Answer:
B
Step-by-step explanation:
because d needs to be less than or equal to 99 for the equation to be less than or equal to 4.
complete the square f(x)=x^2-12x-4
Answer:
Solve for x over the real numbers:
x^2 - 12 x - 4 = 0
Add 4 to both sides:
x^2 - 12 x = 4
Add 36 to both sides:
x^2 - 12 x + 36 = 40
Write the left hand side as a square:
(x - 6)^2 = 40
Take the square root of both sides:
x - 6 = 2 sqrt(10) or x - 6 = -2 sqrt(10)
Add 6 to both sides:
x = 6 + 2 sqrt(10) or x - 6 = -2 sqrt(10)
Add 6 to both sides:
Answer: |
| x = 6 + 2 sqrt(10) or x = 6 - 2 sqrt(10)
Let's say someone is conducting research on whether people in the community would attend a pride parade. Even though the population in the community is 95% straight and 5% lesbian, gay, or some other queer identity, the researchers decide it would be best to have a sample that includes 50% straight and 50% LGBTQ+ respondents. This would be what type of sampling?
A. Disproportionate stratified sampling
B. Availability sampling
C. Snowball sampling
D. Simple random sampling
The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."
A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.
B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.
C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.
D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.
Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.
To learn more about stratified sampling Click Here: brainly.com/question/30397570
#SPJ11
hey pls answer
WHAT IS THE PRODUCT OF 2 AND 3
i'm having trouble with this, pls help!
Answer:
6
Step-by-step explanation:
2(3)=6
Answer:6
Step-by-step explanation:
2x3 is 6
A grocery store wants to examine the relationship between the sales amounts each day at two different locations, store A and store B. The sales amount each day, in dollars, was recorded for 10 days at each store. The least-squares regression line is yˆ=−3,000+1.2x, where x represents the sales amounts each day at store A and y represents the sales amounts each day at store B. If the mean of the 10 sales amounts for store B is $45,000, what is the mean of the 10 sales amounts for store A?
Answer:
The mean of the 10 sales amounts for store A is $40,000.
Step-by-step explanation:
Given;
yˆ= −3,000 + 1.2x ...................... (1)
Where;
x = sales amounts each day at store A or the mean of the 10 sales amounts for store A = ?
yˆ = sales amounts each day at store B or the mean of the 10 sales amounts for store B = $45,000
Substituting y = 45,000 into equation (1) and solve for x, we have:
45,000 = −3,000 + 1.2x
45,000 + 3,000 = 1.2x
48,000 = 1.2x
x = 48,000 / 1.2
x = 40,000
Therefore, the mean of the 10 sales amounts for store A is $40,000.
Rational zeros of polynomial function
Help!
Zeros of the given polynomial are -2, 2, -3/2, 3/2
What are zeroes of a polynomial?Zeros of a polynomial can be defined as the points where the polynomial becomes zero as a whole.
Given a polynomial 1/4(4\(x^{4}\) - 25\(x^{2}\) + 36)
1/4(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0
(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0
4\(x^{4}\) - 16\(x^{2}\) - 9\(x^{2}\) + 36= 0
4\(x^{4}\)(\(x^{2}\) - 4) - 9(\(x^{2}\) - 4) = 0
(4\(x^{4}\)-9)(\(x^{2}\) - 4) = 0
(x+2)(x-2)(2x+3)(2x-3) = 0
x = -2, 2, -3/2, 3/2
Hence, Zeros of the given polynomial are -2, 2, -3/2, 3/2
For more references on zeroes, click;
https://brainly.com/question/10702726
#SPJ1
Please help! Tysm!!! ❤✨
Answer:
B
Step-by-step explanation:
That's the only one that is 9/10 boxes long and 4/5 boxes wide
Urgent !!!
What does the absolute value of the correlation coefficient say about the predictions in part B? How do you know? Write an explanation of about one to two sentences
Part B attached
The line of best fit shows that Luther can expect the speed to be 51 miles/hour when he throws 80 pitches and 64 miles/hour when he throws 54 pitches.
How to calculate the speed?The average speed of Luther's pitches when he throws 80 pitches will be:
y = -0.511x + 91.636
= -0.511(80) + 91.636
= 50.756
= 51
Also, the number of pitches that Luther can throw when the speed is 64 miles per hour will be:
y = -0.511x + 91.638
64 = -0.511x + 91.638
0.511x = 91.638 - 64
0.511x = 27.636
x = 54
Therefore, the number of pitches will be 54.
Learn more about line of best fit on:
https://brainly.com/question/21241382
Formula Which of the following is the total number of pennies on Rows 1-4 (the first 32 squares)? 232 – 1 232 232 1.
The total number of pennies on Rows 1-4 (the first 32 squares) is 232. The content loaded formula can be used to calculate the total number of pennies on the Rows 1-4 of the first 32 squares.
formula = 2^(n-1) + 2^(n-2) + 2^(n-3) + 2^(n-4) + 2^(n-5) + ……+ 2^1 + 2^0Where n = the number of rows The first four rows of the chessboard have 2^(4-1) = 8, 2^(4-2) = 4, 2^(4-3) = 2, and 2^(4-4) = 1 pennies respectively .The total number of pennies on the first 32 squares (Rows 1-4) is calculated using the following formula; Total = 8 + 4 + 2 + 1 = 15For the first four rows (the first 32 squares), the total number of pennies is 15. Hence, the correct option is 15.
Learn more about total number here:
https://brainly.com/question/30422918
#SPJ11
An investigator is studying the association between cell phone use and migraine headaches. She recruits 100 cases (migraine patients) and 100 controls (people who don't suffer from migraine), and asks each group how many hours they use their cell phones per day, on average. She obtains the following information:
cases controls
use cellphones
>3hrs/day
60 55
use cellphones
<3hrs/day
40 45
total 100 100
Calculate the observed odds ratio (the observed association between migraine headache and cell phone use).
OR = 0.82
OR = 1.23
OR = 1.11
OR = 3.45
The observed odds ratio (the observed association between migraine headache and cell phone use) is OR = 1.23.
An investigator is studying the association between cell phone use and migraine headaches.
100 cases (migraine patients) and 100 controls (people who don't suffer from migraine), and asks each group how many hours they use their cell phones per day, on average.
To calculate odd ratio ( exposure is cell phone as to check cell phone use on migraine)
Odds of disease in exposed = 60/55= 1.09
Odd of disease in non exposed = 40/45 = 0.88
Thus the odds ratio will be = 1.09:0.88
=> Odds of disease in exposed / odds of disease in non exposed = 1.09/ 0.88 = 1.23
= OR = 1.23
Hence the answer is the observed odds ratio (the observed association between migraine headache and cell phone use) is OR = 1.23.
To learn more about ratio click here https://brainly.com/question/13513438
#SPJ4
PLEASE HELP!!!
There are 6 classes going on a field trip. Each class has 28 students and 7 adults going on the trip. They are all traveling by van. Each van hold 9 passengers. What is the fewest number of vans they will need?
A.) 19
B.) 20
C.) 23
D.) 24
Answer:
D.24
Step-by-step explanation: 28 +7=35x6 divided by 9
explain the necessary condition that must be met in order to use a normal distribution to model the sampling distribution of p hat
The necessary condition to meet in order to use a normal distribution to model the sampling distribution of p^ is n×p and n×(1-p).
As per the question we have to determine the necessary condition that must be met in order to use a normal distribution to model the sampling distribution of p^.
In probability theory and statistics, the Normal Distribution, also called the Gaussian Distribution.
A large number of random variables are either nearly or exactly represented by the normal distribution.
The Normal Distribution is defined by the probability density function for a continuous random variable in a system.
Let us say, f(x) is the probability density function and X is the random variable.
Hence, it defines a function which is integrated between the range or interval (x to x + dx), giving the probability of random variable X, by considering the values between x and x+dx.
From the given information,
The required necessary condition is,
Both n×p and n×(1-p) to be at least 10.
Where, n is sample size and p is the probability of success.
For more questions on normal distribution
https://brainly.com/question/5729585
#SPJ4
please help me add an explanation too pls
Answer:
42.5 inches
Step-by-step explanation:
because you gotta divide 349 by 8 to get ye height
Just these two please. Each pair of polygons is similar. Find the value of x.
Answer:
You are not showing any photos/images/text documents of the question. I need to see the picture you were given with
Step-by-step explanation:
Please give me answer to the question
This is all of my points
Answer:
It will be the answer , i think
Step-by-step explanation:
Let me know if it was wrong or you wanted further explanation .
between which two integers that Square Root of 11 Lie?
Answer:
3 and 4
Step-by-step explanation:
Answer:
3 and 4
Step-by-step explanation:
represent 8/5 on number line
Answer:
Step-by-step explanation:
--------|--------|---------|------||----|--------|---------|--------------------->
-1 0 1 5/8 2 3 4 ∞
Fill in the blanks
1.Estimation means finding a number that is_____enough to the_____answer.
2.Second step in converting is writing the conversion as a______.
3.When converting,the original unit should always be put in the_______.
4.Cancel any units that are both in the_______and denominator.
5.Indentifying the desired______is one of the important things you have to consider in solving word problems involving conversion.
Answer:
1.close
2.fraction
3.word
5.nuimarator
Question
An employee makes $24 per hour during the normal week. This weekend that employee will make $36 per hour since it is a holiday. What is the percent increase in pay?
Answer:
The percent increase in pay is 50%.
Step-by-step explanation:
We need to find the percent increase from $24 to $36.
To solve this, we first must ask ourselves the question
36 is what percent of 24?
Y = P% of 24
36 = X · 24
To get X alone, we divide 36 by 24. That's 1.50. So now we know 36 is 150% of 24. Knowing 24 is 100%, we can find the percent increase. Well, how do we get from 100% (24) to 150% (36)? By increasing by 50%. Therefore, the percent increase in pay is 50%.
If x is a binomial random variable with n = 20 and p = 0.25, the expected value of x is:_________
The expected value with a sample size of 20 and a probability of 0.25 will be 5.
What is the expected value?The anticipated value is an extension of the weighting factor in statistical inference. Informally, the anticipated value is the simple average of a significant number of outcomes of a randomly selected variable that was separately chosen.
The expected value is given below.
E(x) = np
Where n is the number of samples and p is the probability.
If x is a binomial random variable with n = 20 and p = 0.25. Then the expected value is given below.
E(x) = 20 x 0.25
E(x) = 5
The expected value with n = 20 and p = 0.25 will be 5.
More about the expected value link is given below.
https://brainly.com/question/13945225
#SPJ1
what is the z score for a soda that costs $1.15 if the population of soda prices has a normal distribution with a mean of $1.00 and a standard deviation of $0.25?
We need to know about z-score to solve the problem. The z-score of the soda is 0.6
A z-score tells you how many standard deviations away an individual data falls from the mean. We can calculate z-score from the standard deviation and mean of the data. In this question we know that the cost of a soda is $1.15 and the mean is $1.00 and the standard deviation is $0.25.We need to calculate the z-score of the soda with the given information.
z-score=x-μ/σ=1.15-1.00/0.25=0.15/0.25=0.6
Therefore the z-score of the soda is 0.6
Learn more about z-score here:
https://brainly.com/question/15222372
#SPJ4
Which linear function has the steepest slope? Whoever answers this first I will mark them brainless
Answer:
y=-8x+5
Step-by-step explanation:
The others have a slope of -2, 7, and 6, which is not as steep as -8.
Answer:
A) y = -8x + 5
Step-by-step explanation:
Just took the test!
Correct me if I'm wrong!
Thank you
Tisa B Sora
f(x)=-x^2-3x+3
Find f(7)
Answer:
7−x2−3x
Step-by-step explanation:
sorry if it's not right
A school ordered 3 large boxes of board markers. After giving 15 markers to each of 3 teachers, there were 90 markers left. How many markers were originally in the box?
(a) two lawn car companies are competing for a landscaping contract. company a charges $250 monthly consulting fee plus $10 per square foot of landscaping, whereas company b charges a $90 monthly consulting fee plus $12 per square foot of landscaping. for how many square feet of landscaping will the two companies charge the same amount?
Total charge by company A for 80 sq.feet = 250+10(80)= $1050
Total charge by company B for 80 sq.feet = 90+12(90)=$1170
Let x be the no.of square feet for landscaping
Company A
Monthly consulting fee = $250
Cost of landscaping of 1 sq.feet = $10
Cost of landscaping of x sq.feet = $10x
So, Total charge by company A = 250+10x ---1
Company B
Monthly consulting fee = $90
Cost of landscaping of 1 sq.feet = $12
Cost of landscaping of x sq.feet = $12x
So, Total charge by company B = 90+12x ---2
Now we are supposed to find how many square feet of landscaping will the two companies charge the same amount
So, Equate 1 and 2
250+10x = 90+12x
160=2x
80=x
So, the two companies charge the same amount for 80 sq.feet
Total charge by company A for 80 sq.feet = 250+10(80)= $1050
Total charge by company B for 80 sq.feet = 90+12(90)=$1170
learn more of square foot here
https://brainly.com/question/11109636
#SPJ4
Help yalll I really need help major time
Answer:
Annalise is correct because the outputs are closest when x = 1.35
Step-by-step explanation:
The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.
Given the matrices A =
2
2
3
4
B=
0
4
2
-3
C=
4
6
5
6
the matrix X in the equation (x-4b)a=c
Answer:
Hello,
Step-by-step explanation:
\(A=\begin{bmatrix}2 & 2 \\3 & 4 \end{bmatrix}\\\\\\B=\begin{bmatrix}0 & 4 \\2 & -3 \end{bmatrix}\\\\\\C=\begin{bmatrix}4 & 6 \\5 & 6 \end{bmatrix}\\\\\\(X-4B)*A=C\\\\X-4B=C*A^{-1}\\\\X=C*A^{-1}+4B\\\)
\(\begin{array}{|cc|cc|}A&&A^{-1}&\\---&---&---&---\\2&2&1&0\\3&4&0&1\\---&---&---&---\\1&1&\frac{1}{2}&0\\0&1&\frac{-3}{2}&1\\---&---&---&---\\1&0&2&-1\\0&1&\frac{-3}{2}&1\\---&---&---&---\\\end {array}\\\\\)
\(X=C*A^{-1}+4B=\begin{bmatrix}4 & 6 \\5 & 6 \end{bmatrix}*\begin{bmatrix}2&-1\\\frac{-3}{2}&1\end{bmatrix}+4*\begin{bmatrix}0 & 4 \\2 & -3 \end{bmatrix}\)
\(X=\begin{bmatrix}-1 & 2 \\1 & 1 \end{bmatrix}+\begin{bmatrix}0 & 16 \\8 & -12 \end{bmatrix}\\\\\\X=\begin{bmatrix}-1 & 18 \\9 & -11 \end{bmatrix}\\\)
Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. A quality inspector took the following samples of the length of time (in seconds) for glue to dry. Please round your calculations to three decimal places. Sample 1 Obs. 1 125 Obs. 3 122 Obs. 2 126 100 155 Obs. 4 132 121 118 Obs. 5 114 125 142 2 130 110 140 129 3 a) What is the value of ? x = seconds (round your response to three decimal places). b) What is the value of R? R= seconds (round your response to three decimal places). c) What are the UCL, and LCL, using 3-sigma? Upper Control Limit (UCL;) = seconds (round your response to three decimal places). Lower Control Limit (LCL;) = seconds (round your response to three decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCLR) = seconds (round your response to three decimal places). Lower Control Limit (LCLR) = seconds (round your response to three decimal places).
To find the value of x, we calculate the average of the sample observations. Summing up the observations and dividing by the total number of observations, we get:
x = (125 + 122 + 126 + 100 + 155 + 132 + 121 + 118 + 114 + 125 + 142 + 2 + 130 + 110 + 140 + 129 + 3) / 17 = 114.118 seconds (rounded to three decimal places).b) To find the value of R, we calculate the range of each sample by subtracting the minimum observation from the maximum observation. Then we find the average range across all samples:R = (155 - 100 + 142 - 2 + 140 - 110 + 132 - 114 + 142 - 3) / 5 = 109.2 seconds (rounded to three decimal places).
c) The Upper Control Limit (UCL) and Lower Control Limit (LCL) using 3-sigma can be calculated by adding and subtracting three times the standard deviation from the average:UCL = x + (3 * R / d2) = 114.118 + (3 * 109.2 / 1.693) = 348.351 seconds (rounded to three decimal places).LCL = x - (3 * R / d2) = 114.118 - (3 * 109.2 / 1.693) = -120.115 seconds (rounded to three decimal places).
d) The Upper Control Limit Range (UCLR) and Lower Control Limit Range (LCLR) using 3-sigma can be calculated by multiplying the average range by the appropriate factor:UCLR = R * D4 = 109.2 * 2.115 = 231.108 seconds (rounded to three decimal places).LCLR = R * D3 = 109.2 * 0 = 0 seconds.
To learn more about observations click here : brainly.com/question/9679245
#SPJ11
Used car salesman paid 1500 for a car he plans to sell the car at 25% discount on Mars selling price but still wants to make a profit of 15% on his cost what should be the mark selling price of the car
SOLUTION
Cost price =1500
Selling price =?
Percentage Profit =15%
Profit is
\(\begin{gathered} \frac{15}{100}\times1500 \\ =225 \\ \end{gathered}\)Selling price = Cost Price + Profit
Selling price = 1500+225
Selling price= 1725
Since he also wants to give a 25% discount,
The marked selling price can be gotten;
\(\begin{gathered} \frac{x-1725}{x}\times100=25 \\ 100x-172500=25x \\ \text{Collect the like terms} \\ 100x-25x=172500 \\ 75x=172500 \\ \text{Dividing both sides by 75} \\ \frac{75x}{75}=\frac{172500}{75} \\ x=2300 \end{gathered}\)The mark selling price of the car is 2300
A small rectangular laptop has a width of 10 inches and an area of 80 square inches. A larger and similar laptop has a width of 15 inches. What is the length of the larger laptop?
The length of the smaller laptop is 8 inches.
The length of the larger laptop is 12 inches.
To find the length of the larger laptop, we can use the concept of similarity between the two laptops. Similar figures have proportional side lengths.
Given that the width of the smaller laptop is 10 inches and its area is 80 square inches, we can find its length as follows:
Area = length x width
80 = length x 10
Dividing both sides of the equation by 10, we get:
length = 80 / 10
length = 8 inches
Therefore, the length of the smaller laptop is 8 inches.
Since the larger laptop is similar to the smaller one, the ratio of corresponding side lengths is the same. The ratio of the widths is 15 inches / 10 inches = 1.5.
To find the length of the larger laptop, we multiply the width of the larger laptop by the same ratio:
length of larger laptop = 1.5 x 8 inches
length of larger laptop = 12 inches
Thus, the length of the larger laptop is 12 inches.
To learn more about the ratio;
https://brainly.com/question/13419413
#SPJ1
The length of the larger laptop is 12 inches.
Given that, a small rectangular laptop has a width of 10 inches and an area of 80 square inches.
We know that, area of a rectangle is Length×Width.
Here, Length×10=80
Length=8 inches
A larger and similar laptop has a width of 15 inches
Let the length of a large laptop be x.
Now, 10/15 = 8/x
10x=120
x=12 inches
Therefore, the length of the larger laptop is 12 inches.
Learn more about the similar figure here:
brainly.com/question/20368229.
#SPJ1
Katie is 1.52 m tall. George is 6 cm shorter than Katie. How tall is George?
Give your answer in m
Answer:
1.46 cm
Step-by-step explanation:
You have to first convert meters into centimeters to make everything easier. (1m = 100cm)
1.52 meters is 152 centimeters
152-6 = 146 cm
146 cm divided by 100 is 1.46 meters
George is 1.46 meters tall
Hope this helps! :D