The following probability distribution was subjectively assessed
for the number of sales a salesperson would make if he or she made
five sales calls in one day. Sales --->Probability 0 --->
0.10 1 ---> 0.15 2 ---> 0.20 3 ---> 0.30 4 ---> 0.20 5
---> 0.05 Given this distribution, the probability that the
number of sales is 2 or 3 is 0.50.
TRUE or FALSE
The probability that the number of sales is 2 or 3 is 0.50" is TRUE.
Sales (x) --> Probability (P(x))
0 --> 0.10
1 --> 0.15
2 --> 0.20
3 --> 0.30
4 --> 0.20
5 --> 0.05
To determine if the probability of making 2 or 3 sales is 0.50, we need to add the probabilities for 2 and 3 sales:
P(2 or 3) = P(2) + P(3) = 0.20 + 0.30 = 0.50
Since the sum of the probabilities for 2 and 3 sales is 0.50, the statement "Given this distribution,
the probability that the number of sales is 2 or 3 is 0.50" is TRUE.
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d. tickets to the zoo cost $25 for adults and $10 for children. the total ticket sales one day were $47,750. the number of children, c, who visited the zoo was 270 more than 6 times the number of adults, a, who visited. write and solve a system of equations to find the total number of visitors to the zoo that day.
The total number of visitors to the zoo that day=3980.
Given:
cost of each ticket for an adult=$25
cost of each ticket for an adult=$10
Total ticket sales one day=$47,750.
⇒$25+$10=47,750
⇒25+10=47,750-----(1)
Also,
c=6a+270
6a-c=-270------(2)
multiplying eq(2) with 10 we get:
60a-10c=-2700----(3)
Adding eq(1) and eq(3) we get
25a+10c=47,750
60a-10c=-2700
--------------------------
85a=45050
--------------------
To calculate a value just divide 45050 by 85 we get
a=45050/85
a=530
Now to get the value of c substitutes a value.
c=60(530)+270
c=3450
Number of Adult visitors=530
Number of children visitors=3450
Total Number of visitors=3980.
Therefore, the total number of visitors to the zoo that day=3980.
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Dole Pineapple, Inc., is concerned with the 16-ounce can of sliced pineapple is being overfilled. Assume the standard deviation of the process is .03 ounces. The quality control department took a random sample of 50 cans and found that the arithmetic mean weight was 16.05 ounces. At the 5% level of significance, can we conclude that the mean is greater than the 16 ounces? Determine the p-value.
The required value Z = 11.792 >1.96 at a 0.05 level of significance.,he null hypothesis is rejected,the alternative hypothesis is accepted at a 0.05 level of significance.
As the mean weight is less than 16 ounces.
How to solve the P-value ?Given that the mean of the Population = 16
Given that the standard deviation of the process
σ = 0.03 ounce
Given that the mean of the sample = 16.05 ounces
Null hypothesis: H₀:μ > 16 ounces
Alternative HypothesisH₁: μ <16 ounces
According to given data:Z = x-mean/SD/√n
Z = 16.05-16/0.03/√50
Z = 11.792
Level of significance = 0.05
Z₀.₀₅ = 1.96
The required Z = 11.792 >1.96 at 0.05 significant level,null hypothesis is rejected and alternate hypothesis is accepted.
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1. What are the 3 conditions for a function to be continuous at xa? 2. the below. Discuss the continuity of function defined by graph 3. Does the functionf(x) = { ***
The three conditions for a function to be continuous at a point x=a are:
a) The function is defined at x=a.
b) The limit of the function as x approaches a exists.
c) The limit of the function as x approaches a is equal to the value of the function at x=a.
The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.
The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.
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Ramundo is shopping for a new pair of rollerblades. Roller World sells a pair of rollerblades for $94 regular price. Currently, the rollerblades are on sale for 15% off. Outdoor Adventures sells the same pair of rollerblades for $81.50 with no discount. The sales tax rate in Ramundo's city is 6%.
Part A
To get the better deal, Ramundo should buy the rollerblades from , 1 of 2.
Select Choice
.
Part B
In doing so, he will save , 2 of 2.
Select Choice
(after tax) over the other store.
Ramundo will get a better deal at Roller worlds.
This is a question of percentages.
Given that:-
Regular price of rollerblades at roller world = $ 94
Discount at rollerworld = 15 %
Price of rollerblades at Outdoor adventures = $ 81.50
Sales tax = 6 %
Price of rollerblades at roller world after discount = 94 - (15/100)*94 = 94 - 14.1 = $79.9
Price of rollerblades at roller world after sales tax = 79.9 + (6/100)*79.9 = 79.9 + 4.794 = $ 84.694
Price of rollerblades at outdoor adventures = $81.50
Price of rollerblades at roller world after sales tax = 81.50 + (6/100)*81.50 = 81.50 + 4.89 = $ 87.39
As,
$ 84.694 < $ 87.39
Ramundo will get a better deal at Roller worlds.
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The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H=f(t), where t is in minutes since the colfee was put on the counter. (a) Is f ′(t) positive or negative?
In order to determine whether f'(t), the derivative of the temperature function f(t), is positive or negative, we need more information about the specific function f(t). Without additional details or the form of the function, we cannot determine the sign of the derivative.
The derivative f'(t) represents the rate of change of the temperature with respect to time. If f'(t) is positive, it means the temperature is increasing over time. If f'(t) is negative, it means the temperature is decreasing over time. However, without knowing the specific form or characteristics of the function f(t) that describes the temperature, we cannot determine the sign of the derivative. The sign of the derivative depends on the behavior of the function, such as whether it is increasing or decreasing, concave up or concave down, or has any specific patterns or constraints. To determine whether f'(t) is positive or negative, we would need additional information about the function, such as its formula, behavior, or constraints.
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1. Lucy monitors the position of a large fish in the ocean with a depth finder. The device records the depth of the fish. Initially, the fish swims at a depth of 13.52 feet below sea level. Suddenly the fish rises 7.8 feet.
(a) What expression represents the position of the fish relative to sea level after it rises 7.8 feet?
(b) What is the position of the fish after it rises 7.8 feet relative to sea level? Show your work. Answer in a complete sentence.
(a) The numerical expression 13.52-7.8 = 5.72 represents the position of the fish relative to sea level after it rises 7.8 feet , and
(b) After rising 7.8 feet , the position of the fish will be 5.72 feet below the sea level .
In the question ,
it is given that
depth at which fish swims below the sea level = 13.52 feet
height that fish rises = 7.8 feet
Part(a)
Since the fish has risen 7.8 feet ,
hence 7.8 feet will be subtracted from the original depth ,
the equation becomes 13.52 - 7.8 = 5.72 .
Part(b)
The position of fish after it rises 7.8 feet is calculated using
= 13.52 - 7.8
Subtracting 7.8 from 13.52 we get
= 5.72
Therefore , (a) the numerical expression 13.52-7.8 = 5.72 represents the position of the fish relative to sea level after it rises 7.8 feet , and
(b) After rising 7.8 feet , the position of the fish will be 5.72 feet below the sea level .
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Help me!!! Please!!
Answer:
d. 12 m
General Formulas and Concepts:
Order of Operations: BPEMDAStan∅ = opposite over adjacentStep-by-step explanation:
Step 1: Identify
The drawing states that we are looking for the height of the tree.
h = unknown
horizontal length = 26
∅ = 24°
We will have to use tangent to solve for the missing length
Step 2: Solve for h
Substitute: tan24° = h/26Multiply both sides by 26: 26tan24° = hRewrite: h = 26tan24°Evaluate: h = 11.5759Answer:
11,576m. i think the answer is d
Step-by-step explanation:
have: cot 24° = \(\frac{26}{h}\)
=> h = \(\frac{26}{cot 24}= 11,576 (m)\)
Mr. Carr's French class is 49 minutes long. If the class starts at 12:22, then it ends at
Answer:
1:11
Step-by-step explanation:
Split the time so it's easier to add: 9 mins then 30 mins then 10 mins = 49 mins
(+9 mins) (+30 mins) (+10 mins)
_________________________________
12:22 12:31 1:01 1:11
which expression is equivalent to (1 tanθ)tan(2θ) for all values of θ for which (1 tanθ)tan(2θ) is defined?
The given expression of trigonometry is equivalent to cos(2θ).
What is trigonometric function ?trigonometry capability, in math, one of six capabilities (sine [sin], cosine [cos], digression [tan], cotangent [cot], secant [sec], and co-secant [csc]) that address proportions of sides of right triangles. These six geometrical capabilities comparable to a right triangle.
According to question:We have,
1 - tan^2(θ)/1 + tan^2(θ)
Use 1 + tan^2(θ) = sec^2(θ)
1 - tan^2(θ)/ sec^2(θ)
1/ sec^2(θ) - tan^2(θ)/sec^2(θ)
Use tan(θ) = sin(θ)/cos(θ)
cos^2(θ) - sin^2(θ)×cos^2(θ)/cos^2(θ)
cos^2(θ) - sin^2(θ)
Using sin^(θ) + cos^2(θ) = 1
cos^2(θ) - (1 - cos^2(θ))
2cos^2(θ) - 1
Here we have 2cos^2(θ) - 1 = cos(2θ)
Then, simplification of given expression is cos(2θ).
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Correct question:
which expression is equivalent to 1 - tan^2(θ)/1 + tan^2(θ) for all values of θ for which 1 - tan^2(θ)/1 + tan^2(θ) is defined?
Convert 19 miles to inches.
Answer:
1.204e+6
Step-by-step explanation:
Find the pair of numbers that will multiply to give you the bottom number and add to the top number
Answer:
4 and 3
4 and 5
4 and 6
3 and -8
-4 and -21
4 and 36
4 and -7
Step-by-step explanation:
1)
4 + 3 = 7
4 × 3 = 12
2)
4 + 5 = 9
4 × 5 = 20
3)
4 + 6 =10
4 × 6 = 24
4)
3 - 8 = -5
3 × (-8) = -24
5)
-4 - 21 = -25
-4 × (-21) = 84
6)
4 + 36 = 40
4 × 36 = 144
7)
4 - 7 = -3
4 × (-7) = -28
what is 7 2/4 as improper fraction
Answer:
30/4
Step-by-step explanation:
7 times 4 = 28
28+2=30
. A rectangular field is 80 meters long and 40 meters wide. Calculate the area of the field.
Answer:3200 m²
Step-by-step explanation: length times width so 80*40
Answer: 3,200 meters
Step-by-step explanation:
Area of a rectangle = length times width
A=lw
A=80(40)
A=3,200 meters
We wish to analyze the temperature during summer months for the northeaster part of the US proportion or mean
Answer:That would be mean
The mean is the average number. To get the average number you add up all of the numbers, then divide by how many numbers there are.
Select the correct answer.
Which function has zeros at -2, -1, and 4?
Answer: Option (4)
Step-by-step explanation:
We need factors of \((x+2), (x+1), (x-4)\)
Which statements are true about a triangular pyramid? Select 3 options. It has exactly two faces that are triangles. It has exactly three faces that are triangles. It has exactly four faces that are triangles. It has 4 vertices. It has 5 faces. It has 6 edges.
Answer:
(c) It has exactly four faces that are triangles
(d) It has 4 vertices
(f) It has 6 edges
Step-by-step explanation:
You want to identify 3 true statements about a triangular pyramid.
FigureAn image of a triangular pyramid is attached.
The base is one triangular face. Each of its three edges is the base of a lateral triangular face, so there are a total of 1+3 = 4 triangular faces.
The base triangle has 3 vertices. The lateral triangular faces meet at another vertex, for a total of 3+1 = 4 vertices.
The base triangle has 3 edges. Each of the 3 base vertices joins the fourth vertex with an additional edge, for a total of 3+3 = 6 edges.
A triangular pyramid has 4 faces, 4 vertices and 6 edges.
For which values of a the system has at least one solution: x≤7 x≥a urgent pls help now
Answer:
We have the system:
x ≤ 7
x ≥ a
Now we want to find the possible values of a such that the system has, at least, one solution.
First, we should look at the value of a where the system has only one solution:
We can write the 2 sets as:
a ≤ x
x ≥ 7
So, writing both together:
a ≤ x ≤ 7
if a is larger than 7, we do not have solutions.
then a = 7 gives:
7 ≤ x ≤ 7
Here the only solution is 7.
Now, if a is smaller than 7, for example 5, we have:
5 ≤ x ≤ 7
Now x can take different values, so we have a lot of solutions.
Then the restrictions for a, such that the system has at least one solution, is:
a ≤ 7.
Please help i need help please
Answer:
angle a
angle CAB
angle BAC
Find the height of a cone with a diameter of 12m whose volume is 226m3. Use 3. 14, and round your answer to nearest meter
The height of a cone with a diameter of 12m whose volume is 226m³ is 6 meters.
The formula for the volume of a cone is
V = (1/3) * π * r^2 * h
where V is the volume, r is the radius, h is the height, and π is approximately equal to 3.14.
We know the diameter of the cone is 12m, which means the radius is 6m.
We also know that the volume of the cone is 226m^3.
Substituting these values into the formula, we get:
226 = (1/3) * π * 6^2 * h
Simplifying:
226 = (1/3) * 3.14 * 36 * h
226 = 37.68h
h = 226/37.68
h ≈ 6
Therefore, the height of the cone is approximately 6 meters.
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again am sorry but does somebody know how to do this aswell?
Answer:
D is the correct answer !!!!!hope it helps you<3i need help answering these questions
Answer:
4=distributive property
5=subtraction property of equality
6=addition property of equality
7 = -11=x
8= x=11
7b-3b+4 please help me with this
Answer:
4b+4
Step-by-step explanation:
7b-3b = 4b and then you cant do anything with the four so your answer should be 4b+4!
Help me solve this problem
Answer:
Step-by-step explanation:
d = 65t
a) 65 is the speed of the car
b) t = 1.5 hours
d = 65*1.5 = 97.5 miles
c) d = 26 miles
\(t = \dfrac{26}{65}\)
t = 0.4 hours
School ends at 3:15 pm. The school provides after -school care for a maximum of 150 minutes after school ends. When is the latest time for pick up?
The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm
How can minutes be converted into hours?Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.
The time that school ends = 3:15 pm
The latest time for pick up after school care = 150 minutes after school ends
Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes
60 minutes = 1 hour
150 minutes = (1/60) × 150 = 2.5
The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm
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what is the solution set to the inequality - 3x + 2 > 17
lim x tends to a now find x^1/3-a^1/3/x^1/2-a^1/2
Answer: \(\frac{a}{3}-\frac{2}{3}-\frac{a}{2}\)
Step-by-step explanation:
\(\lim _{x\to \:a}\left(\frac{x^1}{3}-\frac{\frac{a^1}{3}}{\frac{x^1}{2}}-\frac{a^1}{2}\right)\)
\(=\frac{a^1}{3}-\frac{\frac{a^1}{3}}{\frac{a^1}{2}}-\frac{a^1}{2}\)
\(=\frac{a}{3}-\frac{2}{3}-\frac{a}{2}\)
6 squared = x-7(2x-3)
Answer: =−13x+21
Step-by-step explanation: Hope this help :D
Let's simplify step-by-step.
x−7(2x−3)
Distribute:
=x+(−7)(2x)+(−7)(−3)
=x+-14x+21
Combine Like Terms:
=x+−14x+21
=(x+−14x)+(21)
=−13x+21
how many cookie dough chunks are in the average pint of chocolate chip cookie dough?
Answer: 18-22
Step-by-step explanation:
The double-reciprocal transformation of the Michaelis-Menten equation, also called the Lineweaver- Burk plot, is given by
1/V_0 = K_m /(V_max[S]) + 1/V_max
To determine Km from a double-reciprocal plot, you would:
A) multiply the reciprocal of the x-axis intercept by -1.
B) multiply the reciprocal of the y-axis intercept by -1.
C) take the reciprocal of the x-axis intercept.
D) take the reciprocal of the y-axis intercept.
E) take the x-axis intercept, where V_0 = 1/2 V_max.
To determine Km from a double-reciprocal plot, you would choose option (A) which is to multiply the reciprocal of the x-axis intercept by -1.
In the double-reciprocal plot equation, the x-axis intercept is -1/Km, and the y-axis intercept is 1/Vmax. Therefore, if you take the reciprocal of the x-axis intercept, you get -Km, and multiplying it by -1 gives you Km.
This method is preferred because it is more accurate than estimating Km based on the position of the curve on the plot or by taking the x-axis intercept where V0 = 1/2 Vmax, which can be influenced by experimental error.
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