Answer:
0.040
Step-by-step explanation:
We solve using z score
z = (x-μ)/σ,
where x is the raw score = 70 in
μ is the population mean = 63 in
σ is the population standard deviation = 4 in
z = 70 - 63 /4
z = 7/4
= 1.75
Probability value from Z-Table:
P(x<70) = 0.95994
P(x>70) = 1 - P(x<70)
= 0.040059
The probability that a random sample of 45 kangaroos has an average of height that is greater than 70 inches
is 0.040
when designing and writting questions for a survey , which of the following are issues that you need to pay attention to?
A. Wording of questions
B. Order of questions
C. Sensitive questions
D. All of the above
Answer:A
Step-by-step explanation:
You purchase 3 items for $4.23. About how much did you spend?
Answer:
12,69 hope this helps<3 can i have brainly?:)
Step-by-step explanation:
Please help! ASAP correct answer will get brainliest!!!
Answer:
It would be Congruent, ASA.
Step-by-step explanation:
You can see there is a line on the side of both triangles meaning they're the same side and a circle in the corner of both triangles, meaning they're the same angle.
Answer:
I can confirm that the answer above me is right
Step-by-step explanation:
PLEASE HELP ASAP
The manager of a park enclosed an area for small dogs to play. He made the length 15 feet longer than the width and enclosed an area covering 1350 square feet. What are the dimensions of the dogs' play area?
Answer:
Step-by-step explanation!
width = w
length = w + 15
So: w(w + 15) =1250 square feet
w^2 + 15w = 1250
Next you do: w^2+15w-1250=0
Then you use the quadratic formula to factor.
Classify each triangle by its sides.
Russell threw 2,456,785 passes last season. This season he has thrown 54,452 more passes this year. How many passes has he thrown over the last two seasons?
Answer:
well, I'm not sure about the answer but I think it's 108904.
Step-by-step explanation:
Hope you have a wonderful day. Always be positive. ❤
Twila had a yard sale at her house. She sold everything at her sale for $3.45.
On the first day Twila sold 46 items. On the second day of the sale she sold 25
items.
Answer:
244.95
Step-by-step explanation:
i hope this what you want
You are given that P(A) = 0.5 and P(A ∪ B) = 0.7. Student 1 assumes that A and B are independent and calculates P(B) based on that assumption. Student 2 assumes that A and B are mutually exclusive and calculates P(B) based on that assumption. Find the absolute difference between the tw
Answer:
The absolute difference between the two calculations is 0.2
Step-by-step explanation:
Student 1
When the events do not affect each other, they are known as independent events. That is, two events are independent if the result of the second event is not affected by the result of the first event.
When two events are independent, the probability that A and B occur is equal to the product of the probability that A occurs and the probability that B occurs. Then:
P(A∩B)= P(A)*P(B)
The probability of the opposite event is equal to 1 minus the probability of the event. So in this case you have:
P(A'∩B')= 1 - P(A∪B)
Being P(A∪B)= 0.7, then:
P(A'∩B')= 1 -0.7
P(A'∩B')= 0.3
Being P(A)= 0.5 and P(A'), so
0.3= 0.5*P(B)
[tex]P(B')=\frac{0.3}{0.5}[/tex]
P(B')=0.6
Being P(B)= 1 - P(B') so P(B)= 1 - 0.6 and you get P(B)=0.4
Student 2
Two events are mutually exclusive when both cannot occur simultaneously. In other words, two events A and B are incompatible or mutually exclusive when they have no element in common. This is: P(A∩B)= 0
Being P(A∪B) =P(A) + P(B) - P(A∩B), P(A)=0.5 and P(A∪B)= 0.7, you get:
0.7=0.5 + P(B) -0
Solving:
0.7=0.5 + P(B)
0.7 - 0.5 = P(B)
0.2 = P(B)
Finally the absolute difference between the two calculations can be calcutated as:
|0.4 - 0.2|= 0.2
The absolute difference between the two calculations is 0.2
Annie made 14 3/5 bags of popcorn for a movie night with some friends. Together they ate 4 2/5 bags of it. How much popcorn was left?
Answer:
10 1/5
Step-by-step explanation:
14 3/5 - 4 2/5 = 10 1/5.
Answer:
10 1/5
Step-by-step explanation:
3/5-2/5=1/5
14-4=10
10 1/5
HURRY!! Ned and Ted are mailmen and can deliver x and y pieces of mail per truck load
respectively. However, Ned and make M trips in a day while Ted can only make N
trips in a day. What does x + y stand for?
Answer:
Total amount of mail delivered
Step-by-step explanation:
Answer:
till all the mail. is delivered
Step-by-step explanation:
) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station
Complete Question
The probability that a single radar station will detect an enemy plane is 0.65.
(a) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station?
(b) If seven stations are in use, what is the expected number of stations that will detect an enemy plane? (Round your answer to one decimal place.)
Answer:
a
[tex]n \approx 4[/tex]
b
Step-by-step explanation:
From the question we are told that
The probability that a single radar station will detect an enemy plane is [tex]p =0.65[/tex]
Gnerally the probability that an enemy plane flying over will be detected by at least one station is mathematically represented as
[tex]P(X \ge 1 ) = 0.98[/tex]
=> [tex]P(X \ge 1 ) = 1 - P(X < 1) = 0.98[/tex]
=> [tex]P(X = 0) = 1 - 0.98[/tex] Note [tex]P(X < 1) = P(X = 0)[/tex]
=> [tex]P(X = 0) = 1 - 0.98[/tex]
=> [tex]P(X = 0) = 0.02[/tex]
Generally from binomial probability distribution function
[tex]P(X = 0) = ^nC_0 * p^{0} * (1- p)^{n- 0}[/tex]
Here C represents combination hence we will be making use of of combination functionality in our calculators
Generally any number combination 0 is 1
So
[tex]P(X = 1) = 1 * 1* (1- 0.65)^{n- 0} = 0.02[/tex]
=> [tex](1- 0.65)^{n- 1} = 0.02[/tex]
taking log of both sides
[tex]log [(0.35)^{n- 1} ] = log (0.02)[/tex]
=> [tex]{n- 1}log[0.35] = -1.699[/tex]
=> [tex]{n- 1}* -0.4559 = -1.699[/tex]
=> [tex]n= 3.7264 + 1[/tex]
=> [tex]n= 4.7264[/tex]
=> [tex]n \approx 4[/tex]
Gnerally the expected number of stations that will detect an enemy plane is
[tex]E(X) = 7 * 0.65[/tex]
=> [tex]E(X) \approx4.5[/tex]
A 40 : 1 scale model of an airplane is being used to conduct wind-tunnel tests. If the model is 4.5 feet long, how long is the actual airplane
Answer:
180 ft
Step-by-step explanation:
We are told that the scale model is 40:1. And that it's being used to conduct wind - tunnel tests.
This means 40 units represents 1ft.
This means that 4.5ft will be;
(4.5 × 40)/1 = 180 ft
Thus, the actual length of airplane would be 180 ft.
A plumber charges his customers $90 for each hour he works. If Mr. Hall's bill for
plumbing services is $855, which equation could be used to determine the number of
hours the plumber worked?
The equation that represents the number of hours the plumber worked is
90(x) = 855.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, A plumber charges his customers $90 for each hour he works.
Assuming the no. of hours to be 'x'.
∴ The equation that represents the number of hours the plumber worked is
90(x) = 855.
learn more about equations here :
https://brainly.com/question/29657992
#SPJ2
What is the equation to y = 4x
Answer:
20x - 5y= -5
6x- 5y= 9
14x= - 14
x= - 14by4= - 1
put value in equation2
6( - 1) - 5y= 9
- 5y= 9 plus 6
- 5y= 15
y= -15 by5= - 3
Which graph has a y-intercept of - 1/2 ?
Answer:
B
Step-by-step explanation:
It Going Down 1 across 2
Aaron reads 9 books from the library each month for p months in a row. write an expression to show how many books are in the red and all then find the number of books Aaron read if he read for 6 months
Answer:
9p
p=6
9x6 = 54 books
Step-by-step explanation:
Answer:
expression: 9p
answer: 54
Step-by-step explanation:
9 books every month is 9 times p, or 9p
9(6)=54
hope this helps!
How to workout 2 3/5 x 3 1/3
Answer:
26/3 or 8 2/3
Step-by-step explanation:
= 13/5 x 10/3
= 13 x 10
5 x 3
= 130/5
= 26/3
= 8 2/3
pls help its closing tomorrow
Answer:
Stage 1: Simplify each side, if necessary.
Stage 2: Use Add orSub. Properties to move the variable term aside and all different terms to the opposite side.
Stage 3: Use multiplication or division
Stage 4: Check your answer.
Step-by-step explanation:
Lisa was throwing a dart at a target. She threw 50 times with her left hand and 50 times with her right hand. The histograms show the distance Lisa missed the target by each time. Make an inference about which hand Lisa has better aim with based on the median of each data set. Justify your response in COMPLETE SENTENCES!!
Answer:
The left hand is more accurate.
Step-by-step explanation:
If you look at the graph, it will look like the right hand is more accurate, due to the fact that it has a closer distance than the left. However, the right hand actually never have hit the target while the left did more than once.
In the diagram below BAC = 24 and AB = AC
If ABC = y. What is the value of y?
Answer:
Since AB = AC ....the angles opposite these sides are also equal...
So y = [ 180 - 24 ] / 2 = 156 / 2 = 78°
Step-by-step explanation:
Hope that helps, let me know if theres anything wrong with my answer
please click thanks button or something
thanks babe!
Translation are always
Answer:
The same shape but in a different location
Step-by-step explanation:
hope i helped u today:)
Plz help
Select all the true statements A: dilations always increase the length of line segments. B: Dilations take perpendicular lines to perpendicular lines. C: Dilations of an angle are congruent to the original angle. D: Dilations increase the measure of angles. E: Dilations of a triangle are congruent to the original triangle. F: Dilations of a triangle are similar to the original triangle
Answer:
Selection of all the true statements:
A: dilations always increase the length of line segments.
B: Dilations take perpendicular lines to perpendicular lines.
C: Dilations of an angle are congruent to the original angle.
F: Dilations of a triangle are similar to the original triangle
Step-by-step explanation:
Dilations are transformations that enlarge or reduce a figure from its original shape and size to another that a bigger or smaller. Dilations create similar figures because multiplying by the scale factor creates proportional sides while leaving the angle measure and the shape the same. This also implies that dilations of an angle are congruent to the original angle.
Please help 15 points pleaseee
Answer:
i had the same question i think you have to add the num\Step-by-step explanation:
Answer:
a
Step-by-step explanation:
fastttttttttt please a need the answer
Answer: It is the second one, third one, and last one
Step-by-step explanation:
convert 0.86 into a fraction and reduce the answer to the lowest terms.
Answer:
43/50
Step-by-step explanation:
86/100 Divide by 2
43/50
Can't be reduced anymore.
Hope this helped!
A particularly long traffic light on your morning commute is green 17% of the time that you approach it. Assume that each morning represents an independent trial. Over 20 mornings, what is the probability that the light is green on exactly 4 day
Answer:
Step-by-step explanation:
Assuming that we are only trying to calculate the probability of the light being green ONLY on day 4 then it would be the exact same probability as every other day, which would be 17%. Now if we are trying to calculate the probability of the light being green on the first consecutive 4 days then we would need to multiply this probability (in decimal form) four times for the four days like so...
0.17 * 0.17 * 0.17 * 0.17 = x
0.00083521 = x ... times by 100 to get percentage
0.00083521 * 100 = 0.0835%
So the probability of the light being green 4 days in a row during your commute is 0.0835%
For most people, health club membership expenses
Answer:
For most people, health club membership expenses are considered discretionary.
Step-by-step explanation:
-11 + 3(b + 5) = 7
.......
Answer: b = 1
Step-by-step explanation:
-11 + 3(b + 5) = 7 Given
-11 + 3b + 15 = 7 Distributive property
3b + 4 = 7 Combine like terms
- 4 - 4 Subtraction property
3b = 3 Simplify
b = 3/3 Division property
b = 1 Simplify
Solve the following equation for t: 5 ln (4t) = 16
Answer:
6.144
Step-by-step explanation:
Given the expression
5ln(4t) = 16
Required
Solve for t
5ln(4t) = 16
Divide both sides by 5
5ln(4t)/5 = 16/5
ln(4t) = 3.2
Apply exponent to both sides of the equation
e^ln(4t) = e^3.2
4t = e^3.2
4t = 24.53
t = 24.53/4
t = 6.144
The value of t is 6.144
A cattle rancher wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle (see the figure below). There are 510 feet of fencing available to complete the job. What is the largest possible total area of the three pens?
Answer:
Step-by-step explanation:
4w + 2L = 670
2w + L = 335
L = 335 - 2w
Area A(w) = w(335 - 2w)
max occurs at the average of the solutions.
solutions are w=0 and w = 167.5
the average is 83.75
83.75 * (335 - 2 * 83.75) = 14028.125
