Answer:
The probability is [tex]P(X < 3) = P(X \le 3-1 = 2 ) = 0.8074[/tex]
Step-by-step explanation:
From the question we are told that
The probability of a tornado is [tex]p = 0.11[/tex]
The sample size is [tex]n = 14[/tex]
Since the number of tornadoes in any calendar year is independent of the number of tornadoes in any other calendar year and there can be only outcome so we can evaluate probability using binomial distribution.
The probability of a tornado not occurring is mathematically evaluated
[tex]q = 1 - p[/tex]
=> [tex]q = 1 - 0.11[/tex]
=> [tex]q = 0.89[/tex]
The probability that there are fewer than 3 tornadoes in a 14-year period is mathematically represented as
[tex]P(X < 3) = P(X \le 3-1 = 2 ) = \left n } \atop {}} \right. C_2 * p ^2 q^{n- 2 } + \left n } \atop {}} \right. C_1 * p ^1 q^{n- 1 } + \left n } \atop {}} \right. C_0 * p ^r q^{n- 0 }[/tex]
[tex]P(X < 3) = P(X \le 3-1 = 2 ) = \left 14 } \atop {}} \right. C_2 * (0.11) ^2 (0.89)^{14- 2 } + \left 14 } \atop {}} \right. C_1 * (0.11) ^1 (0.89)^{14- 1 } + \left 14 } \atop {}} \right. C_0 * (0.11) ^0 (0.89)^{14- 0 }[/tex]
[tex]P(X < 3) = P(X \le 3-1 = 2 ) = 91 * 0.0121*0.247 + 14 * 0.11*0.2198 + 1 * 1 * 0.197[/tex]
[tex]P(X < 3) = P(X \le 3-1 = 2 ) = 0.8074[/tex]
-5(7+2y)+15(x+2y); x=7 and y=-7
Answer: -5(7+2(-7))+15((7)+2(-7)) = -70
im not sure
Graph the image of the given triangle after the transformation with the rule (x, y)→(y, x). Select the "Polygon" button from the tool bar to plot your triangle. You may use the "Move" button to move the triangle after it is created.
Answer:
Your coordinates would be:
(1,8) (1,5) (5,8)
Hope this helps!
Answer:
Actually its (1,8) (1,5) (6,8)
Step-by-step explanation:
The red part is incorrect, the orange is the correct one. I got it wrong.
The data show the list and selling prices for several expensive homes. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted selling price of a home having a list price of $ million. Use a significance level of 0.05.
Answer:
The best predicted selling price of a home having a list price of $22 million is $20.52 million.
Step-by-step explanation:
The missing data is:
List price (x) (millions of $)
(1) 1.6 (2) 4.2 (3) 2.1 (4) 1.6 (5) 2.3 (6) 4
Selling price (y) (millions of $)
(1) 2 (2) 4.6 (3) 1.8 (4) 1.9 (5) 2.4 (6) 3.6
Use Excel to perform the regression analysis.
The significance level is, α = 0.05.
The regression output is attached below.
The regression equation is:
[tex]\hat y=0.28+0.92x[/tex]
The value of t-statistic is:
t = 0.676.
The p-value is:
p-value = 0.536
Compute the predicted selling price of a home having a list price of $22 million as follows:
[tex]\hat y=0.28+0.92x[/tex]
[tex]=0.28+0.92\times 22\\\\=0.28+20.24\\\\=20.52\ \text{million}[/tex]
Thus, the best predicted selling price of a home having a list price of $22 million is $20.52 million.
If a and b are two digits, then the following fraction
(ab0+ab0ab)÷(ab) -1 is equal to.
A.21 B. 1010
C. 110
D. 111
E. 1110
Answer:
B. 1010
Step-by-step explanation:
Simplify:
(ab0+ab0ab) ÷ (ab) - 1Note that:
ab = 10a +bab0 = 10* (10a + b) = 10abab0ab = 1000ab + ab = 1001 abTherefore:
(ab0+ab0ab) ÷ (ab) - 1 =(10ab + 1001ab) ÷ (ab) - 1 =(1011ab) ÷ (ab) - 1 = 1011 - 1= 1010Correct choice is B.1010
Write each statement as a decimal to two decimal places.
$6.00 to 95 cents =
3 hours to 35 minutes =
42 inches to 2 feet =
(Hint: there are 12 inches in 1 foot.)
Answer:
Step-by-step explanation:
To convert the statement to decimals, we need to use the following conversion rate.
Since $1 = 100cents
Writing $6.00 to 95 cents as a decimal, we need to writw both units in the same units.
$6.00 to 95 cents = 600cents to 95 cents
= 600cents:95cents
= 600cents/95cents
= 6.32 (to 2dp)
For 3 hours to 35 minutes
SI=ince 1 hour = 60minutes
3 hours to 35 minutes = (3*60)minutes to 35 minutes
= 180minutes : 35 minutes
= 180minutes/35 minutes
= 5.14 (to 2dp)
For 42 inches to 2 feet
Given 12inches = 1 foot
42 inches to 2 feet = 42inches to (2*12)inches
= 42inches to (24)inches
= 42inches : 24 inches
= 42inches/24 inches
= 1.75 (to 2dp)
Think of a problem dealing with two possibly related variables (Y and X) that you may be interested in. Share your problem and discuss why a regression analysis could be appropriate for this problem. Specifically, what statistical questions are you asking? Why would you want to predict the value of Y? What if you wanted to predict a value of Y that’s beyond the highest value of X (for example if X is time and you want to forecast Y in the future)?
Answer:
Explained below.
Step-by-step explanation:
Consider the variables height and weight.
It is usually seen that taller people are heavier than shorter people.
So a regression analysis can be used to specify this belief.
The statistical questions that are being asked here are:
What the independent and dependent variables?Are there any other factor influencing the dependent variable other than the independent variable?The variable Y is considered as the dependent variable and the variable Y is considered as the independent variable. And the main purpose of the regression analysis is to predict the value of Y when the value of X is given.
The linear regression model can be used to predict the past and future value of the dependent variables provided that the independent variables for those times are provided.
Suppose an operator handles 10 calls. What is the probability that none of the 10 calls result in a reservation?
Question:
Approximately 30% of the calls to an airline reservation phone line result in a reservation being made. Suppose that an operator handles 10 calls. What is the probability that none of the 10 calls result in a reservation?
Answer:
[tex]Probability = 0.028[/tex]
Step-by-step explanation:
Given
Represent probability of reservation with p and Number of calls with n
[tex]n= 10[/tex]
[tex]p = 30\%[/tex]
First, we need to convert p to decimal
[tex]p = \frac{30}{100}[/tex]
[tex]p = 0.30[/tex]
In probability; opposite probability add up to 1;
In other words,
[tex]p + q = 1[/tex]
Where q represents probability of no reservation
Substitute 0.30 for p
[tex]0.30 + q = 1[/tex]
[tex]q = 1 - 0.30[/tex]
[tex]q = 0.70[/tex]
The probability that out of the 10 calls, no reservation is made is calculated as;
[tex]Probability = q^n[/tex]
[tex]Probability = 0.70^{10}[/tex]
[tex]Probability = 0.0282475249[/tex]
[tex]Probability = 0.028[/tex] (Approximated)
If LN=3+8x, find LN
L•——–8•——M——6x-1——–•N
Answer:
Value of LN = 19 units
Step-by-step explanation:
Given:
LN = 3 + 8x
Find:
Value of LN
Computation:
We know that LM + MN = LN
So,
8 + 6x - 1 = LN
So,
3 + 8x = 8 + 6x - 1
3 + 8x = 7 + 6x
8x - 6x = 7 - 3
2x = 4
x = 2
So,
LN = 3 + 8x
LN = 3 + 8(2)
LN = 3 + 16
LN = 19
Value of LN = 19 units
Solve the following proportion for x.
X/11 = 7/17
Round your answer to the nearest tenth.
X = ??
Answer:
77/17 = 4.52941Nearest tenth = 4.5Step-by-step explanation:
[tex]\frac{x}{11}=\frac{7}{17}\\\\\mathrm{Multiply\:both\:sides\:by\:}11\\\\\frac{11x}{11}=\frac{7\cdot \:11}{17}\\\\\mathrm{Simplify\:}\frac{11x}{11}:\quad x\\\\\mathrm{Simplify\:}\frac{7\cdot \:11}{17}:\quad \frac{77}{17}\\\\x=\frac{77}{17}[/tex]
Select the correct answer.
Terrell is moving boxes in a freight elevator. Each box weighs about 25 pounds. For safety reasons, a maximum of 600 pounds can be on
the elevator at one time, including Terrell and his equipment at a total of 225 pounds.
Which graph represents the number of boxes Terrell can load into the freight elevator at one time?
Answer:
The third one
Step-by-step explanation:
600-225 (the weight of Terrell and his equipment)
=375
375/25(weight of each box)
=15
the circle is close because it can be exactly 15 or or less.
Answer:
actually is 2
Step-by-step explanation:
its not 1 or 3, its 2 I did clicked 3 got it wrong then I clicked one and got it wrong, its 2
Estimate the value of each each expression to the nearest integer
Answer:
Step-by-step explanation:
14. 2
15. 3
16. -5
17. -11
Plewse help me idk how to do it (20 points)!!
The explicit formula for a straight line is written as y = Mx + b, where m is the slope and b is the y intercept.
The y intercept is the y value of where the line crosses the x axis. On the above picture the line crosses the x axis at -2, so the y intercept is -2
Use 2 points in the line for the slope:
Slope = change in y over the change in x:
(0,-2) (6,0)
Slope = (0- -2) / (6-0) = 2/6 = 1/3
Answer: y = 1/3x-2
If x/5+6 =-14, then x=
Answer:
(5+6)14 = x
11×14 = x
154 =x
Answer:
x = -100
Step-by-step explanation:
x/5+6 =-14
Subtract 6 from each side
x/5+6 -6 = -14-6
x/5 = -20
Multiply each side by 5
x/5*5 = -20*5
x = -100
Under what circumstances can a very small treatment effect be statistically significant? Explain your response.
a) if the sample size big and the sample variance is small
b) if the sample size and the sample variance are both big
c) if the sample size is small and the sample variance is big
d) if the sample size and the sample variance are both small
Answer:
The correct answer is:
if the sample size big and the sample variance is small (a)
Step-by-step explanation:
The sample size of a study is the group of subjects that are selected from the general population and is considered an accurate representation of the population. With a large sample size, the likelihood of type I and type II errors occurring reduces. Increasing sample size allows the researcher to increase the significance level of the finding because it increases accuracy in coverage of the universal set, hence the effect accurately mirrors what goes on in the whole group. However, smaller sample size, on the other hand, does not accurately mirror the whole larger group.
The sample variance is the difference between the observed value and the true(actual). It is a measure of deviation or variability between the results and the true value. A smaller variance means increase closeness to the true value hence increase in accuracy and statistical significance.
Therefore, when the treatment effect is small but the sample size is large and variance is small, then the result is statistically significant.
(7-10x)/5 simplify express on integers and fractions
Answer:
-2x + 7/5
Step-by-step explanation:
(7-10x)/5
= [tex]\frac{-10x}{5}[/tex] + [tex]\frac{7}{5}[/tex]
= -2x + 7/5
The net of a square pyramid is shown
below. What is the surface area of the
pyramid?
A 100 cm2
B 136 cm2
C 172 cm2
D 192 cm2
Answer:
Option (D)
Step-by-step explanation:
Surface area of a square pyramid is determined from the formula,
Surface area = Area of the square base + 4(Area of one lateral triangular side)
Area of the base = (Side)²
= 8²
= 64 cm²
Area of one lateral triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(8)(8)[/tex]
= 32 cm²
Therefore, surface area of the square pyramid = 64 + 4(32)
= 64 + 128
= 192 cm²
Therefore, Option (D) will be the correct option.
johnny makes $8.25 an hour working at the local restaurant his paycheck shows that he works 29.5 hours for the past week how much did Johnny make not rounded to the nearest cent A: $232.125 B: $243.375 C: $247.525 D: $248.625 NEED ANSWERS ASAP
Answer:
$243.375
Step-by-step explanation:
multiply 8.25 by 29.5
Number #7 please I need help on it
What is the best estimate of the number corresponding to A?
A
1
2
3
4
0 2.6
0 2.4
0 2.2
2.3
Answer:
2.6
Step-by-step explanation:
Let us assume that the unit of measurement is centimetre (cm)
To obtain the value of A, do the following:
From the diagram above, we can say that the scale is 5 cm to 1 unit since there are 5 lines before a number.
Next, we shall determine the value of 1 cm.
5 cm = 1 unit
Therefore,
1 cm = 1/5 = 0.2 unit
This means that 1 small line is equivalent to 0.2 unit.
Now we shall determine A as follow:
A is exactly 3 lines (3 cm) after number 2.
1 cm = 0.2 unit
3 cm = 3 x 0.2 = 0.6 unit
Now, add 0.6 to 2 to obtain the value of A.
A = 2 + 0.6
A = 2.6
Therefore, A correspond to 2.6
What is the best estimate for 1/5x24.5?
Answer:
5.
Step-by-step explanation:
24.5 is close to 25 and 25 * 1/5 = 5.
Which of the following sets are equal to {x | x < 9 and x >2}
Question 2 options:
{3, 4, 5, 6, 7, 8}
{2, 3, 4, 5, 6, 7, 8, 9}
{8, 7, 6, 5, 3}
{ }
{2, 3, 4, 5, 6, 7}
Answer:
{3, 4, 5, 6, 7, 8} and {8, 7, 6, 5, 3}
Step-by-step explanation:
The sets {3, 4, 5, 6, 7, 8} and {3, 4, 5, 6, 7, 8} will be constraint through {x | x < 9 and x >2} so option (A) and (C) will be correct.
What is an set?A set is a combination of specific quantities in which the meaning of each variable must be the same.
For example {1,2,3,4,5,6...} is a set of natural numbers in which each variable is representing a natural number so the overall meaning is the same among all.
Another example could be a set of the whole number like that.
Given the constraint
{x | x < 9 and x >2}
It means x should be greater than 2 and less than 9
So all possible values are
3,4,5,6,7,8
Now set associated with these number is {3, 4, 5, 6, 7, 8} and {8, 7, 6, 5, 3}.
Hence "The sets {3, 4, 5, 6, 7, 8} and {3, 4, 5, 6, 7, 8} will be constraint through {x | x < 9 and x >2}".
To learn more about the sets,
https://brainly.com/question/8053622
#SPJ2
QUIZ 2: Learning about
The symbols used to enclose the elements of a set are called:
parenthesis
braces
commas.
Write the answer in standard form: (−5x^4 + 6x^3 − 43) + (6x^5 − x^2 + 12x + 12) Please Show work
Answer:
The answer in standard form to the given expression is 6x⁵ - 5x⁴ + 6x³ - x² + 12x - 31
Step-by-step explanation:
(-5x⁴ + 6x³ - 43) + (6x⁵ - x² + 12x + 12)
Combine like terms. When the problem says to put the equation in standard form, it means that the terms will go in order from greatest to least exponential number.
6x⁵ - 5x⁴ + 6x³ - x² + 12x - 31
Peter mixes 4 1/3 cups of orange juice, 2 1/3 cups of ginger ale, and 6 1/2 cups of strawberry lemonade to make some punch. What is
the total number of cups of punch that Peter makes?
Answer:
13 1/6 cups.
Step-by-step explanation:
4 1/3 + 2 1/3 + 6 1/2
= 4 + 2 + 6 + 1/3 + 1/3 + 1/2
= 12 + 2/6 + 2/6 + 3/6
= 12 + 7/6
= 12 + 1 1/6
= 13 1/6.
Answer:
13 1/6
Step-by-step explanation:
Determine the total annual FICA tax for an annual salary of $38,480 A $294.37 B $717.96 C $2,385.76 D $2,943.72
Answer:
D
Step-by-step explanation:
The total annual FICA tax for an annual salary of $38,480 is D $2,943.72.
FICA tax comprise of Social security tax + Medicare tax
Where:
Social security tax=6.2%Medicare tax=1.45%FICA tax =7.65%Hence:
FICA tax=($38,480×6.2%)+($38,480×1.45%)
FICA tax=$2,385.76+$557.96
FICA tax= $2,943.72
Inconclusion the total annual FICA tax for an annual salary of $38,480 is D $2,943.72.
Learn more about FICA tax here:https://brainly.com/question/1154643
Imagine you have five nieces and nephews and their ages are 4, 10, 8, 9, and 15. The average age of your nieces and nephews is _______, while their median age is
What is the equation of the linear function represented by the table?
(–5 ,14), (–2, 11) (1, 8) (4, 5)
1 . y = negative x + 9
2. y = negative x + 13
3. y = x + 13
4. y = x + 9
Answer:
1. y= -x+9
Step-by-step explanation:
plug the coordinates inside each of the equation
14 = -(-5)+9 --> 14 = 14
11 = -(-2)+9 --> 11=11
8 = -(1)+9 --> 8=8
5 = -(4)+9 --> 5=5
Answer:
Answer:
1. y= -x+9
Step-by-step explanation:
plug the coordinates inside each of the equation
14 = -(-5)+9 --> 14 = 14
11 = -(-2)+9 --> 11=11
8 = -(1)+9 --> 8=8
5 = -(4)+9 --> 5=5
Step-by-step explanation:
V2y + 3 = 11
3. What is the value of y in this equation?
O A. y = 32
OB. y = 64
O C. y = 14
OD. y = 16
Answer:
v2y +3=11
V2y=11- 3
V2y=8
2y=8²
2y=64
y=64÷2
y=32 Answer
Translate (in terms of x) then solve the algebraic equation. When the sum of a number and 2 is subtracted from 13 the result is 8
Below are some data examining whether reading the textbook for this course is related to class enjoyment.
Time Reading Textbook 1 2 3 4 5 6 1 2 3 5
Class Enjoyment 20 24 35 46 67 80 12 34 34 78
Note: Text Reading Time: 1 = does not read – 6 = only book I have ever read. Class Enjoyment: 1-100 scale.
Calculate the slope
a) 14.50
b) 13.36
c) 19.00
d) 12.43
Answer:
13.36
Step-by-step explanation:
I will first create a table
X. Y. XY. X²
1. 20. 20. 1
2. 24. 48. 4
3. 35. 105. 9
4. 46. 184. 16
5. 67. 335. 25
6. 80. 480. 36
1. 12. 12. 1
2. 34. 68. 4
3. 34. 102. 9
5. 78. 430. 25
ΣX = 32
ΣY = 430
ΣXY = 1744
ΣX² = 130
n = 10
The formula for regression line is given as :
Y = a + bX
a = intercept
b = slope
The question requires us to find b which is the slope.
b = nΣXY-ΣXΣY/nΣX²-(ΣX)²
= 10x1744-32x430/10x130-(32)²
= 17440-13760/1300-1024
= 3680/276
= 13.36
b = 13.36