Answer:
2830.6875 hours of sleep per year (7.45 should be 7.75)
Step-by-step explanation:
To find your average sleep per year, you need to covert avg hours per day, to days per year.
Note that 45 minutes is not equivalent to .45 hours, but actually .75 hours since there are only 60 minutes in an hour. ( 45 / 60 == .75 )
Simply, the amount of days per year is 365.25 (to account for leap years).
So perform this calculation:
(7.75 hrs / day ) * ( 365.25 days / year ) == 2830.6875 hrs / year
Meaning, on average you get 2830.6875 hours of sleep per year.
Which of the following is most likely the next step in the series?
Answer:
Option (c)
Step-by-step explanation:
From the diagram attached,
First circle has 4 points on its circumference. By joining these points we get a quadrilateral inside the circle.
Second circle has 3 on its circumference. By joining these points we get a triangle inscribed in the circle.
In 3rd circle points on the circumference have been reduced again to 2. By joining these points we get a straight line.
Following the same pattern in the 4th circle we will get a single point on the circumference of the circle.
Therefore, Option (c) will be the answer.
The following are the means and standard deviations of some well-known standardized tests, referred to as Test A, Test B, and Test C. All three yield normal distributions.
Test Mean Standard deviation
Test A 500 100
Test B 150 8
Test C 70 15
Required:
a. A score of 450 on Test A corresponds to what score on Test B?
b. A score of 625 on Test A corresponds to what score on Test C?
Answer:
(a) A score of 450 on Test A corresponds to a score of 146 on Test B.
(b) A score of 625 on Test A corresponds to a score of 88.75 on Test C.
Step-by-step explanation:
We are given the means and standard deviations of some well-known standardized tests referred to as Test A, Test B, and Test C. All three yield normal distributions.
Test Mean Standard deviation
Test A 500 100
Test B 150 8
Test C 70 15
So, [tex]\mu_A[/tex] = 500 and [tex]\sigma_A[/tex] = 100
[tex]\mu_B[/tex] = 150 and [tex]\sigma_B[/tex] = 8
[tex]\mu_C[/tex] = 70 and [tex]\sigma_C[/tex] = 15
(a) We have to find a score of 450 on Test A corresponds to what score on Test B.
For this, firstly we will find the z-score for a score on Test A and then equate with that of Test B.
z-score of 450 on test A = [tex]\frac{X_A-\mu_A}{\sigma_A}[/tex]
= [tex]\frac{450-500}{100}[/tex] = -0.5
So, this z-score corresponds to the score on test B, i.e;
z-score on test B = [tex]\frac{X_B-\mu_B}{\sigma_B}[/tex]
-0.5 = [tex]\frac{X_B-150}{8}[/tex]
[tex]X_B= 150-(0.5 \times 8)[/tex]
= 150 - 4 = 146
Hence, a score of 450 on Test A corresponds to a score of 146 on Test B.
(b) We have to find a score of 625 on Test A corresponds to what score on Test C.
For this, firstly we will find the z-score for a score on Test A and then equate with that of Test C.
z-score of 625 on test A = [tex]\frac{X_A-\mu_A}{\sigma_A}[/tex]
= [tex]\frac{625-500}{100}[/tex] = 1.25
So, this z-score corresponds to the score on test C, i.e;
z-score on test C = [tex]\frac{X_C-\mu_C}{\sigma_C}[/tex]
1.25 = [tex]\frac{X_C-70}{15}[/tex]
[tex]X_C= 70+(1.25 \times 15)[/tex]
= 70 + 18.75 = 88.75
Hence, a score of 625 on Test A corresponds to a score of 88.75 on Test C.
Tara looks up hotel room prices for a holiday. A hotel has a 25% off sale on its prices. A VAT charge of 20% must be added on at the end of the transaction after any discount. If the regular price of a room is £160 per night, how much will Tara pay for 7 nights?
Answer:
$1008Step-by-step explanation:
We begin by calculating the amount after the 25% discount
= regular price*0.75
=£160*0.75
=$120
We then continue by calculating the the amount that must be paid when 20% VAT is added
= 120*1.20
= $144
Now Tara is going to spend 7 nights
Hence she will have to pay
144*7= $1008
Breanna has $150 and she needs to save at least $560 for spring break trip if she can save $45 per week how long will it take her to save enough money let W equals weeks saving money right and in quality to
Answer: It will take her more than 9 weeks.
Step-by-step explanation:
If she already has $150 that will be constant and if she can save $45 per week the we will have the expression 45w where w is the number of weeks.
Together it will be 150 + 45w
Now the money has to be at least $560 so it will be
150 + 45w ≥ 560 Now solve for w
-150 -150
45w ≥ 410
w ≥ 9.1
Which means it will take 10 or more weeks t
Write an algebraic expression that models the word phrase.
The product of 8 and the sum of a number x and 14
Answer:
8(x + 14)
Step-by-step explanation:
The term product signifies multiplication in mathematics. However, in order to find a product, we must have two or more terms to multiply. Because we are finding the product of 8 and the sum of a number x and 14, we will place the sum in parentheses to show they are being added together.
Using this knowledge, we are left with the sum in parentheses (x + 14) and the number 8 to multiply it.
To simplify, this can be written as 8(x + 14).
what is ml if the volume is 48cm cubic
Answer:
48 ml
Step-by-step explanation:
1 cubic centimeter is equal to 1 milliliter
Answer:
48ml
Step-by-step explanation:
1 cm³ = 1 ml
so,
48 cm³ = 48 ml
16) 14x-9y= -25
7x-y=-30
Answer:
Step-by-step explanation:
14x - 9y = -25
-14x + 2y = 60
-7y = 35
y = -5
7x + 5 = - 30
7x = - 35
x = -5
(-5, -5)
Lilianna discovered that the ratio of kilometers to miles is 1 to 0.6 if its 60 kilometers to Moncton then how many miles does it take to get to Moncton.
Answer: 36 miles.
Step-by-step explanation: Ratio of 1 to 0.6 means 1:0.6 or [tex]\frac{1}{0.6}[/tex].
So, if to Moncton is 60km:
[tex]\frac{1}{0.6}=\frac{60}{y}[/tex]
[tex]y=60.0.6[/tex]
y = 36
To Moncton, it is 36 miles.
What is the algebraic notation of a figure is Translated 6 units left and 5 units up?
Group of answer choices
(x, y) --> (x + 5, y - 6)
(x, y) --> (6x, 5y)
(x, y) --> (x + 6, y + 5)
(x, y) --> (x - 6, y + 5)
I need a step by step, please
I hope this helps you
5/6=x-10/3x+6 solution?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 10}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{5}{6} = \frac{x - 10}{3x + 6} }[/tex]
Apply cross product property
⇒[tex] \sf{5(3x + 6) = 6( x - 10)}[/tex]
Distribute 5 through the parentheses
⇒[tex] \sf{15x + 30 = 6( x - 10)}[/tex]
Distribute 6 through the parentheses
⇒[tex] \sf{15x + 30 = 6x - 60}[/tex]
Move 6x to left hand side and change it's sign
⇒[tex] \sf{15x - 6x + 30 = - 60}[/tex]
Collect like terms
⇒[tex] \sf{9x + 30 = - 60}[/tex]
Move 30 to right hand side and change it's sign
⇒[tex] \sf{9x = - 60 - 30}[/tex]
Calculate
⇒[tex] \sf{9x = - 90}[/tex]
Divide both sides of the equation by 9
⇒[tex] \sf{ \frac{9x}{9} = \frac{ - 90}{9} }[/tex]
Calculate
⇒[tex] \sf{x = - 10}[/tex]
Hope I helped!
Best regards!!
How 17 | 12. The Mad hatter is stocking up on tea for his
unbirthday parties. The market sells 5 boxes of tea
for $66 At this rate, how many boxes of tea can he
buy with $30?
Answer:
About 2.3 boxes of tea
Step-by-step explanation:
If we divide the price by the number of boxes, in this case, 66 / 5 we would get 13.2. So the means that each box would cost $13.20. So if we divide 30 by the cost of each box we would get approximately 2.3 boxes of tea. Hope this helps :)
In a class the ratio of boys to girls is 2: 1. There are 8 girls.
Work out the number of boys
((7, 6), (0,-1), (-7, -1), (-3, 2), (-5, 3) } Domain. Range
MONEY Mrs. Rockwell lost money on
an investment at a rate of $4 per day.
Describe the change in her investment
after two weeks.
Answer:
the answer is $56
Step-by-step explanation:
2 weeks = 14 days
14 (days) x $4 (per day) = 56
the change over 2 weeks is $56
Step-by-step explanation:2 weeks = 14 days
14 (days) x $4 (per day) = 56
ANSWER: $56
I need help on number 2 I don’t understand it. it says what operation is indicated by the expression. A-d they are
A. 4y
B. 7/d
C. t+8
D. 3+t
I would really appreciate it it if someone would help me
Greetings from Brasil...
Here are the operations found:
4y = 4 · y → multiplication of 4 by y
7/d = 7 ÷ d → 7 by d division
t + 8 → sum of t with 8
3 + t → sum of 3 with t
31 km
9 km find the area of the triangle
if f(x) and f-1(x) are inverse functions of each other and f(x) = 2x + 5, what is f-1(8)?
Answer: 3/2
Step-by-step explanation:
help with all please
Answer:
13. 68
14. y = 0.50x + 8
15. y = 25x - 15
16. y = 7x - 1
17. [tex]a_n = 4 + 6(n-1)[/tex]
Step-by-step explanation:
13. f(3) means plug in 3 for x.
f(3) = 7(3)² + 5 = 7(9) + 5 = 63 + 5 = 68
14. Write out what you know. 0.50 inches per hour is the rate of snowfall, or your m, or your slope. m = 0.50. If x is hours passed and y is inches of snowfall, then you also know that at x = 4, y is 10. Plug these into the standard linear formula: y = mx + b => 10 = 0.50(4) + b
Solve for b:
10 = 0.50(4) + b
10 = 2 + b
b = 8
Remember, x and y are variables, not constants, but m and b are always the same for some given function. So your answer is y = 0.50x + 8
15. Write out what you know. If x is hours passed and y is distance from home in miles, then we need to find the slope and y-intercept using what you're given. How do you find the slope? Use this: [tex]m (or slope) = \frac{y_2 - y_1}{x_2 - x_1}[/tex].
You have two points given: (3, 60) and (7, 160). So [tex]m = \frac{160-60}{7-3} = \frac{100}{4} = 25[/tex]
Now, just use either of these points to find b, or your y-intercept.
y = mx + b
Let's just use (3, 60); either one would work though.
[tex]60 = 25(3) + b[/tex]
60 = 75 + b
b = -15
To make the equation, use the values for m and b that you found.
m = 25 and b = -15, so y = 25x - 15
16. In y = mx + b, b is the y-intercept, but it's also how much the graph shifts up or down from its "original" position. I don't really want to explain this, but you can experiment with y = x + something (like try y = x + 1, y = x - 1, y = x, y = x + 3) and you'll see the pattern of what I'm talking about. To move y = 7x + 3 down 4 units, just subtract 4 from 3 to get -1: you will get y = 7x - 1.
17. sorry I hope someone else gives u an explanation I'm kind of bored with these
What is the distance between 7.65 and -4.18 on a number line
Answer:
11.83
Step-by-step explanation:
11.83 because you would add them to find distance and 7.65+4.18=11.83
The required distance on the number line between the points -4.18 and 7.65 is 11.83
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Given that, the distance between 7.65 and -4.18 on a number line
On the number line, -4.18 lies on the left of the zero, and 7.65 lies on the right, so the required distance would be the addition of the two points. So,
Distance = 7.65 - (-4.18)
Distance = 7.65+4.18
Distance = 11.83
Thus, the required distance on the number line between the points -1.85 and 7.36 is 9.21.
Learn more about number line here:
brainly.com/question/17683084
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The The U.S.based motorcycle manufacturer says that it expects to build 140,000 motorcycles this year, up from 126.000 last year. Find the percent of increase in production.
Answer:
The us based motorcycle manufacturer says that it expects to build 140,000 motorcycles this year up from 126,000 last year.
This means the increased production is
144,000 - 126,000 = 18,000
The percentage change in production can
be found using the formula as listed below
PERCENTAGE INCREASE = change / initial × 100
Substitute the values we get
18,000/126,000 × 100
14.28 = percentage increase
A sampling frame a. is a list of population elements from which the sample will be drawn. b. is the list of population elements actually included in the sample. c. usually provides biased statistics. d. is a form of probability sampling.
Answer:
A. is a list of population elements from which the sample will be drawnStep-by-step explanation:
Sampling frame is the list of people or items from which a sample is taken.
Sampling is used because it is almost impossible to study entire population. Sampling allows us to find information about a population on the basis of results from a subset of the population, without studying every individual. It is easier and cost effective process.
A sampling frame refers to A. a list of population elements from which the sample will be drawn.
Sampling frame simply means the actual set of units from where the sample will be drawn.A sampling frame consists of all the items that are in the population. Therefore, a sampling frame is a list of population elements from which the sample will be drawn.Read related link on:
https://brainly.com/question/17412791
What type of number is v5?
A) Whole number
B) Integer
C) Rational
D) Irrational
Answer:
I'm pretty sure it's letter D
Step-by-step explanation:
The square root of 5 is irrational because a square root of a positive number is either an integer or irrational, and seeing that the square root of five is most definitely not a whole number, it is irrational.
the sum of two rational number is minus 4 by know if one of them is 13 by 6 them find the other
Answer:
the sum of two rational number is minus 4 by know if one of them is 13 by 6 them find the other
Step-by-step explanation:
let the second rational no. be x
then a/q,
13/6 + x = -4/9
x = -4/9 - 13/6
x = (-16 - 78)/36
x = - 94/36 or -47/18
x = -2.61111
stephanie has a recipe that calls for 2/3 tablespoons of vanilla to make 3 1/2 dozen cookies
Answer:
4/21 tablespoons of vanilla
Step-by-step explanation:
Let's have the ratios:
2/3 tablespoons of vanilla per 3 1/2 dozen cookiesx tablespoons of vanilla per 1 dozen of cookiesIt is solved by cross multiplication as:
2/3 × 1 = 3 1/2 × x2/3 = 7/2xx = 2/3 ÷ 7/2x = 2/3 × 2/7x = 4/214/21 tablespoons of vanilla needed for 1 dozen of cookies
what is the standard notation for the distance of 2.4x10^5 miles
Answer:
240,000
Step-by-step explanation:
You have to add 4 zeros to the answer and remove the decimal point to get the answer.
If you liked this answer please mark "Brainliest".
WILL GIVE BRAINLIEST Pump it Up gym's daily revenue each can be modeled by R(x) = 5x where x represents the number of customers that visit the gym each day. The gym's daily costs can be modeled by the function C(x) = 2x + 150. Find the profit function P(x) if: P(x) = R(x) - C(x) P(x) = 7x +150 P(x) = 7x - 150 P(x) = 3x - 150 P(x) = 3x +150
Answer:
P(x) = 3x - 150
Step-by-step explanation:
Step-by-step explanation:
P(x) = R(x) - C(x)
Given:
R(x) = 5x
C(x) = 2x + 150
P(x) = 5x -(2x+150)
P(x) = 5x - 2x -150
P(x) = 3x - 150 <- Answer
Answer:
The profit function is P(x) = 3x-150
Step-by-step explanation:
Reason is R(x) = 5x
C(x)= 2x + 150
Plugin to P(x) = R(x) - C(x)
P(x) = 5x - (2x+150)
P(x) = 5x - 2x-150
P(x) = 3x-150
Hope this helps!
(pls mark brainliest)
The function f(x) = 2.5x + 75 is used to model the cost
of renting billboard space depending on the area, in
square feet, of the billboard, x, and including a standard
layout fee. The mathematical range for the function is
the set of real numbers
Which statement describes how the reasonable range
differs from the mathematical range?
a. The reasonable range contains only integers.
b. The reasonable range contains only positive rational
numbers
c. The reasonable range contains only integers greater
than 75
d. The reasonable range contains only positive rational
numbers greater than 75
A solid cubiod measures 7cm, 5cm,3cm. (a) Calculate the total surface area of the cubiod. (b) A cube has the same volume as the cubiod. Calculate the length of an edge of this cube
Answer:
Te total surface area (TSA) of the cuboid is the sum of the area of its 6 faces
if the cuboid has width(w)=7 cm, Height (h)=3cm., length(h)=5cm
A=lw=5*7=35 cm²
A2=hw=3*7=21
A3=lh=5*3=15
TSA=2(lw+hw+lh)
TSA=2(35+21+15)
TSA=2(71)=142cm²
volume of the cubiod=l*w*h
V=lhw
V=7*5*3= 105 cm³
the length of an edge of this cube:
since it is a cube then all sides are equal l=w=h
√105= 10.247 ( rounded to the nearest hundredth)
Please help me i dont understand this question will mark brainlest
Answer:
6
Step-by-step explanation:
M is midpoint of LN, so 3x = 2x + 2
3x = 2x + 2
3x - 2x = 2x + 2 - 2x
x = 2
LM is = 3x, so it's 3.2 = 6 units
Hope this helps ^-^