The time it takes to wash has the probability density function,
[tex]P(X=x) = \begin{cases}\frac1{17-8}=\frac19&\text{for }8\le x\le 17\\0&\text{otherewise}\end{cases}[/tex]
The probability that it takes between 14 and 16 minutes to wash the dishes is given by the integral,
[tex]\displaystyle\int_{14}^{16}P(X=x)\,\mathrm dx = \frac19\int_{14}^{16}\mathrm dx = \frac{16-14}9 = \frac29 \approx \boxed{0.22}[/tex]
If you're not familiar with calculus, the probability is equal to the area under the graph of P(X = x), which is a rectangle with height 1/9 and length 16 - 14 = 2, so the area and hence probability is 2/9 ≈ 0.22.
Javier jogs 3/4 of a mile in 8/1/2 minutes.
If he keeps the same pace, how many minutes will it take him to jog 1 mile?
Answer:
11 1/3 minutes per mile.
Step-by-step explanation:
3/4 miles jogged in 8 1/2 minutes.
So 1 mile jogged in: 8 1/2 divided by 3/4 = 8 1/2 x 4/3 = (17 x 4) / (2 x 3) = 11 1/3 minutes per mile
Answer:
x = 11 1/3 minutes
Step-by-step explanation:
We can write a ratio to solve
3/4 mile 1 mile
----------------- = --------------
8 1/2 minutes x minutes
Using cross products
3/4 *x = 8 1/2
Multiply each side by 4/3
4/3 * 3/4x = 8 1/2 * 4/3
x = 17/2 * 4/3
x = 34/3
x = 11 1/3
The figure below consists of a rectangle and a
semicircle. Find the perimeter of the figure. Use π =
3.14.
Step 1: Find the perimeter of the rectangle
The rectangle has two lengths and one width that we need to add together. The width of the rectangle is equal to 2 times the radius (or the diameter) of the circle, which is 16.
25 + 25 + 16 = 66
Step 2: Find the perimeter of the semicircle
The perimeter of a semicircle is equal to half of the circumference.
C = pi x diameter
1/2 (3.14) x (16) = 25.12
Step 3: Find the perimeter of the figure
All that's left to do is add the two perimeters together.
66 + 25.12 = 91.12 m
Hope this helps!
Find the area of the shaded regions.
QUICKLY PLEASE
Answer:
the answer is 270° on this
Answer:
84.78
Step-by-step explanation:
Area of a circle is pi(radius)^2
In this case it would be (pi(radius)^2)270/360 since it's 3/4 of a circle.
So we replace the values and solve:
3.14(36)(270/360)= 84.78 square centimeters.
A sales firm receives an average of three calls per hour on its toll-free number. For any given hour, find the probability that it will receive at least three calls. Use the Poisson distribution.
Answer:
At most 3 calls: 64.7%
At least 3 calls: 57.7%
5 or more calls: 18.5%
Step-by-step explanation:
A roller coaster descended 32.3 ft in one minute. How would you show this using an integer?
A. -32.3
B. +32.3
C. 32.3-
D. 32.3+\
Answer:
Step-by-step explanation:
a
find all the missing measurement
Answer:
find all the missing measurementWhich of these statements is true for f(x) = 2 · 3x?
Answer:
the statement number D okay!
The y-intercept of the function will be at (0, 2). Then the correct option is A.
What is an exponent?Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as
y = a(b)ˣ
The function is given below.
y = 2·(3)ˣ
The value of y at x = 0, we have
y = 2·3⁰
y = 2·1
y = 2
The y-intercept of the function will be at (0, 2).
Then the correct option is A.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ5
Sixty out of every 100 pieces of candy is red. Which Indicates the
proportion of red candies? **
60
60/100
60/40
40/100
Answer:
The proportion of red candies is 60/100.
Step-by-step explanation:
Given that sixty out of every 100 pieces of candy is red, to determine which indicates the proportion of red candies, the following calculation must be performed:
60 red candies out of 100 total candies
60/100
Therefore, the ratio of red candies is 60/100.
What is the probability that the sample mean would differ from the true mean by greater than 1.9 dollars if a sample of 92 5-gallon pails is randomly selected
Answer:
The correct solution is "0.0226".
Step-by-step explanation:
The given question seems to be incomplete. Please find below the attachment of the complete query.
According to the question,
Mean
= 29
Standard deviation (s),
= 8
For sample size pf 92,
The standard error will be:
[tex]SE=\frac{s}{\sqrt{N} }[/tex]
[tex]=\frac{8}{\sqrt{92} }[/tex]
[tex]=0.834[/tex]
now,
⇒ [tex]1-P(\frac{-1.9}{0.834} < z < \frac{1.9}{0.834} )[/tex] = [tex]1-P(-2.28<z<2.28)[/tex]
or,
= [tex]1-(2\times P(z<2.28)-1)[/tex]
= [tex]2-2\times P(z<2.28)[/tex]
With the help of table, the normal distribution will be:
= [tex]2-2\times 0.9887[/tex]
= [tex]0.0226[/tex]
The side length of an equilateral triangle is x + 3. Write an expression for the perimeter of the triangle. *
Answer:
Perimeter = (x+3) * 3 = 3x+9
Step-by-step explanation:
(x+3) would be multiplied by 3 in order to account for each of the three sides of the equilateral triangle-
The expression for the perimeter of the triangle is 3x+9.To find the expression for the perimeter of the triangle.
What is the perimeter?Perimeter is the distance around the edge of a shape. The continuous line forms the boundary of a closed geometrical figure.In an equilateral triangle, all 3 sides are the same length, so the equation would look something like this:
P=the perimeter of the triangle
(x+3)=length of each side
P=3(x+3)
To simplify further, distribute the 3 to both the x and the 3 inside of the parentheses, getting
P=3x+9.
So, the expression for the perimeter of the triangle is 3x+9.
Learn more about perimeter here:
https://brainly.com/question/6465134
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Given the function, calculate the following values:
Answer:
Step-by-step explanation:
Find the measure of the missing angles.
WILL GIVE BRAINLIEST
Answer:
h= 60
g= 120
m= 147
k= 33
Step-by-step explanation:
We know that all three lines are straight an continuous, so, at any given point the angles should add up to 180 degrees.
This immediately helps with angle h:
120 + h = 180
h = 60
As well as m:
33 + m = 180
m = 147
There are two ways to solve the next part:
First and most familiar way:
h + g = 180
60 + g = 180
g = 120
and:
m + k = 180
147 + k = 180
k = 33
The other way that I prefer is that the angles opposite of each other when two lines intersect are equal. I don't know if that makes sense, it's hard to explain in this format.
A 42 gallon hot water tank hose 350 pounds of water what weight of water at 53 gallon tank hold
Answer:
441.66667 pounds
Step-by-step explanation:
divide 350/42 then multiply the quotient by 53
pleas help
given parallelogram ABCD find m<ADB
Answer:
∠ ADB = 19°
Step-by-step explanation:
Consecutive angles in a parallelogram are supplementary, sum to 180° , so
∠ CDA = 180° - ∠ DAB = 180° - 138° = 42°
Then
∠ ADB + ∠ CDB = 42° , that is
∠ ADB + 23° = 42° ( subtract 23° from both sides )
∠ ADB = 19°
Camilla and Aisha are sisters and go to same school.Camilla bikes to school and Aisha walks. Camilla’s speed is 6.5 mph and Aisha’s is 2 mph. When Camilla reached school, Aisha was 1.5 miles behind. How far away from their house is the school?
Answer:
2 1/6
Step-by-step explanation:
6.5x=2x+1.6=1/3
1/3*6.5=2 1/6
MFP15017010 2021 Question 2 2.1 Calculate the following 2- and 3-digit numbers using strategic doubling: 34 2.1.2 340 2.13 277 214 00 (10) 2.15 500
Answer:
plz check ur school solution down.
Step-by-step explanation:
in order to apply the law of cosines to find the length of the side of a triangle, is it enough to know which of the following?
A. The area of a triangle
B. The lengths of two of the triangle's sides and the measure of the angle between them
C. At least two of the angles of the triangle and the length of one of its sides
9514 1404 393
Answer:
B. The lengths of two of the triangle's sides and the measure of the angle between them
Step-by-step explanation:
The usual formulation of the law of cosines is something like this:
c² = a² +b² -2ab·cos(C)
where 'c' is the side opposite angle C, and 'a' and 'b' are the other two sides. That is, to use this formula directly, one needs two side lengths and the measure of the included angle.
_____
Additional comment
One can use the law of cosines to solve a triangle when any two sides and one angle are known. The use of the formula will give a quadratic in the unknown side length, if it is not the side opposite the known angle. As with the law of sines, if the angle is opposite the shorter of the two given sides, there may be two solutions for the length of the third side.
Answer:
The answer is B.)
Step-by-step explanation:
Please help!
Solve for x
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
The product of lengths to the two circle intercepts are the same for each secant.
7(7+9) = (8x)(8x+6x)
112 = 112x² . . . simplify
1 = x² . . . . . . divide by 112
x = 1 . . . . . . . take the square root (segment lengths are positive)
I need help answering this question
Answer:
I'm pretty sure it's D, sorry if I'm wrong
Step-by-step explanation:
Answer:
I think D
Step-by-step explanation:
Because an experiment is defined as a scientific procedure undertaken to make a discovery, test a hypothesis, or demonstrate a known fact. This example is testing to see if the mouthwash is effective.
PLEASE HELP ME IM HAVING TROUBLE WITH IT
Answer:
True
False
Step-by-step explanation:
BC are on the same line so, the new [tex]B^{1}[/tex][tex]C^{1}[/tex] will also be on the same. Just a different line than the original. The both move the same distance when dilated.
CD and the new [tex]C^{1}[/tex][tex]D^{1}[/tex] cannot be the same length. The dilation will increase their length by 1[tex]\frac{2}{3}[/tex]
please help, it’s urgent !
Answer:
f(-10) = 2 times -10 + 1
= -19
f(2) = 2^2
= 4
f(-5) = 2 times -5 + 1
= -9
f(-1) = (-1)^2
= 1
f(8) = 3-8
= -5
Step-by-step explanation:
2 2/3 +2 2/3 + 2 2/3 +2 2/3
Answer:
10.6666666667 is your answer
just round this to the nearest tenth
9514 1404 393
Answer:
10 2/3
Step-by-step explanation:
Multiplication works nicely on problems involving repeated addition:
2 2/3 +2 2/3 + 2 2/3 +2 2/3 = 4 × (2 2/3) = 4×2 +4×2/3 = 8 +8/3
= 8 + 2 2/3 = 10 2/3
A baseball team plays in a stadium that holds 60000 spectators. With the ticket price at $11 the average
attendance has been 26000. When the price dropped to $8, the average attendance rose to 30000. Find a
demand function D(q), where q is the quantity/number of the spectators. (Assume D(q) is linear)
D(q)
(For best results, keep answers in fraction form, not decimals)
Answer:
D(q) = -(3)/(4,000)q+19.5
Step-by-step explanation:
Given:
overall capacity = 60000
price in point one = 11
spectators in first point = 26000
second point - price = 8
spectators = 30000
solution:
The demand of a product as a function of its price and other factors such as the prices of the substitutes and complementary goods, income is the expression known as demand function. It is represented by D(q)
we have two points in our line for given ques:
first point of line = (26,000, 11)
second point of line = (30,000, 8)
Slope = (11 - 8)/(26,000 - 30,000)
= (3)/(-4,000)
y = mx + b
here, b = factors influencing demand besides price
m = slope
x = price
10 = (3)/(-4,000) )(26,000) + b
b = 19.5
y = -(3)/(4,000)+19.5
D(q) = -(3)/(4,000)q+19.5
Which expressions are equivalent to -7+3(-4e-3)
Choose all answers that apply:
A. -4(3e+4)
B. 12e
C. None of the above
Answer: A
-4(3e+4)=
-12e-16
Step-by-step explanation:
-7+3(-4e-3)=
-7-12e-9=
-12e-16
y=5/3x + 3 in ordered pairs
Answer:
(3,8) ; (-3,-2) ; (6,13)
Step-by-step explanation:
A linear equation in Slope Intercept Form is given to us and we need to write the ordered pairs for x and y . The given equation is ,
[tex]\rm\implies y =\dfrac{5}{3}x + 3 [/tex]
For finding the ordered pairs , substitute different values of x to get different values of y.
Put x = 3 :-
[tex]\rm\implies y =\dfrac{5}{3}\times 3 + 3 [/tex]
[tex]\rm\implies y = 5+ 3 [/tex]
[tex]\rm\implies y =8[/tex]
Put x = -3 :-
[tex]\rm\implies y =\dfrac{5}{3}\times -3 + 3 [/tex]
[tex]\rm\implies y = -5+ 3 [/tex]
[tex]\rm\implies y =-2[/tex]
Put x =6 :-
[tex]\rm\implies y =\dfrac{5}{3}\times 6 + 3 [/tex]
[tex]\rm\implies y = 10+ 3 [/tex]
[tex]\rm\implies y =13[/tex]
Therefore ,
[tex]\small\implies\boxed{\rm\blue{ Odered \ Pairs \ = (3,8) ; (-3,-2) ; (6,13) }}[/tex]
Figure out the pattern, and write the next number.
2,6,21,88
In a sample of 56 bags of fertilizer, the average weight was found to be 17.2lb with a standard deviation of 0.7. Give a point estimate for the population standard deviation of the weight of the bags of fertilizer.
Answer:
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Part C of Jim and his dad are building a rectangular flower bed.
If Jim and his dad decide to decrease the width of the flower bed from 15 feet, what happens to its length?
1. One half of a number added to a second
number equals 4. One half of the first
number decreased by the second number
equals zero. Find the two numbers.
Answer:
(4, 2)
Step-by-step explanation:
½x + y = 4
y = 4 - ½x
½x - y = 0
½x - (4 - ½x) = 0
½x - 4 + ½x = 0
x = 4
y = 4 - ½(4)
y = 2
Surface roughness of pipe. Refer to the Anti-corrosion Methods and Materials (Vol. 50, 2003) study of the sur- face roughness of coated interior pipe used in oil fields, Exercise 7.26 (p. 311). The data (in micrometers) for 20 sampled pipe sections are reproduced in the table on p. 391.
a. Give the null and alternative hypotheses for testing whether the mean surface roughness of coated interior pipe, H, differs from 2 micrometers.
b. The results of the test, part a, are shown in the MINITAB printout at the bottom of the page. Locate the test statistic and p-value on the printout.
The minitab report isn't given.
Answer:
H0 : μ = 2 um
H1 : μ ≠ 2 um
Step-by-step explanation:
The mean surface roughness of coated interior pipe is given as 2um.
This refers to the population mean, μ = 2 um
Therefore, the null hypothesis which usually aligns with the population mean value will be stated as :
H0 : μ = 2 um
The alternative hypothesis is used to test the claim that the mean surface roughness is different from 2 ; hence no direction is given, this is thus a 2 - tailed test
H1 : μ ≠ 2 um
