standard unit of capacity
Answer:
Liter.
Step-by-step explanation:
Capacity can be defined as the maximum amount or quantity of liquid that a container can hold at a specific period of time. It is also referred to as the inner volume of a container.
The standard unit of capacity is a liter.
Note:
1 centimeter = 0.001 liters
1000 liters = 1 milliliters
A sociologist was hired by a large city hospital to investigate the relationship between the number of unauthorized days that employees are absent per year and the distance (miles) between home and work for the employees. A sample of 10 employees was chosen, and the following data were collected.
Distance to Work (miles) Number of Days Absent
1 9
3 6
4 9
6 8
8 7
10 2
12 4
14 3
14 5
18 1
Required:
a. Develop the least squares estimated regression equation used to predict the number of days absent given a certain distance to work.
b. Is there a significant relationship between the two variables? Use α = 0.05.
c. Did the estimated regression equation provide a good fit? Explain.
d. Is the estimated regression equation appropriate and adequate?
e. Are there any outliers in the data? If yes, identify them.
Answer:
y = -0.43841X + 9.34565
Step-by-step explanation:
Given the data:
Distance to work (x) :
1
3
4
6
8
10
12
14
14
18
Y:
9
6
9
8
7
2
4
3
5
1
The least square estimated regression equtyol obtained using a linear regression calculator is :
y = -0.43841X + 9.34565
Yes, from the correlation Coefficient value, R which yields - 0.8444, shows they a strong linear relationship exists between the two variables.
The obtained regression equation is appropriate
Domain and range and function.
Need ASAP
Answer:
Domain: [tex]All \ real\ numbers[/tex]
Range: [tex]y\geq -5[/tex]
Function: [tex]|x|-5=y[/tex]
Step-by-step explanation:
The domain of this function is all real numbers, this is because any real number can be substituted into this function to produce a real output.
The range of this function is ([tex]y\geq -5[/tex]), this is because all outputs are greater than (-5), rather (-5) is the lowest output that one can have.
The function is [tex]|x|-5=y[/tex]. As one can see, the function as the shape of an absolute value function, the v-shape composed of two ([tex]y=x[/tex]) lines facing opposite directions. The graph has been shifted downwards by (5) units, one can see this because of the vertex formed by the two intersecting lines.
The question above is what I need to know
Answer:
a
Step-by-step explanation:
Answer:
angles 1 and 3 are supplementary
Factor 10x2 – 42x – 108.
Question 20 options:
A)
(5x + 9)(x + 6)
B)
2(5x + 9)(x – 6)
C)
(x + 9)(5x – 6)
D)
2(10x – 9)(x + 6)
Answer:
B
Step-by-step explanation:
You have to know how to factor polynomials.
2(5x^2-21x-54)
2(5x^2-30x+9x-54)
2(5x(x-6)+9(x-6))
2(5x+9)(x-6)
A man orders5 times as many boxes of ballpoint pens as boxes of felt tip pens. Ballpoint pens cost $4.31 per box, and felt tip pens cost$3.44. If the mans order of pens totaled $99.96 how many boxes of each pen did he buy?
Answer:
76.38
Step-by-step explanation:
x = the number of boxes of felt tip pens
5x = the number of boxes of ballpoint pens
5x*4.41 + x*3.41 = 76.38
Brainliest for answer
Answer:
the answer would be the letter A
5. Put >, <, or = in between
-0.0001701
-0.0001710
Answer:
-0.0001701 > -0.0001710
Step-by-step explanation:
-0.0001701 is greater than -0.0001710 since it is closer to 0
Find the value of b. A. 14 B. 15 C. 64 D. 289
Answer:
B) 15
Step-by-step explanation:
8²+b²=17²
64+b²=289
b²=289-64
b²=225
b=√225
b=15
Taylor Swift CD’s sell for $10 and Selena Gomez CD’s sell for $15. If a music store sold 18 CD’s and worth $240, how many of each CD did they sell?
Answer:
ts 24 sg 18
Step-by-step explanation:
Answer: she sold 6 of the Taylor Swift cd’s($10 cd’s) and 12 of the Selena Gomez cd’s ($15 cd’s)
help please will mark brainliest!
Find the area. Simplify your answer.
Answer:
If you know what x is then you can add it to 1 multiply that by 7 to get the answer then simplify, since you cannot simplify whole numbers you know that it is a decimal. To simplify a decimal remove the decimal point and reduce the ratio to a ratio of whole numbers. Multiply the numerator and denominator of the ratio in fraction form by a 10, 100, 1000 i.e., a power of ten to eliminate the decimal. Then the fraction is simplified to be in its lowest terms.
Step-by-step explanation:
2 math questions they can you guys help me
Answer: 1. The answer is A. 2. The answer is C again
Step-by-step explanation:
Solve the proportion.
20/16 =d/12 d= pls help
Answer:
d=15
Step-by-step explanation:
Cross multiply 20 * 12 =240
16 * d = 16d
16d=240
d=15
The pool has a deck that is 9 meters wide on all sides. What is the perimeter of the pool?
Answer:
36 meters
Step-by-step explanation:
If the pool has 4 sides, and every side is 9 meters you add 9+9+9+9 to get 36 or just multiply 9 x 4.
Milly has a equal number of 20p coins and 50p coins . The value of her 20p coins is £2.80 . Work out the total value of her 20p and 50p coins
Answer:
£9.80
Step-by-step explanation:
The calculation of the total value is given below:
Provided that that
The value of 20p coins is £2.80
So 1p = £2.80 ÷ 20
= £0.14
For 50p it would be
= £0.14 × 50
= £7
Now the total value is
= £2.80 + £7
= £9.80
solve for the following equation
6Y+4 = 4y-2
Answer:
y = -3
Step-by-step explanation:
6y +4 = 4y- 2
2y= -6
y= -3
pls Mark as brainliest
change 0.7 into a percentage
Answer:
70%
Step-by-step explanation:
To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.7 × 100 = 70%
Pls mark brainiest if it helped :P
Answer:
70%
Step-by-step explanation:
To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.7 × 100 = 70%
I learned this from 5th grade i think, but hope this helps alot
It is a question that has varied answer.
Step-by-step explanation:
most questions have valid us answers actually so yeah
Answer:
Multiplication tables
In △ ABC and △ PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm . Which of the following statements is true ?I
△ ABC ≅ △ QPR
△ ABC ≅ △ QRP
△ ABC ≅ △ RQP
Given:
In △ABC and △PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm.
To find:
The correct congruency statement for the given triangles.
Solution:
In △ABC and △PQR,
[tex]AB=QR=5\ cm[/tex] (Given)
[tex]BC=PQ=6\ cm[/tex] (Given)
[tex]AC=PR=8\ cm[/tex] (Given)
All three corresponding sides of both triangles are equal. On comparing both triangle, it is conclude that the corresponding angles of A, B, C are R, Q, P respectively.
[tex]\Detla ABC\cong \Delta RQP[/tex] (SSS congruency postulate)
Therefore, the correct option is C.
Theres is a 10% chance of rain tomorrow. A spinner with 10 sections is spun to simulate the probability of rain, where spinning a 1 indicates rain. If the results are 3, 6, 1, 8, and 3, then what is the difference in the experimental probability from the simulation and the prediction?
Answer:
There is a difference of 10%
Step-by-step explanation:
In this situation, the theoretical probability, the probability of something based on logic, is 10%. This means that if the spinner was spun 10 times it would land on 1 once. However, the experimental probability, the probability determined by the results of an experiment, is 20%. This number can be found by finding how many times the spinner actually landed on 1. Out of 5 spins, the spinner landed on 1 once. So the experimental probability is 1/5, which is equal to 20%. Therefore, there is a 10% difference in the prediction and simulation.
5. The average age of men at the time of their first marriage is 24.8 years. Suppose the
standard deviation is 2.8 years. Forty-nine married males are selected at random and asked the
age at which they were first married. Find the probability that the sample mean will be more than 26.
Answer:
0.0013 = 0.13% probability that the sample mean will be more than 26.
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 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.
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.
The average age of men at the time of their first marriage is 24.8 years. Suppose the standard deviation is 2.8 years.
This means that [tex]\mu = 24.8, \sigma = 2.8[/tex]
Forty-nine married males are selected at random and asked the age at which they were first married.
This means that [tex]n = 49, s = \frac{2.8}{\sqrt{49}} = 0.4[/tex]
Find the probability that the sample mean will be more than 26.
This is 1 subtracted by the pvalue of Z when X = 26. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{26 - 24.8}{0.4}[/tex]
[tex]Z = 3[/tex]
[tex]Z = 3[/tex] has a pvalue of 0.9987
1 - 0.9987 = 0.0013
0.0013 = 0.13% probability that the sample mean will be more than 26.
The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed continuously and normally. The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915. The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.
a) Determine the value for the mean (u) of the associated distribution
b) Determine the value for the standard deviation (o) of the associated distribution.
Answer:
a) The mean is [tex]\mu = 60[/tex]
b) The standard deviation is [tex]\sigma = 9[/tex]
Step-by-step explanation:
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 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.
The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.
This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when [tex]X = 55.5, Z = -0.5[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.5 = \frac{55.5 - \mu}{\sigma}[/tex]
[tex]-0.5\sigma = 55.5 - \mu[/tex]
[tex]\mu = 55.5 + 0.5\sigma[/tex]
The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.
This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when [tex]X = 71.52, Z = 1.28[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{71.52 - \mu}{\sigma}[/tex]
[tex]1.28\sigma = 71.52 - \mu[/tex]
[tex]\mu = 71.52 - 1.28\sigma[/tex]
Since we also have that [tex]\mu = 55.5 + 0.5\sigma[/tex]
[tex]55.5 + 0.5\sigma = 71.52 - 1.28\sigma[/tex]
[tex]1.78\sigma = 71.52 - 55.5[/tex]
[tex]\sigma = \frac{(71.52 - 55.5)}{1.78}[/tex]
[tex]\sigma = 9[/tex]
[tex]\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60[/tex]
Question
The mean is [tex]\mu = 60[/tex]
The standard deviation is [tex]\sigma = 9[/tex]
Two pizza delivery drivers compared the mean numbers of deliveries they completed in one day.
Answer:
The mean number of deliveries for driver A is less then the mean for driver B by 3 MADs.
Answer:
CAN SOMEONE REMOVE THIS ANSWER.
In triangle ABC, ∠A=120°, a=3, and b=2. Find angle ∠C to the nearest degree.
Answer:
Step-by-step explanation:
Use Law of Sines to find ∠B.
∠B = arcsin(b·sinA/a) ≅ 35°
∠C = 180°-∠A-∠B = 25°
Salma has 8 bottles of PEPSI which contain 13 litres in total. To get 18.5 litres of PEPSI, how many bottles she should have?
Answer:
!2 bottles
Step-by-step explanation:
Given
[tex]8\ bottles = 13\ litre \\[/tex]
Required:
Number of bottles for 18.5 liters
Represent this with x.
So:
[tex]8\ bottles = 13\ litre[/tex]
[tex]x = 18.5\ litre[/tex]
Cross Multiply
[tex]x * 13 = 8\ bottles * 18.5[/tex]
[tex]x * 13 = 148\ bottles[/tex]
[tex]x = \frac{148}{13}\ bottles[/tex]
[tex]x = 11.4\ bottles[/tex]
Hence, she needs 12 bottles
These are the answers.
But reasons are not given.
Answer:
Looks like the book has fixed RHS while I have fixed LHS.
A manufacturer makes marbles out of glass, like the diagram shown. each marble must have a radius of 1.25 cm to pass quality control.
What is the volume of glass needed to make each marble, in cubic centimeters? Use 3. 14 for symbol and tecall that for spheres.
Answer:
7.85 is your answer I do believe
Answer:
THE ANSWER IS 6.54
Step-by-step explanation:
Pleaseee brainliest
Answer:
2√2
Step-by-step explanation:
Answer:
uhhh ok im not 100% sure but i think its
Step-by-step explanation:
4 Select the correct answer. Solve the system of equations. y= 4x + 5 y = x2 + 12x + 20
A. (-3,-7) (-5,-15)
B. (-3,-17) and (-5,-25) )
C. (-3,-15) and (-5,-7)
D. (3,17) and (5,-15)
need help asap pls
Answer: y= 4x + 5 y = x2 + 12x + 20 = y=4 x=0
Step-by-step explanation:
A=1 20
B= 440
C= 120
D= -240
Answer:
B) (-3,-17) and (-5,-25)
Step-by-step explanation:
Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months. A random sample of children will be selected, and the age at which each child begins to walk will be recorded. A 99% confidence interval for the average age at which children begin to walk will be constructed using the data obtained from the sample of children. Of the following, which is the smallest sample size that will result in a margin of error of 0.1 month or less for the confidence interval?
a. 400.
b. 900.
c. 1,300.
d. 1,600.
e. 2,100.
Answer:
d. 1,600.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months.
This means that [tex]\sigma = 1.5[/tex]
Of the following, which is the smallest sample size that will result in a margin of error of 0.1 month or less for the confidence interval?
The sample size has to be n or larger. n is found when [tex]M = 0.1[/tex]. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.1 = 2.575\frac{1.5}{\sqrt{n}}[/tex]
[tex]0.1\sqrt{n} = 2.575*1.5[/tex]
Multiplying both sides by 10
[tex]\sqrt{n} = 2.575*15[/tex]
[tex](\sqrt{n})^2 = (2.575*15)^2[/tex]
[tex]n = 1492[/tex]
So the sample size has to be at least 1492, which means that of the possible options, the smallest sample size is 1600, given by option d.
The sample size should be at least 1492, So the possible options, the smallest sample size is 1600, option D is the correct answer
Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months. A random sample of children will be selected, and the age at which each child begins to walk will be recorded. A 99% confidence interval for the average age at which children begin to walk will be constructed.
What is the margin of error?
The margin of error tells you how many percentages points your results will differ from the real population value.
[tex]M=z\frac{\sigma}{\sqrt{n} }[/tex]
We need to find our α level, that is the subtraction from 1 by the confidence interval for the average age divided by 2.
[tex]\alpha = \frac{1-0.99}{2}\\ =0.005[/tex]
Now, we need to find z which is 1-α
[tex]1-\alpha \\=1-0.005\\\rm z=2.575[/tex]
The margin of error M
[tex]M=z\frac{\sigma}{\sqrt{n} }[/tex]
Here, [tex]\sigma[/tex] is the standard deviation of the population.
n is the size of the sample.
So,
[tex]\rm M=z\frac{\sigma}{\sqrt{n} } \\\rm0.1=2.575\frac{1.5}{\sqrt{n} } \\\rm0.1\times\sqrt{n} =2.575\times{1.5}\\\rm\sqrt{n} =2.575\times{1.5}\\\rm(\sqrt{n} )^{2} =(2.575\times{1.5})^{2} \\\rm n=1492[/tex]
Hence, the sample size should be at least 1492, So the possible options, the smallest sample size is 1600, option D is the correct answer.
Learn more about the margin of error here:
https://brainly.com/question/6979326