Answer:
y=-2x-2
Step-by-step explanation:
Since this line is supposed to be parallel it will have the same slope.
y=-2x+b
no plug in the (0,-2)
-2=b
y=-2x-2
How much food can this container hold 3in 9in
Answer:
27
Step-by-step explanation:
Answer:
18Πin3
Step-by-step explanation:
Hotel 3 provides a 6 hour booking for 120 delegates in one room (including tea and lunch).how much would this cost?
Answer:
$3840
Step-by-step explanation:
The total cost is ...
(6 hr)(cost per hr) +(120 persons)(food cost per person)
= 6($190) +120($15 +7.50)
= $3840
The booking at Hotel 3 would cost $3840.
A recent article in the paper claims that government ethics are at an all-time low. Reporting on a recent sample,
the paper claims that 43% of all constituents believe their representative possesses low ethical standards.
Suppose 20 of a representative's constituents are randomly and independently sampled. Assuming the paper's
claim is correct, find the probability that more than eight but fewer than 12 of the 20 constituents sampled believe
their representative possesses low ethical standards. Round to six decimal places.
A. 0.273335
B. 0.734089
C. 0.417890
D. 0.646919
Answer:
Probability that more than eight but fewer than 12 of the 20 constituents sampled believe their representative possesses low ethical standards is 0.417890.
Step-by-step explanation:
We are given that the paper claims that 43% of all constituents believe their representative possesses low ethical standards.
Suppose 20 of a representative's constituents are randomly and independently sampled.
The above situation can be represented through binomial distribution;
[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.....[/tex]
where, n = number of trials (samples) taken = 20 constituents
r = number of success = more than eight but fewer than 12
p = probability of success which in our question is probability that
all constituents believe their representative possesses low
ethical standards, i.e; p = 43%
Let X = Number of constituents who believe their representative possesses low ethical standards
So, X ~ Binom(n = 20 , p = 0.43)
Now, Probability that more than eight but fewer than 12 of the 20 constituents sampled believe their representative possesses low ethical standards is given by = P(8 < X < 12)
P(8 < X < 12) = P(X = 9) + P(X = 10) + P(X = 11)
= [tex]\binom{20}{9} \times 0.43^{9} \times (1-0.43)^{20-9}+ \binom{20}{10} \times 0.43^{10} \times (1-0.43)^{20-10}+\binom{20}{11} \times 0.43^{11} \times (1-0.43)^{20-11}[/tex]
= [tex]167960 \times 0.43^{9} \times 0.57^{11}+ 184756 \times 0.43^{10} \times 0.57^{10}+167960 \times 0.43^{11} \times 0.57^{9}[/tex]
= 0.417890
Hence, the required probability is 0.417890.
The probability that more than eight but fewer than 12 of the 20 constituents sampled believe their representative possesses low ethical standards is; C. 0.417890
How to calculate binomial probabilities?
We are given;
proportion; p = 43% = 0.43
sample size; n = 20
P(X = x) = ⁿCₓ * pˣ * (1 - p)ⁿ ⁻ ˣ
Thus the probability that more than eight but fewer than 12 of the 20 constituents sampled believe their representative possesses low ethical standards is;
P(8 < X < 12) = P(X = 9) + P(X = 10) + P(X = 11)
From online binomial probability calculator, we have;
P(8 < X < 12) = 0.17419889 + 0.14455452 + 0.09913627
P(8 < X < 12) = 0.417890
Read more about binomial probability at; https://brainly.com/question/15246027
some help?I don't know how to solve it
How many quarters are there in $2? A. 2 B. 4 C. 6 D. 8
Answer:
The answer is D.
Step-by-step explanation:
In $1 there are 4 quarters. Having $2 you would multiply 4 by 2 to get how many quarters there are in $2
Answer:
The answer is D.
Step-by-step explanation:
In $1 there are 4 quarters. Having $2 you would multiply 4 by 2 to get how many quarters there are in $2
Consider the function below. (If an answer does not exist, enter DNE.) f(x) = 1 2 x4 − 4x2 + 5 (a) Find the interval of increase. (Enter your answer using interval notation.) Find the interval of decrease. (Enter your answer using interval notation.) (b) Find the local minimum value(s). (Enter your answers as a comma-separated list.) Find the local maximum value(s). (Enter your answers as a comma-separated list.) (c) Find the inflection points.
Answer:
Please, read the answer below.
Step-by-step explanation:
You have the following function:
[tex]f(x)=12x^4-4x^2+5[/tex]
(a) To find the intervals of increase or decrease of f(x) you first calculate the derivative of f(x):
[tex]\frac{df}{dx}=\frac{d}{dx}[12x^4-4x^2+5]\\\\\frac{df}{dx}=12(4)x^3-4(2)x=48x^3-8x[/tex] (2)
Next, you equal the derivative to zero and obtain the roots of the obtained polynomial:
[tex]48x^3-8x=0\\\\6x^3-x=0\\\\x(6x^2-1)=0[/tex]
Then, you have the following roots for x:
[tex]x_1=0\\\\x_{2,3}=\pm \sqrt{\frac{1}{6}}[/tex] = ±0.40
Hence, there are three special points.
Next, you evaluate the derivative (expression (2)) for the x values close to the x1, x2 and x3. The values of the derivative give to us the value of the slope of a tangent line in that point, and so, if the function increases or decreases:
First interval, for a number lower than -0.40
[tex]48(-0.41)^3-8(-0.41)=-0.02<0[/tex]
The function decreases in the interval:
[tex](-\inft,-\frac{1}{\sqrt{6}})[/tex]
It is necessary that after x=-0.40 the function increases until the next special point, that is x=0. Then, the interval in which the function increases is:
[tex](-\frac{1}{\sqrt{6}},0)[/tex]
By symmetry, from the point x=0 until x=0.40 the function decreases.
[tex](0,\frac{1}{\sqrt{6}})[/tex]
Next, you evaluate the expression (2) for a number higher than 0.40:
[tex]48(0.41)^3-8(0.41)=0.02>0[/tex]
Then, the function increases for the following interval:
[tex](\frac{1}{\sqrt{6}},+\infty)[/tex]
(b) Due to the results obtained in the previous step you can conclude that the local minimum are:
[tex]x_{min}=-\frac{1}{\sqrt{6}}\\\\x_{min}=\frac{1}{\sqrt{6}}[/tex]
[tex]P_1(-\frac{1}{\sqrt{6}},f(-\frac{1}{\sqrt{6}}))=P_1(-\frac{1}{\sqrt{6}},4.66)\\\\P_2(\frac{1}{\sqrt{6}},f(\frac{1}{\sqrt{6}}))=P_2(\frac{1}{\sqrt{6}},4.66)[/tex]
[tex]P_1(-\frac{1}{\sqrt{6}},0)\\\\P_2(\frac{1}{\sqrt{6}},0)[/tex]
(these are the point in which the function change of a decrease to an increase)
The same reason as before. There in one local maximum:
[tex]x_{max}=0[/tex]
[tex]P(0,f(0))=P(0,5)[/tex]
(c) The inflection points are calculated by using the second derivative:
[tex]\frac{d^2f}{dx^2}=144x^2-8=0\\\\x^2=\frac{8}{144}=\frac{1}{18}\\\\x=\pm \frac{1}{\sqrt{18}}[/tex]
Then , there are two inflection points , given by:
[tex]P_1(-\frac{1}{\sqrt{18}},f(-\frac{1}{\sqrt{18}}))=P_1(-\frac{1}{\sqrt{18}},4.82)\\\\P_2(\frac{1}{\sqrt{18}},f(\frac{1}{\sqrt{18}}))=P_2(\frac{1}{\sqrt{18}},4.82)[/tex]
If one gallon of milk costs 3.35, how much would 12 quarts of milk cost
Answer:
10.05 for 12 quarts
Step-by-step explanation:
Length of rectangle is three times bigger than the width. Area of rectangle is 27. A) find width of rectangle B) find length of rectangle C) find perimeter of rectangle.
What is the answer? I need help to solve it.
Answer:
Length: 9
Width: 3
Perimeter: 24
Step-by-step explanation:
First you can set up a few equations. You know that L x W is your area, or 27.
L * W = 27
Then you also know that your length is equal to three times the width.
L = 3W
So you can substitute L into the first equation to solve for W.
3W * W = 27
3W^2 = 27
W^2 = 9
W = 3
Then you can plug 3 into either equation to solve for your length.
L = 3(3)
L = 9
Then your perimeter is just 2L + 2W
2(9) + 2(3) = 24
Answer:
Step-by-step explanation:
Let the dimensions of the rectangle be length = L and width = W. Then P = perimeter = 2L + 2W. A = area of rectangle = L * W. Finally, L = 3W.
Here A = 27 units^2 = W*(3W) = (3*W^2), or 3W^2 = 27 units^2, or
W^2 = 9 units^2, or W = 3 units. Then L = 3W = 3(3 units) = 9 units.
The length of the rectangle is 9 units. See above.
The perimeter of the rectangle is 2(9 units) + 2(3 units) = 24 units.
Use distributive property to write an expression that is equivalent to each expression. -8(-x-3/4y+7/2
Answer:
8x +6y -28
Step-by-step explanation:
The outside factor applies to each inside term, so the equivalent expression is ...
-8(-x -3/4y +7/2) = 8x +6y -28
Applying the distributive property once again, we can also write the equivalent expression ...
= 2(4x +3y -14)
__
There are an infinite number of other equivalent expressions. The problem statement is non-specific as to the acceptable form.
What is the answers?
Answer:
[tex]\frac{(x + 1)}{(x + 3)}[/tex]
Step-by-step explanation:
If you ignore the 7x for the moment, you can see that the numerator can be factored into (x-5)(x+1), and the denominator can factored into (x-5)(x+3).
The (x+5)s can cancel out, so you are left with [tex]\frac{(x+1)}{(x+3)}[/tex] times [tex]\frac{7x}{7x}[/tex]. Since 7x/7x is just equal to 1, our final answer is (x+1)/(x+3).
Hope this helped! :)
Use the diagram to find the indicated angle measures.
m<1= degrees
m<2= degrees
m<3= degrees
Please help !
Answer:
Step-by-step explanation:
its m<2=degrees
Answer:
m∠1 = 131
m∠2 = 49
m∠2 = 112
Step-by-step explanation:
The triangles are congruent by SSS or HL
Answer:
True? What are you asking
Step-by-step explanation:
But yes triangles are congruent by either of those
Answer:
you're not really asking anything, or is this a true/false statement
Step-by-step explanation:
what happens to the value of the expression 5/x + 5 as x decreases froma large positive number to a small positive number
Answer:
The value increases
Step-by-step explanation:
the smaller the divisor, the larger the quotient.
A roulette wheel has 38 slots, of which 18 are black, 18 are red,and 2 are green. When the wheel is spun, the ball is equally likelyto come to rest in any of the slots. One of the simplest wagerschooses red or black. A bet of $1 on red returns $2 if the balllands in a red slot. Otherwise, the player loses his dollar. Whengamblers bet on red or black, the two green slots belong to thehouse. Because the probability of winning $2 is18/38, the meanpayoff from a $1 bet is twice 18/38, or 94.7 cents. Explain what the law of large numberstells us about what will happen if a gambler makes very many betson red.
Answer:
Step-by-step explanation:
The question says,
A roulette wheel has 38 slots, of which 18 are black, 18 are red,and 2 are green. When the wheel is spun, the ball is equally likely to come to rest in any of the slots. One of the simplest wagers chooses red or black. A bet of $1 on red returns $2 if the ball lands in a red slot. Otherwise, the player loses his dollar. When gamblers bet on red or black, the two green slots belong to the house. Because the probability of winning $2 is 18/38, the mean payoff from a $1 bet is twice 18/38, or 94.7 cents. Explain what the law of large numbers tells us about what will happen if a gambler makes very many betson red.
The law of large numbers tells us that as the gambler makes many bets, they will have an average payoff of which is equivalent to 0.947.
Therefore, if the gambler makes n bets of $1, and as the n grows/increase large, they will have only $0.947*n out of the original $n.
That is as n increases the gamblers will get $0.947 in n places
More generally, as the gambler makes a large number of bets on red, they will lose money.
Find the missing length of the right triangle
Whats the Doubled Recipe ?
4 ½ ripe tomatoes
⅝ red onion
⅖ garlic cloves
3 jalapenos
⅓ cupe fresh cilantro
3 tablespoons fresh lime juice
2 ½ teaspoons ground cumin
2 ¾ teaspoons
1 ½ teaspoons salt
15 ounces crushed tomatoes ( 1 can)
4.5 ounces diced green childes (1 can)
Answer:
9 ripe tomatoes
1 1/4 red onion
4/5 garlic cloves
6 jalapeños
2/3 cup fresh cilantro
6 teaspoons ground cumin
5 1/2 teaspoons
3 teaspoons salt
30 ounces crushed tomato (2 cans)
9 ounces dices green chilies (2 cans)
Given f(x)=2x^2-8x+6 and g(x)=3x-1, what is f(x)+g(x) ?
Answer:
2x^2 -5x +5
Step-by-step explanation:
f(x)=2x^2-8x+6 and g(x)=3x-1
f(x)+g(x) = 2x^2-8x+6 +3x-1
Combine like terms
= 2x^2 -5x +5
Answer:
2x^2 -5x +5
Step-by-step explanation:
There were 208 tickets purchased for a major league baseball game. The lower box tickets cost $12.50 and the upper box tickets cost $10.00. The total amount of money spent was $2187.50. How many of each kind of ticket were purchased?
Answer:
so 189(from 189.66) lower box tickets are sold and 18 upper box tickets are sold
Step-by-step explanation:
lets take "x" as the # of lower box tickets
and "y" as the number of upper box tickets
so in total the number of tickets sold was 208
so x+y=208
next, we know that each lower box ticket costs 12.50 and each upper box tickets costs 10 and the total amount of money spent was $2187.50 so:
12.5x+10y=2187.50
lets subtract "x" from both sides in first equation to find value of y
y=208-x
now substitute y in equation number 2:
12.5x-10(208-x)=2187.5
12.5x-2080+10x=2187.5
22.5x-2080=2187.5
22.5x=4267.5
x=189.666
so 189 tickets lower box tickets were purchased now, substitute 190 in equation 1 to find value of "y"
y=208-190
y=18
so 189(from 189.66) lower box tickets are sold and 18 upper box tickets are sold
PLEASE HELP!!!
Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for π and round your answers to the nearest hundredth.
Answer:
Cylinder A has a volume of 35.34 and Cylinder B has a volume of 58.9, the cylinder B has the greater volume.
Step-by-step explanation:
B= (3.14) 2.5 x 3h = 58.9 Cylinder B = 58.9
A= (3.14) 1.5 x 5h = 35.34 Cylinder A = 35.34
Livia eats a chicken drumstick with 11 grams of protein. She also eats x cheese sticks, each with 7 grams of protein. The table shows y , the total number of grams of protein that Livia will consume if she eats x cheese sticks. Livia may eat only part of a cheese stick, so x may not always be a whole number.
Step-by-step explanation:
C
Answer:
The answer is C
Step-by-step explanation:
I took the test and got it right :)
hopefully this helps you :)
pls mark brainlest ;)
what is 60/ 480 ? without calculator
Answer:
1/8
Step-by-step explanation:
You must divide by common multipliers. so you can first divide the numerator and denominator by 10, which would make it 6/48, and then do that again with 6. Which then would give you the answer of 1/8.
whats the product of 6 and
q
Answer:
6q or 6 * q
Step-by-step explanation:
As you do not know what the value of the variable q is, you are essentially changing it from word form to expression form.
"product" in math means multiply, so you are multiplying 6 with q.
6q is your answer.
~
Answer:
6+9=15
6×9=54
Step-by-step explanation:
didnt know which one you wanted but hope this helps
1.(09.05
Pizza delivery times at Pizza Time are normally distributed with a mean time of 27 minutes and a standard deviation of 3 minutes. Approximately what percent of pizzas are delivered between 24 and 30 minutes? (2 points)
32%
689
09
99.75
Answer:
About 68% (is that an answer choice?)
Step-by-step explanation:
In a normal distribution (a bell curve), about 68 percent of the data is in the range between one standard deviation below the mean to one standard deviation above. If your mean is 27, and the standard deviation is 3, then one deviation below to one above would be 27 - 3 to 27 + 3, or 24 - 30.
Alexis bought a pyramid-like paperweight for her teacher. The paperweight has a volume of 200 cm3 and a density of 1.5 grams per cubic centimeter.
What formula you would you use to find the density of the paperweight?
How much does the paperweight weigh?
Answer:
The density is equal to the weight divided by the volume:
[tex]\rho=\dfrac{W}{V}[/tex]
The paperweight weights 300 grams.
Step-by-step explanation:
The density of the paperweight can be calculated knowing the weight and the volume of this paperweight.
The density is equal to the weight divided by the volume:
[tex]\rho=\dfrac{W}{V}[/tex]
We know that the density of this paperweight is 1.5 grams per cm3, and its volume is 200 cm3.
We can use the formula of the density to calculate the weight:
[tex]\rho=\dfrac{W}{V}\\\\\\W=\rho\cdot V=1.5\;\dfrac{g}{cm^3}\,\cdot\;200\; cm^3\\\\\\W=300\;g[/tex]
The paperweight weights 300 grams.
ILL GIVE YOY BRAINLIST *have to get it right * What is the slope of the line shown in the graph?
Answer:
A
Step-by-step explanation:
3 over 2 down.
PLEASE HELP WITH THIS EASY QUESTION!! EXPLANATION NEEDED!!
Answer:
100
Step-by-step explanation:
(b/2)^2
b= -20
(-20/2)^2
(-10)^2
100
What’s the correct answer for this?
Answer:
AB=21 miles
Step-by-step explanation:
Since it's a right angles triangle, we'll use Pythagoras theorem
HYPOTENUSE ²= base² + perpendicular ²
Where hyp=AB, base=16 and perp=13
AB²=16²+13²
AB²=256+169
AB²=425
Taking sq root.
AB=20.6 miles
AB≈21 miles
(X-2)2+(y-3)2=16
X+y-1=0
Answer:
1. x=13
2.x=1
Step-by-step explanation:
In a bowl of marbles, there are 5 red ones, 6 green ones, and 4 blue ones. If two marbles are chosen at random with replacement If two marbles are chosen at random with replacement, find P(red and a blue).
Answer:
4/45.
Step-by-step explanation:
There are a total of 15 marbles in the bowl, so:
P(red) = 5/15 = 1/3
P(blue) = 4/15
Required probability = 1/3 * 4/15
= 4/45
Answer:
P(red, blue) = (5/15)*(4/15) = 4/45
In a random sample of 28 people, the mean commute time to work was 31.7 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 80% confidence interval for the population mean mu. What is the margin of error of mu? Interpret the results.
Answer:
a)The 80% of confidence interval for the Population 'μ' is
(29.9121 ,33.4879)
b) Margin of error of mean ' 'μ' is = 1.7879
Step-by-step explanation:
step(i):-
Given random sample 'n' =28
The mean of the sample x⁻ =31.7 min
The standard deviation of the sample's' =7.2
Step(ii):-
80% of confidence intervals:
The 80% of confidence interval for the Population 'μ' is determined by
[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } )[/tex]
Degrees of freedom
γ = n-1 = 28-1 =27
[tex]t_{\frac{\alpha }{2} } = t_{\frac{0.20}{2} } = t_{0.1} = 1.314[/tex]
The 80% of confidence interval for the Population 'μ' is determined by
[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } )[/tex]
[tex](31.7-1.314 X \frac{7.2}{\sqrt{28} } , 31.7+1.314 X\frac{7.2}{\sqrt{28} } )[/tex]
(31.7 -1.7879 , 31.7 +1.7879)
(29.9121 ,33.4879)
b)
Margin of error of mean is determined by
[tex]M.E = {\frac{t_{\frac{\alpha }{2} } s}{\sqrt{n} } }[/tex]
[tex]M.E = {\frac{1.314 X 7.2}{\sqrt{28} } }[/tex]
Margin of error =1.7879
