Answer:
the original price of the book is $20
Step-by-step explanation:
sometimes in a question, they put things in the question that don't actually help us get to the answer. usually we ignore it, but i'm going to list them out just to help you a bit more.
Things that are useless:
his name is Jarred (his name could be gary, it doesn't affect us getting the answer)he went to a bookstore (he could've gone to the library, it wont affect us getting to the answer)the book is softcover (it could be any type of book, wont affect us getting to the answer)the item is a book (it could be anything that he bought, wont affect us getting to the answer.)Things that are helpful:
the book was on sale (helps us know that the price was reduced)the book was on sale 10% (helps us know how much it was reduced by)he spent $18 for the reduced price (helps us know how much he spent)Ok, now that we know those, let's work on the question.
let b be the original book price
we need to find 10% so we have to use 90% (because 100 - 10 = 90)
if we needed to find 20% we would use 80% (because 100 - 20 = 80)
and so on.
90% of b = 18 (90% of the og. book price equals 18)
90/100 × b = 18 (write a correct equation and make the percent a fraction)
9/10 × b = 18 (simplify both sides of the equation)
9 × b = 180 (multiply both sides of the equation to get rid of fraction)
b = 20 (divide both sides of the equ. to get b by itself)
the original price of the book is $20
hope this helped :D
good luck my friend
- cheesetoasty
find the missing length
Answer:
36
Step-by-step explanation:
since the triangles are similar, that means that they have the same angles, and all 3 correlating sides have the same scaling factor.
C correlates to R.
B to Q.
A to P.
therefore,
CB correlates to RQ.
84 / 18 = 14 / 3
so, the scaling factor from ABC to PQR is
3/14
AB to PQ must have the same scaling factor :
168 × 3/14 = 12 × 3 = 36
which is also (of course) confirming the ratio of leg to baseline of the original triangle :
AB : CB = 168 : 84 = 2 : 1
and now
PQ : RQ = 36 : 18 = 2 : 1
In a large company, the proportion of employees who were promoted during the last year was 0.10. If 100
employees were chosen from this company randomly, what is the probability that at least 15 of them were
promoted during the last year?
O 0.5
O 0.4525
O 0.0475
O 0.9525
Answer:
0.0475
Step-by-step explanation:
We use the binomial approximation to the normal to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In a large company, the proportion of employees who were promoted during the last year was 0.10.
This means that [tex]p = 0.1[/tex]
100 employees
This means that [tex]n = 100[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 100*0.1 = 10[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.1*0.9} = 3[/tex]
What is the probability that at least 15 of them were promoted during the last year?
This is [tex]P(X \geq 15)[/tex], which is 1 subtracted by the pvalue of Z when X = 15. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15 - 10}{3}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a pvalue of 0.9525
1 - 0.9525 = 0.0475.
0.0475 is the answer.
Solve this for me (geometry)
Given:
The figure of triangle GHI and a circle M inscribed in the triangle.
To find:
The perimeter of the triangle.
Solution:
We know that the lengths of the tangent on a circle from same exterior point are always equal.
[tex]JH=HK[/tex] (Tangent from point H)
[tex]6x-11=2x+9[/tex]
[tex]6x-2x=11+9[/tex]
[tex]4x=20[/tex]
Divide both sides by 4.
[tex]x=\dfrac{20}{4}[/tex]
[tex]x=5[/tex]
Now,
[tex]JH=6x-11[/tex]
[tex]JH=6(5)-11[/tex]
[tex]JH=30-11[/tex]
[tex]JH=19[/tex]
In the same way,
[tex]GJ=GL[/tex] (Tangent from point H)
[tex]IK=IL[/tex] (Tangent from point H)
From the figure, it is clear that,
[tex]IL=GI-GL[/tex]
[tex]IL=40-GJ[/tex]
[tex]IL=40-23[/tex]
[tex]IL=17[/tex]
The perimeter of the triangle GHI is:
[tex]Perimeter=GH+HI+GI[/tex]
[tex]Perimeter=(GJ+HJ)+(HK+IK)+(GL+IL)[/tex]
[tex]Perimeter=(23+19)+(19+17)+(23+17)[/tex]
[tex]Perimeter=118[/tex]
Therefore, the perimeter of the triangle GHI is 118 units.
Write an expression using an exponent to represent the following: Adnan Start with one coin. the number of coins doubles every day. How many coins will he have on day 8?
Answer: 128
Step-by-step explanation:
day 1: 1
day 2: 2
day 3: 4
day 4: 8
day 5: 16
day 6: 32
day 7: 64
day 8: 128
ALSO.
you can solve it by doing 2 to the power of 8
2^8 is the expression
At Cheng's Bike Rentals, it costs $37 to rent a bike for 8 hours.
How many hours of bike use does a customer get per dollar?
Answer Correct me if I'm wrong but I believe it is 4 dollars and 62 cents. (4.62$)
Step-by-step explanation:
Name all pairs
complementary angles
Answer:
See Explanation
Step-by-step explanation:
Require
All complementary angles
The image is blur and the texts are unreadable. However, the following explanation will assist you
To determine a pair of complementary angles, then both angles must add up to 90.
For instance: 50 and 40; 72 and 18, 10 and 80 etc.
So, all you need to do is select all pairs of angles that add up to 90 in the given image.
Take for instance:
[tex]\angle ABC = 50[/tex] and [tex]\angle BDE = 40[/tex] -- assumed values
This means that, you will select [tex]\angle ABC\ \&\ \angle BDE[/tex] as a pair
PLEASE HELP thank u very much
Martina designed a painting for art class, as shown in the drawing below. Her design contains 4 circles on a square canvas. Each circle has a radius of 6 inches. The circles touch the edges of the canvas and each other, as show below.
The shaded section of Martina's design will be painted black. Which is closest to the area that will be painted black?
Answer:
area of shaded region =(6×4)²-4(π6²)=123.61in²
Answer:
area of shaded region (6x4)²-4(6²)=123.61in²
s
Can someone help me pls
Answer:
69
Step-by-step explanation:
both edges equal 90 degrees
90 plus 90 plus 111 =291
360-291
simplify
[tex] {a}^{3} + {b}^{3} [/tex]
Answer:
[tex]{a}^{3} + {b}^{3} [/tex]
[tex] = (a + b)( {a}^{2} - ab + {b}^{2} )[/tex]
Hence, simplified
Suppose that a random sample of eighteen recently sold houses in a certain city has a mean sales price of , with a standard deviation of . Under the assumption that house prices are normally distributed, find a confidence interval for the mean sales price of all houses in this community. Then find the lower limit and upper limit of the confidence interval.
This question is incomplete, the complete question is;
Suppose that a random sample of eighteen recently sold houses in a certain city has a mean sales price of $280,000, with a standard deviation of $10,000. Under the assumption that house prices are normally distributed, find a 95% confidence interval for the mean sales price of all houses in this community. Then find the lower limit and upper limit of the confidence interval.
Answer:
At 95%, confidence interval is ( 275026.7, 284973.3 )
Hence;
Lower limit = 275026.7
Upper limit = 284973.3
Step-by-step explanation:
Given that;
mean x = $280,000
standard deviation σ = $10,000
sample size n = 18
degree of freedom df = n - 1 = 18 - 1 = 17
∝ = 1 - 95% = 1 - 0.95 = 0.05
so
Critical t value = tinv( 0.05, 17 ) = 2.11
now, at 95% confidence interval for mean will be;
⇒ x ± [ Critical t value × ( σ/√n) ]
so we substitute
⇒ 280,000 ± [ 2.11 × ( 10000/√18) ]
⇒ 280,000 ± [ 2.11 × 2357.0226 ]
⇒ 280,000 ± 4973.3
⇒ 280000 - 4973.3, 280000 + 4973.3
At 95%, confidence interval is ( 275026.7, 284973.3 )
Hence;
Lower limit = 275026.7
Upper limit = 284973.3
show work , I’ll vote you brainliest if it is correct . Thank you
Answer:
Whats the question to this problem? Do you want to know if it's correct?
i can help! Just show your work? 1/2 times whatever X is + X+1 over whatever X is = 1/2 i can get the answer if you need it unless what i said helped! :) Your welcome!
Step-by-step explanation:
Have a great week! Hope i helped! Plz dont delete answer i promise i will help and it will be correct!
Please help me with this!! I don’t understand it at all (trigonometry)
Hi there!
[tex]\large\boxed{cos(\frac{\theta}{2} )= \frac{3}{\sqrt{7}}}[/tex]
[tex]\large\boxed{tan(\frac{\theta}{2}) = \frac{\sqrt{5}}{3}}[/tex]
Begin by recalling that:
sin(θ) = O/H, so:
Opposite side = 3√5
Hypotenuse = 7
We can solve for the adjacent sign using the Pythagorean Theorem:
7² = (3√5)² + b²
49 = 45 + b²
b² = 4
b = 2.
Thus, cosθ = 2/ 7
Use the half angle identity to solve for cos(θ/2):
cos(θ/2) = √(1 + cosθ)
Plug in the value of cosθ:
= √(1 + 2/7) = √9/7, or 3 /√7
Thus:
[tex]cos(\frac{\theta}{2}) = \frac{3}{\sqrt{7}}[/tex]
Calculate tan(θ/2) using the same process but with a different formula:
tan(θ/2) = √(1 - cosθ / 1 + cosθ)
Substitute in the value of cosθ:
tan(θ/2) = √(1 - 2/7)/(1 + 2/7)
= √(5/7)/(9/7) = √5/9 = √5/3
Find the value of x.
6
14
3x-12
21
x = [?]
Enter
Answer:
x = 7
Step-by-step explanation:
Based on the angle bisector theorem, we would have the following equation:
21/(3x - 12) = 14/6
21/(3x - 12) = 7/3
Cross multiply
(3x - 12)*7 = 3*21
21x - 84 = 63
21x - 84 + 84 = 63 + 84
21x = 147
21x/21 = 147/21
x = 7
1 point
8. The dot plot below represents the number of dollars in allowance that
students receive each week in Mrs. Jimenez's class. What is the median
amount of allowance?
1...
+
2
+
4
+
12
+
14.
O
6
8
10
16
DOLLARS OF ALLOWANCE EACH WEEK
Answer:
6
Step-by-step explanation:
i am not sure but i think its right sorry if you get it wrong
HELP With this question
Answer:
Step-by-step explanation:
sin 60=CB/18
[tex]\frac{\sqrt{3} }{2} =\frac{CB}{18} \\CB=9\sqrt{3}[/tex]
pls help i dont know the answer to this
Answer:
4 1/12
Step-by-step explanation:
make all the denominators 12 so u can add them easier
2 1/12 + 2 4/12 + 3 2/12 = 7 7/12
nn subtract from the 11 2/3
11 8/12 - 7 7/12 = 4 1/12
A cookie jar has 9 chocolate chip cookies, 17 peanut butter cookies, and 17 sugar cookies inside of it. The cookie monster's favorite cookies are chocolate chip cookies. What is the probability that the cookie monster will be disappointed and doesn't get his favorite cookie? Round your answer to the thousandths place.
Answer: 4.78
Step-by-step explanation:
add up all the cookies and then divide by his favorite.
Answer:I got 2500%
Step-by-step explanation:so first I added 17+17 then you subtract 9 so that gives you 25 then if you convert it into a percentage you would be 2500.
Find the conjugate and product of
i2 + 9
Answer:
i2 - 9
-85
Step-by-step explanation:
Conjugate of an expression is gotten by simply changing the sign to the opposite sign. For example, the conjugate of 5 is -5, the conjugate of x+2 is x-2. Given the complex value 2i+9, the conjugate will be -85
Taking their product
(2i+9)(2i-9)
Expand
2i(2i)-9(2i)+9(2i)+9(-9)
= 4i²-18-+18i-81
= 4i² - 81
Since i² = -1
= 4(-1) - 81
= -4-81
= -85
Hence the product will give -85
Pls help me on this question
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
If probablikty is 5/12 then, not picking is 7/12
If the domain of f(n) = -4n - 3 is (-1, 1/4, 4), what is the range?
{-1, 2, -19)
{-7.-4.-13)
{1, -4, -19)
Simplify the expression:
4(b-6)+19
Please help, thank you :)
Answer:
4b - 5
is the answer
how much do i need to get to 500 so rite now I have 423 and I need 500
like for exampole 485+15=15
Answer:
77
Step-by-step explanation:
just do 500-423
Are the fractions 9/6 and 6/4 equivalent?
SOLUTION:
IF YOU GIVE ME AN ANSWER GARBAGE I WILL REPORT YOU
THANK, ;)
Answer: 9/6 and 6/4 are equivalent
Step-by-step explanation:
If you simply 9/6, you get 1 3/6
Simplify 6/4, you get 1 2/4
3/6 and 2/4 both equal 1/2, so 9/6 and 6/4 both equal 1 1/2. Therefore, they are equivalent.
Hope this helped ;D
Chuck put new wallpaper in his bathroom. The pattern of the wallpaper
used 3 triangles to make a straight angle. The measures of the angles
are (9x - 72). (73x + ) and 11) What is the measure of the
obtuse angle? 7.3.5
ext
Tota
Answer:
x = 2.93
Step-by-step explanation:
The sum of angles of the triangle is 180degrees, hence;
9x - 72 + 73x + 11 = 180
82x - 61 = 180
82x = 180 + 61
82x = 241
Divide both sides by 82
82x/82 = 241/82
x = 2.93
Note that the functions might not be accurate but the same methos should be employed for any function given
A plumber charges a customer a one-time service fee of $79, $62 per hour for labor, and a surcharge of $15 per hour due to the call being an emergency.
Write an expression to represent the total charges for the plumber in two different ways. Let h represent the number of hours the job takes.
Answer:
As a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:
Option 1:
Fixed amount + amount per hour multiplied by the number of hours + emergency amount multiplied by the number of hours = X
79 + 62H + 15H = X
Option 2:
Fixed amount + sum of emergency amount and the amount per hour multiplied by the number of hours = X
79 + ((62 + 15) x H) = X
Please help!
The distance between two tall buildings is 480ft. While standing on the roof of the shorter building, an inquisitive geometry student measures the angle of descent to the base of the taller building to be 48 degrees. She also measures the angle of elevation to the top of the taller building to be 25degrees. How tall is the shorter building? How tall is the taller building?
Answer:
450ft
Step-by-step explanation:
In the picture
Solve for x.
7x - = 6x -
O x = 1/4
Ox=1
Ox= -1
O x = -1/4
Answer:
D. - 1/4
Step-by-step explanation:
Please help! Like please.
The answer is letter H
how to get the answer.
how to get the 1.2762815625?
I know it says to multiple, but how to multiple to get that number?
thanks
9514 1404 393
Answer:
1.05 × 1.05 × 1.05 × 1.05 × 1.05 = 1.2762815625
Step-by-step explanation:
An exponent indicates how many times the base is a factor in the product. That is, 1.05 to the 5th power means ...
1.05⁵ = 1.05 × 1.05 × 1.05 × 1.05 × 1.05
This multiplication expression is evaluated in the usual way.
= 1.1025 × 1.05 × 1.05 × 1.05
= 1.157625 × 1.05 × 1.05
= 1.21550625 × 1.05
= 1.2762815625
__
All scientific and graphing calculators have a button for computing the power of a number. On my calculator its label is [tex]\displaystyle \boxed{y^x}[/tex]. The particulars of the function of this button can be found in the manual for your calculator.
For on-line calculators, such as the go.ogle calculator, or the Desmos graphing calculator, the caret (^) is used to signify an exponent. (See the input line in the first attachment for an example.)
Create an inequality, 5 less than a number is less than -2
Answer:
x - 5 < -2
Answer is there