In one month, Jason earns $32.50 less than twice the amount Kevin earns. Jason earns $212.50. How much does Kevin earn?

Answers

Answer 1

Answer:

Answer:

Kevin earns $122.5 a month.

Step-by-step explanation:

First we sum, 212.5 + 32.5 = 245 which is twice the amount of $ Kevin makes in a month, so we divide by 2, 245/2 which is 122.5

Related Questions

Why is 85, 19, 17, 4, and 2 is similar?
Miles and Nick each separately apply for and receive loans worth $5,000 apiece. Miles has a very good credit score, so his loan has an APR of 7.75%, compounded monthly. Nick’s credit score is rather low, so his loan has an APR of 13.10% interest, compounded monthly. If both of them repay their loans over a four year period, making equal monthly payments based on their own loan, how much more will Nick have paid than Miles? (Round all dollar values to the nearest cent.) a.$619.68 b.$267.50 c.$1,609.57 d.$1,070.00
The first term of an arithmetic progression is -3 and the common difference is 8. What is the 28th term? 213 226 229 220
If I have a budget of 1,325 for renting a conference room for 26 people and the room is 270, which inequality can i use to find the amount I can spend on lunch foe each person?
Find f (3) of the function: x square - 2x + 1

Find the missing value of a triangle one leg is 12 and the long side is 20 what is the other leg?

Answers

Simple,

using the Pythagorean Theorem...

$a^(2) + b^(2) = c^(2)$

You have the hypotenuse (C) and one of the legs (A)

So, plug in what you know...

$12^(2)+ b^(2) = 20^(2)$

144+ $b^(2)$ =400

Now,isolate $b^(2)$

$144+ b^(2) =400$
-144 -144

Leaving you with...

$b^(2) =256$

So, now, $√(256)$ , to find what b is..

b=16

Thus, your answer.

IF this is a 'right' triangle, then we can calculate an answer.
If it's NOT a right triangle, then no answer is possible.

I'm going to assume that it's a right triangle, because you did say
that one 'leg' is 12, and you want the length of the other 'leg'. It's
common to refer to the two short sides of a right triangle as 'legs'.

In "Tales of Pythagoras", we learned that in a right triangle ...

(Longest side)² = (one leg)² + (the other leg)²

In your triangle ...

   (20)²       = (12)² + (the other leg)²

      (400)    = (144) + (the other leg)²

Subtract 144 from each side: (The other leg)² = (400 - 144) = 256

   The other leg    = √256 = 16 .

Publishing scientific papers online is fast, and the papers can be long. Publishing in a paper journal means that the paper will live forever in libraries. The British Medical Journal combines the two; it prints short and reasonable versions, with longer versions available online. Is this OK with authors? The journal asked about a random sample of 104 of its recent authors' several questions. One question was, "Should the journal continue using this system?"
In the sample, 72 said "yes."
(a) do the data give good evidence that more than two-thirds (67%) of authors support continuing this system? carry out an appropriate test to help answer this question.
(b) interpret the p-values from your test in the context of the problem.

Answers

Answer:

There is no significant evidence that more than two-thirds (67%) of authors support continuing this system.

Step-by-step explanation:

Let p be the proportion of authors who support continuing the system

Then hypotheses are:

$H_(0)$ : p=0.67

$H_(a)$ : p>0.67

To calculate the test statistic:

z= $\frac{p(s)-p}{\sqrt{(p*(1-p))/(N) } }$ where

p(s) is the sample proportion of authors who support the publishing system ( $(72)/(104)$ ≈0.692)

p is the proportion assumed under null hypothesis. (0.67)

N is the sample size (104)

Then z= $\frac{0.692-0.67}{\sqrt{(0.67*0.33)/(104) } }$ ≈ 0.477

p-value of test statistic is ≈0.317

Assuming a significance level 0.05, since 0.317>0.05 we fail to reject the null hypothesis.

p-value 0.317 is the probability that the sample is drawn from the distribution assumed under null hypothesis, that is where the proportion of authors supporting the new publishing system is at most 0.67

Final answer:

A hypothesis test for a proportion is used to determine whether more than two-thirds of authors support continuing the system. The p-value associated with the test is less than 0.0001, indicating that the data provide good evidence in favor of the alternative hypothesis. Therefore, the majority of authors support continuing the system.

Explanation:

To determine whether the data provides evidence that more than two-thirds (67%) of authors support continuing the system, we can use a hypothesis test for a proportion. We will use a significance level of 0.05.

Let's set up our hypotheses:

Null hypothesis (H0): p ≤ 0.67 (less than or equal to two-thirds support)
Alternative hypothesis (Ha): p > 0.67 (more than two-thirds support)

Using the normal approximation to the binomial, we can calculate the test statistic and p-value. With a sample size of 104 and 72 authors in favor, the test statistic is:

z = (72 - 0.67 * 104) / sqrt(0.67 * (1 - 0.67) * 104) ≈ 3.79

The p-value associated with a z-score of 3.79 is less than 0.0001. Since this p-value is less than 0.05, we reject the null hypothesis.

Therefore, the data provide good evidence that more than two-thirds of authors support continuing the system.

Learn more about Hypothesis testing here:

brainly.com/question/34171008

#SPJ6

Suppose Richard walks 1 kilometer every 10 minutes.how many meters further can he walk in 1 hour at this new rate?explain how you found your answer.

Answers

This Problem Is Actually Quite Simple If You Look. There Are 60 Minutes In One Hour. A Proportional Relationship Will Help.
10 60
---- = ---
1 X

10X = 60.
-------------
10 10
X = 6.

Since X = 6, That Means Richard Can Walk 6 kilometers In One Hour. :D
I Hope This Helps You!

Prove that 2x^2+x+8>0 for all real values of x.

Answers

$y = 2x^2 + x + 8$ is a polynomial of even degree, with a positive $x^2$ coefficient, meaning that
- it will have exactly one turning point
- that turning point will be a minimum

So, if the y-coordinate of the turning point is positive, then this polynomial will be positive for all real values of x.

At a turning point, the gradient of y will be equal to 0. The gradient of y is given by
$\frac{\mathrm{d}y}{\mathrm{d}x} = 4x + 1$ .

To find the turning point, set this equal to 0 and solve for x:
$4x + 1 = 0 \implies x = -(1)/(4)$ .

Substituting this value into the equation gives
$y = 2(-(1)/(4))^2 + (-(1)/(4)) + 8 = (1)/(4) - (1)/(4) + 8 = 8 \ \textgreater \ 0$ .

Since the minimum point of the equation is greater than 0, the equation will be greater than 0 for all real values of x.

clark left for school at 7:43 am He got to school 36 minutes later. At what time did Clark get to school

Answers

Clark got to school at 8:19 am.
36 minutes can be split up into 6 minutes and 30 minutes. Six minutes after 7:43 am is 7:49 am. Thirty minutes after 7:49 am is 8:19 am.

Clark got to school at 8:19 am. ------------------ 36 minutes can be split up into 6 minutes and 30 minutes. Six minutes after 7:43 am is 7:49 am. Thirty minutes after 7:49 am is 8:19 am.

The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year and round answers to the nearest cent.P=$180, r=3%, t= 2 years

Answers

Y= (180(1+.03)^2)-180

Other Questions

For water to be a liquid, its temperature must be within 50 Kelvin of 323 Kelvin. Which equation can be used to determine the minimum and maximum temperatures between which water is a liquid?

Find the 5th term sequence defined as : a(n)=(n+3)∧n-1

In rhombus ABCD, AB = 2x - 2 and BC = x + 8. Find the length of BCPlease help!!

Solve for x: x − 2 > 2x + 12.x > 14 x < 14 x > −14 x < −14