Answer:
12.4 ft
Step-by-step explanation:
Use the Pythagorean Theorem to find the length of the diagonal of the rectangle:
(4 ft)² + x² = (13 ft)², or 16 + x² = 169 ft²
Then x² = (169 - 16) ft², and x = +√(153 ft²) = 12.4 ft
(This matches Answer C)
Without properly working spark plugs, a vehicle will not run. For a specific vehicle, the spark plugs are supposed to have a gap between 3.9mm and 4.3mm. Any spark plugs with gaps larger or smaller than this will fail inspection and be discarded. At the factory, the machine that sets the gap follows a normal distribution with a mean of 4.1mm and standard deviation of 0.075mm. What is the probability that a randomly selected spark plug passes inspection
Answer:
The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.
P(3.9≤X≤4.3) = 0.9922
Step-by-step explanation:
Step(i):-
Given that the mean of the Normal distribution = 4.1mm
Given that the standard deviation of the Normal distribution = 0.0075mm
Let 'X' be the random variable in a normal distribution
Given that X₁ = 3.9mm
[tex]Z_{1} = \frac{X_{1} -mean}{S.D}[/tex]
[tex]Z_{1} = \frac{3.9 -4.1}{0.075} = -2.666[/tex]
Given that X₂ = 4.3mm
[tex]Z_{2} = \frac{X_{2} -mean}{S.D}[/tex]
[tex]Z_{1} = \frac{4.3 -4.1}{0.075} = 2.666[/tex]
Step(ii):-
The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.
P(3.9≤X≤4.3) = P(-2.666≤Z≤2.666)
= P(Z≤2.666)-P(Z≤-2.666)
= 0.5 +A(2.666) - (0.5-A(2.666)
= 2 × A(2.666)
= 2×0.4961
= 0.9922
Final answer:-
The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.
P(3.9≤X≤4.3) = 0.9922
hey can you help me fast!!
850
Step-by-step explanation:
Help me plz ………………?…;
Answer:
9.04ft
Step-by-step explanation:
This will help you
I need this please.Give the right answer.It’s a huge grade that I NEED!
Answer:
Line 2 will be the best fit for the data
Step-by-step explanation:
hope it helps...
have a great day!!
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Olivia sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 144 visitors purchased no costume. 182 visitors purchased exactly one costume. 9 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase no more than one costume as a decimal to the nearest hundredth.
Answer:
There is a 54.328% probability that the next person will purchase no more than one costume.
Step-by-step explanation:
Since in a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance, and Olivia sets up a website where players can buy and sell these costumes online, and information about the number of people who visited. the website and the number of costumes purchased in a single day states that 144 visitors purchased no costume, 182 visitors purchased exactly one costume, and 9 visitors purchased more than one costume, to determine, based on these results, the probability that the next person will purchase no more than one costume as a decimal to the nearest hundredth, the following calculation must be performed:
144 + 182 + 9 = 335
335 = 100
182 = X
182 x 100/335 = X
18,200 / 335 = X
54,328 = X
Therefore, there is a 54.328% probability that the next person will purchase no more than one costume.
Math help help please
Answer:
5,000,000+4,000+300=5,004,300
Step-by-step explanation:
hope this helps
WHAT IS THE HEIGHT OF THE TREE ROUNDED TO THE NEAREST TENTHS PLACE
Answer:
Where is the number i need to round to?
(Please don't give me a bad rating i'm trying to help :) )
Solve: Four more than a number is more than 13
Inequality :
Solution :
Answer:
x + 4 > 13
x > 9
Step-by-step explanation:
In this equation, the value of the "number" is unknown, so I used a variable (x) to represent the unknown value.
FOUR more than x would mean addition.
x + 4.
According to this word problem, four more than x is larger than thirteen, so a greater than symbol was used.
Like this,
x + 4 > 13.
We can find the solution to 'x' by subtracting 4 from 13.
Like this,
13 - 4 = 9
Therefore, the solution is x > 9
And, the inequality is x + 4 > 13.
A pet store advertises
a 30% off sale or dog crates.
What is the regular price of a
large crate that costs $85.50
on sale?
Answer:
the answer is 1.99 I think im not sure I guessed
Step-by-step explanation:
Which two quadrilaterals are reflections of each other across the y-axis?
Answer:
Step-by-step explanation:
When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Hope this helped.
Can someone please help me on this homework ASAP!!
Answer:
Step-by-step explanation:
Multiply each term of (x² + 2x - 1) by x and multiply each term of (x² + 2x - 1) by 3
Area of parallelogram = bh
= (x² + 2x - 1)(x + 3)
= (x² + 2x - 1)*x + (x² + 2x - 1)*3
=x²*x + 2x*x - 1*x + x²*3 +2x*3 - 1*3
= x³ + 2x² - x + 3x² + 6x - 3
= x³ + 2x² + 3x² -x + 6x - 3
= x³ + 5x² + 5x - 3
To wash a window that is 12 feet off the ground, Mason leans a 20-foot ladder against the side of the building. To reach the window, how far away from the building should Mason place the base of the ladder?
Answer:
by clumbing the ladder
Step-by-step explanation:
The base of the ladder should be placed so that it is one foot away from the building for every four feet of hight to where the ladder rests against the building. This is known as the 4 to 1 rule.
0
1
N
3 4 5 6 7
8 9 10
Number of Snacks
What is the median of the data values?
Answer: it would be 5
Step-by-step explanation:
0,1,2,3,4,5,6,7,8,9,10 the middle #is 5
Given the functions f(x) = x^5 and g(x) = 8.2^x, which of the following
statements is true?
A: f(2)>g(2)
B: f(2)
C: f(2)=g(2)
if in a triangle ac= 15 and angle abc=60 degrees what is ab?
Answer:
∠A=30° and AC and BC is 13 and 7.5 units respectively
Step-by-step explanation:
Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units
we have to find the remaining angles.
By angle sum property, sum of angles in right angle is 180°
∠A+∠B+∠C=180°
∠A+ 60°+90°=180
∠A=180°-150°=30°
∠A=30°
As AB= 15
Now by trigonometric ratios we find the other sides of triangle ABC
Hence, ∠A=30° and AC and BC is 13 and 7.5 unitsStep-by-step explanation:
∠A=30° and AC and BC is 13 and 7.5 units respectively
Step-by-step explanation:
Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units
we have to find the remaining angles.
By angle sum property, sum of angles in right angle is 180°
∠A+∠B+∠C=180°
∠A+ 60°+90°=180
∠A=180°-150°=30°
∠A=30°
As AB= 15
Now by trigonometric ratios we find the other sides of triangle ABC
Hence, ∠A=30° and AC and BC is 13 and 7.5 units
2(1/5m-2/5)+3/5 Combine like terms to create and equivalent expression, please help :).
Answer:
Step-by-step explanation:
First, carry out the indicated multiplication. We get:
2m/5 - 4/5 + 3/5, which condenses to
2m - 1
2m/5- 1/5 or ---------------
5
help! i need an equation for this
Answer:
y = -2/3x + 8
Step-by-step explanation:
Format: y = mx + b
m = slope (rise over run) - 2/3 The graph is negative so the slope is also negative.
b = y - intercept (8)
Hi i'm in the 5th grade almost 6th I struggle a lot with math and i have a lot of anxiety so sometimes i get stressed and i just needed a little help with my exam so here is a question i need help with .
Question/ 34 Divide by 26
Answer:
1.31
Step-by-step explanation:
I used a calculator and just rounded this number 1.30769230769
if the number is five or higher then you would round the number next to the 7. So 7 rounded 0 is 1.31. Sorry i tried to explain it in the best way possible!
I need help with this one too!
Answer:
rectangle and quadrilateral
Step-by-step explanation:
A person is standing 215 feet above the ocean
watching a ship come in. Initially the angle of elevation
from the boat to the person is 31 degrees. After
traveling towards the person for a few minutes, then
angle is 48 degrees. How far did the boat travel
between the two points? Round to the nearest foot.
Answer:
Step-by-step explanation: I don’t know I just want my extra points
Answer: 164 ft
Step-by-step explanation:
tan 48=215/x
-> x.tan48=215
->x =215/tan 48
->x = 193.6
tan 31=215/y
-> y.tan31 = 215
-> y= 215/ tan 31
-> y= 357.82
BC= y-x
= 357.82-193.6
= 164.22 = 164 ft
Joan is planning a party. She wanted to serve nachos as an appetizer dish for her guests. Joan went to Costco and found a huge can of pre-made nacho cheese. When she got home, she wondered, "how much cheese is in this giant can?" So, she grabbed a ruler, measured the can, and concluded that it is 12-inches tall with a diameter of 6-inches. Continue Joan's calculation and find the amount of space inside that nacho cheese can.
Answer:
339.29
Step-by-step explanation:
V=πr²h
Pleasee help thanks!
Answer:
I believe your answer is A.
Step-by-step explanation:
2x2x2
2x2=4
4x2=8
Therefore, x=2.
Answer: c
Step-by-step explanation:
i need help no links
Answer:
Hello!
Angle z = 137
Hope this helps.
Answer:
z = 90
Step-by-step explanation:
simple really this also might come in handy later.
5.4.PS-12
Trains Two trains, Train A and Train B, weigh a total of 260 tons. Train A is heavier than Train B.
The difference of their weights is 212 tons. What is the weight of each train?
Train A weighs tons
Answer:
the answer is c
Step-by-step explanation:
Can we make a triangle out of one angle that measure 20 degrees and another that measures 45 degrees
Answer:
Yes. If the third angle is equal to 115 degrees.
Step-by-step explanation:
The sum of all the angles in a triangle must equal 180 degrees.
If the two angles are 20 degrees and 45 degrees the third angle must be
180-45-20= 115 degrees
A triangle having three different angles is called a scalene triangle.
A scalene triangle also has three different sides.
But if the third angle is less or greater than 115 degrees the triangle cannot be formed.
This is the called the sum property of triangle.
There is another property which must also be satisfied i.e the sum of any 2 sides must be greater than the third side.
Mrs. Williamson had 18 students in her homeroom at the beginning of the school year and 24 students at the end of the year. What was the approximate percent increase in the number of students in Mrs. Williamson’s homeroom?
25%
33%
57%
75%
Answer:
25%
Step-by-step explanation:
An easy way to figure this out is just by dividing the initial amount of students (18) by the current amount of students (24), and then subtracting 1.
So, 18/24 = 0.75 (aka 75%), and 1 - 0.75 = 0.25 (aka 25%)
a. 1/4
b. 1/2
c. 1/5
d. 1/3
Answer:
1/3
Step-by-step explanation:
The distance from -6 to -3 is 3. The distance from -2 to -1 is 1.
3/3 => 1
1/3 difference
Answer:
Step-by-step explanation:
First, find the length of CD correct to 2 decimal places.
Answer:
3.2CD
Step-by-step explanation:
Which statement BEST describes how the pipe player in Passage 1 influenced Caesar's crossing of the Rubicon?
A ) The pipe player's song distracted the opposition, which allowed Caesar to mount a suprise attack.
B ) The pipe player had a striking appearance that Caesar admired.
C ) The pipe player convinced other soldiers to join Caesar in his fight.
D ) The pipe player's song brought nearby trumpeters to the area, which inspired Caesar to sound the advance.
Answer:a or d
Step-by-step explanation:
** 20 points ! find the surface area, in square inches :)
Answer:
Surface area
103.109in²
Step-by-step explanation:
Hope this helps! I would appreciate if you make me brainliest!