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
LuckyWell [14K]
3 years ago
9

Trent's salary used to be $143,020. After changing the amount of time he works, he has begun earning $78,661. By what percent di

d Trent's salary decrease?
Mathematics
1 answer:
svlad2 [7]3 years ago
6 0

Answer:

The salary decreased by 45%

Step-by-step explanation:

Given,

The previous salary of Trent is $143,020

The current salary of Trent is $78,661

The decrease in salary is ($143,020 - $78,661) = $64,359

When he used to get $143,020, the decrease in salary is = $64,359

When he used to get $1, the decrease in salary is = $64,359/$143,020

When he used to get $100, the decrease in salary is = $(64,359/143,020)*100

                                                                                        = 45%

Therefore, there is a decrease in salary by 45%.

You might be interested in
The first term of an arithmetic sequence is 7 and the sixth term is 22. Find(a)the common difference;(2)(b)the twelfth term;(2)(
SVEN [57.7K]

d = 3 , a₁₂ = 40 and Sx_{100} = 7775

In an arithmetic sequence the nth term and sum to n terms are

<h3>• an = a₁ + (n-1)d</h3><h3>• S_n = \frac{n}{2}[2a + (n-1)d]</h3><h3>where d is the common difference</h3><h3>a₆ = a₁ + 5d = 22 ⇒ 7 + 5d = 22 ⇒ 5d = 15 ⇔ d = 3</h3><h3>a₁₂ = 7 + 11d = 7 +( 11× 3) = 7 + 33 = 40</h3><h3>S₁₀₀ = \frac{50}{2}[(2×7) +(99×3)</h3><h3>       = 25(14 + 297) = 25(311)= 7775</h3>
7 0
3 years ago
if you’re good with set theory in math 30 please help with questions 31 and 32!! real answers only !!
GREYUIT [131]

Answer:  31) d     32) c

<u>Step-by-step explanation:</u>

31)

A = {1, 3, 5, 15}

B = {2, 3, 5, 7}

A ∪ B = {1, 2, 3, 5, 7, 15}

C = {2, 4, 6, 8}

(A ∪ B) ∩ C = {1, 2, 3, 5, 7, 15} ∩ {2, 4, 6, 8} = {2}

<em>2 is the only number in both sets</em>

32)

The pattern is: reflection, add symbol, ..., reflection, add symbol.

The last image shown is: add symbol

So the next image will be: reflection (flipped to the left)

7 0
3 years ago
The average fuel efficiency of U.S. light vehicles for 2005 was 21 mpg. If the standard deviation of the population was 2.9 and
statuscvo [17]

Answer:

1) The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341.

2) between 20 and 25 --> 21-25/2.9 = -1.38

Step-by-step explanation:

Problem #1:

  • Using the z-score formula, z = (x-μ)/σ/n, where x is the raw score = 20 mpg,μ is the population mean = 21 mpg , σ is the population standard deviation = 2.9, n = random number of samples.
<h3><u>X < 20</u></h3>
  • = z = 20 - 21/2.9/√25
  • = z = -1/2.9/5
  • = z = -1.72414
<h2><u><em>Now</em></u></h2>

<em>P-value from Z-Table:</em>

<h3><u>P(x<20) = 0.042341</u></h3>

Problem #2:

<h3>21-25/2.9 = -1.38</h3>
6 0
2 years ago
Find the geometric mean of 2 and 3
Sav [38]
The first step in solving this problem is taking 2 and 3 and multiplying them (2 * 3 = 6) .
Now, for the second step, we will cube it. Since there are 2 numbers, we are going to use the 2nd root (2sqrt(6)) This will give us: 4.89897948557 or 5 if you would round it. This would be the Geometric Mean.
7 0
3 years ago
The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 30 mm and standard d
skelet666 [1.2K]

Answer:

z=-0.842

And if we solve for a we got

a=30 -0.842*7.8=23.432

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.  

Step-by-step explanation:

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

X \sim N(30,7.8)  

Where \mu=30 and \sigma=7.8

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.80   (a)

P(X   (b)

As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.842

And if we solve for a we got

a=30 -0.842*7.8=23.432

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.  

8 0
3 years ago
Other questions:
  • What does this math problem equal help me!!!!!1(-32-s)(-9)=
    7·1 answer
  • Solve and show your work.<br> 26 = 3x - 2 - 7x
    5·1 answer
  • The quotient of a number and 3 minus two is at least -12.I NEEE IT PLEASEEEEEE
    12·1 answer
  • Accident rate data y1, ...., y12 were collected over 12 consecutive years t=1,2,...12. At over 12 consecutive years t = 1,2,...,
    11·1 answer
  • Y = 14x + -10<br> y = 7x +-3
    13·1 answer
  • Please help me please will give brainliest <br><br>only jobs​
    8·1 answer
  • (5-×)(×-3)<br><img src="https://tex.z-dn.net/?f=%285%20-%20x%29%28x%20-%203%29" id="TexFormula1" title="(5 - x)(x - 3)" alt="(5
    5·1 answer
  • A group of people planned to go to the amusement
    15·1 answer
  • -13+12p - 4 = 6(2p-1)​
    14·2 answers
  • What is the product of 42.8 • 0.14?<br><br> 5.990<br> 5.992<br> 6.100<br> 59.92
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!