If seven stations are in use, the expected number of stations that will detect an enemy plane is 4.55.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-,
(b) If seven stations are in use, what is the expected number of stations that will detect an enemy plane?The expected number of sucesses of a binomial variable is given by:If seven stations are in use, the expected number of stations that will detect an enemy plane is 4.55.learn more about probability click here:
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Find x 96+2x+(x+12).
Answer:
bro u find it
Step-by-step explanation:
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help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The equation of the parabola is f(x) = 7(x-3)^2+5.
Given:
The equation of the parabola that has the same shape has f(x) = 7x^2 but with vertex(3,5) in the form of f(x) = a(x-h)^2 + k.
If the parabola has same shape then its a values are same.
so f(x) = 7x^2
here a = 7
so the equation with vertex (3,5) also has a value is 7.
(h,k) = (3,5)
f(x) = a(x-h)^2+k
= 7(x-3)^2 + 5.
Therefore the equation of the parabola is f(x) = 7(x-3)^2+5.
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question 6 what if we use a p-value cutoff of 10%? do we reject, fail to reject, or are we unable to tell using our confidence interval? assign cutoff ten percent to the number corresponding to the correct answer. reject the null / data is consistent with the alternative hypothesis fail to reject the null / data is consistent with the null hypothesis unable to tell using our staff confidence interval
0.10 > 0.05 is value of p - value of the data .
What does P stand for?
The likelihood, for a particular statistical model, that the statistical summary would be equal to or more extreme than the actual observed findings when the null hypothesis is true is known as the P value.The p-value is the likelihood that, assuming the null hypothesis is true, a result will be at least as dramatic as the one that was actually seen in the biological, clinical, or epidemiological investigation.If we use 10% p - value cutoff = 0.10
then as 0.10 > 0.05
reject the null / data is consistent with the alternative hypothesis .
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Find the measurement of V.
Answer:
60°
Step-by-step explanation:
As we can conclude from the equal measured side lengths, this is an equilateral triangle so all angles have equal measurement.
Since the sum of interior angles in a triangle is equal to 180 to find the measure of angle V we need to divide 180 by 3:
180 ÷ 3 = 60
Complete the equation so that it has no solution.
9(x – 4) – 5x =__x-30
For the given equation 9(x-4) -5x = __x -30 has no solution when it is written as 9(x - 4) -5x = 4x -30.
As given in the question,
Given equation is equal to :
9 ( x - 4) - 5x = _ x - 30
Simplify Left hand side of the given equation we get,
9 ( x - 4) -5x
= 9x - 36 - 5x
Collect the like terms we have,
9x - 5x - 36
= 4x - 36
Now compare left hand side and right hand side to get no solution of the equation,
4x -36 = _x -30
Blank should be filled by 4
Therefore, for the given equation 9(x-4) -5x = __x -30 has no solution when it is written as 9(x - 4) -5x = 4x -30.
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A research association reported that 3,173,000 gas grills were shipped by various manufacturers in the U.S. in 2000.Shipment increased by 7% per year from 2000-2016.Write a function that models the number of gas grills shipped over time.
If shipments increased by 7% (which is the same as 0.07) per year, then the shipment in a year can be found by multiplying the shipments in the previous year by 1.07.
Therefore, if [tex]x[/tex] represents the number of years since 2000 and [tex]f(x)[/tex] represents the number of shipments, then [tex]f(x)=3173000(1.07)^x[/tex].
Antonio has read at most 8 more books than Benji. If Benji has read 38 books, at most how many books has
Antonio read?
the augusta national golf club in augusta, georgia is an 18-hole course that consists of par-3 holes, par-4 holes, and par-5 holes. a golfer who shoots par has a total of 72 strokes for the entire course. there are two more par-4 holes than twice the number of par-5 holes, and the number of par-3 holes is equal to the number of par-5 holes. find the numbers of par-3, par-4, and par-5 holes on the course.
No. of par-3 holes be represented by = 5
No. of par-4 holes be represented by = 8
No. of par-5 holes are represented by = 5
Total number of courses in the club= 18 (given in the question)
Total shot taken by golfer=72 (given in the question)
Let par-3 holes be represented by t
Let par-4 holes be represented by f
Let par-5 holes be represented by v
forming equations:
f+2=2v
t=v
f + v + t = 18
f+2=2v
f=2v-2 -(i)
t=v -(ii)
f + t + v=18
putting values from (i) and (ii)
(2v-2) + v + v=18
2v-2+2v=18
4v=18+2
4v=20
v=20/4
v=5
Number of par-5 holes=5
from (i)
f=2v-2
putting value
f=2(5)-2
f=10-2
f=8
Number of par-4 holes=8
from (i)
t=v-
putting value
t=5
t=5
Number of par-3 holes=5
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change 4-1/2 to a improper fraction
Answer: 9/2
Step-by-step explanation: Hope this helps.
Write and equation in slope intercept form for the line that passes through the given point and is parallel to the graph of the equation
(4, -3); x = -5
The equation in slope intercept form is x =4 .
Given:
x = -5
x + 5 = 0
here slope m = ∞.
line equation passes through (4,-3) with m = ∞
-3 = 1/0(4) + c
4 + c = 0
c = -4.
y = (1/0)x - 4
x - 4 = 0
x = 4.
Therefore the equation in slope intercept form is x =4 .
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HELPPPPPPPPPPPpp
Robert pays for his family to go to the arcade. He pays an entrance fee for his group and an additional amount per game that his family plays as shown in the graph. Use the graph to answer.
Find the slope and interpret its meaning.
Answer:
3/4,. it's means for every 4 games there's a $3 fee
Step-by-step explanation:
3/4
it's means for every 4 games there's a $3 fee
William leaves work at 16:00. He drives 36 kilometres from work to home at an average speed of 48 km/h. What time does William arrive home?
answer using the 24 hour clock.
William will arrive home at 16:45, it will take 45 min to reach home.
Given, that William leaves work at 16:00
Distance from work to home is 36 kilometres
Also, he drives at an average speed of 48 km/hr
Now, using distance-speed relation to find the time
So, as we know Distance = Speed × Time
On putting the values of distance and speed, we get
36 km = 48 km/hr × Time
On dividing both the sides by 48, we get
36/48 = (48×Time)/48
36/48 = Time
Time = 0.75
Hence, he will take 0.75 hr to reach home.
0.75 hr ≈ 45 minutes
As, 1 hr = 60 minutes
0.75 hr = 0.75 × 60 = 45 minutes
So, William will arrive home at 16:45
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the owner of a new pizzeria in town wants to study the relationship between weekly revenue and advertising expenditures. all measures are recorded in thousands of dollars. the summary output for the regression model is given below. anova df ss ms f significance f regression 6 19.4512364 3.24187273 18.10468324 1.2794e-05 residual 13 2.327814576 0.17906266 total 19 21.77905098 step 1 of 3 : what is the coefficient of determination for this model, r2? round your answer to four decimal places.
R square is the most appropriate compared to the adjusted r square value.
What is coefficient ?In mathematics, a coefficient is a multiplicative coefficient of some term in a polynomial, series, or expression. Usually numeric, but can be any expression. If the coefficients themselves are variables, they can also be called parameters.
CalculationIn this question, it is given that some of coils due to regression equal 16.75147827, likewise the samosta- is due to residual equals 5.751489304. So the total sum of squares. When we add this, both we will get 22.50296757. Likewise, it is given that the degrees of freedom for regression equals 110 degrees of freedom for residual equal 6, so the total degree of freedom is 7. So the first question is that we have to find the coefficient of determination for this data.We know that coefficient of determination, which is denoted by r square, equal s, s regression divided by the summa square for total, so this is equals 16.751 47827 divided by 22.50296757. So this is equals 0.744. 412 point. So we got the coefficient of determination that is r square. Next, we have to find the jester square. We know that jested r square equals 1 minus s s residual, divided by degrees of freedom, for residual, divided by s; s total divided by the degrees of freedom. For total, so this is equals 1 minus 5.751489304 divided by 6, divided by 22.50296757, divided by 7 point. So this is equals. 0.70. 1. 81. 4 point, so we got the adjusted r square value for this data. Also. The third question is that from these 2, which statistics is most appropriate for the pisareane order to determine the usefulness of the regression model and y, so we can say that r square is most appropriate, since the model has only 1 independent variable. So among the adjusted r square and r square, we can say that r square is the most appropriate compared to the adjusted r square valuelearn more about coefficient here :
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Monty spends 2.5 hours playing basketball each
day. What is the total amount of time (in hours)
hat Monty spent playing basketball after 7
days?
Answer:
Your answer is 17.5 hours
Step-by-step explanation:
Simply multiply 2.5 and 7 to get your answer.
You have to multiply the number of hours by the number of days to get the correct product or answer.
-
Find the equation of a line parallel to x - 4y = 36 that passes through the point
(-4,-5).
The equation of a line parallel to x - 4y = 36 is x - 4y = 16.
If the two lines are parallel then their slope must be equal. Two parallels lines have different intercepts but same slope. The slope intercept form of a line is y = mx + c. Where m is the slope and c is the intercept.
Now, writing the given equation in slope-intercept form,
x - 4y = 36
4y = x - 36
[tex]y=\frac{1}{4}x-9[/tex]
By comparing it with slope-intercept form, we get
[tex]m=\frac{1}{4}[/tex]
c = -9
Now, Finding the equation of line passing through (-4,-5) with slope as [tex]\frac{1}{4}[/tex],
[tex]m=\frac{y-y_1}{x-x_1} \\\\\frac{1}{4}=\frac{y-(-5)}{x-(-4)}\\\\ \frac{1}{4}=\frac{y+5}{x+4}\\x+4=4y+20\\x-4y=16[/tex]
The equation of parallel line is x - 4y = 16.
Hence, the equation of a line parallel to x - 4y = 36 is x - 4y = 16.
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What is the quotient (x2 − 9x + 20) ÷ (x − 4)? (1 point) x − 5 x − 4 x + 4 x + 5
Answer:
The guy under me is correct
Step-by-step explanation:
Answer:
x - 5
Step-by-step explanation:
Factor the expressions that are not already factored
(x^2 - 9x + 20) / (x - 4)
Cancel out x - 4 in both numerator and denominator
[tex]\frac{(x-5)(x-4)}{x-4}[/tex]
x - 5
0.1 times n equal's89.5
In Exercises 1-4, graph the equation. Ider
1. y - 2 = 2(x - 2)
50 POINTS
Your parents have heard about your business and would like to invest in it to help you earn as much money this summer as possible. They decide to give you $100 towards your business. However, there's a catch. They want 10% of the money you make.
1. if you mowed 10 lawns while charging $15 a lawn, how much would you have to pay your parents?
2. if you needed to make $300 to buy a switch, how many lawns would you have to mow?(Hint: don't forget about how much you would have to pay your parents.)
3. With all cost taken into account, your start up money, the money your parents gave you and what you paid your parents, how much profit did you make after 20 lawns?
The profit made from the business that receives an initial $100 investment are as follows;
1. The amount received from the investment is $15
2. The number of lawns that should be mowed to buy the switch is 23 lawns
3. The profit made from the business considering the cost and the initial investment of the parents is $170
What is an investment?An investment is the money directed towards an asset purchase to increase the valuation of the business and products within a time period.
The amount invested = $100
The amount desired as return = 10% of the amount made from the business
1. The amount charged per lawn = $15
The number of lawn mowed = 10
The revenue of the business = 10 × $15 = $150
The amount paid as return on investment = 10% × $150 = $15
2. The amount required to buy the switch = $300
The number of lawns to be mowed, n, is therefore;
300 = 15 × n - 10% × 15 × n = 15·n - 1.5·n = 13.5·n
300 = 13.5·n
n = 300/13.5 ≈ 23 ( rounding up to the nearest whole number)
The number of lawns to be mowed is 23 lawns
3. The revenue from mowing 20 lawns is 20 × $15 = $300
The amount received by the investing parents = 10% × $300 = $30
The amount received from the parents investment = $100
The profit made after 20 lawns = $300 - $30 - $100 = $170
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1/2 years = how many months??
Answer:
6 months.
Step-by-step explanation:
what is the difference between independent samples and related samples when dealing with two samples
The difference between an independent sample and a dependent sample is that the dependent sample for one set of items is paired measurement while measurements made on two samples are termed an independent sample.
In statistics, while considering two samples and conducting a hypothesis test, one should be aware of which type of test should be conducted based on samples whether they are dependent or independent. If the value of another sample is affected by any one sample then the samples are dependent. If no information can be deduced from the other sample using one sample then the samples are independent.
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in a order pair (4,9) witch is the y-coordinate?
In order pair (4,9), 9 is the y- coordinate while 4 is the x-coordinate.
The coordinates are the pair of numbers that describe the position of some point in a plane using the horizontal x-axis and the vertical y-axis as the point of reference. The representation of this coordinate is usually done by (x,y) where x represents the point's reference with respect to the x-axis and y represents the point's reference with respect to the y-axis. There are four quadrants in the graph which are named quadrant 1, quadrant 2, quadrant 3, and quadrant 4. In quadrant 1 both the x and y-axis is positive, in quadrant 2 x-axis is negative and the y-axis is positive, in quadrant 3 both the x and y-axis are negative, and in quadrant 4 x-axis is positive while the y-axis is negative.
I hope this answer helps
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Answer:
9
Step-by-step explanation:
Remember that all points have the form, [tex](x,y)[/tex].
Soo in this problem,
[tex]\begin{cases}\text{4 is the x-coordinate}\\\text{9 is the y coordinate}\end{cases}[/tex]
Thus, The y-coordinate is 9!!
a medical device company knows that 11% of patients experience injection-site reactions with the current needle. if 4 people receive injections with this type of needle, what is the probability that none of the 4 people get an injection-site reaction?
With the help of probability we can conclude our answer.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-
Given: The proportion of patients experience injection-site reactions with the current needle : p=0.11Sample size : n= 4Let x be a binomial random variable that represents the people get an injection-site reaction.Binomial probability formula: The required probability : P(x=0)learn more about probability click here:
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Peni needs $1.20 daily for bus
fares, 50 cents daily to spend at the school canteen and $1.00 per day for newspaper.
Answer:
Peni will need a total of $17.90
Step-by-step explanation:
$1.20 x 7 = $8.40
$0.50 x 5 = $2.50
$1.00 x 7 = $7.00
$8.40 + $2.50 + $7.00 = $17.90
Please provide, with your answer, the steps taken.
The value of the given expression is 9/2 when substituting the values of m = -3, n = 2, and p = -1 in the expression.
The value of the given expression is 10/3 when substituting the values of x = 3, y = 2, and z = 4 in the expression.
Given that m = -3, n = 2, and p = -1
The expression is given in the question
⇒ m(p -n)²/ 3p +m
Substitute the values of m = -3, n = 2, and p = -1 in the expression
⇒ -3(-1 -2)²/( 3(-1) +(-3))
⇒ -3(-3)²/(-3-3)
⇒ -3(9)/(-6)
⇒ 27/6
⇒ 9/2
Given that x = 3, y = 2, and z = 4
The expression is given in the question
⇒ (3z + 2x + y)/(4y - 2x + z)
Substitute the values of x = 3, y = 2, and z = 4 in the expression
⇒ (3×4 + 2×3 + 2)/(4×2 - 2×3 + 4)
⇒ (12 + 6 + 2)/(8 - 6 + 4)
⇒ 20/6
⇒ 10/3
Thus, the value of the given expression is 10/3 when substituting the values of x = 3, y = 2, and z = 4 in the expression.
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if a password is to have 4 digits, each from 0 to 9, what is the probability that there will be no repeats on the digits?
The probability that there will be no repeats on the digits is 0.504.
What is meaning of probability?
The ratio of favorable outcomes with the total number of outcomes is known as probability of that event.
The number of digits of the password is 4.
The numbers from 0 to 9 is 10.
If the digit can repeat, then we can chose first digit in 10 ways, the second digit in 10, third digit in 10 ways and fourth digit in 10 ways.
The total number of ways is 10 × 10 × 10 × 10 =10000.
If the digit can't repeat, then we can chose first digit in 10 ways, the second digit in 9 (because we can't use first digit) , third digit in 8 ways (because we can't use first digit and second digit) and fourth digit in 7 ways(because we can't use first digit, second digit, and third digit).
The total number of ways is 10 × 9 × 8 × 7 =5040.
The favorable outcomes for this event is 5040.
The total number of outcomes is 10000.
The required probability is 5040/10000 = 0.504.
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subtract 5 from 12, then multiply by 4
Answer:
Step-by-step explanation:
(12-5)x4=28
Which of the following describes the transionnation of g(x)=3(2) ^-x+2 from the parent iuciction f(x) =2^x?
O reflect across the x-axis, stretch the graph vertically by & factor of 3,shift 2 units up. O reflect across the y-axis, stretch the graph vertically by & factor of 2,shift 3 units up. O reflect across the x-axis, stretch the graph vertically by & factor of 2, shift 3 units up. O reflect across the y-axis, stretch the graph vertically by & factor of 3,shift 2 units up
The transformation of g(x) = 3(2)⁻ˣ+2 from the parent function f(x) = 2ˣ will be carried out by reflecting f(x) across the y-axis, then stretching the graph of f(x) vertically by a factor of 3 and then shifting 2 units up,
What is a transformation function?
A function that transforms one function or graph into another, typically a related function or graph, is called a transformation function.
How to convert the parent function into the transformation function?
The transformation of the parent function is shown in blue. It is a shift down (or vertical translation down) of 1 unit. A reflection on the x-axis is made on a function by multiplying the parent function by a negative. Multiplying by a negative “flips” the graph of the function over the x-axis.
Here, we have
Transformation Function - g(x) = 3(2)⁻ˣ+2
Parent Function - f(x) = 2ˣ
To convert the parent function into the transformation function, we will follow some steps:
Multiply 3 by the function f(x). Due to this the graph of f(x) shift vertically by 3 units. f(x) = 3(2ˣ )Now, replace x with -x. Due to this the graph of f(x) reflects the y-axis. f(x) = 3(2)⁻ˣAdd 2 to the function f(x). Due to this the graph of f(x) shift by two units. f(x) = 3(2)⁻ˣ+2 = g(x)Hence, the transformation of g(x) = 3(2)⁻ˣ+2 from the parent function f(x) = 2ˣ will be carried out by reflecting f(x) across the y-axis, then stretching the graph of f(x) vertically by a factor of 3 and then shifting 2 units up.
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is the drink proportinal?
The proportional of price of the drink to the number of ounces is 0.2.
In the given question we have to find the proportional of price of the drink to the number of ounces.
As given from the table that;
Drink Size (oz) 12 16 20
Price (dollars) 2.40 3.20 4.00
If we find the proportional of price of the drink to the number of ounces. Then;
Price of the drink/Number of drink = 2.40/12 = 3.20/16 = 4.00/20
Price of the drink/Number of drink = 0.2 = 0.2 = 0.2
So we can see that the proportional of price of the drink to the number of ounces is 0.2.
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Answer:
Yes it is proportional.
What is 1/2sq miles - 1/3 sq miles
Answer: 431 664.685 m2
Step-by-step explanation:
