A television cost $950, how much is a 7% tax?
Answer:
950x7%=66.5
950+66.5=1016.5 with tax
not sure but here you go
Answer:
is 66.5
?/950= 7/100 7x950=6650 6650 división by 100=66.5
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The Census Bureau says that the 10 most common surnames in the United States are, in order, Smith, Johnson, Williams, Brown, Jones, Miller, Davis, Garcia, Rodriguez, and Wilson. These names account for 9.6% of all U.S. residents. Suppose you look at the authors of the textbooks for your current courses and find that there are 8 authors in total. What is the probability that none of the 8 surnames of these authors were among the 10 most common
Answer:
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
Step-by-step explanation:
For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
These names account for 9.6% of all U.S. residents.
This means that [tex]p = 0.096[/tex]
8 authors in total.
This means that [tex]n = 8[/tex]
What is the probability that none of the 8 surnames of these authors were among the 10 most common
This is [tex]P(X = 0)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460[/tex]
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8
Solution :
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
This is a valid probability distribution.
In the question it is given that call for a response of Y for short of a sample of people aged between 19 years to 25 years.
Also the event that describes the value of call for response greater than 3 i.e. (Y < 3) is a randomly chosen people between the age 19 to 25 years old who has gone to fitness center or did exercise fewer than 3 days.
Valid probability models add up to 1
The probability is a valid probability model
The probability model is given as:
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
To determine if the model is a valid probability model, or not
We make use of:
[tex]\mathbf{\sum P(x) = 1}[/tex]
So, we have:
[tex]\mathbf{0.68 + 0.05 + 0.07 + 0.08 + 0.05 + 0.04 + 0.01 + 0.02 = 1}[/tex]
Add the probabilities
[tex]\mathbf{ 1= 1}[/tex]
The above equations shows that:[tex]\mathbf{\sum P(x) = 1}[/tex]
Hence, the probability is a valid probability model
Read more about probability models at:
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chau made $270 for 18 hours of work. At the same rate, how many hours would he have to work to make $105
Answer:
7 hours
Step-by-step explanation:
here,
270/18=105/x
x=(105*18)/270
x=7
Chau made $270 for 18 hours of work. At the same rate, Therefore Chau would have to work 7 hours at the same rate to make $105.
To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:
Let x be the number of hours Chau needs to work to make $105.
We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:
Rate = Total earnings / Number of hours
Rate = $270 / 18 hours
Rate = $15 per hour
Now, we can set up the proportion:
$15 per hour = $105 / x hours
To find x, we can cross-multiply:
$15 × x = $105
Now, solve for x:
x = $105 / $15
x = 7 hours
So, Chau would have to work 7 hours at the same rate to make $105.
To know more about rate
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2(3−8y)= i need help someone
Answer:
6-16y
Step-by-step explanation:
Distribute
2*3
2*-8y
6-16y
Answer:
this is the answer 2 • (3 - 8y)
Step-by-step explanation:
I REALLY NEED HELP? :,)
Answer:
3/7
Step-by-step explanation:
Is this graph and example of a sin or cos graph?
Answer:
Sine
I think
Step-by-step explanation:
The graph of the cosine is the darker curve; note how it's shifted to the left of the sine curve. The graphs of y = sin x and y = cos x on the same axes. . .. You probably noticed that these cofunction identities all use the difference of angles, but the slide of the sine function to the left was a sum.
The sine of the angle = the length of the opposite side. the length of the hypotenuse.
The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
The tangent of the angle = the length of the opposite side. the length of the adjacent side.
A subway train arrives at the station every 9 minutes. You have a doctor’s appointment near the station,
so you take the subway and arrive at 10:06. You are finished with your appointment at 11:44.
When will the next subway train arrive at the station?
The next train will arrive at
Answer:
THE swords men and archer men will take over
Step-by-step explanation:
draw a model of 100oz of soda divided equally among 12 students. How many oz will each person have?
another math problem.(after hr finished breakfist, Mr.Edwards left for work at fifteen minutes after seven What time is this?) btw use P.M. or A.M.
Answer:
7:15 AM
Step-by-step explanation:
Answer:
It's 7.15 A.M.
Step-by-step explanation:
You mentioned breakfast and people do go to work in the morning so it is A.M.
Hope this helps you
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Answer:
Step-by-step explanation:
The answer is (C)
<AEB is congruent to <BEC
Standard form of y=7x+10
Answer: 7x-y=10
Step-by-step explanation:
( -4, 3 ) ; m = 2 Write the equation of the line in point-slope form that passes through the given point with the given slope
[tex] \large \boxed {y - y_1 = m(x - x_1)}[/tex]
Substitute the coordinate point value in the equation[tex]y_1 = 3 \\ x_1 = - 4 \\ m = 2[/tex]
[tex]y - 3 = 2(x - ( - 4)) \\ y - 3 = 2(x + 4)[/tex]
Answer[tex] \large \boxed {y - 3 = 2(x + 4)}[/tex]
Help please
Rotation
Translation
Reflection
Rounded to three decimal places, what is the value of r for this data set?
Variable x 8 15 3 7 2 14
Variable y 15 21 6 12 3 20
Choices:
A. 0.950
B. 0.938
C. 0.880
D. 0.981
Does anyone know which one is the right answer
Answer:
Number 2 is incorrect
Step-by-step explanation:
The correct answer would be line CA is congruent to line ZX
A forest covers 31,000 acres. A survey finds that 0.2 % of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
There are 62 acres of old growth trees
Step-by-step explanation:
You would need to find 0.2% of 31,000
Lets say 0.2% of 31,000 is Y
Y = 0.2/100
Y = 0.2 ÷ 100 x 31,000
Y= 62
Kim’s bedroom is 13 feet long by 11 feet wide what is the area of her bedroom
Answer:
143
Step-by-step explanation:
multiply the 2 together
plz brainliest!
The area of her bedroom is 143 square feet.
What is area of rectangle?The area of rectangle is product of its length to its width.
i.e., Area of rectangle= length x width
Given:
length = 13 feet
width = 11 feet
so, Area of rectangle = length x width
= 13 x 11
= 143 square feet.
Hence, the area of her bedroom is 143 square feet.
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SOMEONE PLS HELP
the multiplicative inverse of 1/5 and (2x-1/5)
Answer:
You multiply 5 by 1/5 to get 1. So with 2x, you multiply by 1/(2x) to get 1. That's about all you know, since we only know that x is positive.
Step-by-step explanation:
Answer:
inverse 1/5 = (1/5)^-1
=1/(1/5)¹ = 1/(1/5) = 1(5/1) = 5/1 = 5
inverse 2x-1/5 = (2x-1/5)^-1
=1/(2x-1/5)¹ =1/(2x-1/5)
=1/(10x/5 - 1/5) = 1/(10x-1 / 5)
=1(5 / 10x-1) = 5 / 10x-1
2.550 gallons in 30 days?
Answer:
85 gallons a day.
Step-by-step explanation:
that's if you mean 2,550 and how many gallons a day you fill a pool for example. but that's a guess for the question.
Find the 8th term in the following sequence.
32, 16, 8, 4, ..
02
O 114
O 1/2
O 1
36 jelly donuts is 200 percent of how
many jelly donuts?
Answer:
18
Step-by-step explanation:
Equation
2x=36
Solve
x=18
Answer:
720 jelly donuts
hope it helps pls mark brainliest
Give each a sum or difference:
a. -12+4=
b. -4+1=
c. 4 - 12=
d. 4+12=
Which rule explains why these triangles are similar?
SSS
SAS
AA
none of the above; the triangles cannot be proven similar
Submit
Answer:
The correct answer is:
AA
△
EGH
~△
EFD
Step-by-step explanation:
I got it incorrect the first time. the person above or below me is wrong.
3 cousins are named Jasmine and Kyra and Louisa.
Jasmine is 3 years younger than twice Kyra's age.
Louisa is 1 year older than a third of Jasmine's age.
Louisa is 4 years old.
How old is Jasmine?
How old is Kyra?
How did you solve this mystery?
What is the coefficient in the following expression?
5a2-7
Answer:
5
Step-by-step explanation:
coefficeint is the number before the variable
Please help!!! Will give brainliest!!!
Answer:d
Step-by-step explanation:
Both aren’t related But they do have some impact on eachother
help me to solve this please
Answer:
-4/9
Step-by-step explanation:
We first calculate the first bracket.
[2/3-(-4/9)]
= (2/3+4/9) (we cancel out the negatives)
= (6/9+4/9) (common denominator)
= 10/9
Then we convert -2 1/2 into an improper fraction.
-2 1/2
= -5/2
Finally we calculate the division by swapping the numerator and denominator of -5/2.
10/9 / -5/2
= 10/9 * -2/5
= -20/45
= -4/9 (simplify the terms)
help this is a hard question...