Answer:
Fatima's points = 46
Zahra's points = 30
Step-by-step explanation:
Let's give names to the unknowns (the number of points each one got)
Fatima's points = y
Zahra's points = x
Now create the equations given by the info they provide:
"Fatima got 16 marks more than Zahra"
y = x + 16
"The product of their mark is 1380."
x * y = 1380
Now use the first equation as substitution for "y" in the second equation:
x * (x + 16) = 1380
reduce the expression:
x^2 + 16 x = 1380
x^2 + 16 x - 1380= 0
Solve using quadratic formula:
[tex]x=\frac{-16+/- \sqrt{16^2+4(1380)} }{2} \\x=\frac{-16+/- \sqrt{5776} }{2} \\x=-8+/- 38\\x = 30\,\,\,or\,\,\,x=-46[/tex]
we pick 30 since the scores from a test must be larger than zero.
Now we use the first equation to solve for the other variable;
y = 30 + 16 = 46
then x = 30 and y = 46
Please!!! Help me :((((
Answer:
1 mile
Step-by-step explanation:
Gilberto needs to purchase baseballs and bats for his youth baseball league. He'll need at least 15 pieces of equipment, but he only has $435 to spend. Baseballs cost $20 each and bats cost $35 each. If Gilberto wants to purchase the most amount of equipment and still stay within his budget, which combination of baseballs and bats is optimal? (2 points)
a (20, 1)
b (13, 5)
c (13, 2)
d (10, 5)
Answer: A) (20, 1)
Step-by-step explanation: Largest number
evaluate the exponent 4 the power of 3
1. 12
2. 81
3. 7
4. 64
________________________________
ps I said 4 to the power of because I put a tiny 3 next to the 4
Answer:
64 or 81
Step-by-step explanation:
If it is 4^3 it would be 4*4*4=64
If it is 3^4 it would be 3*3*3*3=81
(I don't know which one your asking about so I put both)
A company requires a password to access a data storage vault. The password must be 4 characters long and may
contain digits and lowercase letters only.
How many passwords are possible if characters can be repeated? Enter your answer as a number, like this: 425
Answer:
There are 36 possibilities per character (26 lower case letters + 10 numbers), so the total number of permutations are 36^4 = 1,679,616
Step-by-step explanation:
Determine the midpoint of the line segment shown in the figure below
Answer:
.05,.05
Step-by-step explanation:
On the leeward side of the island of Oahu, in a small village, about 74% of the residents are of Hawaiian ancestry. Let n = 1, 2, 3, … represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village. (a) Write out a formula for the probability distribution of the random variable n. (Enter a mathematical expression.) P(n) = (b) Compute the probabilities that n = 1, n = 2, and n = 3. (For each answer, enter a number. Round your answers to three decimal places.) P(1) = 0.740 P(2) = 0.192 P(3) = 0.050 (c) Compute the probability that n ≥ 4. Hint: P(n ≥ 4) = 1 − P(n = 1) − P(n = 2) − P(n = 3). (Enter a number. Round your answer to three decimal places.) 0.018 (d) What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry? Hint: Use μ for the geometric distribution and round. (Enter a number. Round your answer to the nearest whole number.) residents
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Probability distribution of a random variable n :
P(n) = (1 - p)^(n-1) * p
p = 0.74
P(n) = (1 - 0.74)^(n-1) * 0.74
P(n) = (0.74)0.26^n-1
Compute the probabilities that n = 1, n = 2, and n = 3.
n = 1
P(1) = (0.74)0.26^1-1
= 0.74 * 0.26^0
= 0.74
n = 2
P(2) = (0.74)0.26^2-1
= 0.74 * 0.26^1
= 0.74 * 0.26
= 0.192
n = 3
P(3) = (0.74)0.26^3-1
= 0.74 * 0.26^2
= 0.74 * 0.0676
= 0.050
Compute the probability that n ≥ 4.
P(n ≥ 4) = 1 - p(n ≤ 3)
p(n ≤ 3) ; n = 1, n = 2, n = 3
p(n = 1) = 0.74
p(n = 2) = 0.192
p(n = 3) = 0.050
P(n ≥ 4) = 1 - (0.74 + 0.192 + 0.050)
P(n ≥ 4) = 1 - 0.982
P(n ≥ 4) = 0.018
(d) What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry?
Expected number of residents (μ) :
μ = (1 - p) / p
p = 0.74
μ = (1 - 0.74) / 0.74
μ = 0.26 / 0.74
μ = 0.35
Lisa used 1/4 cups of milk per batch using her muffin recipes. How many cups of Milan will she use when she made 6 batches of muffins?
Answer:
1 1/2
Step-by-step explanation:
1/4 cups * 6 batches = 1/4 * 6 = 6/4 = 1 2/4 = 1 1/2
The Perimeter of a triangle is 90 cm. The triangle has side lengths of 2x + 5, 4x - 10, and x + 4. Find the value of x and the length of each side.
Answer:
This makes no sense as you dont say what type of triangle it is
Step-by-step explanation:
If its a equallateral its x = 89/7
Kelsey graphed the equation y = 3x + 1 as shown below.
On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).
Which describes Kelsey’s error?
Kelsey graphed the y-intercept on the x-axis.
Kelsey graphed –3 instead of 3 as the y-intercept.
Kelsey graphed the slope as up 1 right 1 instead of up 1 left 1.
Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.
Answer:
D. Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.
Step-by-step explanation:
The equation to graph was : y= 3x + 1 where the slope is 3 and the y-intercept is 1
However, Kelsey graph line passes through points (-3, 0)and (0, 3).From these points the equation of the line is;
m=Δy/Δx where
m=the slope of the graph
Δy= 3-0 =3
Δx= 0--3 =3
m=3/3 = 1
The equation of the line should be;
m=Δy/Δx
1=y-3/x-0
1x= y-3
3+1x= y
y= 1x + 3 ----------where the slope is 1 and y-intercept is 3
So you can see here that in the original equation, the slope m is 3 and y-intercept is 1 as shown in the first attached graph.
While in the Kelsey's graph, the slope is 1 and the y-intercept is 3 as in the second attached graph.
Thus, the correct answer is D : Kelsey graphed the slope,3 as the y-intercept and the y-intercept,1, as the slope.
Answer choice A is incorrect because Kelsey didnot graph the y-intercept, 1 on the x-axis but graphed point (-3,0) on the x-axis.
Answer choice B is incorrect because on Kelsey's equation the y-intercept is 3 and not -3. i.e. y=1x + 3
Answer choice C is incorrect because Kelsey graphed the slope as up 1 right 1 which is okay per the equation , y=1x+3.However, this incorrect because the correct graph has a slope of 3.
Answer:
the answer is the last option
Step-by-step explanation:
hope this helps
have a good day
did the test on edge
21π
Rational
Irrational
Answer: Rational
Step-by-step explanation:
21[tex]\pi[/tex] is rational because it is [tex]\pi[/tex] times 21 which is 65.9734457254 and numbers that terminate or repeat are rational.
Joanne has a cell phone plan that charges a flat rate of $97 and $0.10 for every text she sends. Her goal is to spend less than $113 on her phone bill each month. Which of the following describes the number of texts she sends? (2 points)
a at least 160
b no more than 160
c fewer than 160
d more than 160
Can any body answer me what ia 2+2
4
four
This is the answer.
Thanks for free points.
I WILL GIVE BRAINLIEST
Can someone help me out with this??
Answer:
record time
Step-by-step explanation:
code word is record time
Answer: R E C O R D T I M E
Step-by-step explanation:
first u start, they you go to the 2 path, then you reach R Which is 4 so you go in the 4 path then to to the E path, which is 1 so you go down to the C path, then after that its equales -1 so then you go to the o path the answer is -6 so you got to that path R, then it equals -4 so then u go to the D path then after that u would go to the T path then after that u go to the I path cause it equals -7 then head to M cause it equals -8 the finish E
Number 9 please is each triangle a right triangle? EXPLAIN
It is not because a right triangle needs one right angle, and a right angle is 90 degrees
Step-by-step explanation:
Answer:
A right triangle is a triangle in which one of the angles is a 90∘ angle.
Step-by-step explanation:
The "square" at the vertex of the angle indicates that it is 90 degrees. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.
Isabel purchased a prepaid phone card for $20. Long-distance calls cost 18 cents a minute using this card. Isabel used her card only once to make a long-distance call. If the remaining credit on her card is $14.24, how many minutes did her call last?
Answer:
20 - .07c = 17.13
20 - 17.13 = 2.87
2.87/7 = 41
Her call took 41 minutes
Step-by-step explanation:
Ratio of dolls to teddy bears is 6:5. There are 240 dolls, how many teddy bears?
Answer:
nusfj
Step-by-step explanation:
fsdafsf
The numbers 8, 1, −7, −12 are listed from greatest to least.
True or False
Answer:True
Step-by-step explanation:
114 = 3x +18 what is the missing vaule
Answer:
x=32
Step-by-step explanation:
Hope this helps. Have a great day and plz give brainliest.
#1.) What is the slope between point C and Point D? *Please Show All Work*
#2.) What is the equation of the line (Slope-Intercept Form: y = mx + b) that represents the climb from Point C to Point D? *Please Show All Work*
#3.) What is the domain and range the C to D part of the roller coaster?
Answer:
1. [tex] m = slope = \frac{12}{7} [/tex]
2. [tex] y = \frac{12}{7}x [/tex]
3. Domain: 0≤x≤7
Range: 0≤y≤12
Step-by-step explanation:
1. Assuming 1 unit = 1 box on the grid, therefore, coordinates of C and D would be:
C(0, 0),
D(7, 12)
[tex] Slope = m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 0}{7 - 0} = \frac{12}{7} [/tex]
2. Equation of the using the slope-intercept formula, [tex] y = mx + b [/tex], where,
[tex] m = slope = \frac{12}{7} [/tex]
b = y-intercept, which is where the line CD cuts the y-axis = 0
Plug in the values for m and b into the formula to get the equation of the line:
[tex] y = \frac{12}{7}x + 0 [/tex]
[tex] y = \frac{12}{7}x [/tex]
3. The domain for C to D part = all x-values = 0≤x≤7
The range = all y-values = 0≤y≤12
One loop around the park is Three and three-fourths miles. How far did Alyssa run if she ran Two-thirds of the way around the loop?
Step-by-step explanation:
One loop= 3+3/4= 15/4 miles
Two-third of the loop= 2/3*(15/4)
= 5/2 = 2.5 miles
Hope it helps :)
Answer:
Hi There!
Your answer is:
Alyssa ran 2 and a half miles if she ran 2/3rds of the loop.
Step-by-step explanation:
1 loop= 3 & 3/4ths miles
WE NEED: 2/3rds of a loop
1 loop/ 3 = 3& 3/4ths miles /3
CHANGE MILES TO IMPROPER FRACTION!
1/3 loop = 15/4ths divided by 3
Multiply 15/4ths by the inverse of 3
15/4ths * 1/3 = 15/ 12
SIMPLIFY
1 & 3/12 or 1& 1/4
1/3loop = 1 & 1/4th mile
To get 2/3rds loop, multiply both sides by 2
2/3rds loop = 2 & 1/2 Miles
Hope this helps
A. What is the experimental (or independent) variable?
b. The consumer variable (whether they normally disclose or not disclose goals ) in the experiment is considered as a _________ variable.
c. What is the dependent variable?
D. Describe one possible main effect?
e. Describe an interaction effect?
F. What is the purpose of random assignment in this experiment. Be specific.
2. Design a test marketing study
An account grows at an annual interest rate of r , so it grows by a factor of x=1+r each year. The function A(x)=800x 4 +350x 3 +500x 2 +600x gives the amount in the account after 4 years when the growth factor is x . What is the total amount in the account if the interest rate for the account is 3% each year? How much money was put into the account at the beginning?
Given:
Annual interest rate = r%
Growth factor : x = 1 + r
The below function gives the amount in the account after 4 years when the growth factor is x .
[tex]A(x)=800x^4+350x^3+500x^2+600x[/tex]
To find:
The total amount in the account if the interest rate for the account is 3% each year and initial amount.
Solution:
Rate of interest = 3% = 0.03
Growth factor : x = 1 + 0.03 = 1.03
We have,
[tex]A(x)=800x^4+350x^3+500x^2+600x[/tex]
Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.
[tex]A(1.03)=800(1.03)^4+350(1.03)^3+500(1.03)^2+600(1.03)[/tex]
[tex]A(1.03)=800(1.12550881)+350(1.092727)+500(1.0609 )+618[/tex]
[tex]A(1.03)=900.407048+382.45445+530.45+618[/tex]
[tex]A(1.03)=2431.311498 [/tex]
[tex]A(1.03)\approx 2431.31 [/tex]
Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.
For initial amount the rate of interest is 0.
Growth factor : x = 1 + 0 = 1
Substitute x=0 in the given function to find the initial amount.
[tex]A(1)=800(1)^4+350(1)^3+500(1)^2+600(1)[/tex]
[tex]A(1)=800+350+500+600[/tex]
[tex]A(1)=2250[/tex]
Therefore, 2250 was put into the account at the beginning.
While working out, Susie does 25 sit-ups for every 12 push-ups. If she does 60 push-ups, how many sit-ups will she do?
Answer:
125 situps
Step-by-step explanation:
We can use a ratio to solve
25 situp x situps
--------------- = --------------
12 pushup 60 pushups
Using cross products
25 * 60 = 12x
Divide each side by 12
25*60/12 = 12x/12
125 = x
Translate this sentence into an equation.
The sum of 14 and Greg's height is 64.
Use the variable g to represent Greg's height.
Answer:
g+14=64
Step-by-step explanation:
Answer:
64=14+g
Step-by-step explanation:
Sum of two numbers is 64, so that means you put 64 before the equals sign. All that remains is g and 14. It says the sum of 14 and g (gregs height) equals 64, so you know that in the equation they have to be added together.
Can someone help me with this answer please. In hanley's school, 0.495 of the students participated in a club. If there are one thousand students in Hanley's school, how many participated in the club?
Answer:
495
Step-by-step explanation:
0.495 x 1000 = 495
Your hourly wage is $9.30 per hour plus $0.90 for each unit produce. How many units must you produce in one hour so that your hourly wage is $18.30?
Answer:
10 units produce
Step-by-step explanation:
9.3+.9x=18.3
.9x=9
Divide
x=10
Answer:
10 units
Step-by-step explanation:
10*0.90=9 units
9+9.30=18.30
Sanjay’s present age is ‘y’ years. Form an algebraic expression for:
a)Sanjay’s age 7 years from now
b)Sanjay’s brother’s age is 4 years less than Sanjay’s presentage
c)Sanjay’s mother’s age is 3 times that of Sanjay’spresentage.
d)Sanjay’s grandfather’s age is 30years more than Sanjay’s mother’sage.
e)Sanjay’s father’s age is 8 years more than 6 times Sanjay’s age.
Answer:
a. y + 7
b. y - 4
c. y times 3 or 3y
d. 3y + 30
e. 6y + 8
Step-by-step explanation:
Algebraic expressions don't need to be a complete equation.
How would you find the quadratic that goes through the point (4,0), the axis of symmetry is x=7, and it also goes through the point (1,5)?
9514 1404 393
Answer:
y = (5/27)(x -7)^2 -5/3
Step-by-step explanation:
Use the given points to find the unknowns in the equation.
If the axis of symmetry is x=7, then the equation can be written in the form ...
y = a(x -7)^2 +b
Filling in the two point values, we have two equations:
0 = a(4 -7)^2 +b ⇒ 9a +b = 0
5 = a(1 -7)^2 +b ⇒ 36a +b = 5
__
Subtracting the first equation from the second, we have ...
(36a +b) -(9a +b) = (5) -(0)
27a = 5
a = 5/27
Substituting that value into the first equation gives ...
9(5/27) +b = 0
5/3 +b = 0
b = -5/3
So, the quadratic can be written in vertex form as ...
y = (5/27)(x -7)^2 -5/3
QUADRATIC EQUATION – WORD PROBLEMS
The length of a playground is 15 meters more than the width and the area is 2700 . If the width is x m, find an equation in x and hence, find the dimensions of the classroom.
The answer width =45 m , length = 60 m
I just need the steps
Answer:
let the width of the playground be X
length will be (X+15)
area - length * width = 2700
(X+15)* X = 2700
x^2+15x-2700=0
x^2+60x-45x-2700=0
X(X+60)-45(X+60)=0
(X+60)(x-45)=0
x=45 because, the dimensions cannot be in negative
so length = 60 and width = 45
Which choice is equivalent to the expression below? √-49
btw its 7i
Answer:
7
Step-by-step explanation:
