All categories

3 years ago

17. Scott cuts his birthday cake into nine equal pieces and eats two of them.

Mathematics

1 answer:

Roman55 [17]3 years ago

7 0

Answer:

A. 0.2222

B. Repeat indefinitely

Step-by-step explanation:

A. We have that Scott has 9 pieces in total and he eats 2 of them. That means he eats 2 <em>out of </em>the 9, so we have 2 ÷ 9. (see attachment)

The decimal form is: 0.2222.

B. Clearly, we can see that throughout the long division, we keep getting 20 - 18 = 2, which makes another 20 and so on. So, this will repeat indefinitely.

You might be interested in

which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect?

aleksklad [387]

Circumcenter for the Apex students :)

6 0

3 years ago

The box plots below show attendance at a local movie theater and high school basketball games: Two box plots are shown. The top

nignag [31]

Answer:

Inter-quartile range

Step-by-step explanation:

When you have the quartile, you can use the IQR (interquartile range) to measure the dispersion.

IQR = Q3 - Q1

Movies: IQR = 195 - 162 = 33

Basketball: IQR = 225 - 170 = 55

Attendance at Basketball is more dispersed/spread out as compared to attendance at Movies

8 0

3 years ago

Help Pls I need the answer to t<br><br><img src="https://tex.z-dn.net/?f=0%3D-16t%5E2%2B704t" id="TexFormula1" title="0=-16t^2+7

Xelga [282]

Answer:

t=0 or t=44

Step-by-step explanation:

There are a few methods to do this, the most obvious being the use of the quadratic formula.

However, a quick check with a calculator or even your mind will reveal that 704 is divisible by 16. Thus we can solve this through factoring.

-16t(t-44)=0

Using the zero factor principle:

-16t=0 and so t=0

t-44=0 and so t=44

And thus we get the solution.

7 0

3 years ago

A certain new type of business succeeds 60% of the time. Suppose that 3 such businesses open (where they do not compete with eac

ella [17]

Answer:

0.216

Step-by-step explanation:

Given that a certain new type of business succeeds 60% of the time.

3 such businesses are tested for success.

Since these three businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). we can say X no of successful businesses is Binomial

with p = 0.6 and n =3

Required probability

=The probability that all 3 businesses succeed is:

= $P(X=3)\\= 0.6^3\\= 0.216$

8 0

3 years ago

Zina goes shopping. She buys in the same store two scarves and three T-shirts for

Umnica [9.8K]

Answer:

The price of T-shirts before the sale = 42 euros

The price of scarves before the sale = -77/2 euros

Step-by-step explanation:

The cost of the items Zina buys from the store initially are;

Two scarves and three T-shirts for 49 euros

The reduction in the price of scarves a week later during sales = 1.5 euros

The reduction in the price of T-shirts a week later during sales = 2 euros

The items Zina bought for 40 euros at the reduced price of the sales opportunity are;

Four scarves and five T-shirts for 40 euros

Let 'x' represent the initial price of a scarf and let 'y' represent the initial price of a T-shirt, we have;

2·x + 3·y = 49...(1)

4·(x - 1.5) + 5·(y - 2) = 40...(2)

Expanding equation (2) gives;

4·x - 6 + 5·y - 10 = 40

4·x + 5·y = 40 + 6 + 10 = 56

∴ 4·x + 5·y = 56...(3)

By multiplying equation (1) by 2 and subtracting the result from equation (3), we get;

4·x + 5·y - 2 × (2·x + 3·y) = 56 - 2 × 49 = -63

-y = -42

y = 42

The price of T-shirts before the sale = 42 euros

x = (49 - 3 × 42)/2 = -77/2

x = -77/2

The price of scarves before the sale = -77/2 euros

(However, if the had bought the 4 scarves and 5 T-shirts during sales at 70 euros, we get;

The price of T-shirts before the sale = 12 euros

The price of scarves before the sale = 6.5 euros.

The allowable total price for the reduced 4 scarves and 5 T-shirts is between 66 and about 82 for both initial prices to be +ve)

6 0

3 years ago