Answer:
3.2
Step-by-step explanation:
Imagine a straight line from the top of the pyramid to the base, the point where the line will meet the base will be half the side of the pyramid. This will form a right angles triangle.
Slope is given by
[tex]\text{Slope}=\dfrac{\Delta y}{\Delta x}\\\Rightarrow \text{Slope}=\dfrac{8.9}{\dfrac{5.6}{2}}=3.17857\\\Rightarrow \text{Slope}\approx3.2[/tex]
The slope of the face of the pyramid is 3.2
QUESTION 05 (10 points) - Sample Size Determination in Estimating Population Mean In this hypothetical scenario, you are working for a consumer protection agency. Your boss assigned you the task of conducting a survey on cheese burgers at a national restaurant chain. In your report, you would need to construct a 90% confidence interval for the mean weight of cheese burgers. Based on past surveys on cheese burgers at this restaurant chain, the standard deviation of weight is 0.21 pound. It is required that the maximum likely sampling error of mean weight be 0.05 pound. A cheese burger at the restaurant chain costs $1.29. What is the required budget in dollars (2 decimals) to have the cheese burgers in your sample, assuming no sales tax
Answer:
$ 37.32 is the required budget in dollars (2 decimals) to have the cheese burgers in your sample
Step-by-step explanation:
Here
Z∝ =1.64
Standard Deviation=S= 0.21
Sampling Error= SE= 0.05
As Sampling Error is found by
SE= z * s/√n
√n= z*s/ SE
n= (z* s/ SE)²
We use the above formula to calculate N
N= ( Z * S/SE)²
N= (1.64 * 0.21/0.05)²
N= 28.9296= 28.93
Cost of N number of burgers
= Cost *N
= $1.29 * 28.93= $ 37.32 is the required budget in dollars (2 decimals) to have the cheese burgers in your sample
During game play, Juan threw 2 darts onto the board.
Determine the likelihood of the scores Juan could get
with his two throws.
4 or greater:
Answer:
likely, impossible, unlikely
Step-by-step explanation:
Answer:likely
Impossible
Unlikely
Step-by-step explanation:
What is the first step when solving the equation 3(3x-5x)+2=-8
Answer:
Collect the like terms
Step-by-step explanation:
(3x-5x)
3x (-2x) + 2 = -8
What is the answer to 1/6 plus 2/3
Answer:
5/6
Step-by-step explanation:
First, you need to make sure they have a common denominator, or else addition is not possible.
Luckily, in this case, 6 and 3 are divisible.
You would multiply 2 by 2/3 to get the common denominator of 6
The new expression would be:
4/6 + 1/6
Now, you just need to add the numerators
4 + 1 = 5
The correct answer would be 5/6.
Hope this helps! Good luck :)
Answer: 5/6
do you have a calculator or sum, cuz it's pretty easy
what is x in 2x + 5x
Answer:
in this question is hard to identify the value of x when it is not equated to a number so hey you'll just have to add to get 7 x
Which transformation reflects f(x)=(x-1)² over the y-axis?
A) f'(x) = 0.3((x-1)²+1)
B) f'(x) = -3((x-1)²+1)
C) f'(x) = (-4x-1)²+1
D) f'(x) = (0.1x-1)²+1
Answer:
A) f'(x) = 0.3((x-1)²+1)
Step-by-step explanation:
There is a 30 percent chance that A can fix her busted computer. If A cannot, then there is a 40 percent chance that her friend B can fix it.
a) Find the probability it will be fixed by either A or B.
b) If it is fixed, what is the probability it will be fixed by B.
a) The probability that the computer will be fixed by either A or B is 58%.
b) The probability that it was fixed by B is 57.14%
Given data:
a)
To find the probability that the computer will be fixed by either A or B, we can use the principle of addition for probabilities.
The probability that A can fix the computer is 30% or 0.30, and the probability that B can fix the computer if A cannot is 40% or 0.40.
Therefore, the probability that either A or B can fix the computer is the sum of these probabilities:
P(A or B) = P(A) + P(B if A cannot) = 0.30 + (0.70 * 0.40) = 0.30 + 0.28 = 0.58
Therefore, there is a 58% probability that the computer will be fixed by either A or B.
b)
Let's denote event A as A fixing the computer and event B as B fixing the computer.
P(A) = 0.30 (probability A can fix the computer)
P(B|A') = 0.40 (probability B can fix the computer given that A cannot)
To find P(B|A), the probability that B fixes the computer given that it was fixed, use Bayes' theorem:
P(B|A) = (P(A|B) * P(B)) / P(A)
Since the computer is fixed, P(A) + P(A') = 1, so P(A) = 1 - P(A') = 1 - 0.30 = 0.70
P(B|A) = (P(A|B) * P(B)) / P(A)
P(B|A) = (1 * 0.40) / 0.70
P(B|A) = 0.40 / 0.70
P(B|A) ≈ 0.5714
Hence, if the computer is fixed, there is a 57.14% probability that it was fixed by B.
To learn more about Bayes's theorem, refer:
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Solve the formula for f2
f =
f1f2/
f1 + f2
Answer:
The answer is "[tex]\bold{ F2 = \frac{F F1}{(F1-F)}}[/tex]"
Step-by-step explanation:
Given:
[tex]\bold{F = \frac{F1 F2}{(F1 + F2)}}\\\\[/tex]
Cross multiplication:
[tex]\to F (F1 + F2) = F1 F2\\\\\to F F1 + F F2 = F1 F2\\\\\to F F1 = F1 F2 - F F2 \\\\\to F F1 = F2 (F1 - F) \\\\\to F2 = \frac{F F1}{(F1-F)}[/tex]
what is 4/11 divided by 4/9 as a fraction
Answer:
9/11
Step-by-step explanation:
To divide, you have to flip the dividend.
So, 4/9 would become 9/4
Then you multiply 4/11 by 9/4
This would give you 36/44
Simplify.
18/22
Simplify some more.
9/11
Hope I helped :)
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Jacob and Sarah are saving money to go on a trip. They need at least $1975 in order to go. Jacob mows lawns and Sarah walks dogs to raise money. Jacob chargers $25 each time he mows a lawn and Sarah chargers $15 each time she walks a dog. The number of dog walks that Sarah has scheduled is no more than four times the number of lawns Jacob has scheduled to mow. Sarah will walk at least 50 dogs. Write a set of constraints to model the problem, with x representing the number of lawns mowed and y representing the number of dogs walked. ( Brainliest Answer) please be honest with your response.
Question asked:Jacob and Sarah are saving money to go on a trip. They need at least $1975 in order to go. Jacob mows lawns and Sarah walks dogs to raise money. Jacob charges $25 each time he mows a lawn and Sarah charges $15 each time she walks a dog. The number of dog walks that Sarah has scheduled is no more than four times the number of lawns Jacob has scheduled to mow. Sarah will walk at least 50 dogs.Write a set of constraints to model the problem, with x representing the number of lawns mowed and y representing the number of dogs walked.
My answer:
They need at least $1975. Jacob charges $25 each time he mows a lawn and Sarah charges $15 each time she walks a dog.
25x + 15y ≥ 1975
The number of dog walks that Sarah has scheduled is no more than four times the number of lawns Jacob has scheduled to mow.
y ≤ 4x
Sarah will walk at least 50 dogs.
y ≥ 50
Hi i need help on letters:
L,A,E,R,T,C,I,S,F,G,H,D,N,and O
Im giving 14 points if u answer all of them!!;)
Answer:
Step-by-step explanation:
E = 10:15 C = 4:5 F = 1:10 D = 1:2 R = 1:3 I = 30: 80 G = 16:48 N = 20: 40
A = 2:1 T = 6:10 S= 9:12 H = 9 O = 1: 11
(wouldve explained them but im in class :)
What integer represents you getting $200 from the bank
Answer:
positive 200 or +200
Step-by-step explanation:
Assume a Poisson random variable has a mean of 5 successes over a 125-minute period.
a. Find the mean of the random variable, defined by the time between successes
b. What is the rate parameter of the appropriate exponential distribution? (Round your answer to 2 decimal places.)
Rate parameter
c. Find the probability that the time to success will be more than 63 minutes. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
Answer:
a
[tex]\mu = 25 [/tex]
b
[tex]\lambda =0.04 [/tex]
c
[tex]P(X > 65 ) =0.0742 [/tex]
Step-by-step explanation:
From the question we are told that
The number of success is n = 5
The time duration is N = 125 minutes
Generally the mean of the random variable is mathematically represented as
[tex]\mu = \frac{N}{n}[/tex]
=> [tex]\mu = \frac{125}{5}[/tex]
=> [tex]\mu = 25 [/tex]
Generally the rate parameter is mathematically represented as
[tex]\lambda = \frac{1}{\mu}[/tex]
=> [tex]\lambda = \frac{1}{25}[/tex]
=> [tex]\lambda =0.04 [/tex]
Generally the cumulative distribution function for exponential distribution function is
[tex]F(x) = \left \{0 \ \ \ \ \ \ x \le 0}} \atop {1 -e^{-\lambda t }\ x>0}} \right.[/tex]
Generally the probability that the time to success will be more than 63 minutes is mathematically represented as
[tex]P(X > 65 ) = 1 - P(X \le 65)[/tex]
Here
[tex]P(X \le 65) = 1 -e^{-65 * \lambda }[/tex]
=> [tex]P(X \le 65) = 1 -e^{-65 * 0.04 }[/tex]
=> [tex]P(X \le 65) = 0.92573[/tex]
So
[tex]P(X > 65 ) = 1 - 0.92573 [/tex]
[tex]P(X > 65 ) =0.0742 [/tex]
Use the figure to find the measure of <6
Step-by-step explanation:
angle 6 is equal to 124° because those two angles are vertical angles. And vertical angles are always equal to each other
I’LL MARK BRAINLEST! :)
Can y’all help me ...
Answer:
b=4
Step-by-step explanation:
1. Write equation out
•3b-6+b-2=180
2. Combine like terms
•4b-8=180
3. Add the 8 to both sides
•4b-8=180
+8. +8
4b=188
4. Divide by 4
•4b=188
÷4. ÷4
b=47
Anna found a piece of sediment with a diameter of 0.977 millimeters. Write the size of Anna’s sample in expanded form without exponents
Answer:
The answer in the expanded form is (0.9 + 0.07 + 0.007) millimeters
Step-by-step explanation:
Here, we want to write the size of the diameter of the sediment in the expanded form without exponents
Thus, we have;
0.977 = 0.9 + 0.07 + 0.007
The size of Anna's sample in expanded form can be written be expanding the decimal places.
The expanded form without exponents is (0.9 + 0.07 + 0.007).
Given:
The given diameter is 0.977 millimeters.
Separate the two decimal place of given number.
[tex]0.977=0.9+0.077[/tex]
Separate the three decimal place of given number.
[tex]0.977=0.9+0.07+0.007[/tex]
The expanded form without exponents is (0.9 + 0.07 + 0.007).
Learn more about number expansion here:
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Select all the distribution shapes for which the median could be much less than the mean.
Group of answer choices
symmetric
bell-shaped
skewed left
skewed right
bimodal
Answer:
Options D and E. See explanation for more understanding.
Step-by-step explanation:
Select all the distribution shapes for which the median could be much less than the mean.
OPTIONS:
(A) NOT APPLICABLE
In a symmetric distribution (a perfectly symmetric distribution), the median is equal to the mean.
(B) NOT APPLICABLE
A bell-shaped distribution is same as the standard normal distribution. The median here is equal to the mean.
(C) NOT APPLICABLE
In a left-skewed distribution, the median is greater than the mean.
(D) APPLICABLE
In a right-skewed distribution, the median is much less than the mean.
(E) SELDOM APPLICABLE
A bimodal distribution is one with two modes; in other words, two observations with the same frequency of occurrence. A bimodal distribution has its mean equal to its median if it is a symmetric distribution and otherwise if it is an asymmetrical distribution.
g Nationwide, a certain disease occurs only a small proportion of people (.000215). A certain town has 74,000 residents. Use the Poisson approximation. c) Determine the probability that the town has 30 or fewer residents with the illness.
Answer:
The probability that the town has 30 or fewer residents with the illness = 0.00052.
Step-by-step explanation:
So, we have the following set of data or information or parameters given from the question above and they are; the number of people living in that particular society/community/town = 74,000 residents and the proportion of people that the diseases affected = .000215.
The first step to do is to determine the expected number of people with disease. Thus, the expected number of people with disease = 74,000 × .000215 = 15.91.
Hence, the probability that the town has 30 or fewer residents with the illness = 1.23 × 10^-7 × 15.91^30/ 2.65253 × 10^-32 = 0.00052.
Note the formula used in the calculating the probability that the town has 30 or fewer residents with the illness = e^-λ × λ^x/ x!
please help!!!!!!!!!!
Answer:
Is B
3x+3
____
4x
Step-by-step explanation:
I think is B
Points H, G and F are collinear. Point G is between Hand G. Solve for x. HG = x, GF = 1, HF = 10 *
Answer:
x = 11
Step-by-step explanation:
It is given that,
Points H, G and F are collinear. Point G is between H and G.
It means,
HG = GH + HG
We have, HG = x, GH = 1, HG = 10
Putting all the values, we get:
x = 1 +10
x = 11
It is very clear that the value of x is 11.
Cody has two bags of counters, bag A and bag B.Each of the counters has either an odd number or an even number written on it. There are 10 counters in bag A and 7 of these counters have an odd number written on them. There are 12 counters in bag B and 7 of these counters have an odd number written on them. Cody is going to take at random a counter from bag A and a counter from bag B.
a) Complete the tree diagram.
Harriet also has a bag of counters. Each of her counters also has either an odd number or an even number written on it. Harriet is going to take at random a counter from her bag of counters. The probability that the number on each of Cody's two counters and the number on Harriet's counter will all be even is 3/100.
b)Find the least number of counters that Harriet has in her bag.
monke monked mon key
the product of 9 and the sum of a number z and 4
What are the similarities and differences between translations, reflections, and rotations? Describe a real-world transformation? Give examples of two different transformations.
Answer:
There are four main types of transformations: translation, rotation, reflection and dilation.Translation moves the object without rotating it or changing its size. Reflection flips the object about a line of reflection. Rotation rotates a figure about a fixed point. Dilation changes the size of a figure without changing its essential shape.When you reflect a point across the x-axis, the x-coordinate remains the same,but the y-coordinate is transformed into its opposite. a negative angle of rotation turns the figure in a clockwise direction.Transformation can be done in a number of ways, including reflection, rotation, and translation. ~When you reflect a point across the x-axis, the x-coordinate remains the same,but the y-coordinate is transformed into its opposite. a negative angle of rotation turns the figure in a clockwise direction.
Step-by-step explanation:
Transformation simply means changing the size and location of shapes, lines and points in the coordinate geometry
The similarities
Translations, reflections, and rotations are all rigid transformations
This means that, they do not change the side lengths and angle measure of the shape they transform.
The differences
Translation: can only change the position of shapes without rotating or flipping the shape.
Rotation: This means that a shape is to be turned around a center at a particular degree
Reflection: This simply means that, a shape is mirrored over a line
Real-world transformation
A scenario is when the blades of a fan rotates when the fan is powered on
Examples
Reflection
MirrorLeaves of a bookRotation
Fan rotationWheels of vehicleTranslation
Movement Changing positionsRead more about transformations at:
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Suppose a carpenter's ruler was marked in thirty-seconds. What would be the fraction and its decimal equivalent for the mark on the ruler between 29/32 and 30/32?
Answer:
the fraction and its decimal equivalent for the mark on the ruler
= 59/64 = 0.921875
Step-by-step explanation:
Given that;
A CARPENTER 's ruler is marked in thirty seconds
mark on the ruler between 29/32 and 30/32 is the average of the values
we know that average is the summation of all terms divided by the number of appearance of terms
so
= (29/32 + 30/32) / 2
= ((29 + 30) / 32) / 2
= (59 / 32) / 2
= 59 / 64
= 0.921875
therefore the fraction and its decimal equivalent for the mark on the ruler = 59/64 = 0.921875
F = ma
(a) Solve this equation for a.
(b) Let the force be units and the mass be m = 10 units. What is the acceleration, a?
(c) Let the force be F = 25 units and the acceleration be a = 5 units. What is the mass, m?
Let
F--------> represent the force
m--------> represent the mass
a-------> represent the acceleration
we know that
The formula that relates three quantities: Force (F), mass (m), and acceleration (a) is equal to
Part a) Solve this equation for a
Divide both sides by the mass
therefore
the answer part a) is equal to
Part b) Let the force be 25 units and the mass be m = 10 units. What is the acceleration, a?
we know that
the formula of acceleration is equal to
in this problem
we have
Substitute the values n the formula
therefore
the answer part b( is equal to
Part c) Let the force be F = 25 units and the acceleration be a = 5 units. What is the mass, m?
we know that
Solve for m
Divide both sides by the acceleration
in this problem
we have
Substitute the values n the formula
therefore
the answer Part c) is
In a laboratory, 3 technicians are analyzing the active ingredient in the product vials. Amir, Betty, and Carlos analyze 0.55, 0.30, and 0.15 of the vials, respectively. Inaccurate are 0.6 percent of the analyses conducted by Amir, 0.4 percent of the analyses conducted by Betty, and 1.0 percent of the analyses conducted by Carlos in this study. What is the probability that an inaccurate analysis, detected at final verification, was conducted by Carlos
Answer:
The probability is [tex]P(C | I) = 0.025[/tex]
Step-by-step explanation:
From the question we are told that
The proportion analyzed by Amir is P(A) = 0.55
The proportion analyzed by Betty is P(B) = 0.30
The proportion analyzed by Carlos is P(C) = 0.15
The inaccuracy by Amir is p = 0.6% = 0.006
The inaccuracy by Betty is b = 0.4% = 0.004
The inaccuracy by Carlos is c = 0.1% = 0.001
Generally the probability of inaccurate analysis is mathematically represented as
[tex]P(I) = P(A) * p + P(B) * b + P(C) * c[/tex]
=> [tex]P(I) = 0.55 * 0.006 + 0.30 * 0.004 + 0.15 * 0.001 [/tex]
=> [tex]P(I) = 0.006 [/tex]
Generally the probability that an inaccurate analysis, detected at final verification, was conducted by Carlos is mathematically represented as
[tex]P(C | I ) = \frac{P(C) * c}{P(I)}[/tex]
=> [tex]P(C | I) = \frac{ 0.15 * 0.001}{ 0.006}[/tex]
=> [tex]P(C | I) = 0.025[/tex]
Roxy is multiplying 1/8 by 4/3 use the drop down
the answer ur welcome
Which of the following are like terms
Answer:
i would say a but i could be wrong
Step-by-step explanation:
A stick is broken into two pieces, at a uniformly random breakpoint. Find the CDF and average of the length of the longer piece.
Answer:
Step-by-step explanation:
See attachment