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Explanation:
With the use of a calculator, we see that,
11/19 = 0.57894736842106...., the decimals eventually repeat; but unfortunately my calculator ran out of room to show the repeating portion4/7 = 0.5714285714285714..., the block "571428" repeats forever1/3 = 0.333333.... the 3s go on forever3/150 = 0.02So 3/150 converts to the terminating decimal 0.02
The word "terminate" means "stop". In the other decimal values, the decimal digits go on forever repeating the patterns mentioned.
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A non-calculator approach will have us simplify 3/150 into 1/50 after dividing both parts by the GCF 3. Then notice how 50 has the prime factorization of 2*5*5. The fact that the denominator 50 can be factored in terms of only 2's and 5's is enough evidence to conclude that the fraction converts to a terminating decimal.
If the denominator factors into some other primes, other than 2s and 5s, then we don't have a terminating decimal. So that's why 11/19, 4/7 and 1/3 convert to non-terminating decimals.
Please help! Doing online because of pandemic!
For line b, d, and e, line d is parallel to line e, and m∠1 = 81°.
Part A: In complete sentences, explain the relationships between all pairs of special angles 1, 2, 3, and 4 created by transversal line b and parallel lines d and e.
Part B: For the given diagram, use the measure of the special angle relationships created by transversal line b and parallel lines d and e to find the measures of ∠2, ∠3, and ∠4.
Answer:
ART A: Angles 1 and 4 are Corresponding Angles. Angles 1 and 3 are Vertical Angles. Angles 1 and 2 are Adjacent Supplementary Angles. Angles 2 and 3 are also Adjacent Supplementary Angles. Angles 3 and 4 are Opposite Interior Angles.
PART B:
<2=99 °
<3=81 °
<4=99 °
Step-by-step explanation:
PART A: Angles 1 and 4 are Corresponding Angles. Angles 1 and 3 are Vertical Angles. Angles 1 and 2 are Adjacent Supplementary Angles. Angles 2 and 3 are also Adjacent Supplementary Angles. Angles 3 and 4 are Opposite Interior Angles.
PART B:
<2=99 °
<3=81 °
<4=99 °
pls help this is due today whoever anders the most questions gets brainliest
Answer:
4. percent...........
Autumn invested 2800 in a account paying an interest rate of 6.2% compounded monthly.Assuming no deposits or withdrawals are made how much money to the nearest ten dollars would be in the account after 8years
Answer:
4530.55
Step-by-step explanation:
2800 x 6.2% = 173.6
2800 + 173.6 = 3157.96
repeat this step 8 times because you need to find the money in the account after 8 years. Tell me if you need further explanation
A recipe calls for 1 1/2 cups of flour for 1 dozen of cookies. How much flour is needed for 32 cookies?
Answer:
4 cups
Step-by-step explanation:
At a pet store, a survey was taken asking how many pets each person had. The
results were: (2,5, 3, 1, 0, 4, 2, 7,0, 2, 7,3). What is the mode?
Answer:
2
Step-by-step explanation:
We have these numbers: 2, 5, 3, 1, 0, 4, 2, 7, 0, 2, 7, 3
The mode is the most common value. I can see 3 two's in the data set. The mode is 2.
#SpreadTheLove <3
An employee at a shoe store has observed that taller customers have larger shoe sizes than customers who are shorter. She knows that shoe sizes are based on foot length, so she hypothesizes: Compared with shorter people, taller people have longer feet. Look for patterns in the data. Describe any patterns you find.
Answer:
hello some information related to your question is missing
answer : The pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .
Step-by-step explanation:
From the data given the pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .
you deposit 3,800 in an account with an annual interest of 5.2% for 20 years
Joel is looking at payment plans for the gym.
Plan A: $25 per month plus $145 to start
Plan B: $50 per month
How many months would it take for Plan A to be cheaper than Plan B?
Answer:
5 months
Step-by-step explanation:
plan a: $145 +$25x ........ $145 + ($25 x 4)= $245
plan b: $50x.......... $50 x 5= $250
Are these congruent (PLEASE HELPPP)
Answer:
all of them are congruent
Step-by-step explanation:
HOPE IT HELPS YOU
If one side of a square is increase by 10 units, the area of the rectangle formed is 3 times the area of the square. Find the area of the rectangle.
Answer:
75 square units
Step-by-step explanation:
(x+10)x=3x^2
x^2+10x=3x^2
10x=2x^2
5x=x^2
x=5
Plugging in 5 into either of the initial equations yields the answer.
What is the value of the fourth term in a geometric sequence for which ay =
10 and r = 0.5?
Answer:
1.25
Step-by-step explanation:
a = 10 and r = 0.5
The formula for calculating any term in a geometric sequence is a (the first term) times r (the common ratio) raised to the power of n - 1.
In this case n = 4, since we're looking for the fourth term.
so,
Un = ar^n-1
= ar^4-1
= ar^3
U4 = 10 × 0.5^3
= 10 × 0.125
= 1.25
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
Answer:
32 units²
Step-by-step explanation:
this shape is a trapezoid with a height of 4 and bases that are 4 and 12 units in length
formula is: 1/2(height) x (sum of bases)
A = 1/2(4)(4 + 12)
A = 2(16)
A = 32
88% of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 72% have an emergency locator, whereas 86% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared.
A) If it has an emergency locator, what is the probability that it will not be discovered?B) If it does not have an emergency locator, what is the probability that it will be discovered?C) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what isthe probability that 7 of them are discovered?
Answer:
a) [tex]P(D'/L)=0.03[/tex]
b) [tex]P(D/L')=0.7[/tex]
Step-by-step explanation:
From the question we are told that
Probability of discovered [tex]P(D)=0.88[/tex]
Probability of aircraft with locator [tex]P(L/D)=0.72[/tex]
Probability of lost aircraft without locator [tex]P(L'/D')=0.86[/tex]
Generally the probability that aircraft are not discovered is mathematically given as
[tex]P(D')=1-0.88[/tex]
[tex]P(D')=0.12[/tex]
Generally the probability that aircraft with locator are discovered is mathematically given as
[tex]P(L'/D)=1-0.72[/tex]
[tex]P(L'/D)=0.28[/tex]
Generally the Probability of lost aircraft without locator mathematically given as
[tex]P(L/D')=1-0.86[/tex]
[tex]P(L/D')=0.14[/tex]
Generally the Probability of having a locator mathematically given as
[tex]P(L)=P(L/D)*P(D)+P(L/D')*P(D')[/tex]
[tex]P(L)=0.72*0.88+0.14 *0.12[/tex]
[tex]P(L)=0.6504[/tex]
a)Generally the Probability of getting lost even with locator mathematically given as
[tex]P(D'/L)=\frac{P(L/D')(P(D')}{P(L)}[/tex]
[tex]P(D'/L)=\frac{0.14*0.12}{0.6504}[/tex]
[tex]P(D'/L)=0.0258302583[/tex]
[tex]P(D'/L)=0.03[/tex]
b)Generally the Probability of getting lost even with locator mathematically given as
[tex]P(D/L')=\frac{P(L'/D)(P(D)}{P(L')}[/tex]
[tex]P(D/L')=\frac{0.28*0.88}{1-0.6504}[/tex]
[tex]P(D/L')=0.704805492[/tex]
[tex]P(D/L')=0.7[/tex]
if m=2 and b=-5, what is the equation of the line in slope intercept form
Answer:
y=2x-5
explanation:
y=mx+b
In a sample of 31 kids, their mean time on the internet on the phone was 36.5 hours with a sample standard deviation of 8.3 hours. Which distribution would be most appropriate to use, when we assume these times are normally distributed
Answer:
Normal distribution
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Sample of 31 kids, of a normally distributed variable. So, by the Central Limit Theorem, the most appropriated distribution to use is the normal distribution.
If X = 14, find the value of the variable a. If your answer is not an integer, express it in simplest radical form.
Answer:
Step-by-step explanation:
First thing I would do is square the 14, and put it under the radical. Itll make the calculations a little bit easier.
14sqrt(2) = sqrt392
Use the definition of sine to find the value of a
sin(45) = opposite/hypotenuse = a/sqrt392
[tex]sin(45)=\frac{a}{\sqrt{392} }[/tex]
a = 14
What is equivalent to 3;4
Answer:
6;8
3;4 that the lowest that it can go. the equivalent is 6;8 but if you want to change it into decimal form you can divide by two which is 1.5;2 but the answer is 6;8 because 3;4 is already in it's lowest form, or is already simplified to it's maximum extent.
Replacing x with 0.75 in x 2 will give you an answer of 0.5625
TRUE OR FALSE.
Answer
TRUE
MARK AS BRAINLIEST
1 Jeremy is driving to a friend's house that is 88 miles away from his home. The scale on Jeremy's map is Inch is equivalent to 8 miles. How far is it on the map 2 from Jeremy's house to his friends house?
4 1/2 inches
3 1/2 inches
5 1/2 inches
9 1/2 inches
Find the area of the octagon.
The area is _
There is a chowder eating contest in a small New England town. The distribution of the amount of chowder consumed is bell-shaped with mean 32 ounces and variance 64 ounces. If two hundred people participated in the contest, find the following.a. The number of people who consumed between 24 and 40 ounces of chowder.b. The number of people who consumed between 16 and 40 ounces of chowder.
Answer:
Interval ( 24 ; 40 ) has 136 participants
Interval ( 16 ; 40 ) has 163 participants
Step-by-step explanation:
Normal distribution.
As variance is 64 then standard deviation is σ = 8
And mean μ₀ = 32
We can see that μ₀ ± σ is 32 ± 8
The interval ( 32- 8 ; 32+8 ) is ( 24 ; 40 )
By empirical Rule we know that μ₀ ± σ contains 68% of the population then 200*0,68 = 136
The number of participants between 24 and 40 is 136
By symmetry of these 136 half of them are between 32 and 40 ( 136/2 = 68 ) ( between mean and 40 )
Now in the interval ( 16 ; 40 ) we note that 16 is 32 - 16 = 16 or μ₀ - 2σ
And again by empirical rule μ₀ ± 2σ has 95 % of the population that means 200*0.95 = 190 and by symmetry 190/2 95 are between μ₀ - 2σ, therefore
95 people are between μ₀ - 2σ or between ( 16 ; 32 ) and between ( 32 ; 40 ) there are 68 people then
The interval ( 16 ; 40 ) has 95 + 68 = 163 participants
can somebody help me, major grade and is timed, pre ap geometry
Step-by-step explanation:
First find the value of Y=> 5y-8=3y+1
=> 5y-3y=1+8
=> 2y=9
=> y=4.5
Second find the value of X=> x+6=4x
=> 6=4x-x
=> 6=3x
=> x=(6/3)
=> x=2
Thus, x=2 and y=4.5 [Option C]
Hope this helps you.
Ariel spent a total of $3.42 buying dried apricots from the bulk bins, which were on sale for $2.85 per pound. To the nearest tenth of a pound, how many pounds of dried apricots did Ariel buy?
Answer:
1.2
Step-by-step explanation:
Just do 3.42/2.85 and u get 1.2 pounds.
Answer:
1.2 lbs
Step-by-step explanation:
3.42 (amount spent)/2.85(amount per pound)
The length of a subway is 385 miles. If 3 cm represents 35 miles on the map, then what is the length of the subway on the map in cm?
Answer:
33cm
Step-by-step explanation:
385 / 35 = 11
11 times 3 = 33
Define/explain the symmetric property.
Step-by-step explanation:
The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .
Amanda received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.27 per pound. After
buying the coffee, she had $36.38 left on her card. How many pounds of coffee did she buy?
Answer:
She bought 6 pounds of coffee.
Step-by-step explanation:
80-36.38=43.62
so she spent $43.62 on coffee
43.62 divided by 7.27 = 6
Question Help
Suppose you deposited $300 in a savings account 2 years ago. The simple interest rate is 2.9%
The interest that you eamed in those 2 years is $17.40. Which of the following is/are true?
= 2.996
r=17-40 D=300
Answer:
account 2 years ago. The simple interest rate is 2.9% The interest that you eamed in those 2 years is $17.40. Which of the following is/are true? = 2.996 r=17-40 D= 300.
what is 6+5/7 converted into a mix number
Answer:
47/7
Step-by-step explanation:
I think the answer is 6 5/7 or 47/4
Answer:
6 5/7
Step-by-step explanation:
Hope this helps!
Best of luck! ♥
A fundraiser agrees to donate an extra $75 for every $100 the school raises through selling cookies what is the constant of the proportionality
Answer:
3/4 or 0.75
Step-by-step explanation:
The average cost of a bag of popcorn at the movie theater was $3.50 in 1995 and $4.75 in 2015 find the percentage change in the price of the bag of popcorn from 1995 to 2015 and classify as a percent increase or percent decrease
Answer:
500$ dollars
Step-by-step explanation: