Answer:
-18x^2 -54x + 72
Step-by-step explanation:
A certain department store keeps track of an age and an annual income of customers who have its credit card. From a sample of 820 of such customers the following descriptive statistics had been obtained: the average age was 41 years with the standard deviation of 16 years and the average annual income was $37,290 with the standard deviation of $2,850. The correlation between the age the annual income was found to be 0.34. Answer the following questions. (Round your answers to 2 places after the decimal point).
Calculate the value of a slope.
a) 309.23 $ per year of age
b) 60.56 $ per year of age
c) 192.43$ per year of age
d) None of the above
Answer: b) $60.56 per year of age
Step-by-step explanation: If the scatterplot of two variables shows a line and the correlation between them is strong, we can calculate a regression line.
Regression line is a line graph that best fits the data. Like any other line, its formula is given by
y = mx + b
with
m being the slope
b the y-intercept
The slope of the line, correlation and standard deviations of the two variables have the following relationship:
[tex]m=r\frac{S_{y}}{S_{x}}[/tex]
where
r is correlation
[tex]S_{y}[/tex] is standard deviation for the y data
[tex]S_{x}[/tex] is standard deviation for the x data
For our problem:
r = 0.34
[tex]S_{y}=[/tex] 2850
[tex]S_{x}=[/tex] 16
Calculating
[tex]m=0.34(\frac{2850}{16})[/tex]
m = 60.56
Slope for the regression line of annual income per year of age is 60.56.
Can anyone help me with problems 18-22?
Answer:
18.2/3
19.m^2/3
20.1/c
21.3x/2
22.2r/3
Step-by-step explanation:
In JKL, J = 7.9 inches, K = 2 inches and L =9.8 inches. Find the measure of K to the nearest degree
Answer:
4
Step-by-step explanation:
Delta math
The measure of K to the nearest degree is 4°.
What is the laws of cosines?The law of cosines, commonly referred to as the cosine rule or the cosine formula, in trigonometry essentially connects the length of the triangle to the cosines of one of its angles. It claims that we can determine the length of the third side of a triangle if we know the length of the first two sides and the angle between them.
Given ΔJKL,
j = 7.9 inches, k = 2 inches, l = 9.8 inches
to find the measure of angle K,
we can calculate the angle by cosine law,
cosK = (j² + l² - k²)/(2.j.l)
cosK = (7.9² + 9.8² - 2²)/(2*7.9*9.8)
cosK = 154.45/154.81
K = cos⁻¹(0.99748)
K = 4.067⁰ ≈ 4°
Hence angle K is 4°.
Learn more about the laws of cosines;
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what is 10 2/3 in inproper numbers
Answer:
[tex]\frac{32}{3}[/tex]
Step-by-step explanation:
you simply multiply the bottom number times the whole number:
10*3 =30
then add the top number:
30+2=32
and finally, you put the 32/3
what is the G.C.F. of 12 4 8
Answer:
4
Step-by-step explanation:
GCF = 4
4 × 3 = 12
4 × 2 = 8
Since 4 goes in both, 12 and 8, it is the GCF. Hope this helps, thank you !!
mark invested a certain amount at 5 % simple interest per year after 10 year he received an interest of 50000 how much did he invest
Step-by-step explanation:
hope it helps u...........
(giving brainiest)
answer this correctly
Answer:
A =224 in ^3
Step-by-step explanation:
Answer:
56in squared
Step-by-step explanation:
Russia bought 9 books for $3 each sold them making a profit of $18 for what price did she sell each book?
Answer:
$45
Step-by-step explanation:
Profit= $18
Books = 9
Sold each at = $3
So, total CP (Cost Price)= 9*3 = $ 27
Also Profit = SP - CP
Therefore, SP = Profit + CP
= 18 + 27 = $45
Determine the domain and the range of the graph.
Answer:
Domain: (-∞,∞)
Range: -1
Step-by-step explanation:
Domain means the x-coordinates covered:
(-∞,∞)
Range means the y-coordinates covered:
Only -1 because there are no other existing y-coordinates.
Please answer soon!!!
Answer:
Answer is A easy A A A A A A A
: Which expression represents the factorization of 56st – 21t?
A: . 7(8st - 3t)
B: 7t(8s - 3)
C: 3t ( 18s - 7)
D: 7s ( 8t - 3t)
Answer:
B: 7t(8s - 3)
Step-by-step explanation:
Method 1: check by expanding each of them
A: 7(8st - 3t)=56st-21t
B: 7t(8s - 3)=56st-2t
C: 3t ( 18s - 7)=54st-21t
D: 7s ( 8t - 3t)=56st-21st
Method 2: the common factors of 56st and 21t is: 7t
56st/7t=8s
-21t/7t=-3
56st-21t=7t(8s-3)
solve the following equation for a a-32=47
Answer:
5
Step-by-step explanation:
because use the calculator pls ......................
10. Walter makes a cable payment of $84 each month. Which table
represents the relationship between m, the number of months,
and c, the amount he has paid for cable for that length of time?
can someone help :(!
FIFTY POINTS AND BRAINLIEST TO WHOEVER IS CORRECT. Match the ecosystem element in column 1 to the cultural characteristic it most likely affects in column 2.
Answer:
hot weather-scant clothing
scarce food-conservation and hospitality
many lakes-use boats for trade
tall tree's with fruit-climbing skills
Step-by-step explanation:
The nature and characteristics of a specific ecosystem often has a telling effect on the behavior, attitude and culture of the residents. The correct matching principles are :
Tall trees with fruits - - - - > climbing skills Many lakes - - - - > Use boats for trade Hot Weather - - - - - > Scant clothing Scarce food - - - - - > Conservation and hospitality Areas with tall fruit bearing trees will often result in young residents having to climb and pluck from it. Areas surrounded by water may require both for navigation and trading. Hot Weather condition will often require the adornment of light wears. Scarce resources usually good for conservation purpose, as it serves a good source of income generation.Learn more : https://brainly.com/question/13979184?referrer=searchResults
Anna worked out at a gym for 2 hours.
Her workout included stretching for 21
minutes, jogging for 45 minutes, and
lifting weights for the remaining amount
of time. What percentage of Anna's
workout was spent lifting weights?
Answer:
! not sure if correct !
Step-by-step explanation:
54% of anna's workout was lifting weight
Answer:
45%
Step-by-step explanation:
21+45=66=1 hour 6 mins
2 hours=120 min
120-66=54
(54/120)x100=45 45%
Based on historical data, your team knows what proportion of the company's number of orders come from Indiana residents. However, your team would like to expand its orders beyond the state of Indiana. By the end of this year, you think you would like your total proportion of orders from Indiana to be between 0.66 and 0.73. If you took a simple random sample of 99 current orders, what is the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73
This question is incomplete, the complete question is;
Based on historical data, your team knows what proportion of the company's number of orders come from Indiana residents. However, your team would like to expand its orders beyond the state of Indiana. By the end of this year, you think you would like your total proportion of orders from Indiana to be between 0.66 and 0.73. If you took a simple random sample of 99 current orders, what is the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73
Note: You should carefully round any intermediate calculations to 4 decimal places to match wamap's approach and calculations. After you round to 4 places, use THAT rounded value in later steps. You may need an appropriate population proportion (which you actually found in a previous problem).
Some data:
Total population: 2327
Indiana residents: 1845
Other: 482
Frequency table results for Total Sales:
Count = 2327
Total Sales Frequency
0 to 200 1960
200 to 400 303
400 to 600 53
600 to 800 9
800 to 1000 2
Answer:
The probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73 is 0.0612
Step-by-step explanation:
Given the data in the question;
p" = Indiana residents / Total population
p" = 1845 / 2327
p" = 0.7929
Now, the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73 will be;
P( 0.66 < p < 0.73 ) = P{ [x1 - p" / √( p"(1-p")/n )] < p < [x2 - p" / √( p"(1-p")/n )] }
we substitute
= P{ [0.66 - 0.7929 / √( 0.7929(1-0.7929)/99 )] < p < [0.73 - 0.7929 / √( 0.7929(1-0.7929)/99 )] }
= P{ [-0.1329 / 0.0407] < p < [-0.0629 / 0.0407] }
= P{ -3.2654 < z < -1.5455 }
= ⊕( -1.5455) - ⊕(-3.2654)
from the standard normal table;
= 0.0618 - 0.0006
P( 0.66 < p < 0.73 ) = 0.0612
Therefore, the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73 is 0.0612
Can someone help me with this I need help
Answer:
d)550
15 * 10 = 150; 150 * 2 = 300
5 * 10 = 50; 50 * 2 = 100
5 * 15 = 75; 75 * 2 = 150
300 + 100 + 150 = 550
Question 2 1 pts Asplaner has three sections colored green, purple, and pink. If the spinner is spun three times, how many possible outcomes are there!
Answer:
27
Step-by-step explanation:
The Counting Principle states that the number of possible outcomes is equal to the product of the number of outcomes for each event. In this case, (M)(N)(O).
There are 27 possible outcome if the spinner is spun three times.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given, A spinner has three sections colored green, purple, and pink.
From the general formula of probability:
Probability = (desired outcomes)/(Total outcomes)
In our case,
the three possible outcomes of this event occurring are Green, Purple, and Purple, Green.
The desired outcomes = 3
The total outcomes = 3 x 3 x 3 = 27
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Find the slope of the line passing through the pair of points or state that the slope is undefined.
(-2,6) and (5,5)
Answer:
[tex]\displaystyle m=\frac{-1}{7}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-2, 6)
Point (5, 5)
Step 2: Identify
x₁ = -2, y₁ = 6
x₂ = 5, y₂ = 5
Step 3: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{5-6}{5+2}[/tex][Slope] [Fraction] Subtract/Add: [tex]\displaystyle m=\frac{-1}{7}[/tex]To make meatloaf. mix 2 pounds of beef and 0.5 of a cup of breadcrumbs. How many pounds of beef
would you mix with 4.5 cups of breadcrumbs
Answer:
18 pounds of beef.
Step-by-step explanation:
For every 0.5 cups of breadcrumbs there's 2 pounds of beef.
0.5 x 9 = 4.5
9 x 2 = 18 or 2 x 9 = 18
multiples of two: 2 4 6 8 10 12 14 16 18
This shows that when we multiply 2 nine times we get 18!
What is the y intercept of the graph
A. -2
B. 2
C. -4
D. 4
Answer:
option C = -4
Step-by-step explanation:
Because the line is in the y-axis of -4
Option C) -4
REASON:the line is on the Y axis of -4
Subtract 8 - 3 3/8. Simplify the answer and write as a mixed number.
Answer:
not 100% sure but I think it's 27/8
Step-by-step explanation:
I give you all right to be mad if i'm wrong (:P)
Complete the following statement.
Mac mixes 14 ounces of red paint with 6 ounces of blue paint. The ratio of blue paint to total paint is because for every 6 ounces of , there is 20 ounces of .
Answer:
The Ratio you are looking for is 5:8
Step-by-step explanation:
Answer:
6: azul
20: lila o morado
A game is played with a circular spinner that contains 8 different colors. The design
of the spinner is the order in which the colors are arranged. How many ways can
this spinner be designed?
Answer:
64 ways
Step-by-step explanation:
there are 8 different colors, with 8 different possibilities on the color arrangement.
The value of Amy's car depreciated each year after she bought it. The function v(t) = 24,893(0.88)^t represents the value of Amy's car t years after she bought it. What is the rate of depreciation?
Answer:
12%
Step-by-step explanation:
Its is correct
can anyone help me please?
Answer: I think it might be A bit Im not sure
Step-by-step explanation:
Answer:
i think its A not suree
Step-by-step explanation:
I need da answer to it and more
Answer:
The answer is 0 if there are 85 inches in the past year then there wouldn't be any in the present year.
Step-by-step explanation:
The price technology stock dropped to $9.71 today. Yesterday's price was $9.82. Find the percentage decrease.
An examination class of 55% of pupil scored 70% , if 54% scored above 70%. how many scored above 70%.
Answer:
54
Step-by-step explanation:
Let us assume the examination class is of 100 students
Now 55% scored 70% so 55% of 100 is 55
And, the 54% scored above 70% so 54% of 100 is 54
Therefore there are 54 who scored above 70%
Hence, the same would be considered and relevant too