1. The Mean and Standard Deviation should be used by the restaurant manager to measure the volume of soap served in each cup per day.
2. To determine the most popular car type, the Highway officer should use the Mode.
3. To compute the yearly salary of all employees in a company, the researcher should use the Median and Quartiles.
4. The actuary should use the Mean and Standard Deviation to record the reported age at death of residents in the state.
5. To determine the most common gas price, the researcher should use Mode.
What is the mean?The mean is the average of a data set.
Standard deviations are squared variations from the mean.
What is the mode?The mode is the value with the most often common occurrence in a data set.
What are median and quartiles?The median is a division of a data set into a lower half and an upper half.
Quartiles represent middle values or the median.
The lower and upper quartiles are the middle values of the lower half and the upper half, respectively.
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how do u graph the solution y=2x-1 iready
Answer:
Step-by-step explanation:
y=mx+b
m= slope and b= y intercept
you'll start with a point on the y axis on -1
and the slope will go up so towards the right corner up but 2/1 points
Graph the data in the table
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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hi! Can someone please help me out? Thank you so much :) I’ll give brainly. Question is in image
Answer:
d) 189.3 in²
Step-by-step explanation:
Area of rectangle is,
→ w × l
→ 10 × 15
→ 150 in²
Area of semi circle is,
→ (1/2)πr²
→ (1/2) × 3.14 × (5)²
→ 1.57 × 25
→ 39.3 in²
Now the total area will be,
→ 150 + 39
→ 189.3 in²
Thus, total area is 189.3 in².
The graph of a square root function has a domain of (0, ∞) and range of [1,∞). In two or more complete sentences, explain how the given range of the function can help you to the maximum or minimum y-value of the function.
Answer:
As per given domain and range we can conclude that:
The function has positive domain only, since x = (0, ∞).The function has minimum value of 1 and no maximum value, since y = [1, ∞)Here
\(\\ \sf\longmapsto Domain=(0,\infty)\)
\(\\ \sf\longmapsto Range=(1,\infty)\)
The function has positive integral values as it lies in 1st Quadrant
\(\\ \sf\longmapsto (x,y)=(1,\infty)\)
It has minimum value 1It has infinite or no maximum valuesConstruct one table that includes relative frequencies based on the frequency distributions shown below, then compare the amounts of tar in nonfiltered and filtered cigarettes. Do the cigarette filters appear to be effective? (Hint: The filters reduce the amount of tar ingested by the smoker.)
Based on the relative frequency table that compares nonfiltered and filtered cigarettes, we can infer that cigarette filters are effective because they reduce larger tar amounts.
How can the relative frequency table be drawn?Tar (mg) Relative Frequency Relative Frequency
(nonfiltered) (filtered)
6 - 11 0/ 25 = 0% 1 / 25 = 4%
12 - 17 0/ 25 = 0% 1 / 25 = 4%
18 - 23 2/ 25 = 8% 5 / 25 = 20%
24 - 29 1/ 25 = 4% 18 / 25 = 72%
30 - 35 13/ 25 = 52% 0 / 25 = 0%
36 - 41 6/ 25 = 24% 0 / 25 = 0%
42 - 47 3 / 25 = 12% 0 / 25 = 0%
Total 25 / 25 = 100% 25 / 25 = 100%
From the table, we can see that the unfiltered cigarette has higher tar amounts which means that cigarette filters are effective in reducing tar content.
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describe the end behavior of the function y=-x^2+4
The end behaviour of the function \(y = -x^{2} + 4\) is
f(x) → −∞, as x → −∞
f(x) → −∞, as x → +∞
The degree of the function is even, and the leading coefficient is negative.
End behaviour of a function:
A polynomial function's final behaviour is how its graph behaves as x gets closer to positive or negative infinity.
The graph's final behaviour is determined by a polynomial function's degree and leading coefficient.
For very big or very small values, the leading coefficient is more important than the other function coefficients. Therefore, it is sufficient to forecast the function's final behaviour based on the sign of the leading coefficient.
To predict the end-behaviour of a polynomial function, first check whether the function is odd-degree or even-degree function and whether the leading coefficient is positive or negative.
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Solve for x 2x+3-4=10
Answer:
x = 5.5
Step-by-step explanation:
2x + 3 - 4 = 10
2x - 1 = 10
2x = 11
x = 5.5
Let's check
2(5.5) + 3 - 4 = 10
11 + 3 - 4 = 10
14 - 4 = 10
10 = 10
So, x = 5.5 is the correct answer.
Answer: x = 5.5
Step-by-step explanation:
To solve, we will isolate the variable x.
Given:
2x + 3 - 4 = 10
Combine like terms on the left side:
2x - 1 = 10
Add 1 to both sides of the equation:
2x = 11
Divide both sides of the equation by 2:
x = 5.5
What is the midpoint of P(-3,-7) and Q(3,-5)
Answer: See Screenshot
Step-by-step explanation:
Plz solve this its urgent
Options are 6cm
3cm
1.5cm
ΔPQR has: PM is a median
So: MR = QM = 3 cm
ANSWER: MR = 3 cm
Ok done. Thank to me :>
Y=×
Shift left 2 units
The equation of the shifted line is y = x + 2
How to determine the transformationFrom the question, we have the following parameters that can be used in our computation:
y = x
Shift left 2 units
To shift the equation y = x to the left by 2 units, we can replace x with (x + 2) in the equation.
i.e. (x. y) = (x + 2, y)
So, we have the new equation to be y = x + 2
This is the same line as the original equation but shifted 2 units to the left.
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two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
What is the probability of getting two heads if you flip two fair coins? answer as a simplified fraction
Answer: \(\frac{1}{4}\)
Step-by-step explanation:
use probability
the chances of you getting heads on a coin is 50% therefore, flipping two coins is just
\(\frac{1}{2} * \frac{1}{2}= \frac{1}{4}\)
Answer:
the probability of getting two heads is 1/4
Step-by-step explanation:
H = (HH) => n(H) = 1
n(S) = 4
P(E) = number of favourable outcomes/total number of outcomes = n(E) / n (S)
PH = n(H)/n(S)
= 1/4
What are some prime numbers?
Answer:
2,3,5,7,11
Step-by-step explanation:
2, 3, 5, 7, 11, 13; basically any number that has only two factors, one and itself.
What do all Quadrilaterals have in common?
Answer:
The number of edges
Step-by-step explanation:
quad means 4 so all quadrilaterls have 4 sides.
Which can be represented using the product (50) × (-5) ?
O saving $5 each day for 50 days
O a submarine rising by 50 feet each hour for 5 hours
O earning $50 each month for 5 months
O an airplane losing altitude by 5 feet each second for 50 seconds
Answer: D
Step-by-step explanation:
Lisa, Chau, and Austin served a total of 124 orders Monday at the school cafeteria. Chau served 8 fewer orders than Lisa. Austin served 4 times as many orders
as Lisa. How many orders did they each serve?
Answer:
Lisa: 22Chau: 14Austin: 88Step-by-step explanation:
The given relations can be used to describe each of the numbers in terms of how many Lisa served. Those can then be related by the total served.
__
setupLet L represent the number of orders Lisa served. Chau served 8 fewer, so (L -8). Austin served 4 times as many, so (4L). The total served was ...
L +(L -8) +4L = 124
solution6L = 132 . . . . . . . . add 8, combine terms
L = 22 . . . . . . . . divide by 6
L -8 = 22 -8 = 14 . . . the number Chau served
4L = 4(22) = 88 . . . the number Austin served
The numbers each served were ...
Lisa: 22Chau: 14Austin: 88Which problem can be solved by performing this multiplication?
3/4×8/9
Responses
Evan practiced piano this week for 3/4 hour. Last week he practice for8/9 hour. How much longer did Evan practice last week than this week?
Jada rode her bike 3/4 mile. Sarah rode her bike 8/9 the distance that Jada rode her bike. How far did Sarah ride her bike?
Amelie drove 3/4 mile. She then drove another 8/9 mile. How many miles did she drive in all?
Three out of 4 containers hold lemonade. Each container holds 8/9 quart of lemonade. How much lemonade do the containers all hold?
The multiplication 3/4×8/9 can be used to address the problem in response (B). which is the correct answer that would be an option (B).
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
As per option (B),
Jada rode her bike for 3/4 mile. Sarah rode her bike 8/9 the distance that Jada rode her bike.
Sarah rides her bike = Sarah rode (8/9) of the (3/4) that Jada rode.
Sarah rides her bike = 3/4 × 8/9
Therefore, this problem can be solved by performing the above multiplication.
Hence, the correct answer would be an option (B).
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Determine two coterminal angles in radian measure (one positive and one negative) for each angle.
The two coterminal angles in radian measure (one positive and one negative) for each angle for figure 1 and 2 are,[(13π/4),(-π/4) and [(7π/4),(-17π/4) rad] respectively.
What is coterminal angle ?Angles having the same terminal side at standard position are called coterminal angles.
Although the magnitudes of coterminal angles varies, they all have the same sides and vertices.
Positive or negative coterminal angles are possible. The positive coterminal is obtained by adding 2 rad or 360° to the negative coterminal, while the negative coterminal is obtained by removing 2 rad or 360°.
For figure 1;
The positive coterminal angle is found as;
\(\rm \rightarrow \theta + 2 \pi \\\\ \rightarrow \frac{5 \pi}{4} + 2 \pi \\\\ \rightarrow\frac{13 \pi}{4} \ rad\)
The negative coterminal angle is found as;
\(\rm \rightarrow \theta - 2 \pi \\\\ \rightarrow \frac{5 \pi}{4} - 2 \pi \\\\ \rightarrow\frac{-3 \pi}{4} \ rad\)
For figure 2;
The positive coterminal angle is found as;
\(\rm \rightarrow \theta + 2 \pi \\\\ \rightarrow \frac{-9\pi}{4} + 2 \pi \\\\ \rightarrow\frac{7 \pi}{4} \ rad\)
The negative coterminal angle is found as;
\(\rm \rightarrow \theta - 2 \pi \\\\ \rightarrow \frac{-9 \pi}{4} - 2 \pi \\\\ \rightarrow\frac{-17 \pi}{4} \ rad\)
Hence,the two coterminal angles in radian measure (one positive and one negative) for each angle for figure 1 and 2 are,[(13π/4),(-π/4) and [(7π/4),(-17π/4)] respectively.
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How do you write 6,000,000,000 in scientific notation
Answer:
6.0 x 10^9
Step-by-step explanation:
Move decimal 9 places to the right:
6.000,000,000
represent the 0's as 10^9 (9 is the number of Zeros)
So, final answer is 6.0 x 10^9
im pretty sure its 6×10^9
A rectangle has an area of 352 ft2 and a width of 11 ft. What is
its length?
Answer:
The length of the rectangle is 32 feet.
Step-by-step explanation:
The area of a rectangle is found by length × width.
So to use the area to find the length, you divide it by the width.
352 ÷ 11 = 32
hope this helps :)
Help with math problems
The inverse of the function will be f⁻¹(y) = y + 1.
What is the inverse of the function?A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y.
The given function is y = x - 1.
To find the inverse of this function, we need to solve for x in terms of y.
y = x - 1
Adding 1 to both sides, we get:
y + 1 = x
Therefore, the inverse function is:
x = y + 1
f⁻¹(y) = y + 1
Note that the inverse function represents the reflection of the original function across the line y = x.
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how many squared yards ?
Answer:
86
Step-by-step explanation:
the square is 7×8 = 56
the triangles: (3,5×8)/2 = 28/2 = 15
56+15+15 = 86
find the missing angle
Answer:
? = 77°
Step-by-step explanation:
the 3 angles in a triangle sum to 180° , that is
? + 35° + 68° = 180°
? + 103° = 180° ( subtract 103° from both sides )
? = 77°
Answer:77
Step-by-step explanation:
180-103=77
Find the value of x needed to make the equation true.
Answer:
x = -3
Step-by-step explanation:
We know that,
\(\sf a^x*a^y=a^{x+y}\\\\(a^x)^y=a^{xy}\\\\\frac{a^x}{a^y} =a^{(x-y)}\)
Accordingly,
\(\sf \frac{(7^{10})^2}{7^4} =\frac{7^9*7^{10}}{7^x} \\\\\sf \frac{7^{10*2}}{7^4} =\frac{7^{9+10}}{7^x} \\\\\sf \frac{7^{20}}{7^4} =\frac{7^{19}}{7^x}\\\\7^{20-4}=7^{(19-x)}\\\\16=19-x\\\\16-19=x\\\\-3 =x\)
The evaluation of 2563/4 is
Answer:
640.75
Step-by-step explanation:
2563/4 = 640\(\frac{3}{4}\) = 640.75
Answer:
the result of 2563/4 is 641 with a remainder of 3. We can also express this as a mixed number:
2563/4 = 640 3/4
Find the volume !!!!!!
Solve for x.&X-3 / 4X+3.--8x 4xWhen angles form a linear pair, their sum is 180°.8x – 3 + 4x + 3 = 18012x + 0 = 18012x = 180Hint: Divide both sides ofthe equation by 12 to solve x = [?]for the final value of x.-
ANSWER
x = 15
EXPLANATION
To solve the final step of this equation, we have to divide both sides of the equation by 12:
\(\begin{gathered} \frac{12x}{12}=\frac{180}{12} \\ x=15 \end{gathered}\)So the solution is
helppppppppppppppppmeeeeeeeeeeeeeeeeeeee
Answer:
hope this answer helps you dear...take care!
solve for x x/3+5=5
x=
Answer:
x=15
Step-by-step explanation:
(I had this question on a test my teacher told me my answer)
lol hope it helps you and/or others :))