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.
A similar problem is given at https://brainly.com/question/24166849
What must be the length of PQ in order for AJKL to be
similar PQR
9514 1404 393
Answer:
(d) 18
Step-by-step explanation:
If ΔJKL ~ ΔPQR, then we must have ...
PQ/JK = QR/KL . . . . . ratios of corresponding sides are the same
PQ = JK×QR/KL = 12×9/6 = 2×9
PQ = 18
Answer:
18
Step-by-step explanation:
The scale factor for this is 1.5,
JL = PR
JL is 14, and PR is 21, 14 * 1.5 = 21
KL = QR
KL is 6, and QR is 9, 6 * 1.5 = 9
So we do the same for JK and PQ
Since PQ is 12, we need to find what 12 * 1.5 is.
12 * 1.5 = 18
PQ = 18
Si una semana después la caja fue agrandada 0.43m2 porque llegó una nueva serpiente ¿ahora cuánto mide el piso de la caja
The length of the floor of the box with an area of [tex]0.43m^2[/tex] is 0.66m
Let the area of the enlarged portion be a square and the formula is expressed as:
[tex]A = L^2[/tex]
L is the side length or the floor of the box.
Given the following parameters:
[tex]A = 0.43m^2[/tex]
Substitute the given parameters into the formula as shown:
[tex]0.43 = L^2\\L =\sqrt{0.43}\\L= 0.6557[/tex]
Hence the length of the floor of the box with an area of [tex]0.43m^2[/tex] is 0.66m
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You roll a standard die. You win $12 if you roll a six, $6 if you roll a one, and $0 if you roll anything else. What is the expected value of a single roll?
$3
$2
$9
$18
The expected value from a single die roll Given the Conditions stated is $3
The expected value is calculated using the relation :
E(X) = X × P(X)The table of probabilities from a single roll :
X ___ 6 ___ 0 ___ 0 ___ 0 ___ 0 ___12P(X)_ 1/6__ 1/6 __ 1/6 __ 1/6 __ 1/6 __ 1/6The expected value calculation :
E(X) = X × P(X) E(X) = (6×1/6) + 0 + 0 + 0 + 0 + (12 × 1/6) E(X) = 1 + 2 = $3Therefore, the expected value of a single die roll is $3
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Somebody please help me w/ this <3
Answer:
2 times
Step-by-step explanation:
The longest worm is 2 times the length of the shortest worm
A
,
B
and
C
form a triangle where
∠
B
A
C
=
90
∘
.
A
B
=
12.1
mm and
B
C
=
19.7
mm.
Find the length of
A
C
, giving your answer rounded to 1 decimal place.
Answer:
15.5 mmStep-by-step explanation:
Given:
ΔABC with ∠BAC = 90°, AB = 12.1 mm, BC = 19.7 mmSince BC is opposite to right angle, AC is the missing leg.
Find AC using Pythagorean:
[tex]AC = \sqrt{BC^2-AB^2} =\sqrt{19.7^2-12.1^2} =\sqrt{241.68} =15.5 mm[/tex]Find the equation for the line shown
Answer:
2y-x=0
Step-by-step explanation:
Slope(m)= (5-2)/(10-4)=3/6=1/2
y-intercept(c)=0
y=mx+c
y=1/2*x+0
y=x/2
2y-x=0
I need help anyway can help me
Answer:
With what?
Step-by-step explanation:
Just give me your question
Use place value and properties of operations to find the sum.
5.8
+2.3
= _
Type a whole number or a decimal
Answer:
8.1
Step-by-step explanation:
Help me plz
It’s question 2
Answer:
angle a is acute and angle b is obtuse
Step-by-step explanation:
1. A bird that was perched atop a 15 foot tree dives down six feet to a branch
below. How far above the ground is the bird's new location?
For v = -3(r - 3) when r= -1, what does v equal
Answer: 12
Step-by-step explanation:
v = -3(-1-3)
v= -3(-4)
v= 12
Lin and han ran a 5 mile relay race as a team. They each ran the same distance
Answer:
They ran 2.5 miles each.
Step-by-step explanation:
5/2=2.5
2.5+2.5=5
How many pizzas are needed for 5 children and for each one to eat ⅕.
Answer:
1
Step-by-step explanation:
If each child eats 1/5 slices, and there are 5 children then you have to multiply 5 by 1/5.
5* 1/5= 1
Hope this helps!
The elevator is a business center has a weight limit of 1800 pounds assume the average person weighs 160 pounds and has 3 pounds of items with them what is the greatest number of people that can ride the elevator at one time
Your boss sends you to the hardware store to buy tie down rope. He tells you to buy the best deal. What is the savings per unit between the best deal and worst deal?
Answer:
Explain more
Step-by-step explanation:
You need to explain more like add an image or tell us how much much money is a rope.
Evaluate the expression.
Step-by-step explanation:
[tex]{ \huge{ \{}}{ \rm{ [(30 - 60) \div ( - 30)] {}^{2} - 15{ \huge{ \}}} \div ( - 7) }} \\ \\ \dashrightarrow \: { \huge{ \{}}{ \rm{[( - 30) \div ( - 30)] {}^{2}{ \huge{ \}}} \div ( - 7) }} \\ \\ \dashrightarrow \: { \huge{ \{}}{ \rm{[1] {}^{2} { \huge{ \}}} \div ( - 7)}} \\ \\ \dashrightarrow \: { \rm{1 \div ( - 7)}} \\ \\ { \boxed{ \boxed{ \rm{ \: - \frac{1}{7} \: \: }}}}[/tex]
please mark this answer as brainlist
Jason, David, and Marcus each saved their allowance for four weeks. The ratio of total money
saved to number of weeks for each friend are shown in the table and graph. Which friend has
the greatest ratio of total money saved to number of weeks? Justify your response.
Answer:
David saved $15 per week
Jason saved $10 per week
Marcus saved $5 per week
(i divided y by x)
so David saved the most money throughout each week.
Solve 2 s^3 − 4r^ 2 if r = 1 and s = 5 . step by step
Answer:
246
Step-by-step explanation:
2(5)^3 - 4(1)^2
250 - 4
246
If log10 x=2, what is the value of X
Answer:
x=100
Step-by-step explanation:
log10 x=2
10^2=x
100=x
Answer:
C
Step-by-step explanation:
[tex]\log_{10}x=2\\10^2=x\\x=100[/tex]
What is the first step needed to solve 6- X-5=-132
A: Subtract 13 from both sides
B: Divide both sides by 7
C: Add 5 to both sides
D: Multiply both sides by 4
What is the product of the 4th square number and the 4th square number?
Answer:
65536
Step-by-step explanation:
4^4*4^4=4^8=2^16=65536
You roll a six-sided die. Find the probability of each of the following scenarios
(a) Rolling a 6 or a number greater than 3
(b) Rolling a number less than 5 or an even number
(c) Rolling a 4 or an odd number
---
(a) P(6 or number > 3) = 0.500 (Round to three decimal places as needed)
(b) P(1 or 2 or 3 or 4 or 6) =
(Round to three decimal places as needed.)
Answer:
a) [tex]1/2[/tex]
b) [tex]5/6[/tex]
c) [tex]2/3[/tex]
Step-by-step explanation:
a)
Rolling a number greater than 3 means you can roll a 4, 5, or 6, which contains rolling a 6. So, the probability is [tex](1+1+1)/6=3/6=\boxed{1/2}[/tex]
b)
Rolling a number less than 5 means you can roll a 1, 2, 3, or 4, but because you could also roll an even number, so you could also roll a 6.
So, the probability is [tex](1+1+1+1+1)/6=\boxed{5/6}[/tex]
c)
Rolling a 4 or an odd number means you can roll a 1, 3, 5, or 4. So, the probability is [tex](1+1+1+1)/6=4/6=\boxed{2/3}[/tex]
1.
WRITE "six million five hundred thousand four" in standard form.
I need to find y and z
for y-
24
45
27
135
for z-
135
98
82
90
Answer:
y = 27°z = 98°Step-by-step explanation:
The interior angle marked 5y is the supplement of the adjacent exterior angle marked 45°.
5y + 45° = 180°
5y = 135° . . . . . . . . subtract 45
y = 27° . . . . . . . . divide by 5
__
The sum of the interior angles of a pentagon is (5-2)(180°) = 540°.
90° +5y +z +82° +135° = 540°
Using y=27°, we can subtract 442° from both sides to get ...
z = 98°
_____
Additional comment
You might recognize that the downward-sloping diagonal sides of the figure are parallel, so z and 82° are consecutive interior angles, hence supplementary. This fact means you don't have to be concerned with the other three angles in the figure to find the value of z: 180° -82° = 98°.
What is the perimeter?
Geometry!!!
Answer:
[tex]2\sqrt{29}+\sqrt{53}+5[/tex]
Step-by-step explanation:
The distance between A and B is a vertical distance of [tex]2[/tex] and a horizontal distance of [tex]5[/tex]. By the Pythagorean Theorem, [tex]AB=\sqrt{2^2+5^2}=\sqrt{29}[/tex].
The distance between B and C is [tex]5[/tex] by counting squares.
The distance between C and D is a vertical distance of [tex]2[/tex] and a horizontal distance of [tex]7[/tex]. By the Pythagorean Theorem, [tex]CD=\sqrt{2^2+7^2}=\sqrt{53}[/tex].
The distance between D and A is a vertical distance of 5 and a horizontal distance of [tex]2[/tex]. By the Pythagorean Theorem, [tex]DA=\sqrt{5^2+2^2}=\sqrt{29}[/tex].
So, the answer is [tex]\boxed{2\sqrt{29}+\sqrt{53}+5}[/tex]
What is 2/5 + (1/5)2
Answer:
Answer in picture below
Answer:
2/5 + 2(1/5) = 2/5 + 2/5 = 4/5 = 0.8 or 80%
5. What number is in the ones place of a product of 10 and
another number? Explain.
A product of 10 has a number in one's position, and another figure will be 0.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
The one number is 10.
And let the other number of two digits will be xy.
Then the product of 10 and another number will be
10 × xy = xy0
The number at ones place when the product of 10 and another number will be 0.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Please can I check with you the answer for nbr 12?
Is it correct?
Answer:
B and C
Step-by-step explanation:
B = 2,4,6 =3,6C= 2,4,6,8,10,12 = 6,12Evaluate.
3⋅2^3+5^2−18÷6
25
31
40
46
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's evaluate :
[tex]3(2) {}^{ 3} + {5}^{2} - (18 \div 6)[/tex][tex](3 \times 8) + (25) - (3)[/tex][tex]24 + 25 - 3[/tex][tex]49 - 3[/tex][tex]46[/tex]Answer:
[tex]46[/tex]
Step-by-step explanation:
Hey there,
Before solving the sum you have to know about the BODMAS theorem.
That means you have to solve this sum according to the BODMAS theory.
BODMAS theory is,
B - Brackets
O - Of
D - Division
M - Multiplication
A - Addition
S - Subtraction
Let us solve the sum now.
[tex]3 \times {2}^{3} + {5}^{2} - 18 \div 6 \\ 3 \times 8 + 25 - 18 \div 6 \\ 24 + 25 - 3 \\ 49 - 3 \\ = 46[/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
How much more money do the employees from Hideaway Pizza make at
the end of the month than the employees at Red & Blue's? Round your
answer to the nearest hundredth.
Supposing linear functions for both cases, it is found that employees at Hideaway pizza make $250 more at the end of the month.
--------------------
The salary, in dollars, for x days of work at Hideaway pizza is of:
[tex]S_h(x) = 300 + 40x[/tex]
At Red & Blue's, it is of:
[tex]S_r(x) = 500 + 25x[/tex]
A month is 30 days, so, the salaries are:
[tex]S_h(30) = 300 + 40(30) = 300 + 1200 = 1500[/tex]
[tex]S_r = 500 + 25(30) = 500 + 750 = 1250[/tex]
1500 - 1250 = 250, thus:
Employees at Hideaway Pizza make $250 more at the end of the month.
A similar problem is given at https://brainly.com/question/24610273
