The null hypothesis in this situation is "There are no differences in the mean completion times among the temperatures compared".
What is a null hypothesis?This is a hypothesis that states the independent variable or factor being studied has not effect on the dependent variable.
This implies the temperature has no effect on the completion times of the paper-folding test.
What is the factor of interest?It is the effect of temperature because this is the factor being manipulated on purpose.
What is the dependent variable?This refers to the factor being studied, in this case, these are the spatial reasoning abilities, which are tested through a specific test.
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Help, please! It's all in the screenshot
A:
5=2+3
-> right triangle
B:
5=4+3
-> not a right triangle
C.
36= 25+16
36= 41
-> not a right triangle
D.
49= 25+25
49=50
-> not a right triangle
E.
100= 36+ 64
100= 100
-> right triangle
HELP MEE!!! PLEASE
Cheryl is filling bags for a party. She puts 2 key chains in each of the 5 bags. Then, she puts 7 treats in each of the 5 bags. write an expression with two factors that show how many items cheryl put in the bags.
Answer: 45 items
Step-by-step explanation:
2 key chains in 5 bags so 2+2+2+2+2=10
Then it says 7 treats in each 5 bags so
7+7+7+7+7=35
So 10+35=45 so she had 45 items
And put 9 items in each bag
f(x)=x^2. What is g(x)?
f(x)=x²
f(1)=1²=1Hence.
g(x)=5f(x)g(x)=5x²Answer:
welp hopefully its right
Step-by-step explanation:
-1.5
15
- 10
-3
2
A picture 8 3/4 feet long is to be centered on a wall that is 12 1/2 feet long. How much space is there from the edge of the wall to the picture?
Answer:
15/4
Step-by-step explanation:
Find a common denominator in this case 4.
Turn both mixed numbers to an improper fraction
12 1/2 = 25/2
8 3/4 = 35/4
multiply 2 to 25/2 = 50/4
50/4 - 35/4 = 15/4
pls help with math it is due soon
Answer:
x = 25
Step-by-step explanation:
[tex]x=25\sqrt 2 \times \cos 45\degree\\\\\implies x = 25 \cancel{\sqrt{2} }\times \frac{1}{ \cancel{\sqrt{2} } } \\ \\ \implies \: x = 25[/tex]
Find the volume of the prism or compound shape.
Mrs. Mueller writes an inequality on the board. The table shows the responses of six students for possible values of x.
Which students have correct responses to Mrs. Mueller's inequality?
Select ALL that apply.
Answer:
Maya, Pablo
Step-by-step explanation:
We solve the inequality to find how big x must be to fit the inequality.
[tex]\frac{3}{5}x > 6\\ x > 10[/tex]
Since x has to be greater than 10, anyone with an answer above that is correct.
Maya and Pablo are the only two.
The blades of a windmill turn on an axis that is 30 feet from the ground. the blades are 10 feet long and complete 2 rotations every minute. write a sine model, y = asin(bt) k, for the height (in feet) of the end of one blade as a function of time t (in seconds). assume the blade is pointing to the right when t = 0 and that the windmill turns counterclockwise at a constant rate. y = 30 sine (startfraction pi over 15 endfraction t) 10 y = 30 sine (startfraction pi over 15 endfraction t) 30 y = 10 sine (startfraction pi over 15 endfraction t) 10 y = 10 sine (startfraction pi over 15 endfraction t) 30
The sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.
What is sine function with time?The period of a sine function is equal to the 2π and it repeats after each 2π units.
The sine model can be given as,
[tex]y = a\sin(bt) +k[/tex]
The blades are 10 feet long and complete 2 rotations every minute. Thus the period is,
[tex]b=\dfrac{2\pi}{60}\times2\\b=\dfrac{\pi}{15}\\[/tex]
The blades of a windmill turn on an axis that is 30 feet from the ground. Thus,
[tex]k=30[/tex]
The blades are 10 feet long. Thus,
[tex]a=10[/tex]
Put these values in the above formula as,
[tex]y = 30\sin(\dfrac{\pi}{15}t) +30[/tex]
Thus, the sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.
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Answer:
B
Step-by-step explanation:
Which equations can be used to find the lengths of the legs of the triangle? Select three options.
0.5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x – 24 = 0
x2 + 2x – 48 = 0
x2 + (x + 2)2 = 100
The equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24
Pythaogram theoremAccording to the theorem, the square of the hypotenuse is equal to the sum of the square of other two sides.
From the diagram
hypotenuse = 10ft
Other sides are x and (x+2)ft
According to the theorem:
10^2 = x^2 + (x+2)^2
x^2 + (x+2)^2 = 100
Expand
x^2 + x^2 + 4x + 4 = 100
2x^2 + 4x - 96 = 0
x^2 + 2x - 48 = 0
Divide through by 2
0.5x^2 +x - 24 = 0
0.5x(x+2) = 24
Hence the equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24
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A passenger train left new york and traveled north while a freight left from the same place, and the same time and traveled south. After traveling for 6 hours the traines were 720 miles apart. if the passenger train was traveling at 80mph, how fast was the freiht train traveling.
The freight train was traveling at 40 mph.
Let's use the formula for distance:
distance = rate x time
We know that the two trains are moving away from each other, so we can add their distances to get the total distance between them:
distance = distance traveled by passenger train + distance traveled by freight train
Since they started at the same time, the time traveled by both trains is the same, so we can write:
distance = 80 mph x time + rate of freight train x time
Using the given information, we can write:
720 = 80 x 6 + rate of freight train x 6
Simplifying:
720 = 480 + 6(rate of freight train)
240 = 6(rate of freight train)
rate of freight train = 40 mph
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#SPJ1
Find the area of a regular hexagon with a perimeter of 12cm.
Answer:
[tex]6\sqrt{3}[/tex] [tex]cm^{2}[/tex]
Step-by-step explanation:
Here is a fact to remember. A hexagon is always made up of 6 equilateral triangles.
So if the perimeter of the Hexagon is 12 cm, then each side is 2 cm.
The area of an equilateral triangle is [tex]\frac{s^{2}\sqrt{3} }{4}[/tex].
So plugging in 2 gets us the area of one triangle.
s = 2
[tex]2^{2}\sqrt{3}/4 = \sqrt3[/tex]
The area of 6 triangles will be [tex]6\sqrt{3}[/tex] [tex]cm^{2}[/tex].
Work out
92.6
% of
103.93
km
Give your answer rounded to 2 DP. HURRY
92.6% of 103.93km
solution:Our output value is 103.93.
let's represent the unknown as x.
103.93=100%
Similarly, x=92.6%
103.93= 100% (1)
x= 92.6% (2)
By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of bothequations have the same unit (%); we get:
103.93/x = 100%/ 92.6%
the reciprocal of both sides gives:
x/ 103.92 = 92.6/100
= 96.23918
2 dp= 96.24
so 92.6% of 103.93km is 96.24 when rounded to 2 decimal place.
Answer:
96.24 km
Step-by-step explanation:
To Find :
92.6% of 103.93 kmSolving :
% to decimal = ÷ by 10092.6% = 0.926⇒ -.926 x 103.93⇒ 96.23918⇒ 96.24 km (In 2 decimal places)Consider the following Polynomial -2a^3b^z+5ab^5+7b^4+8
a. Find the degree of the polynomial
1.5
2.6
3.15
b. Find the leading coefficient of the polynomial
1.-2
2.5
3.7
4.8
c. Find the constant term of the polynomial
1.-2
2.5
3.7
4.8
d. Find the leading term of the polynomial
1.-2a^3 b^2
2.5ab^5
3.7b^4
4.8
#a
Degree is the highest power
here it's 5#b
Leading coefficient is 7
#c
Constant term is 8 (which doesn't contain variables)
#d
Leading term is term with highest power
5ab⁵Full explanation please.
Answer as soon as possible
Answer:
(- 5, 9)Step-by-step explanation:
Given system of equations
- 2x - y = 1- 4x - y = 11Express the first equation as
y = - 2x - 1Substitute the value of y into second equation
- 4x - (- 2x - 1) = 11Solve for x
- 4x + 2x + 1 = 11- 2x + 1 = 11- 2x = 102x = - 10x = - 5Find the value of y
y = - 2(- 5) - 1 = 10 - 1 = 9Answer:
(-5, 9)
Step-by-step explanation:
Given system of linear equations:
[tex]\begin{cases}-2x-y=1\\-4x-y=11\end{cases}[/tex]
To solve by substitution, use arithmetic operations to isolate y in Equation 1:
[tex]\implies -2x-y=1[/tex]
[tex]\implies -2x-y+y=1+y[/tex]
[tex]\implies -2x=1+y[/tex]
[tex]\implies -2x-1=1+y-1[/tex]
[tex]\implies y=-2x-1[/tex]
Substitute the expression for y into Equation 2 and solve for x:
[tex]\implies -4x-(-2x-1)=11[/tex]
[tex]\implies -4x+2x+1=11[/tex]
[tex]\implies -2x+1=11[/tex]
[tex]\implies -2x+1-1=11-1[/tex]
[tex]\implies -2x=10[/tex]
[tex]\implies -2x \div -2=10 \div -2[/tex]
[tex]\implies x=-5[/tex]
Substitute the found value of x into one of the equations and solve for y:
[tex]\implies -2(-5)-y=1[/tex]
[tex]\implies 10-y=1[/tex]
[tex]\implies 10-y+y=1+y[/tex]
[tex]\implies 10=1+y[/tex]
[tex]\implies 10-1=1+y-1[/tex]
[tex]\implies y=9[/tex]
Therefore, the solution to the given system of linear equations is (-5, 9).
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A committee of four people needs to be chosen. There are three men and five women available to serve on the committee. If the committee members are randomly chosen, what is the probability that two of the four people chosen on the committee are women? a) 0.518 b) 0.429 c)0.215 d) 0.322
Answer:
D
Step-by-step explanation:
The value of y varies directly with x. When y=55, x=1/4. Determine the constant of proportionality
Answer:
k = 220
Step-by-step explanation:
Proportion of y and x
y = kxGiven :
y = 55x = 1/4Solving :
55 = k/4k = 55 x 4k = 220if 9% of 84 students like pizza if 6% like hotdogs and 15% like nachos and 6% like candy how much percentage is left popcorn
Answer:
64%
Step-by-step explanation:
36% like everything else, leaving a 64%
Answer: 64%
Step-by-step explanation:
9 + 6 + 15 + 6 =36
popcorn = 100- 36% = 64%
64/100 × 84/1
A submarine is at the surface of the ocean, preparing to dive. It submerges and dives to - 993 feet. Then, it ascends 308 feet to
void hitting an undersea cliff. What integer represents the submarine's position in feet (depth) after it ascends to avoid the cliff?
Answer:
-685
Step-by-step explanation:
hope I helped
Solve for x. Leave your answer in the simplest radical form.
Image down below!
Please help! Brainlist and points
Answer:
x = 53.15
Step-by-step explanation:
use Pythagoras theorem
first find for the triangle that has both sides given and then solve for the other
Question Find the surface area of the prism. The surface area is square centimeters.
Answer:The answer is12
Step-by-step explanation:
Determine tan(S) and tan(T).
[tex]\tan S = \dfrac{RT}{RS}= \dfrac{5}{12}\\\\\\\tan T = \dfrac{RS}{RT}= \dfrac{12}5[/tex]
Connor filled his 150 gallon pool with water in 6.25 hours. How many gallons per hour did he use?
Answer:
24 gallons per hour
Step-by-step explanation:
Connor filled his 150-gallon pool with water in 6.25, to find out how many gallons per hour he used, we have to divide the amount of gallons into every hour. Therefore:
150/6.25
24 gallons per hour.
Solve for x………………………..
Answer:
85
Step-by-step explanation:
a² + b² = c²
13² + 84² = x²
x = 85
Scientists are looking for a drone that crashed into a forest. They decide to use a map and conduct a
circular search to find the missing drone according to the equation y? + y2 - 12x - 4y + 24 = 0 in miles.
Which of the following statements are correct? Select all that apply.
A. The search radius is less than 5 miles.
B. The search radius more than 10 miles.
C. The search is centered on the map at point (12, -4).
D. The search is centered on the map at point (-2, -6).
E. The search is centered on the map at point (6, 2).
HELP FAST!! The scores on a test are normally distributed with a mean of 130 and a standard deviation of 26. Find the score that is one and one-half standard deviations below the mean.
Answer:
91
Step-by-step explanation:
130 - 1 1/2 ( 26) = 91
Please help me I can’t do it and don’t add links Three sides of a quadrilateral are the same length q.the length of the fourth side is 7 inches the Preimeter of the quadrilateral is 40 inches write an expression that represents the situations
Answer:
5
Step-by-step explanation:
5
The length of a rectangle is three times its width.
If the perimeter of the rectangle is 64 cm, find its length and width.
Answer:
Length: 24 cm
Width: 8 cm
Explanation:
Let Width be "w"
Then Length is "3w"
=================
Perimeter of rectangle = 2(length+width)
===================================
2(3w+w) = 64(4w) = 32w = 8So, width is 8 cm
Length: 3w ⇒ 3(8) ⇒ 24 cm
Answer:
Length = 24 cmWidth = 8 cmStep-by-step explanation:
Given
Length = 3 x Width Perimeter = 64 cmSolving
Perimeter = 2(Length) + 2(Width)Perimeter = 2(Length + Width)Perimeter = 2(3 x Width + Width)Perimeter = 2(4 x Width)Perimeter = 8 x Width64 = 8 x WidthWidth = 64/8 = 8 cmLength = Width x 3 = 8 x 3 = 24 cmWhich of the following are solutions to the equation below?
Check all that apply.
X2 + 10x + 25 = 8
5. Consider the system of equation:
x+4y=13
3x +2y =19
(a) Multiply both sides of the second equation (b) Add the equation from (a) to the first
hu -2. What equation results?
equation. What happens? What can you
now solve for?
(d) What could you have multiplied both sides of
the first equation by to eliminate the x
instead of the y?
Answer:
A
Step-by-step explanation:
What percentage of take-home pay is spent on expenses? (round to nearest whole percent) a) 67% b) 68% c) 84% d) 85%
The percentage of take-home pay is spent on expenses is 85% round to nearest whole percent.
What is percentage of a number?Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%' known as percentage symbol.
In the attached image below the monthly budget is shown. In this budget the take home salary is $5388 and the total expences is $4558.
The percentage of take-home pay is spent on expenses is,
[tex]P=\dfrac{4558}{5388}\times100\\P=0.8459\\P\approx85\%[/tex]
Thus, the percentage of take-home pay is spent on expenses is 85% round to nearest whole percent.
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