Answer:
y = 9x - 49
Step-by-step explanation:
y2 - y1/ x2 - x1
14 - 5/ 7 - 6
9/1
= 9
y = 9x + b
5 = 9(6) + b
5 = 54 + b
-49 = b
Arbitron Media Research Inc. conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for a sample of 10 men was 35 minutes per day. The standard deviation was 10 minutes per day. The mean listening time for a sample of 12 women was also 35 minutes, but the standard deviation of the sample was 12 minutes. At the 0.10 significance level, can we conclude that there is a difference in the variation in the listening times for men and women
Answer:
No ;
Step-by-step explanation:
Given ;
s2 = 10 ; n2 = 10 ; s1 = 12 ; n1 = 12
Hypothesis :
H0 : σ1² = σ2²
H1 : σ1² ≠ σ2²
The test statistic :
Ftest = s1² / s2² = 12² / 10² = 144 / 100 = 1.44
The Pvalue using the Pvalue from Ftest calculator :
Numerator df = 12 - 1 = 11
Denominator df = 10 - 1 = 9
Pvalue = 0.2969
At α = 0.1
If Pvalue > α ; Fail to reject H0
0.2969 > 0.1 ; Hence, we fail to reject the Null
Hence, we cannot conclude that variation exists
At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total of $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown: x + 2y = 3.25
Which of the following could be the second equation in his system of equations?
3x + 4y = 7.25
4x + 3y = 7.25
3x - 4y = 7.25
(3 + 4)x = 7.25
Answer:
p + 2c = 3.25 Start with these two equations
3p + 4c = 7.25
p = -2c + 3.25 Solve for one variable
3(-2c +3.25) + 4c = 7.25 Substitute
-6c + 9.75 + 4c = 7.25
-2c = -2
c = 1
p + 2(1) = 3.25 Substitute
p + 2 = 3.25
p = 1.25
A bag of chips costs $1
A pickle costs $1.25
Step-by-step explanation:
pls mark me brainless
3(x−6)=−12 what is the answer pls
Answer:
[tex]3(x - 6) = - 12 \\ 3x - 18 = - 12 \\ 3x = - 12 + 18 \\ 3x = 6 \\ x = \frac{6}{3} \\ x = 2[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
Answer:
x = 2
3 (x-6) = -12
3x - 18 = -12
3x - 18 + 18 = -12 + 18
3x = 6
3x/3 = 6/3
Hence, x= 2
Step-by-step explanation:
pls mark as brainliest
hope it helps u
The sum of Derek and Quency's ages is 19 years. If the difference
of their ages is 5 years what are their ages?
A garage door code has 5 digits. If no digit is repeated, how many codes are possible?
Hint: the possible digits are 0-9
Answer:
There are 30240 possible codes.
Step-by-step explanation:
For the first digit, there are 10 number choices possible:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
For the second digit, 9 number choices, because one of the digits cannot be repeated.
For the third, 8 number choices, because two of the digits cannot be repeated.
For the fourth, 7 number choices, because three of the digits cannot be repeated.
For the fifth, 6 number choices because four of the digits cannot be repeated.
Now multiply all the numbers, and you can see that there are 10*9*8*7*6, or 30240 codes possible.
Find the gradient of the line segment between the points (-2,7) and (1,5).
Give your answer in its simplest form.
The answer is -2/3, hope this helps!
what is the volume of a cylinder with a length of 6 inches and a width of 5 inches?
Each morning papa notes the birds feeding on his birdfeeder. So far this month he has seen 59 blue jays, 68 black crows, 12 red robins and 1 cardinal
what is the probability of a blue jaybeing the next bird papa sees?
A. 0.421
B 0.59
C. 0.059
D. 0.042
7)
A rectangular container is 40 cm by 30 cm by 25 cm. It is filled with
3
water up to 5
of its height. Half of the water is then poured out. How
much water is left in the container? Give your answer in litres.
Answer: 9 L
Step-by-step explanation:
Given
The dimension of the rectangular container is [tex]40\times 30\times 25\ cm^3[/tex]
It is filled with [tex]\frac{3}{5}[/tex] of the height
Water present in the container
[tex]\Rightarrow 40\times 30\times 25\times \dfrac{3}{5}\\\\\Rightarrow 18000\ cm^3[/tex]
Also, [tex]1\ L=1000\ cm^3[/tex]
[tex]\therefore 18,000\ cm^3=18\ L[/tex]
Now, half of the water is poured out
So, half is left
[tex]\Rightarrow \dfrac{18}{2}=9\ L[/tex]
Thus, 9 L of water is left in the container
What is the area of the trapezoid?
Answer:
area = 432 ft²
Step-by-step explanation:
area = 1/2(B1 + B2)(H)
area = 1/2(20 + 16)(24) = 432 ft²
The angle of elevation to a building in the distance is 22°. You know that the building is approximately 450ft tall. Estimate the distance to the base of the building
Answer:
1114 ft
Step-by-step explanation:
tan 22°=450/d
==>d=450/tan 22°=1113.7890... ≈1114 (ft)
Lin has a die with 6 sides, each labeled 1, 2, 3, 4, 5, and 6. What is the probability that she will roll a 3? *
Answer:
Probability of rolling number 3 = [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Lin has a die with 6 sides.
Each side of the die is labeled with 1, 2, 3, 4, 5 and 6.
Since, probability of rolling any number = [tex]\frac{\text{Favorable event}}{\text{Total number of events}}[/tex]
Therefore, probability of rolling number 3 = [tex]\frac{\text{Favorable event}}{\text{Total number of events}}[/tex]
Favorable event of getting 3 in single roll = 1
Total events that can happen in one roll = 6
Therefore, probability of rolling number 3 = [tex]\frac{1}{6}[/tex]
For this parallelogram (a) choose the best name and then (b) find the value of x and y.
Answer:
rectangle
7x + 4 = 36/2
7x + 4 = 18
7x = 14
x = 2
there is no y
The sum of twice a number, n, and 14 is 30. Write an equation that models this
statement. Then explain how you might use reasoning to find the value of n.
Answer:
2n +14 = 30 I can use inverse operations and solve for n.
Step-by-step explanation:
twice means 2 so twice a number,n, means 2 times n thus 2n.
sum means add so, 2n + 14
is means equal so 2n + 14 = 30
If you solve it you will find n = 8
María Rodriquez Single-payment loan of $1,000 Interest rate of 7% Ordinary interest for 108 days What is the interest owed? What is the maturity value?
Answer:
$1,020.71
Step-by-step explanation:
Solving the equation:
A = 1000(1 + (0.07 × 0.29589)) = 1020.7123
A = $1,020.71
Susan collected 89 stickers for 28 weeks. How many stickers did she collect in total round off your answer to the nearest hundred answer for free
Answer:
2500 ( nearest hundred)
Step-by-step explanation:
Given that :
Number of stickers collected per week = 89
Number of weeks for which stickers were being collected = 28
To obtain the total number of stickers collected, we take the product of the number of weeks for which the stickers were beug vcilled and the number of stickers collected per week
The number of stickers collected :
89 * 28 = 2492
2492 = 2500 ( nearest hundred)
Helpppppp againnn plzzz
Answer:
x=8.17
Step-by-step explanation:
uztstskycuvkhifig
Answer:
x = 8.17
Step-by-step explanation:
We will be using pythagoras theorem:
[tex]a^{2} + b^{2} = c^{2}[/tex]
=> [tex]4.25^{2} + x^{2} = 9.21^{2}[/tex]
=> [tex]x^{2}[/tex] = 84.8241 - 18.0625 = 66.7616
=> x = [tex]\sqrt{66.7616}[/tex] = 8.17077719.. = 8.17 (3 s.f)
Find the least common denominator (LCD) of
Answer:
12
Step-by-step explanation:
A game is played with the following rules. Three ordinary coins are flipped and count as a single "turn" in the game.
Each coin could land on heads or tails. After their turn a player is given a certain number of points depending on the
outcome.
•If the result is 3 heads, the player receives +4 points.
• If the result is 2 heads, the player receives +2 points.
• If the result is anything else, the player receives -1 point.
What is the expected value of the number of points a player will receive after a turn?
=======================================================
Explanation:
H = heads
T = tails
Something like HHT means we get two heads in a row at first, followed by one tail. The order matters. Since there are 2 sides per coin, and 3 coins, this leads to 2^3 = 8 different possible ways to flip three coins.
Those 8 outcomes are:
HHHHHTHTHHTTTHHTHTTTHTTTAgain the order matters.
------------
Now let's define the following events
A = event of getting three headsB = event of getting exactly two headsC = event of getting 1 head, or getting 0 headsThere's only one way to get three heads, and that's HHH. So P(A) = 1/8.
There are three ways to get exactly two heads. Those three ways are: HHT, HTH, THH. This means P(B) = 3/8.
From those two probabilities, we then know that P(C) = 4/8 = 1/2 since there are 1+3 = 4 ways to get two or more heads, leaving 8-4 = 4 ways to get the other situations.
Now let's define function notation V(A) to mean "the net value of event A occurring". It's the number of points you receive if event A happens. We are given the following info:
V(A) = 4V(B) = 2V(C) = -1From here, multiply the probability values with their corresponding net values
P(A)*V(A) = (1/8)*(4) = 0.5P(B)*V(B) = (3/8)*(2) = 0.75P(C)*V(C) = (1/2)*(-1) = -0.5Finally, add up those results to get the expected value: 0.5+0.75+(-0.5) = 0.75
Each time a turn happens, we expect on average to get 0.75 points
Imagine a scenario where you play the game 10,000 times. If you record the result of each turn and then compute the arithmetic mean, you should get somewhere close to 0.75; it likely wont be 0.75 exactly due to the nature of theoretical probability and empirical probability not being perfectly aligned. However, due to the law of large numbers, the two should be very close when you do a large number of trials.
Because we're dealing with averages, it is possible to get a decimal value as the answer even though the point values of events A,B,C are integers.
Use the following function rule to find f(3).
f(x) =
8
x
+ 9
f(3) =
Answer:
f(3)= 33
Step-by-step explanation:
hello :
f(x) =8x+9
put x = 3 you have : f(3) =8(3)+9 = 24 + 9 =33
I’ll give the Brainliest to who answers these questions with reasonable explanations.
1. A bag has 16 marbles in it: 6 red, 4 blue, 3 yellow, and 3 green. A marble is drawn and put back, and then another marble is drawn. What is the probability that a blue marble was drawn followed by a yellow marble?
2. A bag has 16 marbles in it: 6 red, 4 blue, 3 yellow, and 3 green. A marble is drawn and not put back, and then another marble is drawn. What is the probability that a blue marble was drawn followed by a yellow marble?
Thank you.
Answer:
1. 0.0469 (4.d.p)
2. 0.05
Step-by-step explanation:
1. First we'll find the probability of drawing a blue marble.
P = (No. favourable events)/(Total events)
In this case it's:
P = (No. blue marbles)/(Total Marbles)
Therefore P(Blue) = 4/16 = 0.25
Now we find the probability of drawing a yellow marble:
The total number will be the same because the blue marble will have been put back.
P(Yellow) = 3/16 = 0.1875
Now, since we are calculating the probability of both happening we multiply together the two individual probabilities to get the combined probability of both:
0.25 x 0.1875 = 0.0469 (4.d.p)
2. The probability of drawing a blue marble is still the same so we can keep that: P(Blue) = 0.25
But this time, the marble is not replaced. This means that the total number of marbles has changed when drawing the yellow marble:
P(Yellow) = 3/15 = 0.2
Now we multiply them together again to find the combined probability of both happening:
0.25 x 0.2 = 0.05
Hope this helped!
A rectangle with area
126
square inches has a length that is four less than two times the width. Find the length and the width of the rectangle.
Answer:
Step-by-step explanation
width is 9. length is 14
If f(x)f(x) is an exponential function where f(3.5)=10f(3.5)=10 and f(7.5)=19f(7.5)=19, then find the value of f(13)f(13), to the nearest hundredth.
Answer:
f(13)≈45.92
Step-by-step explanation:
is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.
Answer:
it's a parallelogram.
Step-by-step explanation:
reason Since the vertically opposite angles are equal definitely the sides must be parallel to each other there by making it a parallelogram
HELPPP W TRIANGLE ABC graph!!??
-3,4. i adding this cause this answer needs atleast 20 characters
Line n intersects lines 1 and m, forming the angles
shown in the diagram below.
(6x + 42)
18x - 12)
Which value of x would prove ! || m?
1) 2.5
2) 4.5
3) 6.25
4) 8.75
What is the arc length if θ = 6 pi over 5 and the radius is 2 cm? (1 point)
No Links or I will report you Algebra 1 help 2 questions Interpret Exponential Function Constant
Answer:
1) The function is decreasing exponentially at a rate of 15% every decade.
2) The function is increasing exponentially at a rate of 20% every year.
Step-by-step explanation:
1) 1–0.85 = 0.15
0.15 x 100 = 15%
2) 1.2–1 = 0.2
0.2 x 100 = 20%
What is the mean of the following data set: 100, 121, 105, 113, 108
Answer:
Mean = 109.4
Step-by-step explanation:
Mean = (Sum of all values)/(Number of values)
Mean = (100 + 121 + 105 + 113 + 108)/(5)
Mean = (547)/5
Mean = 109.4
Answer:
109
Step-by-step explanation:
Mean is just finding the average of the data set.
100+121+105+113+108=547, first add up all the numbers
547/5=109.4, then divide that sum by the amount of numbers in the set
Which equation has a greater rate of change than the linear function in the table?
х
-5
-3
у
-18
-8
1
12
3
22
A
y = 5х – 3
B
y = -4x – 18
С
y = -3.2 + 2
D
y = 6x + 13
