Answer:
b)4feet
Step-by-step explanation:
In a rectangle two sides are equal.
Perimeter is the distance around the rectangle thus.
length=24-8-4-8
length=4
A recipe requires 31 cup of milk for each 41 cup of water. How
many cups of water are needed for each cup of milk?
Step-by-step explanation:
here,
31 cup of milk require 41 cup of water.
1 cup of milk require 41/31 cup of water.
so, 41/31 cup of water is required for 1 cup of milk.
hope u get it..
What is the measure of PSQ?
Answer:
Do you have an image because I'm a bit confused with you just asking the measure of PSQ.
Step-by-step explanation:
What is the area of the equilateral triangle with side length of 6?
Answer:
18
Step-by-step explanation:
area of a triangle is length x base
so 6 x 6 = 36
36 divided by 2 = 18
I hope it helps :)
Answer: The area is about 15.59 and is round to the nearest hundredth.
Step-by-step explanation:
An equilateral triangle has three equal sides is just like an isosceles triangle.
So in this case, we know that the base is 6 and since the base is 6 all the other two sides is also 6 .But we do not know the height to find the area so we need to find the height.
The height is the distance of from the base to the tip or top which helps form two right triangles.. And if you divide as an equilateral triangle into two parts you will form two right triangles. Imagine we have divide the isosceles triangle into two parts to form two right triangles. We will now have a base of 3 instead of 6 and and hypotenuse of 6 . but we still don't know the height so we need to find it.
Using the Pythagorean Theorem we could say that a^2 plus b^2 squared is equal to c^2 squared.
We know a as 3 and c the hypotenuse as 6.
so 3^2 + b^2 =6^2 solve for b
9 + b^2 = 36
-9 -9
b^2 = 27
b= [tex]\sqrt{27}[/tex]
b= 5.196
Now we know that b is about 5.196 which is the height.Now we could find the area by multiplying the base by the height.
5.196 * 6 = 31.176
31.176/2 = 15.588
Now you could round it to the nearest hundredth to be 15.59
find the area of the Triangle
6 ft
12 ft
Answer:
area = 36 ft²
Step-by-step explanation:
no figure has been given ..
therefore, area of a triangle = 1/2 * b * h
assume b = 6 ft
assume h = 12 ft
area = 1/2 * 6 * 12
area = 36 ft²
The following situation can be modeled by a linear function. Write an equation for the linear function and use it to answer the given question. Be sure you clearly identify the independent and dependent variables. Then briefly discuss whether a linear model is reasonable for the situation described. The price of a particular model car is $19,000 today and rises with time at a constant rate of $960 per year. How much will a new car of this model cost in 3.7 years?
Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.)
A. The independent variable is the price (o) in dollars, and the dependent variable is time (1), in years. The linear function that models this situation is __________
B. The independent variable is time (), in years, and the dependent variable is the price (p), in dollars. The linear function that models this situation is________
The price of a car after 3.7 years will be $ (Simplify your answer.) Is a linear model reasonable for the situation?
A. The linear model is most likely not reasonable, because the price of a new car of the same model never changes, regardless of how much time passes.
B. The linear model is most likely not reasonable, because the price of a new car of the same model will always decrease at a constant rate.
C. The linear model is most likely not reasonable, because it is unlikely that the price of a new car of the same model will increase at a constant rate. always increases at a constant rate.
Answer: The answer is B)
B. The independent variable is time (t), in minutes, and the dependent variable is rental cost (r), in dollars. The linear function that models this situation is r equals to r=0.55x+8
Step-by-step explanation:
Stat 3309 - Statistical Analysis for Business Applications I
Consider the following data representing the starting salary (in $1,000) at some company and years of prior working experience in the same ï¬eld. The sample of 10 employees was taken and the following data is reported.
Years of experience
Starting Salary (in $1,000)
0
45
2 50
5 55
7 62
8 63
10 70
12 68
15 75
18 81
20 92
Part 1: Use the formulas provided on the 3rd formula sheet to compute the following quantities. Open an Excel spreadsheet and write the table with data given above. Add columns for x2, y2, and xy, as well as the last row for Σ. For each of the following quantities, write the formula for it in a cell and evaluate it.
(a) Find the sample correlation coeï¬cient r.
(b) Find the slope b1 of the sample regression line.
(c) Find the y-intercept b0 of the sample regression line.
(d) What is the equation of the sample regression line?
(e) Find the predicted starting salary for a person who spent 15 years working in the same ï¬eld.
(f) Find the observed starting salary for a person who spent 15 years working in the same ï¬eld.
(g) What is the diï¬erence between the observed and the predicted starting salary for a person who spent 15 years working in the same ï¬eld?
(h) Find the total sum of squares SST.
(i) Find the sum of squares error SSE.
(j) Find the sum of squares regression SSR.
(k) Use the answers from (h)-(j) to conï¬rm that SST = SSR + SSE. (l) Find the coeï¬cient of determination R2.
(m) Use your answers for (a), (b) and (l), to conï¬rm that r = ±âR2.
(n) What proportion of variation is explained using the regression model?
(o) Find the standard error of the estimate se.
(p) Find the standard error of the regression slope sb.
(q) Does the number of years of prior working experience in the same ï¬eld aï¬ect the starting salary at this company ? Use the sample provided above and the signiï¬cance level of 0.05.
(hint: perform the hypothesis test for H0 : β1 = 0 vs. H1 : β1 6= 0.)
Part 2: Find and use Excel built-in-functions to check your answers for r, b1, and b0. Next to each cell from Part 1, calculate these three quantities using Excel built-in-functions and conï¬rm your answers from Part 1.
(hint: for example, for r the Excel built-in function is "CORREL")
Part 3: Bellow your answers from Parts 1 and 2, perform the regression analysis using Excel built-in-module which can be found under "DATA" â "Data Analysis" â "Regression" and double check your answers from Part 1. Draw the scatter plot of the data and, by visually observing the graph, determine if there is a linear relationship between the number of years of prior working experience in the same ï¬eld and the starting salary at this company.
Answer:
Solved below.
Step-by-step explanation:
The data is provided for the starting salary (in $1,000) at some company and years of prior working experience in the same field for randomly selected 10 employees.
(a)
The formula to compute the correlation coefficient is:
[tex]r=~\frac{n\cdot\sum{XY} - \sum{X}\cdot\sum{Y}} {\sqrt{\left[n \sum{X^2}-\left(\sum{X}\right)^2\right] \cdot \left[n \sum{Y^2}-\left(\sum{Y}\right)^2\right]}} \\[/tex]
The required values are computed in the Excel sheet below.
[tex]\begin{aligned}r~&=~\frac{n\cdot\sum{XY} - \sum{X}\cdot\sum{Y}} {\sqrt{\left[n \sum{X^2}-\left(\sum{X}\right)^2\right] \cdot \left[n \sum{Y^2}-\left(\sum{Y}\right)^2\right]}} \\r~&=~\frac{ 10 \cdot 7252 - 97 \cdot 661 } {\sqrt{\left[ 10 \cdot 1335 - 97^2 \right] \cdot \left[ 10 \cdot 45537 - 661^2 \right] }} \approx 0.9855\end{aligned}[/tex]
Thus, the sample correlation coefficient r is 0.9855.
(b)
The slope of the regression line is:
[tex]b_{1} &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} \\\\= \frac{ 10 \cdot 7252 - 97 \cdot 661 }{ 10 \cdot 1335 - \left( 97 \right)^2} \\\\\approx 2.132[/tex]
Thus, the slope of the regression line is 2.132.
(c)
The y-intercept of the line is:
[tex]b_{0} &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} \\\\= \frac{ 661 \cdot 1335 - 97 \cdot 7252}{ 10 \cdot 1335 - 97^2} \\\\\approx 45.418[/tex]
Thus, the y-intercept of the line is 45.418.
(d)
The equation of the sample regression line is:
[tex]y=45.418+2.132x[/tex]
(e)
Compute the predicted starting salary for a person who spent 15 years working in the same field as follows:
[tex]y=45.418+2.132x\\\\=45.418+(2.132\times15)\\\\=45.418+31.98\\\\=77.398\\\\\approx 77.4[/tex]
Thus, the predicted starting salary for a person who spent 15 years working in the same field is $77.4 K.
Answer:
Yes correct
Step-by-step explanation:
I think this is correct becase: 2 50
5 55
7 62
etc
these are all correct
Coupons driving visits. A store randomly samples 603 shoppers over the course of a year and nds that 142 of them made their visit because of a coupon they'd received in the mail. Construct a 95% con dence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail.
Answer:
The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 603, \pi = \frac{142}{603} = 0.2355[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694[/tex]
The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)
Solve the puzzle
Replace the question marks with numbers:
76533483
94529245
958??769
Answer:
95891769
Step-by-step explanation:
This is extract from a brain teaser exercise in which sequence is formed to identify the numbers. In this brain teaser we have made combinations of different numbers which lead to the correct answer. The two correct forms of number are given which are used as a base for determining the correct answer.
QUESTION 1 (ONLY ANSWER FOR ALL QUESTIONS) a) 2x/3 =8 (what is x=?) b)3x/2 =6 (what is x=?) QUESTION 2 a)x/3 -2 =6 (what is x=?) b )x/5 +1 = 5 (what is x=?) QUESTION 3 a) 5x/2 +1 =11 (what is x=?) b)2x/7 -3 = 2 (what is x=?)
Answer:
1 (a) x = 12
1 (b) x = 4
2 (a) x = 24
2 (b) x = 20
3 (a) x = 4
3 (b) x = 17.5
Step-by-step explanation:
1 (a)
2x/3 = 8
2x = 8 × 3
2x = 24
x = 24 ÷ 2
x = 12
1 (b)
3x/2 = 6
3x = 6 × 2
3x = 12
x = 12 ÷ 3
x = 4
2 (a)
x/3 - 2 = 6
x/3 = 6 + 2
x/3 = 8
x = 8 × 3
x = 24
2 (b)
x/5 + 1 = 5
x/5 = 5 - 1
x/5 = 4
x = 4 × 5
x = 20
3 (a)
5x/2 + 1 = 11
5x/2 = 11 - 1
5x/2 = 10
5x = 10 × 2
5x = 20
x = 20 ÷ 5
x = 4
3 (b)
2x/7 - 3 = 2
2x/7 = 2 + 3
2x/7 = 5
2x = 5 × 7
2x = 35
x = 35 ÷ 2
x = 17.5
A researcher looked at characteristics of elementary school students and,
in particular, observed whether students satisfied any of the following
criteria:
A = The student lived with at least one of their biological parents
B = The student lived with at least one grandparent
C = The student lived with two parents who were legally married
D = The student lived with only one parent
Which of the events above are mutually exclusive? Select all that apply.
1.) A,C
2.) A,D
3.) C,D
4.) B,C
(Side note: I put down options 3&4 but got it wrong, not sure what I’m missing?)
Answer:
1. A, C
2. A, D
Step-by-step explanation:
The mutually exclusive events are one which cannot happen together. The observation is made regarding with which students live. They live with either one of their biological parent or grandparent. The student have the option to live with two legally married couple this is mutually exclusive event. If the student is living with their one biological parent he cannot live with two legally married parents.
Question 4
If Madeline wanted to know whether or not her sample results could be generalized to the population, she would use
Answer:
Inferential statistical methods
Step-by-step explanation:
Remember, Madeline had obtained sample results, but she wants to decide whether to apply the sample results to the entire population. To do this, she can use the following:
- estimate her research parameters or
- or perform a hypothesis test which answers her research objectives.
Based on the results she gets, Madeline, can to thus infer from the sample results and apply them to the population.
HELP! will give brainlest or whatever its called... Triangle ABC has vertices A(–2, 3), B(0, 3), and C(–1, –1). Find the coordinates of the image after a reflection over the x-axis. A’ B’ C’
Answers:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
=======================================================
Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as [tex](x,y) \to (x,-y)[/tex]
Applying this rule to the three given points will mean....
Point A = (-2, 3) becomes A ' = (-2, -3)Point B = (0, 3) becomes B ' = (0, -3)Point C = (-1, -1) becomes C ' = (-1, 1)The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
Answer:
(-2,-3)...(0,-3)...(-1,1)
Step-by-step explanation:
An athletics coach states that the distribution of player run times (in seconds) for a 100-meter dash is normally distributed with a mean equal to 13.00 and a standard deviation equal to 0.2 seconds. What percentage of players on the team run the 100-meter dash in 13.36 seconds or faster
Answer:
96.41% of players on the team run the 100-meter dash in 13.36 seconds or faster
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 13, \sigma = 0.2[/tex]
What percentage of players on the team run the 100-meter dash in 13.36 seconds or faster
We have to find the pvalue of Z when X = 13.36.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{13.36 - 13}{0.2}[/tex]
[tex]Z = 1.8[/tex]
[tex]Z = 1.8[/tex] has a pvalue of 0.9641
96.41% of players on the team run the 100-meter dash in 13.36 seconds or faster
Please answer this correctly
Answer:
1/7
Step-by-step explanation:
There are 7 cards, 1 of which is less than 2. Therefore, P (less then 2) = 1/7
Answer:
1/7
Step-by-step explanation:
The number from the list that is less than 2 is 1.
1 number out of a total of 7 numbers.
= 1/7
Evaluate. Write your answer as a fraction or whole number without exponents. 6^–4 =
Answer:
The answer is 1/1296
Step-by-step explanation:
6^-4 can be written as 1/6⁴
And
1/6⁴ = 1/1296
Hope this helps you.
Circles c and c are similar state the translation rule and the scale factor of dilation
To obtain circle C', circle C was translated to the right 3 units and down 2 units, then dilated by a scale factor of 2
What is a transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Dilation is the increase or decrease in the size of a figure.
To obtain circle C', circle C was translated to the right 3 units and down 2 units, then dilated by a scale factor of 2
Find out more on transformation at: brainly.com/question/4289712
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if 7 is added to a number then it becomes at least 15 what is the number?
Step-by-step explanation:
yeah,when 15-7=8
the number is 8
Write the equation of each line in slope-intercept form.
(If possible please show work)
Answer:
y = -1/2x + 1/2
Step-by-step explanation:
Step 1: Write in known variables
y = -1/2x + b
Step 2: Find b
2 = -1/2(-3) + b
2 = 3/2 + b
b = 1/2
Step 3: Rewrite equation
y = -1/2x + 1/2
The function fx =-x^2-4x+5 is shown on the graph which statement is true
Answer:
Option (3)
Step-by-step explanation:
Given question is incomplete; here is the complete question.
The function f(x) = –x2 – 4x + 5 is shown on the graph. Which statement about the function is true?
The domain of the function is all real numbers less than or equal to −2.
The domain of the function is all real numbers less than or equal to 9.
The range of the function is all real numbers less than or equal to −2.
The range of the function is all real numbers less than or equal to 9
By using a graph tool we get a parabola opening downwards.
Since domain of a function is represented by x-values and range by y-values.
Domain of the given function will be (-∞, ∞)
Range of the function will be (-∞, 9] Or a set of all real numbers less thn equal to 9.
Therefore, Option (3) will be the answer.
Please answer this correctly
Step-by-step explanation:
pnotgrt8rthan4 = 3 ÷ 7 × 100
= 42.8571428571 / 43%
Josh and Lucy share some money in the ratio 3:7. What fraction of the money does Josh receive?
Answer:
3/10ths of the money
Step-by-step explanation:
Add together the two numbers to get the total.
Josh gets 30 percent and Lucy gets 70 percent.
3/10
Answer:
3/10
Step-by-step explanation:
3+7=10
Josh=3
Lucy=7
Flora paid her supplier $0.75 a stem for roses to sell at her flower shop. She added an 80% markup. What is the amount of markup?
Answer:
$0.60
Step-by-step explanation:
the question ask us to find the amount of the markup on Flora’s roses. The amount of markup is given by:
markup rate x original price = amount of markup
the markup rate is in decimal form
since the original price was $0.05 and the markup price is 80% = 0.80, we have
0.80 x .075 = 0.60
thus, the amount of the markup on Flora’s roses was $0.60
Solve the equation: 1. 3y+(y−2)=2(2y−1) 2. 6(1+5x)=5(1+6x)
Answer:
Step-by-step explanation:
I'm not sure what are u asking exactly
Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis).
The test statistic in a two-tailed test is z = -1.63.
a. 0.1031; fail to reject the null hypothesis
b. 0.0516; reject the null hypothesis
c. 0.9484; fail to reject the null hypothesis
d. 0.0516; fail to reject the null hypothesis
Answer: a. 0.1031; fail to reject the null hypothesis
Step-by-step explanation:
Given: Significance level : [tex]\alpha=0.05[/tex]
The test statistic in a two-tailed test is z = -1.63.
The P-value for two-tailed test : [tex]2P(Z>|z|)=2P(Z>|-1.63|)=0.1031[/tex] [By p-value table]
Since, 0.1031 > 0.05
i.e. p-value > [tex]\alpha[/tex]
So, we fail to reject the null hypothesis. [When p<[tex]\alpha[/tex] then we reject null hypothesis ]
So, the correct option is a. 0.1031; fail to reject the null hypothesis.
Question 4 of 10
Which polynomial represents the difference below?
5x2
+9x+3
(6x2-3x)
O A. -x + 12x+3
B. 5x2 + 3x + 3
O C. 5x2 + 6x + 3
O D. - x2 + 6x + 3
SUBMIT
PREVIOUS
Answer:
-x² + 12x + 3
Step-by-step explanation:
Step 1: Write expression
5x² + 9x + 3 - (6x² - 3x)
Step 2: Distribute
5x² + 9x + 3 - 6x² + 3x
Step 3: Combine like terms
-x² + 12x + 3
Rebecca collected data from a random sample of 500 homeowners in her state asking whether or not they use electric heat. Based on the results, she reports that 51% of the homeowners in the nation use electric heat. Why is this statistic misleading?
Answer:
She makes conclusion about a population that is not well represented by the sample.
Step-by-step explanation:
The conclusion she is making is about a population that is not well represented by her sample: the population is the homeowners in the nation, but the sample is made of homeowners or only her state.
The population about which she can make conclusions with this sample is the homeowners of her state, given that the sampling is done right.
Answer: The sample is biased
HELP SNOG OR WHOEVER (x+3)(y-19)
Answer:
xy-19x+3y-57
Step-by-step explanation:
Once again, FOIL is the way to go!
First, Outside, Inside, Last
xy-19x+3y-57
Answer:
xy-19x+3y-57
Step-by-step explanation:
(x+3)(y-19)
FOIL
first: xy
outer: -19x
inner 3y
last -57
Add them together
xy-19x+3y-57
find the third angle in a triangle when the other two angles are (2a-32)° and (3a+22)°
Answer:
(190-5a)°
Step-by-step explanation:
Sum of internal angles of a triangle equals to 180°
If the third angle is x, then we have:
(2a-32)°+(3a+22)° +x = 180°(5a- 10)° +x= 180°x= (180+10-5a)°x= (190-5a)°The third angle is: (190-5a)°
Find the fourth term in the expansion of the binomial
(4x + y)^4
a) 16xy^3
b) 256x^4
c) 64y^4
d) 4xy^3
Answer:
a) 16xy³
Step-by-step explanation:
For a binomial expansion (a + b)ⁿ, the r+1 term is:
nCr aⁿ⁻ʳ bʳ
Here, a = 4x, b = y, and n = 4.
For the fourth term, r = 3.
₄C₃ (4x)⁴⁻³ (y)³
4 (4x) (y)³
16xy³
What steps are used to solve the equation? g – 8 = 14 Complete the statements. First, both sides of the equation. The solution of the equation is . Check the solution by substituting for g and simplifying.
Answer:
g=22
Step-by-step explanation:
add 8 to both sides
g-8=14
g-8+8=14+8
g=14+8
g=22
The solution of expression g - 8 = 14 is,
⇒ g = 22
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ g - 8 = 14
Now, We can simplify as,
⇒ g - 8 = 14
Add 8 both side,
⇒ g - 8 + 8 = 14 + 8
⇒ g = 22
Thus, The solution of expression g - 8 = 14 is,
⇒ g = 22
Learn more about the mathematical expression visit:
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