Olivia completed a high dive from a platform at a recent competition.
The graph below shows her distance from the pool, in meters, as a
function of time, in seconds.
Answers
Answer:
B
Step-by-step explanation:
Answer:
B). It takes Olivia about 3.2 seconds to enter the pool.
Related Questions
7(-9a-3)-2a please help
Answers
Answer:
-65a -21 "that is the simplified version"
Answer:
-65a - 21
Step-by-step explanation:
7 ( -9a - 3 ) -2a
Distribute, multiply every term in the parenthesis by the term right outside of the parenthesis,
7 ( -9a - 3 ) - 2a
-63a - 21 - 2a
Simplify
-65a - 21
what is the quotient of 223, 692 divided by 42
Answers
Answer:
5,326
Step-by-step explanation:
The United States government wanted to determine what proportion of Americans approve of the current President so they conducted a survey of 2,000 randomly chosen Americans. Assume that the true proportion of Americans who approve of the president is 0.46. Determine what the mean and the standard deviation of the sampling distribution of the sample proportion would be. Round to 2 decimal places when necessary. The mean of the sampling distribution is .43 and the standard deviation of the sampling distribution is .05 .
Answers
Answer:
The mean of the sampling distribution is 0.46
The standard deviation of the sampling distribution is 0.01
Step-by-step explanation:
We use the central limit theorem to solve this question:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
[tex]p = 0.46, n = 2000[/tex]
So
Mean: [tex]\mu = p = 0.46[/tex]
Standard deviation: [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.46*0.54}{2000}} = 0.01[/tex]
The mean of the sampling distribution is 0.46
The standard deviation of the sampling distribution is 0.01
The mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively
Proportion and standard deviation
The formula for calculating the standard deviation for a sample proportion is given as:
[tex]\sigma =\sqrt{\frac{p(1-p)}{n} }[/tex]
p is the proportionn is the sample sizeNote that p = mean = 0.46
To get the standard deviation:
[tex]\sigma =\sqrt{\frac{0.46(1-0.46)}{2000} }\\\sigma =\sqrt{\frac{0.46(0.54)}{2000} }\\\sigma = 0.01[/tex]
Hence the mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively.
Learn more on sample proportion here https://brainly.com/question/22985943
The sum of all the solutions of the equation (6x+k)(3x-11)=0 is 1. Find K
BRANLIEST PLUS 20 POINTS
Answers
Answer:
16
Step-by-step explanation:
6x+k = 0
x = -k/6
3x-11 = 0
x = 11/3
-k/6 + 11/3 = 1
k - 22 = -6
k = 16
The value of k is "8".
Find K:[tex](6x+k)(3x-11)=0\ \ is \ \ 1 \\\\K=?[/tex]
[tex]\to (6x+k)(3x-11)=0 \ \ is \ \ 1 \\\\\to (6x+k)=0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ (3x-11)=0\\\\\to 6x=-k\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x=11\\\\\to x=-\frac{k}{6}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=\frac{11}{3}\\\\[/tex]
[tex]\to - \frac{k}{6}+ \frac{11}{3}=1\\\\\to \frac{-2k+ 22}{6}=1\\\\\to -2k+ 22=6\\\\\to -2k =6-22\\\\\to -2k =-16\\\\\to k=\frac{16}{2}\\\\\to k=8[/tex]
Therefore, the final value of k is "8".
Learn more about the find k here:
brainly.com/question/20041760
a car is 180inches long. a truck is 75% longer then the car. how long is the truck?
Answers
Answer:
135 in.
Step-by-step explanation:
Every month, $45 is withdrawn from tom's savings account to pay his gym membership. He has enough savings to withdraw no more than $360. For how many months can Tom pay for his gym membership?
Answers
Answer: 8 months.
Step-by-step explanation: Assuming his budget for the gym membership is $360, by dividing 360 (His budget) by the monthly cost of 45, it should leave a quotient of 8. Thus meaning he can pay for 8 months worth of gym membership.
Answer:
8 mounths
Step-by-step explanation:
Since he has $360 saved and he has to pay $45 for each month that means that in order to find out for how many months Tom can go to the jym we just have to divide 260 by 45 and so be get...
360 / 45 = 8
Find the perimeter of the following shape:
Answers
Answer:
P = 13 + 13 + 10
P = 36
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
you add up all the side lengths because that’s what perimeter is. 13+13+10, equals 36!
4. Use the table of values for a quadratic function to identify the following.
X
direction the graph opens:
-3
axis of symmetry:
vertex:
ON W
range:
y-intercept:
(as an ordered pair)
-3
-4
1
-3
x-intercepts:
(as ordered pairs)
2
3
4
interval of increase:
interval of decrease:
Answers
pls help 20 points I just need an explanation
Answers
Answer:
i=prt
i = 1,000 x 0.045 x 1.5
Step-by-step explanation:
Please answer quickly Thank You
Answers
Answer:
find and interpret the value of × so that t(×) = 114.
Need help on question hurry
Answers
Answer: C
Step-by-step explanation: it is c trust me
find the height of the cylinder if the volume is 340, and the length is 3
Answers
Answer:
113
Step-by-step explanation:
divide the volume with the length
When a penny is flipped two times, the probability of flipping exactly one tail is__?
Answers
Answer:
[tex]P(Tail = 1) = \frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]Flips = 2[/tex]
Required
Probability of exactly one tail
This event can be represented as:
(Head and Tail) or (Tail and Head)
In the flip of a coin (penny), the following probabilities exist:
[tex]P(Head) = \frac{1}{2}[/tex]
[tex]P(Tail) = \frac{1}{2}[/tex]
So, the required probability is:
[tex]P(Tail = 1) = (P(Head) * P(Tail)) + (P(Tail) * P(Head))[/tex]
Substitute values for P(Head) and P(Tail)
[tex]P(Tail = 1) = (\frac{1}{2}*\frac{1}{2}) + (\frac{1}{2}*\frac{1}{2})[/tex]
[tex]P(Tail = 1) = (\frac{1}{4}) + (\frac{1}{4})[/tex]
[tex]P(Tail = 1) = \frac{1}{4} + \frac{1}{4}[/tex]
Take LCM
[tex]P(Tail = 1) = \frac{1+1}{4}[/tex]
[tex]P(Tail = 1) = \frac{2}{4}[/tex]
[tex]P(Tail = 1) = \frac{1}{2}[/tex]
Black skin color is dominant to pink skin color in pigs. Two heterozygous black pigs are crossed. a. What is the probability that their offspring will have pink skin? b. What is the probability that the first and second off- spring will have black skin? c. If these pigs produce a total of three piglets, what is the probability that two will be pink and one will be black?
Answers
Answer:
[tex]P(Pink) = \frac{1}{4}[/tex]
[tex]P(Both\ Black) = \frac{9}{16}[/tex]
[tex]Probability = \frac{3}{64}[/tex] --- Two pink and One black
Step-by-step explanation:
Represent the pink skin with P and the black skin with B.
Since black skin is dominant to pink skin, there will be more occurrence of B than P
The punnet square for the breeding of the two pigs is then represented as:
[tex]\begin{array}{cc} {B} & {B} \ \\ {B} & {P} \ \ \end{array}[/tex]
Solving (a): Probability of Pink
In the above square, there is only 1 occurrence of P out of a possible of 4.
So, the probability is:
[tex]P(Pink) = \frac{n(P)}{4}[/tex]
[tex]P(Pink) = \frac{1}{4}[/tex]
Solving (b): Probability that first and second are black
In the above square, there is only 3 occurrence of B out of a possible of 4.
[tex]P(Black) = \frac{n(B)}{4}[/tex]
[tex]P(Black) = \frac{3}{4}[/tex]
So, the probability that both are black is:
[tex]P(Both\ Black) = P(Black) * P(Black)[/tex]
[tex]P(Both\ Black) = \frac{3}{4} * \frac{3}{4}[/tex]
[tex]P(Both\ Black) = \frac{9}{16}[/tex]
Solving (c): Probability of two pink and 1 black
This is calculated as:
[tex]Probability = P(Pink) * P(Pink) * P(Black)[/tex]
[tex]Probability = \frac{1}{4} * \frac{1}{4} * \frac{3}{4}[/tex]
[tex]Probability = \frac{3}{64}[/tex]
A) The probability that their offspring will have pink skin is; ¹/₄
B) The probability that the first and second off- spring will have black skin is;
9/16 or 56.25%
C) The probability that two will be pink and one will be black If the pigs produce a total of three piglets is; ³/₆₄ or 4.6875%
Mendel's law of dominanceTo answer this question, we need to first understand Mendel's law of dominance. This law states that in a heterozygote, one trait will conceal the presence of another trait for the same characteristic. This means that the dominant trait always conceal the recessive trait.
Now in this question, we are told that;
black skin colour is dominant to Pink skin colour in pigs.Let's denote the black color gene by ‘P’ and pink colour by ‘p’. Therefore, if cross is held between these two genes then according to mendel's law, the heterozygous pigs is specified as "Pp"
Now when the heterozygous pigs specified as "Pp" are crossed, we have;
Pp × Pp = PP, Pp, Pp, pp
where;
PP and Pp denotes black pigs is denoted pp denotes pink pigs
(a) From the 4 cross possibilities above;
Probability that their offspring will have pink skin = ¹/₄
(b) From the 4 cross possibilities gotten earlier;
Probability that their offspring will have black skin = ³/₄
Thus;
Probability that the first and second off- spring will have black skin is;
³/₄ × ³/₄ = 9/16 or 56.25%
(c) We are told that the pigs produced a total of three piglet. Thus, the probability that two will be pink and one black will be black is;
P(2 pink and 1 black) = ¹/₄ × ¹/₄ × ³/₄ = ³/₆₄ or 4.6875%
Read more about Mendel's law of dominance at; https://brainly.com/question/14436268
In the supply-and-demand schedule shown above, at the equilibrium price, the quantity supplied is _____ and the quantity demanded is _____. 0, 500 200, 200 400, 0
Answers
Answer:
200, 200
Step-by-step explanation:
Siyoni, Adam and Ben share some money in the ratio 5:3:4 In total, Adam and Ben receive $84 Work out how much they cach get. (help me i’ll give brainliest!)
Answers
You take $84, then multiply it by the square of 2, and then you divide it by 4.25 8ths, and then you take 8ths, and subtract it by 7.284, and you will get $29.7. Your welcome :)
Suppose restaurant A's chicken salad contains 6more grams of fat than restaurant B's chicken salad. Find the number of grams of fat in each salad if there are 56grams of fat in the two salads by solving the equation x plus (x plus 6 )equals 56,where xrepresents the number of fat grams in the restaurant B's chicken salad and x plus 6represents the number of fat grams in restaurant A's chicken salad.
Answers
Answer:
Restaurant A: 31 grams of fat
Restaurant B: 25 grams of fat
Step-by-step explanation:
[tex]x + (x + 6) = 56\\2x + 6 = 56\\2x = 50\\x = 25[/tex]
Joanie has 15 hair ribbons. She has 7 less hair ribbons than her friend, Sara. Which equation
can be used to determine the number of hair ribbons Sara has, s?
S-7 = 15
7 - S =15
7s = 15
S + 7 = 15
Answers
4.(06.02 MC)
The equation of line AB is y = 2x + 4. Write an equation of a line parallel to line AB In slope-Intercept form that contains point (3,-2). (4 points)
O y = 2x + 4
O y = 2x - 8
Answers
Answer:
The equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:
y = 2x- 8Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven the equation of a line
y = 2x + 4
comparing with the slope-intercept form of the line equation
The slope of the line AB is m = 2
We know that the parallel lines have the same slope.
Thus, the slope of the new line is also 2.
now we have,
The slope of new line m = 2The point = (3, -2)Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 2 and the point (x₁, y₁) = (3, -2)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
y - (-2) = 2(x - 3)
y + 2 = 2x - 6
subtracting 2 from both sides
y + 2 - 2 = 2x - 6 - 2
y = 2x- 8
Therefore, the equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:
y = 2x- 8Answer two questions about Systems AAA and BBB: System AAA \text{\quad}start text, end text System BBB \begin{cases}5x+y=3\\\\4x-7y=8\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 5x+y=3 4x−7y=8 \begin{cases}5x+y=3\\\\x+8y=-5\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 5x+y=3 x+8y=−5 1) How can we get System BBB from System AAA?
Answers
Answer:
First One is C and the second one is A
Step-by-step explanation:
I got it wrong then found out the answers
Systems of equations are collection of multiple equations
We can get system B from system A by: subtracting both equations in system A and by bringing the first equation of system A
The systems of equations are given as:
System A
5x + y = 3
4x - 7y = 8
System B
5x + y = 3
x + 8y= -5
Subtract 4x - 7y = 8 from 5x + y = 3
So, we have:
[tex]\mathbf{5x - 4x + y+7y = 3 - 8}[/tex]
[tex]\mathbf{x + 8y =- 5}[/tex]
This means that, we can get system B from system A by:
Subtracting both equations in system AAnd by rewriting the first equation of system ARead more about systems of equations at:
https://brainly.com/question/12895249
When completely factored, 8x + 2y - 4
Answers
Answer:...
-4+8x+2xy
Step-by-step explanation:
how do i write the fraction 3/4 as a product of a whole number and a unit fraction
Answers
Answer:
3/1*1/4
Step-by-step explanation:
when you multiply 3/1 by 1/4
Answer:
3\4
Step-by-step explanation:
John has 78 total cows, and was excited to have 65 calves this season. What percentage calf crop
did John achieve?
Answers
Answer:
83%
Step-by-step explanation:
65/78=.83333333333333
0.833333333 turnes into 83% once rounded and multipyled by 100
ACTON
Find the Percentage, Rate Of Base
1. What is 25% of 1258
Answer:________
2. 50 is what percent of 4502
Answer:________
3. 75 is 30% of what number?
Answer:________
Answers
Answer:
314.5
2252.5
250
Step-by-step explanation:
What is the multiplicative rate of change of the
function?
Answers
Answer:
the multiplicative rate of change for the exponential change is 3
Step-by-step explanation:
undefined
defined; 7 x3
defined; 3 x 7
defined; 5 x 5
Please help!!!!!
(50 points)
Answers
Answer:Hope this helps
Step-by-step explanation:
ANSWER ASAP PLEASE!! CORRECT ANSWER WILL GET BRAINLIEST!
Professor Duncan decided to use a curve to grade a recent test. The lowest score out of 100 was 35 and the highest score was 65. He used the function n(g)=1.2g+3, where n(g) is the curved test score and g is the original test score. Which is the range of the curved test scores?
A. 35 to 65
B. 42 to 78
C. 45 to 81
D. 46 to 82
Answers
Answer:
C
Step-by-step explanation:
Hope it helps!!
can anyone help me with this please marking brainly :)
Answers
Answer:
I can answer Part B since I can't explain Part A in words.
Step-by-step explanation:
Angle 2 = 109 degrees (since it is a straight angle witch is 180 degrees. What you need to do is subtract the given with 180.)
Angle 3 = 81 degrees (I don't know how to explain this. Sorry.)
Angle 4 = 81 degrees (I also don't know how to explain this.)
Find the solution of the system of equations.
4x – 2y = -6
x + 4y = -24
Answers
Answer:
-4,-5
Step-by-step explanation:
Looking at the system of equations, I can't see any way to add the equations together to eliminate a variable. So, I decided to use substitution. First, I created 2 new equations, x = -24 - 4y and Y=2X+3 by rewriting each equation to solve for x and y. Now, I can take one of these equations and insert it in the opposite equation and solve for a variable.
4(-24 - 4y) - 2y = -6
-96 -16y -2y = -6
-18y = 90
y = -5
Now, I can just insert this in one of my equations and solve for x, and get my solution, which gets me x = -4
Courtney walks 5 laps around 1/4 mile track. how far does she walk?
Answers
Answer:
1 1/4 miles
Step-by-step explanation: