Answer:y=x+5
Step-by-step explanation:
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x + 16/x , [0.2, 16}
Find the stationary points.
f(x) = x + 16/x
f '(x) = 1 - 16/x ²
Solve f '(x) = 0.
1 - 16/x ² = 0 → x ² = 16 → (x - 4) (x + 4) = 0
→ x = -4, x = 4
Check the value of f at the stationary points. x = -4 is not in the provided domain so we can omit it.
f (4) = 8
Check the value of f at the boundary of the domain.
f (0.2) = 401/5 = 80.2
f (16) = 17
Then over [0.2, 16], we have max(f ) = 401/5 and min(f ) = 8.
Lamar buys 0.8 gallon of gas to use in the lawnmower the price of the gas is 2.95$ per gallon how much does Lamar play for the gas
Answer:$2.36
Step-by-step explanation:
2.95 x .8 = 2.36
(7-9i)(4-2i)multiply and simplify
Answer: -32-126i
Step-by-step explanation:
Whoever responds first will get marked Best.
The amount of wallpaper needed to cover the wall is an example of which
A: area
B: volume
C:perimeter
D:length
Answer:
A area
Step-by-step explanation:
HELP ASAP WILL BRAINLYIST
Which angles are alternate interior angles?
Angle3 and angle5
Angle1 and angle7
Angle3 and angle7
Angle 4 and angle5
Answer:
Angle 3 and Angle 5 are the alternate interior angles.
19. A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years, respectively.19a. Describe the shape of the sampling distribution of the sample mean in this case.19b. Find the mean and standard error of the sampling distribution of the sample mean.19c. What is the probability that the mean age exceeds 73 years
Answer:
a) Approximately normal.
b) The mean is 75 years and the standard deviation is 0.8485 years.
c) 0.9909 = 99.09% probability that the mean age exceeds 73 years
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Sample of 50 retirees
This means that [tex]n = 50[/tex]
Mean age and standard deviation are 75 and 6 years
This means that [tex]\mu = 75, \sigma = 6[/tex]
a. Describe the shape of the sampling distribution of the sample mean in this case
By the Central Limit Theorem, approximately normal.
b. Find the mean and standard error of the sampling distribution of the sample mean.
By the Central Limit Theorem, the mean is 75 and the standard error is [tex]s = \frac{6}{\sqrt{50}} = 0.8485[/tex]
c. What is the probability that the mean age exceeds 73 years?
This is 1 subtracted by the pvalue of Z when X = 73.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{73 - 75}{0.8485}[/tex]
[tex]Z = -2.36[/tex]
[tex]Z = -2.36[/tex] has a pvalue of 0.0091
1 - 0.0091 = 0.9909
0.9909 = 99.09% probability that the mean age exceeds 73 years
i got used for points like 4- times already 5 time is a charm someone would help ?
Answer:
B
Step-by-step explanation:
Because i said it is
Answer:
The answer for A is (3,5) so plot that into the graph. Those are the coordinates for F
The answer for B is "F and C are 5 units away from the x-axis
The answer for C is "The distance between F and C is 10 units"
Step-by-step explanation:
can you help thanks
Find the distance, c, between (0, –4)
and (1, 5)
on the coordinate plane. Round to the nearest tenth if necessary.
Answer:
d ≈ 9.05Steps:
d = √( (1-0)² + (5-(-4)² )
d = √( 1² + (5+4)² )
d = √( 1 + 9² )
d = √( 1 + 81 )
d = √82
d ≈ 9.052/7 of students in a school are in 8th grade.
How many students are in the school if 40 of them are 8th graders?
Answer:
140
Step-by-step explanation:
First we would find the unit rate of students per seventh. So we would do 40 divided by 2 which gives us 20. So per 1/7 we have 20 students. Which we can then say 7 x 20 = 140. So in total there are 140 students
Hope this helped
Given : ABCD is a rectangle
m∠B1DB = 60°, m∠ADB = 45°
DB1=37
Find: Volume
Answer:
Step-by-step explanation:
∠B₁DB = 60°
△B₁BD is a 30°-60°-90° triangle. The sides are in the ratio 1:√3:2
B₁D = 37 ⇒ BD = 37/2 = 18.5
BB₁ = 18.5√3
△ABD is isosceles
AB = AD = BD/√2 = 18.5/√2
volume = AB × AD × BB₁
= (18.5/√2) × (18.5/√2) × 18.5√3
= 18.5³√3/2
≅ 5483 cubic units
In the interval 0º < x < 360°, find the values of x for which tan x= -0.6745
Give your answers to the nearest degree.
Step-by-step explanation:
Given interval
0º < x < 360°
tan X = - 0.6745
tan X = tan 146 ° , tan 326
Either
tan X = tan 146
x = 146°
Or
tan X = tan 326°
x = 326°
Therefore the answers are
x = 146° and 326°
Hope it will help :)❤
The height (in inches) of males in the United States is believed to be Normally distributed. The average height of a random sample of 50 American adult males is 69.72 inches and the standard deviation of the 50 heights is s = 4.23. The best pint estimate for the average height if males in the United States is_____inches. Give answer to the hundredths place.
Answer:
69.72 inches.
Step-by-step explanation:
The best point estimate for the average height if males in the United States is...
For large samples, as we have here, the best point estimate is the sample mean. In this question, the sample mean is of 69.72 inches, so the answer is 69.72 inches.
Patrick randomly selects a marble from a bag , records the color and then returns the marble to the bag . After 40 trials , he has recorded 14 red marbles 12 blue marbles yellow marbles and 4 green marbles Which of the following experimental probabilities is correct based on his record ?
Answer: A
Step-by-step explanation:
A scientist measured a museum specimen. She recorded the measurement as 75 centimeters. What could the scientist have been measuring? length of a dinosaur bone
mass of a dinosaur bone
length of a gem
mass of a gem
Answer:
75cm is the measurment
Step-by-step explanation:
It would have had to have been the lenght of the gem because 75cm or 75 centimeters is a measurment not the mass of something. The mass is the amount of matter in an object.
what is the difference between 0.02 and -0.02
Answer:
0.04
Step-by-step explanation:
Using absolute value |.02|+|.-02|= .04
Answer please..........
Answer:
Rasheed has sent 66 massages , Hassan has sent 22 , Shima has sent 29
divide the 240g into the ratio 5:3:4?
5x+ 3x +4x =12x
12x =240
X=20
100:60:80
Help with this pls if you don’t know the answer please don’t answer
a person has 1008 stamps. He has many stamps to owe. He owes his brother 218 stamps. He owes a collecter 150 stamps. How many stamps does he owe and how mush left will he have left after paying the debts?
WILL MARK!! pls help:)
Find x and y so that ABCD will be a parallelogram.
Answer:
your answer will be B. 46
Step-by-step explanation:
hope it helps you...
have a great day!!!
What is the product?
(**(3x2-2) (4x2 +5x)
.
O 12x + 15x8 - 8x8 - 10x5
O
12x24 + 15x12 - 8x8 - 10x4
O 12x9-10x5
O 12x24 - 10x4
The product of the expression (3x² - 2) (4x² + 5x) is 12x⁴ + 15x³ - 8x² - 10x.
What is Multiplication?
Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given expression is (3x² - 2) (4x² + 5x).
This can be written as,
(3x² - 2) (4x² + 5x) = 3x² (4x² + 5x) - 2 (4x² + 5x)
We have to use distributive property here.
a(b + c) = ab + ac for any three numbers or expressions, a, b and c.
(3x² - 2) (4x² + 5x) = 3x² (4x² + 5x) - 2 (4x² + 5x)
= (12x⁴ + 15x³) - (8x² + 10x)
= 12x⁴ + 15x³ - 8x² - 10x
Hence the product is 12x⁴ + 15x³ - 8x² - 10x.
To learn more about Multiplication of Expressions, click :
https://brainly.com/question/29052794
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there are 65 cookies in a jar. the probability of randomly choosing an oatmeal cookie from the jar is 40% how many of the cookies are oatmeal cookies pls help
Answer:
25
Step-by-step explanation:
HELP ME PLEASE I HAVEE 5 MINNS lEft HELP
Answer:
im going to guess the last answer. theone that i can't see
Step-by-step explanation:
Find the vertex of the parabola y=2x^2+10x+8
Answer:
Step-by-step explanation:
Put the equation into vertex form.
y = 2x² + 10x + 8
= 2(x² + 5x) + 8
= 2(x² + 5x + 2.5²) - 2·2.5² + 8
= 2(x+2.5)² - 4.5
vertex (-2.5, -4.5)
A music therapist was interested in investigating whether listening to music or composing music had an influence on both anxiety levels and oxygen saturation in children who were hospitalized for asthma-related illnesses. Thirty-two children spent 20 minutes listening to classical waltzes played on a piano. On a different day, they spent 20 minutes composing their own short pieces of music using a software program.
When listening to music: For the physiological measure, the critical value for t was larger than the test statistic for the observed data. For the anxiety measure, the critical value for t was smaller than the test statistic for the observed data.
When composing music: For the physiological measure, the critical value for t was larger than the test statistic for the observed data. For the anxiety measure, the critical value for t was larger than the test statistic for the observed data.
When writing the results of the music therapist's study, which of these statements reflects the correct conclusions that should be drawn from the results and then included as part of the interpretation paragraph?Question 8 options:
a) Music therapists should make pediatric asthma patients compose music in order to increase their oxygen saturation.
b) Music therapists should make pediatric asthma patients listen to music in order to reduce their anxiety.
c) Pediatric asthma patients should listen to music in order to increase their oxygen saturation.
d) Additional information is needed to draw a proper conclusion.
Answer:
The correct conclusion is;
d) Additional information is needed to draw a proper conclussion
Step-by-step explanation:
The given parameters are;
When listening to music;
Physiological measure Critical t > Test statistic Accept H₀
Anxiety measure Critical t < Test statistic Reject H₀
When composing music;
Physiological measure Critical t > Test statistic Accept H₀
Anxiety measure Critical t > Test statistic Accept H₀
When the test statistic is larger the critical 't'
Therefore, the test suggest that there is no difference between physiological and anxiety influence of composing music on pediatric asthma patients
There is sufficient statistical evidence to suggest that listening to music has an influence on the anxiety of pediatric asthma patients however, the nature of the influence is not specified and more information is needed to draw a proper conclusion
the volume of water in eight containers are 3.1, liters, 2.8 liters, 3.2 liters, 4.2 liters, 3.9 liters, 5.6 liters, 3.7 liters, and 4.5 liters find the median volume
Answer: 4.05
Step-by-step explanation: the two median numbers are 4.2 and 3.9 divided by 2 and that gave me 4.05
I need help please.
Answer:
[tex] {120m}^{3} [/tex]
Remember to find the volume it is the
length x height x breadth
SOMEONE PLEASE HELP NO LATE RESPONSES JUST PLEASE ASAP
Answer:
93.5
Step-by-step explanation:
this is on ttm or imagine math
Answer:
I think the answer is A as well
Step-by-step explanation:
Answer:
a a a a a a a a a a a a a
Step-by-step explanation:
