A small engine shop receives an average of repair calls per hour, with a standard deviation of . What is the mean and standard deviation of the number of calls it receives for -hour day? What, if anything, did you assume?
Answer:
Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.
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-instances of a normal variable:
For n-instances of normal variable, the mean of the distribution is: [tex]m = n\mu[/tex], and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex]
What is the mean and standard deviation of the number of calls it receives for n-hour day?
Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.
Solve for X.
12x − 39 ≤ 9 AND −4x + 3 < −6
Choose 1 answer:
A. x ≥ 4
B. 9/4 < x < 4
C. x > -9/4
D. There are no solutions.
E. All values of X are solutions.
Answer: D.There is no answer.
Step-by-step explanation:
Please help someone! Very important!
Answer:
OH NO
Step-by-step explanation:
Step-by-step explanation:
oh srr, I'm Vietnamese and I don't know your
country's solution
but i think my answer is correct :((
Find the slope thanks
Help?!??? What is the distance!
Trig. Ch.7.1
9514 1404 393
Answer:
100 m
Step-by-step explanation:
One side between two angles is given, so we need to find the third angle. The sum of angles in a triangle is 180°, so the third angle is ...
A = 180° -110°20' -13°20' = 56°20'
The law of sines can be used to find the length of side AB:
AB/sin(C) = BC/sin(A)
AB = BC·sin(C)/sin(A) . . . . multiply by sin(C)
AB = (360 m)sin(13°20')/sin(56°20') ≈ 99.75253 m
The distance AB across the river is about 100 m.
What is the measure of angle y in the figure?
Answer:
y = 27
Step-by-step explanation:
The sum of the two angles is a right angle, which is 90 degrees
y+63 = 90
y = 90-63
y =27
Answer:
The measures of angle y is 30 °.
Step-by-step explanation:
We know that, the sum of two side of right angle is 90 °.
60 ° + y = 90 °
subtract 60 ° from each side
y = 90 ° - 60
y = 30 °
Therefore, the measures of angle y is 30°.
six subtracted from one-half a number is 12.
Answer:
Number is 36
Step-by-step explanation:
Let the number be x
one half of the number is [tex]\frac{1}{2} x[/tex]
6 subtracted from one half is 12, That is,
[tex]\frac{1}{2} x - 6 = 12\\\\\frac{1}{2}x = 12 +6 \\\\x = 18 \times 2 = 36[/tex]
HELP THIS IS FOR MY FINAL GRADE
Ida's ice-cream stand has increasing profits each week during the hot summer months. Ida finds that each week during the summer her profits increase by 15% over what they were the previous week. In her first week of business, her profits were $600. How much money will she make in all over 5 weeks?
Answer:
Ida makes $ 6960 in 5 weeks.
Step-by-step explanation:
Let the profit of the first week is p.
p = $ 600
Total profits of the five weeks
= p + (p + 0.15p) + (p + p +0.15 p) + (p + p + p + 0.15 p) + (p + p + p + p + 0.15 p)
= 11 p + 0.6 p
= 11 x 600 + 0.6 x 600
= 6600 + 360
= $ 6960
So, Ida makes $ 6960 in 5 weeks.
please answer thank you
Answer:
1536 m²
Step-by-step explanation:
To find the area of the lateral faces, calculate the height of a lateral face first.
The height of a lateral face = S
The blue triangle is right-angled, so we can use Pythagoras Theorem to find S.
[tex] \sqrt{ {h}^{2} + {0.5b}^{2} } [/tex]
[tex] = \sqrt{ {16}^{2} + {12}^{2} } [/tex]
[tex] = \sqrt{400} [/tex]
= 20 m
Total surface area of a pyramid
= total surface area of lateral faces + base area
Area of 1 lateral face
= (base × height) ÷ 2
= (24×20)÷2
= 240 m²
Total surface area of the pyramid
= 240×4 + 24×24
= 1536 m²
Can y’all help me on question 20?!
Answer:
yes I can help you but ???
Answer the questions about the following polynomial.
-10x +1
Answer:
Step-by-step explanation:
Given polynomial is (-10x + 1).
This polynomial has two terms.
Therefore, it's a binomial with two separate terms.
The expression represents a binomial polynomial with two terms. The constant term is 1, the leading term is -10x, and the leading coefficient is (-10).
Profit = Revenue - Cost: P = R - C
(a) Solve for R.
(b) Find R when P = $4525 and C = $1475.
Answer:
(a) R = P +C
Revenue= Profit + Cost
(b) R = $6000
Step-by-step explanation:
(b) R = $4525 + $1475
= $6000
Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?
Answer:
What is 1/3 of 814
Step-by-step explanation:
What is 1/3 of 814
Answer: I think C
Step-by-step explanation:
A pair of dice was rolled many times and the results appear below. Based upon these results, what is the experimental probability of rolling a multiple of 3?
Outcome
2 3 4 5 6 7 8 9 10 11 12
Frequency
3 6 8 11 14 16 15 12 9 5 1 The percent probability is = [ ? ]%
Round to the nearest percent.
Answer:
The exponential probability should be 33%.
Step-by-step explanation:
[tex]4 \div 12 = .33 \\ [/tex]
[tex].33 \times 100 = 33\%[/tex]
The experimental probability of rolling a multiple of 3 will be 33%.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
A pair of dice was rolled many times and the results appear below. Based upon these results.
Outcome 2 3 4 5 6 7 8 9 10 11 12
Frequency 3 6 8 11 14 16 15 12 9 5 1
Then the experimental probability of rolling a multiple of 3 will be
Favorable events = 6 + 14 + 12 + 1 = 33
Total events = 100
Then the probability will be
P = (33 / 100) x 100
P = 0.33 x 100
P = 33%
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
a train moving at the rate of 50 km per hour in struck by a stone moving with a velocity of 40 km above are making an angle of 60 degree with the direction of the train find the velocity with which the stone appears to an observed in the train to strike
the train
Answer:
Step-by-step explanation:
the pidgeon is flying east
f(-5)=
Pls help i will mark the brainliest!
Answer:
f(-5)=7
Step-by-step explanation:
Because y=f(x) so f(-5) means x=-5.
Now you look at the graph, we can see at x=-5 , y=7. So f(-5)=7
Answer:
7
Step-by-step explanation:
Go to - 5 along the x axis.
When you hit the blue, go straight across until you hit the number on the y axis.
That number is 7
a water main is to be constructed with a 10% grade in the north direction and a 20% grade in the east direction. determine the angle theta required in the water main for the turn from north to east
Answer:
26.6degrees
Step-by-step explanation:
Given
percent grade through north = 10% (opposite)
percent grade through east = 20% (adjacent)
Get the direction
Using the SOH CAH TOA identity
tan theta = opp/adj
tan theta = 10/20
tan theta = 0.5
theta = arctan (0.5)
theta = 26.6degrees
Hence the required angle is 26.6degrees
Noah assigns a number to each of the 150 athletes at his school and puts the numbers in a box. He randomly chooses 30 numbers and finds that 18 of the
athletes watched television last night. Use this sample to make an inference about how many athletes watched television last night.
Answer:
90
Step-by-step explanation:
18 out of 30 watched tv
150/30 = 5
18/30 = (18 * 5)/(30 * 5) = 90/150
Answer: 90
O resultado da adição algébrica (-5) + (-2 +3
Answer:
= -4
Step-by-step explanation:
(-5) + (-2 + 3) =
(-5) + (1) =
= -4
Hope this helps
Nevaeh is going to drive from her house to City A without stopping. Let DD represent Nevaeh's distance from City A tt hours after leaving her house. The table below has select values showing the linear relationship between tt and D.D. Determine the distance from Nevaeh's house to City A, in miles.
t d
1 195
2 130
2.5 97.5
Answer:
Step-by-step explanation:
Answer:
260
Step-by-step explanation:
what is 12 take away 1 3/5
10 3/5
thank your guy for the pool work
If the triangles are similar which are true
Answer:
b
Step-by-step explanation:
Select all that apply.
A spinner is divided into 4 equal sections. Which of the following are true?
The experimental probability is for each section.
If the spinner is spun 64 times, you would predict it to land on each section 16 times.
The spinner will land on each section of the spinner an equal number of times.
The theoretical probability is 25% for each section.
Multiple choice!!!
Answer:
(B) If the spinner is spun 64 times, you would predict it to land on each section 16 times.
&
(D) The theoretical probability is 25% for each section.
I got this question right
There are 90 girls in fourth form 25 of whom study biology what percentage of fourth form girl study biology?
name an outcome that has a probability between 0.5 and 1
Answer:
a coin flip
Step-by-step explanation:
The probability of an event is a number describing the chance that the event will happen. An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero.
in rectangle ABCD above,
1. How many opposite sides are equal?
2. Name the parallel opposite sides.
3. Name the opposite angles that are equal.
4. How many right angles can you identify?
5. Identify the equal opposite sides.
6. How many triangles can you identify?
7. Line AB and CD are adjacent to each other.
true or false?
8. the dotted lines AC andBD are called what?
Answer and Step-by-step explanation:
1. 2 pairs (aka 4 sides) of Opposite Sides are equal
2. AB and DC are parallel, and AD and BC are parallel
3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal
4. 4 right angles
5. AB and DC are equal, and AD and BC are equal
6. 4 Triangles
7. False
8. Diagonals of a rectangle.
#teamtrees #PAW (Plant And Water)
The figure is made up of 2 rectangles and 2 right triangles. What is the area of the figure? 132 units2 156 units2 168 units2 216 units2
What is 25% of 24?
What is 15% of 60?
9 is what percent of 72
Answer:
6
9
6.48
Step-by-step explanation:
this is the easiest way to solve for percentage:
[tex]\frac{part}{whole} =\frac{part}{whole}[/tex] Where all the percents (except 100) would go in part
and the whole number would go in whole
[tex]\frac{25}{100} =\frac{?}{24}[/tex] Then multiply 24 × 25 ÷ 100 = 6
[tex]\frac{15}{100} =\frac{?}{60}[/tex] Multiply 60 by 25 then divided by 100 = 9
Then for the last one 9 is what percent of 72
all we have to do is multiply 9 and then convert 72 into a decimal (0.72)
Then 9 × 0.72 = 6.48
Answer:
6.48
Step-by-step explanation:
you have to had the left then divide the right
UB needs to need to create a team of 4 players for the competition out of 10 volunteers. How many
different teams are possible?
Answer:
604,800
Step-by-step explanation:
10*9*8*7*6*5*4
Solve (x + 5)∕3 = 4 for x.
Answer:
7
Step by step explanation:
1. multiply both sides by 3
3(x+5)/3 =4 x 3
2. Simplify
x + 5=12
3. Subtract 5 from both sides
x+5-5=12-5
4. Simplify
7
