Answer:
The 99% confidence interval is [tex] 403.33 < \mu < 462.67 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The sample mean is [tex]\= x = 433[/tex]
The standard deviation is [tex]\sigma = 115[/tex]
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.58 * \frac{115 }{\sqrt{100} }[/tex]
=> [tex]E = 29.67 [/tex]
Generally 99% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]433 -29.67 < \mu < 433 + 29.67[/tex]
=> [tex] 403.33 < \mu < 462.67 [/tex]
Tell whether the sum is positive, negative, or zero without adding them.
-8 + 20
Answer:
The sum is positive.
Step-by-step explanation:
The 20 is a far greater value than -8, so no matter what, when you add them the sum will be positive. Though this would not be the same were the -8 greater than -20.
Hope this helps!
Sue bought 2 large cans of dark beans and 4 pounds of chicken. Each can of beans
costs $2.19. Her total cost was $ 20.34. How much did each pound of chicken cost?
Which each equation could you write to solve this problem?
Answer:
3.99
Step-by-step explanation:
2.19x2=3.99
20.34-4.39=15.96
15.96 divided by 4 =3.99
All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.
a
How many hours would it take to fill the order if the number of working machines decreased by factor of 2?
Answer:
44 hours
Step-by-step explanation:
just do 22 x 2
I toss a coin 60 times. It lands on tails 24 times. What percent of the time does it land on tails?
Uma caixa contém 40 bolinhas de jogo de tênis, sendo 10 verde, 14 azuis e 16 vermelhas. Retirando uma bola ao acaso da caixa, qual a probabilidade desta bola ser vermelha? Assinale a alternativa correta, que representa a probabilidade desta situação.
qual dessas quatro e a resposta .
14 / 40
15 / 40
16 / 40
17 / 40
Answer:
p = 15/40
Step-by-step explanation:
Since the total number of marbles is 40, that is our size of the sample. there are 16 red ones on that sample, so the probability of extracting a red marble from the box is given by the ratio of successes divided the total number of marbles:
p = 15/40
What are the answers to 11 and 12
v (t) = 32,000 (0.84)
Find the initial value of the car and the value after 11 years.
Round your answers to the nearest dollar as necessary
Answer:
c
Step-by-step explanation:
c because
Graph the solution of the inequality 2x - (3 – x) > x + 1 on the number line.
Answer:
do multiply
Step-by-step explanation:
and take line in right side
The solution of the inequality 2x - (3 – x) > x + 1 is the values greater than 2. Therefore, option D is the correct answer.
The given inequality is 2x - (3 – x) > x + 1.
What is the solution of the inequality?A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement.
Now, 2x - (3 – x) > x + 1 can be solved as follows:
2x -3+x>x+1 (Simplify the bracket)
⇒3x-3>x+1
Subtract x on both the sides of the inequality.
That is, 3x-3-x>x+1-x
⇒2x-3>1
Add 3 on both the sides of the inequality.
That is, 2x>4
Divide 2 on both the sides of the inequality.
That is, 2x÷2>4÷2
⇒ x > 2
The solution of the inequality 2x - (3 – x) > x + 1 is the values greater than 2. Therefore, option D is the correct answer.
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if 2 log x + 3 log y = 0, find y in terms of x.
Answer: If 2 log x + 3 log y = 0, find y in terms of x.
sorry for my messy handwriting!!!
Step-by-step explanation:
What is the Y intercept of the line graphed on the grid
Answer:
5.5
Step-by-step explanation:
The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.
Recall the slope-intercept equation, [tex] y = mx + b [/tex], where m = slope of the line, b = y-intercept.
To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{6 -(-2)} = \frac{-6}{8} = -\frac{3}{4} [/tex].
Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):
[tex] y = mx + b [/tex]
[tex] 1 = -\frac{3}{4}(6) + b [/tex]
[tex] 1 = -\frac{18}{4} + b [/tex]
[tex] 1 = -4.5 + b + 4.5 [/tex]
[tex] 1 + 4.5 = -4.5 + b + 4.5 [/tex]
[tex] 5.5 = b [/tex]
Therefore, b = y-intercept = 5.5.
To generate the equation of the line, plug in the values of m and b, we would have:
y = ¾x + 5.5
The y-intercept of the line of the graph is 5.5.
Find three consecutive even integers whose sum is -42
Answer:
Three consecutive even integers are x, x+2, x+4.
Step-by-step explanation:
Their sum is x+x+2+x+4 = 3x+6.
Hope this helped! <3
Tony bought a new pair of soccer cleats that was originally priced at $110.00 He received a 40% discount. What is the total sale price for the cleats
Answer:
$44
Step-by-step explanation:
So this original price is 110 dollars, with a 40% discount.
1) You want to change 40% to a decimal to be able to multiply. this is 40/100=0.4
2) With that in mind you can then do 110x0.4=44
That means the new discounted price is $44.
Does anyone know this answer !!!!!!
Answer:
13
Step-by-step explanation:
5x + 25 = 7x - 1
-7x. -7x
-2x + 25 = -1
-25. -25
-2x = -26
-2. -2
x = 13
Find the limit
(calculus)
Answer:
I believe [tex]\lim_{x \to a} f(x)[/tex] also equals 0.
Step-by-step explanation:
We know that g(x) has to be greater than or equal to 0. That means f(x) has to be smaller than g(x) or equal to 0.
If we plug in any value of x, f(x) will be positive because of the absolute value. The only way we are going to get f(x) smaller than g(x) or equal to g(x) is to have very small fractions.
Therefore, if [tex]\lim_{x \to a} g(x)=0[/tex], then [tex]\lim_{x \to a} f(x)=0[/tex] because f(x) must be smaller or equal to 0 as well.
Answer:
[tex]\displaystyle{ \lim_{x\to a}f(x)=0[/tex]
Step-by-step explanation:
The other user posted a great answer, but I would like to show you a more mathematical way!
We have [tex]|f(x)|\leq g(x)[/tex].
By the definition of absolute value, this is the same as saying:
[tex]f(x)\leq g(x)\text{ and } -f(x)\leq g(x)[/tex]
For the right, we can divide both sides by -1 to acquire:
[tex]f(x)\leq g(x)\text{ and } f(x)\geq- g(x)[/tex]
We can now combine them. This yields:
[tex]-g(x)\leq f(x)\leq g(x)[/tex]
Now, we can use the Squeeze Theorem (a.k.a. Pinch or Sandwich Theorem). The Squeeze Theorem posits that if we have:
[tex]g(x)\leq f(x)\leq h(x)[/tex]
And:
[tex]\displaystyle{ \lim_{x \to c} g(x)= \lim_{x \to c} h(x)=L}[/tex]
Then the following must be true:
[tex]\displaystyle{ \lim_{x \to c} f(x)=L[/tex]
We have:
[tex]-g(x)\leq f(x)\leq g(x)[/tex]
And we know that:
[tex]\displaystyle{ \lim_{x \to a} g(x)=0[/tex]
Then it follows that:
[tex]\displaystyle{ \lim_{x \to a} -g(x)=- \lim_{x \to a} g(x)=0[/tex]
Therefore, by using the Squeeze Theorem, we can conclude that:
[tex]\displaystyle{ \lim_{x\to a}f(x)=0[/tex]
And we're done!
There were some people on a boat 26 people got off the boat at the first harbor. 22 people got on the boat. Now there are 74 people on the boat. How many people were on the boat to begin with?
Answer:
78 people were on the boat to begin with.
Step-by-step explanation:
Moving backwards is the way to solve this question.
74 - 22 = 52
52 + 26 = 78
And to prove the answer is correct.....
78 - 26 = 52
52 + 22 = 74
Divide the number 90 into three parts in the ratio 1:4:5.
Answer:
9, 36, and 45
Step-by-step explanation:
The order is 9, 36, and 45 because as we have to divide 90 into 1:4:5, 1+4+5=10 total parts. Then 90 divided by 10 equals to 9. The first number has 1 part, so 9x1=9 for the first number. For 4 parts, 9x4=36 for the second number. For 5 parts, 9x5=45 for the third number. The order is 9, 36, and 45. Hope it helps!
When we divide 90 in 1:4:5 ratio so it comes 9,36, and 45.
Given that,
The number is 90. We have to divide the above number in 1:4:5 ratio.
Based on the above information, the calculation is as follows:
x + 4x + 5x = 90
10x = 90
x = 9
Now multiply each ratio with 9 to get each value.
So, the values should be 9,36, and 45.
Therefore we can conclude that when we divide 90 in 1:4:5 ratio so it comes 9,36, and 45.
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Simplify and find the value for 1) x = -1, y = 1 and z = 2 (x – 2y) (3x2 + 4xy – y 2 )
Answer:
Step-by-step explanation:
(1-2*1) (3*2+4*-1*1- 1*2)
=-1 (6+4-1-2)
-1*7
-7
What is |-5 x 6 + 7|?
23
⊝
-65
⊝
-37
⊝
37
Answer:
your answer is A
Step-by-step explanation:
HELP! Giving branliest to who answers!!!
Answer: A. -1.8
Step-by-step explanation: Hi there!
First, we have to see the constant rate of change in the x and y values.
For x: 2
For y: -3.6
If the slope is m=y/x
then we can do
-3.6/2
that simplifies to
-1.8/1
which is
-1.8
Hope this answer helps you!
12 apples to 8 oranges
Alexa is the popular virtual assistant developed by Amazon. Alexa interacts with users using artificial intelligence and voice recognition. It can be used to perform daily tasks such as making to-do lists, reporting the news and weather, and interacting with other smart devices in the home. In , the Amazon Alexa app was downloaded some 2800 times per day from the Google Play store (AppBrain website). Assume that the number of downloads per day of the Amazon Alexa app is normally distributed with a mean of 2800 and standard deviation of 860. What is the probability there are 2000 or fewer downloads of Amazon Alexa in a day (to 4 decimals)? What is the probability there are between 1500 and 2500 downloads of Amazon Alexa in a day (to 4 decimals)? What is the probability there are more than 3000 downloads of Amazon Alexa in a day (to 4 decimals)? Assume that Google has designed its servers so there is probability 0.01 that the number of Amazon Alexa app downloads in a day exceeds the servers' capacity and more servers have to be brought online. How many Amazon Alexa app downloads per day are Google's servers designed to handle (to the nearest whole number)?
Step-by-step explanation:
What is the probability there are 2000 or fewer downloads of Amazon Alexa in a day (to 4 decimals)?
First, find the z-score.
z = (x − μ) / σ
z = (2000 − 2800) / 860
z = -0.930
Use a chart or calculator to find the probability.
P(Z < -0.930) = 0.1761
What is the probability there are between 1500 and 2500 downloads of Amazon Alexa in a day (to 4 decimals)?
Find both z-scores.
z = (x − μ) / σ
z₁ = (1500 − 2800) / 860
z₁ = -1.512
z₂ = (2500 − 2800) / 860
z₂ = -0.349
Use a chart or calculator to find the probability.
P(-1.512 < Z < -0.349) = P(Z < -0.349) − P(Z < -1.512)
P(-1.512 < Z < -0.349) = 0.3636 − 0.0653
P(-1.512 < Z < -0.349) = 0.2983
What is the probability there are more than 3000 downloads of Amazon Alexa in a day (to 4 decimals)?
Find the z-score.
z = (x − μ) / σ
z = (3000 − 2800) / 860
z = 0.233
Use a chart or calculator to find the probability.
P(Z > 0.233) = 1 − P(Z < 0.233)
P(Z > 0.233) = 1 − 0.5919
P(Z > 0.233) = 0.4081
Assume that Google has designed its servers so there is probability 0.01 that the number of Amazon Alexa app downloads in a day exceeds the servers' capacity and more servers have to be brought online. How many Amazon Alexa app downloads per day are Google's servers designed to handle (to the nearest whole number)?
Use a chart or calculator to find the z-score given the probability.
P(Z > z) = 0.01
P(Z < z) = 0.99
z = 2.3263
Now find the corresponding number for that z-score.
z = (x − μ) / σ
2.3263 = (x − 2800) / 860
x = 4801
Using the binomial probability principle, the probability values for the number of downloads are :
P(X ≤ 2000) = 0.1762 P(1500 ≤ X ≤ 2500) = 0.2981P(X > 3000) = 0.4081Maximum number of downloads = 4800Given the Parameters :
Mean, μ = 2800Standard deviation, σ = 860The Zscore formula ::
Zscore = (X - μ) / σ1.) Probability of 2000 or fewer downloads :
P(X ≤ 2000) = P(Z ≤ (2000 - 2800)/860)) = -0.930
Using a normal distribution table :
P(Z ≤ - 0.930) = 0.1762
2.) Probability of between 1500 and 2000 downloads :
P(1500 ≤ X ≤ 2500) = P(Z ≤ (2500 - 2800)/860) - P(Z ≤ (1500 - 2800)/860)
P(1500 ≤ X ≤ 2500) = P(Z ≤ - 0.349) - P(Z ≤ - 1.511)
P(1500 ≤ X ≤ 2500) = 0.3635 - 0.0654
P(1500 ≤ X ≤ 2500) = 0.2981
3.) Probability of more than 3000 downloads :
P(X > 3000) = P(Z > (3000 - 2800) / 860)) = 0.2325
P(Z > 0.2325) = 1 - P(Z < 0.2325)
Using a normal distribution table :
P(Z > 0.2325) = 1 - 0.5919 = 0.4081
4.) Number of downloads given a probability of 0.01
P(X > 0.01) ;
Using a normal distribution table :
The Z score corresponding to P(Z > 0.01) is 2.326
Using the Zscore formula to calculate the number of downloads, X ;
Zscore = (X - μ) / σ
2.326 = (X - 2800) / 860
2.326 × 860 = X - 2800
2000.36 = X - 2800
X = 2000.36 + 2800
X = 4800.36
Therefore, maximum daily download system is designed to handle 4800.
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All of the following represent the same function except
All of the aforementioned represent the same function except: C. {(0, 1), (2, 3), (4, 5), (7, 8)}.
What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.
The types of function.In Mathematics, there are different types of function and these include the following;
Modulus functionSignum functionPeriodic functionInverse functionPiece-wise defined function.Logarithm functionFrom the first mapping, we can logically deduce the following:
when x = 1, y = 0
y = x - 1
0 = 1 - 1
when x = 3, y = 2
y = x - 1
2 = 3 - 1
when x = 5, y = 4
y = x - 1
4 = 5 - 1
when x = 8, y = 7
y = x - 1
7 = 8 - 1
For the ordered pair, we have:
when x = 0, y = 1
y = x + 1
1 = 0 + 1
when x = 2, y = 3
y = x + 1
3 = 2 + 1
when x = 4, y = 5
y = x + 1
5 = 4 + 1
Therefore, the function for these ordered pairs is equal to y = x + 1.
For the table of value, we have:
when x = 1, y = 0
y = x - 1
0 = 1 - 1
In this context, we can reasonably infer and logically deduce that all of the aforementioned represent the same function except {(0, 1), (2, 3), (4, 5), (7, 8)}.
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What is the solution to this equation?
3x - 5 + 2x = 25
O A. x = 6
O B. x = 30
O C. x = 4
O D. x = 20
Answer:
A. X = 6.
Step-by-step explanation:
First, combine like-terms. Combine 3X and 2X to get 5X.
Next, add five to both sides to get rid of the five on the other side. This should get you 30.
Finally, divide by 5, you should get X = 6.
Calculate the vertices
(x+3, y + 1)
Answer:
A' (4,4), B' (5,7), C' (9,7)
Step-by-step explanation:
IM NOT GOOD AT MATH PLEASE HELP WITH THESE FEW QUESTIONS ASAP
Answer:
for the first question
solve for t:t= square root of 2da/a (2da over a)
Solve for a : a= 2d/t squared
Solver for d: d=t squared /2(over 2)
Step-by-step explanation:
Which equation represents the graphed function?
O y=-2x + 3
O y = 2x + 3
O y=*+3
O y=-*x+3
Answer: y= -2x + 3
Step-by-step explanation:
x+y=k
x-y=k
The solution of the system shown is
O (OK)
O (0,0)
O (k, O)
Answer: (0,0)
Step-by-step explanation:
The only integer"s" that both add and subtract to the same value are 0 "and" 0. Properly stated, the only integer that can be added to itself and subtracted from itself with the same outcome is 0.
Of course, k will also be 0
So this system of equation works out to be
0 + 0 = 0
0 - 0 = 0
Determine the slope and y intercept please answer 4y+20=x . 17 points
Answer:
the slope is m= [tex]\frac{1}{4}[/tex] and the y-intercept is: (0, -5)
Step-by-step explanation:
hope this helps! <3
Describe how to plot point A(-6, 2) on a coordinate plane.
Answer:
Read the explanation
Step-by-step explanation:
Go to desmos (website) and open the Graphic Calculator (or you can use any graphic calculator) . Then in one of the text boxes on the side write A(-6,2) and it'll plot it. Or make a paper graph (Make sure the lines are spaced out correctly) and go to -6 on the x axis and 2 on the y axis, the point in which those 2 intecept is the plotted dot. Or print a graph and plot it there, both work.
For the function f(x)=ab^x, what are the possible values for b if the function is an exponential growth function? Please select two answers.
A) 1-0.00001
B) 0.9
C) square root of 2
D) 1/2
E) 1.1
Answer:
C and E
Step-by-step explanation:
the b value of an exponential function needs to be greater than one to be exponential growth
[tex] \sqrt{2} [/tex]
and 1.1 are the only 2 that are greater than one
The possible values for b are those that are greater than 1. The correct answers are square root of and 1.1, the correct options are C and E.
What is exponential growth or decay function?Consider the function:
[tex]y = a(1\pm r)^m[/tex]
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is plus sign, then there is exponential growth happening by r fraction or 100r %
If there is negative sign, then there is exponential decay happening by r fraction or 100r %
We are given that;
f(x)=ab^x
Now,
An exponential growth function is a function that increases as x increases. For the function f(x) = ab^x, this means that the base b must be greater than 1, so that the exponent x makes the function larger.
Therefore, by the exponential growth and decay the answer will be square root of 2 and 1.1
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