Answer:
6 and 12 have the greatest common factor of 2
Answer:
4
Step-by-step explanation:
The seats are divided into 40 sections. If hats are to be given in only 5 sections, what is the probability of a guest sitting in a winning section? Record your answer as a fraction in simplest form.
Answer:
P=(Probablility of a guest sitting in a section that gets a hat) =number of ways it can happen/total number of outcomes. =5/40= 1/8
Step-by-step explanation:
The probability of a guest sitting in a winning section is 1/8.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given, The seats are divided into 40 sections and hats are to be given in only 5 sections.
Here, N(S) = 40 and N(H) = 5.
Therefore, We know, P(H) = N(H)/N(S).
P(H) = 5/40.
P(H) = 1/8.
Some more concepts of probability are, Conditional probability,
A term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
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A JET PLANE CARRY UP TO 200,000 LITTERS OF FUOL IT USED 130, OOO LITTERS OF FUEL DURING A FLIGHT WHAT PERCENTAGE OF THE FUOL CAPACITY DID IT USE ON THIS FLIGHT
Answer:
Step-by-step explanation:
100(13/20)=65%
The tolerance limits for a circuit breaker are Amperes. This means that any circuit breaker that breaks at an amperage less than 39.5 breaks at too low a level and any that breaks at an amperage greater than 40.5 breaks at too high a level. If a shipment of circuit breakers possesses break points that are normally distributed with mean 39.3 and standard deviation 0.2, then what percentage of the shipment is defective
Answer:
84.13% of the shipment is defective
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Normally distributed with mean 39.3 and standard deviation 0.2
This means that [tex]\mu = 39.3, \sigma = 0.2[/tex]
What percentage of the shipment is defective
Less than 39.5 or greater than 40.5.
Less than 39.5:
This is the pvalue of Z when X = 39.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{39.5 - 39.3}{0.2}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413.
Greater than 40.5:
1 subtracted by the pvalue of Z when X = 40.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{40.5 - 39.3}{0.2}[/tex]
[tex]Z = 6[/tex]
[tex]Z = 6[/tex] has a pvalue of 1
1 - 1 = 0
Total:
0.8413 + 0 = 0.8413
84.13% of the shipment is defective
A total of 6.54 inches of snow fell during a storm. The snow fell at an
average rate of 1.5 inches per hour. For how many hours did the snow fall? *
Answer:
4.36
Step-by-step explanation:
6.54/1.5=4.36
Can someone help me ASAP
Answer:
x= (-∞,∞)
Step-by-step explanation:
x could be any value and make this equation true
Isabella is cooking a meal for 14 friends. Each person gets
6
of a cup of vegetables.
How many cups of vegetables does Isabella need?
the triangle Loom is made from wood strips shaped into a 45 45 90 triangle. pegs are placed every half inch along the hypotenuse and every quarter inch along each leg. suppose you make a loom with an 18 inch hypotenuse. approximately how many pegs will you need
Answer:
36 pegs (for the hypotenuse)
About 51 pegs (for the legs)
138 pegs (total)
Step-by-step explanation:
Along the hypotenuse, the pegs are placed every half-inch. That would make 2 pegs per inch. Multiply 2 x 18 to get 36.
The legs are each 9 sqrt 2. This is 12.7279220614. The pegs are placed at each quarter inch for the legs. This is 4 per inch. So multiply 12.7279220614 x 4 to get 50.9116882454. Round this to 51.
Add 51 + 51 for the legs total pegs. You get 102. Add 102 + 36 to get 138 pegs total.
Hope it helps!
A flying disc was originally marked at 5$ and has been sold at $3.50. What was the percent of discount?
Answer:
30%
Step-by-step explanation:
Percentage discount
[tex] = \frac{discount}{original \: price} \times 100\% \\ = \frac{5 - 3.50}{5} \times 100\% \\ = 30\%[/tex]
☆ Discount= original price -selling price
Paul was thinking of a number. Paul divides by 3, then adds 10 to get an answer of 2. What was the original number?
Answer:
-24
Step-by-step explanation:
let 'n' = the number
n/3 + 10 = 2
n/3 +10 - 10 = 2 - 10
n/3 = -8
n = -24
Answer:
x= -24
Step-by-step explanation:
let the number be x
x/3 +10=2
Multiply through by 3
3 * x/3 + 3 *10 = 2*3
x + 30 = 6
x= 6 - 30
x= -24
note * = multiplication sign
y=10-13
what is the solution for y?
Answer:
-3
Step-by-step explanation:
10 minus 13 is negative 3.
Triangle GHI is dilated to form new triangle JKL. If angle H is congruent to angle K, what other information would prove that the two triangles are similar by the capital AA similarities postulate?
Answer: Angle I is congruent to angle L
Step-by-step explanation:
Did da test
To prove ΔGHI and ΔJKL are similar following statements must be true,
i) angle I and angle L are congruent.
ii) angle G and angle J are congruent
iii) sides of the triangles are in proportion
⇒[tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex][tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex]
What are similar triangles?"Two or more triangles are similar if and only if the corresponding angle measures same and their corresponding side lengths are in proportion.."
What is dilation?"It is a geometric transformation where there is a change in the size of an object without changing its shape.""The size of the object changes on the basis scale factor."For given example,
ΔGHI is dilated to form new ΔJKL.
Also, angle H is congruent to angle K.
To prove ΔGHI and ΔJKL are similar.
i) angle I and angle L are congruent.
ii) angle G and angle J are congruent
iii) sides of the triangles are in proportion
⇒[tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex]
Therefore, to prove ΔGHI and ΔJKL are similar following statements must be true,
i) angle I and angle L are congruent.
ii) angle G and angle J are congruent
iii) sides of the triangles are in proportion
⇒[tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex]
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You deposit $1,500 in an account earning 2.75% simple interest. How long will it take for the
balance of the account to be $1,995.
Answer:
12 years if interest is paid yearly
12 months if interest is paid monthly
Step-by-step explanation:
2.75% of $1500 is $41.25 interest per period
$1995-$1500 = $495 total interest
$495 ÷ $41.25 = 12 periods
Therefore it takes 12 interest periods to reach $1995, so the answer is 12 months or 12 years depending on how often interest is paid.
what two letters don't appear on the telephone dial
Answer:
Step-by-step explanation:
Q and X
On a telephone dial, the letters "Q" and "Z" do not appear. The dial was designed to include commonly used letters and numbers, prioritizing efficiency and simplicity in dialing.
On a traditional telephone dial, there are two letters that do not appear:
The letter "Q" does not appear on the telephone dial. This omission is because the letter "Q" is not necessary for dialing phone numbers or for any commonly used telephone functions.
The letter "Z" is also absent from the telephone dial. This omission is because the letter "Z" is not needed for dialing phone numbers and is not commonly used in telephone-related applications.
The layout of the telephone dial was designed to accommodate the most frequently used letters and numbers while minimizing the number of keys. This design decision was made to ensure efficiency and simplicity in dialing numbers and accessing telephone services.
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digits to write the value of the 5 in this number.587,096
Answer: what does the question even mean
Step-by-step explanation:
Jolyn was paid $340 last week working 17 hours. What was Jolyn’s hourly pay? Do not include the units in your answer
Answer:
20
Step-by-step explanation:
It is mentioned that Jolyn made $340 in 17 hours last week. In order to evaluate this, you'll have to divide the money earned by the hours worked.
[tex]\frac{340}{17} =20[/tex]
Therefore, Jolyn makes $20 an hour as 20 x 17 = 340 which is correct,
what is 1/2 divided by 6?
Answer:
1/12 or 0.0833
Step-by-step explanation:
1/2 divided by 6
1/2x6
1/12!
Answer: Fraction Form: 1/12
Decimal Form: 0.0833
Expanded Decimal Form: 0.08333333333
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Suppose a day from this city is selected at random. Let
event A = heavy traffic and event B = bad weather. Are
events A and B independent?
Answer:
The two events are not independent
Step-by-step explanation:
Two events are said to be independent only when the change in one event affect the other event.
Here the two given events are not independent.
Band weathers such as heavy rainfall, snowfall etc. leads to failure of traffic management system and thereby causes heavy traffic. This is easily seen in all major urban cities.
Hence, the two events are not independent as the traffic is affected by the weather conditions.
Write an integer for deposit of $100
Write an integer for deposit of $100:
-$100
please i really need to know the answer
Answer:
y = 10x + 30
Slope is 10
Y intercept is 30
Clint pays $80
Step-by-step explanation:
Let me know if you need any explanations
50 points I WILL ALSO MARK BRAINLIEST ITS TIMED PLZ HURRY
The coordinates of the vertices of a polygon are shown on the graph below.
On a coordinate plane, point A is at (negative 4, 3), point C is at (0, negative 3), and point B is at (negative 4, negative 3).
What is the name of the polygon?
octagon
pentagon
quadrilateral
triangle
Answer:
Triangle
Step-by-step explanation:
Option D. triangle
original price: $148 discount: ? sale price: $125.80
Answer:
15 % off
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 148 × 15/100
Discount = 148 x 0.15
You save = $22.20
Final Price = Original Price - Discount
Final Price = 148 - 22.2
Final Price = $125.80
what is the answer
y-11=25-3y
Answer:
9
Step-by-step explanation:
y-11=25-3y
y + 3y = 25 + 11
4y = 36
y = 36 / 4
y = 9
Hope it will help :)
6. Cindy and Sam are 24 miles apart on a path when they start moving
toward each other. Cindy runs at a constant speed of 10 miles per
hour, and Sam walks at a constant speed of 6 miles per hour.
How long does it take until Cindy and Sam meet?
Answer:
2 hours to meet each other
Step-by-step explanation:
Answer:
1.5
Step by step explanation:
Which expression is the sum of
-5.3m + 3.4n and 2.5n + 2.8m?
A. -2.8m + 6.2n
B. -2.5m + 5.9n
C.-8.1m + 0.9n
D. 2.5m + 5.9n
+
B
Answer:
b
Step-by-step explanation:
its b because you add the 3.4n +2.5n then you subtract -5.3+2.8
A caterpillar crawling in a straight line across a coordinate plane starts at point (-3,
-4) and ends at point (25, 38). Counting the start point and end point, how many
points with integer coordinates does the caterpillar touch?
9514 1404 393
Answer:
15
Step-by-step explanation:
In vector form, the equation of point p on the line can be written as ...
p = (-3, -4) +t(25 -(-3), 38 -(-4)) . . . . . for some scalar t
p = (-3, -4) +t(28, 42)
p = (-3, -4) +14t(2, 3)
where t takes on any value between 0 and 1.
If we let t = n/14 for some integer 0 ≤ n ≤ 14, then the coordinates of point p will be integers.
There are 15 values that n can have in the allowed range.
The caterpillar touches 15 points with integer coordinates.
Find an equivalent expression using the Distributive Property. 0.25(8r−4m)
Answer:
2r-m
Step-by-step explanation:
0.25(8r - 4m)= multiply the parentheses by o.25 then calculate 0.25x8r- 0.25x4m
Dan is fertilizing his garden. The garden is in the shape of a rectangle. it's length is 16 feet and it's width is 13 feet. suppose each bag of fertilizer covers 26 square feet. How many bags will he need to cover the garden?
Answer:
Step-by-step explanation:
16ft(13ft)(b/26ft^2)=8b
So he’ll need 8 bags
Help pls don’t answer if you don’t know ill give you brainliest
Answer:
brainliest since i dont know
LOL
Step-by-step explanation:
which expression is equivalent to 2(3 - x) - 12 + 4x
3x - 6
3x - 7
2x - 7
2x - 6
Subject A is traveling at a constant speed ahead of subject B. If B raises its speed by 4 times, it will catch up with A in 30 minutes. If B raises its speed by 5 times, it will catch up with A in 20 minutes. How many minutes it will take for B to catch up with A if B raises its speed 6 times?
Answer:
15 minutes
Step-by-step explanation: