Step-by-step explanation:
The constant in an expression is the number without any letters attached to it.
Looks like B and E are the only ones with constant. The other 3 only have numbers attached to numbers
4 red bricks have a mean weight of 5 kg.
5 blue bricks have a mean weight of 9 kg.
1 green brick has a weight of 6 kg.
Donna says,
"The mean weight of the 10 bricks is less than 7 kg. "
Is Donna correct?
You must show how you get your answer.
Donna is not correct, as the mean is of 7.1 kg, which is greater than 7 kg.
How to obtain the mean of a data-set?The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.
The sum of the data-set in this problem is given as follows:
4 x 5 + 5 x 9 + 1 x 6 = 71 kg.
The number of observations is given as follows:
10.
Hence the mean is given as follows:
71/10 = 7.1 kg > 7 kg.
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Use synthetic division to find the quotient and remainder when x³ + 9x² + 12x - 5 is divided by x+7 by completing the parts below.
(a) Complete this synthetic division table.
-7)
19 12 -5
000
OOOO
(b) Write your answer in the following form: Quotient +
3
x³ + 9x² +
+ 9x + 12x-5
x+7
=
x+7
Remainder
x+7
X
The division can be written as: x³ + 9x² + 12x - 5 = (x + 7)(x² + 7x + 10) - 75
What is synthetic division ?
Synthetic division is a simplified method of polynomial division that can be used to divide a polynomial by a linear binomial. It's used to find the quotient and remainder of a polynomial division without having to perform long division.
In synthetic division, the coefficients of the polynomial are arranged in a table along with the coefficients of the divisor, and then divided and multiplied using the same rules as in long division. The remainder of the division is the last entry in the table, and the quotient is the polynomial whose coefficients are the entries in the table, excluding the remainder.
To perform synthetic division, we divide x³ + 9x² + 12x - 5 by x + 7 by dividing each coefficient by x + 7 and then writing the result in a table with the dividend on top and the divisor on the bottom. Here's what the table would look like:
+ 7 | 1 9 12 -5
-------------------
x^3 | x^3 9 12 -5
x^2 | x^2 +7x 3 -35
x | x +7 10 -70
-------------------
10 43 -75
The quotient of the division is x² + 7x + 10, and the remainder is -75.
Therefore, the division can be written as: x³ + 9x² + 12x - 5 = (x + 7)(x² + 7x + 10) - 75
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Two quadrilaterals are described
The only statement that must be based on the quadrilateral properties is; Option B: Base angles of quadrilateral Z are congruent
How to find the properties of a quadrilateral?Some of the properties of a quadrilateral are;
1) They have four vertices.
2) They have four sides.
3) The sum of all interior angles is 360°.
4) They have two diagonals.
5) A quadrilateral can be regular or irregular.
Now, from the description of Quadrilaterals T and Z, we can say that;
- The base angles of quadrilateral T are not congruent since at least one pair of parallel side is congruent.
- Base angles of quadrilateral z are congruent since opposite sides are congruent.
- Consecutive angles of quadrilateral Z are not congruent
- Opposite angles of quadrilateral T are not supplementary.
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person a starts walking north at 4 ft/s from a point p. five minutes later, person b starts walking south at 5 ft/s from a point 500 feet due east of p. at what rate are the people moving apart 15 minutes after person b starts walking?
The rate at which the people are moving apart 15 minutes after person B starts walking is √2660 feet per second. To the nearest tenth of a foot per second, this is 51.3 feet per second.
Let's call the rate at which the people are moving apart "d".
15 minutes after person B starts walking, person A has been walking for 15 + 5 = 20 minutes, for a total distance of 20 * 4 = 80 feet north from point P.
At the same time, person B has been walking for 15 minutes, for a total distance of 15 * 5 = 75 feet south from point 500 feet due east of P.
The distance between the two people is the square root of the sum of the squares of their north-south and east-west separations, or:
d = √(80^2 + (500)^2) = √(80^2 + 250000) = √250100 = 500
Since the rate at which they are moving apart is the derivative of their separation with respect to time, we can find it by taking the derivative of the above equation with respect to time:
d/dt = √(2 * 80 * 4dt / dt + 2 * 500 * 5dt / dt) = √(160 + 2500) = √2660
To the nearest tenth of a foot per second, this is 51.3 feet per second.
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Sonu bought a secondhand refrigerator for $ 2500 then spent $ 300 on its repairs and sold it for $ 3300. Find his Loss (or) gain.
Answer:
$500 gain
Step-by-step explanation:
Sonu spent $2500 on the fridge itself, and he also spent an additional $300 on the repairs. He spent a total of $2800. He sold the fridge for $3300.
To find the loss or gain, we can subtract 2800 from 3300 to see how much total profit he made.
3300-2800=500
Sonu made a $500 gain.
Answer:
$500 gain
Step-by-step explanation:
mark me please
The product of m and n divided by three times their different
The expression "The product of m and n divided by three times their difference" can be written as (m * n) / (3 * (m - n)).
Let's break this down:
"The product of m and n" means you multiply m by n, which is written as "m * n".
"Divided by" means you divide the product by something else. In this case, we're dividing by "three times their difference".
"Their difference" refers to the difference between m and n, which is written as "m - n".
"Three times their difference" means you multiply the difference by 3, which is written as "3 * (m - n)".
So, putting it all together, we have:
(m * n) / (3 * (m - n))
This expression represents the product of m and n, divided by three times their difference.
It's important to note that this expression is undefined when m = n, because in that case, the denominator (3 * (m - n)) would be equal to zero. Division by zero is undefined, so we cannot evaluate the expression when m = n.
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Pls show your work thank you will mark the Brainliest
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{4.8 \times 10 {}^{8}}{ 1.6 \times 10 {}^{ - 4} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{4.8 }{ 1.6 } \times \dfrac{10 {}^{8} }{10 {}^{ - 4} } [/tex]
[tex]\qquad \sf \dashrightarrow \: 3 \times10 {}^{(8 - ( - 4))} [/tex]
[tex]\qquad \sf \dashrightarrow \: 3 \times10 {}^{(8 + 4)} [/tex]
[tex]\qquad \sf \dashrightarrow \: 3 \times10 {}^{12} [/tex]
So, The correct choice is : A.) 3 × 10¹²
o step by step to reduce the radical.
176
176
x
x
The solution of the expression x = √176 is x = 13.27.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
An expression,
x² = 176
Taking the square root of the equation,
x = √176
x = 13.27
Therefore, the solution is x = 13.27.
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Seti held a party. He says, ‘There were 11 people at my party, and everyone had 3 friends there.’ Is this possible? Explain your answer
Answer:
y
Step-by-step explanation: People there: S (Seti), A, B, C, D, E, F, G, H, I, J
friend group:
S is friends with A, B
A is friends with B, C
B is friends with C, D
C is friends with D, E
E is friends with F, G
F is friends with G, H
G is friends with H, I
H is friends with I, J
I is friends with J, S
J is friends with S, A
Answer:
Yes, it is possible
Step-by-step explanation:
Think the people as points in space and the friendship between two people as a line connecting two points.
Then the question is equivalent to asking whether it is possible for all 11 points being connected by lines such that every point is connected to exactly three other points.
Clearly this is possible, since we always have, for each point, ten other points to connect it to, so we can select any three of the ten.
Mary is ( x -1 ) years old now. How old
i) was he 4 years ago?
ii) will he be 8 years from now?
iii) is he now, if his age in 8 years time will be three times his age 4 years ago
Mary age is ( x -1 ) years old now. 4 years ago= ( x -1 )-4 =0, x=4+1=5,
now he is x -1 =5-1=4, 4 years ago=5-4=1 year, iii) (3*8/3+8)=16 year old
Will he be 8 years from now .now she is 4 year old now.
if he is x year old . he will be 8 years from now=(3x+8)=0
x=- 8/3. now his age is (3x+8) =(3*8/3+8)=16
A time of human existence, defined in years starting at birth, that is typically characterized by a certain stage or degree of mental or physical development and involves the potential for legal responsibility. the discretionary age. the legal drinking age. The legal drinking age was increased by the state from 18 to 21. Age is a notion that describes a person's age at a specific period. It is described as the measurement of the amount of time that has passed between the date of the live birth to a particular point in time, typically the date the data was collected. Age range, according to the Longman Dictionary of Contemporary English, is the term for a group of people who fall between two certain ages.
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Suppose you obtain a $5,000 T-note with a 3% annual rate, paid semi-annually, with maturity in 5 years. How much interest will you earn?
The amount of money an account with simple interest at an annual rate of 3% would be $750 after 5 years.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.
Simple Interest = (Principal × Rate × Time) / 100
Given that deposit amount is $5,000 in an account that earns simple interest at an annual rate of 3%.
Amount = $5,000
Rate = 3%
Time = 5 years
Therefore, Simple Interest = (Principal × Rate × Time) / 100
Simple Interest = 5,000 × 3% × 5
Simple Interest = 5,000 × 3/100 × 5
Simple Interest = 750
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there is a severe shortage of critical care doctors and nurses to provide intensive-care services in hospitals. to offset this shortage, many hospitals, such as emory hospital in atlanta, are using electronic intensive-care units (eicus) to help provide this care to patients (emory university news center). eicus use electronic monitoring tools and two-way communication through video and audio so that a centralized staff of specially trained doctors and nurses - who can be located as far away as australia - can provide critical care services to patients located in remote hospitals without fully staffed icus. one of the most important metrics tracked by these eicus is the time that a patient must wait for the first video interaction between the patient and the eicu staff. consider the following sample of patient waiting times until their first video interaction with the eicu staff. click on the datafile logo to reference the data. wait time (minutes) 40 46 49 44 45 45 38 51 42 46 41 45 49 41 48 42 49 40 42 43 43 42 41 41 55 43 42 40 42 40 49 43 44 45 61 37 40 37 39 43 a. compute the mean waiting time for these patients (to decimals). 42.83 minutes b. compute the median waiting time (to decimals). 43 minutes c. compute the mode (to decimal). minutes d. compute the first and third quartiles (to decimals). first quartile: minutes third quartile: minutes
The mean waiting time for 40 patients is 44.10 minutes. The median waiting time is 43.5 minutes. The mode waiting time is 42 minutes.
The mean waiting time for these 40 patients is calculated by adding up all the waiting times and dividing by the number of patients, which gives:
(mean) = (46+49+40+44+45+45+38+51+45+42+46+41+41+48+42+49+49+40+43+42+41+43+42+41+55+43+42+40+42+40+49+43+44+45+61+37+49+40+42+43+43+42+41+41+55+43+42+40+42+40+49+43+44+45+61+37+43+40+37+39)/40 = 44.10
Therefore, the mean waiting time is 44.10 minutes.
To find the median waiting time, we first need to order the waiting times from lowest to highest:
37, 37, 38, 39, 40, 40, 40, 40, 41, 41, 41, 42, 42, 42, 42, 42, 43, 43, 43, 43, 44, 44, 45, 45, 45, 46, 46, 48, 49, 49, 49, 49, 51, 55, 55, 61, 61
We can see that there are 40 waiting times in this sample, which is an even number. The median is the average of the two middle values, which are 43 and 44. Therefore, the median waiting time is:
(median) = (43+44)/2 = 43.5
The median waiting time is 43.5 minutes.
The mode is the most common value in the data set. In this case, we can see that the waiting time of 42 minutes appears most frequently in the data set, occurring 6 times. Therefore, the mode waiting time is:
(mode) = 42
The mode waiting time is 42 minutes.
The first quartile (Q1) is the value below which 25% of the waiting times fall, and the third quartile (Q3) is the value below which 75% of the waiting times fall. To find these values, we first need to order the waiting times from lowest to highest (as we did in part b):
37, 37, 38, 39, 40, 40, 40, 40, 41, 41, 41, 42, 42, 42, 42, 42, 43, 43, 43, 43, 44, 44, 45, 45, 45, 46, 46, 48, 49, 49, 49, 49, 51, 55, 55, 61, 61
There are 40 waiting times in the data set, so to find the first quartile, we need to find the value below which 25% of the waiting times fall. This means we need to find the waiting time that is at the 25th percentile. We can do this by finding the index of the waiting time that is at the 25th percentile:
25th percentile = (25/100) * 40 = 10
This means that the waiting time at the 10th index in the ordered list is the value at the first quartile. In this case, the waiting time at the 10th index is 41 minutes.
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____ The given question is incorrect, the complete question is given below:
There is a severe shortage of critical care doctors and nurses to provide intensive care services in hospitals. To offset this shortage, many hospitals, such as Emory Hospital in Atlanta, are using electronic intensive care units (eICUS) to help provide this care to patients (Emory University News Center). eICUs use electronic monitoring tools and two-way communication through video and audio so that a centralized staff of specially trained doctors and nurses - who can be located as far away as Australia - can provide critical care services to patients located in remote hospitals without fully staffed ICUs. One of the most important metrics tracked by these elcus is the time that a patient must wait for the first video interaction between the patient and the eICU staff. Consider the following sample of 40 patient waiting times until their first video interaction with the eſcu staff. Click on the datafile logo to reference the data. DATA fill Wait Time (minutes) 46 49 40 44 45 45 38 51 45 42 46 41 41 48 42 49 49 40 43 42 41 43 42 41 55 43 42 40 42 40 49 43 44 45 61 37 49 40 42 43 43 42 41 41 55 43 42 40 42 40 49 43 44 45 61 37 43 40 37 39 a. Compute the mean waiting time for these 40 patients (to 2 decimals). minutes b. Compute the median waiting time (to 2 decimals). minutes c. Compute the mode (to 2 decimal). minutes d. Compute the first and third quartiles (to 2 decimals). minutes First Quartile: Third Quartile: minutes.
in how many ways can we arrange a standard deck of 52 cards so that all cards in a given suit appear contiguously (e.g., first all the spades appear, then all the diamonds, then all the hearts, and then all the clubs)?
There are 71,536,320 ways to arrange a standard deck of 52 cards so that all cards in a given suit appear contiguously.
There are 4 suits in a standard deck of 52 cards, and we need to arrange all the cards in a given suit contiguously. Once we choose a suit to be arranged in this way, we can treat it as a block of 13 cards that need to be arranged. Therefore, we have reduced the problem to arranging 4 blocks of 13 cards each, where each block represents a suit.
Within each suit, there are 13! ways to arrange the cards. However, once we arrange the cards in one suit, we fix the relative positions of the cards in the other suits. Therefore, we only need to consider the number of ways to arrange the suits themselves.
There are 4! = 24 ways to arrange the 4 suits. For each of these arrangements, there is only one way to arrange the cards within each suit contiguously. Therefore, the total number of ways to arrange the deck of cards so that all cards in a given suit appear contiguously is:
13! x 24 = 71,536,320
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Richard can type 60 words per minute. At this rate, how low will it take him to type 720 words?
Answer:
It will take Richard 12 minutes to type 720 words.
Step-by-step explanation:
720 ÷ 60 = 12
is 1/2 solution to the equation 8 - 2z = 10z+3? Select your answers from the drop-down lists.
Answer: 2.4
Step-by-step explanation:
8-2z=10z+3
First, take variables to one side
Don’t forget to change symbols when switch
-2z -10z= -8+3
Now solve, simplify
-12z=-5
The negatives cancel out, so divide both sides by 12
Z= 2.4
What’s the slope of a line perpendicular to 3x-5y=45
Answer:
-5/3.
Step-by-step explanation:
To find the slope of a line perpendicular to another line, we need to remember that the slopes of two perpendicular lines are negative reciprocals of each other. To find the slope of the line perpendicular to 3x - 5y = 45, we need to first convert it to slope-intercept form, which is y = mx + b, where m is the slope of the line.
First, isolate the y-term:
3x - 5y = 45
5y = -3x + 45
y = -(3/5)x + 9
So the slope of the original line is -3/5. The slope of the line perpendicular to it would be the negative reciprocal of this slope, which is -5/3.
Therefore, the slope of a line perpendicular to 3x - 5y = 45 is -5/3.
Answer:
3/5
Step-by-step explanation:
in a board of directors composed of people, how many ways can one chief executive officer, one director, and one treasurer be selected?
A chairman and vice chairman are to be selected from a committee of eight people in such a way that no one treasurer individual can hold more than one position. The permutation of 8 different objects, chosen two at a time, results in the number of possible chairman selections in this situation.
[tex]^{8} P_{2} =[/tex][tex]8/8-2=8/6=8*7*6/6=8*7=56[/tex]
Cash and liquidity management, risk management, and corporate finance are among the important basic responsibilities of a corporate treasurer. The division in charge of a nation's finances, economy, and revenue is known as the treasury. Although in certain nations the treasury answers to a Secretary of the Treasury or Chancellor of the Exchequer, the treasurer is often in charge of the department. After the Prime Minister and Deputy Prime Minister, the Treasurer is a senior minister in Australia and frequently the second or third most significant member of the cabinet. Additionally, each Australian state and autonomous territory has its own treasurer.
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A. A fish is 12 m below the surface of the ocean. What is its elevation?
B. A seabird is 28 m above the surface of the ocean. What is its elevation?
C. If the bird is directly above the fish, how far apart are they?
We can say that by equation 12 metres below the ocean's surface, a fish may be found. 28 metres above the ocean's surface, a sea bird may be seen and distance between them is 40 meters.
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
We require knowledge about an object's elevation to tackle such issues.
12 metres below the ocean's surface, a fish may be found.
28 metres above the ocean's surface, a sea bird may be seen.
A fish is 12 metres below the ocean's surface.
The fish's elevation is negative since it is below sea level. Consequently, the fish's elevation is -12 metres.
B.) A marine bird flies 28 metres above the water's surface.
given that the seabird is above the water. The sea bird is 28 metres above sea level.
If the bird soars straight over the fish, (C),
If the fish and the bird are immediately above one another,
Distance between fish and bird = |(elevation of the fish)| + |(elevation of the sea bird)|
= |-12| + |28|
= 12 + 28
= 40 meters
distance between them is 40 meters.
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On a number line, where would 5. 2 be located?
A. To the left of 5. 1
OB. To the right of 5. 3
OC. Between 1. 5 and 5. 1
O D. Between 5. 1 and 5. 3
5. 2
Option (D) Between 5.1 and 5.3 is the correct answer fore the question where 5.2 on the number line would be located.
On a number line, each number is represented by a point. The location of a number on a number line depends on whether it is greater than or less than other numbers.
In the case of 5.2, it is located between 5.1 and 5.3, as option D states. This is because 5.2 is greater than 5.1 but less than 5.3. Therefore, its location on the number line would be between the points representing 5.1 and 5.3.
A number line is a useful visual tool for understanding the relative position of numbers to each other, as well as for performing basic arithmetic operations. Option (D) Between 5.1 and 5.3 is the correct answer fore the question where 5.2 on the number line would be located.
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Find the sum. Give your answer as a
simplified mixed number
Answer:
22/7 or 3 1/14
Step-by-step explanation:
the most common denominator is 28 for both so the denominator is 28
then added them and simplified them in mixed and normal form because I forgot which was which. Hopefully this is correct, if not I am sorry.
Solve for x. Round to the nearest tenth .
Thank you!
The solution of x in the triangle is 11.5
How to determine the solution of xFrom the question, we have the following parameters that can be used in our computation:
The triangle
Using the Pythagoras theorem, we have the following equation
x^2 = 13^2 - 6^2
Evaluate the expression
x^2 = 133
Take the square roots of both sides
x = 11.5
Hence, the solution is 11.5
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Use the picture
1. If the measure of the arc is 45 degrees, what is the length of the Arc and the area of the sector?
2. If the measure of the arc is 150 degrees, what is the length of the Arc and the area of the sector?
3. If the measure of the arc is what is the length of the Arc and the area of the sector?
4. If the measure of the arc is
3 I, what is the length of the Arc and the area of the sector?
The arc length and the sector area are l = 0.25πr and A = (πr²) / 8.
What is sector?The sector is essentially a section of a circle, and it may be described using the following three criteria:
The area of a disc that is surrounded by two radii and an arc is known as a circular sector.
The circle is divided into the Main Sector and the Minor Sector by a sector.
The region with a lesser extent is referred to as the Minor Sector, whereas the territory with a larger area is referred to as the Major Sector.
The arc length is given as:
l = α/360 (2πr)
The angle is 45 degrees thus,
l = (45/360)(2πr)
l = 0.25πr
The sector area is given as:
A = α/360 (πr²)
A = 45/360 (πr²)
A = (πr²) / 8
Hence, the arc length and the sector area are l = 0.25πr and A = (πr²) / 8.
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An athletic track is given in the figure.
The two straight parts are 80 m long.
The total length of the track is 400 m.
Find the radius of the curved part of the track
on both sides.
Subtract the length of the two straight parts
from the entire length of the track.
The radius of the curved part of the track will be 37.3m.
Solution:
Given that
The length of straight parts = 80m each
The total length of the track = is 400m
So, the total length of curved parts = 400 - (80*2) = 240m
Therefore, the radius of the curved parts =
[tex]2\pi r = 240\\r = 240/2\pi \\[/tex]
Hence, r = 37.3m.
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Question content area top
Part 1
A gender-selection technique is designed to increase the likelihood that a baby will be a girl. In the results of the gender-selection technique, 887 births consisted of 451 baby girls and 436 baby boys. In analyzing these results, assume that boys and girls are equally likely.
a. Find the probability of getting exactly 451 girls in 887 births.
b. Find the probability of getting 451 or more girls in 887 births. If boys and girls are equally likely, is 451 girls in 887 births unusually high?
c. Which probability is relevant for trying to determine whether the technique is effective: the result from part (a) or the result from part (b)?
d. Based on the results, does it appear that the gender-selection technique is effective?
a. The probability of getting exactly 451 girls in 887 births is 0.0578.
b. The probability of getting 451 or more girls in 887 births is 0.0478. To determine if 451 girls in 887 births is unusually high, we compare this probability to a significance level (alpha) of choice and then either reject or accept the null hypothesis.
c. The probability from part (b) is more relevant for trying to determine whether the technique is effective because it considers a range of outcomes that are consistent with the hypothesis that boys and girls are equally likely.
d. Based on the results, we can reject the hypothesis that boys and girls are equally likely and conclude that the gender-selection technique is effective in increasing the likelihood of having a girl.
What is probability?Probability is the likelihood of an event occurring or not occurring.
Mathematically;
Probability = expected outcomes/possible outcomea. To find the probability of getting exactly 451 girls in 887 births, we can use the binomial distribution with n = 887 and p = 0.5 (since boys and girls are equally likely).
The probability of getting k girls is given by the formula:
P(k girls) = (n choose k) * p^k * (1-p)^(n-k)
Plugging in the values, we get:
P(451 girls) = (887 choose 451) * 0.5^451 * 0.5^436
P(451 girls) = 0.0578 (rounded to four decimal places)
b. To find the probability of getting 451 or more girls in 887 births, we can add up the probabilities of getting 451, 452, 453, ..., up to 887 girls. The cumulative binomial distribution is used to determine the probability of getting k or fewer girls:
P(k or fewer girls) = sum((n choose i) * p^i * (1-p)^(n-i), i = 0 to k)
Since we want the probability of getting 451 or more girls, we can subtract the probability of getting 450 or fewer girls from 1:
P(451 or more girls) = 1 - P(450 or fewer girls)
= 1 - sum((887 choose i) * 0.5^i * 0.5^(887-i), i = 0 to 450)
= 0.0478
d. To determine if the gender-selection technique is effective, we need to compare the probability of getting 451 or more girls (from part (b)) to a significance level (alpha) of our choice.
Using an alpha set to 0.05, the probability of getting 451 or more girls in 887 births is 0.0478, it is less than 0.05. Therefore, we reject the hypothesis that boys and girls are equally likely and conclude that the gender-selection technique is effective in increasing the likelihood of having a girl.
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This equation shows how the accuracy of Johnny's watch is related to how long it's been since he last set it. s = d + 16 The variable d represents the number of days passed since Johnny last set his watch, and the variable s represents how many seconds behind the watch is. How far behind is Johnny's watch if he last set it 2 days ago?
If Johnny sets his watch 2 days ado then after two days watch will behind 18 seconds.
What is addition ?
Addition is a basic mathematical operation that combines two or more numbers to give a total or sum. It is one of the four elementary arithmetic operations, along with subtraction, multiplication, and division. The operation involves adding or combining the values of two or more numbers, which are called addends, to produce a new value, which is the sum or the total.
If Johnny last set his watch 2 days ago,
we can substitute d = 2 into the equation:
s = d + 16
To find out how many seconds behind his watch is.
s = d + 16
s = 2 + 16
s = 18
So, Johnny's watch is 18 seconds behind if he last set it 2 days ago.
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a variable x has standard deviation 10 and variable y has standard deviation 5. if their covariance is 25, what is the correlation between x and y?
The correlation between x and y is 0.5. This indicates a positive correlation, meaning that as values of x increase, so do the values of y.
The correlation coefficient (denoted by ρ) between x and y can be calculated as:
ρ = covariance(x,y) / (standard deviation of x * standard deviation of y)
A measure of the link between two random variables and how much they fluctuate together is called covariance. Alternately, we may say that it establishes the relationship between the two variables' changes, i.e., that a change in one variable is equivalent to a change in the other. When the variables are translated linearly, a function has the property of preserving its shape.
We are given that the covariance between x and y is 25, the standard deviation of x is 10, and the standard deviation of y is 5. Substituting these values into the formula, we get:
ρ = 25 / (10 * 5) = 0.5
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In a bag of apples and oranges, the ratio of apples to oranges is 4:3. If the bag contains 70 apples and oranges, how many oranges are there?
A.30
B.40
C.35
D.25
Answer: None of the above
Step-by-step explanation: It's none because we need to divide the 70 apples by the 4 in the sample ratio. That's 17.5. Now, we need to multiply 3 by that. So, 17.5 * 3 = 52.5. That's equal to about 53 oranges. But, as we see that is not an answer choice. So, I believe it's none of the above.
4:3 = 53:70 (about 53)
Olivia
has 1/8 pound of butter. She needs to divide the butter equally among 4 batches of muffins she is baking. How much butter is used in each batch of muffins?
If she needs to divide the butter equally then quantity of butter that should be in 4 batches each is 1/32 pond.
According to the question:
Olivia has 1/8 pound of butter. She needs to divide the butter equally among 4 batches of muffins she is baking.
Quantity of butter = 1/8
Number of batches = 4
To find how much butter is used in each batch of muffins, we just have to divide 1/8 pond of butter to 4.
If she needs to divide the butter equally then quantity of butter that should be in 4 batches each = 1/8 ÷ 4 = 1/32 pond
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carrie went running for 22 minutes and then did a series of exercises for 3 mins
Answer: Her total exercise time was 25 minutes
For a given recipe, 16 cups of flour are mixed with 8 cups of sugar. How many cups of flour should be used if 12 cups of sugar are used?
The number of cups of flour should be used if 12 cups of sugar are used is 6.
Determine the purpose of the relationship. Start by identifying what you want the ratio to show. Each ratio uses different data, so you need to make sure you're using the correct information to get the details you need.
set the formula. A ratio compares two numbers, usually by division. When comparing one data point (A) to another data point (B), the formula is A/B. That is, divide information A by information B. For example, if A is 5 and B is 10, the ratio is 5/10.
Solve the equation. Divide data A by data B to get the ratio. In the example above, 5/10 = 0.5.
16 cups of flour are mixed with 8 cups of sugar and for 12 cup ratio should be same
so 16/8 = 12 /x
x = 6
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