Answer:
Which two ratios represent quantities that are proportional?
Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
Step-by-step explanation:
Can u please answer my recent question!!!!!
If a loading ramp is placed next to a truck, at a height of 3 feet, and the ramp is 17 feet long, what angle does the ramp make with the ground
Answer:
10.16°
Step-by-step explanation:
To solve for this question, we use Sine rule
Sin θ = Opposite/Hypotenuse
θ =??
Opposite = Height of the truck = 3 feet
Hypotenuse = length of the ramp = 17 feet
Hence
Sin θ = 3/17
Sin θ = 0.1764705882
θ = arcsin(0.1764705882)
θ = 10.16424862°
Approximately
10.16°
The angle the ramp makes with the ground is 10.16°
The angle that the ramp makes with the ground is 10.2 degrees
The set-up will give a right triangle.
Given the following parameters:
Length of the ramp = 17feet (hypotenuse)Height of the truck = 3feet (opposite)To get the angle of elevation, we will use the SOH CAH TOA identity as shown:
Sin theta = opp/hyp
Sin theta = 3/17
theta = arcsin(3/17)
theta = 10.2 degrees
Hence the angle that the ramp makes with the ground is 10.2 degrees
Learn more on trigonometry here: https://brainly.com/question/24349828
g About 52% of American adults live in middle-income households. Suppose a sample of 20 American adults is selected. Let X be the number of adults from the sample that live in middle-income households. What is the probability distribution of X
Answer:
P (x= 0) = 0.00384
P (x= 1) = 0.000009133
P (x= 2) = 0.00009399
P (x= 3) = 0.0061
P (x= 4) = 0.00281
P (x= 5) = 0.00975
P (x= 6) = 0.0264
P (x= 7) = 0.05772
P (x= 8) = 0.0202
P (x= 9) = 0.14550
P (x= 10) = 0.1733
P (x= 11) = 0.17077
P (x= 12) = 0.138751
P (x= 13) = 0.0925
P (x= 14) = 0.0501
P (x= 15) = 0.0217
P (x= 16) = 0.00735
P (x= 17) = 0.00187
P (x= 18) = 0.000259
P (x= 19) = 2 0.0000385
P (x= 20) =0.000000208
Step-by-step explanation:
This is a binomila probability distribution as the success and failure are same and number of trials is fixed.
Here p =0.52 and q= 1-0.52= 0.48
n= 20 Now the probability distribution of X = 0,1,2,--------20
Applying the binomial distribution we can find the probability distribution of X taking the different values as
P (x= 0) = 20c0 (0.52)^0 (0.48)^20= 0.00384
P (x= 1) = 20c1 (0.52)^1 (0.48)^19= 0.000009133
P (x= 2) = 20c2 (0.52)^2 (0.48)^18= 0.00009399
P (x= 3) = 20c3 (0.52)^3 (0.48)^17= 0.0061
P (x= 4) = 20c4 (0.52)^4 (0.48)^16= 0.00281
P (x= 5) = 20c5 (0.52)^5 (0.48)^15= 0.00975
P (x= 6) = 20c6 (0.52)^6 (0.48)^14= 0.0264
P (x= 7) = 20c7 (0.52)^7 (0.48)^13= 0.05772
P (x= 8) = 20c8 (0.52)^8 (0.48)^12= 0.0202
P (x= 9) = 20c9 (0.52)^9 (0.48)^11= 0.14550
P (x= 10) = 20c10 (0.52)^10 (0.48)^10= 0.1733
P (x= 11) = 20c11 (0.52)^11 (0.48)^9= 0.17077
P (x= 12) = 20c12 (0.52)^12 (0.48)^8= 0.138751
P (x= 13) = 20c13 (0.52)^13 (0.48)^7= 0.0925
P (x= 14) = 20c14 (0.52)^14 (0.48)^6= 0.0501
P (x= 15) = 20c15 (0.52)^15 (0.48)^5= 0.0217
P (x= 16) = 20c16 (0.52)^16 (0.48)^4= 0.00735
P (x= 17) = 20c17 (0.52)^17 (0.48)^3= 0.00187
P (x= 18) = 20c18 (0.52)^18 (0.48)^2= 0.000259
P (x= 19) = 20c19 (0.52)^19 (0.48)^1= 0.0000385
P (x= 20) = 20c20 (0.52)^20 (0.48)^0= 0.000000208
What is the y coordinate of point T? Write a decimal coordinate. - 3 . 3 -777 1.7
Answer:
I never learned that sorry ♀️
tudents attending an international event were asked if they can speak Arabic or Chinese. 25% speak Arabic, 20% speak Chinese, 10% speak both languages. Assume random selection: a. What is the probability that the student can speak Chinese or Arabic
Answer:
P(A ∪ C) = 0.35
Step-by-step explanation:
Given:
25% speak Arabic
20% speak Chinese
10% speak both languages
Find:
Probability that the student can speak Chinese or Arabic P(A U C)
Computation:
P(A ∪ C) = P(A) + P(C) - P(A ∩ C)
P(A ∪ C) = 0.25 + 0.2 - 0.1
P(A ∪ C) = 0.35
Find the interest rate implied by the following combinations of present and future values:
Present Value Years Future Value Interest Rate
$310 12 496 %
138 5 194 %
210 8 210 %
Answer:
The interest rates implied by the combinations of present and future values are:
Present Value Years Future Value Interest Rate
$310 12 496 3.994%
138 5 194 7.049%
210 8 210 -0.000%
Step-by-step explanation:
a) Data and Calculations:
Present Value Years Future Value Interest Rate
$310 12 496 3.994 %
138 5 194 7.049%
210 8 210 -0.000%
b) You will need an annual return rate of 3.994% to reach the future value of $496.00.
FV (Future Value) $496.00
PV (Present Value) $310.00
N (Number of Periods) 12.000
I/Y (Interest Rate) 3.994%
PMT (Periodic Payment) $0.00
Starting Investment $310.00
Total Principal $310.00
Total Interest $186.00
c) You will need an annual return rate of 7.049% to reach the future value of $194.00.
FV (Future Value) $194.00
PV (Present Value) $138.00
N (Number of Periods) 5.000
I/Y (Interest Rate) 7.049%
PMT (Periodic Payment) $0.00
Starting Investment $138.00
Total Principal $138.00
Total Interest $56.00
d) You will need an annual return rate of -0.000% to reach the future value of $210.00.
FV (Future Value) $210.00
PV (Present Value) $210.00
N (Number of Periods) 8.000
I/Y (Interest Rate) -0.000%
PMT (Periodic Payment) $0.00
Starting Investment $210.00
Total Principal $210.00
Total Interest $-0.00
order the number from least to greatest: 10^5 10^-99 10^-17 10^14 10^-5 10^30
Answer:
I think it goes like this: 10^-99, 10^-17, 10^-5, 10^5, 10^14, 10^30
Step-by-step explanation:
solve for x
x+12+22+x=14
Answer:
X = -10
Step-by-step explanation:
Combine like terms
2x + 34 = 14
minus 34.
2x = -20
divide by 2
x = -10
Answer:
x=-10???
Step-by-step explanation:
I just combined like terms and got it from there.
Can you please help me?
Thank you so much☺
Answer:
Answer: 1. x = 10, y = 6 2. x = 12, y = 3 3. x = 5, y = 2.5 4. x = 1, y = 14 5. x = 0.6, y = 7 6. x = 11, y = 1
Step-by-step explanation:
Ileana drew a marble at random from a bag containing 4 blue 3 red 2 yellow and 5 green marbles. What is the probability that she picked a marble that was not red?
Answer:
=11/14
Step-by-step explanation:
Step-by-step explanation:
Number of blue marbles n(blue)=4
Number of red marbles n(red)=3
number of yellow marbles n(yellow)= 2
number of green marbles n(green)=5
total number of marbles n(S)=4+3+2+5=14
P(red)=n(red)/n(S)
P(red)=3/14
We have to determine the probability that the card picked is not red which means the card can be blue or yellow or green.
P(not red)=1-P(red)
=1-3/14
=11/14
Answer:
11/14
Step-by-step explanation:
These are all the marbles that are there:
4 blue
3 red
2 yellow
5 green
If you want to figure out the probability of a marble not being red, you can either find the probability that the marble is blue, yellow, or green or you could subtract the probability that the marble is red from 1 (same thing either way)
There are 14 marbles and 11 of them are not red, so the the probability that a marble drawn will not be red is 11/14.
Please someone help its calculus and i need #2! Its finding instantaneous rate of change!
Answer:
[tex]\displaystyle 5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringFunctionsFunction NotationCalculus
Limits
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Derivatives
Derivative Notation
Instantons Rate of Change
Step-by-step explanation:
Step 1: Define
Identify
f(x) = 2x² + x - 1
x = 1
Step 2: Find Change
Substitute in variables [Instantaneous Rate of Change]: [tex]\displaystyle \lim_{x \to 1} \frac{f(x) - f(1)}{x - 1}[/tex]Substitute in function: [tex]\displaystyle \lim_{x \to 1} \frac{2x^2 + x - 1 - [2(1)^2 + 1 - 1]}{x - 1}[/tex]Simplify: [tex]\displaystyle \lim_{x \to 1} \frac{2x^2 + x - 1 - 2}{x - 1}[/tex]Combine like terms: [tex]\displaystyle \lim_{x \to 1} \frac{2x^2 + x - 3}{x - 1}[/tex]Factor: [tex]\displaystyle \lim_{x \to 1} \frac{(x - 1)(2x + 3)}{x - 1}[/tex]Simplify: [tex]\displaystyle \lim_{x \to 1} (2x + 3)[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle 2(1) + 3[/tex]Simplify: [tex]\displaystyle 5[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
What is the slope of the line on the graph?
Answer:
y=-2x
Step-by-step explanation:
rise over run. Points to points
you do down 2 to get to another point and you go over 1.
rear makes the slope -2x
Find the value of h(45) for the function below.h(x)=1/9(90-x)
Answer:
5
Step-by-step explanation:
90-45 = 45
45 x 1/9 = 5
45 x 1/9 is the same thing as saying 45/9, FYI
Answer:
5
Step-by-step explanation:
sub 45 into x
h(x) = h(45)
h(45) = 1/9(90-45)
= 1/9(45)
= 5
^^
The scores for math test #3 were normally distributed. If 15 students had a mean score of 74.8% and a standard deviation of 7.57, how many students scored above an 85%?
Answer: 1 student scored above an 85%.
Step-by-step explanation:
Let X = percentage score in test (normally distributed).
Given: Sample size = 15 , mean score : [tex]\mu[/tex]= 74.8% = 0.748 ,standard deviation : [tex]\sigma=7.57[/tex]
Now, The probability that student scores above 85%:
[tex]P(X>85)=P(\dfrac{X-\mu}{\sigma}>\dfrac{85-74.8}{7.57})\\\\=P(Z>1.347)\\\\=1-P(Z<1.347)\\\\=1-0.9110= 0.089[/tex]
Probability that student scores above 85% = 0.089
Number of students scored above an 85% = 0.089 x 15 = 1.335 ≈ 1
hence, 1 student scored above an 85%.
Find the distance between the two points rounding to the nearest tenth (if necessary
(-9, -2) and (-3,6)
Answer:
[tex]d = 10[/tex]
Step-by-step explanation:
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in the 2 coordinates into the distance formula to find distance d:
[tex]d = \sqrt{(-3-(-9))^2+(6-(-2))^2}[/tex]
[tex]d = \sqrt{(-3+9)^2+(6+2)^2}[/tex]
[tex]d = \sqrt{(6)^2+(8)^2}[/tex]
[tex]d = \sqrt{36+64}[/tex]
[tex]d = \sqrt{100}[/tex]
[tex]d = 10[/tex]
Answer:
D=10 is the answer
Step-by-step explanation:
How many groups of 7 are
in 49?
Answer:
7
Step-by-step explanation:
49 /7 = 7
Answer:
7:)
Step-by-step explanation:
group 1-ooooooo=7
group2-ooooooo
ooooooo=14
group 3-ooooooo
ooooooo ooooooo=21
group 4-ooooooo ooooooo=28
ooooooo ooooooo
group 5-ooooooo ooooooo
ooooooo ooooooo ooooooo=35
group 6-ooooooo ooooooo ooooooo
ooooooo ooooooo ooooooo=42
group 7-ooooooo ooooooo ooooooo
ooooooo ooooooo ooooooo
ooooooo=49
7. Aluminum has 3 valence electrons. What property of an element can be determined by
the number of valence electrons?
a Group/family
b. Metal, Nonmetal, or Metalloid
C. Reactivity
d. Atomic Number
The science club is going on a field trip to the science museum. The club has at most $800 to spend on the trip. The bus for the trip costs $100, and meals at the museum cost $4.50 per student. If admission to the museum is $12 per student and $16 per adult, and there are six chaperones attending, how many students can go on the trip? Write inequality to represent the situation. do not solve the inequality. Defined the variable.
Answer:
38 students
Step-by-step explanation:
100+(16x6)=196
800-196=631
4.50+12=16.5
63/116.5=38.24
Answer:
100+4.50(s)+12(s)+96 less than or equal to 800
[tex] \leqslant [/tex]
s=students
Step-by-step explanation:
they can spend up to 800 dollars OR LESS. They have a charge of 100 dollars for the bus, plus a charge of 4.50 per student for lunches, plus a charge of 12 dollars per student for admissions plus 16 dollars times 6 (96) for the chaperones. All of this gives us our inequality above.
I really hope this helps!
PS: the reason why the adults don't get their own variable is because it says to define the variable not variable(s). You also cannot group the adults with the students because the student costs and the adult costs are two totally seperate and different amounts. if you just used variable p for people it wouldn't work because you wouldn't know how many adults were required to pay adult admission.
Solve for x. What is the root? If there is no root, choose none.
Answer:
12
Step-by-step explanation:
It seems like the one that's most likely
Find the product 0.31x 8
Answer:
0.31 x 8=2.48
(>'-'<)
Find the quotient. Round to the nearest hundredth. 8,240 ÷ 30
Evaluate -2x 2y, if x = -3 and y = -1.
* 12
* -12
* 18
* -18
Answer: -12
Step-by-step explanation:
If the equation is multiplying all the numbers, the equation would be -2x2y, which is making the new equation is -2(-3)2(-1). Multiply the numbers 6x-2, which is -12
Suppose the scores on a chemistry test were normally distributed with a mean of 78 and a standard deviation of 10. If a student who completed the test is chosen at random,a.Find the probability that the student earned between 80 and 90 points.b.Find the probability that the student earned either less than 80 points or more than 90 points.
Answer:
a) 0.30567
b) 0.69433
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
,a.Find the probability that the student earned between 80 and 90 points.
For 80 students
z = 80 - 78/10
= 0.2
P-value from Z-Table:
P(x = 80) = 0.57926
For 90 students
z = 90 - 78/10
= 1.2
P-value from Z-Table:
P(x = 90) = 0.88493
The probability that the student earned between 80 and 90 points.
P(x = 90) - P(x = 80)
= 0.88493 - 0.57926
= 0.30567
b.Find the probability that the student earned either less than 80 points or more than 90 points.
For less than80 students
z = 80 - 78/10
= 0.2
P-value from Z-Table:
P(x < 80) = 0.57926
For 90 students
z = 90 - 78/10
= 1.2
P-value from Z-Table:
P(x<90) = 0.88493
P(x>90) = 1 - P(x<90) = 0.11507
The probability that the student earned either less than 80 points or more than 90 points.
= 0.57926 + 0.11507
= 0.69433
the graph shows favorite sports among third graders in a school how many third graders pick basketball or baseball than football as their favorite sport
Answer:
do you have the graph?
Step-by-step explanation:
A company produces very unusual CD's for which the variable cost is $ 20 per CD and the fixed
costs are $ 30000. They will sell the CD's for $ 49 each. Let x be the number of CD's
produced.
Write the total cost C as a function of the number of CD's produced.
C= $
Write the total revenue R as a function of the number of CD's produced.
R= $
Write the total profit P as a function of the number of CD's produced.
P= $
Find the number of CD's which must be produced to break even.
The number of CD's which must be produced to break even is no
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Variable cost = $20
Fixed cost = $30000
selling price = $49
Number of CD's produced = x
Cost (C) as a function of number of CD's produced :
Fixed cost + (variable cost * Number produced)
C = $30000 + ($20 * x)
C = $30000 + 20x
Revenue :
Selling price per CD * number of CDs produced
$49 * x
R = 49x
PROFIT:
REVENUE - COST
$30000 + 20x - 49x
30000 - 29x
Number of CD's which must be produced to break even:
Break even quantity = Fixed costs / (Sales price per unit – Variable cost per unit)
Break even quantity = 30000 / (49 - 20)
= 30000 / 29
= 1034.48
= 1034
The recipe calls for 4 cups of broccoli, but Roselyn has only a 2/3 cup measure. How many measuring cups of broccoli should she add?
Answer:
She should add 6 cups.
Answer 6
Step-by-step explanation: 4 divided by 2/3
explain why the answers are different.
The first question shows how the value of x is bigger than the value of -3 while the second question shows how the value of x is smaller than the value of -3.
Hope this helps!
Charlotte and Barry are each assigned a paper for a class they share. Charlotte decides to write 12 pages at a time while Barry decides to write 2 pages at a time. If they end up writing the same number of pages, what is the smallest number of pages that the papers could have had?
Answer:
12 ( or 24, depending on what the question is asking)
Step-by-step explanation:
The lowest common multiple of 12 and 2 is 12.
If Charlotte doesn't write anymore pages after writing the original twelve, and Barry writes 2 pages six times, they both write the same number of pages. So, the smallest number of pages is 12
However, if the question is asking for the smallest total number of pages, then the answer is 24 since they both write 12 pages each.
please help
simplify this
2³+4×8
Answer:
40
Step-by-step explanation:
2³ + 4×8
8 + 32 = 40
PEMDAS:
Handle the exponents, multiply, then add.
The weights of cockroaches follow a Normal distribution with mean 80 grams and standard deviation 2 grams. Use normal table to answer the question below:
What percent of cockroaches weigh greater than 85 grams?
Answer:
0.621%
Step-by-step explanation:
First of all let's find the z-score which is given by the formula;
z = (x' - μ)/σ
We are given;
Mean; μ = 80 g
Standard deviation; σ = 2 g
Test score; x' = 85 g
Thus;
z = (85 - 80)/2
z = 5/2
z = 2.5
From the z-distribution table attached, at z = 2.5, the probability is:
P(z > 2.5) = 1 - 0.99379 = 0.00621 or 0.621%
A tank contains 1000 L of brine (salt water) with 15 kg of dissolved salt. Pure water enters the tank at a rate of 10 L/min. The solution is kept throughly mixed and drains from the tank at the same rate. How much salt is in the tank after t minutes
Answer:
[tex]y=15e^{e^{- \frac{t}{100}}}kg[/tex]
Step-by-step explanation:
Let y(t) represent the amount of salt in the tank after t minutes. Therefore:
[tex]\frac{dy}{dt}=rate\ in-rate\ out[/tex]
Pure water is entering at a rate of 10 L/min, therefore rate in = 0
The tank contains 1000 L of brine (salt water) with 15 kg of dissolved salt, and a mixed solution leaving at 10 L/min hence;
[tex]rate\ out = \frac{y(t)\ kg}{1000\ L}*10\ L/min= \frac{y(t)\ kg}{100\ min}\\\\Therefore:\\\\\frac{dy}{dt}=0- \frac{y(t)}{100} \\\\\frac{dy}{dt}=- \frac{y(t)}{100}\\\\\frac{dy}{y}=- \frac{1}{100}dt\\\\\int\limits{\frac{dy}{y}} =\int\limits- \frac{1}{100}dt\\\\lny=- \frac{t}{100}+C\\\\Taking\ exponetial\ of\ both\ sides:\\\\y=e^{- \frac{t}{100}+C}\\\\y=e^C.e^{- \frac{t}{100}}\\\\y=Ae^{- \frac{t}{100}}(A=e^C)\\\\at\ y=15kg, t=0\\\\15=Ae^{e^{- \frac{0}{100}}}\\\\A=15\\\\[/tex]
[tex]y=15e^{e^{- \frac{t}{100}}}kg[/tex]