Answer:
It is A
Step-by-step explanation:
Using Symmetry and the Empirical Rule A standardized test is approximately normally distributed with a mean score of 78 and a standard deviation of 3. Use the symmetry of the normal curve and apply the Empirical rule to answer the questions. Make a sketch of the curve to help you determine the areas. Note: You must use the Empirical Rule values 68 % , 95 % , and 99.7% in your computations. The computer calculator will not give you the correct answer. What percent of students scored less than 78? 75 % de What percent of students scored between 75 and 78? What percent of students scored between 72 and 81? Se % What percent of students scored between 69 and 75?
a. About 50% of the students scored less than 78.
b. Approximately 68% of the students scored between 75 and 78.
c. Approximately 95% of the students scored between 72 and 81.
d. Approximately 99.7% of the students scored between 69 and 75.
a) The normal curve is symmetrical, meaning that the area to the left of the mean is equal to the area to the right of the mean. Since the mean score is 78, 50% of the students scored above 78 and 50% scored below 78.
b) To apply the Empirical Rule, we will assume that 68% of the data falls within one standard deviation of the mean, which in this case is 3 points. So, 68% of the students scored between 75 and 81.
c) The percentage of students who scored between 72 and 81 can be found by subtracting the area to the left of 72 from the area to the left of 81. Using the Empirical Rule, we know that 95% of the observations are within two standard deviations of the mean, so the area between 72 and 81 is equal to 95%.
d) The percentage of students who scored between 69 and 75 can be found by subtracting the area to the left of 69 from the area to the left of 75. Using the Empirical Rule, we know that 99.7% of the observations are within three standard deviations of the mean, so the area between 69 and 75 is equal to approximately 99.7%.
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A solid figure is separated into 2 rectangular prisms. The volume of rectangular prism A is 75 cubic yards. Rectangular prism
B has a length of 7 yards and a width of 3 yards. The total volume of the solid figure is 180 cubic yards. What is the height of
rectangular prism B?
The height of rectangular prism B is 5 yards.
Let's first find the volume of rectangular prism B:
The volume of the solid figure = Volume of prism A + Volume of prism B
180 = 75 + length × width × height of prism B
105 = length × width × height of prism B
We know that the length of prism B is 7 yards and the width is 3 yards,
Substitute those values:
105 = 7 × 3 × height of prism B
105 = 21 × height of prism B
height of prism B = 105/21
height of prism B = 5
Therefore, the height of rectangular prism B is 5 yards.
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A camp counselor buys lunch for her campers at a nearby fast food restaurant. On
Monday, she purchased 5 hamburger meals and 6 chicken nugget meals, for a total of
$39. On Thursday, she purchased 9 hamburger meals and 2 chicken nugget meals,
for a total of $35.
Which pair of equations could be used to determine the cost of each type of meal?
Answer:
correct choice is the last one
Step-by-step explanation:
let h = cost of 1 hamburger meal
let c = cost of 1 chicken nugget meal
5h + 6c = 39
9h + 2c = 35
if A=-3+5i, B=4-2i and C=1+6i, where i is imaginary unit, then A-BC equals to what?
Multiplication is the process of multiplying. The value of A-BC is equal to -19-17i.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The value of BC is,
BC = (4-2i)×(1+6i)
BC = 4 + 24i - 2i -12i²
BC = 4 + 22i - 12(-1)
BC = 4 + 22i +12
BC = 16 + 22i
Now, the value of A-BC will be equal to,
A-BC = (-3+5i)-(16+22i)
= -3+5i-16-22i
= -19 - 17i
Hence, the value of A-BC is equal to -19-17i.
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while eating your yummy pizza, you observe that the number of customers arriving to the pizza station follows a poisson distribution with a rate of 18 customers per hour. on average, how many customers arrive in each 10 minutes interval?
In every 10 minutes an average of 3 customers will arrive to the pizza station
Given,
The number of customers arriving to the pizza station follows a poisson distribution with a rate of 18 customers per hour.
We have to find the average number of customers arrives in each 10 minutes.
Here,
The chance that X represents the number of successes of a random variable in a Poisson distribution is provided by the following formula:
P (X = x) = (e^-μ × μ^x) / x!
Where,
The number of successes is x.
The Euler number is e = 2.71828.
μ is the average over the specified range.
Now,
Rate of 18 customers per hour;
μ = 18 n
n is the number of hours.
Number of customers arrive in each 10 minutes
10 minutes = 10/60 = 1/6
Then,
μ = 18 x 1/6 = 3
That is,
In every 10 minutes an average of 3 customers will arrive to the pizza station.
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Quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation. If TY = 2, find RM.
Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.
Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.
A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.
Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.
Therefore, RM = 2.
By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.
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3. Make 2 equivalent ratios for each given:
3:2
12:8
7:21
please help with this
Answer:
G
Step-by-step explanation:
It is g as it is directly in the middle of the points
When ringing up a customer, a cashier needs 18 seconds to process payment as well as 1 second to scan each item being purchased. If it takes 20 seconds to ring up a customer, how many items are being purchased?
there are 40 identical marbles in a box.18 of the marbles are blue, 14 are red and 8 green.what is the probability that a marble selected at random are either blue or green
Answer:
0.65
Step-by-step explanation:
18+8=26 26/40 = 0.65
How do you write equations in Point-slope form?
For a line with a slope a and a known point (h, k), the point-slope form is:
y = a*(x - h) + k
How to write an equation in point slope form?A general linear equation can be written in slope-intercept form as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that a line passes through a point (h, k), then the point-slope form of that line is:
y = a*(x - h) + k
Notice that particularly, the y-intercept can be written as (0, b), then the slope-intercept form is also a point-slope:
y = a*(x - 0) + b
y = a*x + b
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Question 4 of 10
If a tree diagram were drawn to determine the number of possible outcomes
when choosing one of 3 salads, one of 5 entrées, and one of 9 desserts, how
many leaves would there be?
O A. 17
OB. 45
C. 135
2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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A rocket moves through outer space at 10,500 m/s. At this rate how much time would be required to travel the distance from Earth to the moon, which is 380,000 km?
Answer:
The answer is around 27.63 seconds.
Step-by-step explanation:
1 km equals 1000 meters so we have to multiply 10,500 and 1,000 which would equal 10,500,000 km. 10,500,000 divided by 380,000 which is around 27.63 seconds.
There are two types of fish in a lake. These are carp and pike.
In a netted area of the lake 120 carp and 16 pike were caught
In the whole lake it is estimated there are 34 000 fish.How many pike are there?
Answer:pike are 250 ; from 120+16=136 and 34000/136 is 250
Step-by-step explanation:
We will first find x − x 2 . In column 2 in the table below we will calculate the deviation between each data value and the mean. Then in column 3 we will square each deviation. x x − x x − x 2 50 50 − 40.545 (9.455)2 = 89.397 28 28 − 40.545 (-12.545)2 = 157.377 37 37 − 40.545 (-3.545)2 = 12.567 30 30 − 40.545 (-10.545)2 = 111.197 58 58 − 40.545 (17.455)2 = 304.677 38 38 − 40.545 (-2.545)2 = 6.477 39 39 − 40.545 (-1.545)2 = 2.387 59 59 − 40.545 (18.455)2 = 340.587 47 47 − 40.545 (6.455)2 = 41.667 34 34 − 40.545 (-6.545)2 = 42.837 26 26 − 40.545 (-14.545)2 = 211.557 The sum of the squared deviations in column 3, rounded to three decimal places, is x − x 2 =
For the deviation between each data value and the mean in column 3, there are around 1320.511 squared deviations in all.
How to determine deviation?To find the sum of the squared deviations in column 3, add up all the values in that column.
x x − x (x − x)²
50 50 − 40.545 (9.455)² = 89.397
28 28 − 40.545 (-12.545)² = 157.377
37 37 − 40.545 (-3.545)² = 12.567
30 30 − 40.545 (-10.545)² = 111.197
58 58 − 40.545 (17.455)² = 304.677
38 38 − 40.545 (-2.545)² = 6.477
39 39 − 40.545 (-1.545)² = 2.387
59 59 − 40.545 (18.455)² = 340.587
47 47 − 40.545 (6.455)² = 41.667
34 34 − 40.545 (-6.545)² = 42.837
26 26 − 40.545 (-14.545)² = 211.557
To find the sum of the squared deviations, add up the values in column 3:
x − x² = 89.397 + 157.377 + 12.567 + 111.197 + 304.677 + 6.477 + 2.387 + 340.587 + 41.667 + 42.837 + 211.557 = 1320.511
Rounded to three decimal places:
x − x² ≈ 1320.511
Therefore, the sum of the squared deviations in column 3 is approximately 1320.511.
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State the domain and range of the following function.
Answer:
Step-by-step explanation:
ur STUP1d
na mapie wykonanej w skali 1:2000 odległość między domem Jurka a biblioteką wynosi 16,5cm. Jak daleko ma Jurek do biblioteki?
Answer:
cecjwmvofnqvj mb lol
Step-by-step explanation:
I make $20 an hour but I love 30% to taxes. How much do I take home each hour after taxes?
Answer:
$14
Step-by-step explanation:
We can make an equation
30%. . . . . .X
--------- = ---------
100. . . . . . .20
Now we cross multiply
100x = 600
x = 6
Now we subtract to find how much we will take home.
20 - 6 = $14 every hour will be made
x-intercept=? y-intercept=? What is the slope?
Answer: x=1 y=-3
just look where the line touches mane
Desperate Need Of Help
The domain and range of the graph above in interval notation include the following:
Domain = [-6, 3]
Range = [-3, 3]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-6, 3] or -6 ≤ x < 3.
Range = [-3, 3] or -3 < y < 3
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find the perimeter of a triangle where one side is 2 inches, one side is 6 inches and another side is 10 inches.
(a) 2in.
(b) 9in.
(c) 36in.
(d) 18in.
Answer:
(d) 18 in.
Step-by-step explanation:
When we're given the three sides of a triangle, one formula we can use for perimeter of a triangle is:
P = s1 + s2 + s3, where
P is the perimeter,and s1, s2, and s3 are the three sides:P = 2 + 6 + 10
P = 8 + 10
P = 18
Thus, the perimeter of the triangle is 18 in.
i need help!!!!!!!!......
Answer:
x² / z²
Step-by-step explanation:
i factored each expression and when it came to division, I multiplied by the reciprocal
[x(y + z) / z(x - z)] · [y(x - z) / z(x + y)] · [x(x + y) / y(y + z)]
re-write the above in a horizontal fraction form and it will be easier to follow
Raoul has 72 wristbands and 96 movie passes to put in gift bags. The greatest common factor for the number of wristbands and the number of movie passes is qual to the number of gift bags. Raoul needs to make. Then find how many wristbands and how many movie passes raoul can put in each gift bag if he evenly distributes the items.
Please help I am stuck I am doing work nonstop on all weekends if I don’t get this right and done please help and will give brainlesst for the correct answer
Answer:
Step-by-step explanation:
I do know give me brainliest first
Answer:
24 gift bags
Step-by-step explanation:
Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!
May I have heart, 5 star, and brainliest please?
David has twenty dimes (d) and quarters (q). These coins total $2.75. How many of each type of coin does he have? • Write a systems of equations to model this scenario. • Show your work and state how many of each type of coin he has. Enter your systems of equations, your work, and your statement of how many of each type coin David has below.
David has 15 dimes and 5 quarters.
Given that, David has twenty dimes (d) and quarters (q). These coins total $2.75.
Establishing the system of equations,
d + q = 20
d = 20 - q.............(i)
0.1d + 0.25q = 2.75..........(ii)
Put eq(i) in eq(ii),
0.1(20-q)+0.25q = 2.75
2-0.1q + 0.25q = 2.75
0.15q = 0.75
q = 5
Put q = 5 in eq(i)
d = 20-5
d = 15
Hence, David has 15 dimes and 5 quarters.
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For which value of k does the system have no solutions?
Given:
\(\begin{gathered} 4x+y=3 \\ kx+y=-2 \end{gathered}\)To find the k value which the system has no solutions:
If the system has no solution, then
\(\frac{a_1}{a_2}=\frac{b_1}{b_2}\ne\frac{c_1}{c_2}\)So, we get
\(\begin{gathered} \frac{4}{k}=\frac{1}{1}\ne\frac{-3}{2} \\ \therefore k=4 \end{gathered}\)Hence, the answer is k=4.
2*3^20-5*3^19/(-9)^9
The given expression is:
(23^20-53^19)/(-9)^9
This is a mathematical expression that involves multiple operations. The first step is to understand the order of operations, or PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction)
Parentheses: The expression does not contain any parentheses, so we can move on to the next step.
Exponents: The first term, 23^20, contains an exponent. The exponent operator (^) has higher precedence than the multiplication operator (), so we will simplify the exponent first. 3^20 is equal to 3 raised to the power of 20, which is equal to 3 * 3 * 3 * ... * 3 (20 times) = 59,049. Therefore, the first term is now 2 * 59,049.
The second term 5*3^19 also contains an exponent, so we simplify it in the same way as the first term. 3^19 is equal to 3 * 3 * 3 * ... * 3 (19 times) = 7,29,043. Therefore, the second term is now 5 * 7,29,043.
Multiplication and Division: After simplifying the exponents, we can see that the expression contains both multiplication and division. Since division has the same precedence as multiplication, we can simplify the expression from left to right.
The first term 2 * 59,049 is the product of 2 and 59,049. Multiplying these two numbers gives us 118,098.
The second term 5 * 7,29,043 is the product of 5 and 7,29,043. Multiplying these two numbers gives us 36,45,215.
The third term is the division of two terms. We have (23^20-53^19) / (-9)^9
Subtraction : Now we have the subtraction of two terms (118,098 - 36,45,215)
Now we have the division of two terms (-35,27,117) / (-9)^9. In this step, we are dividing the subtraction with -9 raised to the power of 9
The final step is to simplify the division. -9^9 is equal to -9 * -9 * -9 * -9 * -9 * -9 * -9 * -9 * -9 = -3486784401.
So the final expression is -35,27,117/-3486784401.
The expression is a very large negative number divided by a very large negative number, which results in a very small positive number.
Fill in the blank for this question!
While an absolute value may be any number, the output from an absolute value expression is always greater than or equal to zero
How to Interpret an Absolute Value Function?The absolute value | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero along real number line.
The absolute value of any number is seen to be always greater than or equal to zero. Both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value.
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Card Eleven
What is the area of the figure?
х
3x + 1
6
2x
I will give thanks and five stars to the person that helps me.
Answer:
Possible (19, 21, 36)Not Possible (2, 7, 17)Step-by-step explanation:
a - 7 > 10
~Add 7 to both sides
a > 17
With this being said, any value greater than 17 will be a solution. In the choices given, only 19, 21, and 36 are greater so those are the possible solutions. The others are not solutions.
Best of Luck!