Answer:
The expected total amount of time the operator will spend on the calls each day is of 210 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
n-values of normal variable:
Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is [tex]M = n\mu[/tex] and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]
Calls to a customer service center last on average 2.8 minutes.
This means that [tex]\mu = 2.8[/tex]
75 calls each day.
This means that [tex]n = 75[/tex]
What is the expected total amount of time in minutes the operator will spend on the calls each day
This is M, so:
[tex]M = n\mu = 75*2.8 = 210[/tex]
The expected total amount of time the operator will spend on the calls each day is of 210 minutes.
The times of first sprinkler activation for a series of tests with fire prevention sprinkler systems using an aqueous film-forming foam were (in sec)
27 41 22 27 23 35 30 33 24 27 28 22 24
(see "Use of AFFF in Sprinkler Systems," Fire Technology, 1976: 5). The system has been designed so that true average activation time is at most 25 sec under such conditions. Does the data strongly contradict the validity of this design specification? Test the relevant hypotheses at significance level .05 using the P-value approach.
Answer:
We reject H₀, we have enough argument to explain that the production line is out of control. Is producing sprinkler out of specification
Step-by-step explanation:
Data information:
27 41 22 27 23 35 30 33 24 27 28 22 24
sample size n = 13
sample mean x = 27.92
sample standard deviation s = 5.39
The manufacturing process under control will always produce an output with normal distribution, in this case as n < 30 we will use t-student distribution in our test.
Hypothesis Test:
Null Hypothesis H₀ x = 25
Alternative Hypothesis Hₐ x > 25
The Alternative hypothesis indicates that the test is a one-tail test.
Significance level is α = 0.05
From z-table and for α = 0.05 and df = n - 1 df = 13 - 1 df = 12
p-value = 1.782
t(s) = ( x - 25 ) / s/√n
t(s) = ( 27.92 - 25 )/ 5.39/√13
t(s) = 2.92*3.605/ 5.39
t(s) = 1.95
From t-table df = 12 we find that 1.95 corresponds to a p-value < 0.05
then as p-value < 0.05 we are in the rejection region for H₀ then we reject H₀. We can deduce that the production line for sprinkler is given products out of specification
Which graph has a slope of 4/5
Answer: whichever graph that goes up 4 and over 5
Step-by-step explanation:
rise over run, 4 up, 5 right
to find it just look at two points on the line and count how many up and how many horizontal units there are between them :)
if 1 foot= 0.37 metres and 1 miles = 5180 feet, find the number of kilometres in 15 miles
PLEASE ANSWER MAKE SURE YOU ARE RIGHT PLEASE I WILL MARK AS BRAINIEST
FIND THE VOLUME OF THE SPHERE
Answer:
Step-by-step explanation:
r = 1/2 unit
[tex]Volume= \frac{4}{3}\pi r^{3}\\\\=\frac{4}{3}\pi *\frac{1}{2}*\frac{1}{2}*\frac{1}{2}\\\\=\frac{1}{3}*\pi *\frac{1}{2}\\\\=\frac{1}{6}\pi[/tex]
Which graph represents the function f(x) = 2^x+ 3?
Answer:
Where's the graph?
Step-by-step explanation:
2 divided by 0.75 full divison work i dont just need the answer
Answer:
0.375
Step-by-step explanation:
Check the picture below.
whenever we do division of decimals, we have to mind how many decimals are there on each amount, the dividend as well as the divisor, that way we pad with zeros the other amount accordingly whilst losing the dot, for example, to say divide 3 by 0.123, 3 has no decimals, whilst 0.123 has three decimals, so we can just divide 3000 by 0123, so dividing 3 by 0.123 is the same as dividing 3000 by 123. Another example, if we were to divide say 23.761 by 555.89331, the dividend has 3 decimals, that means 3 zeros the other way, the divisor has 5 decimals, that means 5 zeros the other way while losing the dots, so we'd end up dividing 2376100000 by 55589331000, which we can simplify to just 2376100 by 5589331, as you can see in the picture in this case.
Pls help pls help pls help
Answer:
tubol mo mabaho kaya 1 too 5 so it means 5 days ka sa cr nag tutubol, ok i hope it helps its the grett answer do it in your solution paper or computers
what are two solutions of x^2-2x-4=-3+9
Answer:
x^2-2x=10
a few more steps...
the answer is 1+the square root of 11
Factor completely, then place the factors in the proper location on the grid. x2 - 8x + 16
Answer:
( − 4 ) 2
Step-by-step explanation:
2 − 8 + 1 6
2 -4 − 4 + 1 6
x(x-4)-4(x-4)
(x-4)(x-4)
(x-4)2
which can be also written as x-4=0
x=4
Select the correct answer from each drop-down menu.
Some of the images in the diagram are images of polygon 1 from similarity transformations ?
Polygon and polygon are similar to polygon 1.
Answer: 3 and 4
Step-by-step explanation:
Three bags contain 3 red, 7 black; 8 red, 2 black, and 4 red & 6 black balls
respectively. 1 of the bags is selected at random and a ball is drawn from it. If the ball
drawn is red, find the probability that it is drawn from the third bag.
Answer:
[tex]Probability = \frac{4}{15}[/tex]
Step-by-step explanation:
B1 = first bag
B2= second bag
B3 = third bag
Let A = ball drawn is red
Since, there are three bags.
Probability of choosing one bag= P(B1) = P(B2) = P(B3) = 1/3.
From B1: Total balls = 10
3 red + 7 black balls.
Probability of drawing 1 red ball from it , P(A) = 3/10.
From B2: Total balls = 10
8 red + 2 black
Probability of drawing 1 red ball is, P(A) = 8/10
From B3 : Total Balls = 10
4 red + 6 black
Probability of drawing 1 red ball, P(A) = 4/10 .
To find Probability given that the ball drawn is red, that the ball is drawn from the third bag by Bayes' rule.
That is , P(B3|A)
[tex]=\frac{\frac{1}{3} \times \frac{4}{10}} { \frac{1}{3} \times \frac{3}{10} + \frac{1}{3} \times\frac{8}{10} + \frac{1}{3} \times \frac{4}{10}}[/tex]
[tex]=\frac{4}{30} \times \frac{30}{15}\\\\=\frac{4}{15}[/tex]
Therefore, the probability that it is drawn from the third bag is 4/15.
Answer:
4/15
Step-by-step explanation:
Solution of conditional probability problem:
Given:
Bags (3R,7B), (8R,2B), (4R,6B)
Let
P(R,i) = probability of drawing a red AND from bag i
P(R, 1) = 3/10 * (1/3) = 3/30
P(R, 2) = 8/10 * (1/3) = 8/30
P(R, 3) = 4/10 * (1/3) = 4/30
Let
Let P(R) = probability of drawing a red from any bag
P(R) = sum P(R,i) for i = 1 to 3 using the addition rule
= 3/30 + 8/30 + 4/30
= 15/30
= 1 / 2
Conditional Probability of drawing from the third bag GIVEN that it is a red
= P(3 | R)
= P(R, 3) / P(R)
= 4/30 / (1/2)
= 8/30
= 4 / 15
(Since all bags contain 10 balls, by intuition, 4 red from third / 15 total red = 4/15)
Given tan(A)=5 and tan(B)=9, find the value of tan(A−B).
Answer:
tan= 4
Step-by-step explanation:
This is actually very easy, basically u have 5 - 9.
So you have positive nine and a negative sign, which is used for subtraction, so in the integers rule, positive- negative= negative
so its 4.
I HOPE ITS RIGHT, IM 11
If tan(A)=5 and tan(B)=9 the value of tan(A−B) will be -0.086.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between the sides and angles of a right-angle triangle. The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
It discusses how triangle side lengths and angles relate to one another. Using trigonometric formulas and functions, it is mostly used to determine the unknown side lengths and angles of a right-angled triangle. Six different functions are frequently employed in trigonometry.
It is given that tan(A)=5 and tan(B)=9
As we know,
[tex]\rm tan(A -B) = \frac{tan A - tan B}{1- tan A tan B}[/tex]
Substitute the given values we get,
tan(A -B) = (tan A - tan B)/(1 + tan A tan B)
tan(A -B) = (5-9) / (1 + 5 × 9)
tan(A -B) = (-4) / (1 + 45)
tan(A -B) = -4 / 46
tan(A -B) = -2/23
tan(A -B) = - 0.086
Thus ,if tan(A)=5 and tan(B)=9 the value of tan(A−B) will be -0.086.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ2
What Are the values of x and y?
Answer:
y = 72.5
x = 35.
Step-by-step explanation:
First Off, Let's Divide the question.
Let's Find the variable y :
there are 2 y(s), so it is 2y.
equation: 2y +35 =180.
I put 180 because A straight Line is always 180.
2y+35=180
1. Subtract both sides.
2y = 145
y = 72.5
Next,Find x
So y + y + x = 180.
We already know y, which is 72.5
72.5 +72.5 + x = 180
72.5 +72.5
x + 145 = 180
x = 35.
Hope This Helps!
Solve for X in the triangle. Round answer to the nearest TENTH (GIVING BRAINLEST TO BEST ANSWER :D )
Answer:
What ever.....
tan46 = x/8
x = 8×tan46
x = 8,28424251
how many comparisons are needed to merge two ordered lists
[2, 9, 12, 17, 20] and [1, 4, 5, 6, 7, 8, 23]
how many comparisons are needed to merge two ordered lists
[2, 9, 12, 17, 20] and [1, 4, 5, 6, 7, 8, 23]
There are 11 comparisons to merge the two lists
How to determine the number of comparisons?The ordered lists are given as:
[2, 9, 12, 17, 20] and [1, 4, 5, 6, 7, 8, 23]
The number of elements in both lists are:
5 and 12
So, the number of comparison is:
Comparison = 5 + 7 - 1
Evaluate
Comparison = 11
Hence, there are 11 comparisons to merge the two lists
Read more about ordered lists at:
https://brainly.com/question/13326119
#SPJ6
30% of a number is x. What is 100% of the number? Assume x>0.
100% of the number is
Answer:
10x/3
Step-by-step explanation:
30% is to x as 100% is to y
We are looking for y in terms of x.
30/x = 100/y
30y = 100x
y = 100x/30
y = 10x/3
pleaseeeee helpppppppppppp
9514 1404 393
Answer:
maximum height: 26.5 ftair time: 2.5 secondsStep-by-step explanation:
I find the easiest way to answer these questions is to use a graphing calculator. It can show you the extreme values and the intercepts. The graph below shows the maximum height is 26.5 ft. The time in air is about 2.5 seconds.
__
If you prefer to solve this algebraically, you can use the equation of the axis of symmetry to find the time of the maximum height:
t = -b/(2a) = -(40)/(2×-16) = 5/4
Then the maximum height is ...
h(5/4) = -16(5/4)² +40(5/4) +1.5 = -25 +50 +1.5 = 26.5 . . . feet
__
Now that we know the vertex of the function, we can write it in vertex form:
h(t) = -16(t -5/4)² +26.5
Solving for the value of t that makes this zero, we get ...
0 = -16(t -5/4)² +26.5
16(t -5/4)² = 26.5
(t -5/4)² = 26.5/16 = 1.65625
Then ...
t = 1.25 +√1.65625 ≈ 2.536954
The cannon ball is in the air about 2.5 seconds.
How do I convert 345 from base 8 to binary and then hexadecimal?
Answer:
(345)8 = (11100101)2
(11100101)2 = E5
Step-by-step explanation:
Step 1: Look up each octal digit to obtain the equivalent group of three binary digits
(3)8 = (011)2
(4)8 = (100)2
(5)8 = (101)2
Step 2: Group each value of step 1 to make a binary number:
011 100 101
So, (11100101)2 is the binary equivalent to (345)8
Step 3: Converting the binary number to hexadecimal.
Write down the binary number:
11100101
Step 4: Group all the digits in sets of four starting from the LSB (far right). Add zeros to the left of the last digit if there aren't enough digits to make a set of four:
1110 0101
Step 5: Use the table below to convert each set of three into an hexadecimal digit:
1110 = E, 0101 = 5
So, E5 is is the hexadecimal equivalent to the decimal number 11100101.
What is 34% plus 29% times 60
Answer:
34%+29%=63% 63%x60=37.8
Step-by-step explanation:
because math
Answer:
[tex] { \tt({34\% + 29\%) \times 60}} \\ = 63\% \times 60 \\ = \frac{63}{100} \times 60 \\ = 37.8[/tex]
The hardware store where you work charge 80 cents including tax, for a pound of nails. A customer purchases 5 3/4 pound of nails. How much should you charge the customer for nails?
Answer:
$4.60
Step-by-step explanation:
1 lb ---> 80 cents
5 3/4 lb ---> 5 3/4 * 80 cents
[tex] 5 \dfrac{3}{4} \times 80 = [/tex]
[tex] = \dfrac{23}{4} \times \dfrac{80}{1} [/tex]
[tex] = \dfrac{23 \times 80}{4 \times 1} [/tex]
[tex] = \dfrac{1840}{4} [/tex]
[tex] = 460 [/tex]
460 cents = $4.60
Anyone please help, how to do it
Answer:
Step-by-step explanation:
Divide 259875 by the smallest number so that the quotient is a perfect cube. Also find the cube root of the quotient
Answer: The smallest number by which 259875 should be divided to make it a perfect cube is 77.
Step-by-step explanation:
Let's expand the number 259875 into prime factors:
259875 = 3³ ∙ 5³ ∙ 7 ∙ 11
Since in the factorization, 7 and 11 appears only one time, we must divide the number 259875 by 7 · 11 = 77, then the quotient is a perfect cube.
259875 ÷ 77 = 3375
[tex]\sqrt[3]{3375} =\sqrt[3]{3^{3} \cdot 5^{3} } =3 \cdot 5 = 15[/tex]
PLSSS HURRY AND NO LINKS!!
The strongest winds of Hurricane Isabel extended 50 miles in all directions from the center.
What is the area of the hurricane in square miles? Leave your answer in terms of pi.
Answer:
Area of the hurricane = 7853 or 3.14 x 50 squared
WILL MARK YOU JF YOU HELP PLEASE HELP ME!!
Identify the outliers of the data set. Then determine if the outlier increases or decreases the value of the mean.
35, 42, 76, 38, 41, 32, 38, 36, 34, 42, 37
A: 76; decreases
B: 32; decreases
C: 32; increases
D: 76; increases
========================================================
Explanation:
The main group or cluster of values spans from 32 to 42 (inclusive).
Then off on its own is the value 76, which we consider an outlier. This value is fairly far from the group. As a rule, large outliers pull on the arithmetic mean to make it larger than it should be. Think of it like the outlier pulling on the mean as if it was done through a magnet or gravitational pull.
Similarly, small outliers pull the mean to the left to make it smaller than it should be. We don't have any small outliers in this case.
--------------
Let's consider the set
A = {32, 34, 35, 36, 37, 38, 38, 41, 42, 42, 46}
where I've sorted the values and I replaced 76 with 46.
Computing the mean of set A gets us
(32+34+35+36+37+38+38+41+42+42+46)/11 = 38.27 approximately
--------------
Now let's form this set
B = {32, 34, 35, 36, 37, 38, 38, 41, 42, 42, 76}
which is the original set your teacher gave you. It's nearly identical to set A, except that the 46 is now 76 again.
Compute the mean of set B
(32+34+35+36+37+38+38+41+42+42+76)/11 = 41
---------------
Set A has a mean of roughly 38.72 and set B has a mean of 41. We see that the mean has increased.
A credit card company uses these rules to calculate the minimum amount owed: For a bill of less than $100, the entire amount is due. For a bill of at least $100 but less than $500, the minimum due is $100. For a bill of at least $500 but less than $1,000, the minimum due is $300. For a bill of $1,000 or more, the minimum due is $500. Which graph shows the minimum amount due for a credit amount of x (given that the credit limit is $2,000).
An umbrella sprinkler is positioned on a ceiling at a point whose x- coordinate is 0. Negative values of a indicate distances, in meters, to the left of the position of the sprinkler, and positive values indicate distances to the right. The path of water from the sprinkler can be modeled by the quadratic function
w(x) = -1/4(x^2 -12 ) where w(x) is the height of the water, in meters, at position x.
Required:
Which equivalent expressions displays the height of the ceiling as a constant or coefficient?
Answer:
-1/4x² + 3
Step-by-step explanation:
Given that:
Path of sprinkler is modeled by the quadratic function :
w(x) = -1/4(x^2 -12 )
w(x) = height of the water, in meters, at position x
The height of ceiling as a constant or Coefficient = w(x)
Expanding w(x)
-1/4(x^2 -12 )
-1/4 * x² + 1/4 * 12
-1/4x² + 3
The height of ceiling is -1/4x² + 3
Fourth-grade classrooms in several elementary schools are randomly assigned to different antibullying training programs at the beginning of the school year. The school district keeps track of the number of incidents of bullying in each classroom.
This study is an example of __________ study.
Answer:
experimental study.
Step-by-step explanation:
This study is an example of an experimental study.
The type of training program is the independent variable. The number of incidents of bullying is the dependent variable.
Since the participants of our study are affected directly in the research (the fourth-grade children) by not training against anti-bullying, the study is experimental research.
An independent variable is one that is somehow controlled or adjusted to evaluate the effects of a different variable, the dependent. Since we control whether we do bullying training here or not, our kind of training program is our independent variable, which is our dependent variable since we measure its impact on instances of bullying no.
2^5 + 10=?????????????
Answer:
Answer is 42
Step-by-step explanation:
2^5 + 10
2*2*2*2*2 + 10
32 + 10
42
GIVING OUT BRAINLIEST HELP MEE PLEASE!! 10 PNTS ASWELL!!
Answer:
option 2
Step-by-step explanation:
4)
Equation of a Circle with centre ( a , b) and radius r
[tex](x - a)^2 + (y-b)^2 = r^2\\[/tex]
Given centre = ( -3 , 4), r = 5
Therefore Equation
[tex](x - ( - 3))^2 + (y-4)^2 = 5^2\\\\(x + 3)^2 + (y-4)^2 = 25[/tex]
5)
Centre = ( 2 , 0) , radius, r = 3
[tex](x - 2)^2 + (y-0)^2 = 3^2\\\\(x -2)^2 + y^2 = 9[/tex]