The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region.
Test-Static tData;
mean = 5.82s = 4.93n = 600Let's calculate the t-value
[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } }[/tex]
Substitute the values into the equation and solve;
[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } } \\t = \frac{5.82 - 5}{\frac{4.93}{\sqrt{600} }} \\t = \frac{0.82}{0.201} \\t = 4.079[/tex]
The t-value is 4.079
The allowed significance value = 0.01
The degree of freedom is n -1, which becomes 600 - 1 = 599.
The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region, we have to reject the null hypothesis or claim incorrect.
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1) Which fractions are equivalent to 6/12? Choose ALL the correct answers.
12
Answer:
Infinite
Step-by-step explanation:
Most common examples are 1/2 3/6 7/14 4/8 2/4 5/10 8/16 50/100
Grady rode his bike 910 of a mile. Which of the following show this distance using decimal notation?
The distance Grad rode his bike 9 / 10 miles is represented in decimal as 0.9 miles.
What are decimal numbers?Decimal number are number whose whole number part and the fractional part is separated by a decimal point. Example of decimal numbers are 0.345, 7.45, 6.72 etc.
The distance Grad rode his bike is represented in fraction. The distance can be converted to decimal number as follows:
Distance in fraction = 9 / 10 miles
Therefore, the distance in decimal = 0.9 miles
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What square should complete the following series of squares?
1
2
3
4
Red cube will take 1,1 position (first row, first column).
Yellow cube will take 3, 4 position (third row, fourth column).
Green cube will take 4, 1 position (fourth row, first column).
What is pattern?A pattern is a repeated arrangement of numbers, shapes, colors and so on.
According to the given question.
We have three squares made up of small cubes.
In the three squares, only three cubes of each square are colored by following some pattern.
In the given series of square we can see that, the yellow colored cube moving straight forward. And the green and red cubes are moving diagonally.
Therefore, by following this pattern the cubes of fourth square of the series will take position:
Red cube will take 1,1 position (first row, first column).
Yellow cube will take 3, 4 position (third row, fourth column).
Green cube will take 4, 1 position (fourth row, first column)
Thus, the third option is correct.
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Cos2A + cosec4A = cot A-cot 4A
Answer:
no solution
Step-by-step explanation:
A graphing calculator shows the left-side expression is never equal to the right-side expression for any real-number value of A.
The equation is not an identity, and has no solution.
__
Additional comment
By subtracting the right-side expression from the left-side expression, we get an equation of the form f(A)=0. Any solutions will be x-intercepts of the graph. The graph for this equation never comes close to crossing the x-axis.
a pizza with a diameter of 15 inches is cut into 12 equal slices. Carson eats 5 slices of pizza, representing an area of:
Step-by-step explanation:
pizza = circle
the area of a circle is
pi×r²
r = radius (half of diameter), in our case 15/2 = 7.5 in.
the total area of the whole pizza (circle) is
pi×7.5² = 56.25×pi = 176.7145868... in²
it is cut into 12 slices. Carson eats 5 of these 12 slices.
that means he eats 5/12 of the whole area :
176.7145868... × 5/12 = 73.63107782... in²
You spin the spinner once.
234567
What is P(6)?
Write your answer as a fraction
or whole number.
Helps pls i did 120 questions
Answer:
1/6
Step-by-step explanation:
There are 6 possible numbers for the spinner to land on, and only 1 of those cases will be where the spinner lands on 6.
Therefore, the answer is 1/6
HELP I GOT 2 mins please
Answer:
x=27 degrees
EAF= 27
Step-by-step explanation:
sorry if this isnt right i tried my best
find the value of X in the figure below and on the Centre of carde O
Answer:
x=55°
Step-by-step explanation:
180_70( radii,sum of ^'s of a ∆)
=110
110%2(^at centre=2×^at the circum)
x=55°
Find the value of x of 2x 110° (x + 10)°
Answer:
50°
Step-by-step explanation:
the sum of the angles of a quadrilateral is 360°
so
2x + 110 + x + 10 + 90 = 360
2x + x = 360 - 110 - 10 - 90
3x = 150
x = 150 : 3
x = 50°
-------------------------
check
50 + 10 + 2 * 50 + 110 + 90 =
360°.
the answer is good
Answer:
x = 50
2x = 110°
(x + 10)° = 60°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral is 360°
⇒ 2x° + (x + 10)° + 110° + 90° = 360°
⇒ 2x° + x° = 360° - 110° - 90° - 10°
⇒ 3x° = 150°
⇒ x = 50
Substitute found value of x into the expressions and solve:
⇒ 2x° = 2(50)° = 110°
⇒ (x + 10)° = (50 + 10)° = 60°
When you have a loan on a house, commercial property, or land, it is known as what?
Mortgage
Owner’s Manual
Permit
Rent
Answer:
mortgage
Step-by-step explanation:
all the others just dont fit the question. might be wrong might not be who knows
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=8600(0.11)^x
The function represents a decay of 88.97% per unit increase in x.
What is percentage?
Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".
The exponential function can be written in the form of y = [tex]ab^{x}[/tex], where:
a is the initial value or the value of the function when x = 0
b is the base or the factor by which the function changes for each unit increase in x
Comparing this form to the given function, we can see that:
a = 8600
b = 0.11
To determine whether the function represents growth or decay, we need to consider the value of the base (b). If the base is greater than 1, then the function represents growth, and if the base is between 0 and 1, then the function represents decay.
In this case, the base (0.11) is between 0 and 1, so the function represents decay.
To determine the percentage rate of decrease, we can use the formula:
Percentage change = (new value - old value) / old value * 100%
Since the function represents decay, the old value is the initial value (a = 8600) and the new value is the value of the function when x = 1:
y(1) = 8600(0.11)¹ = 946
Plugging in these values, we get:
Percentage change = (946 - 8600) / 8600 * 100% = -88.97%
Therefore, the function represents a decay of 88.97% per unit increase in x.
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need help ASAP will mark BRAINLIEST
Answer:
28 square inches
Step-by-step explanation:
There will be 4 sectors in a circle each having 90° central angle.
-> Area of circle = 4*Area of sector of circle having central angle 90°
= 4*7
= 28 sq inches
3 – 9x = –6 – 8x
What is X
the answer for this question is x = 9
x=9 ig
but how did I get -3?
Find the area of the triangle.
16 ft
62 ft
Not drawn to scale.
A. 496 ft2
B. 248 ft?
C. 78 ft2
D. 37 ft2
Answer:
A. 496 ft2
Step-by-step explanation:
area of a triangle is
1/2 times base times height
1/2 times 16 times 62 =
496
Can somebody please help with 7 and 8
Answer:
Point Form:
(−4,−9)
Equation Form:
x=−4, y=−9
Step-by-step explanation:
(r - 4) + (y - 3) = 25
Answer:
[tex]beinggreat78~here~to~help~you.[/tex]
[tex]r = 16[/tex]
[tex]y = 16[/tex]
This is because if you subtract 16 by 4, and 16 minus 3, you get 13 and 12 as the quotients. Now, you want to add these 2 numbers together, which gives you 25.
Find the distance between the two points.
(-3,2)
(0,0)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
Answer:
√13
Step-by-step explanation:
Plug into Distance formula --> √(0-(-3))^2 + (0-2)^2
---> √13
The point J(5,3) is rotated 90° counterclockwise around the origin. What are the coordinates of the resulting point, J'
Answer;
J(5,3) = x,y
rotated on 90;
J'(-3,5)
Therefore, the coordinates of the resulting point is J'(-3,5).
Which of these is the statement of the zero product rule?
A. If a • b = 0, then either a = 0 or b = 0, or both.
B. If a • b = 0, then a = 0 and b = 0.
C. If a • b = 0, then a = 0.
D. If a • b = 0, then either a = 0 or b = 0, but not both.
IM STUCK CAN SOMEONE HELP
An international company has 22,300 employees in one country. If this represents 18.3% of the company’s employees, how many employees does it have in total?
Round to nearest whole number
If y=3/8x-1 find the find the equations that are perpendicular and parallel to this line that passes through (8, -2)
Answer:
Step-by-step explanation:
perp. -8/3
y + 2 = -8/3(x - 8)
y + 2 = -8/3x + 64/3
y + 6/3 = -8/3x + 64/3
y = -8/3x + 58/3
y + 2 = -3/8(x - 8)
y + 2 = -3/8x + 3
y = -3/8x + 1
Three boxes are stacked one on top of the other. One box is 6 feet 6 inches tall, one is 4 feet 11 inches tall, and one is 5 feet 8 inches tall. How high is the stack? Write your answer in feet and inches. Use a number less than 12 for inches.
Heyo xD! Its easy since we have been asked to find out the total height of the stack which will be equal to the sum of height of each box. Thus, we can easily add them up and get our answer.
Given :-
Box 1 = 6 ft. 6 inches Box 2 = 4 ft. 11 inchesBox 3 = 5 ft. 8 inchesTo Find :-
The height of the stackSolution :-
Height of the stack,
=> 6 ft. 6 inches + 4 ft. 11 inches + 5 ft. 8 inches
=> 15 ft. 15 inches
And we know that 12 inches = 1 ft.
Thus, 15 inches = 1 ft. 3 inches
Thus,
=> 15ft. + 1 ft. 3 inches
=> 16 ft. 3 inches
Thus, the height of the stack is 16 ft. 3 inches.
Answer:
17 feet and 1 inch
Step-by-step explanation:
6 feet and 6 inches + 4 feet and 11 inches equals 10 feet and 17 inches.
10 feet and 17 inches + 5 feet and 8 inches equals 15 feet and 25 inches.
When converted the answer is 17 feet and 1 inch. This is so because 25 divided by 12 equals 2 remainder 1 . 2 feet plus 15 feet equals 17 feet and the remainder is 1 which is 1 inch.
So, the answer is 17 feet and 1 inch.
A father is four times as old as his son. In two years the will have been five times as old as his son was two years ago. How old is the father?
Answer:
Q13)A man is four times as old as his son. After 20 years, he will be twice as old as his son at that time. Find their present ages. Present age of the father is = 4 x = 4 × 10 = 40 4x=4\times10=40 4x=4×10=40 years.
Find the value of x.
52°
128°
38°
xº
x = [21°
Step-by-step explanation:
x = 360 - 128 + 52 + 38
x = 360 - 218
x = 142
I SUCK AT MATH PLS HELP
WORTH 1 POINT
GIVING 10
Answer:
34 degrees
Step-by-step explanation:
Assuming that ADJ is a right angle, we can add 4x and 3x-8 and set equal to 90 degrees to simply to get get x.
7x-8=90
Add 8
7x = 98
x= 14
Now that we know x, we can plug in the value to find angle CDJ.
3x-8
3(14)-8
34 degrees
At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing north at 15 km/h. How fast (in km/hr) is the distance between the ships changing at 4:00 p.m.? (Round your answer to three decimal places.)
Distance is the product of speed and time. The rate at which the distance between the ships changes at 4:00 p.m is 27.293 km/h.
What is the distance?Distance is the product of speed and time. It is given by the function,
[tex]\rm Distance = Time \times speed[/tex]
Given at noon the distance between two ships is 170 km. Furter ship A is moving towards the east at a speed of 40 km/h, therefore, the distance covered by Ship A in 4 hours will be,
[tex]\rm \text{Distance covered by Ship A in 4 hours} = 4 \times 40 = 160\ km[/tex]
The distance covered by Ship B in 4 hours will be,
[tex]\rm \text{Distance covered by Ship B in 4 hours} = 4 \times 15= 60\ km[/tex]
At 4 pm the distance between the two ships is the hypotenuse of the red triangle as shown below,
[tex]\rm Hypotenuse = \sqrt{10^2 + 60^2} = \sqrt{100+3600 }= 60.827\ km[/tex]
The rate of change in the distance between the two ships can be written as,
[tex]\rm \text{Rate of change of distance} = \dfrac{170-60.827}{4} = 27.293\ km/h[/tex]
Hence, the rate at which the distance between the ships changes at 4:00 p.m is 27.293 km/h.
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what value of x makes the equation 3^(x-5)=27^(x+4) true?
Answer:
The attached file contains the solution to the question
giving brainliest to whoever gives me the answers (to a and b) :)
Answer:
a.) Graph is attached; blue is Petunia's and red is Billy's
b.) Number of Hours: 4 | Cost: 32 Pounds
20 POINTS PLS
How to tell if your data has a wide range or a small range?
13) You pick a card and pick a marble. How many possible outcomes are there?
3
4 | 5
67
A) 5
OB) 2.
OC) 10
OD 6
Answer:
5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12
Step-by-step explanation:
5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12