70 percent of the guests at this hotel used the valet service.
To find the percentage of guests who used the valet service, we can follow these steps:
1. Add the number of guests who used the valet service (280) and those who used the public parking garage (120) to find the total number of guests with cars: 280 + 120 = 400 guests.
2. Divide the number of guests who used the valet service (280) by the total number of guests with cars (400).
3. Multiply the result by 100 to convert it into a percentage.
So, let's calculate the percentage:
(280 / 400) * 100 = 0.7 * 100 = 70%
Thus, 70% of the guests at this hotel used the valet service.
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The amount of time a certain brand of light bulb lasts is normally distribued with a mean of 900 hours and a standard deviation of 55 hours. Out of 720 freshly installed light bulbs in a new large building, how many would be expected to last between 800 hours and 1030 hours, to the nearest whole number?
Answer: 689
Step-by-step explanation:
What are four consecutive even integers if the first integer is −4?
Responses
−4, −3, −2, −1
negative 4 , negative 3 , negative 2 , negative 1,
−4, −5, −6, −7
negative 4 , negative 5 , negative 6 , negative 7,
−4, −2, 0, 2
negative 4 , negative 2 , 0, 2,
−4, −6, −8, −10
Negative 4 , negative 6 , negative 8 , negative 10.
What is integer?An integer is a whole number that can be either positive, negative, or zero. It is not a fraction, decimal, or a percentage. Integers are the basic building blocks of mathematics and are used to represent whole numbers in equations. They are also used in computer programming languages to represent whole numbers.
negative 4 , negative 3 , negative 2 , negative 1,
−4, −5, −6, −7
negative 4 , negative 5 , negative 6 , negative 7,
−4, −2, 0, 2
negative 4 , negative 2 , 0, 2,
−4, −6, −8, −10
negative 4 , negative 6 , negative 8 , negative 10.
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Greatest common factor for 5x^2, 10x^3, 6x^5
Answer:
x^2
Step-by-step explanation:
The greatest common factor of 5x^2, 10x^3, 6x^5:
For the numbers, there is no greatest common factor except for 1.
For the variables, the furthest we can go is x^2.
In conclusion, the greatest common factor of 5x^2, 10x^3, 6x^5 is x^2.
I really need to know the answer of this question
Answer:
Amir 20 Rita 45
Step-by-step explanation:
20/4=5
5*9=45
so this satisfices the ration 4:9
Answer:
Amir : 20 sweets and Rita : 45 sweets
Step-by-step explanation:
Rita has 25 more in all answers. to get the answer, this is to see which one : 4:9 ; 20:45.
we multiply 4 and 45 and 9 and 20. if we multiply them, both answers are 180. this means it is equal and that is the answer.
Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
18 x minus 15 = 72
50 x minus 25 = 72
18 x minus 9 = 72
3 (6 x minus 3) = 72
x = 4.5
Consider a process that makes high-end boards that get mounted
on skateboards. The process starts with a unit cost of $13 for the
first unit, i.e., c(1) = 13, and has a learning rate of LR = 0.90.
Wha
The estimated cost of producing the 15th unit is $10.30.
Given the following information about a process that makes high-end boards that get mounted on skateboards:Process starts with a unit cost of $13 for the first unit. Learning rate of LR = 0.90.
Solution :Let's use the learning curve formula to calculate the estimated cost of producing the 15th unit.C = a * N^b .Where:
C = cost per unit ,N = cumulative production volume, a = the unit cost of the first unit, b = log(LR) / log(2) = log(0.90) / log(2) = -0.152N = 15a = 13 (given)
Now, b = -0.152
Therefore ,C = 13 * (15)^(-0.152)C = 13 * 0.789C = 10.3 dollars.
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An online produce store sells roasted peanuts for $1.55 per pound and charges shipping fee of $0.25 per pound. What is the cost, C, of p pounds of peanuts?
а)C = 1.8+p
ь)C = 1.8p
c)C = 1.55p +0.25
d)C = 1.55 +0.25p
Answer: c)C=1.8p
Step-by-step explanation: Each pound of roasted peanuts cost $1.55. The shipping fee for each pound is $0.25. If you add them together, you will get $1.80. An example is if you did $1.8 x 5, you would get $9.00. 1.55 x 5 is $7.75 and 0.25 x 5 is 1.25 and if you add them, you will get $9.00
X Y
15 3
25 5
35 7
45 9
50 10
y =
Answer:
12,14,15
Step-by-step explanation:
Can anyone solve this question please
The ordered pair (1,7)belongs to some function,f(x). Explain why the ordered pair(8,1) cannot belong to the inverse of this function.
Answer:
Step-by-step explanation:
by definition : The inverse of a relation consisting of points of the form (x,y) is the set of points (y,x)
if (1,7) is a point belong to f(x), then the inverse has to be (7,1) not (8,1)
Ordered pair\((8, 1)\) cannot belong to the inverse of the given function because ordered pair \((7,1).\)belong to the inverse function of the given function.
What is inverse function?
" Inverse function is defined as when the domain and range of a function interchange with each other of the given function. It is represented by\(y = g(x)\)then its inverse is \(x = f(y)\)"
According to the question,
Given function,
Function\(f(x)\) with ordered pair \((1,7)\)
Domain of a function\(= 1\)
Range of a function \(= 7\)
As per the definition of inverse function,
Domain of inverse function \(= 7\)
Range of a inverse function \(= 1\)
Ordered pair\((7, 1)\) belongs to inverse of the given function.
Hence, ordered pair\((8, 1)\) cannot belong to the inverse of the given function.
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If you throw 3 dice, the probability of getting 3 sixes is 0.5%. The probability of getting no sixes is 57.9%. Find the probability of getting:
A) fewer than 3 sixes
B) at least 1 six
Answer:
A) 99.5%
B) 42.1%
Step-by-step explanation:
A) Since the probability of 3 sixes is 0.5%, the probability of less than 3 sixes (that is, zero, one, or two sixes) is 100% - 0.5%, or 99.5%
B ) Since the probability of no sixes is 57.9%, the probability of at least 1 six is 100% - 57.9%, or 42.1%
how do you think the following pairs of variables would be related? for example, do you think the more classes students skip, the better or worse their gpa is? for each of the following pairs of variables, select the option that best describes its correlation among typical stat100 students the correlation between the temperature in celsius and temperature in fahrenheit.
The correlation between temperature in Celsius and temperature in Fahrenheit is a perfect positive correlation.
The relationship between temperature in Celsius and temperature in Fahrenheit is a perfect positive correlation. This means that as one variable (temperature in Celsius) increases, the other variable (temperature in Fahrenheit) increases at the same rate.
The reason for this perfect positive correlation is that the two scales are directly proportional to each other, with the same slope and intercept. Specifically, the formula for converting Celsius to Fahrenheit is F = (9/5)C + 32, where F is the temperature in Fahrenheit and C is the temperature in Celsius.
Thus, any change in Celsius will result in an equivalent change in Fahrenheit. This correlation is observed among typical stat100 students, as well as in any other population where the two temperature scales are used.
Therefore, a perfect positive correlation exists between the temperature in Celsius and the temperature in Fahrenheit
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A line goes through the origin and the point (6, 14). The point (2, y) is also on the line. Calculate y and justify that your value is correct
Answer:
Step-by-step explanation:
The key here is knowing that the equation of the line that passes through these points is same
Thus having (6,14) and (0,0), the slope is as follows;
m = y2-y1/x2-x1 = 0-14/0-6 = -14/-6 = 7/3
Now we can use this slope here to get the value of y in the question
All we need to do is tie write the equation of the line for between the points (6,14) and (2,y)
That would be;
7/3 = y-14/1-6
7/3 = y-14/-5
cross multiply;
-35 = 3(y-14)
-35 = -3y + 42
-3y = -35-42
-3y= -77
y = -77/3
y = 77/3
Enter the value of the underlined digit.
6.53
The value of the underlined digit is
Cual es el dígito del 3
Answer:
hundredths
Step-by-step explanation:
what is
(-4) - 44 - (-1)
Answer:
(-4) - 44 - (-1)
= -4-44+1
=-47
Answer:
-47
Step-by-step explanation:
(-4) - 44 - (-1)
(-4) - 44 + 1
- 4 - 44 + 1
-48 + 1
-47
3. Simone's mom brought two 16-ounce containers of coleslaw. At the end of the
picnic, 13 of the containers of coleslaw remained. Simone's mom divided the
leftovers between the 12 teammates. How many ounces of coleslaw did each
teammate receive?
Answer:
13 containers of coleslaw
12 teammates
13÷12= 1,08 containers of coleslaw per teammate
the telephone lines serving an airline reservation office are all busy about 60% of the time. a if you are calling this office, what is the probability that you will complete your call on the first try? the second try? the third try? b if you and a friend must both complete calls to this office, what is the probability that a total of four tries will be necessary for both of you to get through?
The probability that a total of four tries will be necessary for both of you to get through is 0.1728.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty. A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
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If You Could Commit One Crime, What Would It Be?
Answer:
Grand Theft
Step-by-step explanation:
In a certain store, the regular price of a refrigerator is$600. How much money is saved by buying this refrigeratorat 20 percent off the regular price rather thanbuying it on sale at 10 percent off the regular pricewith an additional discount of 10 percent off the saleprice?(A) $6(B) $12(C) $24(D) $54(E) $60
Correct option is A. Money saved is ′ $6 ′ .
Given
Regular price of the refrigerator = $600
i) Buying the refrigerator at 20 percent off regular price
Final Discount in this case = 20% (Regular price of the refrigerator)
= 20 / 100 × 600
= $120
ii) Buying it on sale at 10 percent off regular price and an additional 10 percent off sale price
Discount for the sale = 10% (Regular price of the refrigerator)
= 10/100 × $600
= $60
Sale price of the refrigerator = Regular price of the refrigerator − Discount for sale
= $600 − $60
= $540
Final Discount in this case = 10% (Sale price of the refrigerator)
= 10/100 × $540
= $54
Money saved if we buy as (case−i) = (Final Discount in (case.i)) − (Final Discount in (case.ii))
= $60 − $54
= $6
Therefore, Money saved is ′ $6 ′ .
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PLEASE HELP ASAPPP
Laura placed a bucket of water in her garden. Over the course of a week, she watched the water evaporate and recorded the volume of water left in the bucket each day.
Laura found the linear model that best fit the data was V=5.00−0.25n, where n is the number of days since she first placed the bucket and V is the volume of water, in liters, remaining in the bucket. Drag and drop the answers to complete the sentence below.
0.25 ,4.75 ,5.00
According to the model, approximately (blank) liters of water evaporated from the bucket every day, and the bucket contained (blank) liters of water when Laura first placed it in the garden.
The table shows the heights of three different rock formations that Jeremy is considering. Rewrite the equation for the line of best fit. Then use the equation to predict how long it will take to climb and come back down the three rock formations. Type the correct answer in each box. Round your answers to the nearest hundredth.
Answer:
40
80
160
Step-by-step explanation:
How much grain can this container hold?
Answer:
953.78 in³
Step-by-step explanation:
Area of circle = πr²
The area of the base
= 3.14×(9÷2)²
= 63.585 in²
The capacity of the container
= 63.585×15
= 953.775 in³
Use digits to write four hundred seven million, six thousand, nine hundred sixty-two
Answer:
407,006,962
Step-by-step explanation:
407,006,962
write the equation in spherical coordinates. (a) x2 + y2 + z2 = 25
The equation in spherical coordinates is ρ = 5. This equation represents a sphere centered at the origin with a radius of 5 units in the ρ direction.
To write the equation \(x^2 + y^2 + z^2 = 25\) in spherical coordinates, we need to express x, y, and z in terms of the spherical coordinates (ρ, θ, φ).
In spherical coordinates, ρ represents the distance from the origin to the point, θ represents the azimuthal angle measured from the positive x-axis in the xy-plane, and φ represents the polar angle measured from the positive z-axis.
To transform the Cartesian coordinates (x, y, z) to spherical coordinates, we can use the following equations:
x = ρ sin(φ) cos(θ)
y = ρ sin(φ) sin(θ)
z = ρ cos(φ)
Now let's substitute these equations into the given equation:
\((x^2) + (y^2) + (z^2) = 25\)
(ρ sin(φ) cos(θ))² + (ρ sin(φ) sin(θ))² + (ρ cos(φ))² = 25
ρ² (sin²(φ) cos²(θ) + sin²(φ) sin²(θ) + cos²(φ)) = 25
ρ² (sin²(φ) (cos²(θ) + sin²(θ)) + cos²(φ)) = 25
ρ²(sin²(φ) + cos²(φ)) = 25
ρ²= 25
This simplifies to:
ρ = 5
Therefore, the equation in spherical coordinates is ρ = 5. This equation represents a sphere centered at the origin with a radius of 5 units in the ρ direction.
In spherical coordinates, the equation ρ = 5 describes all points that are at a distance of 5 units from the origin, regardless of the values of θ and φ.
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How do you find the slope on a graph?
Answer:
I am unsure of the specifics, I always used slope-intercept form.
Step-by-step explanation:
If there is a specific question you are struggling with try entering the problem in m-a-t-h-w-a-y. This always helps me.
5m 10m 4m what is the area of this
Answer: 200m^3
Step-by-step explanation:
Rectangular prism (Cuboid) formula - L * W * H Length × Width × Height
10m(5m)(4m) = 200m^3
Consider the following number line.
B
А
++
10
-5
0
5
What is the sign of B + A?
‼️‼️‼️‼️can someone pls explain and what’s the answer? pls:)‼️‼️‼️‼️‼️‼️
Answer:
4. B
(I'm not positive on what the answer to 5 is, so I won't guess bc I don't want u to get it wrong.)
Step-by-step explanation:
I know that the answer for 4 is B and I'll tell u why. B reads y = 1.5x
This means that when u multiply any number in the row marked "x" by 1.5 it should get the number that's right below it (in the "y" row).
This may sound confusing so let's add some context to it. When we chose the number 20 in the "x" row and multiply it by 1.5 the number we should get has to be 30 bc it's right below 20. In this case it IS so it is a true statement. Make sure to check the statement using different numbers from the row marked "x". (I already checked for u, but it's still a good tip to have )
HOWEVER, when we do a statement that does not correspond to the table
it will not give u a number that's below the row "x". If we use statement A, x = 1.5y that would mean that every number in row "y" should be the number on top of it (row "x") when multiplied by 1.5. This is a false statement bc 60 × 1.5 does not equal 40. If we keep trying with this statement, we will see that it's false. THE EQUATION THAT REPRESENTS THE DATA IN THE TABLE IS B.
Use a trigonomic ratio to find the value of x
The value of side x in of the right triangle is 4.8 unit.
What is the value of x?The figure is in the image is a right triangle.
Given that;
Angle θ = 40°Adjacent to angle θ = xOpposite to angle θ = 4To determine the value of x, we use trigonometric ratio
Tangent = Opposite / Adjacent
tan( 40 ) = 4 / x
x = 4 / tan( 40 )
x = 4.8
Therefore, the measure of side x is 4.8 units.
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Express as percent:
a. 1/3
b. 5.4
c. 0.32
Answer:
a. 33.3% (rounded off to 3 significant figures)
b. 540%
c. 32%
Choose the correct model from the list. You want to support the claim that more than 70% of students at De Anza college will transfer. 450 students will be sampled. One sample t test for mean Chi-square test of independence One Factor ANOVA Simple Linear Regression Matched Pairs t-test O One sample Z test of proportion
The correct model to support the claim that more than 70% of students at De Anza College will transfer is the One sample Z test of proportion.
To determine whether more than 70% of students at De Anza College will transfer, we need to compare the proportion of students who transfer in a sample to the claimed proportion of 70%. Since we have a sample size of 450 students, the One sample Z test of proportion is appropriate.
The One sample Z test of proportion is used to compare a sample proportion to a known or hypothesized proportion. In this case, the known or hypothesized proportion is 70%, and we want to test if the proportion in the sample is significantly greater than 70%. The test involves calculating the test statistic, which follows a standard normal distribution under the null hypothesis.
By conducting the One sample Z test of proportion on the sample of 450 students, we can calculate the test statistic and determine whether the proportion of students who transfer is significantly different from 70%. If the test statistic falls in the critical region, we can reject the null hypothesis and support the claim that more than 70% of students at De Anza College will transfer.
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