The university theater uses a combination of one letter (A – Z) and two digits (0 – 9) to identify their reserved seats. How many reserved seats are possible using a combination of one letter followed by two digits?
1.) 2600
2.) 234
3.) 260
4.) 2106
Answer:
Correct option: 1) 2600
Step-by-step explanation:
The letter has a total of 26 possible values (from 'a' to 'z'), and each digit has a total of 10 possible values (from 0 to 9).
So, to find the number of reserved seats possible, we just need to multiply the number of possible values of each letter and digit.
We have one letter and two digits, so we have:
26 * 10 * 10 = 2600 possible reserved seats
Correct option: 1)
Answer:
1.) 2,600
Step-by-step explanation:
Slide the green dot from 0 to plot the number at the correct
location
Pablo owes his sister $9. His sister Nina owes their
mother three times that amount. What number on the
number line represents Nina's debt?
Plot 9
9
?
-30 -27 -24 21 -18 -15 -12 -9
The life spasms of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard deviation of 9 months. What is the probability of a randomly selected hard drive from the company lasting between 2 years and 3 months and 3 years and 3 months? Use the portion of the standard normal table below to help answer the question.
Answer:
32%
Step-by-step explanation:
Got it right on the quiz.
Pls give me brainliest
Answer:
32%
Step-by-step explanation:
Betty spent 50 minutes on solving 25 questions. If she spent the same amount of time solving each question, how long would it take to do 30 questions
Given P(E) = 0.58 and P(FE) =0.32 , find P(F/E). Round the answer to the nearest hundredth.
A 0.19
B. 0.44
C. 0.55
D. 1.81
The set of numbers 1, 3, 7, 11, 15, and 36 contains all possible values for q. What value of q makes the following equation true: 4q+9=37 ?
Answer:
q = 7
Step-by-step explanation:
4q + 9 = 37
If a letter and a number are together it means multiply.
Substitute 7 into the equation:
4(7) + 9 = 37
28 + 9 = 37
So q must equal 7
Find the student's error in solving the following
inequality.
31 <-5x + 6
25 <-5x
-5
5x−3−7x = 15−x What is x?
Answer:
x = -18Step-by-step explanation:
[tex]5x - 3 - 7x = 15 - x \\ collect \: like \: terms \: \\ 5x - 7x + x = 15 + 3 \\ - x = 18[/tex]
[tex] \frac{ - x}{ - 1} = \frac{18}{ - 1} \\ x = - 18[/tex]
In the triangles, BC 2DE and AC FE.
If mZc is greater than mZE, then AB is
DF
MA
O congruent to
o longer than
shorter than
the same length as
A
CF
E
PLEASE HELP Draw the polygon whose vertices are (-2, 3), (-2, -3) (3, 1) and ( 3, 7) ,
Answer:
Parallelogram
Step-by-step explanation:
When I graphed these points on a coordinate plane and connect the points, I see a parallelogram.
PLZ MARK BRAINLIEST!!!
About 3% of the population has a particular genetic mutation. 600 people are randomly selected.
Find the standard deviation for the number of people with the genetic mutation in such groups of 600. Round your answer to three decimal places
Answer:
Standard deviation for the number of people with the genetic mutation = 4.178
Step-by-step explanation:
Explanation:-
Given random sample size 'n' =600
proportion of the Population 'p'=3% or 0.03
Let 'X' be the random variable in binomial distribution
Mean of the binomial distribution
μ = n p
= 600 X 0.03
= 18
Mean of the binomial distribution ' μ ' =18
Standard deviation of the binomial distribution
σ = [tex]\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178[/tex]
Conclusion:-
Standard deviation for the number of people with the genetic mutation = 4.178
Solve the following system of equations. What is one x-value of a solution?
f(x) = x2 + 4x + 10 g(x) = -32x - 40
a. x = 5
b. x = -5
c. x = 6
d. x = 2
Answer:
There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555
Step-by-step explanation:
Given the functions:
f(x) = x² + 4x + 10
g(x) = -32x - 40
we want to find the points at which f(x) = g(x).
x² + 4x + 10 = -32x - 40
x² + 4x + 10 + 32x + 40 = 0
x² + 36x + 50 = 0
Using quadratic formula:
[tex]x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)} [/tex]
[tex]x = \frac{-36 \pm \sqrt{36^2-4(1)(50)}}{2(1)} [/tex]
[tex]x = \frac{-36 \pm 33.11}{2} [/tex]
[tex]x_1 = \frac{-36 + 33.11}{2} [/tex]
[tex]x_1 = -1.445 [/tex]
[tex]x_2 = \frac{-36 - 33.11}{2} [/tex]
[tex]x_2 = -34.555[/tex]
Please help lots of points
Answer:
directrix
Step-by-step explanation:
The parabola is equidistant from the line called the directrix
and from a point called the focus
Answer:
The answer is B.
Given the figure below, find the values of x and z
Answer:
x=6 the angle =88
z=92
Step-by-step explanation:
find x
92+11x+22=180
114+11x=180
11x=180-114
x=66/11
x=6 the angle is 11(6)+22=66+22=88
find z=
z+88=180
z=180-88=92
Ben is 4 times as old as Ishaan. 6 years ago, Ben was 6 times as old as Ishaan. How old is Ishaan?
Answer:
15 years old.Ishaan is 15 years old.
Solution,
Let the age of Ben be X and ishaan be y.
Now,
X=4y
Six years ago,
[tex]x - 6 = 6(y - 6) \\ or \: x - 6 = 6y - 36 \\ or \: x - 6y = - 36 + 6 \\ or \: x - 6y = - 30[/tex]
Put the value of X
i.e X=4y
[tex]or \: 4y - 6y = - 30 \\ or \: - 2y = - 30 \\ or \: y = \frac{ - 30}{ - 2} \\ y = 15[/tex]
hope this helps..
Good luck on your assignment....
Start by setting up a chart based on age now
and age 6 years ago for Ben and Ishaan.
Since Ben is 4 times as old as Ishaan, use x to represent
Ishaan's age now and 4x to represent Ben's age now.
Ishaan's age 6 years ago would then be x - 6 and Ben's
age 6 years ago would be 4x - 6.
Now that your chart is filled out, read through the
second sentence of the problem to setup the equation.
Since the second sentence starts with 6 years ago,
we're going to be using the information in the
second column of our chart to setup the equation.
So 13 years ago, Ben, 4x - 6, was, equals,
6 times as old as Ishaan, 6(x - 6).
So we have the equation 4x - 6 = 6(x - 6).
Solving from here, we find that x = 15.
Steps are attache din the image provided.
Going back up to the chart, x represents Ishaan's age now.
So Ishaan is 15 years old now.
Raj takes a taxi to the airport. He expects the taxi to travel at an average speed of 60 mph. The distance from Raj's house to the airport is 30 miles. If Raj's taxi actually travels at an average speed of 50 mph, how many more minutes does the journey take than expected?
Answer:
6 minutes more
Step-by-step explanation:
Time = Distance ÷ Speed
Time = 30miles ÷ 60mph
Time = 30mins
Time = 30miles ÷ 50mph
Time = 36mins
36mins - 30mins = 6mins difference
Answer: 6 minutes
Step-by-step explanation:
Time = Distance / speed
When speed is 60 mph
Time = 30/60 = 1/2 hour = 30 minutes
When speed is 50 mph
Time = 30/50 = 3/5 hour = 36 minutes
can any one help. I'll mark brainliest
Answer:
3.5
Step-by-step explanation:
0+1+2+3+4+5+6+7=28
28/8=3.5
Which of the following is equal to 57%?
O A. 35
O B. 53
5.3
D. 15
Simplify $\frac{1+\sqrt{2}}{2+\sqrt{3}}$. Your solution can be converted to the form $A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})$, where $A$, $B$, $C$, and $D$ are positive integers. What is $A+B+C+D$?
Answer:
A+B+C+D = 13
Step-by-step explanation:
The given expression is:
[tex]\dfrac{1+\sqrt{2}}{2+\sqrt{3}}[/tex]
We have to simply it and express it in the form of:
[tex]A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})[/tex]
Multiply and divide the given expression with [tex]2-\sqrt 3[/tex]:
[tex]\dfrac{1+\sqrt{2}}{2+\sqrt{3}} \times \dfrac{2-\sqrt 3}{2-\sqrt 3}\\\Rightarrow \dfrac{(1+\sqrt{2}) \times (2-\sqrt 3)}{(2+\sqrt{3})\times (2-\sqrt 3)}\\\Rightarrow \dfrac{2+2\sqrt2-\sqrt3-\sqrt6}{2^2-(\sqrt{3})^2}\\\Rightarrow \dfrac{2+2\sqrt2-\sqrt3-\sqrt6}{4-3}\\\Rightarrow \dfrac{2(1+\sqrt2)-(\sqrt3+\sqrt6)}{1}\\\Rightarrow 2(1+\sqrt2)-(\sqrt3+\sqrt6)[/tex]
It is the simplified form of given expression.
Formula used:
[tex](a+b)(a-b) = a^{2} -b^{2}[/tex]
Comparing the simplified expression with [tex]A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})[/tex]
[tex]2(1+\sqrt2)-(\sqrt3+\sqrt6)=A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})\\\Rightarrow A =2, B=2, C=3\ and\ D=6[/tex]
So, value of
[tex]A+B+C+D = 2+2+3+6 = 13[/tex]
In 2010, Rafik bought a house. In 2015, Rafik sold the house to Bianca. He made a 20% profit on the sale. In 2019, Bianca sold the house for £193800. She made a 5% loss. Work out how much Rafik paid for the house in 2010.
Answer:
£170000
Step-by-step explanation:
In 2010, Rafik bought a house. Let us assume Rafik bought the house for $x. In 2015, Rafik sold the house to Bianca and made 20% profit. 20% profit = 20% of x = 0.2 × x = 0.2x. Therefore Rafik sold the house to Bianca at x + 0.2x = 1.2x. Bianca bought the house at 1.2x
The house was sold by Bianca at 5% loss in 2019. 5% loss = 0.05(1.2x) = 0.06x
Therefore the house was sold by Bianca at 1.2x - 0.06x = 1.14x. Since Bianca sold the house at £193800.
⇒ 1.14x = 193800
x = 193800/1.14
x = £170000
Rafik paid £170000 for the house in 2010
What is the slope of the line shown below?
(3, 8)
(1, -2)
[tex]answer \\ 5 \\ solution \\ let \: the \: points \: be \: a \: and \: b \\ a(3 , 8) = > (x1 , y1) \\ b(1 , - 2) = > (x2 , y2) \\ slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: = \frac{ - 2 - 8}{1 - 3} \\ \: \: \: \: \: = \frac{ - 10}{ - 2} \\ \: \: \: \: \: \: = 5 \\ hope \: it \: helps[/tex]
To find the slope of the line, I will be showing you the table method.
To find the slope of the line using the table method,
we start by making a table for our ordered pairs.
We will put the x values in the left column
and the y values in the right column.
Our first ordered pair is (3, 8), so we put a
3 in the x column and a 8 in the y column.
Our second ordered pair is (1, -2), so we put a
1 in the x column and a -2 in the y column.
Next, remember that the slope or m, is always equal to
the rate of change or the change in y over the change in x.
Using our table, we can see that the y values
go from 8 to -2 so the change in y is -10.
The x values go from 3 to 1 so the change in x is 2.
Therefore, the rate of change, or the change in y
over the change in x is -10/2 which reduces to 5.
This means that the slope is also equal to 5.
I have to complete the proofs and explain each one please help WILL MARK BRAINLIEST
Answer:
Step-by
Q1
PROOF
consider triangle ACT and ARD
CA=CA [GIVEN]
angle 1 = angle 2 [GIVEN]
angle CAT = angle RAD [OPPOSITE ANGLES]
hence ,triangle ACT is congruent to triangle ARD [by SAS]
hence , angle 3 = angle 4 [ by cpct]
Q2
PROOF
consider triangle TSU and TVU
TU =TU [commn]
UV = US [given]
angle TUS = angle TUV [ given]
hence, triangle TSU congruent to TVU [ by SAS]
hence, VT = ST
Q3
PROOF
consider triangle ABC and ADC
AC = AC [ common]
angle ACB = angle ACD [given ]
angle ADC = angle ABC [ 90 degree ]
hence they are congruent [by AAS]
BC = DC [ CPCT]
PLEASE MARK ME AS BRAINLIEST .....IT TOOK THOUSANDS OF HOURS TO TYPE ALL THESE IN COMPUTER
Find the size of angle XYZ.
Give your answer to 1 decimal place.
Z
13 cm
x
Y
4 cm
Answer:
72.9°solution,
[tex]tan \: y \: = \frac{13}{4} \\ y = {tan}^{ - 1} ( \frac{13}{4} ) \\ y = 72.9[/tex]
hope this helps ....
Good luck on your assignment...
By applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.
What are Trigonometric identities ?Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.
We have given that x=4cm , y=4cm and z=13cm.
By applying trigonometry of tan which is perpendicular upon base i.e. P/B
A triangle would be constructed , base would be z=13cm
and x and y will define the other 2 lines of 4 cm each.
tan Ф = perpendicular/ base,
tan Ф = 13/4
Ф = tan [tex]^{-1}[/tex] (3.25cm)
Ф = 72.9°
Therefore, by applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.
Learn more about trigonometric;
https://brainly.com/question/21286835
#SPJ2
Complete the tasks to subtract the polynomials
vertically.
(1.32 +0.412 – 241) – (0.612 + 8 - 181)
What is the additive inverse of the polynomial
being subtracted?
-0.612 + (-8) + (-181)
-0.612 + (-8) + 18+
-0.612 + 8 - 181
0.612 + (-8) + 181
DONE
Answer:
The additive inverse of the polynomial being subtracted is -0.612-8+181
Step-by-step explanation:
Given expression : (1.32 +0.412 – 241) – (0.612 + 8 - 181)
Now the polynomial being subtracted : (0.612 + 8 - 181)
Additive inverse : The number in the set of real numbers that when added to a given number will give zero.
So, Additive inverse of 0.612 = -0.612
Additive inverse of 8 = -8
Additive inverse of -181 = 181
So, The additive inverse of polynomial being subtracted : -0.612-8+181
So, Option B is true
Hence the additive inverse of the polynomial being subtracted is -0.612-8+181
The equation K = StartFraction one-half EndFractionmv2 represents the energy an object has based on its motion. The kinetic energy, K, is based on the mass of the object, m, and the velocity of the object, v. Lashandra is given K and v for 10 different objects. In order to make solving more efficient, she solves the equation for m : m = m equals StartFraction K Over 2 v squared EndFraction.. After attempting to determine the mass of a few objects, Lashandra realizes there must be something wrong with her formula. What is Lashandra’s error? She should have multiplied by 2 instead of dividing by 2. She should have multiplied by K equals StartFraction one-half EndFraction m v squared. instead of dividing by 2. She should have used the square root to move the squared term to the other side of the equation. She should have squared the K when moving the v2 to the other side of the equation.
Answer:A
Step-by-step explanation:
Answer: Letter A
Step-by-step explanation:
|25 POINTS| Suppose you have one pyramid with a base that is 10 meters long and 10 meters wide with a slant that is 15 meters. Now, if the length of the base is increased to 15 meters, what is the difference in the surface area between the new pyramid and the old pyramid?
125 meters squared.
525 meters squared.
600 meters squared.
400 meters squared.
Answer:
125 meters squared
Step-by-step explanation:
Surface area of initial pyramid:
A= 10²+4*1/2*10*15= 400 m²Surface area of extended pyramid:
A= 10*15+2*1/2*15*15+2*1/2*10*15= 525 m²The difference is:
525- 400= 125 m²Wyatt’s eye-level height is 120 ft above sea level, and Shawn’s eye-level height is 270 ft above sea level. How much farther can Shawn see to the horizon? Use the formula d = StartRoot StartFraction 3 h Over 2 EndFraction EndRoot, h greater-than-or-equal-to 0 with d being the distance they can see in miles and h being their eye-level height in feet.
StartRoot 5 EndRoot mi
3 StartRoot 5 EndRoot mi
15 StartRoot 5 EndRoot mi
45 StartRoot 5 EndRoot mi
Answer:
The answer is 3√5 mi.
The formula is: d = √(3h/2)
Wyatt:
h = 120 ft
d = √(3 * 120/2) = √180 = √(36 * 5) = √36 * √5 = 6√5 mi
Shawn:
h = 270 ft
d = √(3 * 270/2) = √405 = √(81 * 5) = √81 * √5 = 9√5 mi
How much farther can Shawn see to the horizon?
Shawn - Wyatt = 9√5 - 6√5 = 3√5 mi
Answer:
its b
Step-by-step explanation:
i just did it
PLEASEEE HELPPPPPPPjjsek
Answer:
1.777777778
Step-by-step explanation:
hope that helps!
Answer:
16/9 or 1 2/9
Step-by-step explanation:
the fraction bar means divison
You have 24 homework problems for math class. You finish of them during some
extra time in class. If you complete 4 more problems while waiting for the bus, what
fraction of the 24 problems will remain?
دو آدم
8
24
Answer:
Step-by-step explanation:
If you were to complete 4 out of the 24 current homework problems, then I can say that you'd have 5/6 of the problems remaining. This is because 24 divided by 4 is 6, so completing 4 questions counts as completing 1/5 of the total amount of work present. If you want to use whole numbers instead of fractions, you would have completed 4 out of 24 questions and would have 20 remaining
What is the slope intercept equation of a line that has a slope of -2 and a y-intercept of (0, 3)
Answer:
y = -2 x +3
Step-by-step explanation:
If the slope must be "-2", then the slope intercept form of the line should look like;
y = m x + b
with the slope "m" = -2
That is:
y = -2 x + b
Now the constant "b" can be found using the info on the value of the y-intercept which is (0, 3), so when x = 0, the value of the y-coordinate must be 3. By imposing this condition into the equation, we can find the value of "b":
3 = -2 (0) + b
3 = b
Then the equation becomes:
y = -2 x +3