Answer:
35
Step-by-step explanation:
The sample size should be as large as, 55 is the largest value option fifth 55 have the least variability in the sampling distribution of the sample mean.
What are population and sample?It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.
We know in sampling distribution:
variance ∝ 1/√n
Because,
[tex]\rm \sigma_\bar{x} \ =\ \sigma_{\sqrt{n}}[/tex]
From the above relation, as the sample size is large, the variability is less.
For least variability,
The sample size must be large.
Thus, the sample size should be as large as, 55 is the largest value option fifth 55 have the least variability in the sampling distribution of the sample mean.
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The age at which small breed dogs are fully housebroken follows a Normal distribution with mean ms = 6 months and standard deviation ss = 2.5 months. The age at which large breed dogs are fully housebroken follows a Normal distribution with mean mL = 4 months and standard deviation sL = 1.5 months. Let xS – xL represent the sampling distribution. Be sure show all work and conditions. Let the sample size for both sets be 25 dogs. Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.
Answer:
This measure is just 0.17 standard deviations from the mean, so we should not be surprised.
Step-by-step explanation:
Normal probability distribution
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.
If the z-score is lower than -2, or higher than 2.5, the score of X is considered unusual.
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
Let xS – xL represent the sampling distribution.
Mean s 6, means L 4. So
[tex]\mu = 6 - 4 = 2[/tex]
Standard deviation s is 2.5, for L is 1.5. So
[tex]\sigma = \sqrt{2.5^2+1.5^2} = 2.915[/tex]
Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.
We have to find the z-score for X = 2.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.5 - 2}{2.915}[/tex]
[tex]Z = 0.17[/tex]
This measure is just 0.17 standard deviations from the mean, so we should not be surprised.
9/4 divided by 3/4 =
: mario ate 4 hot dogs. 1 of them had mustard on it and the rest were plain. what fraction of Marios hot dogs were plain? write an equivalent fraction for this amount..
Two angles of a triangle have measures of 55° and 65°.
Which could not be a measure of an exterior angle of the
triangle?
A. 120
B.125
C.130
D.115
The sum of an interior angle and an exterior angle is 180°. Then the 130° is not an exterior angle of the triangle.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
The two angles of a triangle have measures of 55° and 65°. Then the third angle (x) will be
w + 55° + 65° = 180°
w = 180° - 120°
w = 60°
Let the exterior angle be x, y, and z.
The sum of an interior angle and an exterior angle is 180°. Then we have
[tex]\rm x = 180^o - 55^o = 125^o \\\\y = 180^o - 65^o = 115^o \\\\z = 180^o - 60^o = 120^o[/tex]
More about the triangle link is given below.
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When x=1, then y= ___
Please I need the answer soon.
Answer:
When x = 1, y = -2
Step-by-step explanation:
The equation of this line is y = x - 3, so when x = 1, y would equal 1 - 3 or -2.
Answer:
x=1, then y= -2
3x+4y=11 x-2y=2 solve the system of equations
3x - 4 = -2x +3 what is x
Answer:
3x - 4 = -2x + 3
3x + 2x = 3 + 4
5x = 7
x = 5/7
Step-by-step explanation:
1. move the same term to one side
2. the rest are simply solving equation
What is the equation of the line that is parallel to the
given line and passes through the point (-2, 2)?
Answer:
undefined
Step-by-step explanation:
What is the square root of 7?
Answer:
2.64575
Step-by-step explanation:
Look at pic plz help
Answer:
Mochi is growing quicker.
Step-by-step explanation:
At 3 weeks Mochi was 13 pounds but Kappa was only at 11. Hope this helps! I'd really appreciate brainliest.
Answer:
Mochi
Step-by-step explanation:
by 2 weeks Mochi was at weight 9 while Kappa was at 8 in weight the same time.
A zoo worker works 189.25 hours in 23 days. If she works the exact same number of hours per day, how many hours does she work each day?
Jose has 7 mangoes. He wants give then to his 10 friends. How much can each friend get? *
Answer:
it would be 7 divided by 10, so .7 i think?
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
7/10 bc if there are 7 mangos and 10 friends then 10 (the number of friends ) is the amout in all and 7 (the amout of mangos ) is the fraction of the whole that willl be passed out
4. Eddie drops a heavy book onto the floor. What does the energy of the book turn into when the book hits the floor?
O radiant energy
sound and heat energy
potential energy
O kinetic energy
Answer:
Heat and sound energy
Step-by-step explanation:
It starts off as potential energy, which is then converted to kinetic energy and by impact it'll develop a sound and heat energy.
Sound waves generates heat, and if some glass fell on the floor you can heat the shatter from the sound waves. The same goes for a book.
Which expression is the completely factored form of the expression x2 - 3x - 28
(x + 14)(x - 2)
(x + 14)(x + 2)
(x - 7)(x + 4)
(x + 7)(x-4)
Answer:
(x-7)(x+4)
Step-by-step explanation:
PLATO
What is the equivalent distance of 60,000 centimeters in kilometers?
1 m = 100 cm
1 km = 1000 m
Enter your answer in the box.
60,000 cm =
km
Answer: it would be 0.6
Step-by-step explanation: why?, because, you must divided 60,000 by 100,000. To get the kilometer 0.6 I hope this helps :), I also took the test!.
Answer:
0.6
Step-by-step explanation:
the answer above is correct
Approximate which two integers 30 is
between.
Answer:
29 and 31
Step-by-step explanation:
What integer is -1 away from 30? 29. What integer is +1 away from 30? 31. 29 and 31
Plz help me! I’m not sure how to do these!
Answer:
Step-by-step explanation:
Wait where is the picture
Can someone solve this please
Answer:
4. 2.4
5. [tex]0.123 = \frac{123}{1000}[/tex]
6. IV
Step-by-step explanation:
4. 3 < 5, so we don't add a tenth when rounding. Hence the answer is 2.4
5. [tex]0.123 = \frac{123}{1000}[/tex]. Because [tex]123[/tex] isn't divisible by 2 or 5, we know that this is the most simplified form.
6. Putting the I before the V negates the I. So IV = 5 - 1 = 4.
In Ellen's math class, there are 2 boys for every 3 girls. If there are 21 girls in the class, how many boys are in the class?
Answer: 14 boys
Step-by-step explanation:
ratio 2:3
7 divided by 21 = 3, so 7 times 2 equals 14
Answer:
14
Step-by-step explanation:
Divide 21 by 3, you get 7. Multiply 7 by 2, you get 14.
If y varies inversely with x, and y = 48 when x = 6, find y when x = 18.
Answer:
y = 16
Step-by-step explanation:
Given that,
y varies inversely with x i.e.
[tex]y=\dfrac{k}{x}[/tex]
Where
k is a constant of proportionality
Put y = 48 and x = 6 in the above equation to find k.
So,
[tex]k=48\times 6\\\\k=288[/tex]
Now put k = 288 and x = 18 in the above equation to find y.
[tex]y=\dfrac{288}{18}\\\\y=16[/tex]
So, the value of y is equal to 16 when x = 18.
Answer:
16
Step-by-step explanation:
select all the sides lengths that will form a triangle?
A. 14 IN, 5 IN, 9 IN
B. 11 CM, 13, CM, 12 CM
C. 25 MM, 12 MM, 12 MM
D. 10 FT, 24FT, 26 FT
E. 5 YD, 5, YD, 5, YD
F. 18 CM, 46, CM, 26 CM
Thank you! :)
B
Step-by-step explanation:
11CM, 13CM, 12CM forms a triangle
Analyze the diagram below and complete the instructions to follow.
Find a, b and c
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6
Micah is twice as old as Richard. Richard is three times as old as Ken. Ken is six years old. How old is Micah?
Answer:
36
Step-by-step explanation:
Ken = 6 yo
6 *3 = 18
Richard = 18 yo
8 * 2 = 36
Micah = 36
The age of Micah is 36 years.
What is arithmetic operation?A subfield of mathematics known as arithmetic operations deals with the study and application of numbers to all other subfields of mathematics. Operations like addition, subtraction, multiplication, and division make up the bulk of it.
These fundamental mathematical operations (+, -, ×, and ÷) that we use every day.
Given age of Ken = 6 years
let age of Micah be m and age of Richard be r
acc. to condition
Micah is twice as old as Richard
m = 2r
Richard is three times as old as Ken
r = 3 ken
r = 3 x 6
r = 18
Richard age is 18 years.
m =2r
m = 2 x 18
m = 36 years
Hence age of Micah is 36 years.
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David measured a line to be 13.5 inches long. If the actual length of the line is 16.6 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer:
18.67
Step-by-step explanation:
(l2-l1)/l2 * 100%
where l2=16.6
l1=13.5
Answer:-23
Step-by-step explanation:
I will make brainliest for whoever helps
Answer:
s [tex]\leq[/tex] 14
Step-by-step explanation:
divide both sides by 7
Answer: For the first part, the answers are 4, 9, 11, 13, and 14. I have no idea how to do the 2nd part though. Sorry.
Step-by-step explanation: Divide 98 by 7. This gives you 14. However, s can be equal to or less than 14, giving you multiple answers which are 4, 9, 11, 13, and 14. Hopefully this helps.
Let f(x) = 4x - 1, h(x) = - X-3.
Find (f o h)(-5).
Answer:
(f o h)(-5)=-33
Step-by-step explanation:
Let f(x) = 4x - 1, h(x) = - X-3.
(f o h)=4(-x-3)-1
(f o h)=-4x-12-1
(f o h)=-4x-13
(f o h)(-5)=-4(-(-5))-13
(f o h)(-5)=-20-13
(f o h)(-5)=-33
12. How much more energy is released by an earthquake with a magnitude of 8.0
on the moment magnitude scale than one with a 6.0 magnitude?
A 32 times more
B 64 times more
c 2 times more
D. 20 times more
Answer:
Lets conside the order of magnitudeWe have a different of 8.0- 6.0=2.0 An 8 magnitude has 63.09 ×10^15 joules A 6 magnitude has 63.09×10^12 J Which is 1000 times more energy Your answer choices are incorrect I do quizzes and exams if your interestedIf i want to build a fence around my rectangular yard, what is the area in fencing if one side is 50 feet long and the other is 80 feet wide?
Answer:
70 feet total
Step-by-step explanation:
Answer:
4,000
Step-by-step explanation:
50•80=4,000
Corn chips cost 29.5 cents per ounce. If a bag cost $3.87, how many ounces are in the bag of chips?
Answer:
13.1
Step-by-step explanation:
Answer:
Around 13 ounces
Step-by-step explanation:
3/4 divided by 1/5 PLEASE ANSWER
Answer:
3.75
Step-by-step explanation:
To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.
Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:
To make the answer to 3/4 divided by 1/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
15/4 = 3.75
The answer is rounded to the nearest four decimal points if necessary.
15/4 is an improper fraction and should be written as 3 3/4.
Answer:
3.75
Step-by-step explanation: