1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fiasKO [112]
3 years ago
14

The state of Utah has a sales tax of 4.75% and the maximum rate a consumer can pay for local sales tax is 8.35%. What is the ran

ge of possible sales tax rates that a consumer could pay on a taxable item in the state of Utah? At least 4.75% and at most 13.1% (Apex answer)
Mathematics
2 answers:
Nikolay [14]3 years ago
6 0

Answer: Yes, Its range is At least 4.75% and at most 13.1%

Step-by-step explanation:

Let x represents rate of consume paid by consumer,

Then According to the question,

The maximum rate a consumer can pay for local sales tax is 8.35%

Since, the minimum tax rate can be 0,

⇒ 0 ≤ x ≤  8.35

⇒ 0 + 4.75 ≤ x + 4.75 ≤ 8.35 + 4.75

⇒ 4.75 ≤ x + 4.75 ≤ 13.1

Where, 4.75 is the sales tax,

Since, total tax = consumer tax + sales tax,

Hence, x + 4.75 represents the total tax paid by consumer,

⇒ 4.75 ≤ Total tax ≤ 13.1

⇒ The range of of possible sales tax rates that a consumer could pay on a taxable item in the state of Utah can be at least 4.75 % and can be at most 13.1 %

iogann1982 [59]3 years ago
4 0

Answer:

At least 4.75% and at most 13.1%

Step-by-step explanation:

Apex

You might be interested in
Let X denote the number of flaws along a 100-m reel of magnetic tape (an integer-valued variable). Suppose Zdenote the number of
Lemur [1.5K]

Answer:

a) P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)

P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)

And we can find this probability like this:

P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728

b) P(X \leq 30)= P(X

And using the z score we got:

P(X

c) P(X

And if we use the continuity correction we got:

P(X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Continuity correction means that we need to add and subtract 0.5 before standardizing the value specified.

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(25,5)  

Where \mu=25 and \sigma=5

Part a

For this case we want to find this probability:

P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)

And if we use the z score given by:

z =\frac{x-\mu}{\sigma}

We got this:

P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)

And we can find this probability like this:

P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728

Part b

For this case we want this probability:

P(X \leq 30)

And if we use the continuity correction we got:

P(X \leq 30)= P(X

And using the z score we got:

P(X

Part c

For this case we want this probability:

P(X

And if we use the continuity correction we got:

P(X

3 0
3 years ago
What is the unit rate of 320 to 16
tatiyna

Answer:

20

Step-by-step explanation:

7 0
3 years ago
How do I solve for the fourth term in this sequence?
tatiyna

Answer:

<h2>d(4) = 64</h2>

Step-by-step explanation:

d(1) = 13

d(n) = d(n - 1) + 17

where

n is the nth term

To find the 4th term we must first find the second term use it to find the 3rd term and use the 3rd term to find the 4th term

So we have

<u>For the 2nd term</u>

That's d(2)

We have

d(2) = d(2-1) + 17

d(2) = d(1) + 17

But d(1) = 13

d(2) = 13 + 17 = 30

<u>For the 3rd term d(3)</u>

That's

d(3) = d(3 - 1) + 17

d(3) = d(2) + 17

d(3) = 30 + 17 = 47

<u>For the 4th term that's d(4)</u>

We have

d(4) = d(4 - 1) + 17

d(4) = d(3) + 17

d(4) = 47 + 17

We have the final answer as

<h3>d(4) = 64</h3>

Hope this helps you

3 0
3 years ago
Please help me also explain your answer so I can get better at this thank you :)
Elina [12.6K]
Answer: 880

Explanation: 132/0.15 = 880 sry it wasnt thorough explanation i dont have time
6 0
2 years ago
Read 2 more answers
Anwser: <br> 36÷(1-9×1-4)+1+2
kkurt [141]
So this is a BIDMAS question so first you do what’s in the brackets so you have (1-9x1-4) and you have to do the multiplication first out of that to get (1-9-4) which is -12 so then you have overall 36 / -12 + 1 + 2 so you have to do the division first so do 36/-12 to get -3 and you have -3 + 1 + 2 which is 0 so your answer is 0.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Sara bought an $11 mop and 6 sponges. She spend a total of $20. Each sponge coat the same amount. Write an equation that can be
    11·1 answer
  • Can someone help me with question 4 please
    12·1 answer
  • Evaluate the expression. <br><br> (−3)3 + (5 − 2)4<br><br> HALLLPPPPPP MEEEE
    8·2 answers
  • Of all the students who participate in the school music programs in the district, 394 students play a wind instrument. If 2/5 of
    5·2 answers
  • Apa pemfaktoran dari x2-6x-16=0
    6·1 answer
  • Confused and need help please, step by step and exact location would be helpful
    14·1 answer
  • Mrs. treble charges her music students $25 per lesson plus a recital fee of $50. How many lessons can a student take if he/she d
    8·1 answer
  • 6th grade math help me pleaseeeee
    10·1 answer
  • The 200 students in a school band will attend an awards dinner. A random survey of 25 of these students was conducted to determi
    9·1 answer
  • Can anyone solve this, 4(-8m+5)=-32m-26
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!