Answer:
y = -2x - 8
Step-by-step explanation:
The slope is the number in front of the x. If it is a whole number then the slope is number/1. Then the slope is rise over runs. Then the y-intercept is the number after the x. Sometimes there isn't y-intercept. In this one the y-intercept is -8.
A recent report states that 89% of Americans consider themselves above average drivers. A local newspaper is planning on conducting a survey to investigate whether this is true locally. If the newspaper assumes that the 89% claim is true and plans to use the normal approximation to calculate probabilities associated with their sample proportion, which sample size would be most appropriate?
A) 10
B) 11
C) 30
D) 91
E) The number depends on the size of the population.
Answer:
D) 91
Step-by-step explanation:
For the normal approximation, we need that:
np > 5 and np(1-p) > 5
In this question:
[tex]p = 0.89[/tex]
So
A) 10
n = 10, then
10*0.89 = 8.9 > 5
10*0.89*0.11 = 0.979 < 5
Does not satisfy.
B) 11
n = 11, then
11*0.89 = 9.79
11*0.89*0.11 = 1.0769 < 5
Does not satisfy
C) 30
n = 30
30*0.89 = 26.7
30*0.89*0.11 = 2.937 < 5
D) 91
n = 91
90*0.89 = 80.1
90*0.89*0.11 = 8.881 > 5
So this satisfies, and 91 is the answer
Answer:
D) 91
Step-by-step explanation:
A higher sample size results in lower variability, therefore higher precision.
QUESTION 1 The Senator of Azenator State, is worried about the rising numbers in high blood pressure related deaths in his Jurisdiction and wants an end to this canker. A reputable medical research officer has claimed that, the situation is probably as a result of the ageing population of his State. The blood pressures, Y (mmHg), and Ages, X (years) of 10 hospital patients were sampled from Azenator State and summarized below. Patient A B C D E F G H I J Age (X) in Years 20 25 50 30 45 60 10 15 35 70 BP(Y) in (mmHg) 80 85 125 90 100 135 80 70 100 140 NB: Approximate to 2 decimal places Use the table to answer the questions that follow; i) Calculate the product moment correlation coefficient for the data and interpret your result. (3 Marks) ii) If the Senator decides to purchase and distribute Norvasc (a medicine that reduces blood pressure), based on your results in (i), which age group (youth or old adults) should be given priority? Briefly explain your answer.
Answera and Step-by-step explanation: Correlation Coefficient is the measure of how strong two variables are. There are numerous types of correlation coefficients and the product moment correlation coefficient, also known as Pearson's correlation or Pearson's R is most commonly used in linear regression. The formula to calculate it is:
r = n(∑xy) - (∑x)(∑y) / √[∑x² - (∑x)²].[n∑y² - (∑y)²]
To find the value of R:
1) Separate the values of X and Y and out them in 2 columns.
2) Add 3 more columns: for xy, x² and y²;
3) Find the values of each column;
4) Add each column;
5) Put the sum of each column in its place on the formula above;
6) Find the correlation.
i) For this question, r = 0.9645. As it's positive, means that the two variables are directly linked, i.e., an increase in one variable will produce an increase in the other variable in the same proportion.
ii) The Senator should distribute Norvasc to the old adults groups, because, as the population grows, the death associated with high blood pressure will also grow, as explained by the correlation coefficient.
5/10 as a unit fraction
Answer:
its just 5/10, or 1/2 is it not
Step-by-step explanation:
Trent needs a total of $320 to buy a new bicycle. He has $35 saved. He earns $15 each week delivering newspapers. How many weeks will Trent have to deliver papers to have enough money to buy the bicycle?
Answer:
Trend wants to buy a new bicycle which costs 320$.
He has 35$ saved and earns 15$ each week.
After a number of weeks (a), the amount money he has: A = 35 + 15 x a
If Trend has enough money to buy that bicycle, we have the equation:
35 + 15 x a = 320
=> 15 x a = 320 - 35
=> 15 x a = 285
[tex]a = \frac{285}{15} = 19[/tex]
=> After 19 weeks, Trent will have had enough money to buy that bicycle
Hope this helps!
:)
The first quartile of the given data is 35. find the value of x.
X 0-20/20-40/40-60/60-80/80-100
F 2 x 8 5 1
The given value of the first quartile is related to the value cumulative
frequency up to the class of the first quartile.
The value of x is 1Reasons:
The first quartile is one of the five number summary.
The number of terms, N = 2 + x + 8 + 5 + 1 =16 + x
[tex]\displaystyle Q_1 = \frac{N+1}{4} \ th \ value = \mathbf{\frac{17 + x}{4} \ th \ value}[/tex]
We have;
[tex]\displaystyle Q_1 = \mathbf{ L + \frac{ \left (\frac{N + 1}{4} - pcf \right) }{f} \times C}[/tex]
Where;
The first quartile, Q₁ = 35
L = 20 in the first quartile class
PCF = The cumulative frequency of the first quartile class = 2 + x
f = The frequency of the quartile class = x
C = The class size = 10
Therefore;
[tex]\displaystyle Q_1 = 35 = \mathbf{ 20 + \frac{ \left (\frac{17 + x}{4} - (2 + x) \right) }{x} \times 10}[/tex]
Which gives;
[tex]\displaystyle 35 = \mathbf{\frac{25 \cdot x + 45}{2 \cdot x}}[/tex]
Therefore;
70·x = 25·x + 45
45·x = 45
x = 45 ÷ 45 = 1
x = 1Learn more about the five number summary here:
https://brainly.com/question/4530105
A design on a balloon is 8 centimeters wide when the balloon holds 25 cubic centimeters of air . How much air must the balloon hold for the design to be 16 centimeters wide.
Answer:
50 centimetres
Step-by-step explanation:
All of the following statements about the standard normal probability distribution are true EXCEPT: a) the expected value is 0 b) the total area under the standard normal curve is 1 c) the standard deviation can assume any positive value d) the probability that z assumes values between -1 and 1 is 0.6826
Answer:
d) the probability that z assumes values between -1 and 1 is 0.6826.Step-by-step explanation:
In a standard normal probability distribution, the Z-value depends on the data set, the mean and the standard deviation, that means, it's a variable measure, it's not a constant, that's why the choice d is wrong.
On the other hand, the other choices are correct regarding standard normal probability distribution.
Therefore, the right answer is d.
Which choice correctly expresses the number below in scientific notation?
0.000607
Answer:
Correct answer is: E
Step-by-step explanation:
0.5x + 6 > 3
I don’t know how to solve
Answer:
x > -6
Step-by-step explanation:
Move 6 to the other side:
0.5x > -3
x > -6
Rearrange the equation so u is the independent variable.
-12u + 13 = 8w - 3
w = __
Answer:
the answer is -12u/3 + 2
Answer:
W=-3/2u+2
Step-by-step explanation:
Step 1: Flip the equation.
8w-3=-12u+13
Step 2: Add 3 to both sides.
8w-3+3=-12u+13+3
8w=-12u+16
Step 3: Divide both sides by 8.
8w/8=-12u+16/8
W=-3/2u+2
Hope I helped
Insert a digit to make numbers that are divisible by 24 96__4
Which of these shapes is a parallelogram but not a square?
Select all that are true.
Answer: The top right and bottom right polygons are parallelograms and not squares.
Step-by-step explanation:
A parallelogram is a quadrilateral with two pairs of parallel sides opposing each other.
A square is a quadrilateral with two pairs of parallel sides opposing each other; however, all four sides must be equal and all angles must equal 90 degrees.
Any quadrilateral that is a parallelogram and not a square has angle measures that are not 90 degrees (or have unequal sides).
The top left image is neither. There are two sets of equal sides, but they are not parallel. The top right image is a parallelogram, as it has two pairs of parallel sides opposing each other. It is not a square, as the side lengths are unequal. The middle left image is neither. There are not two sets of parallel sides. The middle right image is a square and a parallelogram. All its sides are equal, and it has two sets of opposing parallel sides. The bottom left image is neither. It only has one set of parallel opposing sides, and they are not equal in length. (This is a trapezoid.)The bottom right image is a parallelogram, as it has two pairs of parallel sides opposing each other, and the side lengths are unequal.Only the top right and bottom right images are parallelograms and not squares.
The shapes that are parallelogram but not a square is the rectangle and the parallelogram. The rhombus is a square because the angles are 90°.
What is a quadrilateral?A quadrilateral is a polygon with four sides and four angles. A parallelogram is a quadrilateral with parallel and equal opposite sides.
A square is a quadrilateral in which all sides are equal, opposite sides are parallel and each angle measures 90 degrees.
The shapes that are parallelogram but not a square is the rectangle and the parallelogram. The rhombus is a square because the angles are 90°.
Find out more on quadrilateral at: https://brainly.com/question/16691874
A lunch menu consists of 6 different sandwiches, 4 different soups, and 4 different drinks. How many choices are there for ordering a sandwich, a bowl of soup, and a drink?
I need help please!!
Answer:
3/3/8
Step-by-step explanation:
You roll a number cube once.
What is the theoretical probability that you roll a 5 or 2? Enter your answer as a simplified fraction.
The probability that you roll a 5 or 2 is____
Answer:
The probability that you roll a 5 or 2 is [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
There are 6 total outcomes(all numbers from 1 to 6).
The desired are 2, that is, rolling 2 or rolling 5.
p = 2/6 = 1/3
The probability that you roll a 5 or 2 is [tex]\frac{1}{3}[/tex]
Answer:5/2
Step-by-step explanation:
Write this number in standard notation.
4.702 x 10
Answer:
47.02
Step-by-step explanation:
Since the exponent of the scientific notation is positive, move the decimal point 1 places to the right.
47.02
Answer:
0.0004702
Step-by-step explanation:
100 PTS PLEASE HELP PLEASEEE
Answer:
8
Step-by-step explanation:
The square root of a number is what number multiplied by itself can result in the product of this.
For example, in this question you multiply 8 by itself to get 64
8*8=64
So, the square root is 8
The number of milligrams of a drug in a person’s body after t hours is given by the function f(t) = 10e-0.3t. When will the amount of the drug be approximately 0.2 milligrams?
Answer:
amount of the drug becomes approximately equal to 0.2 milligrams after 13.04 hours
Step-by-step explanation:
Given: The function [tex]f(t)=10e^{-0.3 t}[/tex] represents number of milligrams of a drug in a person’s body after t hours
To find: time after which amount of the drug becomes approximately 0.2 milligrams
Solution:
[tex]f(t)=10e^{-0.3 t}\\0.2=10e^{-0.3 t}\\\frac{0.2}{10}=e^{-0.3 t}\\\frac{2}{100}=e^{-0.3 t}\\\frac{1}{50}=e^{-0.3 t}\\[/tex]
As [tex]e^x=y\Rightarrow x=\ln y[/tex] ,
[tex]50=e^{0.3 t}\\0.3t=\ln 50\\t=\frac{\ln 50}{0.3}=13.04\,\,hours[/tex]
So, amount of the drug becomes approximately equal to 0.2 milligrams after 13.04 hours
Answer:
13 hours
Step-by-step explanation:
right on edmentum
PLS HELP!!!!!!!!!!!!!!
Answer: B
Step-by-step explanation:
The actual distances is 1.7 - ( -0.5)= 2.2
A 1.7- 0.5= 1.2 and the absolute value of 1.2 is 1.2
B 1.7- (-0.5) = 2.2
Those in favor of using non-traditional tests (e.g., portfolios, essays, projects) to evaluate students say that their use is much fairer than using standardized tests only. This is because it means that students who are willing to work hard but who perform poorly in standardized tests will have a better chance of doing well. However, there are challenges in the use of non-traditional tests that cast doubt on their fairness. For example, it is difficult to determine if a student received any help from others in putting together his or her portfolio. In addition, there is a growing market for customized essays whereby students can pay someone else to write essays for them via the internet. At the moment, the only deterrent is a teacher's vigilance. Although teachers might be able to identify work which seems atypical for an individual student, they won't necessarily be able to conclude whether this is due to the student's hard work or due to assistance the student received from others.
Which one of the following conclusions is best supported by the passage above?
1.Use of traditional tests may not evaluate how hard a student is willing to work to get a good evaluation.
2.Challenges of the use of non-traditional tests mean that students should only be evaluated using standardized tests.
3.Use of non-traditional tests to evaluate students is not necessarily fairer than using standardized tests to evaluate students.
Answer: 1.Use of traditional tests may not evaluate how hard a student is willing to work to get a good evaluation
Step-by-step explanation:
Proponents of Traditional Tests argue that they are fairer because hard working students who may fail standadized tests may be able to pass them.
However, the text shows that that arguement has loopholes because a student could pass those Traditional testing methods by employing methods that are void of hard-work such as receiving help from other people or buying a customized essay over the internet.
Should this be the case then, Traditional tests may not be able to properly evaluate a student's hard work because one can not know if the submitted content was solely due to hard-work or if there was assistance from somewhere.
Answer:
3.Use of non-traditional tests to evaluate students is not necessarily fairer than using standardized tests to evaluate students.
Step-by-step explanation:
The Use of non-traditional tests to evaluate students is not necessarily fairer than using standardized tests to evaluate students because it is difficult to determine if a student received any help from others in putting together his or her portfolio, essay or project except if he is closely monitored by the teacher. Also a student may pay someone online to write a customized essay for him/her via the internet therefore it cannot be concluded whether it is due to the student's hard work or due to assistance the student received from others.
When the length of each leg is 3
units, the ratio of the hypotenuse
to the leg is:
Answer:
√2
Step-by-step explanation:
The ratio of the hypotenuse to the leg in any isosceles right triangle is √2.
_____
Perhaps you want to figure the hypotenuse, then compute the ratio.
c = √(a²+b²) = √(3² +3²) = √18 = 3√2
Then the ratio to a leg is ...
c/a = (3√2)/3 = √2
Answer:
1.4
Step-by-step explanation:
i just did it.
What is 2 3/11 as a decimal?
Answer:
[tex]2\frac{3}{11} \\=2.2727272727[/tex]
Step-by-step explanation:
2. If the width of a pool is 60 feet and the perimeter is 200 feet, how long is the pool?
Answer:
40 feet
Step-by-step explanation:
Have a nice day
Airplanes approaching the runway for landing are required to stay within the localizer (a certain distance left and right of the runway). When an airplane deviates from the localizer, it is sometimes referred to as an exceedence. Consider one airline at a small airport with six daily arrivals and an exceedence rate of 7%. a) Find the probability that on one day no planes have an exceedence. (2 points) b) Find the probability that at least 1 plane exceeds the localizer. (3 points) c) What is the expected number of planes to exceed the localizer on any given day? (2 points) d) What is the variance for the number of planes to exceed the localizer on any given day? (3 points)
Answer:
a) P(x = 0) = 64.69%
b) P(x ≥ 1) = 35.31%
c) E(x) = 0.42
d) var(x) = 0.3906
Step-by-step explanation:
The given problem can be solved using binomial distribution since:
There are n repeated trials independent of each other. There are only two possibilities: exceedence happens or exceedence doesn't happen.The probability of success does not change with trial to trial.The binomial distribution is given by
P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ
Where n is the number of trials, x is the variable of interest and p is the probability of success.
For the given scenario. the six daily arrivals are the number of trials
Number of trials = n = 6
The probability of success = 7% = 0.07
a) Find the probability that on one day no planes have an exceedence.
Here we have x = 0, n = 6 and p = 0.07
P(x = 0) = ⁶C₀(0.07⁰)(1 - 0.07)⁶⁻⁰
P(x = 0) = (1)(0.07⁰)(0.93)⁶
P(x = 0) = 0.6469
P(x = 0) = 64.69%
b) Find the probability that at least 1 plane exceeds the localizer.
The probability that at least 1 plane exceeds the localizer is given by
P(x ≥ 1) = 1 - P(x < 1)
But we know that P(x < 1) = P(x = 0) so,
P(x ≥ 1) = 1 - P(x = 0)
We have already calculated P(x = 0) in part (a)
P(x ≥ 1) = 1 - 0.6469
P(x ≥ 1) = 0.3531
P(x ≥ 1) = 35.31%
c) What is the expected number of planes to exceed the localizer on any given day?
The expected number of planes to exceed the localizer is given by
E(x) = n×p
Where n is the number of trials and p is the probability of success
E(x) = 6×0.07
E(x) = 0.42
Therefore, the expected number of planes to exceed the localizer on any given day is 0.42
d) What is the variance for the number of planes to exceed the localizer on any given day?
The variance for the number of planes to exceed the localizer is given by
var(x) = n×p×q
Where n is the number of trials and p is the probability of success and q is the probability of failure.
var(x) = 6×0.07×(1 - 0.07)
var(x) = 6×0.07×(0.93)
var(x) = 0.3906
Therefore, the variance for the number of planes to exceed the localizer on any given day is 0.3906.
An isosceles triangle △ABC with the base BC is inscribed in a circle. Find the measures of angles of the triangle, if measure of arc BC is 102°.
Answer:
angle at A: 51°base angles: 64.5°Step-by-step explanation:
The measure of the inscribed angle BAC is half the measure of the intercepted arc BC, so is 102°/2 = 51°.
The base angles at B and C are the complement of half this value, or ...
90° -(51°/2) = 64.5°
The angle measures in the triangle are ...
∠A = 51°
∠B = ∠C = 64.5°
Which statement is true?
A. -8xy and x+y are like terms.
B. -8xy and 9x are like terms.
C. -8xy and 9y are like terms.
D. -8xy and 9xy are like terms
Solve x^2 -24x = -80 by completing the square
Answer:
(20,4)
Step-by-step explanation:
Answer:
{4,20}
Step-by-step explanation:
b on edg got 100%
A right triangle has one angle that measures 59º. What is the measure of the other
acute angle?
Answer: 31°
Step-by-step explanation:
We know that a right triangle is equal to 180°. Since this is a right triangle, we know that one angle is 90°. Since we are given out other angle, it is very easy to find the missing angle.
180°=59°+90°+x
180°=149°+x
x=31°
Which statement is a counterexample to the following conjecture?
All mammals are dogs.
A. A labrador retriever is a mammal.
B. All mammals have hair.
C. A spider is not a mammal.
D. A cat is a mammal.
Answer:
D. A cat is a mammal.
Step-by-step explanation:
Reason being is because a cat isn't a dog, yet it's still a mammal.
Answer:
c a spider is not a mammal
Step-by-step explanation:
i mean not all dogs r mammals i mean common sense
Factorise - x^(3)-3x^(2)-10x+24 ( plss tel method also)
Step-by-step explanation:
I think we can do it in this way
x3 - 3x2 - 10x + 24
x2(x - 3) - 2(5x + 12)