Answer:
The probability that the sample average will be between $30.00 and $31.00 is 0.6553.
Step-by-step explanation:
Let X represent the hourly wage for Switzerland.
It is provided that the mean hourly wage for Switzerland was $30.67 and the standard deviation of hourly labor rates is $3.00.
A random sample of 36 manufacturing workers are selected randomly from across Switzerland and asked what their hourly wage.
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
As n = 36 > 30, Central limit theorem is applicable.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu=30.67[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{36}}=0.50[/tex]
Compute the probability that the sample average will be between $30.00 and $31.00 as follows:
[tex]P(30<\bar X<31)=P(\frac{30-30.67}{0.50}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{31-30.67}{0.50})[/tex]
[tex]=P(-1.34<Z<0.66)\\\\=P(Z<0.66)-P(Z<-1.34)\\\\=0.74537-0.09012\\\\=0.65525\\\\\approx 0.6553[/tex]
Thus, the probability that the sample average will be between $30.00 and $31.00 is 0.6553.
​(a) The shape of the sampling distribution of the sample mean is approximately normal. Is this true or​ false?
Answer:
Shape of sampling distribution of sample mean being approx normal or not depends upon sample size.
Step-by-step explanation:
'The shape of the sampling distribution of the sample mean is approximately normal' might be true or false, depending on sample size.
If the sample size satisfies the condition of being sufficiently large, the shape of sampling distribution of sample mean becomes more bell shaped normally distributed (even more normally distributed than actual population).
Central Limit theorem also states this - Larger the sample size, shape of sampling distribution of sample mean becomes more normally distributed around population mean.
PLEASE SAVE MY LIFE!
Answer:
13r/4
Step-by-step explanation:
aha i looked it up xD
The explanation is you have to put the whole number over its self.Then they have to have common denominator.Then add
Alison has $400 saved and gets $15 per week for her allowance. If she saves
her allowance for the next 6 weeks, and then spends $80 on a scooter, how
much money will she have after the 6 weeks?
Which of the following sets of equations represents this problem?
Answer:
$410
Step-by-step explanation:
15*6=90
90-80=10
400+10=410
$410
I triangle ABC is dilated by a scale factor of 3 with a center of (2.1). what is the location of A?
help 9th grade algebra!!
Answer:
16 gallons
Step-by-step explanation:
195= 12x-3
What's the value of 16-2t=5t+9
Step-by-step explanation:
16-9=5t+2t
7=7t
t=1
The answer is 1
Answer:
t=1
Step-by-step explanation:
16-2t=5t+9
+2t +2t
16=7t+9
-9 -9
7=7t
t=1
Victor runs 3 laps around the track every 5 minutes. Complete the table to show the relationship between the number of laps and time spent running. write your answers in the blanks.
Answer: hopefully this helps
Step-by-step explanation:
In 1 minute Victor runs 3/5 laps and in 6 minutes Victor runs 3.6 laps.
Given that, Victor runs 3 laps around the track every 5 minutes.
What is proportion?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Now, 3/5 = x/1
⇒ x= 3/5 laps
Here, [tex]1\frac{1}{5} =1.2[/tex]
3/5 = 1.2/y
⇒ 3y=6
⇒ y=2 minutes
3/5 = z/6
⇒ 18=5z
⇒ z=18/5
⇒ z=3.6 laps
Therefore, in 1 minute Victor runs 3/5 laps and in 6 minutes Victor runs 3.6 laps.
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8 - 9(9n + 2) = 2(-5 + 11n)
Answer:
-103n = 0
Step-by-step explanation:
Watch my following steps:
8 - 81n - 18 = -10 + 22n
8 - 81n - 22n = -10 + 18
-81n - 22n = 8 - 8
-103n = 0
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consider a cubic polynomial function g(x) with solutions x = 3 and x =2 -i. what statement must be true?
x = 3 would be your answer
because i have no clue just thanks and five stars please
What’s the intercepts
Answer:
X-
(7/6,0)
y-
(0,-7/3)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s):
(7/6,0)
y-intercept(s):
(0,−7/3)
What is 6.804 rounded to the nearest hundreth
Answer:
6.8
Step-by-step explanation:
If the probability (p-value) is smaller than 05 (alpha level) then we can conclude that the means are
different and our study is significant.
True
False
1. Which function is best represented by this graph?
Step-by-step explanation:
the answer is y=1/4 ×-2
FOLLOW ME ☺️I HOPE IT HELPwhat is 4,500 divided by 64 as a decimal ?
I have 2 Apples that way at least 0.33 pounds, I gained 2 from my mom and dad and I gave 2 to my friends, how much do my remaining apples weight
Answer:
0.33
Step-by-step explanation:
Because you have 2 apples that weigh 0.33 pounds you gain 2 from your parents then give 2 to your friends so you have 2 left or....0.33 pound left.
Hope this helps☺️
12/x = 10/12
Solve problem to the nearest tenth
Scores on a common final exam are normally distributed with mean 71 and standard deviation 9. Department policy is that the top 10% of students receive an A. The minimum exam score to be awarded an A is about:
Answer:
The minimum exam score to be awarded an A is about 8.52.
Step-by-step explanation:
Let X represent the scores on a common final exam.
It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.
It is provided that according to the department policy is that the top 10% of students receive an A.
That is, P (X > x) = 0.10.
⇒ P (X < x) = 0.90
⇒ P (Z < z) = 0.90
The corresponding z-score is:
z = 1.28
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52[/tex]
Thus, the minimum exam score to be awarded an A is about 8.52.
.
Expressions that are used so much that people get tired of hearing them are called:
cliches
idioms
similes
metaphors
Answer:
i would go with cliches cuz i know what all the others are
Step-by-step explanation:
Answer:
cliches
Step-by-step explanation:
Zarika earns the same amount each week by walking her neighbor's dogs. When she started this job, she had $300 in her savings account.
The table shows Zarika's savings account balance for her first month of work.
Week 0 1 2 3 4
Balance $300 $550 $800 $1050 $1300
Let x represent the number of weeks Zarika has been working and let y represent Zarika's account balance.
Which equation, expressed in Slope-Intercept Form, represents the amount of money in Zarika's bank account over time?
y=250x+300
y=300x+250
y=300x−250
y=250x−300
Answer:
y=250x+300
Step-by-step explanation:
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The amount of money in Zarika's bank account over time after x weeks is represented by the equation.
y = 250x + 300
Option A is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 4 is an equation.
We have,
Amount earned each week = same.
Amount in her account = $300.
Number of weeks = x
Amount in the account = y
The equation represents the account balance after x weeks.
Total amount = $300 + Amount earned per week
This can be written as,
y = 250x + 300
Thus,
The amount of money in Zarika's bank account over time after x weeks is represented by the equation.
y = 250x + 300
Option A is the correct answer.
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1. You plan to drive to a resort that is 399 miles away. Your car presently gets 28 miles per gallon. How many
gallons of gas will it take you to get to the resort?
Answer: 399÷28= 14.25
Step-by-step explanation:
Divide 399 by 28 = 14.25 gal
Which expression would be easier to simplify if you used the associative property to change the grouping? O A. (27 + 4.5) + 1.5 OB. ++(-) O C. - + [(-) + (-) O D. 14+ (20 + 80)
Answer:
the answer is D
Step-by-step explanation:
Answer:
The answer is D if you look hard enough and think hard enough you will find the answer as well
What is 10^6 ÷ 10^4.
Answer:
[tex]10^{2}[/tex]
Step-by-step explanation:
[tex]10^{6} /10^{4}[/tex]
=> [tex]10^{2}[/tex]
Proof,
10 * 10 * 10 * 10 * 10 * 10 / 10 * 10 * 10 * 10
4 ten's cancel each other, leaving behind 2 ten's, and,
10 * 10 is the same thing as [tex]10^{2}[/tex]
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Alison has $400 saved and gets $15 per week for her allowance. If she saves
her allowance for the next 6 weeks, and then spends $80 on a scooter, how
much money will she have after the 6 weeks?
Which of the following sets of equations represents this problem?
Answer:
77
Step-by-step explanation:
dont use that
You have a 2-pound carton of blueberries. You eat 0.2 of the carton on Monday and 0.35 of the carton on Tuesday. How many pounds of blueberries are left?
0.9 pounds of blueberries are left.
Percentage:
The Latin word "per centum," which meaning "by the hundred," was the source of the English word "percentage." Fractions with a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.
What is percentages ?
A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.
Calculation of Percentage:
Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. A percentage can be found in one of two ways:
By using the unitary method.
By changing the denominator of the fraction to 100.
It should be noted that when the denominator is not a factor of 100, the second technique of percentage calculation is not applied. In these situations, we employ the unitary technique.
Based on the given conditions, formulate: 2 x (1- 0.35- 0.2)
Calculate the sum or difference: 2 x ( 0.65 - 0.2)
Calculate the sum or difference: 2 x 0.45
Calculate the product or quotient: 0.9
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factor this expression completey -3x - 12
Answer:
-3(x+4)
Step-by-step explanation:
you just factor out -3
Answer: -3(x+4)
Step-by-step explanation:
Hii, do you need to factor -3x-12? No problem!
Note that -3x and -12 have a -3 in common, so we can factor it out by dividing both -3x and -12 by -3.
x+4 (A negative number divided by a negative number gives us a positive result)
Next, we put parentheses around x+4
(x+4)
Now we put -3 outside these parentheses
-3(x+4)
Voila! There's our solution, cheers!
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Hope that this helped! Best wishes.
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A shirt is discounted by 40%. The discounted prices is $72. What was the original price of the shirt? PLEASE HELP!!
Answer:
120
Step-by-step explanation:
A(n) ________ hypothesis is a statistical hypothesis that is tested for possible rejection under the assumption that it is true. g
Answer: A null hypothesis is a statistical hypothesis that is tested for possible rejection under the assumption that it is true.
Step-by-step explanation:
The null hypothesis[tex](H_0)[/tex] and alternative hypothesis[tex](H_a)[/tex] both are statements as per the researcher's claim that involves population parameter .
Null hypothesis has ≤,≥ ,= signs
Alternative hypotheses has < , > , ≠ signs.
A null hypothesis is a statistical hypothesis that is tested for possible rejection under the assumption that it is true.
Helpppppp meeee if you know precal
Step-by-step explanation:
LHS= csc^2 θ . tan^2 θ - 1
= (1/Sin^2 θ). (Sin^2 θ / cos^2 θ) - 1
= 1/cos^2 θ - 1
= (1 - cos^2 θ) / cos^2 θ
= sin^2 θ / cos^2 θ
= tan^2 θ
= RHS
Hence proved
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What does kimfrelcastro3kimfre mean?
What is the quotient of 3/5 divided by 2/7
Answer:
21/10
Step-by-step explanation:
Answer:
It is 1/2
Step-by-step explanation:
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