Answer:
Option e: 2/3 is the correct answer.
Step-by-step explanation:
The slope of a line is given by:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Two-points on line are needed to calculate slope of a line. In the attached diagram, two points are highlighted which are located on line C.
The two points are:
(x1,y1) = (9,4)
(x2,y2) = (3,0)
Putting the values in the formula
[tex]m = \frac{0-4}{3-9}\\=\frac{-4}{-6}\\=\frac{2}{3}[/tex]
The slope of line C is: 2/3
Hence,
Option e: 2/3 is the correct answer.
During the winter months, heating bills can be expensive. A contractor claims that installing a new brand of insulation will considerably lower your heating bill (which was $205 last month). After conducting the test (assuming the data were provided). you find that the results are significant at the 5% level. You may also conclude: __________.a. the test would also be significant at the 10% level. b. the test would also be significant at the 1% level. c. both of the above. d. none of the above.
Answer:
The correct option is a
Step-by-step explanation:
Generally the null hypothesis is rejected (that the result is significant ) when the p-value is less that the the level of significance
Now from the question when the the level of significance was 5% the p-value was less than the level of significance so also when the level of significance is 10% the p-value will be less than the level of significance hence null hypothesis will also be rejected at this level(that is the result will also be significant at the level of significance )
$75 jacket: 5% markup
Answer:
75*1.05 = $78.75
Step-by-step explanation:
You can just multiply by 1.05 or go the long route and divide by 100 and multiply by 105.
Simplify the expression.
6(x+4)+1 =
Answer:
6x+25
Step-by-step explanation:
6(x+4)+1 =
Distribute
6x+24+1
Combine like terms
6x+25
Find the midpoint of the segment with the following endpoints.
(-4,-9) and (4, -1)
Answer:
[tex](0,-5)[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, -9)
Point (4, -1)
Step 2: Find midpoint
Substitute: [tex](\frac{-4+4}{2},\frac{-9-1}{2})[/tex]Add/Subtract: [tex](\frac{0}{2},\frac{-10}{2})[/tex]Divide: [tex](0,-5)[/tex]Applicants to a psychology department have normally distributed GRE scores with a mean, LaTeX: \muμ, of 544 and a standard deviation, LaTeX: \sigmaÏ, of 103. What percentage of applicants scored between 500 and 700? Round to the nearest percent.A. -24% B. 78% C. 2296 D. 24% E. 5%
Answer:
The probability is P(500 < X < 700 ) = 0.60044
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 544[/tex]
The standard deviation is [tex]\sigma = 103[/tex]
Generally the percentage of applicant that scored between 500 and 700 is mathematically represented as
[tex]P(500 < X < 700 ) = P(\frac{500 - 544}{103} < \frac{X - \mu }{\sigma } < \frac{700 - 544}{103} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(500 < X < 700 ) = P(-0.4272 < Z < 1.5146 )[/tex]
=> [tex]P(500 < X < 700 ) = P( Z< 1.5146 ) - P ( Z < -0.4272 )[/tex]
Generally from the z-table, the area under the normal curve to the left corresponding to 1.5146 and -0.4272 is
P( Z< 1.5146 ) = 0.93506
P ( Z < -0.4272 ) = 0.33462
So
P(500 < X < 700 ) = 0.93506 - 0.33462
=> P(500 < X < 700 ) = 0.60044
need help please full question in image
Please help needs to be rounded to the nearest hundredth
Answer: 0
Step-by-step explanation:
11 + 11= 22
22 is rounded to the nearest hundredth, which is not 100, so its 0
In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonable) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%).
In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 27% with a margin of error of 1.6%. Describe the conclusion about p using an absolute value inequality.
The answer field below uses the symbolic entry option in Mobius. That lets you type in a vertical bar | to represent absolute values. Also, when you type in < and then =, the symbolic entry option will automatically convert that too ≤ . In the same way, if you type in > and then =, the symbolic entry option will automatically convert that to ≥.
Be sure to use decimal numbers in your answer (such as using 0.40 for 40%).
Answer:
|0.254 ≤ p ≤ 0.286|
Step-by-step explanation:
Given that:
In a made up poll :
Proportion of people who like dark chocolate than milk chocolate (p) = 27%
Margin of Error = 1.6%
Hence,
p ± margin of error
27% ± 1.6%
(27 - 1.6)% ; (27 + 1.6)%
25.4% ; 28.6%
0.254 ; 0.286
Therefore ;
Lower bound = 0.254
Upper bound = 0.286
Expressing p as an absolute value Inequality ;
|0.254 ≤ p ≤ 0.286|
Ignore the marked answer, accidentally clicked it
From the Pythagoras's Theorem, we know that:
(Hypotenuse)² = (base)² + (perpendicular)²
We are Given:
We are given that the 2 legs (Base and Perpendicular) of the triangle are (m²-n² and 2mn)
Solving for the Hypotenuse:
replacing the variables in the Pythagoras's theorem, we get:
Hypotenuse² = (m²-n²)² + (2mn)²
Hypotenuse² = (m⁴ -2m²n² + n⁴) + (4m²n²) [(a-b)² = a² - 2ab - b²]
Hypotenuse² = m⁴ -2m²n² + n⁴ + 4m²n²
Hypotenuse² = m⁴ + 2m²n² + n⁴
Hypotenuse² = (m²)² + 2m²n² + (n²)²
Hypotenuse² = (m² + n²)² [a² + 2ab + b² = (a+b)²]
taking the square root of both the sides
Hypotenuse = m² + n²
(34+ (9 x 2)) divide2 = _
Answer:
26
Step-by-step explanation:
9 x 2= 18
18+34= 52
52/2= 26
Solve the equation.
3/4x+3-2x=-1/4+1/2x+5
Answer:
x=-1
Isolate the variable by dividing each side by factors that dont
contain the variable
Please help if you can. I will give you a brainliest !!
Answer:
its blurry I cant even see it
Step-by-step explanation:
How are fractions, decimals, and percents related?
Answer:
yes bc they all have sum to do wit eachother
Step-by-step explanation:
What is the probability of getting one or fewer people with a chronic heart condition in a sample of 22 if 25% of the population in this age bracket?
The question is incomplete. The complete question is :
The National Center for Health Statistics reports that 25% of all Americans between the ages of 65 and 74 have a chronic heart condition. Suppose you live in a state where the environment is conducive to good health and low stress and you believe the conditions in your state promote healthy hearts. To investigate this theory, you conduct a random telephone survey of 25 persons 65 to 74 years of age in your state.
Suppose only one person in your survey has a chronic heart condition. What is the probability of getting one or fewer people with a chronic heart condition in a sample of 25 if 25% of the population in this age bracket has this health problem?
Solution :
Chronic heart disease is a condition where a person's heart have trouble to pump blood to the body. It develops over a period of time.
In the context, we can see from the figures from National Center for Health Statistics that the expected number of persons of age 65 - 74 years having a chronic heart disease is about
25 % of 25 = 6.25
Now by Poisson's ratio, the probability of choosing the sample where only one person having heart disease is 1.4%
1) Find a unit rate for the following ratio. 135 words: 3 minutes
2 points
45 words: 1 minute
50 words: 1 minute
40 words: 1 minute
100 words: 2 minutes
Which expression is equivalent to 6x2 – 19x – 55?
Answer:
(6x + 11)(x – 5)
Step-by-step explanation:
Trust me!
Please help me solve this i need help
Answer:
21
Step-by-step explanation:
May y'all please help me
Answer:
2x^2 - 11x + 6
Step-by-step explanation:
2x^2 + 4x - 3 * (5x - 2)
Distribute -3 between the parentheses like so.
2x^2 + 4x - 15x + 6
And then add like terms 4x and 15x together.
2x^2 - 11x + 6
you bough shoes for $60. they were on sale for 40% off their original price. a. write a proportion to solve for the original price of the shoes
Answer:
$100
Step-by-step explanation:
The proportion would be [tex]\frac{60}{x} =\frac{60}{100}[/tex]. This is because you are paying for 60% of the original price and 60% is equal to [tex]\frac{60}{100}[/tex].
Auto sales in a country increased from 16.5 million in 2014 to 17.5 million in 2015. Find the percent increase in auto sales from 2014 to 2015. Round to the nearest tenth of a percent._______%
Answer:
6.1%
Step-by-step explanation:
Amount increase=17.5-16.5
=1million
% increase= amount increase/original×100% amount
= 1/16.5×100%
= 6.1%
The percentage increase in auto sales is 6.1 %
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
The auto sales of the country in 2014 = 16.5 million
The auto sales of the country in 2015 = 17.5 million
The increase in auto sales in 2015 from 2014 =
Auto sales of the country in 2015 - Auto sales of the country in 2014
The increase in auto sales in 2015 from 2014 = 17.5 million - 16.5 million
= 1 million
Now , the percentage increase in auto sales =
( Increase in auto sales / Auto sales of the country in 2014 ) x 100
The percentage increase in auto sales = ( 1 / 16.5 ) x 100
= 6.06 %
Therefore , the percentage increase is 6.1 %
Hence , the percentage increase in auto sales if 6.1 %
To learn more about percentage click :
https://brainly.com/question/12861068
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Richmond High School purchased 90 graphing calculators for $110
each. The school received a manufacturer's rebate of $10 per
calculator. After the rebate, what was the total cost of the
calculators?
Answer:
$9000
Step-by-step explanation:
110 x 90 = 9900
90 x 10 = 900
9900 - 900 = 9000
What is the equation of the line that passes through the points (-6,2) and (4,-3)
Answer:
The equation is: 9x-y = 56
Step-by-step explanation:
Given two point: (x,y) = (-6,2)
(x,y) = (4,-3)
Now, to find the slope of the line:
Slope = y1-y2/x1-x2 => 2-4/-6-(-3) = -1/9
Then, the equation of the line passing through a point:
=> y-y1 = m(x-x1)
=> y-2 = -1/9(x-6)
=> 1(y-2) = -9(x-6)
=> y-2 = -9x+54
=> 9x-y = 56
3.4+(-7)-(-0.2)
PLZ HELP
Answer:
-3.8
Step-by-step explanation:
I used my calculator.
Answer:
-3.8
Step-by-step explanation:
please help
compare. Write <, >, or =.
Answer:
1. <
2. >
3. >
4. =
5. <
6. <
7. >
8. >
9. >
10. <
11. >
12. <
13. <
14. =
15. =
16. =
Step-by-step explanation:
Amy received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.24 per pound. After buying the coffee, she had $38.80 left on her card. How many pounds of coffee did she buy?
Answer:
5 pounds
Step-by-step explanation:
Given that:
Amount of gift card = $80
Cost of coffee per pound = $8.24
Amount left in the card = $38.80
To find:
Number of pounds of coffee bought = ?
Solution:
Let the number of pounds of the coffee bought = [tex]x[/tex] pounds
Cost of 1 pound = $8.24
Cost of [tex]x[/tex] pounds = $8.24 [tex]\times x[/tex]
Writing the equation as per question statement:
[tex]80 - 8.24x = 38.80\\\Rightarrow 80 - 38.80 = 8.24x\\\Rightarrow 8.24x = 41.2\\\Rightarrow x = \dfrac{41.2}{8.24}\\\Rightarrow \bold{x = 5\ pounds}[/tex]
Therefore, 5 pounds of coffee was bought.
Write a four digit whole number that is divisible by 2. Use a divisibility rule and explain how you know that your number is divisible by 2.
I need to know the explanation will mark Brainliest
Answer:
the value of x is 23
Step-by-step explanation:
plz mark brainly
Which is NOT the graph of a function?
Οε:
te
3x^2+5x+2=0
Find what x is for both
Answer:
x = -2/3 and -1
Step-by-step explanation:
3x²+5x+2 = 0
3x²+3x+2x+2=0
3x(x+1) + 2(x+1) =0
(3x + 2) (x + 1) = 0
x = -2/3 and -1
Answer:
Exact form:
x = - 2/3, -1
Decimal Form:
x = -0.6repeated, -1
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Determine if the following vectors are orthogonal, parallel, or neither.
<2,5> and <-4, 10 >
Answer:
the are parallel to eachother