Answer:
0.8x + 3y = 10
0.85x + 2.50y = 12
Step-by-step explanation:
Given :
Spending at first store :
Cost of Banana = 80 cent per pound = 0.80
Cost of apple = $3 per pound
Total amount spent = $10
Pounds of banana = x
Pounds of apple = y
0.8x + 3y = 10 - - - (1)
Spending at second store :
Cost of Banana = 80 cent per pound = 0.85
Cost of apple = $2.50 per pound
Total amount spent = $12
Pounds of banana = x
Pounds of apple = y
0.85x + 2.50y = 12 - - - - (2)
Which of the following graphs can be used to find the solution to x2 – 4x + 3 = 0?
Answer:
D
Step-by-step explanation:
it would be d because that's where the 3 is in the y axis
Answer:
A
Step-by-step explanation:
Graph A shows the parabola intersecting the x-axis at 1 and 3. Which are the solutions to the equation when you solve it by factoring, using the quadratic formula, the PQ formula, or completing the square.
which expression could be used to determine the product of -4 and 3 1/4
Answer:
B (-4)(3) + (-4)(1/4)
Step-by-step explanation:
We must find the product of -4 and 3 1/4, which is (-4)(3 1/4). We know that 3 1/4 = 3 + 1/4, so we substitute that to the expression we want.
(-4)(3 1/4) = (-4)(3 + 1/4)
Using the distributive property, we distribute the -4 to the 3 and the 1/4 and the expression becomes
(-4)(3 + 1/4) = (-4)(3) + (-4)(1/4)
I hope this helps! :)
What are the more appropriate measures of center and spread for this data
set?
5
18
22 24 26
H
02
4 B
3 10 12 14 16 18 20 22 24 26 28 30
Select two choices: one for the center and one for the spread.
A. Better measure of center: the mean
O B. Better measure of spread: the standard deviation
I c. Better measure of center: the median
I D. Better measure of spread the interquartile range (IOR)
Answer:
C and D
Step-by-step explanation:
The data is represented in a box plot given. In a box plot, the min, max, median, Q1, and Q3 are displayed.
If you want to measure the center of the data, you can make use of the median.
Also, an appropriate measure of spread to use is the interquartile range.
Interquartile range = Q3 - Q1.
Better measure of center to use is Mean while better measure of spread is interquartile range.
The correct options for measures of center and spread for the data set is option C and D
What are the best measures of center and spread of the data?The measures of center of data include the mean, median and mode.
The measures of spread include range, mean deviation, variance and standard deviation.
The give dat is a box plot where the min, max, median, Q1, and Q3 are shown.
The best measure of the center of the data, is the median.
The appropriate measure of spread is the interquartile range.
In conclusion, the more appropriate measures of center and spread for the data set is median and interquartile range respectively.
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Three coins are flipped. What is the probability that all three coins will match?
Answer:
25%
Step-by-step explanation:
We can also show this from the results table below: There are 8 possible outcomes for tossing three coins. Two of these outcomes are either all heads or all tails, Therefore there is a 28=14=0.25=25% chance of getting all heads or all tails.
Express the area of the entire rectangle.
Your answer should be a polynomial in standard
form. X+9 top x+2
Pls help i will mark the brainliest!
Explanation:
The blue rectangle is x*x = x^2 in areaThe pink rectangle has area of x*9 or 9xThe green rectangle has area 2*x or 2xThe orange rectangle has area 2*9 = 18Add up those areas to get the final answer
x^2+9x+2x+18 = x^2+11x+18
note the like terms 9x and 2x combine to 11x
what is the value of the digit 4 in 543 007?
in 2 453 871, what digit is in the ten thousands place?
what is the place value of digit 3 in 0.371?
what is value of digit 9 in 2.8591?
Please help me thanks for your answer!
Answer:
value of 4 in 543007 is 40,000 bc it falls in the 10,000 spot.
1=2
2=8
3=18
4=32
5=?
you and your four friends go to the water park. it is $10 each for tickets, and y dollars for lunch.
a. use the distributive property to write and simplify an expression for the total the group pays.
b. how much does the group pay when the lunches cost $4?
Answer:
56 dollars
Step-by-step explanation:
idfk 56 dollars is the answer tho
Determine the location and absolute maximum and absolute minimum for the given function f(x)=(_x+2)^4 where 0
Answer:
the minimum is 0 and the maximum is 16.
Step-by-step explanation:
For a function f(x), the maximum is defined as:
f(xₐ)
such that:
f(xₐ) ≥ f(x) for every value of x in the domain.
And the minimum is:
f(xₙ)
Such that:
f(xₙ) ≤ f(x)
for every value of x.
Now, in this case we have the function:
f(x) = (-x + 2)^4 in the range 0 < x < 3
First, let's analyze our function.
We can see that the exponent is even, then:
f(x) = (-x + 2)^4
Can be equal to zero or larger than zero.
Then the minimum will be f(x) = 0
To find this, we need to find the value of x such that:
-x +2 = 0
2 = x
Then the minimum is:
f(2) = (-2 + 2)^4 = 0
For the maximum, we can just play with the other values in the range and see which one gives the larger value of f(x).
Again, because f(x) = (-x + 2)^4 , the maximum will be at the value of x such that:
|-x + 2| is maximized.
As we have a negative sign multiplying x, the smaller value in the range:
x = 0
is the one that maximizes that:
|-0 + 2| = |2| = 2
Evaluating f(x) in x = 0 we get:
f(0) = (0 + 2)^4 = 16
Then the minimum is 0 and the maximum is 16.
does anyone know how to solve this
Step-by-step explanation:
7 + 2x + 3 = x + 10
2x - x = 10 - 7 - 3
x = 0
What?
I don't think this helps...
Answer:
x = 0.
Step-by-step explanation:
The distance between the point U and W are x + 10 and 2x + 3 + 7 so we can make the following equation:
x + 10 = 2x + 3 + 7
x + 10 = 2x + 10
Subtract 10 from both sides:
x = 2x
Subtract x from both sides:
0 = x
x = 0
What is 6/22 as percent?
Answer:
27%
Step-by-step explanation:
divide 6 by 22. you get .27 and then you move the decimal point to the right twice
Answer:
27%
Step-by-step explanation:
six divided by twenty two is 0.272, which is 27%
How many minutes is it from 11:50 to 12:18
Answer:
28 minutes
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
so it is 28 minutes
Step-by-step explanation:
If f(x) = x2 + 4, find f(3)
Answer:
c. 13
Explanation:
f(x) = x² + 4
f(3) = (3)² + 4
= 9 + 4
= 13
I’m not sure of the answer.
Step-by-step explanation:
l hope it helps mark the brainliest plzz
Answer:
option c is correct
Step-by-step explanation:
(3x^2 + 3)(4 + x^3)
=3x^2(4 + x^3) +3(4 + x^3)
=12x^2 + 3x^5 +12 +3x^3
=3x^5 + 3x^3 + 12x^2 + 12
Item 22
The distance between Cleo's home and work is 9 kilometers. She travels between home and work 36 times each month.
How many kilometers does Cleo travel between home and work each month?
Answer:
324 kilometres
What I did was do 36x10 which is 360
Then I did 360-36=24 because the question wants 9x36 not 10x36
What is the probability that a standard number cube will show a two, five, or six when it is rolled?
Answer:
[tex]p=0.5[/tex]
Step-by-step explanation:
A standard die has six numbers (1 through 6). That means there is a 1/6 probability of rolling any one number. There is a 3/6 probability of rolling one of the selected numbers which simplifies to 1/2 or 0.50
Suppose F⃗ (x,y)=(x+3)i⃗ +(6y+3)j⃗ . Use the fundamental theorem of line integrals to calculate the following.
(a) The line integral of F⃗ along the line segment C from the point P=(1,0) to the point Q=(3,3).
∫CF⃗ ⋅dr⃗ =?
(b) The line integral of F⃗ along the triangle C from the origin to the point P=(1,0) to the point Q=(3,3) and back to the origin.
∫CF⃗ ⋅dr⃗ =?
In order to use the fundamental theorem of line integrals, you need to find a scalar potential function - that is, a scalar function f(x, y) for which
grad f(x, y) = F(x, y)
This amounts to solving for f such that
∂f/dx = x + 3
∂f/∂y = 6y + 3
Integrating both sides of the first equation with respect to x gives
f = 1/2 x ^2 + 3x + g(y)
Differentiating with respect to y gives
∂f/∂y = dg/dy = 6y + 3
Solving for g gives
g = ∫ (6y + 3) dy = 3y ^2 + 3y + C
and hence
f(x, y) = 1/2 x ^2 + 3x + 3y ^2 + 3y + C
(a) By the fundamental theorem, the integral of F along any path starting at the point P (1, 0) and ending at Q (3, 3) is
∫ F(x, y) • dr = f (3, 3) - f (1, 0) = 99/2 - 7/2 = 46
(b) Now we're talking about a closed path, so the integral is simply 0. We can verify this by checking the integral over the origin-containing paths:
• From the origin to P :
∫ F(x, y) • dr = f (1, 0) - f (0, 0) = 7/2 - 0 = 7/2
• From Q back to the origin:
∫ F(x, y) • dr = f (0, 0) - f (3, 3) = 0 - 99/2 = -99/2
Then the total integral is 7/2 + 46 - 99/2 = 0, as expected.
Help if you don't know, don't touch it
Answer:
I need to know what the radius or diameter is to answer this question
Question 1
If mZHOE =19° and mZHOP=48°, find mZEOP.
H
O
Р
Answer:
mEOP is 29°
Step-by-step explanation:
mHOP is 48° and mHOE is 19°, so to get the missing angle you subtract the smaller value from the total to get 29°
- 19-48=29
Consider a different experiment: EXPERIMENT: A bag contains 3 red balls, 4 blue balls, 4 green balls and 3 yellow balls. One ball is drawn at random and then returned to the bag. Then a ball is drawn again, possibly the same one or a different one.
(a) Specify the sample space (set of outcomes) and probability distribution of the outcomes.
(b) What is the probability that both balls drawn were red balls?
(c) Starting over with all 14 balls back in the bag, what is the probability that both draws were balls of different colors?
Answer:
a) Sample space = RR, RB, RG, RY, BB, BR, BG, BY, GG, GR, GB, GY, YY, YR, YB, YG .
probability distribution of outcomes
= (3/14*3/14), (3/14*4/14), (3/14*4/14), (3/14*3/14), (4/14 *4/14 ), (4/14*3/14), (4/14 * 4/14), (4/14 * 3/14 ), ( 4/14 *4/14 ), (4/14*3/14), ( 4/14 *4/14 ),
(4/14*3/14), (3/14 *3/14 ), (3/14*3/14), (3/14 *4/14 ), ( 3/14 * 4/14 )
b) 0.0459
c) ( 3/14 * 4/14 ) + ( 3/14 * 4/14 ) + ( 3/14 * 3/14 ) + ------ ( 3/14 * 4/14 )
Step-by-step explanation:
Total number of balls = 3 + 4 + 4 + 3 = 14 balls
3 Red balls = 3/14
4 blue balls = 4/14
4 green balls = 4/14
3 yellow balls = 3/14
a) Determine the sample space and probability distribution of outcomes
since ball is drawn with replacement
Sample space = RR, RB, RG, RY, BB, BR, BG, BY, GG, GR, GB, GY, YY, YR, YB, YG .
i.e. The sample space has 16 possible combination
probability distribution of outcomes
= (3/14*3/14), (3/14*4/14), (3/14*4/14), (3/14*3/14), (4/14 *4/14 ), (4/14*3/14), (4/14 * 4/14), (4/14 * 3/14 ), ( 4/14 *4/14 ), (4/14*3/14), ( 4/14 *4/14 ),
(4/14*3/14), (3/14 *3/14 ), (3/14*3/14), (3/14 *4/14 ), ( 3/14 * 4/14 )
b) Determine P( R and R )
P ( R and R ) = 3/14 * 3/14
= 9/196 = 0.0459
C) Determine probability of drawing two different balls
P( R and B ) + P ( R and G ) + P ( R and Y ) + ------ P ( Y and G )
= ( 3/14 * 4/14 ) + ( 3/14 * 4/14 ) + ( 3/14 * 3/14 ) + ------ ( 3/14 * 4/14 )
Judson collected information about the name length and the population of a random sample of 296 American cities. Here are the results:
Name length Less than Between 150,000 More than Total
150,000 and 250,000 250,000
Less than 8
characters 30 29 41 100
8 to 10
characters 43 41 33 117
More than 10
characters 26 28 25 79
Total 99 98 99 296
Judson wants to perform a X2 test of independence between name length and population. What is the expected count for the cell corresponding to cities with more than 250,000 residents whose name has less than 8 characters?
The expected count for the cell corresponding to cities with more than 250,000 residents whose name has less than 8 characters is A = 33.45
What is the probability distribution?A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.
The mean of probability distribution is also known as expected value. It is denoted by E ( X ). E(X), or mean μ of a discrete random variable X is calculated by multiplying each value of the random variable by its probability and taking the sum of the values.
E ( X ) = μ = ∑x P ( x )
Given data ,
To find the expected count for the cell corresponding to cities with more than 250,000 residents whose name has less than 8 characters, we need to calculate the expected count for that cell using the formula:
Expected Count = (row total * column total) / grand total
The row total for cities with more than 250,000 residents is 99, and the column total for names with less than 8 characters is 100. The grand total is 296
Expected Count = (99 * 100) / 296
Expected Count ≈ 33.45
Therefore , the expected count for the cell corresponding to cities with more than 250,000 residents whose name has less than 8 characters is approximately 26.67
Hence , the distribution is 33.45
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The complete question is attached below :
Judson collected information about the name length and the population of a random sample of 296 American cities. Here are the results:
Judson wants to perform a X2 test of independence between name length and population. What is the expected count for the cell corresponding to cities with more than 250,000 residents whose name has less than 8 characters?
if loga (n) = 16, find loga (sqrtt n)
Answer:
8
Step-by-step explanation:
by definition:
[tex]log_an=16\\\\log_a\sqrt{n}=log_a n^{\frac{1}{2}}=\frac{1}{2}log_a n=\frac{1}{2}(16)=8[/tex]
If c is the number of cats, which variable expression represents the phrase
below?
The sum of the number of cats and 15 dogs
A. C+15
B. C-15
C. c. 15
D.
15
the answer would be A.) C+15
tell whether the given value is a solution of the inequality. please answer these questions i will mark you brainliest
Answer:12 yes 14 no 16 yes
Step-by-step explanation:its hard to explain
just plug the value in
12.
17 + 5 < 13
22 < 13
false
14.
10/2>6
5>6
false, you are correct
16.
-5 =< 0
it just has to be less OR equal
so it's true, it is a solution
1. James and Alexis simplified the expression 5 + 42 - 6/3. James' said the answer is
10, while Alexis' said the answer is 19. Who is correct? How do you know? How
should you apply the order of operations to this problem to simplify?
Answer:
19
Step-by-step explanation:
5 + 4^2 - 6/3
= 5 + 16 - 2
= 21 - 2
= 19
[tex]x {}^{2} - 4x + 58 = 23[/tex]
[tex] {4}^{2} \times 2 - 56 + 2 \sqrt{4} [/tex]
please,help me with these equations
= x² - 4x + 58 - 23 = 0
= x² - 4x + 35 = 0
Sorry but it cann't be solved more futher.
4² × 2 + 56 + 2√4= 16 × 2 + 56 + 2√4
= 32 + 56 + 2√4
= 88 + 2√4
Will mark Brainlest help me to find the value of x (step by step) pls
Answer:
5 (cm)
Step-by-step explanation:
1. according to the condition in ΔABC: AC=BC, m∠C=90°. Then m∠B=m∠A=45° and
2. x=AC=AB/√2; ⇔ x=5 (cm).
Answer:
x=5 cm
Step-by-step explanation:
triangle ABC is an isoceles triangle
so BC=AC and angle A=angle B
BC=X and angle A=theta
angle B and angle A both is theta degree because base angles of an isosceles triangle are equal
to find angle A and B
angle A + angle B + angle c=180 degree (sum of interior angles of a triangle)
theta + theta +90=180
2theta=180-90
2theta=90
theta=90/2
theta=45 degree
sin both angle A and angle B are theta their value is 45 degree.
For side x
now using pythagoras theorem
take theta as reference angle
using sin rule
sin 45=opposite/hypotenuse
[tex]\frac{1}{\sqrt{2} }[/tex] =x/[tex]5\sqrt{2}[/tex]
[tex]\frac{1}{\sqrt{2} } *5\sqrt{2}[/tex]=x
[tex]\frac{5\sqrt{2} }{\sqrt{2} } }[/tex]=x
5=x
use algebraic manipulation to find the minimum sum-of-products expression for the function x1x2'x3' + x1x2x4+x1x2'x3x4'
The minimum sum-of-products expression for the given Boolean function is x₁[x₂'x₃' + x₂'x₄' + x₂x₄] .
To find the minimum sum-of-products expression for the given Boolean function, we can use algebraic manipulation techniques, including Boolean algebra laws and Karnaugh maps.
Let's start with the given expression:
F = x₁x₂'x₃' + x₁x₂x₄ + x₁x₂'x₃x₄'
F = x₁[x₂'x₃' + x₂x₄ + x₂'x₃x₄']
F = x₁[x₂'(x₃' + x₃x₄') + x₂x₄] ....(1)
As we know that the Boolean rule as:
a + bc = (a + b)(a + c)
a' + a = 1
As per the equation (1),
F = x₁[x₂'{(x₃' + x₃)(x₃'+x₄') + x₂x₄]
F = x₁[x₂'x₃' + x₂'x₄' + x₂x₄]
Thus, the minimum sum-of-products expression for the given Boolean function is x₁[x₂'x₃' + x₂'x₄' + x₂x₄] .
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Is this graph standard, vertex, or intercept?
Step-by-step explanation:
It's an intercept graph
convert into decimal 8%
Answer:
Percent to decimal conversion table
Percent Decimal
8% 0.08
