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.
what decimals represents each number? one and six tenths
Answer: 1.6
Step-by-step explanation:
Determine if Option A or B is a better deal.
Option A- 16 oz. of jelly for $3.30
Option B- 48 oz. of jelly for $8.64
EXPLAIN
Answer:
Option B cost less per ounce
Step-by-step explanation:
A - 3.30/16 = .21
B - 8.64/48 = .18
Answer:
Option B
Step-by-step explanation:
With option A you get 16 oz. of jelly for $3.30
With option B you get three times the amount of jelly for a better price.
Option B gives you three times the amount of jelly for less than three times the price that it should be.
It's a good deal.
I hope this helps. (I'm new to this btw)
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
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
Tamara has $42.00 to buy party decorations. She wants to buy 3 packs of party hats, 2 bags of balloons, and a banner. The price of each item is shown and includes tax. How much money will Tamara have left? Item Price Pack of: Hats $6.74, Bag of Balloons $4.28, Banner $11.00 *
Answer:
She will have $2.22 remaining.
Step-by-step explanation:
Hope this helps! <3
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
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
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.
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.
-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
) 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]
Which graph has a y-intercept of - 1/2 ?
Answer:
B
Step-by-step explanation:
It Going Down 1 across 2
Is 32,643 divisible by both 3 and 9, why or why not??
Answer: yes it is divisible by 3 and 9
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
if you add all the digits you get 18. according to the divisibility rules, if this is divisible by 9, then both 9 and 3 should be divisible. 18 is divisible by 9, therefore 32,643 is divisible by both 3 and 9
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:
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!
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:
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 :
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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.
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
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
Classify each triangle by its sides.
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:
Cam can't figure what to eat. He is going to randomly select a piece of fruit from his pantry. These are 4 apples and 5 bananas in his pantry.
What is P( select and apple)?
Answer:
4/9
Step-by-step explanation:
Cam has 4 apples and 5 bananas he can choose from. This is a total of 4 + 5 = 9 pieces of fruit.
P(Selecting an apple) = # apples / Total # of choices = 4/9
Answer:
0.44
Step-by-step explanation:
P(select an apple)= 4/9 = 0.44
Khan Academy
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
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thanks babe!
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:
Translation are always
Answer:
The same shape but in a different location
Step-by-step explanation:
hope i helped u today:)
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:
Which statement is true? ( I-ready Level E)
A. All parallelograms are rhombuses
B. All parallelograms are quadrilaterals
C. All parallelograms are squares
D. All parallelograms are rectangles
Answer:
B. All parallelograms are quadrilaterals
Step-by-step explanation:
A. Some parallelograms are rhombuses
B. All parallelograms are quadrilaterals
C. Some parallelograms are squares
D. Some parallelograms are rectangles
The statement i.e. true is to be considered when all parallelograms should be quadrilaterals. Therefore, option b is correct.
What is parallelogram?In terms of geometry, a parallelogram should refer to the quadrilateral that comprise of two pairs of parallel sides. The opposite or facing sides of a parallelogram should be of equal length and the opposite angles of a parallelogram should be of equal measure
hence, The statement i.e. true is to be considered when all parallelograms should be quadrilaterals. Therefore, option b is correct.
Learn more about parallelograms here: https://brainly.com/question/18057835
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What was the significance and lasting impact of Hammurabi’s Code?
EXPLAIN
Known today as the Code of Hammurabi, the 282 laws are one of the earliest and more complete written legal codes from ancient times. The codes have served as a model for establishing justice in other cultures and are believed to have influenced laws established by Hebrew scribes, including those in the Book of Exodus.
Answer:
The Hammurabi Code is significant because it is one of the earliest complete written legal law codes that were used in the ancient times. The lasting impact is that the Hammurabi Code helped established the idea of legal laws and rules that will help shape society for the greater good. Also they helped served as a model for what laws we have and will continue to have.