MATHEMATICS COLLEGE

What is the difference in length between 1 1/4 inch button and a 3/8 inch button

Answers

Answer 1

Answer:

Answer:7/8 of an inch

Step-by-step explanation: 1 and 1/4 inch is 5/4 inches, which can be converted into 10/8

10/8-3/8=7/8

Answer 2

Answer:

Answer:

7/8

Step-by-step explanation:

1 1/4 or 5/4 - 3/8 or 10/8-3/8

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Jamie borrowed $361.75 from his uncle,who has agreed to charge him a monthly
simple interest rate of 2.5%. Jamie pays
his uncle back in 7 months.

Answers

He pays 370.28125.

What is Simple Interest?

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given:

Jamie borrowed = $361.75

Simple interest = 2.5%

As, Simple interest is not compounded.

so,

361.75 x 1.025

=370.28125

Hence, he pays 370.28125.

Learn more about simple interest here:

brainly.com/question/25845758

#SPJ2

Answer:

Jamie will pay back a total of 370.79

Step-by-step explanation:

361.75 x 1.025

Simple interest is not compounded so just multiply the borrowed amount by

1 + .025

How effective is the regression model for these data? not effective, because only 13.4% of the variation in the data is explained by the model not effective, because only 36.6% of the variation in the data is explained by the model extremely effective, because 13.4% of the variation in the data is explained by the model extremely effective, because 36.6% of the variation in the data is explained by the model

Answers

Answer:45

Step-by-step explanation:

A bill totalled 37.50 for the use of 125 minutes, what would the bill be if I used 175 minutes

Answers

125/37.50= 3.33R so if we take 3.33R and multiply it by 175 we would get 58.27. so i would assume that that would be the closest i can get to the answer. hope this helps!

The sum of the squares of two consecutive odd positive integers is 74. Find the integers.

Answers

Let first odd number be x

Then that would be $x^2 + (x+2)^2=74$ . We need to solve for x.

$x^2 + (x+2)^2=74\n\ \nx^2 + x^2 + 4x+4 = 74\n\ \n2x^2 + 4x +4=74\n\ \n2x^2+4x-70 = 0\n\ \n2(x^2+2x-35)=0\n\ \n2(x+7)(x-5)=0\n\ \nx=-7\text{ or }5$

But we need positive integers so we would have $\boxed{x=5}$ , so then our integers would be x, x+2 = 5, 7

Check work:

5² + 7² = 25 + 49 = 74.

So our integers would be 5 and 7.

Hope this helps.

Let’s use a sample set.
Let’s use 5 and 7.
5•5=25
7•7=49
49+25=74
The integers are 5 and 7. The way I found this was by thinking of 9 and 11 at first. I knew that it would be entirely way too much, but 3 and 1 would be too little. 5 and 7 fit in the middle of those two samples.

Your answer is 5 and 7.

Assume that, on average, healthy young adult’s dream 90 minutes each night, as inferred from a number of measures, including rapid eye movement (REM) sleep. An investigator wishes to determine whether drinking coffee just before going to sleep affects the amount of dream time. After drinking a standard amount of coffee, dream time is monitored for each of 28 healthy young adults in a random sample. Results show a sample mean, X, of 88 minutes and a sample standard deviation, s, of 9 minutes. (a) Use t to test the null hypothesis at the .05 level of significance (b) If appropriate (because the null hypothesis has been rejected), construct a 95 per-cent confidence interval and interpret this interval

Answers

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 90

For the alternative hypothesis,

µ < 90

If drinking coffee just before going to sleep affects the amount of dream time, then the amount of dream time would be less than 90 minutes. It means that it is left tailed.

Since the number of samples is 28 and no population standard deviation is given, the distribution is a student's t.

Since n = 28,

Degrees of freedom, df = n - 1 = 28 - 1 = 27

t = (x - µ)/(s/√n)

Where

x = sample mean = 88

µ = population mean = 90

s = samples standard deviation = 9

t = (88 - 90)/(9/√28) = - 1.176

We would determine the p value using the t test calculator. It becomes

p = 0.124

Since alpha, 0.05 < than the p value, 0.124, then we would not reject the null hypothesis. Therefore, At a 5% level of significance, the sample data did

not show significant evidence that drinking coffee just before going to sleep affects the amount of dream time.

If AB =6 , AE=12 and CE =18, what is the length of DE

Answers

Answer:

Step-by-step explanation:

it shows that each number is added by 6 so you would have to at 6+18 which would be DE=24

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Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.A(n) = 1 + (n – 1)(–5.7)1, –21.8, –56–5.7, –21.8, –51.31, –16.1, –50.30, –17.1, –51.3If someone answers this, i'd like if someone could help me to know how to solve it too, please and thank you!