Answer:
Z-scores between -0.86 and 0.86 separate the middle 61% of the distribution from the area in the tails of the standard normal distribution
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 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.
Middle 61%
Between the 50 - (61/2) = 19.5th percentile and the 50 + (61/2) = 80.5th percentile.
19.5th percentile.
Z with a pvalue of 0.195. So Z = -0.86
80.5th percentile.
Z with a pvalue of 0.805. So Z = 0.86.
Z-scores between -0.86 and 0.86 separate the middle 61% of the distribution from the area in the tails of the standard normal distribution
Vending machines can be adjusted to reject coins above and below certain weights. The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram. If a vending machine is adjusted to reject quarters that weigh more than 5.81 grams and less than 5.53 grams, what percentage of legal quarters will be rejected by the vending machine
Answer: The percentage of legal quarters will be rejected by the vending machine = 2.275%
Step-by-step explanation:
Given: The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram.
Let x be the weights of legal U.S. quarters .
Required probability: [tex]P(x<5.53)+P(x>5.81)[/tex]
[tex]=P(\dfrac{x-\mu}{\sigma}<\dfrac{5.33-5.67}{0.07})+P(\dfrac{x-\mu}{\sigma}>\dfrac{5.81-5.67}{0.07})\\\\=P(z<-4.857)+P(z>2)\approx0.02275 \ \ \ [By\ P-value\ calculator][/tex]
The percentage of legal quarters will be rejected by the vending machine = 2.275%
Help due 30 mins....
write an ordered pair corresponding to the point
Answer:
(-3,-1)
Step-by-step explanation:
go back 3 for x
and down 1 for y
Read the description of a proportional relationship.
Ezra is finding the perimeter of different-sized regular pentagons. There is a proportional relationship between the side length of the regular pentagon in inches, x, and the perimeter of the regular pentagon in inches, y.
A regular pentagon with 1-inch side lengths has a perimeter of 5 inches. Write the equation for the relationship between x and y.
y=
Answer:
Step-by-step explanation:
The answer is 15
the equation for the relationship between x and y is,
y = 5x
What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.
Perimeter refers to the total outside length of an object,
The equation given in the problem is
y = 5x
where
the side length of the regular pentagon in inches, x,
the perimeter of the regular pentagon in inches, y
Hence, the equation for the relationship between x and y is,
y = 5x
Learn more about perimeter here:
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#SPJ2
I'm ABC, the measure of
Answer: D,E,F,G
It's self explanitory
Answer:
I would say an angle.
Step-by-step explanation:
1.what is the place value of 3 in 17.32
2.write as decimal 6+4/10
Answer:
1. Tenth.
2. 6+ 0.4=6.4.
A quiz has 5 true-false questions and 3 multiple choice questions with 4 options each. How many possible ways are there to answer the 8 questions?
a.
48
c.
4024
b.
2024
d.
2048
Answer:
The correct answer is D
Step-by-step explanation:
the dude above me made a small typo, but they are right
The picture is my proof
have a nice day! :)
Given the following equations, determine the relationship of the lines they represent: y = 5 and x = 6 .
Answer:
The answer is perpendicular :]
Step-by-step explanation:
wont waste your time
Estimate 85.77-62.396 by first rounding each number to the nearest whole number
Answer:
24
Step-by-step explanation:
85.77-62.396 estimated by rounding each number to the nearest whole number is 24. I got this by first rounding 85.77 to 86. I then rounded 62.396 to 62. Next, I did 86-62= 24.
So, the answer is 24.
Answer:
23.000
Step-by-step explanation:
8-6=2
5-2=3
So you know that 23.000 is the roaded answer, you can just ignore the digits behind the decimal point in order to round
Two similar prisms have surface areas of 9
cm² and 16 cm ²?. Find the ratio of their
volumes.
Answer:
Simplified ratio is 9:16
Step-by-step explanation:
Solve for c: 60= 15c
Answer:
c=4
Step-by-step explanation:
Answer:
C=4.
Step-by-step explanation:
You divide 15c and 60 by 15 getting you c=4.
Please help.
You will get brainliest.
Answer:
a
Step-by-step explanation:
What is the m
Need help please!
9514 1404 393
Answer:
27
Step-by-step explanation:
The measure of an inscribed angle is half the measure of the arc it subtends.
∠P = (RT)/2
∠P = 54/2
∠P = 27
In each of the following scenarios, determine if the data are paired.
1. We would like to know if Intel's stock and Southwest Airlines' stock have similar rates of return. To find out, we take a random sample of 50 days for Intel's stock and another random sample of 50 days for Southwest's stock.
a. Paired
b. Not Paired
2. We randomly sample 50 items from Target stores and note the price for each. Then we visit Walmart and collect the price for each of those same 50 items.
a. Paired
b. Not Paired
3. A school board would like to determine whether there is a difference in average SAT scores for students at one high school versus another high school in the district. To check, they take a simple random sample of 100 students from each high school.
a. Paired
b. Not Paired
Answer:
1. Can be Paired or Not Paired
2. Paired
3. Not Paired
Step-by-step explanation:
Two sets of observations are paired if each observation in one set has a special correspondence or connection with exactly one observation in the other data set.
1. Can be Paired or Not paired
Reason -
We might look at testing the difference of means using a two sample t-test. However, we may also try running a paired t-test.
But its used in cases where the observations are usually from the same populations at different times or through different sources etc.
Hence can't conclude that it is paired or not paired.
2. Paired
Reason -
Each record is a price of the same item from different stores.
3. Not paired
Reason -
This is again a case of testing the difference of means of two-samples (2 independent samples precisely) that are not paired.
1. Can't conclude paired or not paired
2. Paired
3. Not Paired
What do you mean by paired or unpaired?Two sets of observations are said to be paired if each observation in one data set has a specific connection with exactly one observation in the other data set otherwise it is unpaired.
1. Can't conclude paired or not paired because It may look at testing the difference of means using a two-sample test, But it's used in cases where the observations are from the same populations at different times or through various sources, etc.
2. Paired because each item is the price of the same item from different stores.
3. Not paired because in this case of testing the difference of means of two independent samples that are not paired.
Learn more about paired and unpaired:
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star time 8:00 a.m elapsed time 5 hours, 15 minutos end time is
Answer:
1:15 P.M
Step-by-step explanation:
After 5 hours if will be 1:00 P.M and 25 minutes after it turns 1:00 P.M will be 1:15 P.M
Answer:
1 : 15p.m
Step-by-step explanation:
Solve and graph 4<-1/3n
Answer:
n<-12
Step-by-step explanation:
4<-1/3n
4<-n/3
4×3<-n
12<-n
-12<n
n<-12
Please help I’ll mark you as brainliest if correct
Answer:
Y= 250x+45
Step-by-step explanation:
answer = 250 per hour (X) + 45
Find the area of the composite figure.
Round to the nearest hundredth.
(10 Points)
20.9m
14.3m
22.7 m
Answer:
474.43 m²
Step-by-step explanation:
The shape is composed of a rectangle and a parallelogram
Area of the composite shape = area of the rectangle + area of the parallelogram
= Length*Width + base*height
Where,
Length = 20.9 m
Width = 14.3 m
base = 20.9 m
height = 22.7 - 14.3 = 8.4 m
Area = 20.9*14.3 + 20.9*8.4
Area = 298.87 + 175.56
= 474.43 m²
Which of the following equations will produce the graph shown below?
Answer:
C
Step-by-step explanation:
don't ask why, i used the goegebra app, and wrote each one in it
the model below is shaded to represent an expression. which expression represents the model? PLS HELPPPPP
Answer:C
Step-by-step explanation:
The expression that most adequately expresses the model would be:
C). 3 × 2/5
What is a fraction?A fraction is described as an expression employed to denote a segment or section belonging to a larger whole.
In the given question, it can be observed that the model contains 10 parts in total with a division of 5 each into 2 parts.
Since the division of 2 is made thrice, it gives 3 × 2/5 which makes the third option the correct one.
Thus, option C is the correct answer.
Learn more about "Expression" here:
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PLS HELP I NEED THIS BY TOMORROW
Rearrange the parts of the parallelogram to form a rectangle. Find the area of the parallelogram and the area of the rectangle. How are the areas related?
Make a copy of the trapezoid to form a parallelogram. Find the area of the trapezoid and the area of the parallelogram. How are the two areas related?
When we do this, the base of the parallelogram has length b 1 + b 2, and the height is the same as the trapezoids, so the area of the parallelogram is (b 1 + b 2)*h. Since the two trapezoids of the same size created this parallelogram, the area of one of those trapezoids is one half the area of the parallelogram
10. Clifford Waxman purchased a snowmobile for $3,467. He made a 35 percent down payment and financed the
remainder. What amount did he finance?
$2,521.00
c. $2,345.44
b. $2,253.55
d. $2,433.11.
a.
Answer:
$3467 - $1213.45 (35%)
B
Ringo deposited some money into a savings account. He earned 4% interest. After 6 months he earned $21 in interest. How much money did he start with?
I NEED HELP PLEASE!!
Answer:
$1050
Step-by-step explanation:
I = PRT / 100
I = 21
P = ?
R = 4%
T = 6 months = 0.5 yr
P = 100I / RT
P = (100 * 21) / (4 * 0.5)
P = $1050
It takes at 45 minutes to complete his science homework. It takes him 2/3 as long to complete his math homework. How long does it take add to complete his math homework?
Answer:
30 minutes
Step-by-step explanation:
45 = 15 +15 +15 (3 parts of 15)
2 parts of 15 = 30
Name
Austin - 4-12-21
Whole Numbers and Fractions
In 1-6, write an equivalent fraction for each whole number,
1. 6
2. 8
3. 4
4. 3
5. 1
Each one is just that whole number over one.
For instance for the number 7 it would be 7/1.
Hope this helps!
Three people take 2 1⁄2( two and a half ) hours to deliver leaflets to 270 houses
Assuming all people deliver leaflets at the same rate, how long will it take five people to deliver leaflets to 450 houses?
Give your answer in hours and minutes
9514 1404 393
Answer:
2 hours 30 minutes
Step-by-step explanation:
Effort is measured in people-hours per house. Here, the effort to deliver one leaflet is ...
(3 people)(2.5 hours)/(270 houses) = 1/36 people-hours/house
Then the number of hours (h) for 5 people and 450 houses is ...
(5 people)(h hours)/(450 houses) = 1/36 people-hours/house
h = (1/36)(450/5) = 2.5
It will take 2 hours 30 minutes to deliver to 450 houses.
_____
Alternate solution
The time is (assumed) inversely proportional to the number of people, so increasing the number of people from 3 to 5 multiplies the time by 3/5. The time is proportional to the number of houses, so increasing the number of houses from 270 to 450 multiplies the time by 450/270 = 5/3. The time for the second task is (3/5)(5/3) = 1 times the time for the first task.
2 1/2 hours is 2 hours 30 minutes.
What is the area of this figure?
Answer: C
Step-by-step explanation:
triangle: [(4 1/2) x 5] / 2
11.25
semicircle: (5/2)^2 x 3.14
(2.5^2 x 3.14) / 2
(6.25 x 3.14) / 2
19.625 / 2
9.8125
add them together:
9.8125 + 11.25 = 21.0625
rounded: 21.1
Solve the equation for all real solutions in simplest form.
-3w^2-10w+1=\,\,-4w^2−4w 2
Here is the answer. Let me know if you need any clarification!
Can you help me thanks!
Answer:
multiply
Step-by-step explanation:
You have to multiply.
Example:
[tex] {5}^{2} [/tex]
You have to multiply 5x5 because it says
[tex] {5}^{2} [/tex]
Can somebody please help me!!!!!
Answer:
Varies
Step-by-step explanation:
What this question is asking you to do is to measure the angle of the blue dot and find the 90 degree angle, so you need to get a protractor and measure the 90 degree angle in order to get the answer
Answer:
Step-by-step explanation:
