Answer:
21 and 96
Step-by-step explanation:
Let x and y be the two numbers such that x>y.
As the sum of both the numbers is 96.
x+y=96...(i)
As the larger number is nine less than four times the smaller number,
So, x=4y-9
From equation (i),
4y-9+y=96
5y=96+9=105
So, y=105/5=21
By using equation (i),
x=96-y=96-21=75
Hence, both the numbers are 21 and 96.
what is 3x+(4x-6)=8x+1
Answer:
Standard form:
−x − 7 = 0
Factorization:
−(x + 7) = 0
Solutions:
x = −7
Step-by-step explanation:
hope it helps
the perimeter of a rectangle is 50 metre and breadth is 9 metre find its length
Answer:
the answer is 18 thanks to ask help
What function is Boolean operators used for
Answer: Boolean Operators are simple words used as conjunctions to combine or exclude keywords in a search, resulting in more focused and productive results. Examples are (AND, OR, NOT or AND NOT) .
Step-by-step explanation:
Vhat is the annual interest rate on a loan of
25,500 if the interest payments are $956.25
emiannually on the full loan amount?
The annual interest rate on a loan of $ 25,500 if the interest payments are $ 956.25 will be equal to 3.75 %.
We are given that the principal loan amount is equal to $ 25,500
That is
Principal = p = $ 25,500.
The interest payments is $ 956.25
That is the amount of interest = SI = $ 956.25.
Let the rate of interest on the loan amount be r.
Time period = t = 1
Simple Interest = p r t / 100
956.25 = 25,500 × r × 1 / 100
956.25 = 255 r
r = 956.25 / 255
r = 3.75 %
Therefore, the annual interest rate on a loan of $ 25,500 if the interest payments are $ 956.25 will be equal to 3.75 %.
Learn more about simple interest here:
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Please need help on this one
Answer:
45°
Step-by-step explanation:
The base angle are the same measure and since one angle is already 90° the remaining two are 45°. They have to equal up to 180. 90 + 45 + 45 = 180.
Hope this helps ya!!
PLEASEEE HELP
is (14,7) proportional
Answer:
I would say that answer is proportional
Step-by-step explanation:
f(x)=-2x-1 g(x)=-1/2x+1/2 Which statements, if any, are true about these functions? I. The function f(g(x)) = x for all real x. II. The function g(f(x)) = x for all real x. III. Functions f and g are inverse functions.
Answer:
III. Functions f and g are inverse functions.
Step-by-step explanation:
Answer:
None of statements are true
Step-by-step explanation:
The gross weekly sales at a certain super market are a Gaussian random with mean $2200 and standard deviation $230. Assume that the sales from week to week are independent.
A) Find the probability that the gross sales over the next two weeks exceed $5000.
B) Find the probability that the gross weekly sales exceed $2000 in at least 2 of the next 3 weeks.
Answer:
A) P(Z > 5000) = 0.0322
B) P( Y = 2 or 3) ≅ 0.9032
Step-by-step explanation:
From the given information;
Suppose the sales for the first week are denoted by X and the sales for the second week are denoted by Y.
Then;
X & Y are independent and they follow a normal distribution.
i.e.
[tex]XY \sim N(\mu,\sigma^2)[/tex]
[tex]XY \sim N(2200,230^2)[/tex]
If we set Z to be equal to X+Y
Then, [tex]Z \sim N(2 \times 2200,2 \times 230^2)[/tex] since two normal distribution appears normal
[tex]Z \sim N(4400,105800)[/tex]
So;
[tex]P(Z > 5000) = 1 - P( Z< \dfrac{x = \mu}{\sqrt{\sigma}})[/tex]
[tex]P(Z > 5000) = 1 - P( Z< \dfrac{5000-4400}{\sqrt{105800}})[/tex]
[tex]P(Z > 5000) = 1 - P( Z< \dfrac{600}{325.2691})[/tex]
[tex]P(Z > 5000) = 1 - P( Z< 1.844626495)[/tex]
[tex]P(Z > 5000) = 1 - P( Z< 1.85)[/tex]
From the Z - tables;
P(Z > 5000) = 1 - 0.9678
P(Z > 5000) = 0.0322
B)
Let Y be the random variable that obeys the Binomial distribution.
Y represents the numbers of weeks in the next 3 weeks where the gross weekly sales exceed $2000
Thus;
[tex]Y \sim Bin(3,p)[/tex]
where;
[tex]p = 1 - P( Z < \dfrac{2000-2200}{230})[/tex]
[tex]p = 1 - P( Z < \dfrac{-200}{230})[/tex]
p = 1 - P( Z < - 0.869565)
From the Z - tables;
p = 1 - 0.1924
p = 0.8076
Now;
P(Y ≥ 2) = P(Y = 2) + P( Y =3 )
Using the formula
[tex]P(X = r ) = ^nC_r \times p^r \times q ^{n-r}[/tex]
[tex]P( Y = 2 \ or \ 3) =^ 3C_2 \times 0.8076^2 \times ( 1- 0.8076) ^ {3-2} + ^ 3C_3 \times 0.8076^3 \times ( 1- 0.8076) ^ {3-3}[/tex]
[tex]P( Y = 2 \ or \ 3) =\dfrac{3!}{2!(3-2)!} \times 0.8076^2 \times ( 0.1924) ^ 1 + \dfrac{3!}{3!(3-3)!}\times 0.8076^3 \times ( 0.1924) ^ {0}[/tex]
[tex]P( Y = 2 \ or \ 3) =0.3764600911 +0.526731063[/tex]
P( Y = 2 or 3) = 0.9031911541
P( Y = 2 or 3) ≅ 0.9032
what is 7one-half ÷ 3three-fourths
Answer:
Half of three fourths is 3/4 divided by 2.
As 2 is 2/1 3/4 divided by 2 is equivalent to 3/4 * 1/2.
This will give you the answer 3/8.
Half of three fourths is 3/8.
Step-by-step explanation:
Answer: 14/15.
Step-by-step explanation:0.9333333333 but in decimal form its 14/15
An average slice of american cheese is about 1/8
inch thick. What is the height of a package containing 20 slices?
Part A: If (7^2)^x = 1, what is the value of x? Explain your answer. ( How did you get your answer?)
Part B: If (7^0)^x = 1, what are the possible values of x? Explain your answer. ( How did you get your answer?)
Answer:
a = 0 and b = literally any number
Step-by-step explanation:
because anything to the power of 0 = 1,
so e.g. 2^0 = 1 or 8^0 = 1
this is just a rule in powers that you just have to know
and for part b anything × 0 = 0, so it can be anything
hope this helps :)
150 is 25% of what number? Four students solved this problem using equivalent ratios. Choose the student whose work is correct.
Answer:
liam's answer is correct
Step-by-step explanation:
Answer:
Yes it is Liam
Step-by-step explanation:
Good job other guy! :)
Josiah and Kiri are each saving money.
Josiah starts with `\$100` in his savings account and adds `\$5` per week. Kiri starts with `\$40` in her savings account and adds `\$10` each week.
After `4` weeks, who has more money in their savings account?
Answer:
A.Josiah
5×4= 20+100=120
10×4=40+40=80
120 is more than 80
After 4 weeks , Josiah has 40 dollars more in his savings account.
Given :
Josiah starts with $100 in his savings account and adds 5 per week.
Let x be the number of weeks they started saving
Total money in savings account = 5 (number of weeks) + initial amount
Total money = [tex]5x+100[/tex]
Kiri starts with 40 in her savings account and adds 10 each week.
Total money = 10x+40
Now we need to find out how much money each have after 4 weeks
lets replace x by 4
Josiah have [tex]5(4)+100=120[/tex]
Kiri have [tex]10(4)+40= 80[/tex]
120-80=40
So , Josiah have 40 dollars more in his savings account.
Learn more : brainly.com/question/20164685
Combine like terms 9+18s - 7s
Answer: The answer is 9+11s :)
Step-by-step explanation:
Combine like terms
9+18s-7s
9=11s so I don't what you mean but in case you want to find s it will be
11 11
S=9/11
A lie-detector works correctly with 80% probability when the person is lying, and with 90% probability when the person is not. Assume that in a given court, typically 70% of the people who have to be tested with the lie-detector do not say the truth. On the long run, which percentage of time does the lie detector make a mistake?
Answer:
the time percentage is 17%
Step-by-step explanation:
The computation of the time percenatge in the case when the detector lie and done with the mistake is as follows:
L denotes the event in which a person is lying.
NL denotes the event in which a person is not lying.
C denotes the event in which that lie detector works correctly
NC denotes the event in which lie detector is not working correctly
Now
P(C|L) =0.8
And,
P(NC|L) is
=1 - .8
= 0.2
P(C|NL) =0.9
P(NC|NL) is
= 1 -.9
=.1
P(L) = 0.7
P(NL) is
= 1 - .7
= .3
Now
P(NC) =P(NC|L) × P(L) + P(NC|NL) × P(NL)
=. 2 × .7 + .1 ×.3
=. 14+.03
= 0.17
Hence, the time percentage is 17%
A total of 160 children play in the city soccer league and 64 of the players are girls what percent of the players are girls
Answer:
40 percent of the children that play soccer are girls in the league
Step-by-step explanation:
just divide 64/160 and get 40
Answer:
40%
Step-by-step explanation:
64/160 = 0.4
0.4 = 40%
someone please help me with this!
Answer:
remove the bracket on the other side by multiplying 180 by (2-n)
subtract 360 from 1260 to remain with -180n on the other side
divide both sides by -180n
then n become -5
the vertical change between two points is called___.
A. up
B. down
C. run
D. rise
Answer:
D
Step-by-step explanation:
The term "rise over run" is frequently used when talking about slope. It means the vertical distance over the horizontal distance, so the answer is D, rise.
A diver was 5 feet below the surface of a lake. She dove to a depth of 80 feet.
15 feet
80 feet
Which integer represents the change in the diver's depth?
A.-85
B.-75
C.75
D. 85
A point travels East 3 spaces and South 8 spaces.Write the description in algebraic terms.
Answer:
A point travels East 3 spaces and South 8 spaces.
Algebraic equation
[tex]P'(x,y) = (x+3, y-8)[/tex]
Step-by-step explanation:
From the viewpoint of Linear Algebra, the description can be described by means of translation, which is defined as:
[tex]P'(x,y) =P(x,y) +T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Initial position of the traveller, dimensionless.
[tex]T(x,y)[/tex] - Translation vector, dimensionless.
[tex]P'(x,y)[/tex] - Final position of the traveller, dimensionless.
Let suppose that [tex]y > 0[/tex] represents the number of steps to the north, and [tex]x> 0[/tex], the number of steps to the east.
If we know that [tex]P(x,y) =(x,y)[/tex] and [tex]T(x,y) = (3, -8)[/tex], then the resulting equation is:
[tex]P'(x,y) = (x,y) +(3,-8)[/tex]
[tex]P'(x,y) = (x+3, y-8)[/tex]
Based on the graph below, what is f(2)?
0
1
2
-2
Answer:
the answer is 2 or c good luck
Answer:
C. 2
Step-by-step explanation:
Maria, Josh, and trey have a total of 160 in their wallets. Josh has 10 less than Maria. Trey has 4 times what Josh has. How much do they have in their wallets?
Step-by-step explanation:
Marie had 160
Josh has 150
Trey has 600
PLS HELP WILL GIVE BRAILIEST
The slides are different from each other so the chance of getting one of them is 1/18.
The chance of getting it again is 1/18 × 1/18 = 1/324
So, P(a number both times) = 1/324
Answer:
9/18 or 1/2
Step-by-step explanation:
you have 9 numbers and 9 letters. you know that you have 18 on the bottom because or 9+9=18. this just means that the probability that you will get a number twice is 1/2 because the two are independant.
A florist arranges 4 flower arrangements in 92 minutes.
At this rate, how many many flower arrangements are made in 207 mintues?
Enter your answer in the box.
Answer:
[tex]\boxed {\boxed {\sf 9 \ arrangements }}[/tex]
Step-by-step explanation:
Let's set up a proportion using the following setup:
[tex]\frac{arrangements}{minutes} =\frac{arrangements}{minutes}[/tex]
We know that the florist can arrange 4 in 92 minutes.
[tex]\frac{4 \ arrangements}{92 \ minutes} = \frac{arrangements}{minutes}[/tex]
We don't know how many the florist can arrange in 207 minutes, so we say x arrangements can be completed in 207 minutes.
[tex]\frac{4 \ arrangements}{92 \ minutes} = \frac{ x \ arrangements}{ 207 \ minutes}[/tex]
[tex]\frac{4}{92} =\frac{x}{207}[/tex]
Solve for x by isolating it on one side of the proportion.
x is being divided by 207. The inverse of division is multiplication. Multiply both sides of the proportion by 207.
[tex]207*\frac{4}{92}=\frac{x}{207}*207[/tex]
[tex]207*\frac{4}{92}=x[/tex]
[tex]207*0.0434782609=x[/tex]
[tex]9=x[/tex]
The florist can arrange 9 arrangements in 207 minutes.
The cost of a monthly cell phone plan, in dollars, is modeled by the function c(x)=0.6x+30 where x is the number of text messages.
a. $1.80 per text message
b. $0.60 per text message
c. $3.06 per text message
d. $6.00 per text message
If four loaves of bread costs $8, a loaf of bread and a bag of oranges costs $8, and a loaf of bread, two bags of oranges and a basket of apples costs $19, what is the cost of a basket of apples?
basket of apples cost $6
Step-by-step explanation:
8/4 bread= $2
8-2=6
$6= 1 bag of orange
19-13=6$
ANSWER THIS AND ILL LOVE YOU
find angles FAB and BAC
Answer:
m<FAB = 75°
m<BAC = 105°
Step-by-step explanation:
First, find the value of x.
(13x - 3)° = (3x + 2)° + 55° (exterior angle theorem of a ∆)
Solve for x
13x - 3 = 3x + 2 + 55
13x - 3 = 3x + 57
Collect like terms
13x - 3x = 57 + 3
10x = 60
Divide both sides by 10
x = 6
✔️m<FAB = 13x - 3
Plug in the value of x
m<FAB = 13(6) - 3 = 78 - 3
m<FAB = 75°
✔️m<BAC = 180 - m<FAB (angles on a straight line/supplementary angles)
m<BAC = 180 - 75 (substitution)
m<BAC = 105°
The value of y varies directly with x. When the value y is ⅗, the value of x is 0.125. What is the value of x when the value of y is 12?
Answer:
x = 2.5
Step-by-step explanation:
y varies directly with x means the times that y increases, the times x increases and vice versa.
If y increases from 3/5 to 12 is being increased:
12 / 3/5 = 20 times
Thus, the value of x is being increased by definition, also 20 times. The value of x is:
x = 0.125 * 20 = 2.5
x = 2.5questions on the photo
Answer:
the answer in the photo, look at it
Describe the shaded areas.
9514 1404 393
Answer:
the difference of 2 or 3 rectangles
Step-by-step explanation:
In every case, the "shaded" area can be computed by finding the area of a "bounding" rectangle, and subtracting the areas of the rectangular cutouts that give the figure its shape.
(a) The cutout is the white space at upper right. (Insufficient dimensions are given.)
(b) The cutout is the white space at lower left. The bounding rectangle is 8×7, and the cutout is 4×3.
(c) The cutout is the rectangle in the middle. The bounding rectangle is 13×7, and the cutout is 4×1.
(d) The cutouts are the rectangles on either side. They could be considered as a single unit. The bounding rectangle is 20×25; the cutouts have a total width of 16 and a height of 20, so total 16×20.
(e) Similar to (d), the cutouts are the white spaces on either side. The bounding rectangle is 14×12. The cutouts total 12 in width and 3 in height, so total 12×3.
__
You will note in (d) and (e) that the dimensions of the cutouts have something in common with the dimensions of the bounding rectangle. This means the problem can be simplified a little bit by factoring out that common factor. In (e), for example, 14×12 -(12×3) = 12(14 -3) = 12×11