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2 years ago

Find two arithmetic means between 6 and 30

Mathematics

1 answer:

katrin2010 [14]2 years ago

8 0

Answer

14.22

Step-by-step explanation:

Let d be the common difference betwen consecutive terms of the arithmetic sequence.

Two arithmetic means required are 6 + d and 6 + 2d, where 6 + 3d = 30.

6 + 3d = 30

3d = 24

d = 8.

The two means required are 6 + 8 = 14, and 6 + 2 * 8 = 22.

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Katarina bought a package of 500 stickers. Each sheet in the package has 20 stickers.

Mashcka [7]

I think there are 125 heart stickers and 375 star stickers. 20/4 = 5, so there are 5 heart stickers per sheet. there are 25 sheets in the package, 5 x 25 = 125. if the remaining stickers on a sheet are stars then there are 15 star stickers per sheet. 15 x 25 = 375.

5 0

2 years ago

In a recent questionnaire about food, a random sample of 970 adults were asked about whether they prefer eating fruits or vegeta

alukav5142 [94]

Answer:

$Z_{0.05}=1.645$

Step-by-step explanation:

Given :In a recent questionnaire about food, a random sample of 970 adults were asked about whether they prefer eating fruits or vegetables, and 458 reported that they preferred eating vegetables.

To Find :What value of z should be used to calculate a confidence interval with a 95 % confidence level?

Solution:

Confidence level = 95 % i.e.0.95

So, significance level = 5% i.e. 0.05

So, the value of z corresponding to significance level 0.05 should be used to calculate a confidence interval with a 95 % confidence level

So, $Z_{0.05}=1.645$

Hence z should be 1.645 to calculate a confidence interval with a 95 % confidence level.

4 0

2 years ago

By selling a book for $16.50, a bookseller loses 12%. What is the cost price of the book?

Alika [10]

Answer: 18. 75

Step-by-step explanation:

plz follow my table format here i will be delighted to share

cp percent fraction sp

-12 88/100 16. 50

100*16.50 /88= 18.75

7 0

2 years ago

What does it mean in context of the example that Alyssa’s rate of change is greater than Sarah’s?

faltersainse [42]

Answer:

Part 1) The rate of change is the amount of money saved by week

Part 2) The amount of money saved weekly by Alyssa is greater than the amount of money saved weekly by Sarah.

Part 3) see the explanation

Step-by-step explanation:

see the attached figure to better understand the problem

The complete question is

Part 1) What does the rate of change in the example represent?

Part 2) What does it mean in context of the example that Alyssa’s rate of change is greater than Sarah’s?

Part 3) Write ordered pairs for the initial values of each function. Tell what the initial values represent

Part 1) we know that

The rate of change is the slope or unit rate of the linear equation

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

In this context the rate of change is the amount of money saved by week

Part 2) we know that

Alyssa’s rate of change is equal to $8 per week

Sarah’s rate of change is equal to $6 per week

That means ----> The amount of money saved weekly by Alyssa is greater than the amount of money saved weekly by Sarah.

Part 3) we know that

The initial value or y-intercept is the value of y when the value of x is equal to zero

In this context , the initial value is the amount of money available at the time of beginning to save

Sarah's Savings

Looking at the graph

The initial value is the point (0,8)

That means ----> At the beginning (x=0), Sarah already had $8 saved.

Alyssa's Savings

Looking at the graph

The initial value is the point (0,0)

That means ----> At the begin (x=0), Alyssa had nothing saved.

8 0

2 years ago

Find all polar coordinates of point P = (6, 31°).

wel

as far as I can tell, is just a matter of going around the circle many or infinite times around.

so 6,31° is the first point, the next point will be one-go-around, 6, 31+360 => 6, 391°

then the next will be 6, 391+360 => 6, 751° and so on.

so we can say is (6, 31° ±360°n), n ∈ ℤ.

6 0

2 years ago