The probability that X will be greater than 25 is 0.42
Given,
The sample size, n = 39
The mean of the population, μ = 23
The standard deviation of the population, σ = 10
We have to find the probability for X > 25.
Here,
Z score = (X - μ) / σ
Z score = (X - 23) / 10
Now,
We have to find P(X > 25)
Then,
P(X > 25) = P(z > (25 - 23) / 10)
P(X > 25) = P(z > 2/10)
That is,
P(X > 25) = P(z > 0.2)
Here,
0.5 - P(0 ≤ z ≤ 0.2)
= (0.5 - 0.0792)
= 0.42
Therefore,
The probability that X will be greater than 25 is 0.42
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Red- 5 skittles
Purple- 8 skittles
Yellow- 1 skittle
Orange- 2 skittles
Green- 4 skittles
Tomas reaches in a bowl and pulls out a green skittle. Without replacing the green skittle, what is the probability he picks a yellow skittle.
A. 1/100
B. 1/80
C. 1/95
D. 1/76
Answer:
I think its C. 1/95
Step-by-step explanation:
I am not sure this is the answer, i haven't done this math in ages so I'm a bit rusty so good luck on the test!
Please Help!!!!
Kim and Tracy are collecting data for their final project in their psychology
class, in which they are conducting a survey about people’s overall job
satisfaction. They decide to go to the local mall to collect their data. To get a
more varied sample, Kim surveys shoppers coming out of store A, a discount
clothing store, while Tracy surveys shoppers coming out of store B, a high-end
boutique.
A. Identify a possible problem with this type of sampling method. (6 points)
B. How might Kim and Tracy improve on their sample design so as to get more
accurate information from the shoppers at the mall?
Answer:
below
Step-by-step explanation:
A problem would be that they are not surveying people from multiple places. They are doing it at 2 opposite stores, at the same times. They should try multiple different stores at other days and times to get more objective data.
Are These acute obtuse or right
The following data represent the high-temperature distribution for a summer month in a city for some of the last 130 years. Treat the data as a population. Complete parts (a) through (c).
Temperature: Days:
50-59 5
60-69 309
70-79 1496
80-89 1521
90-99 533
100-109 6
(a) Approximate the mean and standard deviation for temperature.
B) Use the frequency histogram of the data to verify that distribution is bell shaped. Yes or No
C) According to the Empirical rule, 95% of the days in the month will be between what two temperatures?
Regarding the data-set of the temperatures, it is found that:
a) The mean and the standard deviation are given as follows:
Mean: 80.41Standard deviation: 8.33.b) The histogram is bell shaped.
c) 95% of the days will be between 63.75 ºF and 97.07 ºF.
How to obtain the mean and the standard deviation?The first step towards obtaining the mean and the standard deviation is obtaining the relative frequencies, which are the absolute frequencies divided by the number of observations.
The number of observations is:
5 + 309 + 1496 + 1521 + 533 + 6 = 3870.
Considering the midpoint of each interval, the following distribution is built:
P(X = 54.5) = 5/3870 = 0.0013.P(X = 64.5) = 309/3870 = 0.0798.P(X = 74.5) = 1496/3870 = 0.3866.P(X = 84.5) = 1521/3870 = 0.3930.P(X = 94.5) = 533/3870 = 0.1377.P(X = 104.5) = 6/3870 = 0.0016.The mean is given by the sum of each value multiplied by it's relative frequency, hence:
E(X) = 54.5 x 0.0013 + 64.5 x 0.0798 + 74.5 x 0.3866 + 84.5 x 0.3930 + 94.5 x 0.1377 + 104.5 x 0.0016 = 80.41.
The standard deviation is given by the square root of the sum of the differences squared between each observation and the mean, multiplied by their relative frequencies, as follows:
S(X) = sqrt((54.5-80.41)² x 0.0013 + (64.5-80.41)² x 0.0798 + (74.5-80.41)² x 0.3866 + (84.5-80.41)² x 0.3930 + (94.5-80.41)² x 0.1377 + (104.5-80.41)² x 0.0016) = 8.33.
From the histogram, most values are around the mean, with a small percentage of around 0.3% around the bounds, accordingly with the Empirical Rule, hence the distribution is normal.
By the Empirical Rule, a percentage of 95% of the observations is within two standard deviations of the mean, hence:
80.41 - 2 x 8.33 = 63.75.80.41 + 2 x 8.33 = 97.07.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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Can someone sketch the graph plsss? I rlly need help to sketch it
Answer:
1. Plot x = 0
(A. IF YOU CAN EASILY FIND IT, PLOT Y = 0)
(B. BONUS: PLOT A FEW EASY TO CALCULATE POINTS LIKE X = 1 & X = -1)
2. Figure out what happens when x is really big (in the positive and negative direction)
3. Optional: look for any “significant” x-values
4. Connect the dots and finish!
Step-by-step explanation:
1. Plot x = 0
The first thing we want to do is get some points up on our graph, so we want to pick the ones that will be easy to calculate. For almost any equation, plugging in x = 0 and solving for y is fast and easy to do by eye, and almost always doable without a calculator. For our example equation:
So, the first point we’ll put on our graph is (0, -4).
There are 90 new houses being built in a neighborhood.last month, 1/5 of them were sold. this month,1/3 of the remaining houses were sold. How many houses were left to be sold?
Step-by-step explanation:
1:
1/5 of 90 = 18 hours which are sold.Means are 72 houses left.
2.
1/3 of 72 =24 houses sold again. Sooo means there are 48 houses left to be sold
7. Wanda's Widgets used market surveys and linear regression to develop a demand function based on the wholesale price. The demand function is q = -140p + 9,000. The expense function is E = 2.00q + 16,000.
a. Express the expense function in terms of p.
b. At a price of $10.00, how many widgets are demanded?
c. How much does it cost to produce the number of widgets from part b?
I am so confused on how to answer these 3 sections, so if anyone could help I would really appreciate it!!
a. The expense function in terms of p is - 280p + 34, 000
b. At a price of $10.00, 7, 600 widgets are demanded
c. It costs $31, 200 to produce the number of widgets from part b
How to determine the valuesWe have that;
The demand function is q = -140p + 9,000The expense function is E = 2.00q + 16,000To express the expense function in terms of p, we have to take the following steps;
Substitute the value of q in the demand function into the function for the expense, we get;
Expense function = 2( -140p + 9,000) + 16, 000
Now, expand the bracket, we get;
Expense function = - 280p + 18, 000 + 16, 000
collect and add like terms
Expense function = - 280p + 34, 000
If p = $10. 00
Then,
Demand function is q = -140(10) + 9,000
expand the bracket
q = - 1400 + 9, 000
q = 7, 600
Substitute q in expense function
E = 2.00q + 16,000
E = 2. 00(7600) + 16, 000
E = $31, 200
Hence, the expense function is - 280p + 34, 000
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A store sells grapes for $1.99 per pound, strawberries for $2.50 per pound, and pineapples for
$2.99 each. Jonathan has $25 to buy fruit.
He plans to buy 2 more pounds of strawberries than grapes. He also plans to buy 2 pineapples.
The maximum number of whole pounds of grapes bought by Jonathan is 3 pounds.
What is meant by the term inequality?In mathematics, "inequality" describes the connection between two factors or values that aren't equal to one another.You can cross inequalities when they are connected. A will therefore be greater than c if an is larger than b and b is larger than c.For the given question;
The rate of grapes = $1.99 per pound
The rate of strawberries = $2.50 per pound
The rate of pineapples = $2.99 per pound
Let x be the number of pounds of grapes.
strawberries = x + 2
Total price paid by Jonathan = $25
Thus, the inequality becomes.
2(2.99) + 1.99x + 2.50(x + 2) ≤ 25
Solve the inequality to find the pounds of grapes.
5.98 + 1.99x + 2.5(x + 2) ≤ 25
x ≤ 3.11
x = 3
Thus, the maximum number of whole pounds of grapes bought by Jonathan is 3 pounds.
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The complete question is-
A store sells grapes for $1.99 per pound, strawberries for $2.50 per pound, and pineapples for
$2.99 each. Jonathan has $25 to buy fruit.
He plans to buy 2 more pounds of strawberries than grapes. He also plans to buy 2 pineapples.
If x represents the number of pounds of grapes, write an inequality in one variable that models this
scenario.
Determine algebraically the maximum number of whole pounds of grapes he can buy.
Approximate the following square root to the nearest integer.
√10~
Current Year Previous Year
Occupied Rooms 1,512 1,458
Total Rooms 1,800 1,800
The proportions of the total rooms that were occupied each year are:
The current year is 84%.The previous year is 81%.What is the proportion?Proportion is the fractional value of a variable when compared to the whole.
Proportions show the ratio or relative relationship between two or more values set as equal.
Like ratios, proportions are depicted in fractions, decimals, or percentages to show how two values compare.
Current Year Previous Year
Occupied Rooms 1,512 1,458
Total Rooms 1,800 1,800
Proportion of occupied rooms = 84% 81%
(1,512/1,800 x 100) (1,458/1,800 x 100)
Thus, on average, room occupancy for the two years is 82.5%, and proportionately for each year, it is 84% for the current year, while the previous year recorded 81%.
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Question Completion:What proportion of the total rooms were occupied each year?
find the missing angle measures
a=b
b=(b+16)
c=(2b)
Answer:
a = 41°
b = 57°
c = 82°
Step-by-step explanation:
all angles in a triangle must add up to equal 180°
so 4b + 16 = 180180 - 16 = 4b164 = 4b164 / 4 = 41b = 41°therefore a = 41°, b = (41 + 16) --> 57°, and c = 2(41) = 82°Subtract and simplify.
With the help of subtraction we can say that the answer is =21/15
What is subtraction?The process of subtracting one number from another is called subtraction. The way to calculate the difference between two numbers is by using the basic arithmetic operation of subtraction, which is represented by the symbol (-).The operation of subtraction is used to calculate the difference between two numbers. If you remove a few items from a collection of things, the group will get smaller.Acc to the question-
32/15 - 11/15as the denominator is same21/15more simplifying we get = 1.4Hence,The answer is = 21/15
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Answer:
21/15
Step-by-step explanation:
Given problem,
→ (32/15) - (11/15)
Let's solve the given problem,
→ (32/15) - (11/15)
→ (32 - 11)/15
→ 21/15
Hence, the answer is 21/15.
If a circle has an Area of 84.9056, find the radius and the circumference of the circle.
(Use π=3.14 and do not round.)
Radius =
Circumference =
Answer: Radius is estimated to = 5.2
Circumference is estimated to = 32.66
solve for x. "-8+x/4=-4" simplify your answer as much as possible
Answer:
48
Step-by-step explanation:
multiply by 4 to make x whole number
-32+x=16
+32 to isolate x
x=16+32
add for answer
x=48
Graph a line with a slope of 1/5 and passes through the point (-2, 2).
The equation of line in slope intercept form
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan\theta[/tex]
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Here,
Slope = [tex]\frac{1}{5}[/tex]
Point = (-2, 2)
Required equation of line =
[tex]y - 2 = \frac{1}{5}(x - (-2))\\5y - 10 = x + 2\\5y = x + 2 + 10\\5y = x + 12\\y = \frac{1}{5}x + \frac{12}{5}\\[/tex]
The graph has been attached here.
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8x - 6 = 2(4x-3)
Does the equation have one
none, or infinite solutions?
Explain why.
The given linear equation has only one solution i.e. x = 3/4
What is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
A linear equation in one variable has
(a) Only one solution
(b) Two solutions
(c) More than two solutions
(d) No solution
Here,
On solving we have 8x - 6 = 0 or x = 3/4. The above linear equation is only true if x = 3/4 and
Hence, the given linear equation has only one solution i.e. x = 3/4.
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a) 50 students in a hostel had provisions for 60 days. (i) How long would the provisions last for 1 student? (ii) How long would the provisions last for 40 students?
Answer:0.8
Step-by-step explanation:
0.8 can be used for 1 student and 40. :)
The values are;
i, For 1 student, it would take = 1 1/5 days
ii. For 40 students, 48 days
How to determine the daysFirst, we need to know that proportion is an equation made equal to another.
From the information given, we have that;
50 students in a hostel had provisions for 60 days.
This is represented as;
50 students = 60 days
Then, we get that;
i, If 50 students = 60 days
1 students = x days
cross multiply the values
x = 60/50
x = 1 1/5 days
ii. If 50 students = 60 days
40 students = x days
x = 60(40)/50
divide the values
x = 48 days
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The carousel on the national mall has four rings of horses. Kiran is running on the inner ring, which has a radius of 9 feet. Mai is riding on the outer ring, which is 8 feet farther out from the center then the inner ring is. And one rotation of the carousel, how much farther does mai travel from Kiran. One rotation takes 12 seconds. How much faster does mai travel than kiran?
Answer:
50.24
Step-by-step explanation:
so u subtract the distanse not 9-4 u have to find a porportional ratio it was 100 - 50 or something add u get 50.24
tbh i didnt knw i just searched it up and im only in 6th grade so im not the the smartest in the world
i have no clue what the second on is so good luck with that
What fraction is represented by .8 point is a blank which point represents 56 point blank represents 56
The fraction that represents 0.8 is 4/5 .
Fraction can be defined as a numerical quantity that is part of a whole number . it is written in the form of a/b , where a is called the numerator and b is called the denominator .
For Example , 1/2 , 3/8 4/9 are all fractions .
In the question ,
it is given that the point is 0.8 ,
we need to convert this point in fraction ,
the point 0.8 in fraction can be written as 8/10 ,
= 8/10
simplifying further ,
we get
= 4/5
Therefore ,The fraction that represents 0.8 is 4/5 .
The given question is incomplete , the complete question is
What fraction is represented by 0.8 ?
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Which answer choice represents the difference of 20 and 3 times a number?
The difference of 20 and 3 times a number x is represented by 20 - 3x , the correct option is (c) .
In the question ,
it is given that
the number is x ,
we have to find the expression , that represents the difference of 20 and 3 times a number .
three times the number x is denoted by 3x .
and the difference of 20 and three times the number x is 20 - 3x .
the expression is (20 - 3x).
Therefore , The difference of 20 and 3 times a number x is represented by 20 - 3x , the correct option is (c) 20 - 3x .
The given question is incomplete , the complete question is
Which answer choice represents the difference of 20 and 3 times a number x ?
(a) 3x + 20
(b) 20(3x)
(c) 20 – 3x
(d) (20 · 3)x
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Levine Labs used 50,000 ounces of specimen adhesive during the year. The direct materials standard allows 1.50 ounces of adhesive at a price of $0.40 per ounce for each pathology test. The direct materials quantity variance was $880 Favorable.
How many pathology tests did Levine Labs complete during the year?
(Round per unit value to 2 decimal places, e.g. 15.25 and final answer to O decimal places, e.g. 125.)
Pathology tests ____?
The number of pathology tests that were completed during the year by Levine Labs are 34,800 tests.
What is the calculation showing the above answer?Note that Material quantity variation - Material quantity variation describes the cost difference caused by variations in the actual material used and the standard material to be utilized.
Material quantity Variance =
(Actual material used- Standard material used) x Standard cost
(50000-no of test x 1.5) x 0.4 = -880
-2200 = 50000-(No of test*1.5)
No of test x 1.5 = 52,200
No of test = 52,200/1.5
No of test = 34,800
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Suppose that 14 inches of wire costs 70 cents. At the same rate, how many inches of wire can be bought for 50 cents?
Answer:
10 inches
Step-by-step explanation:
What this question is asking you to do is set up a ratio. So all you do is 14/70 = x/50 and solve for x.
Answer:
14inches = 70cents
X inches = 50cents
70x = 50×14
70x = 700
X = 10inches
Evaluate the given function for f (2).
The value of f(2) is 2.
What is graph function?
The collection of all points in the plane with the form (x, f(x)) that make up a function f's graph. We may alternatively say that the graph of f is the graph of y = f. (x). As a result, the graph of an equation is a particular instance of the graph of a function.
All y-coordinates of the graph function are an output of the graph function.
All x-coordinates of the graph function are an input of the graph function.
f(2) is an output of the function.
Here find the y-coordinates of the point on the graph when the value of x is 2.
(2,3) is a point on the graph.
Thus f(2) = 3
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m∠M = 6x – 6 and m∠P = 4x + 10, what is m∠M?
In Ty’s English class 70% of the students completed and essay by the due date there are 30 students in Ty’s English class how many completed the essay by the duet date?
21 students completed the essay by due date
What is unitary method ?In its simplest form, the unitary procedure is used to determine the value of a single unit from a given multiple. How to calculate the value of one pen, for example, if 40 cost Rs. 400. To finish it, using the unitary method. Additionally, after the value of a single unit has been established, we can multiply that value by the quantity of additional units required to establish the value of the additional units. This is typically how the concepts of ratio and proportion are used.
Calculation30 ----------> whole
30 ----------> 100 %
0.3 -----------> 1%
multiplying both sides by 70
21 ----------> 70 %
therefore 21 students completed the essay by due date .
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What is the measure of each angle of a regular 22-gon? If necessary, round to the nearest tenth.
The measure of each angle of a regular 22-gon is 163.6 degrees.
How to find the sum of angles of a polygon?In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides.
Polygon can be named base on the number of sides they possess. For example pentagon has 5 sides, hexagon has 6 sides, heptagon has 7 sides, octagon has 8 sides, nonagon has 9 sides and decagon has 10 sides.
Therefore, a regular polygon is one which sides and angles are congruent.
A regular 22-gon has 22 sides.
The measure of each angle of 22-gon can be found as follows;
angle= 180(n - 2) / n
where
n = number of sides
angle = 180 (22 - 2) / 22
each angle = 180(20) / 22
each angle = 3600 / 22
Therefore,
each angle = 163.636363636
each angle = 163.6 degrees.
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Linear regression question 8
Use graph below using all the points on the graph to figure out the line of best fit and the estimate of Carter’s weight 15 weeks into his diet.
The linear regression equation from the given scatter plot is:
y = -1.62x + 215.64.
Using this function, the estimate of his weight 15 weeks into the diet is:
191.34 pounds.
How to obtain the linear regression equation?The linear regression equation is obtained inserting the points of the scatter plot of the situation into a linear regression calculator.
From the given scatter plot, the points are given as follows:
(0,216), (1,214), (2,213), (3,210), (4,210), (5,207), (6,206), (7,202), (8,203), (9,202), (10,200)
Inserting these points into a calculator, the line of best fit is given as follows:
y = -1.62x + 215.64.
The estimate weight at the 15th week of the diet is the numeric value of the function when x = 15, that is, the lone instance of x in the function is replaced by 15, as follows:
y = -1.62(15) + 215.64 = 191.34 pounds.
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35. Rosa plants rows of flowers with exactly the same number
in each row. Each row has more than one flower. She has
28 flowers. What is the largest number of rows she can make?
A 4
B
7
12
D 14
Answer: 10 rows of rose plants
Step-by-step explanation:
The number of rose plants in first, second third,..., and last row are respectively.
23,21,19,....,5.
number of rose plants: n
The sequence 23,21,19,....,5 is an A.P. with first term a(=23), common difference d(=−2) and n
=a+(n−1)d
⟹5=23+(n−1)×−2
⟹5=23−2n+2⟹20=2n⟹n=10
A ramp goes from a doorway of a building to the ground. The end of the ramp connected to the doorway is 1 foot above the ground. The distance along the ramp to the building is 5 feet. What is the angle of elevation of the ramp to the nearest degree?
A. 11°
B. 0°
C. 12°
D. 1°
Using the trigonometry ratio, he angle of elevation of the ramp to the nearest degree is 11°.
In the given question,
A ramp goes from a doorway of a building to the ground.
The end of the ramp connected to the doorway is 1 foot above the ground.
The distance along the ramp to the building is 5 feet.
We have to find the angle of elevation of the ramp to the nearest degree.
The distance is 5 feet.
The height is 1 foot.
To find the angle of elevation we used the trigonometry ratio.
According the trigonometry ratio, we know that tangent is the ratio between height and distance.
We can write it as
tan A=height/distance
Now putting the value
tan A=1/5
tan A=0.2
So A = arctan(0.2)
A = 11.30°
A ≈ 11°
Hence, the angle of elevation of the ramp to the nearest degree is 11°.
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At one time the thickness of different gauges of stainless
steel were given in fractions of an inch. Today, these
thicknesses are listed as decimal numbers. Convert each of
the following fractional thicknesses to decimal form.
A fraction can be converted into decimal form by dividing it. The answer to these parts are in main body.
What is a decimal?
When we divide a whole into smaller parts, we get decimals. Then, there are two parts to a decimal number: a whole number part and a fractional part. The whole component of a decimal number has the same decimal place value system as the complete number.
Main Body:
a) 15/32 = 0.4688
b) 13/64 = 0.2031
c) 9/16 = 0.5625
d) 5/8 = 0.625
e) 7/80 = 0.0875
f) 29/1280 = 0.0227
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