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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Use the number line to determine where to plot each rational number.
4.2 is
StartFraction 7 over 8 EndFraction is
Negative StartFraction 9 over 5 EndFraction is
Answer:
Step-by-step explanation:
Use the number line to determine where to plot each rational number.
4.2 is
✔ between 4 and 5, closer to 4
StartFraction 7 over 8 EndFraction is
✔ between 0 and 1, closer to 1
Negative StartFraction 9 over 5 EndFraction is
✔ between -1 and -2, closer to -2
The number 4.2 is between the 4 and 5, also closer to 4, Agian the number 7/8 between 0 and 1, closer to 1, and -9/5 number between -1 and -2, closer to -2
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have numbers 4.2
The number 4.2 is between the 4 and 5, closer to 4
=7/8 = 0.875
Now 0.875 number between 0 and 1, closer to 1
-9/5 = 1.8
The 1.8 number between -1 and -2, closer to -2
Thus, We can conclude that number 4.2 is between the 4 and 5, closer to 4.
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Simplify the algebraic expression by combining like (or similar) terms.
5x + 5y - 2x + 5y
Answer:
3x + 10y
Step-by-step explanation:
(5x - 2x) + (5y + 5y)
= 3x + 10y
Answer:
10y + 3x
Step-by-step explanation:
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
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tom sold 3 cars ( a total value of $112,500) in the month of january. it is paid only by commission for its seller. he receives a commission of 7%. what is tom’s salary for the month of january?
Answer:
First multiply 112,500 times 3 (because of the 3 cars) answer should be $337,500
Then do the percentage (7%) $23,625
I believe that 23625 is the answerrr
Choose all the lines that are parallel to the line pictured in the graph bellow.
Answer:
a. y = -½x
b. y = -½x + 3
c. 2y = -x - 4
e. x + 2y = 8
Step-by-step explanation:
Parallel lines have the same slope. Therefore, the lines that will be parallel to the given line on the graph would have the same slope as the line of the graph.
First, find the slope of the line on the graph:
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Use the coordinates of any two points on the line. Let's use (-4, 0) and (0, -2)
[tex] m = \frac{-2 - 0}{0 -(-4)} = \frac{-2}{4} = -\frac{1}{2} [/tex]
Slope of the line on the graph is -½.
Check each given line equation, ensure they are in the slope-intercept form and find out if the value of their slope is the same as -½.
Slope-intercept form is given as y = mx + b, where, m = slope.
Option 1: y = -½x
The slope of this line is -½, therefore it is parallel to the line on the graph.
Option 2: y = -½x + 3
The slope of this line is also -½, therefore it is parallel to the line on the graph.
Option 3: 2y = -x - 4
Rewrite in slope-intercept form.
y = -x/2 - 4/2
y = -½x - 2
The slope of this line is -½, therefore it is parallel to the line on the graph.
Option 4: y = 2x - 5.
The slope of this line is 2, therefore it is NOT parallel to the line on the graph.
Option 5: x + 2y = 8
Rewrite in slope-intercept form.
2y = 8 - x
y = 8/2 - x/2
y = 4 - ½x
The slope of this line is -½, therefore it is parallel to the line on the graph.
Factorise 6x squares minus 14x
Find The Difference.
1) 8.5-7.6=
2) 2.5-17.8=
3)-2.9-(7.5)-
4) 3.5-1.9=
Answer:
0.9
-15.3
-10.4
1.6
Step-by-step explanation:
Let me know if I messed up I think I went to fast
Answer:
1. 0.9
2. -15.3
3. -10.4
4. 1.6
Caleb earns $2 for each package delivery he makes in addition to $65 per day. He wants to earn more than $87 each day. Use the inequality 2+65≥87 to determine how many packages, p, Caleb must deliver each day. are made of living cells?
Answer:
Caleb must deliver at least 11 packages a day
P=11
Round 143.596 to the nearest hundredth
Answer:
143.6
Step-by-step explanation: i swear its right
what is 4/6+2/3.?(these are fractions, you're just adding fractions)
Answer:
4/3
Step-by-step explanation:
Multiply 2 by 2, and get 4, then we multiply 3 by 2 and get 6.
Since our denominators match, we can add the numerators. 4 + 4 = 8. That gives us the sum, which is 8/6. Then you divide by 2. So 8/6 / 2 gives you 4/3.
Answer:
4/3 or 1 1/3
Step-by-step explanation:
1. 4/6 + 2/3
2. 4/6 + 4/6 You have to find the LCM (least common multiple) of the two denominators. In this case it would be 6. You have to multiply 3 by 2 to get 6. What you do to the bottom you also do to the top so you have to also multiply the numerator (2) by 2.
3. 4/3 or 1 1/3 Afterward, you just have to add straight across without changing the denominator and then if you need to simplify you simplify. Without simplifying, you would get 8/6, but, most teachers will mark it as wrong if you don't simplify. You can then change the improper fraction into a mixed number depending on what your teacher wants.
Joanna, Dana, and Tracy shared some trail mix. Joanna ate 0.125 pound of trail mix, Dana ate 0.1 pound, and Tracy ate 0.12 pound of trail mix. Which lists the friends in order from least to greatest amount of trail mix eaten?
Answer:
Dana, Tracy, Joanna
Step-by-step explanation:
Dana ate 0.1 pound wich is 0.1000. Tracy ate 0.12 which is 0.12000. Joanna ate 0.125 which is 0.12500
Hope this helped :)
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Answer:
it is already an equation
Step-by-step explanation:
Answer:
Already and equation!
Step-by-step explanation:
Name the slop and one point that is on the line represented by the equation: y + 3 = -1/2(x +7)
Answer:
The slope is -1/2 and a point on the line is ( -7,-3)
Step-by-step explanation:
y + 3 = -1/2(x +7)
This is in point slope form
y - y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y - -3 = -1/2(x - -7)
The slope is -1/2 and a point on the line is ( -7,-3)
What is m,y-intercept and the y
Answer: The slope is 500 and the y intercept is 0.
Step-by-step explanation:
To find the slope we need to find the rise and divide it by the run. The y intercept will be when x is equal to 0. And when x is 0 y is also zero because it cuts through the origin meaning that the y-intercept is 0.
The line rises up by 1000 and run by 2 to the right.
Slope : 1000/2 = 500
The slope is 500.
The radius of a circle is 2 inches. What is the circle's area?
Answer:
A= 12.57 inches squared
Step-by-step explanation:
The formula for the area of a circle is A=πr2. Substitute 2 for r, square it, and multiply it by pi (3.14.) The answer is 12.57 inches squared.
Answer:
[tex]\boxed {\tt a\approx 12.57 \ in^2}[/tex]
Step-by-step explanation:
The area of a circle can be found using the following formula.
[tex]a= \pi r^2[/tex]
The radius of the circle is 2 inches.
[tex]r= 2 \ in[/tex]
Substitute the value into the formula.
[tex]a=\pi ( 2 \ in)^2[/tex]
Evaluate the exponent.
(2 in)²= 2 in * 2 in = 4 in²[tex]a= \pi(4 \ in^2)[/tex]
Multiply.
[tex]a=12.5663706 \ in^2[/tex]
Round to the nearest hundredth. The 6 in the thousandth place tells us to round the 6 to a 7.
[tex]a\approx12.57 \ in^2[/tex]
The area of the circle is about 12.57 square inches.
3. Subtract 1.7 - 0.8 = _____ tenths - _____ tenths = _____ tenths = ______ what are the tenths
Answer:
17 tenths - 8 tenths=9 tenths
Step-by-step explanation:
1.7 tenths is 17 tenths, we can see that by multiplying 1.7x10 to get 17
dot he sam with 0.8 to get 8 tenths
ti find the answer, subtract the units. 17-8=9
To observe the effect of a categorical IV on a categorical DV (or variables recoded categorically from quantitative data), you would use the:
Answer:
Dummy Coding
Step-by-step explanation:
Dummy Coding is used to observe the effect of one categorical variable on another.
In this case, the first categorical variable is independent (ICV) while the other is dependent (DCV).
The dummy coding system makes use of two numerical values; 0 representing the absence of an effect and 1 representing the presence of that effect.
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Does this set of ordered pairs represent a function? Why or why not? -1,5), (0, -3), (2, 7), (4,0), (7, 5)) A. No, because two of the y-values are the same. OB. Yes, because there are two xvalues that are the same. OC. Yes, because every xvalue corresponds to exactly one yvalue D. No, because one xvalue corresponds to two different values.
Answer:
C.
Step-by-step explanation:
All the x-values are different and go to one y-value.
Yes this set of ordered pairs represent a function because every x value corresponds to exactly one y value
What are ordered pairs in sets?A function f from a set A to a set B is a set of ordered pairs {(x, y)} such that x in the set A and y is the in the B. For every x ∈ A there is exactly one y ∈ B such that (x, y) is an ordered pair in f. We call this element f(x). We call A the domain and we call B the range.
How do you determine if a set of ordered pairs are functions?A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.
According to the question
Set of ordered pairs represent a function :
(-1,5), (0, -3), (2, 7), (4,0), (7, 5)
As we can observe that every point have different x value for there respective y ,
and A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate.
Hence, Yes, this set of ordered pairs represent a function because every x value corresponds to exactly one y value
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Solve this equation -3-2[4-1]
Answer:
-15
Step-by-step explanation:
(-3-2)*(4-1)
-5*3=-15
Answer:
-15
Step-by-step explanation:
By rule of pemdas, 4-1 = 3. -3 -2= -5. -5 * 3= -15.
-
y=2/3x + 2 and passes through the point (12, 6).
Find an equation perpendicular to the line
A. y=-3/2x + 21
B. y=-3/2x +24
C. y= 2/3x + 14
D. y= 2/3x + 8
Answer:
B. y = -3/2x + 24
Step-by-step explanation:
The perpendicular slope is -3/2x to find the y-intercept use the point given
Plug in
6 = -3/2(12) + b (b = y-intercept)
6 = -18 + b (add 18 on both sides)
24 = b (so)
y = -3/2x + 24
what’s 3/4 of 2/5 ?
** I WILL MAKE UP BRAIN LIST OR SOMETHING
Answer:
[tex] \frac{3}{10} [/tex]
Step-by-step explanation:
[tex] = \frac{3}{4} \times \frac{2}{5} [/tex]
[tex] = \frac{3 \times 2}{4 \times 5} [/tex]
[tex] = \frac{6}{20} [/tex]
[tex] = \frac{6 \div 2}{20 \div 2} [/tex]
[tex] = \frac{3}{10} [/tex]
Answer:
[tex] \frac{3}{10} [/tex]
Step-by-step explanation:
This is a shorter explanation. It's better to use this if you are good at maths or in a higher level.
[tex] \frac{3}{4} \times \frac{2}{5} [/tex]
[tex] = \frac{6}{20} [/tex]
[tex] = \frac{3}{10} [/tex]
That's it.
Alice drops a rubber ball from a height of 4 feet. The equation t2=4/16 represents the amount of time, in seconds, it takes for the ball to reach the ground. How long will it take the ball to reach the ground?
A 1/4 second
B 1/2 second
C 2 seconds
D 4 seconds
Answer:
Letter B
Step-by-step explanation:
Answer:
I belive the answer is B
Step-by-step explanation:
the of a rectangle is 42 square centimeters .it lenngth is 7 centimeters . what is the width of the rectangle
Answer:
6 centimeters
Step-by-step explanation:
Area = Length * Width
42 = 7 * Width
Width = 42/7
Width = 6 centimeters
2. Manny wants to rent a movie. Each movie costs $1 to rent. The function f(x) = X
represents this situation. Explain what x and f(x) represent in this situation."
Pls help it’s due todY
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An Uber driver charges $5.00 for each trip plus $2.75 per mile. Which equation best fits the total charges?
Answer:
y=2.75x+5.00
Step-by-step explanation:
x=miles y=cost
Samantha’s parents give her $10 per week. For each chore that she does not complete, she must repay her parents $1. Which graph models Samantha’s allowance?
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 9).
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (2, 12).
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (1, 6) and (1.5, 16).
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 0).
Answer:
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 9).
Step-by-step explanation:
If she starts (at zero) with $10, that will be the y-intercept (0, 10)
That eliminates one option
Now if she were to not complete her chore, her y value will go down by one
At the same time she does not complete one, her x value will go up
This is because the y value represents money earned while the x value is for chores not completed
That being said, the coordinates should look like this:
(1, 9)
(2, 8)
(3, 7)
(4, 6)
(5, 5)
(6, 4)
(7, 3)
(8, 2)
(9, 1)
(10, 0)
And so on..
(1, 9) matches with the first problem so that is the answer
Answer:
so the answer is a if you didnt understand the other one
Step-by-step explanation:
In ΔTUV, t = 69 inches, u = 74 inches and v=14 inches. Find the measure of ∠T to the nearest degree.
Answer:64
Step-by-step explanation:
comment section
Answer:
64
Step-by-step explanation:
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