Testing the hypothesis, it is found that the p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.
At the null hypothesis, we test if the proportion is of 40%, that is:
[tex]H_0: p = 0.4[/tex]
At the alternative hypothesis, we test if the proportion is greater than 40%, that is:
[tex]H_1: p > 0.4[/tex]
The test statistic is:
[tex]Z = \frac{X - p}{s}[/tex]
In which:
X is the sample proportion.p is the value tested at the null hypothesis.s is the standard error, given by:[tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]
With n as the sample size.
In this problem:
0.4 is tested at the null hypothesis, thus [tex]p = 0.4[/tex].Won 3 out of 3, thus [tex]n = 3, X = \frac{3}{3} = 1[/tex].The standard error is:[tex]s = \sqrt{\frac{0.4(0.6)}{3}} = 0.283[/tex]
The value of the test statistic is:
[tex]Z = \frac{X - p}{s}[/tex]
[tex]Z = \frac{1 - 0.4}{0.283}[/tex]
[tex]Z = 2.12[/tex]
The p-value is the probability of finding a sample proportion of 1 or "above", which is 1 subtracted by the p-value of Z = 2.12.
Looking at the z-table, Z = 2.12 has a p-value of 0.983.1 - 0.983 = 0.017.The p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.
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PLEASE HELP ITS MATH THANK YOUUUU
Answer:
6 ft
Step-by-step explanation:
Multiply by 2 on each side: (8*2) = (3*2)
New ratio: 16 = 6
Final answer: 6ft
Express the distance 4,300,000 meters using scientific notation in meters, and then in millimeters.
Answer: 4.3 × 10^6 meters, and 4.3 × 10^9 millimeters.
Explanation: In order to find the scientific notation of a large number, you want to move the decimal point to the left until you only have one digit to the left of the number, then you can count the spaces you have moved, and this will make the power of 10 that you'll add to the end. This seems a little confusing, but let's look at it through the example.
Step 1) Move the decimal point to the left until there's only one digit to the left of the decimal:
4,300,000 turns into 4.300000
Step 2) Count the number of digits you've moved.
Above, we moved 6 spaces to the left.
Step 3) Add the decimal to the front, and then 10^the number of spaces you moved
4.3 (from step one) × 10^6 (from step two)
= 4.3 × 10^6
It works the same way for the millimeter question, just convert meters into millimeters before you start the problem, and then solve it using the steps above! I hope this helped you :)
The scientific notation in meters and millimeters are
- 4.3 x [tex]10^{6}[/tex] meters
- 4.3 x [tex]10^{9}[/tex] millimeters
What is scientific notation?It is a way of writing very large or very small numbers where a number between 1 and 10 is multiplied by a power of 10.
Example:
310,000,000 can be written in scientific notation as 3.1 ✕ 10^8.
We have,
Distance = 4,300,000 meters
1 meter = 1000 millimeters
So,
4,300,000 meters = 4,300,000,000 millimeters
We can write 4,300,000 in scientific notation as:
= 4.3 x [tex]10^{6}[/tex] meters
We can write 4,300,000,000 millimeters in scientific notation as:
= 4.3 x [tex]10^{9}[/tex] millimeters
Thus the scientific notation in meters and millimeters are
- 4.3 x [tex]10^{6}[/tex] meters
- 4.3 x [tex]10^{9}[/tex] millimeters
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A square-shaped park has an area of 400 ft2. What are the dimensions of the park? Write and solve an equation.
Answer:I think 200ft2
Step-by-step explanation:
pls help asap i rly need this
Answer:
THey are countin by 2 and 5 on the graph
Step-by-step explanation:
Parallelogram JKLM is reflected across a horizontal line through its center and then translated down and to the left to produce parallelogram QTSR.
Answer:
jjztztjsyiydkkyddyoydoxhkyxyxi
Step-by-step explanation:
hmxkhxkyxhmxykxm
Calculus, derivatives. Please help! Show work, if possible. Thanks! :)
Answer:
a. y=4
b. graph the given and y=4
Step-by-step explanation:
The given is y= 8 sin(x) cos(x)
to get y' which is the slope of the tangent line we take the derivative
for this problem, the derivative involves the constant rule (which states that the derivative a constant times a value is just the constant times the derivative of said value) and the multiplication rule (assuming that the two parts in question are represented by the variables a and b then the derivative of a*b = a*b'+b*a')
thus we get 8*(sin(x)*-sin(x)+cos(x)*cos(x))
-8sin^2(x)+8cos^2(x)
You can also leave the 8 differentiated out depending on the form you need.
Now that we have the derivative we can plug pi/4 into this equation to get the slope of the tangent line at that point
=8sin^2(pi/4)+8cos^2(pi/4)
this would equal -8*1/2 +8*1/2 which equals 0
the slope of the tangent at this point would be zero
To get the point for point slope form we plug the pi/4 into the given equation to get a y value and get the point (pi/4, 4)
this means the point slope equation would be
y-4=0(x-pi/4)
y-4=0
y=4
To graph you would just enter the given equation and the equation for the tangent line into a graphing software or calculator and see if the line is tangent at the point (pi/4, 4)
a) 16 / (-4)
b) (-56) / 8
c) (-28) / (-2)
Jaliyah wants to play a prank on her older sister at her birthday party. She has two bags of blue glitter that she's planning on filling a birthday hat with. To figure out how much glitter she needs to use, Jaliyah must first find the volume of the party hat. Find the volume of the party hat in cubic inches.
Height = 8.4 inches
Length = 5.3 inches
Answer:
44.52
Step-by-step explanation:
Volume = b * h
base times height
The height is 8.4 inches so 8.4 *
Length is the same as base so 5.4
8.4 * 5.4
SOMEONE HELP ME AND EXPLAIN HOW ITS THE ANSWER PLZ!!!
Answer:
20 guests
Step-by-step explanation:
20 (20) + 400 = 400 + 400 = 800
10 (20) + 600 = 200 + 600 = 800
answer B = 20 guests
Answer:
For 20 persons the price would be same.
Step-by-step explanation:
y=y
20x+400=10x+600
20x-10x=600-400
10x=200
x=20
Therefore, for 20 persons the price would be same.
Multiply. (−6/35)⋅14/27 What is the product? Enter your answer as a fraction, in simplified form, in the box.
Answer:
-4/45
Step-by-step explanation:
[tex]\dfrac{-6}{35}*\dfrac{14}{27}=\dfrac{-6}{5}*\dfrac{2}{27}[/tex]
14 and 35 are given by 7th table.
[tex]= \dfrac{-2}{5}*\dfrac{2}{9}[/tex]
Now , 6 and 27 are given by 3rd table
[tex]=\dfrac{-4}{45}[/tex]
Answer:
-4/45
Step-by-step explanation:
2.03 Quiz: Multiply Signed Fractions
Read The Question in the PNG
9514 1404 393
Answer:
A. dollars = euros × 0.75
B. the exchange rate is the slope of the graph
Step-by-step explanation:
A. The graph indicates 1 euro will be exchanged for 0.75 dollars, or 4 euros for 3 dollars.
__
B. This exchange rate is the slope of the line on the graph: 0.75 dollars per euro.
57²⁰¹⁸ and 51²⁰²⁰, which one is larger? (57^2018 vs 51^2020)
Answer:
steps below
Step-by-step explanation:
Set log x = a and log y = b
x = 10ᵃ and y = 10ᵇ
if a>b 10ᵃ > 10ᵇ
so x > y
x = 57²⁰¹⁸ y = 51²⁰²⁰
log x = log 57²⁰¹⁸ = 2018 * log 57 = 3543.36 : (a)
log y = log 51²⁰²⁰ = 2020 * log 51 = 3449.29 : (b)
3543.36 > 3449.29 log x > log y
x > y: 57²⁰¹⁸ > 51²⁰²⁰
The length of a rectangle is one more than twice its width. If the perimeter of the rectangle is 134
centimeters, find its length.
Answer: We can set up the formula: 2L +2W = 110. We can also set up length as 2x+1 and width as x so plug this in: 2 (2x+1)+2x=110. Expanded to: 4x+2+2x=110. Rewritten as: 6x=108.
Step-by-step explanation:
please help me solve this !
will mark brainliest !
(spammers reported)
Answer:
it is five
Step-by-step explanation:
5v-2=8 then v=x2 because 5x2=10-2=8
so 7v-9=5
The correct answer is 5
simplify each expression and state the number of terms in the final answer.
1) 4m+3j, 2 terms.
2) -11x+6y+9, 2 terms
3) [tex]11g^5+6g^4-4gh\\[/tex], 2 terms
6g = -86; g= -16
Need help
Answer:
6g = -86
Divide each term in 6 g = − 86 by 6 and simplify.
Exact Form: g = -43/3
Decimal Form: g = −14.¯3
Mixed Number Form:
g = −14 1/3
—————————————————————
g= -16
Vertical line at x = −16
Which expression is equivalent to 1/5(150x-80y+50x-25y+20)
Answer: 40x-21y+4
Step-by-step explanation:
[tex]\frac{1}{5}(150x-80y+50x-25y+20)\\\\=\frac{1}{5}(200x-105y+20)\\\\ =\boxed{40x-21y+4}[/tex]
Anyone know the common ratio and zero term for this ?
4, 12, 36, ...
Answer:
36/12=3
12/4=3
Therefore, common ratio is 3
Tn = ar^(n-1)
T0=4*3^(0-1)
4*1/4
4/3
What is the length of HE
Round 47,754,099 to the nearest thousand.
A. 47,750,000
B. 47,754,000
C. 47,755,000
D. 48,000,000
Answer:
es 56,000.
Step-by-step explanation:
Which equation represents the line shown in the graph below?
у
+
8
6
4
2
X
-8
-6
-21
6
2
8
2
-6
-8
O A. y = 3x + 4
OB.y = 31 - 4
OC. y = 4x + 3
OD
y = 4.1 - 3
The equation of line from the graph is y = 3x + 4
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
The equation y = 3x + 4 represents a line in the coordinate plane.
To graph this line, we can plot a few points
when x=0, y=3(0)+4=4,
So we have the point (0,4)
when x=1, y=3(1)+4=7,
So we have the point (1,7)
when x=-2, y=3(-2)+4=-2,
So we have the point (-2,-2)
Plotting these points and connecting them with a straight line, we get the graph of the line
Hence , the equation of line is y = 3x + 4
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Please help i really need it, i will give brainliest to the right answers
Monique is taking part in a chili cooking contest. She has to buy enough supplies to make a very large batch of chili. The table shows the prices of some of the ingredients at the grocery store.
Answer:
1. 5
2. 1.29
3. 9.90
Step-by-step explanation:
They are buying 5 of each thing, so multiply it by 5.
The diced tomatoes cost $1.29.
When you solve the equation, you get 9.9. Convert that to money, and you have $9.90
This table shows the relationship between time and push-ups.
Which of the following values could represent the value of r2 for this relationship?
r2 = ‒0.9646
r2 = ‒0.0354
r2 = 0.0354
r2 = 0.9646
Answer:
D
Step-by-step explanation: i <3 satistics so much
A giant thresher shark weighing 1250 pounds, believed to be the heaviest ever caught, was landed by fisherman Roger Nowell off the Cornish coast in November 2007. The fish was sold by auction at Newlyn Fish Market for £255. Roughly, what was the cost per pound?
please answer this, i am so confused
The bag of dog food would last for 21 days.
The bag contains 42 cups of dog food. If the dog eats [tex]2\frac{1}{3}[/tex] cups everyday, the amount of cup in the bag decreases by [tex]2\frac{1}{3}[/tex] cups everyday. This can be represented with this expression: 42 - [tex]2\frac{1}{3}[/tex]d. Where d represents the number of days.
In order to determine the number of days in which the bag would be emptied, this equation can be used:
Number of days the dog food would last = number of cups in the cup / amount the dog eats each day
42 ÷ [tex]2\frac{1}{3}[/tex]
42 ÷ [tex]\frac{7}{3}[/tex]
42 x [tex]\frac{3}{7}[/tex] = 21 days
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is the product of 2 numbers always the LCM
Answer
I guess so.
To find the LCM you need to know the lowest digit as possible.
For example,
Question: What is the LCM of 8 and 6?
Answer: Table of 8: 8, 16, 24, 32, 40,48
Table of 6: 6, 12, 18, 24, 30, 36, 42, 48
Now look at the tables again and, did you see the LCM???......
If so your answer would be 24.
Step-by-step explanation:
Select the correct answer.
Sam is moving bags of soil from a loading dock into a storeroom. The topsoil weighs 40 pounds per bag, and the mulch weighs 20 pounds per
bag. The cart Sam uses to move the bags can only carry up to 480 pounds.
Which graph represents the number of topsoil bags and mulch bags that Sam can move in a single trip?
Answer:
The answer would be the A (I included a picture to show you which one it is)
Step-by-step explanation:
Options D and E are out because it clearly says " bags can only carry up to 480 pound" and those are saying it can hold more than 480
Options B and C have a dashed line. If it has a dashed line that means that it is < or > and it is not because it says "up to" up to means it CAN hold exactly 480
So the only right answer would be Option A
Answer:
A
Step-by-step explanation:
Got it right off Edmentum!!
Which are monomials?
-7
a
x + y
24r2st3
bx
Answer:
A,B,E,F
Step-by-step explanation:
A = 1/2 h(b^1 + b^2) solve for b^2
Answer:
[tex]b_{2} = \frac{2A}{h} - b_{1}\\[/tex]
Step-by-step explanation:
[tex]A = \frac{1}{2} h(b_{1} +b_{2})\\2A = h(b_{1} +b_{2})\\\frac{2A}{h} = b_{1} +b_{2}\\\frac{2A}{h} - b_{1} = b_{2}\\[/tex]
Math
1. What is 1 1/2 + 3/4
Answer:
2 1/4
Step-by-step explanation:
First, for adding, subtracting, and comparing fractions, it is good to adjust both fractions to a common denominator. The common denominator you can calculate as the least common multiple of both denominators = LCM ⇒ (2, 4) = 4. We should do = three halfs + three quarters = nine quarters. Thus, 2 1/4 or 2.25 is the answer.
1 1/2 + 3/4 = 9/8 = 2 1/4 or 2.25
Feel free to rephrase this in your own words! Hope this helps!