Answer:
The average height of team b is 62 inches.
Step-by-step explanation:
Mean:
The mean of a data-set is the sum of all values in the data-set divided by the number of values, that is:
[tex]M = \frac{s}{n}[/tex]
Sum:
Team a: Mean of 68 inches, 2x members.
Team b: Mean of y inches, x members.
So
[tex]s = 68*2x + yx = x(136 + y)[/tex]
Number of athletes:
[tex]n = 2x + x = 3x[/tex]
What is the average height of team b?
[tex]66 = \frac{x(136+y)}{3x}[/tex]
[tex]66 = \frac{136 + y}{3}[/tex]
[tex]136 + y = 198[/tex]
[tex]y = 198 - 136 = 62[/tex]
The average height of team b is 62 inches.
An automobile manufacturer has given its car a 46.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 150 cars, they found a mean MPG of 46.5. Assume the population standard deviation is known to be 1.1. A level of significance of 0.05 will be used. State the null and alternative hypotheses.
Answer: See explanation
Step-by-step explanation:
The null hypothesis H0: The null hypothesis states that there is no relationship between the two things that are being considered.
The alternative hypothesis is contradictory to H0 and it explains that there is a relationship between the two selected variables.
Based on the question, the null hypothesis H0 is that the rating of car is equal to 46.7 miles per gallon. μ = 46.7 MPG
The alternative hypothesis Ha is that the rating of the car is not equal to 46.7 Miles per gallon. μ ≠ 46.7 MPG
SOVE, REDUCE TO LOWEST TEERMS SIMPLIFY IMPROPER FRACTIONSAS MIXED FRACTIONS
Help please! it’s due soon
Answer:
33. That means (A) can be any number and b times any number wilo get 0 so any numbr will do
34.It is wrong because if x equals 40 anything multiply that will be more than that and so isnt a good reasoning
If the sequence 2, 4, 6, 10, 16, ... were to follow the same pattern as the Fibonacci sequence, what are the next three terms?
Answer:
26, 42, 68
Step-by-step explanation:
In the Fibonacci sequence, each number is equal to the sum of the two previous numbers. Denoting the sequence as a, we can say that
a₁=2
a₂=4
a₃=6
a₄=10
a₅=16
What we can see here is that each number a₃ or above is equal to the sum of its two previous numbers. For example, a₃ = a₁+a₂ = 2 +4 = 6
Therefore,
a₆ = a₄+a₅ = 10+16 = 26
a₇ = a₅+a₆ = 16 + 26 = 42
a₈ = a₆+a₇ = 26 + 42 = 68
A certain positive integer has exactly 20 positive divisors.
What is the largest number of primes that could divide the integer?
thx for the help in advance
9514 1404 393
Answer:
3
Step-by-step explanation:
20 has at most 3 proper factors greater than 1: 2×2×5. Each of these can represent a prime factor of the number of interest, and is 1 more than that prime's power. That is, the number of interest (n) will have at most 3 prime factors p, q, r, and will be ...
n = p·q·r^4
_____
For some prime factorization ...
[tex]\displaystyle n=\prod_{k=1}^m{p_k^{q_k}}[/tex]
The total number of divisors of n is ...
[tex]\displaystyle\prod_{k=1}^m{(q_k+1)}[/tex]
a company has decreased the weight of its boxes of macaroni by 8 %. if the new weight of the box is 13.1ounces, what was the original weight of the box?
Answer:
실례합니다 ?
Step-by-step explanation:
이것이 무엇을 의미하는 질문입니까?
회사는 마카로니 상자의 무게를 8% 줄였습니다. 상자의 새 무게가 13.1온스인 경우 상자의 원래 무게는 얼마였습니까? 오른쪽 ?
Answer:
x*0.92 = 13.1
x = 14.24
Step-by-step explanation:
how do you tell how many times greater is the 5 in 458,039 than the 5 in 271,145
Answer:
count the number of places it is. The 5 in 458,039 is in the 10,000 place and the 5 in 271,145 is in the ones place so the 5 in 458,039 is 10,000 times greater
Solve 7 ( x + 1 ) + 2 = 5x + 15
Answer:
x = 3
Step-by-step explanation:
7(x + 1) + 2 = 5x + 15
~Simplify left side
7x + 7 + 2 = 5x + 15
~Combine like terms
7x + 9 = 5x + 15
~Subtract 9 to both sides
7x = 5x + 6
~Subtract 5x to both sides
2x = 6
~Divide 2 to both sides
x = 3
Best of Luck!
I WILL GIVE BRAINLEST FAST PLEASE ANSWER THE QUESTION IN THE IMAGE
Answer:
Cannot be determined
Step-by-step explanation:
We only know one angle and we could only compare one set of sides.
We do not have enough information to determine if the triangles are similar
a² +6²
a-b
if a = 3 and b = 4
Evaluate each expression using the variable replacements.
Answer:
-45Step-by-step explanation:
let a= 3 and b= 4a² + 6² / a - b= 3² + 6² / 3 - 4= 9 + 36 / -1= 45 / -1= -45[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Please help me please! I really need it! Thank you so much!!!!!!!!!!! Sorry Quality is really bad
Answer:
7[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
- 2[tex]\frac{1}{3}[/tex] - ( - 10[tex]\frac{1}{6}[/tex] ) = - 2[tex]\frac{1}{3}[/tex] + 10[tex]\frac{1}{6}[/tex] = - 2[tex]\frac{2}{6}[/tex] + 10[tex]\frac{1}{6}[/tex] = ( 10 - 2 ) + ( [tex]\frac{1}{6}[/tex] - [tex]\frac{2}{6}[/tex] ) = 8 - [tex]\frac{1}{6}[/tex] = 7 + ( [tex]\frac{6}{6}[/tex] - [tex]\frac{1}{6}[/tex] ) = 7[tex]\frac{5}{6}[/tex]
A sample tested the claim that heights of men and heights of women have difference variances, with s=7.42388 cm for women and 7.14974 cm for men. The sample sizes are n1=144 and n2=156. When using the F test with these data, is it correct to reason that there is no need to check for normality because n1>30 and n2>30?
No. The F test has a requirement that samples be from the normally distributed populations, regardless of how large the samples are.
The F-test simply shows whether the variances that are in the numerator and the denominator are equal. The F-test can be applied on a large sampled population.
One main assumption of the F test is that the populations where the two samples are drawn are normally distributed.
Regarding the question, it's important to note that when using the F test with these data, it's not correct to reason that there is no need to check for "normality".
It should be noted that the F test has a requirement that samples are from the normally distributed populations, regardless of how large such samples are.
Read related link on:
https://brainly.com/question/16786843
A circular water fountain in the town square has a 112-foot circumference. How far is the center of the fountain from the outer edge? Round to the nearest whole number.
Answer:
18 feet
Step-by-step explanation:
The distance of the center of the fountain from the enter edge is equal to the radius of the circular fountain.
Use the circumference formula, c = 2[tex]\pi[/tex]r, to find the radius.
c = 2[tex]\pi[/tex]r
112 = 2[tex]\pi[/tex]r
18 = r
So, to the nearest whole number, the distance between the center of the fountain and outer edge is 18 feet.
1+9+40-40+40+10x2 equals what?
Answer:
70
Step-by-step explanation:
1+9+40-40+40+10*2
----------------------- 20
10+40-40+40+20
50 (-40+40 cancels out to 0) +20
50+20= 70
(Following PEMDAS)
Multiply, add, subtract.
if you were to instead go through it left to right, you would get 120, which is incorrect.
12 workers take 4 hours to complete a job. How long would it take 15 workers to complete the job?
Answer:
3.75
Step-by-step explanation:
Find the greatest number of students to whom 45 soccer balls and 60 tennis balls can be equally divided.
Answer:
15 studentsStep-by-step explanation:
Find GCF of 45 and 60:
45 = 3*3*560 = 2*2*3*5GCF(45,60) = 3*5 = 15
Find Greatest common multiple or GCF
[tex]\\ \sf\longmapsto 45=3\times 3\times 5[/tex]
[tex]\\ \sf\longmapsto 60=2\times 2\times 3\times 5[/tex]
Now
[tex]\\ \sf\longmapsto GCF=3\times 5=15[/tex]
7. Kylie bikes at a speed of 100 yards per minute. Robert bikes at a speed of 240 feet per minute. In feet per second, how much faster does Kylie bike than Robert?
Suppose the discrete random variable X has the probability distribution below:
X 0 1 2 3 4
P(X) 0.11 0.52 0.19 0.12 0.06
1pt a right parenthesis space F i n d space P left parenthesis X less than 3 right parenthesis
2pt b right parenthesis space F i n d space P left parenthesis X greater or equal than 1 right parenthesis
2pt c right parenthesis space F i n d space mu subscript X
2pt, 1pt d right parenthesis space F i n d space sigma subscript X squared space a n d space sigma subscript X
(a) P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.52 + 0.19 = 0.82
(b) P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.52 + 0.19 + 0.12 + 0.06 = 0.89
(c) µ = 0×0.11 + 1×0.52 + 2×0.19 + 3×0.12 + 4×0.06 = 1.5
(d) σ² = (0²×0.11 + 1²×0.52 + 2²×0.19 + 3²×0.12 + 4²×0.06) - µ² = 1.07
σ = √(σ²) ≈ 1.03
(a) If y varies directly as x, and y=24 when x=16, find y when x=12.
(b) In a formula, z varies inversely as P. If Z is 200 when P is 4, find z when P is 10.
Answer:
(a) 18
(b) 80
Step-by-step explanation:
(a) let y=kx
so, 24=16k
or, k=24/16 or, k=3/2
now, putting x=12
y=kx
or, y=(3/2)×12
or, y=3×12/2
or, y=36/2
or, y=18
(b) let P=k/z
so, 4=k/200
or, k=800
when P = 10
P=k/z
or, 10=800/z
or, z=800/10
or, z=80
Which expression is the best estimate of the product of 7/8and 8 1/10?
Answer:
7 7/80 or 7.0875
Step-by-step explanation:
product is the result of multiplication
7/8 * 81/10 = 567/80 = 7 7/80 or 7.0875
Find the minimum turning point of y = x^2 + x - 12
Answer:
(x+4)(x-3)
Step-by-step explanation:
x^2+x-12
=x^2+(4-3)x-12
=x^2+4x-3x-12
=x (x+4)-3 (x+4)
=(x+4)(x-3)
Answer:x=6
Step-by-step explanation:
A research report claims that 20% of all individuals use Firefox to browse the web. A software company is trying to determine if the proportion of their users who use Firefox is significantly different from 0.2. In a sample of 200 of their users, 26 users stated that they used Firefox.
Required:
Using this data, conduct the appropriate hypothesis test using a 0.01 level of significance.
Answer:
Reject H0
Step-by-step explanation:
Z = -2.474873734
survey (positive) 26
n (total) 200
p 0.2
p /point est. 0.13
POPULATION(min) 4000
np >= 5 ? YES 40
n(1-p) >= 5 ? YES 160
Sample is valid
Confidence Level - "P" values
99% 2.58
Confidence Interval - "P" values
(0.0686 , 0.1914 )
Reference=0.2 Reject H0
r-(-4x - (y + y)); use x = -4, and y = -3 evaluate
Answer:
insert values of x and y
r - ( -4(-4) - ( -3-3))
r - ( 16 +6 )
r - 22
Doneeeeeeeeeeeeeeeeee3
HELP! I really need the answer quick!!!!!!!
Answer:
139°
Step-by-step explanation:
8x+51+6x-25=180
14x+26=180
14x=180-26
14x=154
x=154/14
x=11
<AOB= 8x+51 = 8(11)+51 = 88+51 = 139
Divide and check by multiplying the quotation by the divisor 8m^4+12m^3 over 4m
Answer:
2m^3 + 3m^2
Step-by-step explanation:
8m^4+12m^3
---------------------
4m
2m^3 + 3m^2
Check
4m(2m^3+3m^2)
8m^4 + 12 m^3
3/4 + 20 (2/5 x 4/7)
Answer:
i believe the answer is 5.3
Find the measure of angle x in the figure below:
A triangle is shown. At the top vertex of the triangle is a horizontal line aligned to the base of the triangle. The angle formed between the horizontal line and the left edge of the triangle is shown as 57 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 61 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 67 degrees. The interior angle on the left is labeled as x.
35°
47°
51°
62°
Your answer iss...
It is 51º
Write the quadratic function f(x) = x2 - 2x - 8 in factored form.
A) f(x) =(x - 4)(x - 2)
B) f(x) =(x + 4)(x - 2)
C) f(x) =(x - 4)(x + 2)
D) Rx) =(x + 4)(x + 2)
Answer:
Hello,
answer C
Step-by-step explanation:
[tex]f(x)=x^2+2x-8\\\\=x^2-4x+2x-8\\\\=x(x-4)+2(x-4)\\\\=(x-4)(x+2)\\\\Answer\ C[/tex]
Please help me, by completing this proof!
Answer:
Step-by-step explanation:
Statement Reasons
1). Line PQ is an angle bisector of ∠MPN D). Given
2). ∠MPQ ≅ ∠NPQ A). Definition of angle bisector
3). m∠MPQ = m∠NPQ F). Definition of congruent
angles.
4). m∠MPQ + m∠NPQ = m∠MPN C). Angle addition postulate
5). m∠MPQ + m∠MPQ = m∠MPN G). Substitution property of
equality
6). 2(m∠MPQ) = m∠MPN B). Distributive property
7). m∠MPQ = [tex]\frac{1}{2}(m\angle MPN)[/tex] E). Division property of equality
Please help!!
A) In a movie, a mad scientist enlarges a cow to 100 times its normal size. How much stronger would its legs be than a normal cow?
B) How many times more would it weigh than a normal cow?
C) Can you see how results A and B would yield a cow that would collapse under its own weight?
Answer:
100 times everything.
Step-by-step explanation:
If the cow is 100 times larger than its normal size, obviously everything else should be 100 times stronger and heavier.
