Answer: [tex]\dfrac{3}{16},\ \dfrac{1}{2}, \dfrac{7}{2}\ \text{inch}[/tex]
Step-by-step explanation:
Given
Javier created a table for the amount of water evaporated in each week
After two weeks, the amount of water evaporated is
[tex]\Rightarrow \dfrac{2}{16}+\dfrac{1}{16}\\\\\Rightarrow \dfrac{2+1}{16}=\dfrac{3}{16}\ \text{inch}[/tex]
Total amount of water evaporated in four weeks is
[tex]\Rightarrow \dfrac{2}{16}+\dfrac{1}{16}+\dfrac{3}{16}+\dfrac{2}{16}\\\\\Rightarrow \dfrac{2+1+3+2}{16}=\dfrac{8}{16}\\\Rightarrow \dfrac{1}{2}\ \text{inch}[/tex]
If Javier originally puts 4 inches of water, amount of water left in the bucket
[tex]\Rightarrow 4-\dfrac{1}{2}\\\\\Rightarrow \dfrac{4\times 2}{2}-\dfrac{1}{2}\\\\\Rightarrow \dfrac{8-1}{2}=\dfrac{7}{2}\ \text{inch}[/tex]
andrea uses 3.12 cups of flour in a recipe that makes 8 key lime cupcakes. Corey uses 2.52 cups of flour in a recipe that makes 7 key lime cupcakes. How much more flour per cupcake is needed for corey's recipe
Answer:
0.03 more flour per cupcake
Step-by-step explanation:
3.12/8 = 0.39
2.52/7 = 0.36
0.39 - 0.36 = 0.03
Hope this helps c:
Plz help I’ll mark u
Answer:
SAS=side angle side
there is two side and one angle
Answer:
SAS theorem
explanation:
Which answers describe the shape below? Check all that apply.
A. Parallelogram
B. Rectangle
C. Square
D. Rhombus
E. Trapezoid
F. Quadrilateral
Answer:
Parallelogram.
Step-by-step explanation:
Because parallelogram has its opposite sites equal.
(x+2)(x+3)(x+4)(x+5)-48
Help pls ty!
Adios!
Bye
Please help me and answer quick please
Answer:
b
Step-by-step explanation:
the function has exactly one x-intercept
40 points! Need help finding.
The cordent plan of the answer is 2
Answer:
The scale factor will just be 2
Step-by-step explanation:
The length of PQ is twice as larger than the length of AB.
so from 12 to 6 or 6 to 12, we multiply 6 by 2 which equals to 12
I need help with this math
Answer:
[tex]PQ=6\frac{1}{2} =\frac{13}{2}[/tex]
[tex]|Q-P|=\frac{13}{2}[/tex]
[tex]|Q+4|=\frac{13}{2}[/tex]
[tex]Q+4=+-\frac{13}{2}[/tex]
[tex]Q=-4[/tex] ± [tex]\frac{13}{2}[/tex]
[tex]Q=\frac{21}{2} \times2\frac{1}{2}[/tex]
[tex]Answer: C)~2\frac{1}{2}[/tex]
------------------------
Each shirt = $12.25
so, x = shirts = 12.25 x
cost including shipping= 77.49
So,
12.25 x + 3.99=77.49
Answer: D)
-------------------------
hope it helps...
have a great day!!
The following measurements (in picocuries per liter) were recorded by a set of argon gas detectors installed in a research facility:
381.3,394.8,396.1,380
Using these measurements, construct a 95% confidence interval for the mean level of argon gas present in the facility. Assume the population is approximately normal.
Answer:
The 95% confidence interval for the mean level of argon gas present in the facility is (374.4, 401.7).
Step-by-step explanation:
Before building the confidence interval, we have to find the sample mean and the sample standard deviation.
Sample mean:
[tex]\overline{x} = \frac{381.3+394.8+396.1+380}{4} = 388.05[/tex]
Sample standard deviation:
[tex]s = \sqrt{\frac{(381.3-388.05)^2+(394.8-388.05)^2+(396.1-388.05)^2+(380-388.05)^2}{3}} = 8.58[/tex]
Confidence interval:
We have the standard deviation for the sample, so the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 4 - 1 = 3
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 3.1824
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.1824\frac{8.58}{\sqrt{4}} = 13.65[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 388.05 - 13.65 = 374.4
The upper end of the interval is the sample mean added to M. So it is 388.05 + 13.65 = 401.7
The 95% confidence interval for the mean level of argon gas present in the facility is (374.4, 401.7).
g ) If it is raining, a home security system detects an intruder with probability 0.70. If it is NOT raining, the probability becomes 0.92. The probability of rain on any 2 given day is 0.25. To test the system on a randomly chosen day, the system technician pretends to be an intruder. Given that the technician will NOT be detected, what is the probability that it is NOT raining
Answer:
0.4444 = 44.44% probability that it is NOT raining
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Technician not detected.
Event B: Not raining.
Probability the technician is not detected:
0.3 of 0.25(raining).
0.08 of 0.75(not raining). So
[tex]P(A) = 0.3*0.25 + 0.08*0.75 = 0.135[/tex]
Probability the technician is not detected and it is not raining:
0.08 of 0.75. So
[tex]P(A \cap B) = 0.08*0.75 = 0.06[/tex]
Given that the technician will NOT be detected, what is the probability that it is NOT raining?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.135} = 0.4444[/tex]
0.4444 = 44.44% probability that it is NOT raining
Prove this plzzz help me
Answer:
Answer is in the picture. have a look
Allie rode her bike up a hill at an average speed of 12 feet/second. She then rode back down the hill at an average speed of 60 feet/second. The entire trip took her 2 minutes. What is the total distance she traveled. [Hint: use t = time traveling down the hill]
Answer:
The total distance Allie traveled was 0.81 miles.
Step-by-step explanation:
Since Allie rode her bike up a hill at an average speed of 12 feet / second, and she then rode back down the hill at an average speed of 60 feet / second, and the entire trip took her 2 minutes, to determine what is the total distance she traveled, the following calculation must be performed:
12 + 60 = 72
72 x 60 = 4320
1000 feet = 0.189394 miles
4320 feet = 0.8181818 miles
Therefore, the total distance Allie traveled was 0.81 miles.
What is the midpoint of the segment shown below?
Answer:
A
Step-by-step explanation:
Midpoints are found by averaging the coordinates.
Averaging " add all the numbers and divide by the number of numbers.
Here, there are only 2 numbers. So, you divide by 2.
(1,2) (1,-5)
[tex]\frac{1 +1}{2}[/tex] , [tex]\frac{2 + (-5)}{2}[/tex]
[tex]\frac{2}{2}[/tex] , [tex]\frac{-3}{2}[/tex]
(1, [tex]\frac{-3}{2}[/tex] )
a number decreased by 22% is 117. What is the number?
Answer:
Old number = 150
Step-by-step explanation:
Given information;
Percentage decreased = 22%
New number obtain = 117
Find:
Old number
Computation:
Old number = New number obtain[100 / (100 - 22)]
Old number = 117[100 / (100 - 22)]
Old number = 117[100 / (78)]
Old number = 11,700 / 78
Old number = 150
a/b=2/5 and b/c=3/8 find a/c
Answer:
[tex]\frac{a}{c}[/tex] = [tex]\frac{3}{20}[/tex]
Step-by-step explanation:
[tex]\frac{a}{c}[/tex] = [tex]\frac{a}{b}[/tex] × [tex]\frac{b}{c}[/tex] = [tex]\frac{2}{5}[/tex] × [tex]\frac{3}{8}[/tex] = [tex]\frac{6}{40}[/tex] = [tex]\frac{3}{20}[/tex]
If X is a normal random variable with mean 6 and standard deviation 2.0, then find the value x such that P(X > x) is equal to .7054. Group of answer choices5.28
5.46
4.92
7.28
Answer:
Step-by-step explanation:
If X is a normal random variable with a mean of 6 and a standard deviation of 3.0, then find the value x such that P(Z>x)is equal to .7054.
-----
Find the z-value with a right tail of 0.7054
z = invNorm(1-0.7054) = -0.5400
x = zs+u
x = -5400*3+6 = 4.38
23 greater than b is at least -276
Answer:
23 + b ≤ -276
Step-by-step explanation:
In this exercise, you're required to write an algebraic expression for the word problem. Thus, you'll write out a mathematical equation using the given values and unknown variable.
Translating the word problem into an algebraic expression, we have;
23 + b ≤ -276
Simplifying further, we have;
b ≤ -276 - 23
b ≤ -299
Kayo earns a weekly salary of $372 at All Sports, Next month, she will be promoted from assistant buyer to head buyer. In her new position, she will be paid $831.33
semimonthly. How much more per year will Kayo earn as a head buyer than as assistant buyer?
Answer:
ok so if she gets paid 372 we just multiply this by 4 since there's 4 weeks in a month then we multiply by 4 so
372*4*12=17856
now we just multiply 831.33 by 2 since she is paid semimonthly and we multiply by 12
831.33*2*12=19951.92
now we just subtract
19951.92-17856=2095.92
so she gets paid 2095.92 more dollars per year
Hope This Helps!!!
HELP PLEASE!!! So for this problem is got 0.48 however I just wanted to confirm that my answer is correct. Can someone please help me if the answer is wrong and how to solve it. Thank your for your time
Answer:
ur answer is correct
A =xy
A = 1.6×0.3 = 0.48
What conclusion can be made based on this multiplication problem?
8 × 6 = 48
Eight is 6 times greater than 48.
Eight is 8 times greater than 48.
Forty-eight is 6 times greater than 8.
Forty-eight is 8 times greater than 8.
Plss helpp
I need to pass
9514 1404 393
Answer:
P' = (3, -5)
Step-by-step explanation:
Rotation 180° about the origin is the same as reflection across the origin. The transformation is given by ...
(x, y) ⇒ (-x, -y) . . . . . . the signs of the coordinates are both changed
P(-3, 5) ⇒ P'(3, -5)
Find the gradient of the tangent line to the curve y=-x² + 3x at the point (2, 2).
Answer:
Y' = - 1
Step-by-step explanation:
Y' = - 2x +3
So y' (2,2) =-2*2 +3= - 1
Suppose the random variables X, Y, and Z have the following joint probability distribution. x y z f ( x , y , z ) 1 1 1 0.05 1 1 2 0.10 1 2 1 0.15 1 2 2 0.20 2 1 1 0.20 2 1 2 0.15 2 2 1 0.10 2 2 2 0.05 Determine the conditional probability distribution of X given that Y
Answer:
Determine the conditional probability distribution of X given that Y = 1 and Z = 2. Round your answers to two decimal places (e.g. 98.76).
answer:
Given that Y = 1 : 2/5
Given that Z = 2 : 3/5
Step-by-step explanation:
The conditional probability distribution of X F x | yz^( x )
Given that Y = 1
F x | yz . ( x | yz ) = 2/5
Given that z = 2
= 3/5
attached below is the detailed solution
All I need is number one
Answer:
a. 7 ÷ 4 yes
b. 4 ÷ 7 no
c. [tex]\frac{7}{4}[/tex] yes
d. [tex]\frac{4}{7}[/tex] no
e. 7 × [tex]\frac{1}{4}[/tex] yes
f. [tex]1\frac{3}{4}[/tex] yes
Step-by-step explanation:
hope this helps ^^
What is the product of 2x(5+3)-4^2
Answer:
2×8-4^2
=16-16
=0
0 is the porduct
Many electronics follow a failure rate described by an exponential probability density function (PDF). Solar panels are advertised to last 20 years or longer, but panels made in China are failing at a higher rate. The time-to-failure of this device is usually exponentially distributed with mean 13 years. What is the probability of failure in the first 5 years
Answer:
The right answer is "0.3193".
Step-by-step explanation:
According to the question,
Mean,
[tex]\frac{1}{\lambda} = 13[/tex]
[tex]\lambda = \frac{1}{13}[/tex]
As we know,
The cumulative distributive function will be:
⇒ [tex]1-e^{-\lambda x}[/tex]
hence,
In the first 5 years, the probability of failure will be:
⇒ [tex]P(X<5)=1-e^{-\lambda\times 5}[/tex]
[tex]=1-e^{-(\frac{1}{13} )\times 5}[/tex]
[tex]=1-e^(-\frac{5}{13})[/tex]
[tex]=1-0.6807[/tex]
[tex]=0.3193[/tex]
Which of the following statements provides the correct freezing and boiling points of water on the Celsius and Fahrenheit temperature scales?
The freezing point of water is 0°C or 32°F while the boiling point of water is 100°C or 212°F.
TemperatureTemperature is the measure of the degree of hotness or coldness of a substance or place. It is usually expressed Fahrenheit and Celsius scale. Temperature indicates the direction of heat flow.
The freezing point of water is 0°C or 32°F while the boiling point of water is 100°C or 212°F.
Find out more on Temperature at: https://brainly.com/question/24746268
Is the proportion 28/16 = 14/8 correct
Answer:
yes
Step-by-step explanation:
its correct because divide by 2/ 28/16=14/8
maybe
Find the total amount that must be repaid on the following note described.
$8,593 borrowed at 15.5% simple interest
What is the total amount to be repaid 3 years, 125 days later? (Round your answer to the nearest cent.)
Answer:
simple interest=principal x rate x time÷100
amount borrowed=$8593
125days to year
365 days=1 year
125=125/365x1
0.3424657534246575year
in all there is 3+0.3424657534246575=3.3424657534246575years
I=$8593 x 15.5 x 3.3424657534246575÷100
I= $4451.8802739726026941125
total amount to be repaid=amount borrowed+interest
$8593+$ 4451.8802739726026941125
$13044.8802739726026941125
rounded to the nearest cent=$13045.00
Question 9 of 44 What is the measure of 0 ?
A. 2.5. radians
B. 4 radians
C. 5 radians
D. 2.5 Π radians
Answer:
the answer to your question is B. 4 radians