF we need to find the factor of (32-28).
\(32-28=4\times 8-4\times 7\)
Taking out the GCF, we get
\(32-28=4\times (8-7)\)
Hence, \(32-28=4\times (8-7)\).
. Four times the sum of 3 and a number is 16. Find the
number.
PLEASE A I NEED IT
Answer:
x=1
Step-by-step explanation:
it is
Convert the following.
15, 000 m² =________hectare
2.5 hectares =_______m²
Answer:
15,000 m²= 1.5 hectares
2.5 hectares= 25, 000 m²
Step-by-step explanation:
Sana makatulong