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elena55 [62]
2 years ago
5

4. The sum of the reciprocals of two consecutive even integers is 11/60.Find the integers.

Mathematics
1 answer:
Vikentia [17]2 years ago
8 0
The integers are 10 and 12.

Hope this helps!
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When the smaller of two fractions is divided by the larger, the result is 7/9. Of the smaller is 8/3, find the larger.
raketka [301]

Answer:

Larger fraction = 24/7

Step-by-step explanation:

Given that:

Smaller fraction = 8/3

Larger fraction = ?

Let the larger fraction is x/y then according to the statement:

8/3 / x/y = 7/9

Rule: When there is a fraction in the denominator of a fraction, the lower fraction is reversed and multiplied with the upper one.

So, according to rule:

8/3 * y/x = 7/9

8y/ 3x = 7/9      

Now multiplying both sides by 3/8 we get

8y/ 3x * 3/8 = 7/9 *3/8

After cancellation:

y/x = 21/ 72

By reducing it to lowest form (dividing both by 3)

We ge:

y / x = 7/ 24

This means y= 7

                   x = 24

So the larger fraction will become: x/y =24/7      

  • Proof:

Smaller fraction / Larger fraction = 7/9

8/3 / 24/7 = 7/9

Applying Rule:

8/3 * 7/24 = 7/9

56/ 72 = 7/9

Reducing it to lowest fraction: (dividing both by 8)

7/9 = 7/9

Hence proved

I hope it will help you!

3 0
3 years ago
Mark is using a one-sample t-test on the following group:
irga5000 [103]

Based on the one-sample t-test that Mark is using, the two true statements are:

  • c.)The value for the degrees of freedom for Mark's sample population is five.
  • d.)The t-distribution that Mark uses has thicker tails than a standard normal distribution.

<h3>What are the degrees of freedom?</h3><h3 />

The number of subjects in the data given by Mark is 6 subjects.

The degrees of freedom can be found as:

= n - 1

= 6 - 1

= 5

This is a low degrees of freedom and one characteristic of low degrees of freedom is that their tails are shorter and thicker when compared to standard normal distributions.

Options for this question are:

  • a.)The t-distribution that Mark uses has thinner tails than a standard distribution.
  • b.)Mark would use the population standard deviation to calculate a t-distribution.
  • c.)The value for the degrees of freedom for Mark's sample population is five.
  • d.)The t-distribution that Mark uses has thicker tails than a standard normal distribution.
  • e.)The value for the degrees of freedom for Mark's sample population is six.

Find out more on the degrees of freedom at brainly.com/question/17305237

#SPJ1

5 0
2 years ago
What are the solutions of the quadratic equation (x – 8)2 – 13(x – 8) + 30 = 0?
notka56 [123]

Answer: last option.

Step-by-step explanation:

Remember the square of a binomial:

(a\±b)^2=a^2\±2ab+b^2

Given the equation (x-8)^2-13(x-8)+30 = 0, you need to simplify it:

(x^2-2(x)(8)+8^2)-13x+104+30=0\\x^2-16x+64-13x+134=0\\x^2-29x+198=0

Use the Quadratic formula:

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case:

a=1\\b=-29\\c=198

Substituting you get:

x=\frac{-(-29)\±\sqrt{(-29)^2-4(1)(198)}}{2(1)}

x=11\\x=18

5 0
3 years ago
Read 2 more answers
I don’t really understand this stuff. Anyone?
ycow [4]
MA is the bisector of RS
4 0
3 years ago
There are 8 g of protein in 8 ounces of milk. How many ounces would contain 100% of the RDA for protein if 59 g is recommended?
zloy xaker [14]
59 there is a gram of protein per ounce that is how i got that answer
6 0
3 years ago
Read 2 more answers
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