Answer: Definition of midpoint
Step-by-step explanation:
Answer:
defintion of midpoint
Step-by-step explanation:
that is the proof
In order to study the amounts owed to a particular city, a city clerk takes a random sample of 16
files from a cabinet containing a large number of delinquent accounts and finds the average amount
rowed to the city to be $230 with a sample standard deviation of $36. It has been claimed that the
true mean amount owed on accounts of this type is greater than $250. If it is appropriate to assume
that the amount owed is a Normally distributed random variable, the value of the test statistic
appropriate for testing the claim is
(a) -3. 33 (b) - 1. 96
(c) - 2. 22
(d) -0. 55
(e) - 2. 1314
Using the t-distribution, it is found that the value of the test statistic is given by:
(c) -2. 22
What are the hypotheses tested?At the null hypotheses, it is tested if the mean is not greater than 250, that is:
[tex]H_0: \mu \leq 250[/tex]
At the alternative hypotheses, it is tested if it is greater, that is:
[tex]H_1: \mu > 250[/tex]
What is the test statistic?It is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem, the values of the parameters are:
[tex]\overline{x} = 230, \mu = 250, s = 36, n = 16[/tex].
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{230 - 250}{\frac{36}{\sqrt{16}}}[/tex]
t = -2.22.
Which means that option C is correct.
More can be learned about the t-distribution at https://brainly.com/question/26454209
A group of students formed a circle during a game. The circumference of the circle was about 50.24 feet, and the diameter of the circle was 16 feet. Which expression best represents the value of π?
A group of students formed a circle during a game. The circumference of the circle was about 50.24 feet, and the diameter of the circle was 16 feet. The required expression for value of π is: 3.14
What is diameter of circle?A circle is a form made up of all points on a plane that are at a specific distance from the centre point. In other words, it is the path a moving point in a plane takes to travel around a curve while maintaining a constant distance from another point.
Given that,
The circumference of the circle was about 50.24 feet,
And the diameter of the circle was 16 feet
We have to determine,
Which expression best represents the value of π.
According to the question,
Circumference of the circle = 50.24 feet
Diameter f the circle = 16 feet
Then,
Circumference of the circle = π × d
Circumference of the circle = 50.24 feet
Therefore,
50.24 = π × d
or. π × 16 = 50.24
or, π = 3.14
Hence, The required expression for value of π is: 3.14
For the more information about the circle refer to:
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What is the value of x in the given triangle, in inches?
What is the area of the figure?
A figure can be broken into 2 rectangles. One rectangle has a base of 6.2 inches and height of 8 inches. The other rectangle has a base of 10.2 inches and height of 3 inches.
42.4 square inches
80.2 square inches
92.8 square inches
101.6 square inches
Answer:
80.2
Step-by-step explanation:
Answer:80.2
Step-by-step explanation:
i did the test so yeh edg 2023
How would I solve this and what’s the answer ?
. A bag has 16 marbles in it: 6 red, 4 blue, 3 yellow, and 3 green. A marble is drawn and put back, and
then another marble is drawn. What is the probability that a blue marble was drawn followed by a
yellow marble?
Answer:
64%
Step-by-step explanation:
Which products result in a difference of squares or a perfect square trinomial? check all that apply. (5x 3)(5x – 3) (7x 4)(7x 4) (2x 1)(x 2) (4x – 6)(x 8) (x – 9)(x – 9) (–3x – 6)(–3x 6)
(7x + 4)(7x + 4) and (x – 9)(x – 9) are Perfect square trinomial. (5x + 3)(5x – 3) and (–3x – 6)(–3x + 6) shows the Difference of squares.
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
The following are the answers
(5x + 3)(5x – 3) Difference of squares
(7x + 4)(7x + 4) is a Perfect square trinomial
(2x + 1)(x + 2) has Neither a difference of squares nor a perfect square trinomial.
(4x – 6)(x + 8) has Neither a difference of squares nor a perfect square trinomial.
(x – 9)(x – 9) is Perfect square trinomial
(–3x – 6)(–3x + 6) = [tex](-3x)^2- ( -6)^2[/tex] Difference of squares.
Learn more about perfect square:
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Answer:
A. B, E, F
Step-by-step explanation:
Find the area.
5cm
3cm
4 cm
Answer:
6 cm²
Step-by-step explanation:
Since 3 side lengths are given, I assume that this figure is a triangle. The area of a triangle can be determined by using hero's formula.
[tex]\text{Area of triangle} = \sqrt{\text{s(s - a)(s - b)(s - c)}[/tex]
⇒ s = Perimeter/2
⇒ a, b, and c = side lenths of triangle
Replacing a, b, and c as the given side lengths:
[tex]\implies \text{Area of triangle} = \sqrt{\text{s(s - 5)(s - 3)(s - 4)}[/tex]
Determining the perimeter of the triangle:
[tex]\text{Perimeter of triangle = Sum of it's side lengths}[/tex]
[tex]\implies \text{Perimeter of triangle =}\ 5 + 4 + 3[/tex]
[tex]\implies \text{Perimeter of triangle =}\ 12 \ \text{cm}[/tex]
Determining the half of perimeter:
[tex]\text{Half of perimeter} = s = \dfrac{\text{Perimeter}}{2}[/tex]
[tex]\implies s = \dfrac{12}{2}[/tex]
[tex]\implies s = 6[/tex]
Replacing the value of "s" in the formula:
[tex]\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}[/tex]
Evaluating the area:
[tex]\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}[/tex]
[tex]\implies \text{Area of triangle} = \sqrt{\text{6(1)(3)(2)}[/tex]
[tex]\implies \text{Area of triangle} = \sqrt{\text{6(6)}[/tex]
[tex]\implies \text{Area of triangle} = 6 \ \text{cm}^{2}[/tex]
The product of two consecutive integers is 272. which quadratic equation can be used to find x, the smaller number? x2 1 = 272 x2 − 1 = 272 x2 x − 272 = 0 x2 x 272 = 0
An equation is formed of two equal expressions. The quadratic equation that can be used to find x, the smaller number is x²+x-272.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the first number be x.
Now since the two numbers are consecutive numbers the other number will be (x+1). Also, it is mentioned in the problem that the product of the two numbers is 272. Therefore, the equation that can represent the product will be,
[tex]x \times (x+1) = 272\\\\x^2 + x =272\\\\x^2 + x -272 = 0[/tex]
Thus, the quadratic equation that can be used to find x, the smaller number is x²+x-272.
Learn more about Equation:
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Answer:
c. x2 + x − 272 = 0
Step-by-step explanation:
What is the meaning of the sum?
Answer:
the sum is the total amount resulting from the addition of two or more numbers, amounts, or items.
The number of bacteria on a microscope slide doubles every hour . There are initially 4 bacteria present . Create an explicit function fto model the growth after n hours .
Answer:
I think a possible equation can be; f(n) = 4(2)ⁿ
f(n) = a * bˣ
Where;
f(n) = the function of f for every n value
a = Initial value (in this case it would be 4)
b = Rate of change (in this case it would be 2, since the bacteria doubles)
x = exponent (in this case it would be n)
So our final equation would be:
f(n) = 4(2)ⁿ
Hope this helps!
what is the third significant figure of 0.134
Answer:
3
Step-by-step explanation:
A bag Contains five blue marbles two green marbles and three yellow marbles what is the probability of Choosing one Green marble and a yellow marble with replacement what does this mean
Answer:
3/50.
Step-by-step explanation:
There are 10 marbles in the bag.
Probability( a green marble) = 2/10 = 1/5.
Now we replace the green marble in the bag so it contains 10 marbles again.
Probabilty(a yellow marble) = 3/10.
So Probability(Choosing a green then a red with repeacemen)
= 1/5 * 3/10
= 3/50.
answer this attachment for 21 points and brainliest
Answer:
60
Step-by-step explanation:
Just by using process of elimination, we can delete all but 1 answer. 95% is greater than 50% and half of the first second and fourth answers are all greater than 57
Williana’s mother wants to buy a glass tabletop for their dining room table. The tabletop is shaped like a hexagon with sides measuring 27. 75 inches. If the glass costs $0. 06 per square inch, how much will she spend on the glass table top?
$
The total amount that Williana's mother would spend to buy the glass table top is $120.04.
What is the total cost of the glass table top?The first step is to determine the area of the glass table top.
Area of a hexagon = [(3√3)/2] x a²
a = side length
2.598 x 27.75² = 2000.68 in²
Cost of the table top = 2000.68 in² x 0.06 = $120.04
To learn more about hexagonal prisms, please check: https://brainly.com/question/27242498
The function
f
(
t
)
=
310
(
1.025
)
7
t
f(t)=310(1.025)
7t
represents the change in a quantity over t weeks. What does the constant 1.025 reveal about the rate of change of the quantity
Answer: The function is growing exponentially at a rate of 2.5% every day.
Step-by-step explanation:
An airplane covers 900 miles in first 30 minutes and 3040 miles in next 2 hours. What is the speed of the airplane in the first 30 minutes
Answer:
hi how do you do I actually don't know sorry very much
i need help asap worth 100pts
Answer:
Part (a)
It depends how your calculator calculates quadratic regressions.
For my calculator:
Go to Statistics menuSelect quadratic regression: y=a+bx+cx²Input the x and y values from the given tableGo to options and select regression calca = 1.177142857 = 1.18 (nearest hundredth)
b = 42.22257143 = 42.22 (nearest hundredth)
c = -12.87142857 = -12.87 (nearest hundredth)
⇒ y = 1.18 + 42.22x - 12.87x²
Therefore, the quadratic regression equation in standard form is:
[tex]y = -12.87x^2+ 42.22x + 1.18[/tex]
Part (b)
To estimate the height of the rocket after 5 seconds, input x = 5 into the regression equation:
[tex]\implies -12.87(5)^2+ 42.22(5) + 1.18=-109.47[/tex]
As this gives us a negative value, this means that the rocket would have come back to the ground before 5 s. Therefore, the height of the rocket at 5 s will be 0 ft.
(see attached graph → the rocket will hit the ground at approx 3.3 s)
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:
C: 8/15
A: 4/25
Step-by-step explanation:
put it into a fraction, four times out of 25 = 4/25, for the first question you would have to simplify it to 8/15.
solve for the missing side. round to the nearest 10th.
Answer :
6.7 mm[tex] \: [/tex]
Explanation :
This is Right Angled Trian1gle.[tex] \: [/tex]
Solution :
We'll solve this using the Pythagorean Theorem.[tex] \: [/tex]
Where,
VW (9 mm) is the Hypotenuse.UV (6 mm) is the Base.UW is the Perpendicular .[tex] \: [/tex]
We know that,
[tex]{\longrightarrow \pmb{\mathbb {\qquad (UV) {}^{2} + (UW) {}^{2} =( VW) {}^{2} }}} \\ \\ [/tex]
Now, we will substitute the given values in the formula :
[tex]{\longrightarrow \pmb{\sf {\qquad (6) {}^{2} + (UW) {}^{2} =( 9) {}^{2} }}} \\ \\ [/tex]
We know that, (6)² = 36 and (9)² = 81. So,
[tex]{\longrightarrow \pmb{\sf {\qquad 36 + (UW) {}^{2} =81}}} \\ \\ [/tex]
Now, transposing 36 to the other side we get :
[tex]{\longrightarrow \pmb{\sf {\qquad (UW) {}^{2} =81 - 36 }}} \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (UW) {}^{2} = 45}}} \\ \\ [/tex]
Now, we'll take the square root of both sides to remove the square from UW :
[tex]{\longrightarrow \pmb{\sf {\qquad \sqrt{(UW) {}^{2}} = \sqrt{ 45}}}} \\ \\ [/tex]
When we take the square root of (UW)² , it becomes UW,
[tex]{\longrightarrow \pmb{\sf {\qquad UW = \sqrt{45}}}} \\ \\ [/tex]
We know that, square root of 45 is 6.708.
[tex]{\longrightarrow \pmb{\sf {\qquad UW \approx6.708}}} \\ \\ [/tex]
So,
The measure of the missing side (UW) is 6.7 mm (Rounded to nearest tenth)Which answer is wrong and what is the correct answer? I will give you BRAINLEST!
Answer:
Question B is (12,-7)
Step-by-step explanation:
The 2nd question is asking for the preimage. You did what the image would be if (4,-3) was the preimage.
Which equation can be used to represent the statement? Half of a number minus Severn is one and five tenths.
What is the measure in degrees of an angle that is equivalent to 1/360 of a circle.
Answer:
1 degree
Step-by-step explanation:
360 degrees / 360 = 1
PLEASE PLEASE PLEASE HELP ME WITH THIS QUICK QUESTION!!!!!!!!!
Answer:
y intercept: 4, x-intercept: None
Step-by-step explanation:
Took the test and got it right
What is the equation, in slope-intercept form, of the line that contains the points (1, -4) and (2, 1)?
X Y
1 -4
2 1
A. y = 5x - 9
B. y = -5x + 9
C. y = -9x + 5
D. y = 9x - 5
Step-by-step explanation:
please mark me as brainlest
Answer:
A Y= 5x-9
Step-by-step explanation:
HELP! WILL GIVE BRAINLEST!
Answer:
last option
Step-by-step explanation:
7pi/6,11pi/6
Answer:
D
Step-by-step explanation:
the answer is D
this is essentially sin theta = -1/2 which I already solved for you a few mins ago :)
Miss Chang ordered a pizza to share with some Grade 8 students. Miss Chang
gave Michael some slices of pizza. Miss Chang gave Amy twice as many slices of
pizza as Michael. Miss Chang gave Mr. Au three times the sum of what she gave
to Michael and Amy. Miss Chang gave 60 slices of pizza to Michael, Amy and Mr.
Au in total. How many slices of pizza Miss Chang give to each person?
i have no clue how to do this i need help
Answer:
x^32
Step-by-step explanation: because its (x^4)^8 you mutiply 4 by 8 so you get 32 and 32 is the new power so it is now x^32.
help me answer this pls
p = -4 and q = -6
hope it helps...!!!
HELPPPPPPPPPP!!! pls show work
Answer:
Step-by-step explanation:
67 becaue you divide all the numbers together then add then multiply then subtract divide that number and you get 67