Answers
Answer: See explanation (btw, the answer is always in bold letters)
Step-by-step explanation:
1.) 1 gallon for $1.99
1/2 gallon for $0.98
1 gallon would be 0.98 × 2 = 1.96
2 gallons for $3.98
1 gallon would be 3.98 ÷ 2 = 1.99
2.) 621 ÷ 4 = 155.25
He pays $155.25 each payment!
3.) V = s³
s = 3
V = 3³
3 × 3 × 3 = 27
V = 27 m³
4.) This is a rectangle; the area of a rectangle is l × b.
L = 6.9
l × b = a
6.9b = 28.29
Divide both sides by 6.9
b = 4.1
The missing length is 4.1 m
5.) False
Related Questions
2. The actual tree on the left is 10 feet tall. The model tree on the right is 8 inches tall. What is the scale factor?
A: 15 B: 112 C: 1/122 D: 1/15
Answers
Answer:
D. 1/15
Step-by-step explanation:
Actual tree = 10 ft = 12 × 10 = 120 in.
Model tree = 8 in.
Scale factor = model tree/actual tree
Scale factor = 8/120
Scale factor = 1/15
Find the surface area of the following prism:
6 m
6 m
10 m
7.2 m
4.8 m
Answers
Answer:
172.8m³
Step-by-step explanation:
1/2(7.2)(4.8)(10)=172.8m³
hello please help 50 points and brainliest!!!
Answers
Answer:
sorry the image is not clear
Consider randomly selecting a student who is among the 12,000 registered for the current semester in a college. Let X be the number of courses the selected student is taking, and suppose that X has the following probability distribution: x 1 2 3 4 5 6 7 f(x) 0.01 0.02 0.12 0.25 0.42 0.16 0.02 a. Find the cdf of X. b. Find the expected number of courses a student is taking this semester. c. Find the variance of X. d. Find the third quartile of this distribution.
Answers
Answer:
a)
[tex]P(X \leq 1) = 0.01[/tex]
[tex]P(X \leq 2) = 0.03[/tex]
[tex]P(X \leq 3) = 0.15[/tex]
[tex]P(X \leq 4) = 0.40[/tex]
[tex]P(X \leq 5) = 0.82[/tex]
[tex]P(X \leq 6) = 0.98[/tex]
[tex]P(X \leq 7) = 1[/tex]
b)
4.61
c) 1.1579
d) 5 is the third quartile of this distribution.
Step-by-step explanation:
We are given the following discrete distribution:
[tex]P(X = 1) = 0.01[/tex]
[tex]P(X = 2) = 0.02[/tex]
[tex]P(X = 3) = 0.12[/tex]
[tex]P(X = 4) = 0.25[/tex]
[tex]P(X = 5) = 0.42[/tex]
[tex]P(X = 6) = 0.16[/tex]
[tex]P(X = 7) = 0.02[/tex]
a. Find the cdf of X.
Probability of X being less of equal to x. Than
[tex]P(X \leq 1) = P(X = 1) = 0.01[/tex]
[tex]P(X \leq 2) = P(X = 1) + P(X = 2) = 0.01 + 0.02 = 0.03[/tex]
[tex]P(X \leq 3) = P(X \leq 2) + P(X = 3) = 0.03 + 0.12 = 0.15[/tex]
[tex]P(X \leq 4) = P(X \leq 3) + P(X = 4) = 0.15 + 0.25 = 0.40[/tex]
[tex]P(X \leq 5) = P(X \leq 4) + P(X = 5) = 0.4 + 0.42 = 0.82[/tex]
[tex]P(X \leq 6) = P(X \leq 5) + P(X = 6) = 0.82 + 0.16 = 0.98[/tex]
[tex]P(X \leq 7) = P(X \leq 6) + P(X = 7) = 0.98 + 0.02 = 1[/tex]
b. Find the expected number of courses a student is taking this semester.
Multiplication of every outcome by its probability.
[tex]E = 0.01*1 + 0.02*2 + 0.12*3 + 0.25*4 + 0.42*5 + 0.16*6 + 0.02*7 = 4.61[/tex]
c. Find the variance of X.
Multiplication of the squared subtraction of each value and the mean, multiplied by its probability. So
[tex]V = 0.01*(1-4.61)^2 + 0.02*(2-4.61)^2 + 0.12*(3-4.61)^2 + 0.25*(4-4.61)^2 + 0.42*(5-4.61)^2 + 0.16*(6-4.61)^2 + 0.02*(7-4.61)^2 = 1.1579[/tex]
d. Find the third quartile of this distribution.
100*(3/4) = 75th percentile
The cdf passes 0.75 when X = 5, so 5 is the third quartile of this distribution.
5th grade math. correct answer will be marked brainliest.
Answers
Answer:
8 17/24
what is 3/8 + 1/4 please help me
Answers
Answer:
Step-by-step explanation:
3/8+1/4
LCM
3/8+2/8
5/8
Solve the system by substitution.
2x + 3y = 32
y = x + 9
Answers
Answer:
x=1 and y=10 (1,10)
Step-by-step explanation:
2+30=32
10=1+9
The population of a city increases by 3% per year. If this year's population is 298,0 what will next year's population be, to the nearest individual?
Answers
Answer:
5 Probability
5.1 Probabilities
Probabilities are used to describe how likely or unlikely it is that something will happen.
Weather forecasters often talk about how likely it is to rain, or perhaps snow, in particular
parts of the country.
Worked Example 1
(a) When you roll a dice, which number are you most likely to get?
(b) If you rolled a dice 600 times how my sixes would you expect to get?
(c) Would you expect to get the same number of ones?
Solution
(a) You are equally likely to get any of the six numbers.
(b) You would expect to get a six in about 1
6
of the throws, so 100 sixes.
(c) Yes, in fact you would expect to get about 100 of each number.
Worked Example 2
Use one of the following to describe each one of the statements (a) to (d).
Certain
Very likely
Likely
Unlikely
Very unlikely
Impossible
(a) It will snow tomorrow.
(b) It will rain tomorrow.
(c) You win a car in a competition tomorrow.
(d) You are late for school tomorrow.
Solution
(a) Very unlikely for most places in Britain, especially in summer.
(b) Likely or Very likely in Britain in winter.
(c) Very unlikely if you have entered the competition. Impossible if you have not
entered the competition.
(d) Very unlikely, unless the school bus breaks down.
Cell G: 4.21×10^-3 cm
Cell H: 9.2×10-4 cm
How many times larger is the diameter of cell G than the diameter cell H? Write your answer in standard notation, rounding to the nearest tenth.
Answers
Answer:
0.00421 centimeters.
Step-by-step explanation:
thats ur answer
Answer:
I believe that your answer would be 2.18527315×10^-1
Simplified would be 2.2×10^-1
Step-by-step explanation:
I hope this helps
Find the area.
A. 1100 m2
B. 533 m2
C. 1066 m2
D. 338 m2
Answers
Answer:
533m
Step-by-step explanation:
41x26 divide by 2
A triangle is a three-edged polygon with three vertices. The area of the ΔDNE is 533 meters². The correct option is B.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The area of the triangle is half the product of its base and its height.
Area of triangle = (1/2) × base × height
Given the base of the triangle is 41 meters, while the height of the triangle is 26 meters.
Now, the area of the triangle DNE is,
Area of triangle = (1/2) × base × height
Area of ΔDNE = (1/2) × 41 meters × 26 meters
= 533 meters²
Hence, the area of the ΔDNE is 533 meters².
Learn more about Triangle here:
https://brainly.com/question/2773823
#SPJ2
cual es la diferencia entre divisor y divisible
Answers
espero que esto ayude
ABC Bank requires a 20% down payment on all of its home loans. If a house
is priced at $145,000, what is the amount of the down payment required by
the bank?
O A. $290,000
O B. $18,000
O C. $29,000
O D. 814,500
Answers
A rock is thrown upward from the top of a high cliff overlooking the ocean at a speed of 96 feet per second . The rock's height above ocean can be modeled by the equation H(t) = - 16t ^ 2 + 96t + 112 . How long will it take seconds for the rock to hit the ocean? Do not include units in your answer.
Answers
Answer:
7
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
In this question:
The height of the rock after t seconds is given by the following equation:
[tex]H(t) = -16t^2 + 96t + 112[/tex]
How long will it take in seconds for the rock to hit the ocean?
This is t for which:
[tex]H(t) = 0[/tex]
So
[tex]-16t^2 + 96t + 112 = 0[/tex]
Simplifying by -16
[tex]t^2 - 6t - 7 = 0[/tex]
So a quadratic equation with [tex]a = 1, b = -6, c = -7[/tex]
[tex]\Delta = b^{2} - 4ac = (-6)^2 - 4*1*(-7) = 36 + 28 = 64[/tex]
[tex]t_{1} = \frac{-(-6) + \sqrt{64}}{2*1} = 7[/tex]
[tex]t_{2} = \frac{-(-6) - \sqrt{64}}{2*1} = -1[/tex]
Since time is a positive measure, it will take 6 seconds for the rock to hit the ocean, and the answer is 7.
What is the slope and y-intercept of the line whose equation is y + 4x =
8?
Answers
Answer:
The slope is -4 and the y-intercept is 8.
Step-by-step explanation:
y+4x=8
y=8-4x
y=-4x+8
y=mx+b where m=slope and b=y-intercept.
Hello!
The equation of this line is written in slope-intercept form (y=mx+b)
Where
m is the slope
b is the y-intercept
m is 4
b is 8
Hope it helps!
If you have any questions, feel free to ask! :)
~An excited gal
[tex]MagicalNature[/tex] here to help
The value of the 6 in the number 60,324 is how many times greater than the value of the 6 in the number 4,621
Answers
100 hundred times larger
if y = 3 then evaluate 45 - y
Answers
Answer:
42
Step-by-step explanation:
If y equals 3, then substitute y for 3, getting 45 - 3.
45 - 3 is 42, so that's your answer.
Hope this helped!
Can someone help meeeee ??
Answers
Answer:
Bottom left graph, ∠a + ∠b = 180°, ∠a + ∠b = 90°, ∠a + ∠b = 90°
Step-by-step explanation:
For the first problem, we can look at the slope. The slope of the equation is negative. The line has to be similar to the bottom slant of the letter "K".
There are two lines that are similar and have the same y-intercept, so it's just a matter of which slope matches.
The slope is -1, so that means to find a different point we go down 1 and right 1.
The only point that's the same on the two lines are (0, 3).
When go down 1 and right 1, the point should be: (1,2)
The only line that satisfy this is the bottom left graph.
For problem 2, ∠a and ∠b must add up to 180°.
So the equation for problem 2 is: ∠a + ∠b = 180°
For problem 3, ∠a and ∠b are equal because they're opposite angles.
So the equation for problem 3 is: ∠a = ∠b
For problem 4, ∠a and ∠b must add up to 90°.
So the equation for problem 4 is: ∠a + ∠b = 90°
For problem 5, ∠a and ∠b must add up to 90°, since the other angle is 90°, which is half to 180°.
So the equation for problem 5 is: ∠a + ∠b = 90°
What is the volume of the following rectangular prism?
Answers
Answer:
The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in. The answer is 33 i believe
Step-by-step explanation:
Please help me I wanna go to sleep :(
Answers
Answer:
a. -2
b. 48, -96, 192
Step-by-step explanation:
a rectangular solid has 6 cm by 6 cm by 6 cm is painted on all six faces then the solid is cut into cubes that measures 2 cm on each side how many cubes have only one face painted
Answers
Please help me I’ll give you points
Answers
4. tan Θ if sin = 1/2 90° ≤ Θ ≤ 180°
a. -√(3)/2
b. -√(3)/3
c. √(3)/2
d. √(3)/3
5. Find the value of
tan Θ if cot Θ = 2 0 ≤ Θ < 90° (write your answer as a fraction)
tan =
Answers
9514 1404 393
Answer:
4. b =-√(3)/3
5. 1/2
Step-by-step explanation:
4. The tangent is negative in the second quadrant. The sine value tells you the reference angle is 30°, so the actual angle is 150°. The corresponding tangent is ...
tan(150°) = -(√3)/3
__
5. The cotangent is the inverse of the tangent, and vice versa.
tan = 1/cot
tan(θ) = 1/2
(m 3 + m 2 - 39m + 21) ÷ (m + 7)
Answers
Answer:
Quotient = m2-6m+81 Remainder = -560
Step-by-step explanation:
in the pic above
What does it mean to say that a data point has a residual of 0?
A. The point lies above the regression line.
B. The point lies directly on the regression line.
C. The predicted value for that point is 0.
D. The point falls at the origin.
Answers
Hi!!!
B. the point lies directly on the regression line.
Hope this helped!
Have a good day:)
The point lies directly on the regression line.
Option B is the correct answer.
What is a regression line?A regression line is a straight line that represents the relationship between two variables in a scatter plot.
In other words, it is a line that best fits the data points in a scatter plot by minimizing the difference between the actual data points and the predicted values on the line.
We have,
When we talk about the residual of a data point in the context of regression analysis, we are referring to the difference between the actual value of the response variable (dependent variable) for that data point and the predicted value of the response variable based on the regression equation.
If a data point has a residual of 0, it means that the predicted value for that data point is exactly equal to the actual value of the response variable.
This can occur when the data point falls directly on the regression line, as in option B.
Thus,
The point lies directly on the regression line.
Learn more about regression lines here:
https://brainly.com/question/7656407
#SPJ7
A man is 6 feet tall. At 1:00, he casts a shadow that is 18 inches long. A nearby tree is 32 feel tall. At the same time of day, how long is the tree's shadow?
Answers
The answer of this would be 8 feet long.
If you take 6 feet and put that into inches, the man would be 72 inches tall. at one oclock he casts a shadow that is 1/4 of his length. so if we take this knowledge to the tree and divide 32 feet by 4, we get 8 feet long
answer: 8 feet
The national weather service reports the daily temperature in degrees
Fahrenheit. The scientific community reports temperature in degrees Celsius.
The formula F = 1.8C + 32 relates Celsius, C, to Fahrenheit F Solve the formula
for C.
Answers
Answer:
[tex]C =\frac{5}{9}(F - 32)[/tex]
Step-by-step explanation:
Given
[tex]F = 1.8C + 32[/tex]
Required
Solve for C
[tex]F = 1.8C + 32[/tex]
Subtract 32 from both sides
[tex]F-32 = 1.8C + 32-32[/tex]
[tex]F-32 = 1.8C[/tex]
Divide both sides by 1.8
[tex]\frac{1}{1.8}(F - 32) = C[/tex]
Express the decimal as fraction
[tex]\frac{1}{18/10}(F - 32) = C[/tex]
[tex]\frac{10}{18}(F - 32) = C[/tex]
Simplify
[tex]\frac{5}{9}(F - 32) = C[/tex]
[tex]C =\frac{5}{9}(F - 32)[/tex]
Can someone help me with this?
Answers
Answer:
No
Step-by-step explanation:
6^2+4^2=52
7^2=49
49 is not equal to 52, so no it is not a right triangle
Answer:
Step-by-step explanation:
yes yes i can i just need you pitcher the one u put dose not work
which of the following ordered pairs is a solution of the equation -2y + 9 = -x? A.(2,5) B.(-3,15) C.(4,-1)
Answers
Answer:
Step-by-step explanation:
-2y + 9 = -x
x - 2y = -9
Plug in each set of points and see if the equation holds true.
A. 2 - 2(5) = ?
B. -3 - 2(15) = ?
C. 4 - 2(-1) = ?
I don't think that any of them work.
x +4 = 12; x = 16
Please help
Answers
Answer:
x=8 x=16
Step-by-step explanation:
Given function:
x+4=12x=16Thinks:
12=4+xx would be equal to 16Rewrite as:
x=8 since 8+4=12x=16=16Thereform, x=8 and x=16.
Martina is currently 18 years older than her cousin Joey. In 5 years she will be 3 times as old as Joey . Use this information to answer the following questions.
If you let x represent Joey's current age, what expression can you use to represent Martina's? PLEASE HELP
current age?
Answers
Answer:
The age of Joey is 4 years and
The age of Martina is 22 years .
Step-by-step explanation:
Given as :
Martina is 18 years older than her Joey
In 5 years, Martina will be three times older than Joey
Let The age of Martina = M years
And The age of Joey = J years
Now, According to questions
M = J + 18 ........1
(M+5) = 3 × (J+5)
Or, M + 5 = 3 J + 15
Or, M - 3 J = 15 - 5
∴ M - 3 J = 10 ..........2
Solving eq 1 and 2
Put the value of M from eq 1 into eq 2
So, (J + 18) - 3 J = 10
Or, J - 3 J = 10 - 18
Or, - 2 J = - 8
∴ J =
i.e J = 4 years
So, The age of Joey = J = 4 years
Now, Put the value of J in eq 1
So, M = J + 18
Or, M = 4 + 18
∴ M = 22 years
So, The age of Martina = M = 22 years
Hence,The age of Joey is 4 years and The age of Martina is 22 years . Answer