The algebraic expression is C(5) =2.5 * 5 + 1.4 and the total cost is $13.9
How to determine the total sales amount?From the question, the equation of the total sales amount is given as
Equation = 2.3q + 1.4
Where q represents the number of days
Rewrite as
Cost = 2.3q + 1.4
Express the equation as a cost function
So, we have the following representations
C(q) = 2.3q + 1.4
When the number of days is 5, we have
q = 5
Substitute the known values in the above equation So, we have the following equation
C(5) =2.5 * 5 + 1.4
Evaluate the products
C(5) = 12.5+ 1.4
Evaluate the sum
C(5) = 13.9
Hence, the total cost for the 5 days is $13.9
Read more about linear equations at
https://brainly.com/question/2030026
#SPJ1
The contrapositive of a conditional statement is "If an item is not worth five dimes, then it is not worth two quarters.”
What is the converse of the original statement?
The converse of the statement that says that If an item is not worth five dimes, then it is not worth two quarters is: If an item is worth five dimes it is worth two quarters.
What is the converse of a statement?By swapping the hypothesis and the conclusion, a statement can be made to mean the opposite. "If two lines don't intersect, then they are parallel" is the inverse of "If two lines overlap, then they are parallel." If q, then p is the opposite of "if p, then q."
The converse of a statement may not always have the same truth value as the original. For instance, "All mammals are tigers" is the polar opposite of "All tigers are mammals." This is undoubtedly untrue.
Read more on the converse of a statement here: https://brainly.com/question/1883980
#SPJ1
283x416 in algorithm
Answer:
120,000
Step-by-step explanation:
To estimate the product of 283 × 416, first round each number so that each number contains only 1 non zero digit.
In this case, we will round 283 to the nearest hundred and we will also round 416 to the nearest hundred. To round 283 to the nearest hundred, the number next to two is higher than 5 so we round up. 283 rounds to 300.
416 rounded to the nearest hundred is 400 because the digit to the right of 4 is less than 5 which means we round down. 416 rounds down to 400.
Now we have 300 × 400 which equals 120,000
This means that 283 x 416 is approximately 120,000.
1. (a) What does probability convey about an event's
occurrence? (b) What is the probability of a
random event based on?
a) In any given experiment or trial, there is a probability that either an event occurs or it does not. The probability of the occurrence of an event lies between 0 and 1.
The event E of a sample space S is said to have occurred if the outcome ω of the experiment is such that ω ∈ E. However if the outcome ω is such that, ω ∉ E we say that the event has not occurred.
Let us take the example of playing cards. Here the event E is drawing a face card. If you draw a king of spades, we say the event E has occurred. However, if you draw an eight of clubs, we say the event E has not occurred.
b) The probability of an event is equal to the events relative frequency in the population of possible events that can occur.
An event’s relative frequency is a number between 0 and 1, so the event’s probability is from 0 to 1.
For example, when someone says that the probability it raining today is high, you understand that they mean that there is a high chance that it will rain.
But what if someone says that the probability of something happening is very low? You understand that the person means that the event may not occur at all. In mathematics, we define probability in a similar sense.
What is Probability?
Probability is the measure of uncertainty of any event (any phenomenon happened or bound to happen).
What is event?
In probability, the set of outcomes from an experiment is known as an Event.
What is random events?
An event with a probability of occurrence determined by some probability distribution.
Learn more about Probability and Random events:
https://brainly.com/question/13604758
#SPJ1
The sum of 3 and four times a number
Answer:
-7
Step-by-step explanation:
What do you need to multiply the subtotal by in order to get the total?
Given: Subtotal: 42.00
Total: 45.99
Tax rate: 9.5%
Sales tax: $3.99
At a math convention, nine out of eleven people are bored by cable news. If there 122 at the convention who are not bored by cable news, then how many people at the convention are bored by cable news?
A total of 549 of people at the convention are bored by the cable news
How to determine the number of people at the convention that are bored?From the question, we have the following parameters that can be used in our computation:
Not bored = 122
Bored = 9/11 of the people
This means that
Not bored = 1 - Bored
So, we have
Not bored = 1 - 9/11
Evaluate
Not bored = 2/11
Recall that Not bored = 122
So, we have
2/11 * x = 122
Where x = the number of people
This gives
x = 122 * 11/2
Evaluate
x = 671
Recall that
Bored = 9/11 of the people
So, we have
Bored = 9/11 * 671
Evaluate
Bored = 549
Hence, the number of people at the convention that are bored is 549
Read more about proportions at
https://brainly.com/question/16828793
#SPJ1
Solve for s in terms of p, q, and r.
q= –spr
Answer:
[tex]\sf s =\dfrac{-q}{pr}[/tex]
Step-by-step explanation:
Solve for s:q = -spr
-spr = q
Isolate 's' by dividing both sides by (-pr).
[tex]\sf \dfrac{-spr}{-pr}=\dfrac{q}{-pr}\\\\\\ s = \dfrac{-q}{pr}[/tex]
you roll a six-sided die 20 times. what is the probability of having exactly 8 rolls land on a number greater than 4?
The probability of getting a number greater than 4 when the dice is rolled 20 times is 7.
The number on dice greater than 4 is 2 (that is 5 and 6 on dice) thus the probability of getting a number greater than 4 is
P = 2/6
P = 1/3
This is the probability if the dice were rolled once but if the dice were rolled 20 times thus the probability, in this case, needs to be multiplied by 20
P = 1/3*20
P = 6.66
equivalents to 7
For more information on probability kindly visit to
https://brainly.com/question/20312769
#SPJ4
A bowling alley charges $15 per game. Customers are also charged an additional $3 to rent bowling shoes.
Which statement is true, based on the given description?
The description shows a linear relationship, but not a proportional relationship.
The description shows a linear relationship and a proportional relationship.
The description does not show a linear relationship or a proportional relationship.
The description shows a proportional relationship, but not a linear relationship.
The statement that is true on the bowling alley charges and the additional cost for renting bowling shoes is The description shows a linear relationship, but not a proportional relationship.
What is a linear relationship?In a linear relationship, the values of the two variables can be drawn on a graph such that they form a line. There would often be a y-intercept and then a slope or a constant rate of change. In this case the constant rate of change is the $15 per game and the additional cost to rent bowling shoes is the y-intercept. This is therefore a linear relationship.
A proportional relationship would have a constant rate of change but there would be no y - intercept. As there is a y - intercept in this scenario, this is not proportional.
Find out more on linear relationships at https://brainly.com/question/13828699
#SPJ1
Answer: A: The description shows a linear relationship, but not a proportional relationship.
a shipment of 12 television sets contains 3 defective sets. in how many ways can a hotel purchase 5 of these sets and receive at least 2 of the defective sets?
The hotel can acquire 5 of these sets in 119/792 different ways and still expect to receive 2 of the defective sets.
Define the term combination?Combinations are mathematical operations that count the total number of possible configurations for a set of elements is when order of said selection is irrelevant.As per the stated question.
You can select five television from a possible twelve in the sample space.
To acquire at least 2 faulty, therefore:
¹²C₅ = 12!/(7!)(5!) =12*11*10*9*8/(5*4*3*2*1)
¹²C₅ = 11*9*8
Obtaining two or three defective items. (At least 2).
2 defective items are-
(³C₂)(⁹C₄) = 3*9*8*7*6/(4!)
(³C₂)(⁹C₄) =9*7 =63
Three defective items equal -
(³C₃)(⁸C₂) = 1*8*7/2!
(³C₃)(⁸C₂) = 56
Total defective items is 63+56= 119 ways.
Probability = 119/(11*9*8)
Probability = 119/792
Thus, a hotel can acquire 5 of these sets in 119/792 different ways and still expect to receive 2 of the flawed sets.
To know more about the combination, here
https://brainly.com/question/28065038
#SPJ4
valuerelative frequency 10.15 20.30 30.45 40.10 if there are a total of 40 data values, with what frequency does the data value 1 occur?
The frequency of data value 1 that is 10 will be 6 as "Dividing each frequency by the total number of data values gives the relative frequency. So multiplying the relative frequency by the total number of data values gives the frequency."
What is relative frequency?The proportion of outcomes where a specific event occurs to all trials, not in a hypothetical sample space but in a real experiment, is known as the empirical probability, relative frequency, or experimental probability of an event. The relative frequency is calculated by dividing each frequency by the total number of data values. Therefore, the frequency is calculated by multiplying the relative frequency by the total number of data values.
Here,
Value Relative frequency
10 0.15
20 0.30
30 0.45
40 0.10
data 1 value=10
Dividing each frequency by the total number of data values gives the relative frequency.
So, multiplying the relative frequency by the total number of data values gives the frequency.
40*0.15=6
Since "multiplying the relative frequency by the total number of data values gives the frequency," the frequency of the data value 1 that is 10 will be 6.
To know more about relative frequency,
https://brainly.com/question/16832475?referrer=searchResults
#SPJ4
Why can the absolute value function be written as a piecewise function?
It's because this requires two different processes or pieces, the absolute value function is an example of a piecewise function. A piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain.
when the repeating decimal $0.\overline{12}$ is expressed as a common fraction in lowest terms, what is the sum of its numerator and denominator?
The sum of the numerator and denominator of the decimal is found as 111.
Define the term common fraction?A fraction with an integer for both the numerator and denominator is referred to as a common fraction or vulgar fraction.A fraction with an integer for both the numerator and denominator is described to as a common fraction or vulgar fraction.A ratio can be named with a common fraction.Boys outnumber females in a class 4:3, or 4/3. 4/3 is a popular proportion.As for the given question;
The decimal number is given as;
0.12 bar
Decimal to fraction conversion
100(0.12 bar) = 12(0.12 bar)
99.(0.12bar) = 100(0.12bar) - (0.12 bar)
99.(0.12bar) = 12 × 0.12bar - 0.12bar
99.(0.12bar) = 12
0.12 bar = 12/99 (lowest fraction)
Thus, in the result the numerator is found as 12 and the denominator is found as 99.
Add = 12 + 99
Add = 111
Thus, the sum of the numerator and denominator of the decimal is found as 111.
To know more about the common fraction, here
https://brainly.com/question/16397507
#SPJ4
Please help desperately I don’t know this. Burt keeps honeybees on his farm. When he first started, here’s a six room beehive that held 40 pounds of honey. Now he uses a 30 for a beehive. It has the same ratio and frames to Honey as a smaller beehive.
How much money does birds new beehive hold?
The ratio of frames to honey is the same as in a smaller beehive. 200 pounds of honey can be found in Bert's new beehive.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given data:
Number of frame beehives = 6
Pound of honey = 40
Current Frame beehive = 30
The first step is to formulate an equation and then use the formulated equation to find the number of honey
E = 40 × 30 ÷ 6
E = 40 × 5
E = 200 honey
Therefore the number of honey is 200.
Learn more about the expression here:
brainly.com/question/28597916
#SPJ1
when using percentiles with normally distributed scores, differences between raw scores may be .
The percentile rank / score in the setting of statistics denotes the percentage of the population that falls below it when the data is organized in ascending order.
What is meant by normally distributed?The mean and standard deviation of a normal distribution are 0 and 1, correspondingly. It has a kurtosis of 3 and zero skew.Not every symmetrical distributions are normal, but all normal distributions are symmetrical.68.2% of observations would fall within +/- 1 standard deviation of a mean including all normal distributions, 95.4% will fall in +/- two standard deviations, and 99.7% will fall within +/- 3 different deviations.For the given question.
The difference in the percentiles and raw scores is-
When presented in ascending order in statistics, a percentile rank / score signifies the percentage of the population that drops below it. By translating the raw score into an analogous z-score through using empirical z-distribution table, the percentile for such a raw score may be established.To know more about the normally distributed, here
https://brainly.com/question/4079902
#SPJ4
please help
2/5÷2 3/4
2/5÷2 3/4
0.4 / 2.75
= 0.14545...
Please Help Me, I need an answer ASAP.
The measure of < BAP in the figure of the circle is 30 degrees
How to find < BAP< ACB covers same angle as < APB
therefore
< ACB = < BAP = 120
complete the line PB to form another radius. since radius of a circle are equal, an isosceles triangle is created
Isosceles triangle has a unique property of 2 equal equal sides and equal base angles. one of the angles of the isosceles triangle is < BAP
solving with the new triangle APB
< BAP = < PBA (base angles of isosceles triangle)
< BAP + < PBA + 120 = 180
2 < BAP = 180 - 120
2 < BAP = 60
< BAP = 30 degrees
Learn more about angles here:
https://brainly.com/question/29243360
#SPJ1
On a typing test, Warren has 8 errors for every 2 minutes he spends typing. How many minutes has Warren typed if he has 64 errors?
Answer:16 minutes
Step-by-step explanation:
64 errors / 8 errors = 8
8 x 2 minutes = 16 minutes
a frustum is made by removing a small cone from a similar large cone. The height of the small cone is quarter of the height of the large cone. Find the volume of the frustum.
Height of large cone =12
radius of large cone =6
The volume of a frustum is equal to 445.3785 cubic units.
How to calculate the volume of a cone?Mathematically, the volume of a cone can be calculated by using this formula:
Volume of a cone = 1/3 × πr²h
Where:
h represents the height of a cone.r represents the radius of a cone.For the volume of the large cone, we have the following:
Volume of large cone = 1/3 × πr²h
Volume of large cone = 1/3 × 3.142 × 6² × 12
Volume of large cone = 3.142 × 36 × 4
Volume of large cone = 452.448 cubic units.
Since the height of the small cone is quarter of the height of the large cone, we have:
Height of small cone = 1/4 × 12 = 3 units.
Radius of small cone = 12/18 = 3/2 = 1.5 units (similar triangles by AAA).
For the volume of the small cone, we have the following:
Volume of small cone = 1/3 × πr²h
Volume of small cone = 1/3 × 3.142 × 1.5² × 3
Volume of small cone = 3.142 × 2.25
Volume of small cone = 7.0695 cubic units.
Mathematically, we know that the volume of a frustum is made by subtracting the volume of a small cone from the volume of a similar large cone cone:
Volume of the frustum = Volume of large cone - Volume of small cone
Volume of the frustum = 452.448 - 7.0695
Volume of the frustum = 445.3785 cubic units.
Read more on volume of a frustum here: https://brainly.com/question/16775167
#SPJ1
- 6 000 frs for 3 years at 4% p.a.
- 2 000 frs for 2 years 3 months at 3% p.a.
Principal for 6000 frs for 3 years at 4% p.a. and 2000 frs for 2 years 3 months at 3% is 461.5 and 148.1.
Amount A = P(1+rt)
6000 = p(1+4*3)
6000 = p13
p = 6000/13
p = 461.5
Amount A = P(1+9/2*3)
2000 = P*27/2
P = 2000*2/27
P = 148.1
Therefore Principal for 6000 frs for 3 years at 4% p.a. and 2000 frs for 2 years 3 months at 3% is 461.5 and 148.1.
Learn more about the principal amount here:
https://brainly.com/question/27054498
#SPJ9
How many times larger is 9 x 10^5 than 5 x 10^3?? PLSSSSS HELP
Answer:
[tex]1.8 \times {10}^{2} = 180[/tex]
Step-by-step explanation:
[tex] \frac{9 \times {10}^{5} }{5 \times {10}^{3} } = \frac{9}{5} \times \frac{ {10}^{5} }{ {10}^{3} } = 1.8 \times {10}^{2} = 1.8 \times 100 = 180[/tex]
How to identify whether the word problem is about direct proportion, inverse proportion or partitive proportion?
The identification process of direct proportion, inverse proportion and partitive proportion is show below.
What is proportion?Proportion is comparison of things or magnitudes in terms of size, amount.
In direct proportion, when one quantity increase or decreases, the another quantity will also increase or decrease in the same ratio.
In inverse proportion, When one quantity increases, the another quantity decreases and vise versa.
Partitive proportion is when the division of a quantity into two or more equal or unequal parts.
To know more about Proportion on:
https://brainly.com/question/29474065
#SPJ1
A landscaper has 105 small shrubs to plant on the grounds of a park. he wants to plant the shrubs in equal groups. what different sized groups could he make
The different-sized groups are three groups of each size (35), five groups of each size (21), and seven groups of each size (15).
Given that;
A landscaper must plant 105 little bushes on a park's grounds. He intends to divide the bushes into equal groups.
We are asked to find what different-sized groups could a landscaper can make.
Here, we use Prime factorization;
Let,
∴ 105 = 3 * 5 * 7
From the above factors, we can find different groups as;
3 groups of each sized 35.
5 groups of each sized 21.
7 groups of each sized 15.
To learn more about Prime factorization click here:
brainly.com/question/10454590
#SPJ4
Select all of the following equation(s) that are quadratic in form. x4 – 6x2 – 27 = 0 3x4 = 2x 2(x + 5)4 + 2x2 + 5 = 0 6(2x + 4)2 = (2x + 4) + 2 6x4 = -x2 + 5 8x4 + 2x2 – 4x = 0
The equations that are quadratic in form include:
A. x⁴ – 6x²– 27 = 0
D. 6x⁴ = -x² + 5
E. 8x⁴ + 2x² – 4x = 0
What is a quadratic equation?A quadratic equation simply refers to the equation which is in an algebraic equation that is of the second degree.
It should be noted that a quadratic equation is in the form of ax² + bx + c = 0.
In this situation, a and b are the coefficients while c is the constant in the equation.
Therefore, based in the information given, the correct options are A, D, abd E.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
Answer:
The equations that are quadratic in form include:
A. x⁴ – 6x²– 27 = 0
D. 6x⁴ = -x² + 5
E. 8x⁴ + 2x² – 4x = 0
Step-by-step explanation:
Find x and m
Giving brainlist to fastest reply that’s correct! Also liking answers for trying to answer <3
Answer:
x=21, m<s=95
Step-by-step explanation:
85+5x-10=180
75+5x=180
5x=105
x=21
m<S= 5(21)-10
m<S= 105-10
m<s=95
At the 2004 athens olympics, the ration of canadas gold medals to greeces gold medals was 1:2. together,canada and greece won. 9 gold medals.how many did canada and greece win
The total number of medals won by Canada is 3 and Greece's 6,
Here we have to find the number of medals won by Canada and Greece.
The ratio of medals won by Canada and Greece is 1: 2.
The total number of medals won = is 9
The common number is x.
Medal won by Canada = x
Medal won by Greece = 2x
So we get the equation:
x + 2x = 9
3x = 9
x = 3
So the total medal won by Canada = 3
The total medal won by Greece = 2 × 3= 6
Therefore the number of medals won by Canada and Greece is 3 and 6 respectively.
To know more about the ratio and proportion refer to the link given below:
https://brainly.com/question/16180884
#SPJ4
Factor the expression using the GCF.
The expression $32z-48$ factored using the GCF is
The factor of the expression 32z - 48 will be 16 and (2z - 3). And the greatest common factor is 16.
What is the greatest common factor?Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).
The expression is given below.
⇒ 32z - 48
The expression can be rewritten as,
⇒ 32z - 48
⇒ 16 · 2z - 16 · 3
⇒ 16 (2z - 3)
The factor of the expression 32z - 48 will be 16 and (2z - 3). And the greatest common factor is 16.
More about the greatest common factor link is given below.
https://brainly.com/question/11221202
#SPJ1
Round 837 to 1 significant figure
Answer:
800
Step-by-step explanation:
we gotta go with the highest value to round since it’s only one sig fig
In order to round to 1 significance the remaining digit will marks as zero thus 837 to 1 significant figure will be 800.
How do round any digit?To round up or down tens place then we need to look at the unit place if it is less than 5 then we need to keep it as it and if it is greater than 5 then we need to round up the tens digit.
In order to round to a hundred, we need to look at the tens digit if it is less than 5 then we keep as it is and if it is 5 or greater than 5 then we will round up.
In order to round to 1 significance the remaining digit will mark as zero
As per the given,
837 Here, 1 significant figure is 8.
The ramainging digit = 3 and 7
Put 0 instant of 3 and 7
837 → 800
Hence "In order to round to 1 significance the remaining digit will marks as zero thus 837 to 1 significant figure will be 800".
To learn more about rounding a digit,
https://brainly.com/question/116595
#SPJ2
what is 5(-4)+(-6)+2(-2)
Answer:
-30
Step-by-step explanation:
Distribute
5 x -4= -20 2 x -2= -4
-20+(-6)+(-4)
Add together
-20 + -6= -26
-26 + (-4)
Add again
-26 + -4= -30
-30
How many terms are in the given expression?5x - 2
The number of terms in the expression 5x - 2 is 2
What is number of terms in a mathematical expression ?The number of terms in an expression or equation refers to the values separated by a mathematical operator. A mathematical operator could be
AdditionSubtractionMultiplicationDivision and so onThe terms can be like terms or unlike terms
The two terms given is separated by the subtraction operator and are both unlike terms
The first term 5x consist of
coefficient = 5variable = xThe second term is just a constant which is 2
Learn more on equations here:
https://brainly.com/question/29227857
#SPJ1
