Answer:
167 books.
Step-by-step explanation:
30% = 50 books
1% = 50/30
100% = (50/30) * 100
= 167 books.
5. PA license plates have 3 letters followed by 4 numbers.
a. If the same letter or number can be repeated, how many can be made?
b. If the same letter CANNOT be repeated, how many can be made?
Answer:
A. 175,760,000
B. 156,000,000
Step-by-step explanation:
For part A:
There are 26 letters in the alphabet. Therefore, if there are 3 spots to use 26 letters, that is represented as [tex]26^3[/tex]. As for numbers, there are 10 digits from 0-9. So if there are 4 spots for numbers, the total possible number of sequences is [tex]10^4[/tex]. So you simply multiply [tex]26^3[/tex] and [tex]10^4[/tex] to get 175,760,000 possible combinations.
For part B:
If the same letter can't be repeated, instead of using an exponent, we have to use a factorial, but only for the 3 digits required in the license plate. These are called permutations and can be expressed as [tex]_2_6P_3[/tex], which is the same as saying 26 x 25 x 24. Since there is no change to number of numbers, that remains the same.
[tex]_2_6P_3 * 10^4 =26*25*24*10^4=156,000,000[/tex]
Paul can build a desk in 12
hours. Shawn can build the
same desk in 8 hours. How
long would it take them to
build it together?
[?] minutes
Answer:
288
Step-by-step explanation:
First, find how much of the desk each person can finish in 1 hour. Paul can finish 1/12 because he finishes the whole thing in 12 hours and Shawn can finish 1/8 because he finishes the whole thing in 8 hours.
Then find a common denominator and add those together to find how much they could do together in 1 hour.
2/24 + 3/24 = 5/24 So they can finish 5/24 of the desk in 1 hour if they work together.
So to finish 24/24 of the desk, they'll need to do 4 hours (20/24 of the desk) and 48 minutes (4/24 of the desk)
It asked for the number of minutes, so multiply 4 by 60 and add 48 to find the total number of minutes. 4*60 = 240 and 240 + 48 = 288
So it will take them 288 minutes to build the desk together.
What are the volume and the surface area of this storage chest?
Answer:
Hello!
answer: volume is 18
answer: surface area is 44
Hope that helps!
[3×2⁵-13 ×(-2)] + 2³ ÷ (-2² +3²) -3
Answer:
120.6 is the answer
Step-by-step explanation:
The Sine Function
The phrases of the Moon are periodic and repetitive. A new Moon occurs when no Moon is visible to an observer on Earth. During the first quarter, half of the side of the Moon facing the Earth is visible. During a full Moon the entire side of the Moon is Visible. During the last quarter the other half of the side of the Moon facing Earth is visible.
The U.S. Naval Observatory lists the following dates for phases of the Moon in the year 2008.
Using the information above, plot the data points. Does this data indicate that a sine regression may be appropriate in this case? Explain.
a. Yes, it shows repeated and periodic behavior.
b. Yes, it shows a curve increasing from left to right.
c. No, the points are random.
d. No, the points depict a parabola.
Please select the best answer from the choices provided
Answer:
A. Yes, it show repeated and periodic behavior.
Step-by-step explanation:
I calculated it logically
Last year there were 750 students enrolled in Park School, but this year there are only 685 students enrolled. What is the percent of decrease? Round to the nearest tenth.
Answer:
91 (1/3)
Step-by-step explanation:
first do 750 / 100 becuase thats is 100%
the answer to 750 / 100 is 7.5 then take 7.5 what you do is 685 / 7.5 and you get the answer
Answer:
-8.6666666666667% decrease
Step-by-step explanation:
Is either x = 8 or x = 10 a solution to 5x < 52?
A. x = 8 is a solution, but x = 10 is not.
B. Neither is a solution.
O C. x = 10 is a solution, but x = 8 is not.
D. They are both solutions.
Answer:
B. neither of them are solutions
Which shows the best path to convert 100 liters to pints?
A liters -> cups -> pints
B liters -> kiloliters -> pints
C pints -> gallons -> liters
D pint -> quarts -> liters
Answer:
A
Step-by-step explanation:
100 liters is 416.7 cups and 416.7 cups is 211.3 pints.
You spin a spinner that has 8 equal-sized sections numbered 1-8. Find each probability
Answer:
unlikely
Step-by-step explanation:
Answer:
1 to 7
Step-by-step explanation:
The probability of each landing on any of the numbers is 1 to 7
Which best describes the numbers satisfying the inequality x less-than 7?
A all numbers greater than 7
B all numbers less than 7
C all numbers greater than and including 7
D all numbers less than and including 7
Answer:
B all numbers less than 7
Step-by-step explanation:
x < 7
B all numbers less than 7
----------------------
< is less than
≤ is less than or equal
> is greater than
≥ is greater than or equal
Answer:
b XD
Step-by-step explanation:
HELP HELP HELP PLEASSSEEEE I NEED THE FULL EQUATION!! I WILL GIVE BRAINLY
Answer:
y=11/5x+1
Step-by-step explanation:
I am probably wrong :/
Answer:
y= -2/5x+1
Step-by-step explanation:
The slope of the line is -2/5 and the y intercept is 1.
223.6 x 0.0048 rough checks
Answer:
1.07328
Step-by-step explanation:
223.6 x 0.0048=1.07328
Shawn is buying a house and needs a loan for $120,000. Several banks have offered mortgages . Which of these offers would result in Shawn paying least amount of interest?
Answer:
b
Step-by-step explanation:
Help me please with an explanation
to please
Answer:
8 feet
Step-by-step explanation:
Volume = length * width * height
Substitute the values.
288 = 9 * 4 * height
Divide both sides by 36
height = 288/36
height = 8 feet
A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards
greater than the height and the longer base to be 7 yards greater than the height. She wants the area to be 155
square yards. The situation is modeled by the equation h2 + 5h 155. Use the Quadratic Formula to find the
height that will give the desired area. Round to the nearest hundredth of a yard.
320 yards
c. 20.4 yards
b. 10.2 yards
d. 12.7 yards
a.
9514 1404 393
Answer:
b. 10.2 yards
Step-by-step explanation:
The quadratic formula tells you the solutions to ...
ax² +bx +c = 0
are given by ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Here, the quadratic equation we have is ...
h² +5h -155 = 0
So the solutions given by the quadratic formula are ...
[tex]h=\dfrac{-5\pm\sqrt{5^2-4(1)(-155)}}{2(1)}=\dfrac{-5\pm\sqrt{645}}{2}=\{-15.2,10.2\}[/tex]
The negative solution is not applicable in this situation, so the height that gives the desired area is 10.2 yards.
help im giving brainliest to the person who helps me with both questions! :)
Answer:
1.)C
2.A
Step-by-step explanation:
6. If radius is 18 am and an angle at center of circle
is 120 degrees, then the area of the sector is.......
A. 382.4 cm
B. 339.3 cm?
C. 350 cm2
D. 300 cm?
Answer:
Try A
Step-by-step explanation:
382.4cm
What is the correct answer I will mark brainlist
Answer:
3rd
Step-by-step explanation:
MARK AS BRAINLEST!!
Help !!!!!!!!!!!!!!!!!!!!!
Answer:
only one of the side is a 4 so the answer is 6/6 -1/6=5/6
the measure of an angle is fifty nine times the measure of its supplementary angle. What is the measure of each angle
9514 1404 393
Answer:
177°, 3°
Step-by-step explanation:
If the smaller angle is s, then the sum of the two angles is ...
s + 59s = 180°
s = 180°/60 = 3° . . . . . divide by the coefficient of s
59s = 177° . . . . . . . . . find the larger angle
The two angles are 177° and 3°.
In order to set rates, an insurance company is trying to estimate the number of sick days that full time workers at an auto repair shop take per year. A previous study indicated that the population standard deviation is 2.8 days. How large a sample must be selected if the company wants to be 95% confident that the true mean differs from the sample mean by no more than 1 day?
A. 512
B. 1024
C. 141
D. 31
Answer:
D. 31
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
A previous study indicated that the population standard deviation is 2.8 days.
This means that [tex]\sigma = 2.8[/tex]
How large a sample must be selected if the company wants to be 95% confident that the true mean differs from the sample mean by no more than 1 day?
This is n for which M = 1. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]1 = 1.96\frac{2.8}{\sqrt{n}}[/tex]
[tex]\sqrt{n} = 1.96*2.8[/tex]
[tex](\sqrt{n})^2 = (1.96*2.8)^2[/tex]
[tex]n = 30.12[/tex]
Rounding up, at least 31 people are needed, and the correct answer is given by option D.
A bag contains 56 marbles: 7 red, green, 11 yellow, 17 brown, and 13 blue.
If a marble is chosen at random, what is the probability that the marble is green?
Answer:
8/56
Step-by-step explanation:
Add up all other marble colors then find the difference from the total.
Answer:
1/7
Step-by-step explanation:
there are 8 green marbles out of 56 so the probability would be 8/56 which simpliefies to 1/7 or 14.285714%
PLEASE HELP ASAP!!
Which statement describes the behavior of the function
around the vertical asymptotes?
Answer: B
Step-by-step explanation: if you look from both sides u can see it adds up + i got it right on edg:)
The statement describes the behavior of the function around the vertical asymptotes is B.
We have given the graph,
We have to determine which statement describes the behavior of the function around the vertical asymptotes.
What is the vertical asymptotes?
A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. It can never be crossed by the graph because it occurs at the x-value that is not in the domain of the function. A function may have more than one vertical asymptote.
If you look from both sides of the graphs you can see it adds upward.
To learn more about the vertical asymptote visit:
https://brainly.com/question/4138300
#SPJ2
HELP PLEASE
i think i’m correct but i don’t know the answer for the last one at the bottom!!!
Answer:
7.07
Step-by-step explanation:
triangleACB~triangleEFD
Answer: 4
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so
[tex]\frac{y}{12}=\frac{5}{15}\\\\\frac{y}{12}=\frac{1}{3}\\\\y=4[/tex]
What is the area of the figure?
7 in
Bin.
in
16 m
Answer:
112
Step-by-step explanation:\
Formula for Area- A(AREA)=L(LENGTH) times W(WIDTH)
If we follow this and plug in the Numbers we get the equasion- A=7x16
And so we solve and get the answer 112
hope this helped have a great day :3 (brainliest pls i need one more )
What is the sum of 3 1/4 and 4 3/4 simplify answer
Answer:
8
Step-by-step explanation:
3 1/4
+4 3/4
----------------
7 4/4
But we know 4/4 = 1
7 +1
8
Answer:
8
Step-by-step explanation:
3 and 1/4 + 4 and 3/4 =
3+4+1/4 +3/4
= 3+4+4/4 because 4 fourths is one whole
=3+4+1 = 8
What is the following quotient?
6square + 11square divided by
5square +3 square
The location of a public library is 12 miles east of a residential apartment. The location of a school is 5 miles south of the residential apartment. What is the SHORTEST distance between the public library and the school?
Answer:
13 miles
Step-by-step explanation:
12 miles
Home --------------------------------------------------------Library
|
5 miles |
|
|
|
School
We can draw an imaginary line betwen school and library. by using the pythagoras theorem, because it is a right triangle. the distance between school and library is 13.
Find the numbers of faces, edges, and vertices of the solid.
number of faces:
number of edges:
number of vertices:
Answer:
# of faces:7
# of edges: 15
# or vertices: 10
Answer:
7 10 15
Step-by-step explanation: