Answer:
0.01047
Step-by-step explanation:
Answer:
7640/80=95.5 or 80/7640=0.01047120418
Step-by-step explanation:
I used a calculator.
Martin has read 10 percent of a book he has 54 more page to finish how many pages are in the book
Step-by-step explanation:
If he read 10 % , then he has 90 % to go...and this 90% is 54 pages
x = number of pages in book
90% * x = 54
.90x = 54
x = 54/.90 = 60 pages in book
an 80 confidence interval for is found to be (200, 240). what is the margin of error
Answer:
It’s 20
Step-by-step explanation:
The margin of error for an 80% confidence interval found to be (200, 240) is: 20.
What is Confidence Interval?Confidence interval lies between the lower bound and upper bound and it is symmetric. The mean of the upper and lower bounds is the margin of error.
Given an 80% confidence interval with the bound (200, 240):
Margin of error = (240 - 200)/2
Margin of error = 20
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alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. how many calories are in one cookie?
Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.
A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.
Let x = calories in cookies.
y = calories in carrots.
Now, according to the question:
5x + 2y = 590 --------------------------------------- (1)
3x + 4y = 410 -------------------------------------- (2)
Multiplying equation(1) by 3 and equation(2) by 5:
15x + 6y = 1770 ---------------------------(3)
15x + 20y = 2050 ---------------------------(4)
Solving we get:
y = 280/14
or, y = 20 units.
Putting the value of y = 20 in equation (2)
3x + 4y = 410
⇒ 3x + 4 × 20 = 410
⇒ 3x = 410 - 80
⇒ x = 330/3
⇒ x = 110 Units
Therefore, the calories of cookies is 110 units .
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What is the probability that a randomly selected day from 2013 will have fewer than 2,740,000 group trades?
The probability that a randomly selected day will have a group trades total within 85,000 of the mean is 0.1328.
What is the probability about?
In the question given, the Mean (u) is said to be = 3421439
Therefore since Standard deviation = 508638.08
Note that:
z = x-u/sd
So:
P(u - 85000 <= x <= u + 85000)
u = 3421439
We insert the formula into the equation and it will be
= P(3421439 - 85000, 3421439 + 85000)
= P(3336439, 3506439)
= (3336439 - 3421439) / 508638.08, 3506439-3421439) / 508638.08)
= prob(-0.1671 and 0.1671 (So check the column under the z table)
So:
= 0.5664 - 0.4336
= 0.1328
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WILL GIVE 50 POINTS PLEASE HELP
Which gives the correct values for points A, B, C, and D?
A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Point A is at negative 2. Point B is 1 mark to the right of negative 2. Point C is 1 mark to the left negative 1. Point D is 1 mark to the left of 0.
A = negative 2, B = negative 1 and three-fourths, C = negative 1 and one-fourth, D = negative one-fourth
A = negative one-fourth, B = negative 1 and three-fourths, C = negative 1 and one-fourth, D = negative 2
A = negative 2, B = negative three-fourths, C = negative one-fourth, D = one-fourth
A = negative one-fourth, B = negative 1 and one-fourth, C = negative 1 and three-fourths, D = negative 2
Answer:
The correct values for points A, B, C, and D on a number line going from negative 2 to positive 2 in increments of 1 are:
A = negative 2
B = negative 3/4
C = negative 1/4
D = 1/4
This can be determined by noting that each mark on the number line represents a distance of 1/4, and by counting the number of marks to the right or left of the given points. For example, point B is 1 mark to the right of negative 2, which means it is located at negative 2 + 1/4 = negative 3/4. Similarly, point C is 1 mark to the left of negative 1, which means it is located at negative 1 - 1/4 = negative 1/4. The other points can be determined in the same way.
Step-by-step explanation:
Answer:
It is A the 1st one
Step-by-step explanation:
A = negative 2, B = negative 1 and three-fourths, C = negative 1 and one-fourth, D = negative one-fourth
In a binomial situation, n=18 and π=0.60. Determine the standard
deviation*
Answer:
Use colon method
Step-by-step explanation:
So it is more easy
Can someone help me with this pleaseee…….
The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.
We have,
To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:
Distance Formula:
If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:
d = √((x2 - x1)² + (y2 - y1)²)
Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:
AB = √((4 - (-5))² + (5 - 5)²) = 9
BC = √((2 - 4)² + (0 - 5)²) = √(29)
CD = √((-5 - 2)² + (-2 - 0)²) = √(74)
DA = √((-5 - (-5))² + (5 - (-2))²) = 7
Therefore,
The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.
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Clue #8
In a group of middle school students:
.
●
●
.
21 students play tennis
16 students play soccer
19 students play volleyball
3 students play soccer & tennis
5 students play volleyball & tennis
4 students play volleyball & soccer
1 student plays all 3 sports
13 students do not play volleyball, tennis,
or soccer
Based on this information, what values are
missing from the Venn diagram shown?
Soccer
X
3
2
1
Z
Volleyball
Tennis
4
y
W
Step-by-step explanation:
To determine the missing values in the Venn diagram, we can use the information from the problem to set up a system of equations. Let's assign variables to each section of the diagram:
X = number of students who play tennis only
Y = number of students who play soccer only
Z = number of students who play volleyball only
W = number of students who play tennis and soccer only
y = number of students who play tennis and volleyball only
Using the information from the problem, we can set up the following equations:
X + W + 3 = 21 (21 students play tennis)
Y + W + 4 = 16 (16 students play soccer)
Z + y + 5 = 19 (19 students play volleyball)
W + 3 = 3 (3 students play soccer and tennis)
y + 5 = 5 (5 students play volleyball and tennis)
Solving for one variable in terms of the others, we can substitute into the other equations:
X = 21 - W - 3
Y = 16 - W - 4
Z = 19 - y - 5
Substituting into the equation for W, we find:
W + 3 = 3
W = 0
Substituting W = 0 into the equations for X and Y:
X = 21 - 0 - 3 = 18
Y = 16 - 0 - 4 = 12
Finally, we can substitute X, Y, and W into the equation for Z to find:
Z = 19 - y - 5
Z = 19 - 5 - 5 = 9
So the missing values in the Venn diagram are:
Soccer: 12 students
Volleyball: 9 students
Tennis: 18 students
Soccer & Tennis: 0 students
Volleyball & Tennis: 5 students
Volleyball & Soccer: 4 students
Note that the number of students who play none of the three sports is not explicitly stated in the problem, but it can be calculated as:
13 = total number of students - (X + Y + Z + W + y)
13 = total number of students - (18 + 12 + 9 + 0 + 5)
13 = total number of students - 44
So there are 57 total middle school students
Michael drove to the mountains last weekend. There was heavy traffic on the way there at the trip took six hours. When Michael drove home there was no traffic and the trip only took four hours. If his average rate was 22 mph faster on the trip home how far away does Michael live from the mountains?
If his average rate was 22 mph faster on the trip home, then Michael lives 132 miles away from the mountains.
Let's assume that the distance from Michael's home to the mountains is "d" miles. We can now use the formula for average rate to set up two equations, one for the trip to the mountains and one for the trip back home.
For the trip to the mountains, we have:
d = Average Rate (on the way to the mountains) x 6 hours
For the trip back home, we have:
d = Average Rate (on the way back home) x 4 hours
We are also given that Michael's average rate on the trip back home was 22 mph faster than his average rate on the trip to the mountains. We can represent this as:
Average Rate (on the way back home) = Average Rate (on the way to the mountains) + 22 mph
First, we can rearrange the equation for the trip to the mountains to solve for the average rate on the way to the mountains:
Average Rate (on the way to the mountains) = d / 6 hours
Substituting this into the equation for the trip back home, we get:
d = (d / 6) x 4 + (d / 6 + 22) x 4
Simplifying this equation, we get:
d = (2d / 3) + (d / 3 + 11) x 4
d = (2d / 3) + (4d / 3 + 44)
Multiplying through by 3, we get:
3d = 2d + 4d + 132
Simplifying this equation, we get:
d = 132 miles
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Three fourths of a class brought bundles of old papers to school. If 40 students were in class, how many students brought papers?
Answer:
300 students
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
30 students brought papers.
What is fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
Given
3/4 th of 40 brought papers
students brought paper = 3/4 *40 = 3*10 = 30
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Please help me with this question...please
Answer:phone A
Step-by-step explanation:
phone A is the cheapest
Choose the inequality whose solution set is represented by this graph.
The correct option is option A , such that inequality is x - 3y < 5.
What are the inequalities ?
Inequalities are the expressions in which both sides are not equal and the equal sign in between is replaced by less than , greater than, etc.
We know that the slope intercept form of equation is given by y = mx + c , where m is the slope and c is the y - intercept.
In the graph , the upward sloping line has x and y intercepts of 5 and -3.
So its equation in slope intercept form is given by ,
- 3y = - x + 5
And the inequality with that boundary line is given by ,
- 3y < - x + 5
or
x - 3y < 5
Therefore , the inequality represented by graph is x - 3y < 5 or option A is correct.
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In a triangle the ratio of angles is 2:3:4 find the angles
Answer:
40,60,80
Step-by-step explanation:
2x+3x×4x=180
9x=180
x=20
2x=40
3x=60
4x=80
Aaron starts riding a bike at a rate of 3 mi/h on a road toward a store 20 mi away. Zhang leaves the store when aaron starts riding his bike, and he rides his bike toward aaron along the same road at 2 mi/h. How many hours will pass before they meet?.
2 hours will pass before they meet.
"Information available from the question"
In the question:
Aaron starts riding a bike at a rate of 3 mi/h on a road toward a store 20 mi away.
Zhang leaves the store when Aaron starts riding his bike, and he rides his bike toward Aaron along the same road at 2 mi/h.
Now, According to the question:
Total distance = 20mi
Aaron starts riding a bike at a rate of = 3mi/h
Zhang rides his bike toward Aaron along the same road at = 2mi/h
Let y be the number of hours for them to meet.
The expression is given as
3y + 2y = 20
solving for y, we have
5y = 20
y = 20/5
y = 4hrs
Therefore, 2 hours will pass before they meet.
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To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month. Write an equation for the cost (y) based on the number of months.
a. y = 25x + 100
b. y = 100x + 25
c. y = 25 + 100x
d. y = 100 + 25x
The correct answer is option A which is y = 25x + 100.
Given the following:
To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month
We need to write an equation for the cost (y) based on the number of months.
To solve the above problem, the answer is;a. y = 25x + 100
Explanation; Let's break down the problem
The $100 sign-up fee is a fixed cost that is added only once to the monthly fee which is $25. Thus the equation for the cost (y) based on the number of months can be expressed as; y = 25x + 100 where:y is the cost for the number of monthsx is the number of months
Therefore the correct answer is option A which is;y = 25x + 100.
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To join a local square dancing group,
Jan has to pay a $100 sign-up fee plus $25 per month.
The equation for the cost (y) based on the number of months is
y = 25x + 100,
where x is the number of months.
Option A is the correct equation for the cost based on the number of months.
Writing the equation:
y = 25x + 100
Where:
y = Cost based on the number of months
x = Number of months
Therefore, when Jan has been part of the local square dancing group for 1 month, the total cost will be:
$25 * 1 + $100 = $125
And if Jan has been a part of the group for 4 months, then the total cost would be:
$25 * 4 + $100 = $200
Therefore, option A is the correct answer.
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Find the approximate area under the curve of y=4x² by dividing the interval between x = 3 and x = 5 into (a) n = 5 subintervals (Ax=0.4) and (b) n = 10 subintervals (Ax=0.2) subintervals, and then adding up the areas of the inscribed rectangles. The height of each rectangle may be found by evaluating the function for the proper x-value. (a) The area is approximately. (Type an integer or a decimal.)
The interval [3,5] is split into ten equal subintervals: 3.0 3.2 3.4 3.6 3.8 4.0 4.2 4.4 4.6 4.8 5.0 . The area under the curve is approximately 269.2 square units when the interval from x = 3 to x = 5 is divided into ten subintervals (Ax = 0.2).
Given that, y = 4x²Interval from x = 3 to x = 5 is divided into n = 5 subintervals (Ax = 0.4) and n = 10 subintervals (Ax = 0.2).Now, let's find the height of each rectangle: Subinterval width (Ax) = (b - a) / n(a) Ax = 0.4, n = 5 subintervals
Thus, Ax = (5 - 3) / 5 = 0.4
Therefore, the interval [3,5] is split into five equal subintervals: 3.0 3.4 3.8 4.2 4.6 5.0.
The height of each rectangle will be y_i = 4(x_i)² where x_i = 3.0, 3.4, 3.8, 4.2, 4.6.
The height of the first rectangle y_1 will be:y_1 = 4(3.0)² = 36and so on. The area of each rectangle will be (height) x (width) and hence the area of all the rectangles will be the sum of the areas of all the rectangles.
Area of first rectangle A_1 = y_1Ax = 36x0.4 = 14.4Similarly, the area of all the rectangles will be, A_2 = y_2Ax + y_3Ax + y_4Ax + y_5AxA = A_1 + A_2 = 14.4 + 26.24 = 40.64.
Therefore, the area under the curve is approximately 40.64 square units when the interval from x = 3 to x = 5 is divided into five subintervals (Ax = 0.4).(b) Ax = 0.2, n = 10 subintervals
Thus, Ax = (5 - 3) / 10 = 0.2
Therefore, the interval [3,5] is split into ten equal subintervals: 3.0 3.2 3.4 3.6 3.8 4.0 4.2 4.4 4.6 4.8 5.0
The height of each rectangle will be y_i = 4(x_i)² where x_i = 3.0, 3.2, 3.4, 3.6, 3.8, 4.0, 4.2, 4.4, 4.6, 4.8
The height of the first rectangle y_1 will be:y_1 = 4(3.0)² = 36and so on. The area of each rectangle will be (height) x (width) and hence the area of all the rectangles will be the sum of the areas of all the rectangles.
Area of first rectangle A_1 = y_1Ax = 36x0.2 = 7.2Similarly, the area of all the rectangles will be, A_2 = y_2Ax + y_3Ax + y_4Ax + y_5Ax + y_6Ax + y_7Ax + y_8Ax + y_9Ax + y_10AxA = A_1 + A_2 = 7.2 + 9.76 + 13.44 + 17.92 + 22.24 + 27.2 + 33.16 + 39.36 + 45.76 + 52.64 = 269.2
Therefore, the area under the curve is approximately 269.2 square units when the interval from x = 3 to x = 5 is divided into ten subintervals (Ax = 0.2).
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What does 1,000 pennies + 100 nickels + 10 dimes + 10 quartes equal what?
need it fast plz
Answer:
1850 cents
Step-by-step explanation:
1000 pennies = 1000 cents (Multiply by 1)
100 nickels = 500 cents (Multiply by 5)
10 dimes = 100 cents (Multiply by 10)
10 quarters = 250 cents (Multiply by 25)
Total:
1000 + 500 + 100 + 250 = 1850 cents
The distribution of log-cell counts of red blood cells for women age 25-30 is approximately normally distributed with µ=1.5 cells/microliter and σ=0.1cells/microliter. Which of the following is true? Question 8 options:
P(1.5 - .02 < X < 1.5 + .02) = .68
P(1.5 - .02 < X < 1.5 + .02) = .95
P(1.5 - .02 < X < 1.5 + .02) = .9974
The following probability which is true: P(1.5 - .02 < X < 1.5 + .02) = 0.68 for the distribution of log-cell counts of red blood cells for women.
Given that the distribution of log-cell counts of red blood cells for women age 25-30 is approximately normally distributed with µ = 1.5 cells/microliter and σ = 0.1 cells/microliter.
In this, the probability of the Z score for a range is asked.
The value of Z is given by:
Z = (X - µ)/σZ
= (1.5 - 1.5)/0.1
= 0
In the Z table, the value of 0 is 0.5.
So, the following probability will be found:
P(1.5 - .02 < X < 1.5 + .02) = P(-0.2 < Z < 0.2)
We know that 0.2 value is in between 0 and 0.25 in the Z table.
P(1.5 - .02 < X < 1.5 + .02) = P(-0.2 < Z < 0.2)
= P(Z < 0.2) - P(Z < -0.2)
= 0.5793 - 0.4207
= 0.1586
≈ 0.16
Therefore, the option which is true is: P(1.5 - .02 < X < 1.5 + .02) = .68.
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What is the final elevation if
A butterfly starts at 20 m and changes -16 m?
What is the final elevation if
A diver starts at 5 m and changes -16 m?
?/1
What is the final elevation if
A whale starts at -9 m and changes 11 m?
?/1
What is the final elevation if
A fish starts at -9 meters and changes -11 meters?
Answer: Final elevation of butterfly = 4m
Final elevation for diver = -11m
Final elevation for whale= 2m
Final elevation for fish = -20m
Step-by-step explanation:
Final elevation= Initial poistion + Change.
A butterfly starts at 20 m and changes -16 m.
Final elevation = 20m +(-16m)
= 20-16 m [(-)(+)=(-)]
= 4m
A diver starts at 5 m and changes -16 m.
Final elevation = 5m + (-16) m
= 5m- 16 m [(-)(+)=(-)]
= -11 m
A whale starts at -9 m and changes 11 m.
Final elevation = (-9m)+11m
= 11m- 9m [-a+b=b-a]
= 2m
A fish starts at -9 meters and changes -11 meters
Final elevation = -9+(-11) m
= (-9-11) m [(-)(+)=(-)]
=-(9+11) m [-a-b=-(a+b)]
=-20m
Hence, Final elevation of butterfly = 4m
Final elevation for diver = -11m
Final elevation for whale= 2m
Final elevation for fish = -20m
Choose the correct model from the list. You want to support the claim that more than 70% of students at De Anza college will transfer. 450 students will be sampled. One sample t test for mean Chi-square test of independence One Factor ANOVA Simple Linear Regression Matched Pairs t-test O One sample Z test of proportion
The correct model to support the claim that more than 70% of students at De Anza College will transfer is the One sample Z test of proportion.
To determine whether more than 70% of students at De Anza College will transfer, we need to compare the proportion of students who transfer in a sample to the claimed proportion of 70%. Since we have a sample size of 450 students, the One sample Z test of proportion is appropriate.
The One sample Z test of proportion is used to compare a sample proportion to a known or hypothesized proportion. In this case, the known or hypothesized proportion is 70%, and we want to test if the proportion in the sample is significantly greater than 70%. The test involves calculating the test statistic, which follows a standard normal distribution under the null hypothesis.
By conducting the One sample Z test of proportion on the sample of 450 students, we can calculate the test statistic and determine whether the proportion of students who transfer is significantly different from 70%. If the test statistic falls in the critical region, we can reject the null hypothesis and support the claim that more than 70% of students at De Anza College will transfer.
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A 5-column table with 6 rows titled Number of cans collected. Column 1 has entries 7, 8, 10, 11, 11, 14. Column 2 has entries 16, 17, 18, 18, 24, 25. Column 3 has entries 28, 29, 30, 30, 35, 37. Column 4 has entries 38, 40, 40, 41, 41, 41. Column 5 has entries 42, 42, 42, 42, 42, 43.
Students from Grover Middle School are recycling aluminum cans. The table shows the total number of cans brought in each school day for a period of six weeks. They collected a total of 862 cans. Use the drop-down menus to define the terms.
Mean:
Median:
Mode:
Range:
Answer:
mean: 28.73
median: 30
Mode: 42
Range: 36
Step-by-step explanation:
Took the test on edge2020
Answer:
Students from Grover Middle School are recycling aluminum cans. The table shows the total number of cans brought in each school day for a period of six weeks. They collected a total of 862 cans. Use the drop-down menus to define the terms.
Mean:
✔ 28.73
Median:
✔ 30
Mode:
✔ 42
Range:
✔ 36
Step-by-step explanation:
Correct answers
Karina is baking bread. She buys a small bag of flour that contains 2 cups of flour. The recipe calls for 2 cups of flour. Does she have enough flour to bake the bread? Explain how she can compare the fractions to know for sure.
Two similar cylindrical cans hold 2 litres and 6.75 litres of liquid. If the diameter of the smaller can is 16cm, find the diameter of the larger can.
Step-by-step explanation:
It is given that,
Volume of the cylindrical can 1 is 2 litres and that of cylindrical can 2 is 6.75 litres. The diameter of the smaller can is 16 cm. We need to find the diameter of the larger can.
The formula of the volume of a cylinder is given by :
\(V=\pi r^2h\)
So,
\(\dfrac{V_1}{V_2}=\dfrac{r_1^2}{r_2^2}\)
Diameter, d = 2r
\(\dfrac{V_1}{V_2}=\dfrac{(d_1/2)^2}{(d_2/2)^2}\\\\\dfrac{V_1}{V_2}=(\dfrac{d_1^2}{d_2^2})\)
V₁ = 2 L, V₂ = 6.75 L, d₁ = 16 cm, d₂ = ?
\(\dfrac{2}{6.75}=(\dfrac{16^2}{d_2^2})\\\\d_2=29.39\ cm\)
So, the diameter of the larger can is 29.39 cm.
the teacher of a class of third graders records the height of each student. indicate which level of measurement is being used in this scenario
In this situation, interval measurement is being employed as the measurement level.
As the height of each student can be measured on a continuous scale with equal intervals between the values. It's important to note that the teacher may have rounded the measurements to the nearest unit, which would make it a discrete measurement.
Interval measurement is a level of measurement in which the values are measured on a continuous scale and have equal intervals between them, but there is no true zero point. This means that the difference between any two values on the scale is meaningful and consistent, but it is not possible to say that one value is "zero" or has no quantity of the measured attribute.
For example, measuring temperature in degrees Celsius or Fahrenheit is an example of interval measurement. In this case, the difference between 10 and 20 degrees is the same as the difference between 20 and 30 degrees, but there is no true zero temperature - a temperature of 0 degrees does not mean the absence of heat.
Another example of interval measurement is measuring time in minutes or hours. The difference between 10 minutes and 20 minutes is the same as the difference between 20 minutes and 30 minutes, but there is no "zero" point in time - even if nothing is happening, time continues to pass.
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Given that z is a standard normal random variable, compute the following probabilities. Round your answers to 4 decimal places.
a. P(0 ⤠z ⤠0.60)
b. P(-1.65 ⤠z ⤠0)
c. P(z > 0.30)
d. P(z ⥠-0.35)
e. P(z < 2.03)
f. P(z ⤠-0.80)
a. Probability of a standard normal variable being between 0 and 0.60 is 0.2257.
b. Probability of a standard normal variable being between -1.65 and 0 is 0.4505.
c. Probability of a standard normal variable being greater than 0.30 is 0.3821.
d. Probability of a standard normal variable being greater than or equal to -0.35 is 0.6368.
e. Probability of a standard normal variable being less than 2.03 is 0.9798.
f. Probability of a standard normal variable being less than or equal to -0.80 is 0.2119.
What is probability?Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.
a. P(0 ≤ z ≤ 0.60) = 0.2257
Using a standard normal table or calculator, we can find that the probability of a standard normal variable being between 0 and 0.60 is 0.2257.
b. P(-1.65 ≤ z ≤ 0) = 0.4505
Using a standard normal table or calculator, we can find that the probability of a standard normal variable being between -1.65 and 0 is 0.4505.
c. P(z > 0.30) = 0.3821
Using a standard normal table or calculator, we can find that the probability of a standard normal variable being greater than 0.30 is 0.3821.
d. P(z ≥ -0.35) = 0.6368
Using a standard normal table or calculator, we can find that the probability of a standard normal variable being greater than or equal to -0.35 is 0.6368.
e. P(z < 2.03) = 0.9798
Using a standard normal table or calculator, we can find that the probability of a standard normal variable being less than 2.03 is 0.9798.
f. P(z ≤ -0.80) = 0.2119
Using a standard normal table or calculator, we can find that the probability of a standard normal variable being less than or equal to -0.80 is 0.2119.
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How many ink cartridges can you buy with 225 dollars if
one cartridge costs 15 dollars ?
Answer:
The answer is 15!
Step-by-step explanation:
225 divided by 15 is 15! Hope this helps! :)
$60 invested at 7% compounded continuously after a period of 2 years, after 2 years the investment results in?
Answer: 8.40 dollars worth of intrest
Step-by-step explanation:
Escape room parallel lines cut by transversal digital answer key
1. The measure of <A = 36
2. The measure of <B = 63
3. The measure of <C = 71
4. The measure of <D = 99
1. The angles are in relation of alternate Interior angle.
So, x + 24 = 3x
2x = 24
x= 12
So, the measure of <A = 3x = 36
2. The angles are in relation of Corresponding angle
10x - 27 = 7x
3x = 27
x =9
So, the measure of <B = 90 - 27 = 63
3. The angles are in relation of Corresponding angle
5x + 1= 6x - 13
-x = -14
x =14
So, the measure of <C = 70 + 1 = 71
4. The angles are in relation of Alternate Exterior angle
6x + 3 = 4x + 39
2x = 36
x= 15
So, the measure of <D = 60 + 39 = 99
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PLSS HELP!! WILL GIVE YOU BRAINLYEST!!
The net below shows the dimensions of Michelle's living room. She is going to put wallpaper on the living room walls.
What is the total surface area of the room?
The total surface area is 121.8yd^2 and the lateral surface area is 79.8yd^2.
121.8 - 79.8 = 42
Given that the Upper Quartile is 14.8 and the Lower Quartile is 14.4, identify whether there are any outliers in the following data and explain the formula used to identify these outliers: 10, 13.7, 13.9, 14.4, 14.4, 14.5, 14.5, 14.6, 14.7, 14.7, 14.7, 14.9, 15.1, 15.5, 16.1 [5 marks]
To identify outliers in a dataset, we can use the interquartile range (IQR) and the concept of fences. The formula used to calculate the fences is as follows:
Lower Fence = Q1 - 1.5 * IQR
Upper Fence = Q3 + 1.5 * IQR
Where Q1 is the lower quartile, Q3 is the upper quartile, and IQR is the interquartile range (Q3 - Q1).
In this case, the lower quartile (Q1) is 14.4 and the upper quartile (Q3) is 14.8.
The interquartile range (IQR) can be calculated as:
IQR = Q3 - Q1 = 14.8 - 14.4 = 0.4
Using the formula, the lower fence is:
Lower Fence = 14.4 - 1.5 * 0.4 = 14.4 - 0.6 = 13.8
And the upper fence is:
Upper Fence = 14.8 + 1.5 * 0.4 = 14.8 + 0.6 = 15.4
Now, we can compare each data point in the dataset to the fences. If a data point is below the lower fence or above the upper fence, it is considered an outlier.
Looking at the given data: 10, 13.7, 13.9, 14.4, 14.4, 14.5, 14.5, 14.6, 14.7, 14.7, 14.7, 14.9, 15.1, 15.5, 16.1
None of the data points are below the lower fence (13.8) or above the upper fence (15.4), so there are no outliers in this dataset.
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